TSTP Solution File: NLP007^7 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NLP007^7 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:02:41 EDT 2024
% Result : Theorem 66.87s 8.84s
% Output : Refutation 66.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NLP007^7 : TPTP v8.1.2. Released v5.5.0.
% 0.06/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 12:45:29 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.F9uYMae9ba/Vampire---4.8_3911
% 0.14/0.38 % (4067)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.38 % (4064)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.14/0.38 % (4068)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.14/0.38 % (4070)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.14/0.38 % (4067)Instruction limit reached!
% 0.14/0.38 % (4067)------------------------------
% 0.14/0.38 % (4067)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (4067)Termination reason: Unknown
% 0.14/0.38 % (4067)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (4067)Memory used [KB]: 1151
% 0.14/0.38 % (4067)Time elapsed: 0.004 s
% 0.14/0.38 % (4067)Instructions burned: 3 (million)
% 0.14/0.38 % (4067)------------------------------
% 0.14/0.38 % (4067)------------------------------
% 0.14/0.38 % (4070)Instruction limit reached!
% 0.14/0.38 % (4070)------------------------------
% 0.14/0.38 % (4070)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (4070)Termination reason: Unknown
% 0.14/0.38 % (4070)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (4070)Memory used [KB]: 1151
% 0.14/0.38 % (4070)Time elapsed: 0.003 s
% 0.14/0.38 % (4070)Instructions burned: 3 (million)
% 0.14/0.38 % (4070)------------------------------
% 0.14/0.38 % (4070)------------------------------
% 0.14/0.38 % (4069)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.14/0.38 % (4064)Instruction limit reached!
% 0.14/0.38 % (4064)------------------------------
% 0.14/0.38 % (4064)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (4064)Termination reason: Unknown
% 0.14/0.38 % (4064)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (4064)Memory used [KB]: 1151
% 0.14/0.38 % (4064)Time elapsed: 0.004 s
% 0.14/0.38 % (4064)Instructions burned: 5 (million)
% 0.14/0.38 % (4064)------------------------------
% 0.14/0.38 % (4064)------------------------------
% 0.14/0.38 % (4066)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.38 % (4066)Instruction limit reached!
% 0.14/0.38 % (4066)------------------------------
% 0.14/0.38 % (4066)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (4066)Termination reason: Unknown
% 0.14/0.39 % (4066)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (4066)Memory used [KB]: 1151
% 0.14/0.39 % (4066)Time elapsed: 0.005 s
% 0.14/0.39 % (4066)Instructions burned: 2 (million)
% 0.14/0.39 % (4066)------------------------------
% 0.14/0.39 % (4066)------------------------------
% 0.14/0.39 % (4063)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.14/0.39 % (4065)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on Vampire---4 for (2999ds/27Mi)
% 0.14/0.39 % (4069)Instruction limit reached!
% 0.14/0.39 % (4069)------------------------------
% 0.14/0.39 % (4069)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (4069)Termination reason: Unknown
% 0.14/0.39 % (4069)Termination phase: Property scanning
% 0.14/0.39
% 0.14/0.39 % (4069)Memory used [KB]: 1407
% 0.14/0.39 % (4069)Time elapsed: 0.011 s
% 0.14/0.39 % (4069)Instructions burned: 19 (million)
% 0.14/0.39 % (4069)------------------------------
% 0.14/0.39 % (4069)------------------------------
% 0.14/0.40 % (4072)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on Vampire---4 for (2999ds/15Mi)
% 0.14/0.40 % (4071)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (2999ds/37Mi)
% 0.14/0.40 % (4073)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.20/0.40 % (4073)Instruction limit reached!
% 0.20/0.40 % (4073)------------------------------
% 0.20/0.40 % (4073)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (4073)Termination reason: Unknown
% 0.20/0.40 % (4073)Termination phase: shuffling
% 0.20/0.40
% 0.20/0.40 % (4073)Memory used [KB]: 1151
% 0.20/0.40 % (4073)Time elapsed: 0.004 s
% 0.20/0.40 % (4073)Instructions burned: 4 (million)
% 0.20/0.40 % (4073)------------------------------
% 0.20/0.40 % (4073)------------------------------
% 0.20/0.40 % (4074)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (2999ds/1041Mi)
% 0.20/0.40 % (4065)Instruction limit reached!
% 0.20/0.40 % (4065)------------------------------
% 0.20/0.40 % (4065)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (4065)Termination reason: Unknown
% 0.20/0.40 % (4065)Termination phase: Property scanning
% 0.20/0.40
% 0.20/0.40 % (4065)Memory used [KB]: 1407
% 0.20/0.40 % (4072)Instruction limit reached!
% 0.20/0.40 % (4072)------------------------------
% 0.20/0.40 % (4072)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (4065)Time elapsed: 0.015 s
% 0.20/0.40 % (4065)Instructions burned: 28 (million)
% 0.20/0.40 % (4065)------------------------------
% 0.20/0.40 % (4065)------------------------------
% 0.20/0.40 % (4072)Termination reason: Unknown
% 0.20/0.40 % (4072)Termination phase: shuffling
% 0.20/0.40
% 0.20/0.40 % (4072)Memory used [KB]: 1407
% 0.20/0.40 % (4072)Time elapsed: 0.009 s
% 0.20/0.40 % (4072)Instructions burned: 16 (million)
% 0.20/0.40 % (4072)------------------------------
% 0.20/0.40 % (4072)------------------------------
% 0.20/0.41 % (4075)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.20/0.41 % (4075)Instruction limit reached!
% 0.20/0.41 % (4075)------------------------------
% 0.20/0.41 % (4075)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (4075)Termination reason: Unknown
% 0.20/0.41 % (4075)Termination phase: shuffling
% 0.20/0.41
% 0.20/0.41 % (4075)Memory used [KB]: 1279
% 0.20/0.41 % (4075)Time elapsed: 0.006 s
% 0.20/0.41 % (4075)Instructions burned: 7 (million)
% 0.20/0.41 % (4075)------------------------------
% 0.20/0.41 % (4075)------------------------------
% 0.20/0.41 % (4068)Refutation not found, incomplete strategy
% 0.20/0.41 % (4068)------------------------------
% 0.20/0.41 % (4068)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (4068)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.41
% 0.20/0.41
% 0.20/0.41 % (4068)Memory used [KB]: 6140
% 0.20/0.41 % (4068)Time elapsed: 0.033 s
% 0.20/0.41 % (4068)Instructions burned: 69 (million)
% 0.20/0.41 % (4068)------------------------------
% 0.20/0.41 % (4068)------------------------------
% 0.20/0.41 % (4071)Instruction limit reached!
% 0.20/0.41 % (4071)------------------------------
% 0.20/0.41 % (4071)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (4071)Termination reason: Unknown
% 0.20/0.41 % (4071)Termination phase: Function definition elimination
% 0.20/0.41
% 0.20/0.41 % (4071)Memory used [KB]: 1407
% 0.20/0.41 % (4071)Time elapsed: 0.018 s
% 0.20/0.41 % (4071)Instructions burned: 37 (million)
% 0.20/0.41 % (4071)------------------------------
% 0.20/0.41 % (4071)------------------------------
% 0.20/0.41 % (4076)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.20/0.42 % (4077)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.20/0.42 % (4078)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.20/0.42 % (4077)Instruction limit reached!
% 0.20/0.42 % (4077)------------------------------
% 0.20/0.42 % (4077)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (4077)Termination reason: Unknown
% 0.20/0.42 % (4077)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (4077)Memory used [KB]: 1151
% 0.20/0.42 % (4077)Time elapsed: 0.004 s
% 0.20/0.42 % (4077)Instructions burned: 4 (million)
% 0.20/0.42 % (4077)------------------------------
% 0.20/0.42 % (4077)------------------------------
% 0.20/0.42 % (4078)Instruction limit reached!
% 0.20/0.42 % (4078)------------------------------
% 0.20/0.42 % (4078)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (4078)Termination reason: Unknown
% 0.20/0.42 % (4078)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (4078)Memory used [KB]: 1151
% 0.20/0.42 % (4078)Time elapsed: 0.004 s
% 0.20/0.42 % (4078)Instructions burned: 5 (million)
% 0.20/0.42 % (4078)------------------------------
% 0.20/0.42 % (4078)------------------------------
% 0.20/0.42 % (4076)Instruction limit reached!
% 0.20/0.42 % (4076)------------------------------
% 0.20/0.42 % (4076)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (4076)Termination reason: Unknown
% 0.20/0.42 % (4076)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (4076)Memory used [KB]: 1407
% 0.20/0.42 % (4076)Time elapsed: 0.010 s
% 0.20/0.42 % (4076)Instructions burned: 18 (million)
% 0.20/0.42 % (4076)------------------------------
% 0.20/0.42 % (4076)------------------------------
% 0.20/0.42 % (4079)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.20/0.43 % (4080)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.20/0.43 % (4081)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.20/0.43 % (4079)Instruction limit reached!
% 0.20/0.43 % (4079)------------------------------
% 0.20/0.43 % (4079)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (4079)Termination reason: Unknown
% 0.20/0.43 % (4079)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (4079)Memory used [KB]: 1279
% 0.20/0.43 % (4079)Time elapsed: 0.006 s
% 0.20/0.43 % (4079)Instructions burned: 8 (million)
% 0.20/0.43 % (4079)------------------------------
% 0.20/0.43 % (4079)------------------------------
% 0.20/0.43 % (4080)Instruction limit reached!
% 0.20/0.43 % (4080)------------------------------
% 0.20/0.43 % (4080)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (4080)Termination reason: Unknown
% 0.20/0.43 % (4080)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (4080)Memory used [KB]: 1151
% 0.20/0.43 % (4080)Time elapsed: 0.004 s
% 0.20/0.43 % (4080)Instructions burned: 4 (million)
% 0.20/0.43 % (4080)------------------------------
% 0.20/0.43 % (4080)------------------------------
% 0.20/0.43 % (4081)Instruction limit reached!
% 0.20/0.43 % (4081)------------------------------
% 0.20/0.43 % (4081)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (4081)Termination reason: Unknown
% 0.20/0.43 % (4081)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (4081)Memory used [KB]: 1151
% 0.20/0.43 % (4081)Time elapsed: 0.004 s
% 0.20/0.43 % (4081)Instructions burned: 4 (million)
% 0.20/0.43 % (4081)------------------------------
% 0.20/0.43 % (4081)------------------------------
% 0.20/0.43 % (4083)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.20/0.44 % (4082)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.20/0.44 % (4082)Instruction limit reached!
% 0.20/0.44 % (4082)------------------------------
% 0.20/0.44 % (4082)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (4082)Termination reason: Unknown
% 0.20/0.44 % (4082)Termination phase: shuffling
% 0.20/0.44
% 0.20/0.44 % (4082)Memory used [KB]: 1407
% 0.20/0.44 % (4082)Time elapsed: 0.010 s
% 0.20/0.44 % (4082)Instructions burned: 18 (million)
% 0.20/0.44 % (4085)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on Vampire---4 for (2999ds/902Mi)
% 0.20/0.44 % (4082)------------------------------
% 0.20/0.44 % (4082)------------------------------
% 0.20/0.44 % (4086)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (2999ds/21Mi)
% 0.20/0.45 % (4084)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.20/0.45 % (4087)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.20/0.45 % (4084)Instruction limit reached!
% 0.20/0.45 % (4084)------------------------------
% 0.20/0.45 % (4084)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (4084)Termination reason: Unknown
% 0.20/0.45 % (4084)Termination phase: shuffling
% 0.20/0.45
% 0.20/0.45 % (4084)Memory used [KB]: 1151
% 0.20/0.45 % (4084)Time elapsed: 0.005 s
% 0.20/0.45 % (4084)Instructions burned: 6 (million)
% 0.20/0.45 % (4084)------------------------------
% 0.20/0.45 % (4084)------------------------------
% 0.20/0.45 % (4087)Instruction limit reached!
% 0.20/0.45 % (4087)------------------------------
% 0.20/0.45 % (4087)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (4087)Termination reason: Unknown
% 0.20/0.45 % (4087)Termination phase: shuffling
% 0.20/0.45
% 0.20/0.45 % (4087)Memory used [KB]: 1151
% 0.20/0.45 % (4087)Time elapsed: 0.005 s
% 0.20/0.45 % (4087)Instructions burned: 6 (million)
% 0.20/0.45 % (4087)------------------------------
% 0.20/0.45 % (4087)------------------------------
% 0.20/0.45 % (4086)Instruction limit reached!
% 0.20/0.45 % (4086)------------------------------
% 0.20/0.45 % (4086)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (4086)Termination reason: Unknown
% 0.20/0.45 % (4086)Termination phase: Property scanning
% 0.20/0.45
% 0.20/0.45 % (4086)Memory used [KB]: 1407
% 0.20/0.45 % (4086)Time elapsed: 0.012 s
% 0.20/0.45 % (4086)Instructions burned: 22 (million)
% 0.20/0.45 % (4086)------------------------------
% 0.20/0.45 % (4086)------------------------------
% 0.20/0.46 % (4085)Refutation not found, incomplete strategy
% 0.20/0.46 % (4085)------------------------------
% 0.20/0.46 % (4085)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (4085)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.46
% 0.20/0.46
% 0.20/0.46 % (4085)Memory used [KB]: 5884
% 0.20/0.46 % (4085)Time elapsed: 0.022 s
% 0.20/0.46 % (4085)Instructions burned: 41 (million)
% 0.20/0.46 % (4085)------------------------------
% 0.20/0.46 % (4085)------------------------------
% 0.20/0.46 % (4090)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on Vampire---4 for (2999ds/779Mi)
% 0.20/0.46 % (4088)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 Vampire---4 for (2999ds/6Mi)
% 0.20/0.47 % (4089)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2999ds/377Mi)
% 0.20/0.47 % (4088)Instruction limit reached!
% 0.20/0.47 % (4088)------------------------------
% 0.20/0.47 % (4088)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47 % (4088)Termination reason: Unknown
% 0.20/0.47 % (4088)Termination phase: shuffling
% 0.20/0.47
% 0.20/0.47 % (4088)Memory used [KB]: 1279
% 0.20/0.47 % (4088)Time elapsed: 0.005 s
% 0.20/0.47 % (4088)Instructions burned: 6 (million)
% 0.20/0.47 % (4088)------------------------------
% 0.20/0.47 % (4088)------------------------------
% 0.20/0.47 % (4091)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 Vampire---4 for (2999ds/19Mi)
% 0.20/0.47 % (4063)Instruction limit reached!
% 0.20/0.47 % (4063)------------------------------
% 0.20/0.47 % (4063)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47 % (4063)Termination reason: Unknown
% 0.20/0.47 % (4063)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (4063)Memory used [KB]: 6652
% 0.20/0.47 % (4063)Time elapsed: 0.092 s
% 0.20/0.47 % (4063)Instructions burned: 184 (million)
% 0.20/0.47 % (4063)------------------------------
% 0.20/0.47 % (4063)------------------------------
% 0.20/0.48 % (4091)Instruction limit reached!
% 0.20/0.48 % (4091)------------------------------
% 0.20/0.48 % (4091)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (4091)Termination reason: Unknown
% 0.20/0.48 % (4091)Termination phase: Property scanning
% 0.20/0.48
% 0.20/0.48 % (4091)Memory used [KB]: 1407
% 0.20/0.48 % (4091)Time elapsed: 0.011 s
% 0.20/0.48 % (4091)Instructions burned: 19 (million)
% 0.20/0.48 % (4091)------------------------------
% 0.20/0.48 % (4091)------------------------------
% 0.20/0.48 % (4092)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2999ds/879Mi)
% 0.20/0.49 % (4093)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.20/0.49 % (4095)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2998ds/30Mi)
% 0.20/0.49 % (4094)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 0.20/0.50 % (4094)Instruction limit reached!
% 0.20/0.50 % (4094)------------------------------
% 0.20/0.50 % (4094)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50 % (4094)Termination reason: Unknown
% 0.20/0.50 % (4094)Termination phase: shuffling
% 0.20/0.50
% 0.20/0.50 % (4094)Memory used [KB]: 1151
% 0.20/0.50 % (4094)Time elapsed: 0.004 s
% 0.20/0.50 % (4094)Instructions burned: 4 (million)
% 0.20/0.50 % (4094)------------------------------
% 0.20/0.50 % (4094)------------------------------
% 0.20/0.50 % (4093)Instruction limit reached!
% 0.20/0.50 % (4093)------------------------------
% 0.20/0.50 % (4093)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50 % (4093)Termination reason: Unknown
% 0.20/0.50 % (4093)Termination phase: shuffling
% 0.20/0.50
% 0.20/0.50 % (4093)Memory used [KB]: 1407
% 0.20/0.50 % (4093)Time elapsed: 0.010 s
% 0.20/0.50 % (4093)Instructions burned: 18 (million)
% 0.20/0.50 % (4093)------------------------------
% 0.20/0.50 % (4093)------------------------------
% 0.20/0.50 % (4095)Instruction limit reached!
% 0.20/0.50 % (4095)------------------------------
% 0.20/0.50 % (4095)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50 % (4095)Termination reason: Unknown
% 0.20/0.50 % (4095)Termination phase: Property scanning
% 0.20/0.50
% 0.20/0.50 % (4095)Memory used [KB]: 1407
% 0.20/0.50 % (4095)Time elapsed: 0.012 s
% 0.20/0.50 % (4095)Instructions burned: 33 (million)
% 0.20/0.50 % (4095)------------------------------
% 0.20/0.50 % (4095)------------------------------
% 0.20/0.51 % (4096)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2998ds/127Mi)
% 0.20/0.51 % (4098)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 Vampire---4 for (2998ds/3Mi)
% 0.20/0.51 % (4097)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2998ds/100Mi)
% 0.20/0.51 % (4098)Instruction limit reached!
% 0.20/0.51 % (4098)------------------------------
% 0.20/0.51 % (4098)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.51 % (4098)Termination reason: Unknown
% 0.20/0.51 % (4098)Termination phase: shuffling
% 0.20/0.51
% 0.20/0.51 % (4098)Memory used [KB]: 1279
% 0.20/0.51 % (4098)Time elapsed: 0.003 s
% 0.20/0.51 % (4098)Instructions burned: 6 (million)
% 0.20/0.51 % (4098)------------------------------
% 0.20/0.51 % (4098)------------------------------
% 0.20/0.52 % (4099)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 Vampire---4 for (2998ds/20Mi)
% 0.20/0.53 % (4099)Instruction limit reached!
% 0.20/0.53 % (4099)------------------------------
% 0.20/0.53 % (4099)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53 % (4099)Termination reason: Unknown
% 0.20/0.53 % (4099)Termination phase: Property scanning
% 0.20/0.53
% 0.20/0.53 % (4099)Memory used [KB]: 1407
% 0.20/0.53 % (4099)Time elapsed: 0.007 s
% 0.20/0.53 % (4099)Instructions burned: 22 (million)
% 0.20/0.53 % (4099)------------------------------
% 0.20/0.53 % (4099)------------------------------
% 0.20/0.53 % (4100)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 Vampire---4 for (2998ds/86Mi)
% 0.20/0.54 % (4097)Instruction limit reached!
% 0.20/0.54 % (4097)------------------------------
% 0.20/0.54 % (4097)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.54 % (4097)Termination reason: Unknown
% 0.20/0.54 % (4097)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (4097)Memory used [KB]: 6140
% 0.20/0.54 % (4097)Time elapsed: 0.028 s
% 0.20/0.54 % (4097)Instructions burned: 105 (million)
% 0.20/0.54 % (4097)------------------------------
% 0.20/0.54 % (4097)------------------------------
% 0.20/0.54 % (4096)Instruction limit reached!
% 0.20/0.54 % (4096)------------------------------
% 0.20/0.54 % (4096)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.54 % (4096)Termination reason: Unknown
% 0.20/0.54 % (4096)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (4096)Memory used [KB]: 6268
% 0.20/0.54 % (4096)Time elapsed: 0.035 s
% 0.20/0.54 % (4096)Instructions burned: 130 (million)
% 0.20/0.54 % (4096)------------------------------
% 0.20/0.54 % (4096)------------------------------
% 0.20/0.54 % (4101)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 Vampire---4 for (2998ds/107Mi)
% 0.20/0.55 % (4102)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 Vampire---4 for (2998ds/39Mi)
% 0.20/0.56 % (4100)Instruction limit reached!
% 0.20/0.56 % (4100)------------------------------
% 0.20/0.56 % (4100)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.56 % (4100)Termination reason: Unknown
% 0.20/0.56 % (4100)Termination phase: Property scanning
% 0.20/0.56
% 0.20/0.56 % (4100)Memory used [KB]: 1407
% 0.20/0.56 % (4100)Time elapsed: 0.023 s
% 0.20/0.56 % (4100)Instructions burned: 86 (million)
% 0.20/0.56 % (4100)------------------------------
% 0.20/0.56 % (4100)------------------------------
% 0.20/0.56 % (4102)Instruction limit reached!
% 0.20/0.56 % (4102)------------------------------
% 0.20/0.56 % (4102)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.56 % (4102)Termination reason: Unknown
% 0.20/0.56 % (4102)Termination phase: Property scanning
% 0.20/0.56
% 0.20/0.56 % (4102)Memory used [KB]: 1407
% 0.20/0.56 % (4102)Time elapsed: 0.011 s
% 0.20/0.56 % (4102)Instructions burned: 39 (million)
% 0.20/0.56 % (4102)------------------------------
% 0.20/0.56 % (4102)------------------------------
% 0.20/0.57 % (4103)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 Vampire---4 for (2998ds/448Mi)
% 0.20/0.57 % (4104)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 Vampire---4 for (2997ds/46Mi)
% 0.20/0.57 % (4101)Instruction limit reached!
% 0.20/0.57 % (4101)------------------------------
% 0.20/0.57 % (4101)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.57 % (4101)Termination reason: Unknown
% 0.20/0.57 % (4101)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (4101)Memory used [KB]: 6140
% 0.20/0.57 % (4101)Time elapsed: 0.027 s
% 0.20/0.57 % (4101)Instructions burned: 111 (million)
% 0.20/0.57 % (4101)------------------------------
% 0.20/0.57 % (4101)------------------------------
% 0.20/0.58 % (4105)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 Vampire---4 for (2997ds/98Mi)
% 0.20/0.59 % (4089)Instruction limit reached!
% 0.20/0.59 % (4089)------------------------------
% 0.20/0.59 % (4089)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.59 % (4089)Termination reason: Unknown
% 0.20/0.59 % (4089)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (4089)Memory used [KB]: 6652
% 0.20/0.59 % (4089)Time elapsed: 0.123 s
% 0.20/0.59 % (4089)Instructions burned: 380 (million)
% 0.20/0.59 % (4089)------------------------------
% 0.20/0.59 % (4089)------------------------------
% 1.85/0.59 % (4104)Instruction limit reached!
% 1.85/0.59 % (4104)------------------------------
% 1.85/0.59 % (4104)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.85/0.59 % (4104)Termination reason: Unknown
% 1.85/0.59 % (4104)Termination phase: Saturation
% 1.85/0.59
% 1.85/0.59 % (4104)Memory used [KB]: 5884
% 1.85/0.59 % (4104)Time elapsed: 0.014 s
% 1.85/0.59 % (4104)Instructions burned: 46 (million)
% 1.85/0.59 % (4104)------------------------------
% 1.85/0.59 % (4104)------------------------------
% 1.85/0.59 % (4106)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 Vampire---4 for (2997ds/507Mi)
% 1.85/0.60 % (4107)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 Vampire---4 for (2997ds/149Mi)
% 1.85/0.60 % (4105)Instruction limit reached!
% 1.85/0.60 % (4105)------------------------------
% 1.85/0.60 % (4105)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.85/0.60 % (4105)Termination reason: Unknown
% 1.85/0.60 % (4105)Termination phase: Saturation
% 1.85/0.60
% 1.85/0.60 % (4105)Memory used [KB]: 1663
% 1.85/0.60 % (4105)Time elapsed: 0.025 s
% 1.85/0.60 % (4105)Instructions burned: 98 (million)
% 1.85/0.60 % (4105)------------------------------
% 1.85/0.60 % (4105)------------------------------
% 1.99/0.61 % (4108)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (2997ds/39Mi)
% 1.99/0.62 % (4108)Instruction limit reached!
% 1.99/0.62 % (4108)------------------------------
% 1.99/0.62 % (4108)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.99/0.62 % (4108)Termination reason: Unknown
% 1.99/0.62 % (4108)Termination phase: Function definition elimination
% 1.99/0.62
% 1.99/0.62 % (4108)Memory used [KB]: 1407
% 1.99/0.62 % (4108)Time elapsed: 0.011 s
% 1.99/0.62 % (4108)Instructions burned: 39 (million)
% 1.99/0.62 % (4108)------------------------------
% 1.99/0.62 % (4108)------------------------------
% 2.11/0.63 % (4083)Instruction limit reached!
% 2.11/0.63 % (4083)------------------------------
% 2.11/0.63 % (4083)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.11/0.63 % (4083)Termination reason: Unknown
% 2.11/0.63 % (4083)Termination phase: Saturation
% 2.11/0.63
% 2.11/0.63 % (4083)Memory used [KB]: 6396
% 2.11/0.63 % (4083)Time elapsed: 0.196 s
% 2.11/0.63 % (4083)Instructions burned: 710 (million)
% 2.11/0.63 % (4083)------------------------------
% 2.11/0.63 % (4083)------------------------------
% 2.11/0.64 % (4110)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 Vampire---4 for (2997ds/1087Mi)
% 2.11/0.64 % (4109)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 Vampire---4 for (2997ds/6Mi)
% 2.11/0.64 % (4109)Instruction limit reached!
% 2.11/0.64 % (4109)------------------------------
% 2.11/0.64 % (4109)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.11/0.64 % (4109)Termination reason: Unknown
% 2.11/0.64 % (4109)Termination phase: shuffling
% 2.11/0.64
% 2.11/0.64 % (4109)Memory used [KB]: 1151
% 2.11/0.64 % (4109)Time elapsed: 0.004 s
% 2.11/0.64 % (4109)Instructions burned: 6 (million)
% 2.11/0.64 % (4109)------------------------------
% 2.11/0.64 % (4109)------------------------------
% 2.11/0.64 % (4107)Instruction limit reached!
% 2.11/0.64 % (4107)------------------------------
% 2.11/0.64 % (4107)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.11/0.64 % (4107)Termination reason: Unknown
% 2.11/0.64 % (4107)Termination phase: Saturation
% 2.11/0.64
% 2.11/0.64 % (4107)Memory used [KB]: 6396
% 2.11/0.64 % (4107)Time elapsed: 0.041 s
% 2.11/0.64 % (4107)Instructions burned: 151 (million)
% 2.11/0.64 % (4107)------------------------------
% 2.11/0.64 % (4107)------------------------------
% 2.11/0.64 % (4090)Instruction limit reached!
% 2.11/0.64 % (4090)------------------------------
% 2.11/0.64 % (4090)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.11/0.64 % (4090)Termination reason: Unknown
% 2.11/0.64 % (4090)Termination phase: Saturation
% 2.11/0.64
% 2.11/0.64 % (4090)Memory used [KB]: 6908
% 2.11/0.64 % (4090)Time elapsed: 0.176 s
% 2.11/0.64 % (4090)Instructions burned: 782 (million)
% 2.11/0.64 % (4090)------------------------------
% 2.11/0.64 % (4090)------------------------------
% 2.11/0.65 % (4111)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on Vampire---4 for (2997ds/47Mi)
% 2.11/0.65 % (4112)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 Vampire---4 for (2997ds/44Mi)
% 2.11/0.65 % (4113)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 Vampire---4 for (2997ds/432Mi)
% 2.11/0.66 % (4112)Instruction limit reached!
% 2.11/0.66 % (4112)------------------------------
% 2.11/0.66 % (4112)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.11/0.66 % (4112)Termination reason: Unknown
% 2.11/0.66 % (4112)Termination phase: Property scanning
% 2.11/0.66
% 2.11/0.66 % (4112)Memory used [KB]: 1407
% 2.11/0.66 % (4112)Time elapsed: 0.013 s
% 2.11/0.66 % (4112)Instructions burned: 44 (million)
% 2.11/0.66 % (4112)------------------------------
% 2.11/0.66 % (4112)------------------------------
% 2.11/0.66 % (4111)Instruction limit reached!
% 2.11/0.66 % (4111)------------------------------
% 2.11/0.66 % (4111)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.11/0.66 % (4111)Termination reason: Unknown
% 2.11/0.66 % (4111)Termination phase: Property scanning
% 2.11/0.66
% 2.11/0.66 % (4111)Memory used [KB]: 1407
% 2.11/0.66 % (4111)Time elapsed: 0.014 s
% 2.11/0.66 % (4111)Instructions burned: 47 (million)
% 2.11/0.66 % (4111)------------------------------
% 2.11/0.66 % (4111)------------------------------
% 2.11/0.66 % (4103)Instruction limit reached!
% 2.11/0.66 % (4103)------------------------------
% 2.11/0.66 % (4103)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.11/0.66 % (4103)Termination reason: Unknown
% 2.11/0.66 % (4103)Termination phase: Saturation
% 2.11/0.66
% 2.11/0.66 % (4103)Memory used [KB]: 6652
% 2.11/0.66 % (4103)Time elapsed: 0.098 s
% 2.11/0.66 % (4103)Instructions burned: 452 (million)
% 2.11/0.66 % (4103)------------------------------
% 2.11/0.66 % (4103)------------------------------
% 2.11/0.67 % (4114)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on Vampire---4 for (2996ds/62Mi)
% 2.11/0.67 % (4116)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (2996ds/96Mi)
% 2.11/0.67 % (4115)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 Vampire---4 for (2996ds/31Mi)
% 2.11/0.68 % (4092)Instruction limit reached!
% 2.11/0.68 % (4092)------------------------------
% 2.11/0.68 % (4092)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.11/0.68 % (4092)Termination reason: Unknown
% 2.11/0.68 % (4092)Termination phase: Saturation
% 2.11/0.68
% 2.11/0.68 % (4092)Memory used [KB]: 7675
% 2.11/0.68 % (4092)Time elapsed: 0.198 s
% 2.11/0.68 % (4074)Instruction limit reached!
% 2.11/0.68 % (4074)------------------------------
% 2.11/0.68 % (4074)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.11/0.68 % (4092)Instructions burned: 880 (million)
% 2.11/0.68 % (4092)------------------------------
% 2.11/0.68 % (4092)------------------------------
% 2.11/0.68 % (4074)Termination reason: Unknown
% 2.11/0.68 % (4074)Termination phase: Saturation
% 2.11/0.68
% 2.11/0.68 % (4074)Memory used [KB]: 7675
% 2.11/0.68 % (4074)Time elapsed: 0.279 s
% 2.11/0.68 % (4074)Instructions burned: 1044 (million)
% 2.11/0.68 % (4074)------------------------------
% 2.11/0.68 % (4074)------------------------------
% 2.11/0.68 % (4115)Instruction limit reached!
% 2.11/0.68 % (4115)------------------------------
% 2.11/0.68 % (4115)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.11/0.68 % (4115)Termination reason: Unknown
% 2.11/0.68 % (4115)Termination phase: Property scanning
% 2.11/0.68
% 2.11/0.68 % (4115)Memory used [KB]: 1407
% 2.11/0.68 % (4115)Time elapsed: 0.009 s
% 2.11/0.68 % (4115)Instructions burned: 31 (million)
% 2.11/0.68 % (4115)------------------------------
% 2.11/0.68 % (4115)------------------------------
% 2.11/0.68 % (4114)Instruction limit reached!
% 2.11/0.68 % (4114)------------------------------
% 2.11/0.68 % (4114)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.11/0.68 % (4114)Termination reason: Unknown
% 2.11/0.68 % (4114)Termination phase: Property scanning
% 2.11/0.68
% 2.11/0.68 % (4114)Memory used [KB]: 1407
% 2.11/0.68 % (4114)Time elapsed: 0.017 s
% 2.11/0.68 % (4114)Instructions burned: 66 (million)
% 2.11/0.68 % (4114)------------------------------
% 2.11/0.68 % (4114)------------------------------
% 2.11/0.69 % (4118)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (2996ds/71Mi)
% 2.11/0.69 % (4119)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on Vampire---4 for (2996ds/83Mi)
% 2.11/0.69 % (4117)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 Vampire---4 for (2996ds/453Mi)
% 2.11/0.69 % (4120)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on Vampire---4 for (2996ds/11Mi)
% 2.11/0.70 % (4120)Instruction limit reached!
% 2.11/0.70 % (4120)------------------------------
% 2.11/0.70 % (4120)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.11/0.70 % (4120)Termination reason: Unknown
% 2.11/0.70 % (4116)Instruction limit reached!
% 2.11/0.70 % (4116)------------------------------
% 2.11/0.70 % (4116)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.11/0.70 % (4116)Termination reason: Unknown
% 2.11/0.70 % (4116)Termination phase: Saturation
% 2.11/0.70
% 2.11/0.70 % (4116)Memory used [KB]: 6140
% 2.11/0.70 % (4116)Time elapsed: 0.025 s
% 2.11/0.70 % (4116)Instructions burned: 96 (million)
% 2.11/0.70 % (4116)------------------------------
% 2.11/0.70 % (4116)------------------------------
% 2.11/0.70 % (4120)Termination phase: shuffling
% 2.11/0.70
% 2.11/0.70 % (4120)Memory used [KB]: 1407
% 2.11/0.70 % (4120)Time elapsed: 0.005 s
% 2.11/0.70 % (4120)Instructions burned: 14 (million)
% 2.11/0.70 % (4120)------------------------------
% 2.11/0.70 % (4120)------------------------------
% 2.11/0.70 % (4118)Instruction limit reached!
% 2.11/0.70 % (4118)------------------------------
% 2.11/0.70 % (4118)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.11/0.70 % (4118)Termination reason: Unknown
% 2.11/0.70 % (4118)Termination phase: Property scanning
% 2.11/0.70
% 2.11/0.70 % (4121)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 Vampire---4 for (2996ds/41Mi)
% 2.11/0.70 % (4118)Memory used [KB]: 1407
% 2.11/0.70 % (4118)Time elapsed: 0.019 s
% 2.11/0.70 % (4118)Instructions burned: 74 (million)
% 2.11/0.70 % (4118)------------------------------
% 2.11/0.70 % (4118)------------------------------
% 2.11/0.70 % (4122)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2996ds/6Mi)
% 2.11/0.71 % (4122)Instruction limit reached!
% 2.11/0.71 % (4122)------------------------------
% 2.11/0.71 % (4122)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.11/0.71 % (4122)Termination reason: Unknown
% 2.11/0.71 % (4122)Termination phase: shuffling
% 2.11/0.71
% 2.11/0.71 % (4122)Memory used [KB]: 1279
% 2.11/0.71 % (4122)Time elapsed: 0.003 s
% 2.11/0.71 % (4122)Instructions burned: 7 (million)
% 2.11/0.71 % (4122)------------------------------
% 2.11/0.71 % (4122)------------------------------
% 2.11/0.71 % (4123)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on Vampire---4 for (2996ds/150Mi)
% 2.11/0.71 % (4121)Instruction limit reached!
% 2.11/0.71 % (4121)------------------------------
% 2.11/0.71 % (4121)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.11/0.71 % (4121)Termination reason: Unknown
% 2.11/0.71 % (4121)Termination phase: Property scanning
% 2.11/0.71
% 2.11/0.71 % (4121)Memory used [KB]: 1407
% 2.11/0.71 % (4121)Time elapsed: 0.011 s
% 2.11/0.71 % (4121)Instructions burned: 41 (million)
% 2.11/0.71 % (4121)------------------------------
% 2.11/0.71 % (4121)------------------------------
% 2.11/0.71 % (4124)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on Vampire---4 for (2996ds/343Mi)
% 2.56/0.72 % (4106)Instruction limit reached!
% 2.56/0.72 % (4106)------------------------------
% 2.56/0.72 % (4106)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.56/0.72 % (4106)Termination reason: Unknown
% 2.56/0.72 % (4106)Termination phase: Saturation
% 2.56/0.72
% 2.56/0.72 % (4106)Memory used [KB]: 7547
% 2.56/0.72 % (4106)Time elapsed: 0.127 s
% 2.56/0.72 % (4106)Instructions burned: 508 (million)
% 2.56/0.72 % (4106)------------------------------
% 2.56/0.72 % (4106)------------------------------
% 2.56/0.72 % (4119)Instruction limit reached!
% 2.56/0.72 % (4119)------------------------------
% 2.56/0.72 % (4119)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.56/0.72 % (4119)Termination reason: Unknown
% 2.56/0.72 % (4119)Termination phase: Saturation
% 2.56/0.72
% 2.56/0.72 % (4119)Memory used [KB]: 6140
% 2.56/0.72 % (4119)Time elapsed: 0.034 s
% 2.56/0.72 % (4119)Instructions burned: 83 (million)
% 2.56/0.72 % (4119)------------------------------
% 2.56/0.72 % (4119)------------------------------
% 2.56/0.72 % (4125)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 Vampire---4 for (2996ds/109Mi)
% 2.56/0.73 % (4126)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 Vampire---4 for (2996ds/253Mi)
% 2.56/0.73 % (4127)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on Vampire---4 for (2996ds/140Mi)
% 2.56/0.74 % (4124)Refutation not found, incomplete strategy
% 2.56/0.74 % (4124)------------------------------
% 2.56/0.74 % (4124)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.56/0.74 % (4124)Termination reason: Refutation not found, incomplete strategy
% 2.56/0.74
% 2.56/0.74
% 2.56/0.74 % (4124)Memory used [KB]: 6140
% 2.56/0.74 % (4124)Time elapsed: 0.024 s
% 2.56/0.74 % (4124)Instructions burned: 88 (million)
% 2.56/0.74 % (4124)------------------------------
% 2.56/0.74 % (4124)------------------------------
% 2.56/0.74 % (4113)Instruction limit reached!
% 2.56/0.74 % (4113)------------------------------
% 2.56/0.74 % (4113)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.56/0.74 % (4113)Termination reason: Unknown
% 2.56/0.74 % (4113)Termination phase: Saturation
% 2.56/0.74
% 2.56/0.74 % (4113)Memory used [KB]: 2942
% 2.56/0.74 % (4113)Time elapsed: 0.098 s
% 2.56/0.74 % (4113)Instructions burned: 432 (million)
% 2.56/0.74 % (4113)------------------------------
% 2.56/0.74 % (4113)------------------------------
% 2.56/0.75 % (4123)Instruction limit reached!
% 2.56/0.75 % (4123)------------------------------
% 2.56/0.75 % (4123)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.56/0.75 % (4123)Termination reason: Unknown
% 2.56/0.75 % (4123)Termination phase: Saturation
% 2.56/0.75
% 2.56/0.75 % (4123)Memory used [KB]: 6268
% 2.56/0.75 % (4128)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 Vampire---4 for (2996ds/614Mi)
% 2.56/0.75 % (4123)Time elapsed: 0.035 s
% 2.56/0.75 % (4123)Instructions burned: 152 (million)
% 2.56/0.75 % (4123)------------------------------
% 2.56/0.75 % (4123)------------------------------
% 2.56/0.75 % (4125)Instruction limit reached!
% 2.56/0.75 % (4125)------------------------------
% 2.56/0.75 % (4125)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.56/0.75 % (4125)Termination reason: Unknown
% 2.56/0.75 % (4125)Termination phase: Saturation
% 2.56/0.75
% 2.56/0.75 % (4125)Memory used [KB]: 6140
% 2.56/0.75 % (4125)Time elapsed: 0.028 s
% 2.56/0.75 % (4125)Instructions burned: 109 (million)
% 2.56/0.75 % (4125)------------------------------
% 2.56/0.75 % (4125)------------------------------
% 2.56/0.75 % (4126)Refutation not found, incomplete strategy
% 2.56/0.75 % (4126)------------------------------
% 2.56/0.75 % (4126)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.56/0.75 % (4126)Termination reason: Refutation not found, incomplete strategy
% 2.56/0.75
% 2.56/0.75
% 2.56/0.75 % (4126)Memory used [KB]: 6140
% 2.56/0.75 % (4126)Time elapsed: 0.023 s
% 2.56/0.75 % (4126)Instructions burned: 87 (million)
% 2.56/0.75 % (4126)------------------------------
% 2.56/0.75 % (4126)------------------------------
% 2.56/0.75 % (4130)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 Vampire---4 for (2996ds/339Mi)
% 2.56/0.76 % (4129)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 Vampire---4 for (2996ds/202Mi)
% 2.56/0.76 % (4131)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 Vampire---4 for (2996ds/283Mi)
% 2.56/0.76 % (4132)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on Vampire---4 for (2996ds/134Mi)
% 2.56/0.77 % (4127)Instruction limit reached!
% 2.56/0.77 % (4127)------------------------------
% 2.56/0.77 % (4127)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.56/0.77 % (4127)Termination reason: Unknown
% 2.56/0.77 % (4127)Termination phase: Saturation
% 2.56/0.77
% 2.56/0.77 % (4127)Memory used [KB]: 6652
% 2.56/0.77 % (4127)Time elapsed: 0.040 s
% 2.56/0.77 % (4127)Instructions burned: 141 (million)
% 2.56/0.77 % (4127)------------------------------
% 2.56/0.77 % (4127)------------------------------
% 2.56/0.77 % (4129)Refutation not found, incomplete strategy
% 2.56/0.77 % (4129)------------------------------
% 2.56/0.77 % (4129)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.56/0.77 % (4129)Termination reason: Refutation not found, incomplete strategy
% 2.56/0.77
% 2.56/0.77
% 2.56/0.77 % (4129)Memory used [KB]: 5884
% 2.56/0.77 % (4129)Time elapsed: 0.019 s
% 2.56/0.77 % (4129)Instructions burned: 49 (million)
% 2.56/0.77 % (4129)------------------------------
% 2.56/0.77 % (4129)------------------------------
% 2.56/0.78 % (4133)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on Vampire---4 for (2995ds/298Mi)
% 2.56/0.78 % (4134)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on Vampire---4 for (2995ds/192Mi)
% 3.06/0.79 % (4117)Instruction limit reached!
% 3.06/0.79 % (4117)------------------------------
% 3.06/0.79 % (4117)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.06/0.79 % (4117)Termination reason: Unknown
% 3.06/0.79 % (4117)Termination phase: Saturation
% 3.06/0.79
% 3.06/0.79 % (4117)Memory used [KB]: 7419
% 3.06/0.79 % (4117)Time elapsed: 0.100 s
% 3.06/0.79 % (4117)Instructions burned: 457 (million)
% 3.06/0.79 % (4117)------------------------------
% 3.06/0.79 % (4117)------------------------------
% 3.06/0.79 % (4132)Instruction limit reached!
% 3.06/0.79 % (4132)------------------------------
% 3.06/0.79 % (4132)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.06/0.79 % (4132)Termination reason: Unknown
% 3.06/0.79 % (4132)Termination phase: Saturation
% 3.06/0.79
% 3.06/0.79 % (4132)Memory used [KB]: 6268
% 3.06/0.79 % (4132)Time elapsed: 0.036 s
% 3.06/0.79 % (4132)Instructions burned: 134 (million)
% 3.06/0.79 % (4132)------------------------------
% 3.06/0.79 % (4132)------------------------------
% 3.06/0.80 % (4135)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 Vampire---4 for (2995ds/258Mi)
% 3.06/0.80 % (4136)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 Vampire---4 for (2995ds/90Mi)
% 3.06/0.83 % (4131)Instruction limit reached!
% 3.06/0.83 % (4131)------------------------------
% 3.06/0.83 % (4131)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.06/0.83 % (4131)Termination reason: Unknown
% 3.06/0.83 % (4131)Termination phase: Saturation
% 3.06/0.83
% 3.06/0.83 % (4131)Memory used [KB]: 6652
% 3.06/0.83 % (4131)Time elapsed: 0.078 s
% 3.06/0.83 % (4131)Instructions burned: 284 (million)
% 3.06/0.83 % (4131)------------------------------
% 3.06/0.83 % (4131)------------------------------
% 3.06/0.84 % (4136)Instruction limit reached!
% 3.06/0.84 % (4136)------------------------------
% 3.06/0.84 % (4136)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.06/0.84 % (4136)Termination reason: Unknown
% 3.06/0.84 % (4136)Termination phase: Saturation
% 3.06/0.84
% 3.06/0.84 % (4136)Memory used [KB]: 6140
% 3.06/0.84 % (4136)Time elapsed: 0.041 s
% 3.06/0.84 % (4136)Instructions burned: 91 (million)
% 3.06/0.84 % (4136)------------------------------
% 3.06/0.84 % (4136)------------------------------
% 3.06/0.85 % (4151)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 Vampire---4 for (2995ds/231Mi)
% 3.06/0.85 % (4134)Instruction limit reached!
% 3.06/0.85 % (4134)------------------------------
% 3.06/0.85 % (4134)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.06/0.85 % (4134)Termination reason: Unknown
% 3.06/0.85 % (4134)Termination phase: Saturation
% 3.06/0.85
% 3.06/0.85 % (4134)Memory used [KB]: 6652
% 3.06/0.85 % (4134)Time elapsed: 0.068 s
% 3.06/0.85 % (4134)Instructions burned: 195 (million)
% 3.06/0.85 % (4134)------------------------------
% 3.06/0.85 % (4134)------------------------------
% 3.06/0.86 % (4155)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 Vampire---4 for (2995ds/458Mi)
% 3.06/0.86 % (4157)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 Vampire---4 for (2995ds/31Mi)
% 3.42/0.87 % (4133)Instruction limit reached!
% 3.42/0.87 % (4133)------------------------------
% 3.42/0.87 % (4133)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.42/0.87 % (4133)Termination reason: Unknown
% 3.42/0.87 % (4133)Termination phase: Saturation
% 3.42/0.87
% 3.42/0.87 % (4133)Memory used [KB]: 6652
% 3.42/0.87 % (4133)Time elapsed: 0.090 s
% 3.42/0.87 % (4133)Instructions burned: 298 (million)
% 3.42/0.87 % (4133)------------------------------
% 3.42/0.87 % (4133)------------------------------
% 3.51/0.88 % (4157)Instruction limit reached!
% 3.51/0.88 % (4157)------------------------------
% 3.51/0.88 % (4157)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.51/0.88 % (4157)Termination reason: Unknown
% 3.51/0.88 % (4157)Termination phase: Property scanning
% 3.51/0.88
% 3.51/0.88 % (4157)Memory used [KB]: 1407
% 3.51/0.88 % (4157)Time elapsed: 0.015 s
% 3.51/0.88 % (4157)Instructions burned: 32 (million)
% 3.51/0.88 % (4157)------------------------------
% 3.51/0.88 % (4157)------------------------------
% 3.51/0.88 % (4164)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 Vampire---4 for (2995ds/297Mi)
% 3.51/0.89 % (4110)Instruction limit reached!
% 3.51/0.89 % (4110)------------------------------
% 3.51/0.89 % (4110)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.51/0.89 % (4110)Termination reason: Unknown
% 3.51/0.89 % (4110)Termination phase: Saturation
% 3.51/0.89
% 3.51/0.89 % (4110)Memory used [KB]: 7931
% 3.51/0.89 % (4110)Time elapsed: 0.254 s
% 3.51/0.89 % (4110)Instructions burned: 1088 (million)
% 3.51/0.89 % (4110)------------------------------
% 3.51/0.89 % (4110)------------------------------
% 3.51/0.89 % (4130)Instruction limit reached!
% 3.51/0.89 % (4130)------------------------------
% 3.51/0.89 % (4130)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.51/0.89 % (4130)Termination reason: Unknown
% 3.51/0.89 % (4167)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 Vampire---4 for (2994ds/987Mi)
% 3.51/0.89 % (4130)Termination phase: Saturation
% 3.51/0.89
% 3.51/0.89 % (4130)Memory used [KB]: 7036
% 3.51/0.89 % (4130)Time elapsed: 0.137 s
% 3.51/0.89 % (4130)Instructions burned: 340 (million)
% 3.51/0.89 % (4130)------------------------------
% 3.51/0.89 % (4130)------------------------------
% 3.51/0.89 % (4135)Instruction limit reached!
% 3.51/0.89 % (4135)------------------------------
% 3.51/0.89 % (4135)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.51/0.89 % (4135)Termination reason: Unknown
% 3.51/0.89 % (4135)Termination phase: Saturation
% 3.51/0.89
% 3.51/0.89 % (4135)Memory used [KB]: 6780
% 3.51/0.89 % (4135)Time elapsed: 0.095 s
% 3.51/0.89 % (4135)Instructions burned: 261 (million)
% 3.51/0.89 % (4135)------------------------------
% 3.51/0.89 % (4135)------------------------------
% 3.51/0.90 % (4171)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 Vampire---4 for (2994ds/182Mi)
% 3.51/0.90 % (4173)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 Vampire---4 for (2994ds/182Mi)
% 4.05/0.91 % (4176)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 Vampire---4 for (2994ds/154Mi)
% 4.05/0.93 % (4128)Instruction limit reached!
% 4.05/0.93 % (4128)------------------------------
% 4.05/0.93 % (4128)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.05/0.93 % (4128)Termination reason: Unknown
% 4.05/0.93 % (4128)Termination phase: Saturation
% 4.05/0.93
% 4.05/0.93 % (4128)Memory used [KB]: 7803
% 4.05/0.93 % (4128)Time elapsed: 0.187 s
% 4.05/0.93 % (4128)Instructions burned: 619 (million)
% 4.05/0.93 % (4128)------------------------------
% 4.05/0.93 % (4128)------------------------------
% 4.05/0.94 % (4151)Instruction limit reached!
% 4.05/0.94 % (4151)------------------------------
% 4.05/0.94 % (4151)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.05/0.94 % (4151)Termination reason: Unknown
% 4.05/0.94 % (4151)Termination phase: Saturation
% 4.05/0.94
% 4.05/0.94 % (4151)Memory used [KB]: 7036
% 4.05/0.94 % (4151)Time elapsed: 0.091 s
% 4.05/0.94 % (4151)Instructions burned: 231 (million)
% 4.05/0.94 % (4151)------------------------------
% 4.05/0.94 % (4151)------------------------------
% 4.05/0.94 % (4182)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 Vampire---4 for (2994ds/79Mi)
% 4.05/0.95 % (4183)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 Vampire---4 for (2994ds/216Mi)
% 4.05/0.95 % (4176)Instruction limit reached!
% 4.05/0.95 % (4176)------------------------------
% 4.05/0.95 % (4176)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.05/0.95 % (4176)Termination reason: Unknown
% 4.05/0.95 % (4176)Termination phase: Saturation
% 4.05/0.95
% 4.05/0.95 % (4176)Memory used [KB]: 2174
% 4.05/0.95 % (4176)Time elapsed: 0.047 s
% 4.05/0.95 % (4176)Instructions burned: 157 (million)
% 4.05/0.95 % (4176)------------------------------
% 4.05/0.95 % (4176)------------------------------
% 4.05/0.95 % (4171)Instruction limit reached!
% 4.05/0.95 % (4171)------------------------------
% 4.05/0.95 % (4171)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.05/0.95 % (4171)Termination reason: Unknown
% 4.05/0.95 % (4171)Termination phase: Saturation
% 4.05/0.95
% 4.05/0.95 % (4171)Memory used [KB]: 6652
% 4.05/0.95 % (4171)Time elapsed: 0.052 s
% 4.05/0.95 % (4171)Instructions burned: 183 (million)
% 4.05/0.95 % (4171)------------------------------
% 4.05/0.95 % (4171)------------------------------
% 4.05/0.96 % (4184)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on Vampire---4 for (2994ds/114Mi)
% 4.05/0.96 % (4182)Instruction limit reached!
% 4.05/0.96 % (4182)------------------------------
% 4.05/0.96 % (4182)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.05/0.96 % (4182)Termination reason: Unknown
% 4.05/0.96 % (4182)Termination phase: Property scanning
% 4.05/0.96
% 4.05/0.96 % (4182)Memory used [KB]: 1407
% 4.05/0.96 % (4182)Time elapsed: 0.020 s
% 4.05/0.96 % (4182)Instructions burned: 83 (million)
% 4.05/0.96 % (4182)------------------------------
% 4.05/0.96 % (4182)------------------------------
% 4.05/0.96 % (4185)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on Vampire---4 for (2994ds/922Mi)
% 4.05/0.96 % (4164)Instruction limit reached!
% 4.05/0.96 % (4164)------------------------------
% 4.05/0.96 % (4164)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.05/0.96 % (4164)Termination reason: Unknown
% 4.05/0.96 % (4164)Termination phase: Saturation
% 4.05/0.96
% 4.05/0.96 % (4164)Memory used [KB]: 6652
% 4.05/0.96 % (4164)Time elapsed: 0.083 s
% 4.05/0.96 % (4164)Instructions burned: 297 (million)
% 4.05/0.96 % (4164)------------------------------
% 4.05/0.96 % (4164)------------------------------
% 4.05/0.96 % (4173)Instruction limit reached!
% 4.05/0.96 % (4173)------------------------------
% 4.05/0.96 % (4173)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.05/0.96 % (4173)Termination reason: Unknown
% 4.05/0.96 % (4173)Termination phase: Saturation
% 4.05/0.96
% 4.05/0.96 % (4173)Memory used [KB]: 6396
% 4.05/0.96 % (4173)Time elapsed: 0.062 s
% 4.05/0.96 % (4173)Instructions burned: 184 (million)
% 4.05/0.96 % (4173)------------------------------
% 4.05/0.96 % (4173)------------------------------
% 4.05/0.97 % (4186)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 Vampire---4 for (2993ds/182Mi)
% 4.05/0.97 % (4187)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 Vampire---4 for (2993ds/164Mi)
% 4.05/0.97 % (4188)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 Vampire---4 for (2993ds/50Mi)
% 4.05/0.98 % (4155)Instruction limit reached!
% 4.05/0.98 % (4155)------------------------------
% 4.05/0.98 % (4155)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.05/0.98 % (4155)Termination reason: Unknown
% 4.05/0.98 % (4155)Termination phase: Saturation
% 4.05/0.98
% 4.05/0.98 % (4155)Memory used [KB]: 6908
% 4.05/0.98 % (4155)Time elapsed: 0.119 s
% 4.05/0.98 % (4155)Instructions burned: 458 (million)
% 4.05/0.98 % (4155)------------------------------
% 4.05/0.98 % (4155)------------------------------
% 4.05/0.98 % (4189)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on Vampire---4 for (2993ds/368Mi)
% 4.05/0.98 % (4188)Instruction limit reached!
% 4.05/0.98 % (4188)------------------------------
% 4.05/0.98 % (4188)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.05/0.98 % (4188)Termination reason: Unknown
% 4.05/0.98 % (4188)Termination phase: Property scanning
% 4.05/0.98
% 4.05/0.98 % (4188)Memory used [KB]: 1407
% 4.05/0.98 % (4188)Time elapsed: 0.013 s
% 4.05/0.98 % (4188)Instructions burned: 52 (million)
% 4.05/0.98 % (4188)------------------------------
% 4.05/0.98 % (4188)------------------------------
% 4.05/0.98 % (4184)Instruction limit reached!
% 4.05/0.98 % (4184)------------------------------
% 4.05/0.98 % (4184)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.05/0.98 % (4184)Termination reason: Unknown
% 4.05/0.98 % (4184)Termination phase: Saturation
% 4.05/0.98
% 4.05/0.98 % (4184)Memory used [KB]: 6140
% 4.05/0.98 % (4184)Time elapsed: 0.027 s
% 4.05/0.98 % (4184)Instructions burned: 114 (million)
% 4.05/0.98 % (4184)------------------------------
% 4.05/0.98 % (4184)------------------------------
% 4.05/0.99 % (4183)Instruction limit reached!
% 4.05/0.99 % (4183)------------------------------
% 4.05/0.99 % (4183)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.05/0.99 % (4183)Termination reason: Unknown
% 4.05/0.99 % (4183)Termination phase: Saturation
% 4.05/0.99
% 4.05/0.99 % (4183)Memory used [KB]: 6524
% 4.05/0.99 % (4183)Time elapsed: 0.046 s
% 4.05/0.99 % (4183)Instructions burned: 219 (million)
% 4.05/0.99 % (4183)------------------------------
% 4.05/0.99 % (4183)------------------------------
% 4.05/0.99 % (4190)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 Vampire---4 for (2993ds/1021Mi)
% 4.05/0.99 % (4191)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 Vampire---4 for (2993ds/267Mi)
% 4.05/0.99 % (4187)Refutation not found, incomplete strategy
% 4.05/0.99 % (4187)------------------------------
% 4.05/0.99 % (4187)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.05/0.99 % (4187)Termination reason: Refutation not found, incomplete strategy
% 4.05/0.99
% 4.05/0.99
% 4.05/0.99 % (4187)Memory used [KB]: 1663
% 4.05/0.99 % (4187)Time elapsed: 0.025 s
% 4.05/0.99 % (4187)Instructions burned: 99 (million)
% 4.05/0.99 % (4187)------------------------------
% 4.05/0.99 % (4187)------------------------------
% 4.05/1.00 % (4192)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 Vampire---4 for (2993ds/204Mi)
% 4.05/1.00 % (4194)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 Vampire---4 for (2993ds/26Mi)
% 4.05/1.00 % (4186)Instruction limit reached!
% 4.05/1.00 % (4186)------------------------------
% 4.05/1.00 % (4186)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.05/1.00 % (4186)Termination reason: Unknown
% 4.05/1.00 % (4186)Termination phase: Saturation
% 4.05/1.00
% 4.05/1.00 % (4186)Memory used [KB]: 6524
% 4.05/1.00 % (4186)Time elapsed: 0.039 s
% 4.05/1.00 % (4186)Instructions burned: 184 (million)
% 4.05/1.00 % (4186)------------------------------
% 4.05/1.00 % (4186)------------------------------
% 4.05/1.01 % (4194)Instruction limit reached!
% 4.05/1.01 % (4194)------------------------------
% 4.05/1.01 % (4194)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.05/1.01 % (4194)Termination reason: Unknown
% 4.05/1.01 % (4194)Termination phase: Property scanning
% 4.05/1.01
% 4.05/1.01 % (4194)Memory used [KB]: 1407
% 4.05/1.01 % (4194)Time elapsed: 0.008 s
% 4.05/1.01 % (4194)Instructions burned: 27 (million)
% 4.05/1.01 % (4194)------------------------------
% 4.05/1.01 % (4194)------------------------------
% 4.05/1.01 % (4199)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 Vampire---4 for (2993ds/53Mi)
% 4.98/1.02 % (4202)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 Vampire---4 for (2993ds/4436Mi)
% 4.98/1.02 % (4199)Instruction limit reached!
% 4.98/1.02 % (4199)------------------------------
% 4.98/1.02 % (4199)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.98/1.02 % (4199)Termination reason: Unknown
% 4.98/1.02 % (4199)Termination phase: Property scanning
% 4.98/1.02
% 4.98/1.02 % (4199)Memory used [KB]: 1407
% 4.98/1.02 % (4199)Time elapsed: 0.014 s
% 4.98/1.02 % (4199)Instructions burned: 57 (million)
% 4.98/1.02 % (4199)------------------------------
% 4.98/1.02 % (4199)------------------------------
% 4.98/1.03 % (4211)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on Vampire---4 for (2993ds/1539Mi)
% 4.98/1.05 % (4192)Instruction limit reached!
% 4.98/1.05 % (4192)------------------------------
% 4.98/1.05 % (4192)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.98/1.05 % (4192)Termination reason: Unknown
% 4.98/1.05 % (4192)Termination phase: Saturation
% 4.98/1.05
% 4.98/1.05 % (4192)Memory used [KB]: 6652
% 4.98/1.05 % (4192)Time elapsed: 0.049 s
% 4.98/1.05 % (4192)Instructions burned: 205 (million)
% 4.98/1.05 % (4192)------------------------------
% 4.98/1.05 % (4192)------------------------------
% 4.98/1.05 % (4191)Instruction limit reached!
% 4.98/1.05 % (4191)------------------------------
% 4.98/1.05 % (4191)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.98/1.05 % (4191)Termination reason: Unknown
% 4.98/1.05 % (4191)Termination phase: Saturation
% 4.98/1.05
% 4.98/1.05 % (4191)Memory used [KB]: 6780
% 4.98/1.05 % (4191)Time elapsed: 0.057 s
% 4.98/1.05 % (4191)Instructions burned: 270 (million)
% 4.98/1.05 % (4191)------------------------------
% 4.98/1.05 % (4191)------------------------------
% 4.98/1.05 % (4221)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 Vampire---4 for (2993ds/408Mi)
% 4.98/1.05 % (4223)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 Vampire---4 for (2993ds/5205Mi)
% 4.98/1.06 % (4189)Instruction limit reached!
% 4.98/1.06 % (4189)------------------------------
% 4.98/1.06 % (4189)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.98/1.06 % (4189)Termination reason: Unknown
% 4.98/1.06 % (4189)Termination phase: Saturation
% 4.98/1.06
% 4.98/1.06 % (4189)Memory used [KB]: 7036
% 4.98/1.06 % (4189)Time elapsed: 0.081 s
% 4.98/1.06 % (4189)Instructions burned: 370 (million)
% 4.98/1.06 % (4189)------------------------------
% 4.98/1.06 % (4189)------------------------------
% 4.98/1.07 % (4233)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 Vampire---4 for (2992ds/1913Mi)
% 4.98/1.09 % (4167)Instruction limit reached!
% 4.98/1.09 % (4167)------------------------------
% 4.98/1.09 % (4167)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.98/1.09 % (4167)Termination reason: Unknown
% 4.98/1.09 % (4167)Termination phase: Saturation
% 4.98/1.09
% 4.98/1.09 % (4167)Memory used [KB]: 7419
% 4.98/1.09 % (4167)Time elapsed: 0.197 s
% 4.98/1.09 % (4167)Instructions burned: 989 (million)
% 4.98/1.09 % (4167)------------------------------
% 4.98/1.09 % (4167)------------------------------
% 5.42/1.09 % (4243)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 Vampire---4 for (2992ds/4350Mi)
% 5.42/1.13 % (4185)Instruction limit reached!
% 5.42/1.13 % (4185)------------------------------
% 5.42/1.13 % (4185)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.42/1.13 % (4185)Termination reason: Unknown
% 5.42/1.13 % (4185)Termination phase: Saturation
% 5.42/1.13
% 5.42/1.13 % (4185)Memory used [KB]: 6780
% 5.42/1.13 % (4185)Time elapsed: 0.173 s
% 5.42/1.13 % (4185)Instructions burned: 925 (million)
% 5.42/1.13 % (4185)------------------------------
% 5.42/1.13 % (4185)------------------------------
% 5.42/1.14 % (4261)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 Vampire---4 for (2992ds/68Mi)
% 5.42/1.15 % (4221)Instruction limit reached!
% 5.42/1.15 % (4221)------------------------------
% 5.42/1.15 % (4221)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.42/1.15 % (4221)Termination reason: Unknown
% 5.42/1.15 % (4221)Termination phase: Saturation
% 5.42/1.15
% 5.42/1.15 % (4221)Memory used [KB]: 6012
% 5.42/1.15 % (4221)Time elapsed: 0.099 s
% 5.42/1.15 % (4221)Instructions burned: 411 (million)
% 5.42/1.15 % (4221)------------------------------
% 5.42/1.15 % (4221)------------------------------
% 5.42/1.15 % (4261)Instruction limit reached!
% 5.42/1.15 % (4261)------------------------------
% 5.42/1.15 % (4261)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.42/1.15 % (4261)Termination reason: Unknown
% 5.42/1.15 % (4261)Termination phase: Property scanning
% 5.42/1.16
% 5.42/1.16 % (4261)Memory used [KB]: 1407
% 5.42/1.16 % (4261)Time elapsed: 0.017 s
% 5.42/1.16 % (4261)Instructions burned: 69 (million)
% 5.42/1.16 % (4261)------------------------------
% 5.42/1.16 % (4261)------------------------------
% 5.42/1.16 % (4278)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 Vampire---4 for (2992ds/358Mi)
% 5.42/1.16 % (4280)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 Vampire---4 for (2992ds/31Mi)
% 5.42/1.17 % (4280)Instruction limit reached!
% 5.42/1.17 % (4280)------------------------------
% 5.42/1.17 % (4280)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.42/1.17 % (4280)Termination reason: Unknown
% 5.42/1.17 % (4280)Termination phase: Property scanning
% 5.42/1.17
% 5.42/1.17 % (4280)Memory used [KB]: 1407
% 5.42/1.17 % (4280)Time elapsed: 0.009 s
% 5.42/1.17 % (4280)Instructions burned: 32 (million)
% 5.42/1.17 % (4280)------------------------------
% 5.42/1.17 % (4280)------------------------------
% 6.53/1.18 % (4190)Instruction limit reached!
% 6.53/1.18 % (4190)------------------------------
% 6.53/1.18 % (4190)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.53/1.18 % (4190)Termination reason: Unknown
% 6.53/1.18 % (4190)Termination phase: Saturation
% 6.53/1.18
% 6.53/1.18 % (4190)Memory used [KB]: 7675
% 6.53/1.18 % (4190)Time elapsed: 0.195 s
% 6.53/1.18 % (4190)Instructions burned: 1024 (million)
% 6.53/1.18 % (4190)------------------------------
% 6.53/1.18 % (4190)------------------------------
% 6.53/1.19 % (4278)Refutation not found, incomplete strategy
% 6.53/1.19 % (4278)------------------------------
% 6.53/1.19 % (4278)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.53/1.19 % (4278)Termination reason: Refutation not found, incomplete strategy
% 6.53/1.19
% 6.53/1.19
% 6.53/1.19 % (4278)Memory used [KB]: 6140
% 6.53/1.19 % (4278)Time elapsed: 0.027 s
% 6.53/1.19 % (4278)Instructions burned: 104 (million)
% 6.53/1.19 % (4278)------------------------------
% 6.53/1.19 % (4278)------------------------------
% 6.53/1.19 % (4289)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on Vampire---4 for (2991ds/279Mi)
% 6.64/1.19 % (4306)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 Vampire---4 for (2991ds/26Mi)
% 6.64/1.20 % (4304)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on Vampire---4 for (2991ds/258Mi)
% 6.64/1.20 % (4306)Instruction limit reached!
% 6.64/1.20 % (4306)------------------------------
% 6.64/1.20 % (4306)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.64/1.20 % (4306)Termination reason: Unknown
% 6.64/1.20 % (4306)Termination phase: Property scanning
% 6.64/1.20
% 6.64/1.20 % (4306)Memory used [KB]: 1407
% 6.64/1.20 % (4306)Time elapsed: 0.008 s
% 6.64/1.20 % (4306)Instructions burned: 27 (million)
% 6.64/1.20 % (4306)------------------------------
% 6.64/1.20 % (4306)------------------------------
% 6.64/1.21 % (4314)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 Vampire---4 for (2991ds/995Mi)
% 6.83/1.24 % (4289)Refutation not found, incomplete strategy
% 6.83/1.24 % (4289)------------------------------
% 6.83/1.24 % (4289)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.83/1.24 % (4289)Termination reason: Refutation not found, incomplete strategy
% 6.83/1.24
% 6.83/1.24
% 6.83/1.24 % (4289)Memory used [KB]: 6652
% 6.83/1.24 % (4289)Time elapsed: 0.052 s
% 6.83/1.24 % (4289)Instructions burned: 239 (million)
% 6.83/1.24 % (4289)------------------------------
% 6.83/1.24 % (4289)------------------------------
% 6.83/1.25 % (4336)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 Vampire---4 for (2991ds/373Mi)
% 6.83/1.28 % (4304)Instruction limit reached!
% 6.83/1.28 % (4304)------------------------------
% 6.83/1.28 % (4304)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.83/1.28 % (4304)Termination reason: Unknown
% 6.83/1.28 % (4304)Termination phase: Saturation
% 6.83/1.28
% 6.83/1.28 % (4304)Memory used [KB]: 6780
% 6.83/1.28 % (4304)Time elapsed: 0.080 s
% 6.83/1.28 % (4304)Instructions burned: 260 (million)
% 6.83/1.28 % (4304)------------------------------
% 6.83/1.28 % (4304)------------------------------
% 6.83/1.28 % (4355)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 Vampire---4 for (2990ds/253Mi)
% 7.38/1.32 % (4211)Instruction limit reached!
% 7.38/1.32 % (4211)------------------------------
% 7.38/1.32 % (4211)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.38/1.32 % (4211)Termination reason: Unknown
% 7.38/1.32 % (4211)Termination phase: Saturation
% 7.38/1.32
% 7.38/1.32 % (4211)Memory used [KB]: 8059
% 7.38/1.32 % (4211)Time elapsed: 0.292 s
% 7.38/1.32 % (4211)Instructions burned: 1541 (million)
% 7.38/1.32 % (4211)------------------------------
% 7.38/1.32 % (4211)------------------------------
% 7.38/1.32 % (4336)Instruction limit reached!
% 7.38/1.32 % (4336)------------------------------
% 7.38/1.32 % (4336)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.38/1.32 % (4336)Termination reason: Unknown
% 7.38/1.32 % (4336)Termination phase: Saturation
% 7.38/1.32
% 7.38/1.32 % (4336)Memory used [KB]: 6908
% 7.38/1.32 % (4336)Time elapsed: 0.079 s
% 7.38/1.32 % (4336)Instructions burned: 376 (million)
% 7.38/1.32 % (4336)------------------------------
% 7.38/1.32 % (4336)------------------------------
% 7.38/1.33 % (4366)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on Vampire---4 for (2990ds/832Mi)
% 7.38/1.33 % (4367)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 Vampire---4 for (2990ds/668Mi)
% 7.38/1.34 % (4355)Instruction limit reached!
% 7.38/1.34 % (4355)------------------------------
% 7.38/1.34 % (4355)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.38/1.34 % (4355)Termination reason: Unknown
% 7.38/1.34 % (4355)Termination phase: Saturation
% 7.38/1.34
% 7.38/1.34 % (4355)Memory used [KB]: 6652
% 7.38/1.34 % (4355)Time elapsed: 0.053 s
% 7.38/1.34 % (4355)Instructions burned: 256 (million)
% 7.38/1.34 % (4355)------------------------------
% 7.38/1.34 % (4355)------------------------------
% 7.38/1.34 % (4366)Refutation not found, incomplete strategy
% 7.38/1.34 % (4366)------------------------------
% 7.38/1.34 % (4366)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.38/1.34 % (4366)Termination reason: Refutation not found, incomplete strategy
% 7.38/1.34
% 7.38/1.34
% 7.38/1.34 % (4366)Memory used [KB]: 5884
% 7.38/1.34 % (4366)Time elapsed: 0.012 s
% 7.38/1.34 % (4366)Instructions burned: 45 (million)
% 7.38/1.34 % (4366)------------------------------
% 7.38/1.34 % (4366)------------------------------
% 7.38/1.34 % (4368)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 Vampire---4 for (2990ds/40Mi)
% 7.38/1.35 % (4371)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 Vampire---4 for (2990ds/294Mi)
% 7.38/1.35 % (4368)Instruction limit reached!
% 7.38/1.35 % (4368)------------------------------
% 7.38/1.35 % (4368)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.38/1.35 % (4368)Termination reason: Unknown
% 7.38/1.35 % (4368)Termination phase: Property scanning
% 7.38/1.35
% 7.38/1.35 % (4368)Memory used [KB]: 1407
% 7.38/1.35 % (4368)Time elapsed: 0.011 s
% 7.38/1.35 % (4368)Instructions burned: 43 (million)
% 7.38/1.35 % (4368)------------------------------
% 7.38/1.35 % (4368)------------------------------
% 7.38/1.36 % (4377)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 Vampire---4 for (2990ds/187Mi)
% 7.87/1.39 % (4314)Instruction limit reached!
% 7.87/1.39 % (4314)------------------------------
% 7.87/1.39 % (4314)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.87/1.39 % (4314)Termination reason: Unknown
% 7.87/1.39 % (4314)Termination phase: Saturation
% 7.87/1.39
% 7.87/1.39 % (4314)Memory used [KB]: 6780
% 7.87/1.39 % (4314)Time elapsed: 0.184 s
% 7.87/1.39 % (4314)Instructions burned: 998 (million)
% 7.87/1.39 % (4314)------------------------------
% 7.87/1.39 % (4314)------------------------------
% 7.87/1.40 % (4388)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on Vampire---4 for (2989ds/371Mi)
% 7.87/1.40 % (4377)Instruction limit reached!
% 7.87/1.40 % (4377)------------------------------
% 7.87/1.40 % (4377)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.87/1.40 % (4377)Termination reason: Unknown
% 7.87/1.40 % (4377)Termination phase: Saturation
% 7.87/1.40
% 7.87/1.40 % (4377)Memory used [KB]: 6268
% 7.87/1.40 % (4377)Time elapsed: 0.040 s
% 7.87/1.40 % (4377)Instructions burned: 187 (million)
% 7.87/1.40 % (4377)------------------------------
% 7.87/1.40 % (4377)------------------------------
% 7.87/1.40 % (4202)Refutation not found, incomplete strategy
% 7.87/1.40 % (4202)------------------------------
% 7.87/1.40 % (4202)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.87/1.40 % (4202)Termination reason: Refutation not found, incomplete strategy
% 7.87/1.40
% 7.87/1.40
% 7.87/1.40 % (4202)Memory used [KB]: 9722
% 7.87/1.40 % (4202)Time elapsed: 0.385 s
% 7.87/1.40 % (4202)Instructions burned: 2114 (million)
% 7.87/1.40 % (4202)------------------------------
% 7.87/1.40 % (4202)------------------------------
% 7.87/1.41 % (4393)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on Vampire---4 for (2989ds/1827Mi)
% 7.87/1.41 % (4394)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 Vampire---4 for (2989ds/70Mi)
% 7.87/1.41 % (4371)Instruction limit reached!
% 7.87/1.41 % (4371)------------------------------
% 7.87/1.41 % (4371)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.87/1.41 % (4371)Termination reason: Unknown
% 7.87/1.41 % (4371)Termination phase: Saturation
% 7.87/1.41
% 7.87/1.41 % (4371)Memory used [KB]: 6908
% 7.87/1.41 % (4371)Time elapsed: 0.063 s
% 7.87/1.41 % (4371)Instructions burned: 298 (million)
% 7.87/1.41 % (4371)------------------------------
% 7.87/1.41 % (4371)------------------------------
% 7.87/1.42 % (4388)Refutation not found, incomplete strategy
% 7.87/1.42 % (4388)------------------------------
% 7.87/1.42 % (4388)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.87/1.42 % (4388)Termination reason: Refutation not found, incomplete strategy
% 7.87/1.42
% 7.87/1.42
% 7.87/1.42 % (4388)Memory used [KB]: 6140
% 7.87/1.42 % (4388)Time elapsed: 0.021 s
% 7.87/1.42 % (4388)Instructions burned: 81 (million)
% 7.87/1.42 % (4388)------------------------------
% 7.87/1.42 % (4388)------------------------------
% 7.87/1.42 % (4399)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 Vampire---4 for (2989ds/316Mi)
% 7.87/1.42 % (4394)Instruction limit reached!
% 7.87/1.42 % (4394)------------------------------
% 7.87/1.42 % (4394)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.87/1.42 % (4394)Termination reason: Unknown
% 7.87/1.42 % (4394)Termination phase: Property scanning
% 7.87/1.42
% 7.87/1.42 % (4394)Memory used [KB]: 1407
% 7.87/1.42 % (4394)Time elapsed: 0.017 s
% 7.87/1.42 % (4394)Instructions burned: 70 (million)
% 7.87/1.42 % (4394)------------------------------
% 7.87/1.42 % (4394)------------------------------
% 7.87/1.43 % (4404)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 Vampire---4 for (2989ds/932Mi)
% 7.87/1.43 % (4407)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 Vampire---4 for (2989ds/4714Mi)
% 7.87/1.44 % (4233)Instruction limit reached!
% 7.87/1.44 % (4233)------------------------------
% 7.87/1.44 % (4233)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.87/1.44 % (4233)Termination reason: Unknown
% 7.87/1.44 % (4233)Termination phase: Saturation
% 7.87/1.44
% 7.87/1.44 % (4233)Memory used [KB]: 3965
% 7.87/1.44 % (4233)Time elapsed: 0.372 s
% 7.87/1.44 % (4233)Instructions burned: 1916 (million)
% 7.87/1.44 % (4233)------------------------------
% 7.87/1.44 % (4233)------------------------------
% 7.87/1.45 % (4411)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 Vampire---4 for (2989ds/8250Mi)
% 7.87/1.46 % (4367)Instruction limit reached!
% 7.87/1.46 % (4367)------------------------------
% 7.87/1.46 % (4367)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.87/1.46 % (4367)Termination reason: Unknown
% 7.87/1.46 % (4367)Termination phase: Saturation
% 7.87/1.46
% 7.87/1.46 % (4367)Memory used [KB]: 12025
% 7.87/1.46 % (4367)Time elapsed: 0.131 s
% 7.87/1.46 % (4367)Instructions burned: 672 (million)
% 7.87/1.46 % (4367)------------------------------
% 7.87/1.46 % (4367)------------------------------
% 8.66/1.47 % (4423)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 Vampire---4 for (2989ds/770Mi)
% 8.66/1.49 % (4399)Instruction limit reached!
% 8.66/1.49 % (4399)------------------------------
% 8.66/1.49 % (4399)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.66/1.49 % (4399)Termination reason: Unknown
% 8.66/1.49 % (4399)Termination phase: Saturation
% 8.66/1.49
% 8.66/1.49 % (4399)Memory used [KB]: 7419
% 8.66/1.49 % (4399)Time elapsed: 0.067 s
% 8.66/1.49 % (4399)Instructions burned: 317 (million)
% 8.66/1.49 % (4399)------------------------------
% 8.66/1.49 % (4399)------------------------------
% 8.77/1.49 % (4440)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on Vampire---4 for (2988ds/794Mi)
% 8.84/1.57 % (4423)Refutation not found, incomplete strategy
% 8.84/1.57 % (4423)------------------------------
% 8.84/1.57 % (4423)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.84/1.57 % (4423)Termination reason: Refutation not found, incomplete strategy
% 8.84/1.57
% 8.84/1.57
% 8.84/1.57 % (4423)Memory used [KB]: 6268
% 8.84/1.57 % (4423)Time elapsed: 0.098 s
% 8.84/1.57 % (4423)Instructions burned: 417 (million)
% 8.84/1.57 % (4423)------------------------------
% 8.84/1.57 % (4423)------------------------------
% 8.84/1.57 % (4453)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on Vampire---4 for (2988ds/464Mi)
% 8.84/1.60 % (4404)Instruction limit reached!
% 8.84/1.60 % (4404)------------------------------
% 8.84/1.60 % (4404)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.84/1.60 % (4404)Termination reason: Unknown
% 8.84/1.60 % (4404)Termination phase: Saturation
% 8.84/1.60
% 8.84/1.60 % (4404)Memory used [KB]: 7547
% 8.84/1.60 % (4404)Time elapsed: 0.176 s
% 8.84/1.60 % (4404)Instructions burned: 933 (million)
% 8.84/1.60 % (4404)------------------------------
% 8.84/1.60 % (4404)------------------------------
% 9.29/1.61 % (4454)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 Vampire---4 for (2987ds/1376Mi)
% 9.29/1.65 % (4440)Instruction limit reached!
% 9.29/1.65 % (4440)------------------------------
% 9.29/1.65 % (4440)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.29/1.65 % (4440)Termination reason: Unknown
% 9.29/1.65 % (4440)Termination phase: Saturation
% 9.29/1.65
% 9.29/1.65 % (4440)Memory used [KB]: 3326
% 9.29/1.65 % (4440)Time elapsed: 0.160 s
% 9.29/1.65 % (4440)Instructions burned: 796 (million)
% 9.29/1.65 % (4440)------------------------------
% 9.29/1.65 % (4440)------------------------------
% 9.29/1.66 % (4455)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on Vampire---4 for (2987ds/906Mi)
% 10.57/1.69 % (4453)Instruction limit reached!
% 10.57/1.69 % (4453)------------------------------
% 10.57/1.69 % (4453)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.57/1.69 % (4453)Termination reason: Unknown
% 10.57/1.69 % (4453)Termination phase: Saturation
% 10.57/1.69
% 10.57/1.69 % (4453)Memory used [KB]: 7036
% 10.57/1.69 % (4453)Time elapsed: 0.104 s
% 10.57/1.69 % (4453)Instructions burned: 464 (million)
% 10.57/1.69 % (4453)------------------------------
% 10.57/1.69 % (4453)------------------------------
% 10.57/1.69 % (4456)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 Vampire---4 for (2986ds/434Mi)
% 11.24/1.79 % (4456)Instruction limit reached!
% 11.24/1.79 % (4456)------------------------------
% 11.24/1.79 % (4456)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.24/1.79 % (4456)Termination reason: Unknown
% 11.24/1.79 % (4456)Termination phase: Saturation
% 11.24/1.79
% 11.24/1.79 % (4456)Memory used [KB]: 6012
% 11.24/1.79 % (4456)Time elapsed: 0.101 s
% 11.24/1.79 % (4456)Instructions burned: 438 (million)
% 11.24/1.79 % (4456)------------------------------
% 11.24/1.79 % (4456)------------------------------
% 11.50/1.80 % (4457)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 Vampire---4 for (2985ds/865Mi)
% 11.63/1.83 % (4455)Instruction limit reached!
% 11.63/1.83 % (4455)------------------------------
% 11.63/1.83 % (4455)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.63/1.83 % (4455)Termination reason: Unknown
% 11.63/1.83 % (4455)Termination phase: Saturation
% 11.63/1.83
% 11.63/1.83 % (4455)Memory used [KB]: 7675
% 11.63/1.83 % (4455)Time elapsed: 0.174 s
% 11.63/1.83 % (4455)Instructions burned: 907 (million)
% 11.63/1.83 % (4455)------------------------------
% 11.63/1.83 % (4455)------------------------------
% 11.63/1.84 % (4458)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 Vampire---4 for (2985ds/593Mi)
% 11.63/1.85 % (4457)Refutation not found, incomplete strategy
% 11.63/1.85 % (4457)------------------------------
% 11.63/1.85 % (4457)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.63/1.85 % (4457)Termination reason: Refutation not found, incomplete strategy
% 11.63/1.85
% 11.63/1.85
% 11.63/1.85 % (4457)Memory used [KB]: 6268
% 11.63/1.85 % (4457)Time elapsed: 0.067 s
% 11.63/1.85 % (4457)Instructions burned: 173 (million)
% 11.63/1.85 % (4457)------------------------------
% 11.63/1.85 % (4457)------------------------------
% 11.63/1.85 % (4459)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on Vampire---4 for (2985ds/443Mi)
% 11.63/1.86 % (4454)Instruction limit reached!
% 11.63/1.86 % (4454)------------------------------
% 11.63/1.86 % (4454)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.63/1.86 % (4454)Termination reason: Unknown
% 11.63/1.86 % (4454)Termination phase: Saturation
% 11.63/1.86
% 11.63/1.86 % (4454)Memory used [KB]: 7675
% 11.63/1.86 % (4454)Time elapsed: 0.255 s
% 11.63/1.86 % (4454)Instructions burned: 1381 (million)
% 11.63/1.86 % (4454)------------------------------
% 11.63/1.86 % (4454)------------------------------
% 11.63/1.87 % (4460)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on Vampire---4 for (2985ds/594Mi)
% 11.63/1.90 % (4243)Refutation not found, incomplete strategy
% 11.63/1.90 % (4243)------------------------------
% 11.63/1.90 % (4243)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.63/1.90 % (4243)Termination reason: Refutation not found, incomplete strategy
% 11.63/1.90
% 11.63/1.90
% 11.63/1.90 % (4243)Memory used [KB]: 10106
% 11.63/1.90 % (4243)Time elapsed: 0.802 s
% 11.63/1.90 % (4243)Instructions burned: 4055 (million)
% 11.63/1.90 % (4243)------------------------------
% 11.63/1.90 % (4243)------------------------------
% 11.63/1.90 % (4461)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 Vampire---4 for (2984ds/327Mi)
% 12.22/1.95 % (4459)Instruction limit reached!
% 12.22/1.95 % (4459)------------------------------
% 12.22/1.95 % (4459)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.22/1.95 % (4459)Termination reason: Unknown
% 12.22/1.95 % (4459)Termination phase: Saturation
% 12.22/1.95
% 12.22/1.95 % (4459)Memory used [KB]: 7547
% 12.22/1.95 % (4459)Time elapsed: 0.093 s
% 12.22/1.95 % (4459)Instructions burned: 444 (million)
% 12.22/1.95 % (4459)------------------------------
% 12.22/1.95 % (4459)------------------------------
% 12.22/1.95 % (4462)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on Vampire---4 for (2984ds/5411Mi)
% 12.22/1.95 % (4458)Instruction limit reached!
% 12.22/1.95 % (4458)------------------------------
% 12.22/1.95 % (4458)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.22/1.95 % (4458)Termination reason: Unknown
% 12.22/1.95 % (4458)Termination phase: Saturation
% 12.22/1.95
% 12.22/1.95 % (4458)Memory used [KB]: 7419
% 12.22/1.95 % (4458)Time elapsed: 0.115 s
% 12.22/1.95 % (4458)Instructions burned: 593 (million)
% 12.22/1.95 % (4458)------------------------------
% 12.22/1.95 % (4458)------------------------------
% 12.22/1.96 % (4460)Refutation not found, incomplete strategy
% 12.22/1.96 % (4460)------------------------------
% 12.22/1.96 % (4460)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.22/1.96 % (4460)Termination reason: Refutation not found, incomplete strategy
% 12.22/1.96
% 12.22/1.96
% 12.22/1.96 % (4460)Memory used [KB]: 6140
% 12.22/1.96 % (4460)Time elapsed: 0.113 s
% 12.22/1.96 % (4460)Instructions burned: 306 (million)
% 12.22/1.96 % (4460)------------------------------
% 12.22/1.96 % (4460)------------------------------
% 12.22/1.96 % (4463)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 Vampire---4 for (2984ds/1762Mi)
% 12.22/1.96 % (4393)Instruction limit reached!
% 12.22/1.96 % (4393)------------------------------
% 12.22/1.96 % (4393)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.22/1.96 % (4393)Termination reason: Unknown
% 12.22/1.96 % (4393)Termination phase: Saturation
% 12.22/1.96
% 12.22/1.96 % (4393)Memory used [KB]: 9210
% 12.22/1.96 % (4393)Time elapsed: 0.558 s
% 12.22/1.96 % (4393)Instructions burned: 1828 (million)
% 12.22/1.96 % (4393)------------------------------
% 12.22/1.96 % (4393)------------------------------
% 12.22/1.97 % (4464)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on Vampire---4 for (2983ds/96Mi)
% 12.22/1.97 % (4462)Refutation not found, incomplete strategy
% 12.22/1.97 % (4462)------------------------------
% 12.22/1.97 % (4462)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.22/1.97 % (4462)Termination reason: Refutation not found, incomplete strategy
% 12.22/1.97
% 12.22/1.97
% 12.22/1.97 % (4462)Memory used [KB]: 6140
% 12.22/1.97 % (4462)Time elapsed: 0.017 s
% 12.22/1.97 % (4462)Instructions burned: 68 (million)
% 12.22/1.97 % (4462)------------------------------
% 12.22/1.97 % (4462)------------------------------
% 12.22/1.97 % (4465)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 Vampire---4 for (2983ds/503Mi)
% 12.22/1.98 % (4466)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 Vampire---4 for (2983ds/90Mi)
% 12.22/1.99 % (4464)Instruction limit reached!
% 12.22/1.99 % (4464)------------------------------
% 12.22/1.99 % (4464)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.22/1.99 % (4464)Termination reason: Unknown
% 12.22/1.99 % (4464)Termination phase: Saturation
% 12.22/1.99
% 12.22/1.99 % (4464)Memory used [KB]: 6140
% 12.22/1.99 % (4464)Time elapsed: 0.023 s
% 12.22/1.99 % (4464)Instructions burned: 97 (million)
% 12.22/1.99 % (4464)------------------------------
% 12.22/1.99 % (4464)------------------------------
% 12.88/2.00 % (4461)Instruction limit reached!
% 12.88/2.00 % (4461)------------------------------
% 12.88/2.00 % (4461)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.88/2.00 % (4467)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on Vampire---4 for (2983ds/593Mi)
% 12.88/2.00 % (4461)Termination reason: Unknown
% 12.88/2.00 % (4461)Termination phase: Saturation
% 12.88/2.00
% 12.88/2.00 % (4461)Memory used [KB]: 7164
% 12.88/2.00 % (4461)Time elapsed: 0.118 s
% 12.88/2.00 % (4461)Instructions burned: 327 (million)
% 12.88/2.00 % (4461)------------------------------
% 12.88/2.00 % (4461)------------------------------
% 12.88/2.00 % (4466)Instruction limit reached!
% 12.88/2.00 % (4466)------------------------------
% 12.88/2.00 % (4466)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.88/2.00 % (4466)Termination reason: Unknown
% 12.88/2.00 % (4466)Termination phase: Saturation
% 12.88/2.00
% 12.88/2.00 % (4466)Memory used [KB]: 6140
% 12.88/2.00 % (4466)Time elapsed: 0.024 s
% 12.88/2.00 % (4466)Instructions burned: 93 (million)
% 12.88/2.00 % (4466)------------------------------
% 12.88/2.00 % (4466)------------------------------
% 12.88/2.01 % (4468)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 Vampire---4 for (2983ds/1512Mi)
% 12.88/2.01 % (4469)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on Vampire---4 for (2983ds/569Mi)
% 12.88/2.02 % (4468)Refutation not found, incomplete strategy
% 12.88/2.02 % (4468)------------------------------
% 12.88/2.02 % (4468)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.88/2.02 % (4468)Termination reason: Refutation not found, incomplete strategy
% 12.88/2.02
% 12.88/2.02
% 12.88/2.02 % (4468)Memory used [KB]: 6012
% 12.88/2.02 % (4468)Time elapsed: 0.014 s
% 12.88/2.02 % (4468)Instructions burned: 54 (million)
% 12.88/2.02 % (4468)------------------------------
% 12.88/2.02 % (4468)------------------------------
% 12.88/2.03 % (4470)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 Vampire---4 for (2983ds/501Mi)
% 13.30/2.09 % (4465)Instruction limit reached!
% 13.30/2.09 % (4465)------------------------------
% 13.30/2.09 % (4465)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.30/2.09 % (4465)Termination reason: Unknown
% 13.30/2.09 % (4465)Termination phase: Saturation
% 13.30/2.09
% 13.30/2.09 % (4465)Memory used [KB]: 6268
% 13.30/2.09 % (4465)Time elapsed: 0.117 s
% 13.30/2.09 % (4465)Instructions burned: 503 (million)
% 13.30/2.09 % (4465)------------------------------
% 13.30/2.09 % (4465)------------------------------
% 13.30/2.10 % (4471)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 Vampire---4 for (2982ds/562Mi)
% 13.48/2.11 % (4467)Instruction limit reached!
% 13.48/2.11 % (4467)------------------------------
% 13.48/2.11 % (4467)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.48/2.11 % (4467)Termination reason: Unknown
% 13.48/2.11 % (4467)Termination phase: Saturation
% 13.48/2.11
% 13.48/2.11 % (4467)Memory used [KB]: 6780
% 13.48/2.11 % (4467)Time elapsed: 0.115 s
% 13.48/2.11 % (4467)Instructions burned: 593 (million)
% 13.48/2.11 % (4467)------------------------------
% 13.48/2.11 % (4467)------------------------------
% 13.66/2.12 % (4469)Instruction limit reached!
% 13.66/2.12 % (4469)------------------------------
% 13.66/2.12 % (4469)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.66/2.12 % (4469)Termination reason: Unknown
% 13.66/2.12 % (4469)Termination phase: Saturation
% 13.66/2.12
% 13.66/2.12 % (4469)Memory used [KB]: 6652
% 13.66/2.12 % (4469)Time elapsed: 0.110 s
% 13.66/2.12 % (4469)Instructions burned: 573 (million)
% 13.66/2.12 % (4469)------------------------------
% 13.66/2.12 % (4469)------------------------------
% 13.66/2.12 % (4472)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on Vampire---4 for (2982ds/406Mi)
% 13.66/2.12 % (4473)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on Vampire---4 for (2982ds/582Mi)
% 13.66/2.13 % (4470)Instruction limit reached!
% 13.66/2.13 % (4470)------------------------------
% 13.66/2.13 % (4470)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.66/2.13 % (4470)Termination reason: Unknown
% 13.66/2.13 % (4470)Termination phase: Saturation
% 13.66/2.13
% 13.66/2.13 % (4470)Memory used [KB]: 7547
% 13.66/2.13 % (4470)Time elapsed: 0.101 s
% 13.66/2.13 % (4470)Instructions burned: 502 (million)
% 13.66/2.13 % (4470)------------------------------
% 13.66/2.13 % (4470)------------------------------
% 13.66/2.13 % (4474)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 Vampire---4 for (2982ds/456Mi)
% 13.66/2.20 % (4471)Instruction limit reached!
% 13.66/2.20 % (4471)------------------------------
% 13.66/2.20 % (4471)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.66/2.20 % (4471)Termination reason: Unknown
% 13.66/2.20 % (4471)Termination phase: Saturation
% 13.66/2.20
% 13.66/2.20 % (4471)Memory used [KB]: 7547
% 13.66/2.20 % (4471)Time elapsed: 0.111 s
% 13.66/2.20 % (4471)Instructions burned: 564 (million)
% 13.66/2.20 % (4471)------------------------------
% 13.66/2.20 % (4471)------------------------------
% 13.66/2.21 % (4475)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on Vampire---4 for (2981ds/393Mi)
% 14.29/2.23 % (4474)Instruction limit reached!
% 14.29/2.23 % (4474)------------------------------
% 14.29/2.23 % (4474)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.29/2.23 % (4474)Termination reason: Unknown
% 14.29/2.23 % (4474)Termination phase: Saturation
% 14.29/2.23
% 14.29/2.23 % (4474)Memory used [KB]: 7547
% 14.29/2.23 % (4474)Time elapsed: 0.093 s
% 14.29/2.23 % (4474)Instructions burned: 456 (million)
% 14.29/2.23 % (4474)------------------------------
% 14.29/2.23 % (4474)------------------------------
% 14.29/2.23 % (4476)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 Vampire---4 for (2981ds/1335Mi)
% 14.29/2.24 % (4473)Instruction limit reached!
% 14.29/2.24 % (4473)------------------------------
% 14.29/2.24 % (4473)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.29/2.24 % (4473)Termination reason: Unknown
% 14.29/2.24 % (4473)Termination phase: Saturation
% 14.29/2.24
% 14.29/2.24 % (4473)Memory used [KB]: 7547
% 14.29/2.24 % (4473)Time elapsed: 0.117 s
% 14.29/2.24 % (4473)Instructions burned: 582 (million)
% 14.29/2.24 % (4473)------------------------------
% 14.29/2.24 % (4473)------------------------------
% 14.29/2.24 % (4472)Instruction limit reached!
% 14.29/2.24 % (4472)------------------------------
% 14.29/2.24 % (4472)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.29/2.24 % (4472)Termination reason: Unknown
% 14.29/2.24 % (4472)Termination phase: Saturation
% 14.29/2.24
% 14.29/2.24 % (4472)Memory used [KB]: 7164
% 14.29/2.24 % (4472)Time elapsed: 0.126 s
% 14.29/2.24 % (4472)Instructions burned: 407 (million)
% 14.29/2.24 % (4472)------------------------------
% 14.29/2.24 % (4472)------------------------------
% 14.29/2.25 % (4477)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 Vampire---4 for (2981ds/3373Mi)
% 14.29/2.25 % (4478)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 Vampire---4 for (2981ds/474Mi)
% 14.29/2.25 % (4476)Refutation not found, incomplete strategy
% 14.29/2.25 % (4476)------------------------------
% 14.29/2.25 % (4476)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.29/2.25 % (4476)Termination reason: Refutation not found, incomplete strategy
% 14.29/2.25
% 14.29/2.25
% 14.29/2.25 % (4476)Memory used [KB]: 6140
% 14.29/2.25 % (4476)Time elapsed: 0.022 s
% 14.29/2.25 % (4476)Instructions burned: 86 (million)
% 14.29/2.25 % (4476)------------------------------
% 14.29/2.25 % (4476)------------------------------
% 14.29/2.26 % (4479)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 Vampire---4 for (2981ds/157Mi)
% 14.29/2.30 % (4479)Instruction limit reached!
% 14.29/2.30 % (4479)------------------------------
% 14.29/2.30 % (4479)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.29/2.30 % (4479)Termination reason: Unknown
% 14.29/2.30 % (4479)Termination phase: Saturation
% 14.29/2.30
% 14.29/2.30 % (4479)Memory used [KB]: 6524
% 14.29/2.30 % (4479)Time elapsed: 0.035 s
% 14.29/2.30 % (4479)Instructions burned: 159 (million)
% 14.29/2.30 % (4479)------------------------------
% 14.29/2.30 % (4479)------------------------------
% 15.52/2.31 % (4480)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 Vampire---4 for (2980ds/590Mi)
% 15.52/2.31 % (4463)Instruction limit reached!
% 15.52/2.31 % (4463)------------------------------
% 15.52/2.31 % (4463)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.52/2.31 % (4463)Termination reason: Unknown
% 15.52/2.31 % (4463)Termination phase: Saturation
% 15.52/2.31
% 15.52/2.31 % (4463)Memory used [KB]: 8443
% 15.52/2.31 % (4463)Time elapsed: 0.379 s
% 15.52/2.31 % (4463)Instructions burned: 1765 (million)
% 15.52/2.31 % (4463)------------------------------
% 15.52/2.31 % (4463)------------------------------
% 15.52/2.32 % (4475)Instruction limit reached!
% 15.52/2.32 % (4475)------------------------------
% 15.52/2.32 % (4475)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.52/2.32 % (4475)Termination reason: Unknown
% 15.52/2.32 % (4475)Termination phase: Saturation
% 15.52/2.32
% 15.52/2.32 % (4475)Memory used [KB]: 7036
% 15.52/2.32 % (4475)Time elapsed: 0.104 s
% 15.52/2.32 % (4475)Instructions burned: 394 (million)
% 15.52/2.32 % (4475)------------------------------
% 15.52/2.32 % (4475)------------------------------
% 15.52/2.32 % (4481)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on Vampire---4 for (2980ds/104Mi)
% 15.52/2.32 % (4482)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on Vampire---4 for (2980ds/414Mi)
% 15.52/2.33 % (4223)Instruction limit reached!
% 15.52/2.33 % (4223)------------------------------
% 15.52/2.33 % (4223)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.52/2.33 % (4223)Termination reason: Unknown
% 15.52/2.33 % (4223)Termination phase: Saturation
% 15.52/2.33
% 15.52/2.33 % (4223)Memory used [KB]: 12665
% 15.52/2.33 % (4223)Time elapsed: 1.264 s
% 15.52/2.33 % (4223)Instructions burned: 5205 (million)
% 15.52/2.33 % (4223)------------------------------
% 15.52/2.33 % (4223)------------------------------
% 15.52/2.34 % (4483)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 Vampire---4 for (2980ds/715Mi)
% 15.52/2.34 % (4478)Instruction limit reached!
% 15.52/2.34 % (4478)------------------------------
% 15.52/2.34 % (4478)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.52/2.34 % (4478)Termination reason: Unknown
% 15.52/2.34 % (4478)Termination phase: Saturation
% 15.52/2.34
% 15.52/2.34 % (4478)Memory used [KB]: 6780
% 15.52/2.34 % (4478)Time elapsed: 0.093 s
% 15.52/2.34 % (4478)Instructions burned: 475 (million)
% 15.52/2.34 % (4478)------------------------------
% 15.52/2.34 % (4478)------------------------------
% 15.52/2.35 % (4481)Instruction limit reached!
% 15.52/2.35 % (4481)------------------------------
% 15.52/2.35 % (4481)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.52/2.35 % (4481)Termination reason: Unknown
% 15.52/2.35 % (4481)Termination phase: Saturation
% 15.52/2.35
% 15.52/2.35 % (4481)Memory used [KB]: 1663
% 15.52/2.35 % (4481)Time elapsed: 0.025 s
% 15.52/2.35 % (4481)Instructions burned: 106 (million)
% 15.52/2.35 % (4481)------------------------------
% 15.52/2.35 % (4481)------------------------------
% 15.52/2.35 % (4484)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 Vampire---4 for (2980ds/961Mi)
% 15.52/2.35 % (4485)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 Vampire---4 for (2980ds/1213Mi)
% 15.97/2.40 % (4482)Instruction limit reached!
% 15.97/2.40 % (4482)------------------------------
% 15.97/2.40 % (4482)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.97/2.40 % (4482)Termination reason: Unknown
% 15.97/2.40 % (4482)Termination phase: Saturation
% 15.97/2.40
% 15.97/2.40 % (4482)Memory used [KB]: 6652
% 15.97/2.40 % (4482)Time elapsed: 0.081 s
% 15.97/2.40 % (4482)Instructions burned: 417 (million)
% 15.97/2.40 % (4482)------------------------------
% 15.97/2.40 % (4482)------------------------------
% 16.08/2.41 % (4486)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on Vampire---4 for (2979ds/1979Mi)
% 16.08/2.48 % (4480)Instruction limit reached!
% 16.08/2.48 % (4480)------------------------------
% 16.08/2.48 % (4480)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.08/2.48 % (4480)Termination reason: Unknown
% 16.08/2.48 % (4480)Termination phase: Saturation
% 16.08/2.48
% 16.08/2.48 % (4480)Memory used [KB]: 7931
% 16.08/2.48 % (4480)Time elapsed: 0.169 s
% 16.08/2.48 % (4480)Instructions burned: 592 (million)
% 16.08/2.48 % (4480)------------------------------
% 16.08/2.48 % (4480)------------------------------
% 16.08/2.48 % (4483)Instruction limit reached!
% 16.08/2.48 % (4483)------------------------------
% 16.08/2.48 % (4483)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.08/2.48 % (4483)Termination reason: Unknown
% 16.08/2.48 % (4483)Termination phase: Saturation
% 16.08/2.48
% 16.08/2.48 % (4483)Memory used [KB]: 3454
% 16.08/2.48 % (4483)Time elapsed: 0.146 s
% 16.08/2.48 % (4483)Instructions burned: 718 (million)
% 16.08/2.48 % (4483)------------------------------
% 16.08/2.48 % (4483)------------------------------
% 16.08/2.49 % (4487)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on Vampire---4 for (2978ds/481Mi)
% 16.08/2.49 % (4407)Refutation not found, non-redundant clauses discarded% (4407)------------------------------
% 16.08/2.49 % (4407)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.08/2.49 % (4407)Termination reason: Refutation not found, non-redundant clauses discarded
% 16.08/2.49
% 16.08/2.49 % (4407)Memory used [KB]: 10874
% 16.08/2.49 % (4407)Time elapsed: 1.055 s
% 16.08/2.49 % (4407)Instructions burned: 4712 (million)
% 16.08/2.49 % (4407)------------------------------
% 16.08/2.49 % (4407)------------------------------
% 16.08/2.49 % (4488)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on Vampire---4 for (2978ds/783Mi)
% 16.08/2.50 % (4489)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on Vampire---4 for (2978ds/432Mi)
% 16.68/2.54 % (4484)Instruction limit reached!
% 16.68/2.54 % (4484)------------------------------
% 16.68/2.54 % (4484)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.68/2.54 % (4484)Termination reason: Unknown
% 16.68/2.54 % (4484)Termination phase: Saturation
% 16.68/2.54
% 16.68/2.54 % (4484)Memory used [KB]: 7803
% 16.68/2.54 % (4484)Time elapsed: 0.187 s
% 16.68/2.54 % (4484)Instructions burned: 965 (million)
% 16.68/2.54 % (4484)------------------------------
% 16.68/2.54 % (4484)------------------------------
% 16.68/2.55 % (4490)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on Vampire---4 for (2978ds/1670Mi)
% 16.68/2.58 % (4487)Instruction limit reached!
% 16.68/2.58 % (4487)------------------------------
% 16.68/2.58 % (4487)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.68/2.58 % (4487)Termination reason: Unknown
% 16.68/2.58 % (4487)Termination phase: Saturation
% 16.68/2.58
% 16.68/2.58 % (4487)Memory used [KB]: 7547
% 16.68/2.58 % (4487)Time elapsed: 0.097 s
% 16.68/2.58 % (4487)Instructions burned: 484 (million)
% 16.68/2.58 % (4487)------------------------------
% 16.68/2.58 % (4487)------------------------------
% 16.68/2.59 % (4491)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on Vampire---4 for (2977ds/90Mi)
% 17.17/2.61 % (4491)Instruction limit reached!
% 17.17/2.61 % (4491)------------------------------
% 17.17/2.61 % (4491)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.17/2.61 % (4491)Termination reason: Unknown
% 17.17/2.61 % (4491)Termination phase: Saturation
% 17.17/2.61
% 17.17/2.61 % (4491)Memory used [KB]: 6140
% 17.17/2.61 % (4491)Time elapsed: 0.022 s
% 17.17/2.61 % (4491)Instructions burned: 91 (million)
% 17.17/2.61 % (4491)------------------------------
% 17.17/2.61 % (4491)------------------------------
% 17.17/2.62 % (4489)Instruction limit reached!
% 17.17/2.62 % (4489)------------------------------
% 17.17/2.62 % (4489)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.17/2.62 % (4489)Termination reason: Unknown
% 17.17/2.62 % (4489)Termination phase: Saturation
% 17.17/2.62
% 17.17/2.62 % (4489)Memory used [KB]: 6140
% 17.17/2.62 % (4489)Time elapsed: 0.123 s
% 17.17/2.62 % (4489)Instructions burned: 433 (million)
% 17.17/2.62 % (4489)------------------------------
% 17.17/2.62 % (4489)------------------------------
% 17.17/2.62 % (4492)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on Vampire---4 for (2977ds/346Mi)
% 17.17/2.63 % (4493)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on Vampire---4 for (2977ds/401Mi)
% 17.17/2.65 % (4488)Refutation not found, incomplete strategy
% 17.17/2.65 % (4488)------------------------------
% 17.17/2.65 % (4488)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.17/2.65 % (4488)Termination reason: Refutation not found, incomplete strategy
% 17.17/2.65
% 17.17/2.65
% 17.17/2.65 % (4488)Memory used [KB]: 6268
% 17.17/2.65 % (4488)Time elapsed: 0.160 s
% 17.17/2.65 % (4488)Instructions burned: 641 (million)
% 17.17/2.65 % (4488)------------------------------
% 17.17/2.65 % (4488)------------------------------
% 17.17/2.65 % (4494)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on Vampire---4 for (2977ds/6454Mi)
% 17.69/2.69 % (4492)Instruction limit reached!
% 17.69/2.69 % (4492)------------------------------
% 17.69/2.69 % (4492)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.69/2.69 % (4492)Termination reason: Unknown
% 17.69/2.69 % (4492)Termination phase: Saturation
% 17.69/2.69
% 17.69/2.69 % (4492)Memory used [KB]: 6652
% 17.69/2.69 % (4492)Time elapsed: 0.069 s
% 17.69/2.69 % (4492)Instructions burned: 346 (million)
% 17.69/2.69 % (4492)------------------------------
% 17.69/2.69 % (4492)------------------------------
% 17.69/2.69 % (4495)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on Vampire---4 for (2976ds/283Mi)
% 17.78/2.70 % (4493)Instruction limit reached!
% 17.78/2.70 % (4493)------------------------------
% 17.78/2.70 % (4493)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.78/2.70 % (4493)Termination reason: Unknown
% 17.78/2.70 % (4493)Termination phase: Saturation
% 17.78/2.70
% 17.78/2.70 % (4493)Memory used [KB]: 6652
% 17.78/2.70 % (4493)Time elapsed: 0.078 s
% 17.78/2.70 % (4493)Instructions burned: 401 (million)
% 17.78/2.70 % (4493)------------------------------
% 17.78/2.70 % (4493)------------------------------
% 17.88/2.71 % (4496)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on Vampire---4 for (2976ds/865Mi)
% 17.88/2.71 % (4485)Instruction limit reached!
% 17.88/2.71 % (4485)------------------------------
% 17.88/2.71 % (4485)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.88/2.71 % (4485)Termination reason: Unknown
% 17.88/2.71 % (4485)Termination phase: Saturation
% 17.88/2.71
% 17.88/2.71 % (4485)Memory used [KB]: 7675
% 17.88/2.71 % (4485)Time elapsed: 0.361 s
% 17.88/2.71 % (4485)Instructions burned: 1214 (million)
% 17.88/2.71 % (4485)------------------------------
% 17.88/2.71 % (4485)------------------------------
% 17.88/2.72 % (4497)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on Vampire---4 for (2976ds/4528Mi)
% 17.88/2.74 % (4497)Refutation not found, incomplete strategy
% 17.88/2.74 % (4497)------------------------------
% 17.88/2.74 % (4497)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.88/2.74 % (4497)Termination reason: Refutation not found, incomplete strategy
% 17.88/2.74
% 17.88/2.74
% 17.88/2.74 % (4497)Memory used [KB]: 1663
% 17.88/2.74 % (4497)Time elapsed: 0.019 s
% 17.88/2.74 % (4497)Instructions burned: 74 (million)
% 17.88/2.74 % (4497)------------------------------
% 17.88/2.74 % (4497)------------------------------
% 17.88/2.75 % (4498)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on Vampire---4 for (2976ds/1001Mi)
% 17.88/2.76 % (4495)Instruction limit reached!
% 17.88/2.76 % (4495)------------------------------
% 17.88/2.76 % (4495)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.88/2.76 % (4495)Termination reason: Unknown
% 17.88/2.76 % (4495)Termination phase: Saturation
% 17.88/2.76
% 17.88/2.76 % (4495)Memory used [KB]: 6908
% 17.88/2.76 % (4495)Time elapsed: 0.066 s
% 17.88/2.76 % (4495)Instructions burned: 285 (million)
% 17.88/2.76 % (4495)------------------------------
% 17.88/2.76 % (4495)------------------------------
% 17.88/2.77 % (4499)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on Vampire---4 for (2976ds/102Mi)
% 17.88/2.79 % (4499)Instruction limit reached!
% 17.88/2.79 % (4499)------------------------------
% 17.88/2.79 % (4499)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.88/2.79 % (4499)Termination reason: Unknown
% 17.88/2.79 % (4499)Termination phase: Saturation
% 17.88/2.79
% 17.88/2.79 % (4499)Memory used [KB]: 6140
% 17.88/2.79 % (4499)Time elapsed: 0.024 s
% 17.88/2.79 % (4499)Instructions burned: 104 (million)
% 17.88/2.79 % (4499)------------------------------
% 17.88/2.79 % (4499)------------------------------
% 17.88/2.80 % (4500)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on Vampire---4 for (2975ds/952Mi)
% 17.88/2.80 % (4486)Instruction limit reached!
% 17.88/2.80 % (4486)------------------------------
% 17.88/2.80 % (4486)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.88/2.80 % (4486)Termination reason: Unknown
% 17.88/2.80 % (4486)Termination phase: Saturation
% 17.88/2.80
% 17.88/2.80 % (4486)Memory used [KB]: 8315
% 17.88/2.80 % (4486)Time elapsed: 0.391 s
% 17.88/2.80 % (4486)Instructions burned: 1981 (million)
% 17.88/2.80 % (4486)------------------------------
% 17.88/2.80 % (4486)------------------------------
% 17.88/2.81 % (4501)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on Vampire---4 for (2975ds/578Mi)
% 19.60/2.86 % (4490)Instruction limit reached!
% 19.60/2.86 % (4490)------------------------------
% 19.60/2.86 % (4490)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.60/2.86 % (4490)Termination reason: Unknown
% 19.60/2.86 % (4490)Termination phase: Saturation
% 19.60/2.86
% 19.60/2.86 % (4490)Memory used [KB]: 8315
% 19.60/2.86 % (4490)Time elapsed: 0.320 s
% 19.60/2.86 % (4490)Instructions burned: 1670 (million)
% 19.60/2.86 % (4490)------------------------------
% 19.60/2.86 % (4490)------------------------------
% 19.60/2.87 % (4502)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on Vampire---4 for (2975ds/643Mi)
% 19.60/2.89 % (4477)Instruction limit reached!
% 19.60/2.89 % (4477)------------------------------
% 19.60/2.89 % (4477)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.60/2.89 % (4477)Termination reason: Unknown
% 19.60/2.89 % (4477)Termination phase: Saturation
% 19.60/2.89
% 19.60/2.89 % (4477)Memory used [KB]: 10490
% 19.60/2.89 % (4477)Time elapsed: 0.645 s
% 19.60/2.89 % (4477)Instructions burned: 3373 (million)
% 19.60/2.89 % (4477)------------------------------
% 19.60/2.89 % (4477)------------------------------
% 19.60/2.90 % (4496)Instruction limit reached!
% 19.60/2.90 % (4496)------------------------------
% 19.60/2.90 % (4496)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.60/2.90 % (4496)Termination reason: Unknown
% 19.60/2.90 % (4496)Termination phase: Saturation
% 19.60/2.90
% 19.60/2.90 % (4496)Memory used [KB]: 8059
% 19.60/2.90 % (4496)Time elapsed: 0.192 s
% 19.60/2.90 % (4496)Instructions burned: 867 (million)
% 19.60/2.90 % (4496)------------------------------
% 19.60/2.90 % (4496)------------------------------
% 19.60/2.90 % (4503)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on Vampire---4 for (2974ds/865Mi)
% 20.29/2.91 % (4504)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on Vampire---4 for (2974ds/1174Mi)
% 20.29/2.93 % (4498)Instruction limit reached!
% 20.29/2.93 % (4498)------------------------------
% 20.29/2.93 % (4498)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.29/2.93 % (4498)Termination reason: Unknown
% 20.29/2.93 % (4498)Termination phase: Saturation
% 20.29/2.93
% 20.29/2.93 % (4498)Memory used [KB]: 6908
% 20.29/2.93 % (4498)Time elapsed: 0.185 s
% 20.29/2.93 % (4498)Instructions burned: 1004 (million)
% 20.29/2.93 % (4498)------------------------------
% 20.29/2.93 % (4498)------------------------------
% 20.29/2.94 % (4505)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on Vampire---4 for (2974ds/644Mi)
% 20.29/2.99 % (4500)Instruction limit reached!
% 20.29/2.99 % (4500)------------------------------
% 20.29/2.99 % (4500)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.29/2.99 % (4500)Termination reason: Unknown
% 20.29/2.99 % (4500)Termination phase: Saturation
% 20.29/2.99
% 20.29/2.99 % (4500)Memory used [KB]: 7931
% 20.29/2.99 % (4500)Time elapsed: 0.189 s
% 20.29/2.99 % (4500)Instructions burned: 957 (million)
% 20.29/2.99 % (4500)------------------------------
% 20.29/2.99 % (4500)------------------------------
% 20.68/3.00 % (4502)Instruction limit reached!
% 20.68/3.00 % (4502)------------------------------
% 20.68/3.00 % (4502)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.68/3.00 % (4502)Termination reason: Unknown
% 20.68/3.00 % (4502)Termination phase: Saturation
% 20.68/3.00
% 20.68/3.00 % (4502)Memory used [KB]: 7547
% 20.68/3.00 % (4502)Time elapsed: 0.125 s
% 20.68/3.00 % (4502)Instructions burned: 644 (million)
% 20.68/3.00 % (4506)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on Vampire---4 for (2973ds/1201Mi)
% 20.68/3.00 % (4502)------------------------------
% 20.68/3.00 % (4502)------------------------------
% 20.68/3.00 % (4501)Instruction limit reached!
% 20.68/3.00 % (4501)------------------------------
% 20.68/3.00 % (4501)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.68/3.00 % (4501)Termination reason: Unknown
% 20.68/3.00 % (4501)Termination phase: Saturation
% 20.68/3.00
% 20.68/3.00 % (4501)Memory used [KB]: 7803
% 20.68/3.00 % (4501)Time elapsed: 0.215 s
% 20.68/3.00 % (4501)Instructions burned: 580 (million)
% 20.68/3.00 % (4501)------------------------------
% 20.68/3.00 % (4501)------------------------------
% 20.68/3.00 % (4507)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on Vampire---4 for (2973ds/1046Mi)
% 20.68/3.01 % (4508)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on Vampire---4 for (2973ds/222Mi)
% 20.68/3.05 % (4508)Instruction limit reached!
% 20.68/3.05 % (4508)------------------------------
% 20.68/3.05 % (4508)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.68/3.05 % (4508)Termination reason: Unknown
% 20.68/3.05 % (4508)Termination phase: Saturation
% 20.68/3.05
% 20.68/3.05 % (4508)Memory used [KB]: 6524
% 20.68/3.05 % (4508)Time elapsed: 0.047 s
% 20.68/3.05 % (4508)Instructions burned: 223 (million)
% 20.68/3.05 % (4508)------------------------------
% 20.68/3.05 % (4508)------------------------------
% 20.68/3.06 % (4509)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 Vampire---4 for (2972ds/68Mi)
% 20.68/3.07 % (4505)Instruction limit reached!
% 20.68/3.07 % (4505)------------------------------
% 20.68/3.07 % (4505)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.68/3.07 % (4505)Termination reason: Unknown
% 20.68/3.07 % (4505)Termination phase: Saturation
% 20.68/3.07
% 20.68/3.07 % (4505)Memory used [KB]: 7547
% 20.68/3.07 % (4505)Time elapsed: 0.127 s
% 20.68/3.07 % (4505)Instructions burned: 647 (million)
% 20.68/3.07 % (4505)------------------------------
% 20.68/3.07 % (4505)------------------------------
% 20.68/3.07 % (4503)Instruction limit reached!
% 20.68/3.07 % (4503)------------------------------
% 20.68/3.07 % (4503)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.68/3.07 % (4503)Termination reason: Unknown
% 20.68/3.07 % (4503)Termination phase: Saturation
% 20.68/3.07
% 20.68/3.07 % (4503)Memory used [KB]: 7547
% 20.68/3.07 % (4503)Time elapsed: 0.165 s
% 20.68/3.07 % (4503)Instructions burned: 870 (million)
% 20.68/3.07 % (4503)------------------------------
% 20.68/3.07 % (4503)------------------------------
% 20.68/3.07 % (4510)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on Vampire---4 for (2972ds/454Mi)
% 20.68/3.07 % (4511)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on Vampire---4 for (2972ds/360Mi)
% 20.68/3.08 % (4509)Instruction limit reached!
% 20.68/3.08 % (4509)------------------------------
% 20.68/3.08 % (4509)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.68/3.08 % (4509)Termination reason: Unknown
% 20.68/3.08 % (4509)Termination phase: Property scanning
% 20.68/3.08
% 20.68/3.08 % (4509)Memory used [KB]: 1407
% 20.68/3.08 % (4509)Time elapsed: 0.017 s
% 20.68/3.08 % (4509)Instructions burned: 70 (million)
% 20.68/3.08 % (4509)------------------------------
% 20.68/3.08 % (4509)------------------------------
% 20.68/3.09 % (4512)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 Vampire---4 for (2972ds/157Mi)
% 21.42/3.12 % (4512)Instruction limit reached!
% 21.42/3.12 % (4512)------------------------------
% 21.42/3.12 % (4512)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 21.42/3.12 % (4512)Termination reason: Unknown
% 21.42/3.12 % (4512)Termination phase: Saturation
% 21.42/3.12
% 21.42/3.12 % (4512)Memory used [KB]: 6524
% 21.42/3.12 % (4512)Time elapsed: 0.035 s
% 21.42/3.12 % (4512)Instructions burned: 157 (million)
% 21.42/3.12 % (4512)------------------------------
% 21.42/3.12 % (4512)------------------------------
% 21.42/3.13 % (4513)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on Vampire---4 for (2972ds/5061Mi)
% 21.42/3.13 % (4504)Instruction limit reached!
% 21.42/3.13 % (4504)------------------------------
% 21.42/3.13 % (4504)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 21.42/3.13 % (4504)Termination reason: Unknown
% 21.42/3.13 % (4504)Termination phase: Saturation
% 21.42/3.13
% 21.42/3.13 % (4504)Memory used [KB]: 7803
% 21.42/3.13 % (4504)Time elapsed: 0.220 s
% 21.42/3.13 % (4504)Instructions burned: 1177 (million)
% 21.42/3.13 % (4504)------------------------------
% 21.42/3.13 % (4504)------------------------------
% 21.42/3.14 % (4514)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on Vampire---4 for (2972ds/2401Mi)
% 21.42/3.14 % (4511)Instruction limit reached!
% 21.42/3.14 % (4511)------------------------------
% 21.42/3.14 % (4511)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 21.42/3.14 % (4511)Termination reason: Unknown
% 21.42/3.14 % (4511)Termination phase: Saturation
% 21.42/3.14
% 21.42/3.14 % (4511)Memory used [KB]: 6652
% 21.42/3.14 % (4511)Time elapsed: 0.071 s
% 21.42/3.14 % (4511)Instructions burned: 363 (million)
% 21.42/3.14 % (4511)------------------------------
% 21.42/3.14 % (4511)------------------------------
% 21.42/3.15 % (4515)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on Vampire---4 for (2972ds/5798Mi)
% 21.42/3.16 % (4510)Instruction limit reached!
% 21.42/3.16 % (4510)------------------------------
% 21.42/3.16 % (4510)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 21.42/3.16 % (4510)Termination reason: Unknown
% 21.42/3.16 % (4510)Termination phase: Saturation
% 21.42/3.16
% 21.42/3.16 % (4510)Memory used [KB]: 11257
% 21.42/3.16 % (4510)Time elapsed: 0.089 s
% 21.42/3.16 % (4510)Instructions burned: 454 (million)
% 21.42/3.16 % (4510)------------------------------
% 21.42/3.16 % (4510)------------------------------
% 21.42/3.17 % (4516)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on Vampire---4 for (2971ds/346Mi)
% 21.42/3.20 % (4507)Instruction limit reached!
% 21.42/3.20 % (4507)------------------------------
% 21.42/3.20 % (4507)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 21.42/3.20 % (4507)Termination reason: Unknown
% 21.42/3.20 % (4507)Termination phase: Saturation
% 21.42/3.20
% 21.42/3.20 % (4507)Memory used [KB]: 7675
% 21.42/3.20 % (4507)Time elapsed: 0.196 s
% 21.42/3.20 % (4507)Instructions burned: 1047 (million)
% 21.42/3.20 % (4507)------------------------------
% 21.42/3.20 % (4507)------------------------------
% 22.26/3.21 % (4517)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on Vampire---4 for (2971ds/1321Mi)
% 22.26/3.22 % (4517)Refutation not found, incomplete strategy
% 22.26/3.22 % (4517)------------------------------
% 22.26/3.22 % (4517)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 22.26/3.22 % (4517)Termination reason: Refutation not found, incomplete strategy
% 22.26/3.22
% 22.26/3.22
% 22.26/3.22 % (4517)Memory used [KB]: 1407
% 22.26/3.22 % (4517)Time elapsed: 0.013 s
% 22.26/3.22 % (4517)Instructions burned: 47 (million)
% 22.26/3.22 % (4517)------------------------------
% 22.26/3.22 % (4517)------------------------------
% 22.26/3.23 % (4518)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on Vampire---4 for (2971ds/1312Mi)
% 22.26/3.24 % (4516)Instruction limit reached!
% 22.26/3.24 % (4516)------------------------------
% 22.26/3.24 % (4516)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 22.26/3.24 % (4516)Termination reason: Unknown
% 22.26/3.24 % (4516)Termination phase: Saturation
% 22.26/3.24
% 22.26/3.24 % (4516)Memory used [KB]: 6652
% 22.26/3.24 % (4516)Time elapsed: 0.070 s
% 22.26/3.24 % (4516)Instructions burned: 349 (million)
% 22.26/3.24 % (4516)------------------------------
% 22.26/3.24 % (4516)------------------------------
% 22.26/3.25 % (4519)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on Vampire---4 for (2971ds/672Mi)
% 22.54/3.35 % (4506)Instruction limit reached!
% 22.54/3.35 % (4506)------------------------------
% 22.54/3.35 % (4506)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 22.54/3.35 % (4506)Termination reason: Unknown
% 22.54/3.35 % (4506)Termination phase: Saturation
% 22.54/3.35
% 22.54/3.35 % (4506)Memory used [KB]: 10362
% 22.54/3.35 % (4506)Time elapsed: 0.351 s
% 22.54/3.35 % (4506)Instructions burned: 1202 (million)
% 22.54/3.35 % (4506)------------------------------
% 22.54/3.35 % (4506)------------------------------
% 22.54/3.35 % (4520)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=1897:si=on:rtra=on_0 on Vampire---4 for (2970ds/1897Mi)
% 22.54/3.37 % (4520)Refutation not found, incomplete strategy
% 22.54/3.37 % (4520)------------------------------
% 22.54/3.37 % (4520)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 22.54/3.37 % (4520)Termination reason: Refutation not found, incomplete strategy
% 22.54/3.37
% 22.54/3.37
% 22.54/3.37 % (4520)Memory used [KB]: 6140
% 22.54/3.37 % (4520)Time elapsed: 0.022 s
% 22.54/3.37 % (4520)Instructions burned: 87 (million)
% 22.54/3.37 % (4520)------------------------------
% 22.54/3.37 % (4520)------------------------------
% 22.54/3.38 % (4521)lrs+10_1:40_av=off:fde=unused:ntd=on:plsq=on:plsqc=2:plsqr=411915,1048576:sp=unary_frequency:tgt=full:i=1202:si=on:rtra=on_0 on Vampire---4 for (2969ds/1202Mi)
% 24.38/3.43 % (4519)Instruction limit reached!
% 24.38/3.43 % (4519)------------------------------
% 24.38/3.43 % (4519)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.38/3.43 % (4519)Termination reason: Unknown
% 24.38/3.43 % (4519)Termination phase: Saturation
% 24.38/3.43
% 24.38/3.43 % (4519)Memory used [KB]: 6140
% 24.38/3.43 % (4519)Time elapsed: 0.185 s
% 24.38/3.43 % (4519)Instructions burned: 676 (million)
% 24.38/3.43 % (4519)------------------------------
% 24.38/3.43 % (4519)------------------------------
% 24.38/3.44 % (4522)dis+21_1:1_au=on:cnfonf=lazy_pi_sigma_gen:hfsq=on:hfsqc=40:hfsqr=8,1:ntd=on:sos=on:sp=occurrence:ss=axioms:i=1493:si=on:rtra=on_0 on Vampire---4 for (2969ds/1493Mi)
% 24.38/3.47 % (4518)Instruction limit reached!
% 24.38/3.47 % (4518)------------------------------
% 24.38/3.47 % (4518)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.38/3.47 % (4518)Termination reason: Unknown
% 24.38/3.47 % (4518)Termination phase: Saturation
% 24.38/3.47
% 24.38/3.47 % (4518)Memory used [KB]: 7547
% 24.38/3.47 % (4518)Time elapsed: 0.243 s
% 24.38/3.47 % (4518)Instructions burned: 1316 (million)
% 24.38/3.47 % (4518)------------------------------
% 24.38/3.47 % (4518)------------------------------
% 24.38/3.48 % (4523)dis+1010_3:1_av=off:fde=unused:hud=10:nwc=10.0:s2a=on:ss=axioms:i=7679:si=on:rtra=on_0 on Vampire---4 for (2968ds/7679Mi)
% 24.38/3.49 % (4522)Refutation not found, incomplete strategy
% 24.38/3.49 % (4522)------------------------------
% 24.38/3.49 % (4522)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.38/3.49 % (4522)Termination reason: Refutation not found, incomplete strategy
% 24.38/3.49
% 24.38/3.49
% 24.38/3.49 % (4522)Memory used [KB]: 6652
% 24.38/3.49 % (4522)Time elapsed: 0.050 s
% 24.38/3.49 % (4522)Instructions burned: 231 (million)
% 24.38/3.49 % (4522)------------------------------
% 24.38/3.49 % (4522)------------------------------
% 24.38/3.49 % (4524)lrs+2_1:1024_anc=all:cnfonf=off:cs=on:e2e=on:nm=20:s2at=1.5:slsq=on:slsqr=1,2:spb=goal:i=340:si=on:rtra=on_0 on Vampire---4 for (2968ds/340Mi)
% 25.12/3.56 % (4524)Instruction limit reached!
% 25.12/3.56 % (4524)------------------------------
% 25.12/3.56 % (4524)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.12/3.56 % (4524)Termination reason: Unknown
% 25.12/3.56 % (4524)Termination phase: Saturation
% 25.12/3.56
% 25.12/3.56 % (4524)Memory used [KB]: 6780
% 25.12/3.56 % (4524)Time elapsed: 0.070 s
% 25.12/3.56 % (4524)Instructions burned: 341 (million)
% 25.12/3.56 % (4524)------------------------------
% 25.12/3.56 % (4524)------------------------------
% 25.12/3.57 % (4525)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=3672:si=on:rtra=on_0 on Vampire---4 for (2967ds/3672Mi)
% 25.69/3.63 % (4514)Instruction limit reached!
% 25.69/3.63 % (4514)------------------------------
% 25.69/3.63 % (4514)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.69/3.63 % (4514)Termination reason: Unknown
% 25.69/3.63 % (4514)Termination phase: Saturation
% 25.69/3.63
% 25.69/3.63 % (4514)Memory used [KB]: 4861
% 25.69/3.63 % (4514)Time elapsed: 0.501 s
% 25.69/3.63 % (4514)Instructions burned: 2404 (million)
% 25.69/3.63 % (4514)------------------------------
% 25.69/3.63 % (4514)------------------------------
% 25.69/3.64 % (4526)dis-1002_3:1_acc=model:bd=off:bsd=on:bsdmm=1:cnfonf=lazy_not_be_gen:fd=off:fe=off:ntd=on:nwc=10.0:piset=equals:plsq=on:plsqc=1:plsqr=32,1:sp=const_max:uhcvi=on:i=1535:si=on:rtra=on_0 on Vampire---4 for (2967ds/1535Mi)
% 26.13/3.76 % (4521)Instruction limit reached!
% 26.13/3.76 % (4521)------------------------------
% 26.13/3.76 % (4521)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 26.13/3.76 % (4521)Termination reason: Unknown
% 26.13/3.76 % (4521)Termination phase: Saturation
% 26.13/3.76
% 26.13/3.76 % (4521)Memory used [KB]: 3582
% 26.13/3.76 % (4521)Time elapsed: 0.379 s
% 26.13/3.76 % (4521)Instructions burned: 1202 (million)
% 26.13/3.76 % (4521)------------------------------
% 26.13/3.76 % (4521)------------------------------
% 26.13/3.77 % (4527)dis+10_16:1_hud=1:plsq=on:plsqc=1:plsqr=32,1:prag=on:sd=1:sgt=64:ss=axioms:i=4637:si=on:rtra=on_0 on Vampire---4 for (2966ds/4637Mi)
% 27.18/3.93 % (4526)Instruction limit reached!
% 27.18/3.93 % (4526)------------------------------
% 27.18/3.93 % (4526)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.18/3.93 % (4526)Termination reason: Unknown
% 27.18/3.93 % (4526)Termination phase: Saturation
% 27.18/3.93
% 27.18/3.93 % (4526)Memory used [KB]: 8059
% 27.18/3.93 % (4526)Time elapsed: 0.287 s
% 27.18/3.93 % (4526)Instructions burned: 1539 (million)
% 27.18/3.93 % (4526)------------------------------
% 27.18/3.93 % (4526)------------------------------
% 27.18/3.94 % (4528)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on Vampire---4 for (2964ds/3174Mi)
% 27.18/3.96 % (4411)Instruction limit reached!
% 27.18/3.96 % (4411)------------------------------
% 27.18/3.96 % (4411)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.18/3.96 % (4411)Termination reason: Unknown
% 27.18/3.96 % (4411)Termination phase: Saturation
% 27.18/3.96
% 27.18/3.96 % (4411)Memory used [KB]: 12537
% 27.18/3.96 % (4411)Time elapsed: 2.514 s
% 27.18/3.96 % (4411)Instructions burned: 8250 (million)
% 27.18/3.96 % (4411)------------------------------
% 27.18/3.96 % (4411)------------------------------
% 27.18/3.97 % (4529)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on Vampire---4 for (2964ds/307Mi)
% 27.77/4.03 % (4529)Instruction limit reached!
% 27.77/4.03 % (4529)------------------------------
% 27.77/4.03 % (4529)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.77/4.03 % (4529)Termination reason: Unknown
% 27.77/4.03 % (4529)Termination phase: Saturation
% 27.77/4.03
% 27.77/4.03 % (4529)Memory used [KB]: 6652
% 27.77/4.03 % (4529)Time elapsed: 0.063 s
% 27.77/4.03 % (4529)Instructions burned: 311 (million)
% 27.77/4.03 % (4529)------------------------------
% 27.77/4.03 % (4529)------------------------------
% 27.77/4.04 % (4530)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=3619:si=on:rtra=on_0 on Vampire---4 for (2963ds/3619Mi)
% 27.77/4.05 % (4530)Refutation not found, incomplete strategy
% 27.77/4.05 % (4530)------------------------------
% 27.77/4.05 % (4530)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.77/4.05 % (4530)Termination reason: Refutation not found, incomplete strategy
% 27.77/4.05
% 27.77/4.05
% 27.77/4.05 % (4530)Memory used [KB]: 5884
% 27.77/4.05 % (4530)Time elapsed: 0.012 s
% 27.77/4.05 % (4530)Instructions burned: 44 (million)
% 27.77/4.05 % (4530)------------------------------
% 27.77/4.05 % (4530)------------------------------
% 27.77/4.06 % (4531)lrs+1002_1:1_au=on:cbe=off:fde=none:ins=1:sp=const_max:i=2325:si=on:rtra=on_0 on Vampire---4 for (2963ds/2325Mi)
% 30.75/4.27 % (4494)Instruction limit reached!
% 30.75/4.27 % (4494)------------------------------
% 30.75/4.27 % (4494)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 30.75/4.27 % (4494)Termination reason: Unknown
% 30.75/4.27 % (4494)Termination phase: Saturation
% 30.75/4.27
% 30.75/4.27 % (4494)Memory used [KB]: 18677
% 30.75/4.27 % (4494)Time elapsed: 1.597 s
% 30.75/4.27 % (4494)Instructions burned: 6456 (million)
% 30.75/4.27 % (4494)------------------------------
% 30.75/4.27 % (4494)------------------------------
% 30.75/4.27 % (4513)Instruction limit reached!
% 30.75/4.27 % (4513)------------------------------
% 30.75/4.27 % (4513)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 30.75/4.27 % (4513)Termination reason: Unknown
% 30.75/4.27 % (4513)Termination phase: Saturation
% 30.75/4.27
% 30.75/4.27 % (4513)Memory used [KB]: 9850
% 30.75/4.27 % (4513)Time elapsed: 1.144 s
% 30.75/4.27 % (4513)Instructions burned: 5064 (million)
% 30.75/4.27 % (4513)------------------------------
% 30.75/4.27 % (4513)------------------------------
% 30.75/4.28 % (4532)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2341:si=on:rtra=on_0 on Vampire---4 for (2960ds/2341Mi)
% 30.75/4.28 % (4533)lrs+1010_1:16_apa=on:bsd=on:cnfonf=off:hud=10:sac=on:sos=on:ss=axioms:i=7257:si=on:rtra=on_0 on Vampire---4 for (2960ds/7257Mi)
% 31.32/4.30 % (4532)Refutation not found, incomplete strategy
% 31.32/4.30 % (4532)------------------------------
% 31.32/4.30 % (4532)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 31.32/4.30 % (4532)Termination reason: Refutation not found, incomplete strategy
% 31.32/4.30
% 31.32/4.30
% 31.32/4.30 % (4532)Memory used [KB]: 6140
% 31.32/4.30 % (4532)Time elapsed: 0.027 s
% 31.32/4.30 % (4532)Instructions burned: 104 (million)
% 31.32/4.30 % (4532)------------------------------
% 31.32/4.30 % (4532)------------------------------
% 31.32/4.31 % (4534)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=3710:si=on:rtra=on_0 on Vampire---4 for (2960ds/3710Mi)
% 31.92/4.38 % (4533)Refutation not found, incomplete strategy
% 31.92/4.38 % (4533)------------------------------
% 31.92/4.38 % (4533)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 31.92/4.38 % (4533)Termination reason: Refutation not found, incomplete strategy
% 31.92/4.38
% 31.92/4.38
% 31.92/4.38 % (4533)Memory used [KB]: 6268
% 31.92/4.38 % (4533)Time elapsed: 0.102 s
% 31.92/4.38 % (4533)Instructions burned: 444 (million)
% 31.92/4.38 % (4533)------------------------------
% 31.92/4.38 % (4533)------------------------------
% 31.92/4.39 % (4535)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=326:si=on:rtra=on_0 on Vampire---4 for (2959ds/326Mi)
% 32.19/4.42 % (4525)Instruction limit reached!
% 32.19/4.42 % (4525)------------------------------
% 32.19/4.42 % (4525)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 32.19/4.42 % (4525)Termination reason: Unknown
% 32.19/4.42 % (4525)Termination phase: Saturation
% 32.19/4.42
% 32.19/4.42 % (4525)Memory used [KB]: 13432
% 32.19/4.42 % (4525)Time elapsed: 0.846 s
% 32.19/4.42 % (4525)Instructions burned: 3674 (million)
% 32.19/4.42 % (4525)------------------------------
% 32.19/4.42 % (4525)------------------------------
% 32.19/4.42 % (4536)lrs+1010_1:64_au=on:c=on:e2e=on:flr=on:hfsq=on:hfsql=off:hfsqr=4,1:ins=1:ntd=on:sp=occurrence:i=1100:si=on:rtra=on_0 on Vampire---4 for (2959ds/1100Mi)
% 32.28/4.48 % (4535)Instruction limit reached!
% 32.28/4.48 % (4535)------------------------------
% 32.28/4.48 % (4535)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 32.28/4.48 % (4535)Termination reason: Unknown
% 32.28/4.48 % (4535)Termination phase: Saturation
% 32.28/4.48
% 32.28/4.48 % (4535)Memory used [KB]: 6140
% 32.28/4.48 % (4535)Time elapsed: 0.097 s
% 32.28/4.48 % (4535)Instructions burned: 327 (million)
% 32.28/4.48 % (4535)------------------------------
% 32.28/4.48 % (4535)------------------------------
% 32.28/4.49 % (4537)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on Vampire---4 for (2958ds/406Mi)
% 32.84/4.57 % (4515)Instruction limit reached!
% 32.84/4.57 % (4515)------------------------------
% 32.84/4.57 % (4515)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 32.84/4.57 % (4515)Termination reason: Unknown
% 32.84/4.57 % (4515)Termination phase: Saturation
% 32.84/4.57
% 32.84/4.57 % (4515)Memory used [KB]: 12792
% 32.84/4.57 % (4515)Time elapsed: 1.419 s
% 32.84/4.57 % (4515)Instructions burned: 5799 (million)
% 32.84/4.57 % (4515)------------------------------
% 32.84/4.57 % (4515)------------------------------
% 32.84/4.58 % (4538)dis+1010_1:1_aac=none:bd=preordered:e2e=on:fde=none:fe=axiom:nm=16:nwc=10.0:prag=on:i=1871:si=on:rtra=on_0 on Vampire---4 for (2958ds/1871Mi)
% 33.19/4.62 % (4537)Instruction limit reached!
% 33.19/4.62 % (4537)------------------------------
% 33.19/4.62 % (4537)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 33.19/4.62 % (4537)Termination reason: Unknown
% 33.19/4.62 % (4537)Termination phase: Saturation
% 33.19/4.62
% 33.19/4.62 % (4537)Memory used [KB]: 7291
% 33.19/4.62 % (4537)Time elapsed: 0.127 s
% 33.19/4.62 % (4537)Instructions burned: 406 (million)
% 33.19/4.62 % (4537)------------------------------
% 33.19/4.62 % (4537)------------------------------
% 33.19/4.62 % (4539)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1194:si=on:rtra=on_0 on Vampire---4 for (2957ds/1194Mi)
% 33.19/4.63 % (4536)Instruction limit reached!
% 33.19/4.63 % (4536)------------------------------
% 33.19/4.63 % (4536)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 33.19/4.63 % (4536)Termination reason: Unknown
% 33.19/4.63 % (4536)Termination phase: Saturation
% 33.19/4.63
% 33.19/4.63 % (4536)Memory used [KB]: 7419
% 33.19/4.63 % (4536)Time elapsed: 0.204 s
% 33.19/4.63 % (4536)Instructions burned: 1102 (million)
% 33.19/4.63 % (4536)------------------------------
% 33.19/4.63 % (4536)------------------------------
% 33.19/4.63 % (4540)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 Vampire---4 for (2957ds/474Mi)
% 34.83/4.73 % (4540)Instruction limit reached!
% 34.83/4.73 % (4540)------------------------------
% 34.83/4.73 % (4540)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 34.83/4.73 % (4540)Termination reason: Unknown
% 34.83/4.73 % (4540)Termination phase: Saturation
% 34.83/4.73
% 34.83/4.73 % (4540)Memory used [KB]: 6780
% 34.83/4.73 % (4540)Time elapsed: 0.094 s
% 34.83/4.73 % (4540)Instructions burned: 478 (million)
% 34.83/4.73 % (4540)------------------------------
% 34.83/4.73 % (4540)------------------------------
% 34.83/4.74 % (4541)dis+1010_1:1_au=on:cnfonf=lazy_gen:ins=3:plsq=on:plsqc=1:plsqr=15142123,262144:sp=reverse_arity:i=3115:si=on:rtra=on_0 on Vampire---4 for (2956ds/3115Mi)
% 34.83/4.76 % (4531)Instruction limit reached!
% 34.83/4.76 % (4531)------------------------------
% 34.83/4.76 % (4531)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 34.83/4.76 % (4531)Termination reason: Unknown
% 34.83/4.76 % (4531)Termination phase: Saturation
% 34.83/4.76
% 34.83/4.76 % (4531)Memory used [KB]: 8699
% 34.83/4.76 % (4531)Time elapsed: 0.702 s
% 34.83/4.76 % (4531)Instructions burned: 2327 (million)
% 34.83/4.76 % (4531)------------------------------
% 34.83/4.76 % (4531)------------------------------
% 34.83/4.77 % (4542)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=831:si=on:rtra=on_0 on Vampire---4 for (2956ds/831Mi)
% 34.83/4.78 % (4528)Instruction limit reached!
% 34.83/4.78 % (4528)------------------------------
% 34.83/4.78 % (4528)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 34.83/4.78 % (4528)Termination reason: Unknown
% 34.83/4.78 % (4528)Termination phase: Saturation
% 34.83/4.78
% 34.83/4.78 % (4528)Memory used [KB]: 7803
% 34.83/4.78 % (4528)Time elapsed: 0.858 s
% 34.83/4.78 % (4528)Instructions burned: 3174 (million)
% 34.83/4.78 % (4528)------------------------------
% 34.83/4.78 % (4528)------------------------------
% 34.83/4.79 % (4543)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on Vampire---4 for (2955ds/1188Mi)
% 35.36/4.84 % (4539)Instruction limit reached!
% 35.36/4.84 % (4539)------------------------------
% 35.36/4.84 % (4539)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 35.36/4.84 % (4539)Termination reason: Unknown
% 35.36/4.84 % (4539)Termination phase: Saturation
% 35.36/4.84
% 35.36/4.84 % (4539)Memory used [KB]: 7547
% 35.36/4.84 % (4539)Time elapsed: 0.222 s
% 35.36/4.84 % (4539)Instructions burned: 1194 (million)
% 35.36/4.84 % (4539)------------------------------
% 35.36/4.84 % (4539)------------------------------
% 35.36/4.85 % (4544)ott+1010_1:20_cnfonf=lazy_pi_sigma_gen:fe=axiom:plsq=on:plsqc=2:plsqr=32,1:sac=on:sos=all:i=2868:si=on:rtra=on_0 on Vampire---4 for (2955ds/2868Mi)
% 35.36/4.87 % (4527)Instruction limit reached!
% 35.36/4.87 % (4527)------------------------------
% 35.36/4.87 % (4527)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 35.36/4.87 % (4527)Termination reason: Unknown
% 35.36/4.87 % (4527)Termination phase: Saturation
% 35.36/4.87
% 35.36/4.87 % (4527)Memory used [KB]: 14839
% 35.36/4.87 % (4527)Time elapsed: 1.107 s
% 35.36/4.87 % (4527)Instructions burned: 4637 (million)
% 35.36/4.87 % (4527)------------------------------
% 35.36/4.87 % (4527)------------------------------
% 35.69/4.88 % (4545)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1516:si=on:rtra=on_0 on Vampire---4 for (2954ds/1516Mi)
% 35.69/4.93 % (4542)Instruction limit reached!
% 35.69/4.93 % (4542)------------------------------
% 35.69/4.93 % (4542)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 35.69/4.93 % (4542)Termination reason: Unknown
% 35.69/4.93 % (4542)Termination phase: Saturation
% 35.69/4.93
% 35.69/4.93 % (4542)Memory used [KB]: 7675
% 35.69/4.93 % (4542)Time elapsed: 0.160 s
% 35.69/4.93 % (4542)Instructions burned: 831 (million)
% 35.69/4.93 % (4542)------------------------------
% 35.69/4.93 % (4542)------------------------------
% 35.69/4.93 % (4546)lrs+1002_1:20_afp=1000:au=on:bsd=on:cnfonf=lazy_not_gen_be_off:sos=all:sp=const_max:i=2321:si=on:rtra=on_0 on Vampire---4 for (2954ds/2321Mi)
% 36.20/5.01 % (4543)Instruction limit reached!
% 36.20/5.01 % (4543)------------------------------
% 36.20/5.01 % (4543)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 36.20/5.01 % (4543)Termination reason: Unknown
% 36.20/5.01 % (4543)Termination phase: Saturation
% 36.20/5.01
% 36.20/5.01 % (4543)Memory used [KB]: 7547
% 36.20/5.01 % (4543)Time elapsed: 0.220 s
% 36.20/5.01 % (4543)Instructions burned: 1188 (million)
% 36.20/5.01 % (4543)------------------------------
% 36.20/5.01 % (4543)------------------------------
% 36.20/5.01 % (4547)dis+1010_1:1_au=on:bd=off:bsd=on:ixr=off:sp=const_max:i=2812:si=on:rtra=on_0 on Vampire---4 for (2953ds/2812Mi)
% 36.78/5.11 % (4538)Instruction limit reached!
% 36.78/5.11 % (4538)------------------------------
% 36.78/5.11 % (4538)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 36.78/5.11 % (4538)Termination reason: Unknown
% 36.78/5.11 % (4538)Termination phase: Saturation
% 36.78/5.11
% 36.78/5.11 % (4538)Memory used [KB]: 9466
% 36.78/5.11 % (4538)Time elapsed: 0.558 s
% 36.78/5.11 % (4538)Instructions burned: 1872 (million)
% 36.78/5.11 % (4538)------------------------------
% 36.78/5.11 % (4538)------------------------------
% 36.78/5.12 % (4548)dis+1002_8:1_bd=off:sd=1:sgt=16:ss=axioms:i=4604:si=on:rtra=on_0 on Vampire---4 for (2952ds/4604Mi)
% 36.78/5.15 % (4534)Instruction limit reached!
% 36.78/5.15 % (4534)------------------------------
% 36.78/5.15 % (4534)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 36.78/5.15 % (4534)Termination reason: Unknown
% 36.78/5.15 % (4534)Termination phase: Saturation
% 36.78/5.15
% 36.78/5.15 % (4534)Memory used [KB]: 10746
% 36.78/5.15 % (4534)Time elapsed: 0.839 s
% 36.78/5.15 % (4534)Instructions burned: 3710 (million)
% 36.78/5.15 % (4534)------------------------------
% 36.78/5.15 % (4534)------------------------------
% 36.78/5.16 % (4549)ott+1002_1:4_c=on:chr=on:cnfonf=lazy_not_be_gen:hud=10:nm=10:piset=all_but_not_eq:rp=on:spb=goal:uhcvi=on:i=2678:si=on:rtra=on_0 on Vampire---4 for (2952ds/2678Mi)
% 38.50/5.27 % (4545)Instruction limit reached!
% 38.50/5.27 % (4545)------------------------------
% 38.50/5.27 % (4545)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 38.50/5.27 % (4545)Termination reason: Unknown
% 38.50/5.27 % (4545)Termination phase: Saturation
% 38.50/5.27
% 38.50/5.27 % (4545)Memory used [KB]: 6524
% 38.50/5.27 % (4545)Time elapsed: 0.387 s
% 38.50/5.27 % (4545)Instructions burned: 1517 (million)
% 38.50/5.27 % (4545)------------------------------
% 38.50/5.27 % (4545)------------------------------
% 38.50/5.28 % (4550)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on Vampire---4 for (2950ds/643Mi)
% 39.39/5.30 % (4523)Instruction limit reached!
% 39.39/5.30 % (4523)------------------------------
% 39.39/5.30 % (4523)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 39.39/5.30 % (4523)Termination reason: Unknown
% 39.39/5.30 % (4523)Termination phase: Saturation
% 39.39/5.30
% 39.39/5.30 % (4523)Memory used [KB]: 2814
% 39.39/5.30 % (4523)Time elapsed: 1.829 s
% 39.39/5.30 % (4523)Instructions burned: 7681 (million)
% 39.39/5.30 % (4523)------------------------------
% 39.39/5.30 % (4523)------------------------------
% 39.39/5.31 % (4551)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=458:si=on:rtra=on_0 on Vampire---4 for (2950ds/458Mi)
% 39.52/5.40 % (4550)Instruction limit reached!
% 39.52/5.40 % (4550)------------------------------
% 39.52/5.40 % (4550)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 39.52/5.40 % (4550)Termination reason: Unknown
% 39.52/5.40 % (4550)Termination phase: Saturation
% 39.52/5.40
% 39.52/5.40 % (4550)Memory used [KB]: 6652
% 39.52/5.40 % (4550)Time elapsed: 0.124 s
% 39.52/5.40 % (4550)Instructions burned: 647 (million)
% 39.52/5.40 % (4550)------------------------------
% 39.52/5.40 % (4550)------------------------------
% 39.52/5.40 % (4551)Instruction limit reached!
% 39.52/5.40 % (4551)------------------------------
% 39.52/5.40 % (4551)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 39.52/5.40 % (4551)Termination reason: Unknown
% 39.52/5.40 % (4551)Termination phase: Saturation
% 39.52/5.40
% 39.52/5.40 % (4551)Memory used [KB]: 7547
% 39.52/5.40 % (4551)Time elapsed: 0.093 s
% 39.52/5.40 % (4551)Instructions burned: 461 (million)
% 39.52/5.40 % (4551)------------------------------
% 39.52/5.40 % (4551)------------------------------
% 39.52/5.41 % (4552)lrs+1010_1:1_anc=all_dependent:apa=on:au=on:bd=off:c=on:cnfonf=off:ntd=on:i=2546:si=on:rtra=on_0 on Vampire---4 for (2949ds/2546Mi)
% 39.52/5.41 % (4553)dis+21_1:1_acc=model:au=on:cnfonf=lazy_gen:ins=2:plsq=on:plsqc=1:plsqr=32,1:i=1432:si=on:rtra=on_0 on Vampire---4 for (2949ds/1432Mi)
% 40.33/5.42 % (4546)Instruction limit reached!
% 40.33/5.42 % (4546)------------------------------
% 40.33/5.42 % (4546)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 40.33/5.42 % (4546)Termination reason: Unknown
% 40.33/5.42 % (4546)Termination phase: Saturation
% 40.33/5.42
% 40.33/5.42 % (4546)Memory used [KB]: 8699
% 40.33/5.42 % (4546)Time elapsed: 0.491 s
% 40.33/5.42 % (4546)Instructions burned: 2321 (million)
% 40.33/5.42 % (4546)------------------------------
% 40.33/5.42 % (4546)------------------------------
% 40.33/5.43 % (4554)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=386:si=on:rtra=on_0 on Vampire---4 for (2949ds/386Mi)
% 40.33/5.43 % (4541)Instruction limit reached!
% 40.33/5.43 % (4541)------------------------------
% 40.33/5.43 % (4541)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 40.33/5.43 % (4541)Termination reason: Unknown
% 40.33/5.43 % (4541)Termination phase: Saturation
% 40.33/5.43
% 40.33/5.43 % (4541)Memory used [KB]: 10618
% 40.33/5.43 % (4541)Time elapsed: 0.721 s
% 40.33/5.43 % (4541)Instructions burned: 3116 (million)
% 40.33/5.43 % (4541)------------------------------
% 40.33/5.43 % (4541)------------------------------
% 40.33/5.44 % (4555)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on Vampire---4 for (2949ds/360Mi)
% 40.33/5.48 % (4544)Instruction limit reached!
% 40.33/5.48 % (4544)------------------------------
% 40.33/5.48 % (4544)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 40.33/5.48 % (4544)Termination reason: Unknown
% 40.33/5.48 % (4544)Termination phase: Saturation
% 40.33/5.48
% 40.33/5.48 % (4544)Memory used [KB]: 10234
% 40.33/5.48 % (4544)Time elapsed: 0.630 s
% 40.33/5.48 % (4544)Instructions burned: 2869 (million)
% 40.33/5.48 % (4544)------------------------------
% 40.33/5.48 % (4544)------------------------------
% 40.33/5.49 % (4556)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=5446:si=on:rtra=on_0 on Vampire---4 for (2948ds/5446Mi)
% 40.69/5.51 % (4554)Instruction limit reached!
% 40.69/5.51 % (4554)------------------------------
% 40.69/5.51 % (4554)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 40.69/5.51 % (4554)Termination reason: Unknown
% 40.69/5.51 % (4554)Termination phase: Saturation
% 40.69/5.51
% 40.69/5.51 % (4554)Memory used [KB]: 6652
% 40.69/5.51 % (4554)Time elapsed: 0.076 s
% 40.69/5.51 % (4554)Instructions burned: 390 (million)
% 40.69/5.51 % (4554)------------------------------
% 40.69/5.51 % (4554)------------------------------
% 40.69/5.51 % (4557)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=2573:si=on:rtra=on_0 on Vampire---4 for (2948ds/2573Mi)
% 40.69/5.51 % (4555)Instruction limit reached!
% 40.69/5.51 % (4555)------------------------------
% 40.69/5.51 % (4555)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 40.69/5.51 % (4555)Termination reason: Unknown
% 40.69/5.51 % (4555)Termination phase: Saturation
% 40.69/5.51
% 40.69/5.51 % (4555)Memory used [KB]: 7547
% 40.69/5.51 % (4555)Time elapsed: 0.075 s
% 40.69/5.51 % (4555)Instructions burned: 365 (million)
% 40.69/5.51 % (4555)------------------------------
% 40.69/5.51 % (4555)------------------------------
% 40.69/5.52 % (4558)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=2655:si=on:rtra=on_0 on Vampire---4 for (2948ds/2655Mi)
% 41.21/5.62 % (4547)Instruction limit reached!
% 41.21/5.62 % (4547)------------------------------
% 41.21/5.62 % (4547)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 41.21/5.62 % (4547)Termination reason: Unknown
% 41.21/5.62 % (4547)Termination phase: Saturation
% 41.21/5.62
% 41.21/5.62 % (4547)Memory used [KB]: 11257
% 41.21/5.62 % (4547)Time elapsed: 0.607 s
% 41.21/5.62 % (4547)Instructions burned: 2814 (million)
% 41.21/5.62 % (4547)------------------------------
% 41.21/5.62 % (4547)------------------------------
% 41.21/5.63 % (4559)dis+1002_16:1_apa=on:au=on:av=off:cnfonf=off:e2e=on:nm=0:nwc=10.0:i=2781:si=on:rtra=on_0 on Vampire---4 for (2947ds/2781Mi)
% 41.21/5.68 % (4553)Instruction limit reached!
% 41.21/5.68 % (4553)------------------------------
% 41.21/5.68 % (4553)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 41.21/5.68 % (4553)Termination reason: Unknown
% 41.21/5.68 % (4553)Termination phase: Saturation
% 41.21/5.68
% 41.21/5.68 % (4553)Memory used [KB]: 7675
% 41.21/5.68 % (4553)Time elapsed: 0.265 s
% 41.21/5.68 % (4553)Instructions burned: 1432 (million)
% 41.21/5.68 % (4553)------------------------------
% 41.21/5.68 % (4553)------------------------------
% 41.21/5.68 % (4560)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on Vampire---4 for (2946ds/307Mi)
% 41.69/5.74 % (4549)Instruction limit reached!
% 41.69/5.74 % (4549)------------------------------
% 41.69/5.74 % (4549)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 41.69/5.74 % (4549)Termination reason: Unknown
% 41.69/5.74 % (4549)Termination phase: Saturation
% 41.69/5.74
% 41.69/5.74 % (4549)Memory used [KB]: 9083
% 41.69/5.74 % (4549)Time elapsed: 0.587 s
% 41.69/5.74 % (4549)Instructions burned: 2680 (million)
% 41.69/5.74 % (4549)------------------------------
% 41.69/5.74 % (4549)------------------------------
% 41.69/5.75 % (4560)Instruction limit reached!
% 41.69/5.75 % (4560)------------------------------
% 41.69/5.75 % (4560)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 41.69/5.75 % (4560)Termination reason: Unknown
% 41.69/5.75 % (4560)Termination phase: Saturation
% 41.69/5.75
% 41.69/5.75 % (4560)Memory used [KB]: 6780
% 41.69/5.75 % (4560)Time elapsed: 0.064 s
% 41.69/5.75 % (4560)Instructions burned: 308 (million)
% 41.69/5.75 % (4560)------------------------------
% 41.69/5.75 % (4560)------------------------------
% 41.69/5.75 % (4561)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=1548:si=on:rtra=on_0 on Vampire---4 for (2946ds/1548Mi)
% 41.69/5.75 % (4562)lrs+10_1:3_alpa=true:hud=3:ins=1:ntd=on:plsq=on:plsqc=1:plsqr=32,1:prag=on:s2a=on:s2agt=10:i=5214:si=on:rtra=on_0 on Vampire---4 for (2946ds/5214Mi)
% 44.23/5.95 % (4548)Refutation not found, incomplete strategy
% 44.23/5.95 % (4548)------------------------------
% 44.23/5.95 % (4548)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 44.23/5.95 % (4548)Termination reason: Refutation not found, incomplete strategy
% 44.23/5.95
% 44.23/5.95
% 44.23/5.95 % (4548)Memory used [KB]: 10106
% 44.23/5.95 % (4548)Time elapsed: 0.828 s
% 44.23/5.95 % (4548)Instructions burned: 4112 (million)
% 44.23/5.95 % (4548)------------------------------
% 44.23/5.95 % (4548)------------------------------
% 44.23/5.96 % (4563)dis+21_1:1_aac=none:bsr=on:nwc=3.0:s2a=on:i=3201:si=on:rtra=on_0 on Vampire---4 for (2944ds/3201Mi)
% 44.98/6.06 % (4561)Refutation not found, incomplete strategy
% 44.98/6.06 % (4561)------------------------------
% 44.98/6.06 % (4561)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 44.98/6.06 % (4561)Termination reason: Refutation not found, incomplete strategy
% 44.98/6.06
% 44.98/6.06
% 44.98/6.06 % (4561)Memory used [KB]: 6652
% 44.98/6.06 % (4561)Time elapsed: 0.304 s
% 44.98/6.06 % (4561)Instructions burned: 1261 (million)
% 44.98/6.06 % (4561)------------------------------
% 44.98/6.06 % (4561)------------------------------
% 44.98/6.06 % (4564)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on Vampire---4 for (2943ds/454Mi)
% 44.98/6.08 % (4557)Instruction limit reached!
% 44.98/6.08 % (4557)------------------------------
% 44.98/6.08 % (4557)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 44.98/6.08 % (4557)Termination reason: Unknown
% 44.98/6.08 % (4557)Termination phase: Saturation
% 44.98/6.08
% 44.98/6.08 % (4557)Memory used [KB]: 9850
% 44.98/6.08 % (4557)Time elapsed: 0.562 s
% 44.98/6.08 % (4557)Instructions burned: 2574 (million)
% 44.98/6.08 % (4557)------------------------------
% 44.98/6.08 % (4557)------------------------------
% 44.98/6.09 % (4565)lrs+1002_1:32_au=on:ins=2:nm=16:ntd=on:piset=all_but_not_eq:sp=occurrence:i=3049:si=on:rtra=on_0 on Vampire---4 for (2942ds/3049Mi)
% 44.98/6.09 % (4552)Instruction limit reached!
% 44.98/6.09 % (4552)------------------------------
% 44.98/6.09 % (4552)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 44.98/6.09 % (4552)Termination reason: Unknown
% 44.98/6.09 % (4552)Termination phase: Saturation
% 44.98/6.09
% 44.98/6.09 % (4552)Memory used [KB]: 10234
% 44.98/6.09 % (4552)Time elapsed: 0.687 s
% 44.98/6.09 % (4552)Instructions burned: 2548 (million)
% 44.98/6.09 % (4552)------------------------------
% 44.98/6.09 % (4552)------------------------------
% 45.57/6.10 % (4566)lrs+1010_1:1_bd=preordered:cnfonf=off:e2e=on:kws=inv_precedence:lwlo=on:sd=2:ss=axioms:i=7311:si=on:rtra=on_0 on Vampire---4 for (2942ds/7311Mi)
% 45.57/6.10 % (4558)Instruction limit reached!
% 45.57/6.10 % (4558)------------------------------
% 45.57/6.10 % (4558)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 45.57/6.10 % (4558)Termination reason: Unknown
% 45.57/6.10 % (4558)Termination phase: Saturation
% 45.57/6.10
% 45.57/6.10 % (4558)Memory used [KB]: 5756
% 45.57/6.10 % (4558)Time elapsed: 0.580 s
% 45.57/6.10 % (4558)Instructions burned: 2657 (million)
% 45.57/6.10 % (4558)------------------------------
% 45.57/6.10 % (4558)------------------------------
% 45.57/6.11 % (4567)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=6804:si=on:rtra=on_0 on Vampire---4 for (2942ds/6804Mi)
% 45.57/6.12 % (4567)Refutation not found, incomplete strategy
% 45.57/6.12 % (4567)------------------------------
% 45.57/6.12 % (4567)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 45.57/6.12 % (4567)Termination reason: Refutation not found, incomplete strategy
% 45.57/6.12
% 45.57/6.12
% 45.57/6.12 % (4567)Memory used [KB]: 5884
% 45.57/6.12 % (4567)Time elapsed: 0.013 s
% 45.57/6.12 % (4567)Instructions burned: 49 (million)
% 45.57/6.12 % (4567)------------------------------
% 45.57/6.12 % (4567)------------------------------
% 45.57/6.13 % (4568)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1683:si=on:rtra=on_0 on Vampire---4 for (2942ds/1683Mi)
% 45.57/6.15 % (4564)Instruction limit reached!
% 45.57/6.15 % (4564)------------------------------
% 45.57/6.15 % (4564)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 45.57/6.15 % (4564)Termination reason: Unknown
% 45.57/6.15 % (4564)Termination phase: Saturation
% 45.57/6.15
% 45.57/6.15 % (4564)Memory used [KB]: 11257
% 45.57/6.15 % (4564)Time elapsed: 0.090 s
% 45.57/6.15 % (4564)Instructions burned: 457 (million)
% 45.57/6.15 % (4564)------------------------------
% 45.57/6.15 % (4564)------------------------------
% 45.57/6.16 % (4569)lrs+10_8:1_au=on:av=off:bd=off:cs=on:e2e=on:hfsq=on:hfsqc=50:hfsql=off:nm=0:i=4688:si=on:rtra=on_0 on Vampire---4 for (2942ds/4688Mi)
% 46.05/6.27 % (4566)Refutation not found, incomplete strategy
% 46.05/6.27 % (4566)------------------------------
% 46.05/6.27 % (4566)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 46.05/6.27 % (4566)Termination reason: Refutation not found, incomplete strategy
% 46.05/6.27
% 46.05/6.27
% 46.05/6.27 % (4566)Memory used [KB]: 6268
% 46.05/6.27 % (4566)Time elapsed: 0.166 s
% 46.05/6.27 % (4566)Instructions burned: 658 (million)
% 46.05/6.27 % (4566)------------------------------
% 46.05/6.27 % (4566)------------------------------
% 46.05/6.27 % (4570)dis-1_1:1_amm=off:au=on:cbe=off:spb=intro:i=2207:si=on:rtra=on_0 on Vampire---4 for (2940ds/2207Mi)
% 47.49/6.36 % (4559)Instruction limit reached!
% 47.49/6.36 % (4559)------------------------------
% 47.49/6.36 % (4559)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 47.49/6.36 % (4559)Termination reason: Unknown
% 47.49/6.36 % (4559)Termination phase: Saturation
% 47.49/6.36
% 47.49/6.36 % (4559)Memory used [KB]: 4221
% 47.49/6.36 % (4559)Time elapsed: 0.730 s
% 47.49/6.36 % (4559)Instructions burned: 2783 (million)
% 47.49/6.36 % (4559)------------------------------
% 47.49/6.36 % (4559)------------------------------
% 47.49/6.37 % (4571)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=8216:si=on:rtra=on_0 on Vampire---4 for (2940ds/8216Mi)
% 49.47/6.64 % (4568)Instruction limit reached!
% 49.47/6.64 % (4568)------------------------------
% 49.47/6.64 % (4568)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 49.47/6.64 % (4568)Termination reason: Unknown
% 49.47/6.64 % (4568)Termination phase: Saturation
% 49.47/6.64
% 49.47/6.64 % (4568)Memory used [KB]: 9083
% 49.47/6.64 % (4568)Time elapsed: 0.511 s
% 49.47/6.64 % (4568)Instructions burned: 1685 (million)
% 49.47/6.64 % (4568)------------------------------
% 49.47/6.64 % (4568)------------------------------
% 49.47/6.65 % (4572)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=430:si=on:rtra=on_0 on Vampire---4 for (2937ds/430Mi)
% 49.47/6.67 % (4563)Instruction limit reached!
% 49.47/6.67 % (4563)------------------------------
% 49.47/6.67 % (4563)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 49.47/6.67 % (4563)Termination reason: Unknown
% 49.47/6.67 % (4563)Termination phase: Saturation
% 49.47/6.67
% 49.47/6.67 % (4563)Memory used [KB]: 12281
% 49.47/6.67 % (4563)Time elapsed: 0.718 s
% 49.47/6.67 % (4563)Instructions burned: 3202 (million)
% 49.47/6.67 % (4563)------------------------------
% 49.47/6.67 % (4563)------------------------------
% 49.47/6.68 % (4573)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=2012:si=on:rtra=on_0 on Vampire---4 for (2936ds/2012Mi)
% 50.20/6.72 % (4570)Instruction limit reached!
% 50.20/6.72 % (4570)------------------------------
% 50.20/6.72 % (4570)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 50.20/6.72 % (4570)Termination reason: Unknown
% 50.20/6.72 % (4570)Termination phase: Saturation
% 50.20/6.72
% 50.20/6.72 % (4570)Memory used [KB]: 9210
% 50.20/6.72 % (4570)Time elapsed: 0.449 s
% 50.20/6.72 % (4570)Instructions burned: 2210 (million)
% 50.20/6.72 % (4570)------------------------------
% 50.20/6.72 % (4570)------------------------------
% 50.20/6.73 % (4574)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=631:si=on:rtra=on_0 on Vampire---4 for (2936ds/631Mi)
% 50.20/6.73 % (4572)Instruction limit reached!
% 50.20/6.73 % (4572)------------------------------
% 50.20/6.73 % (4572)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 50.20/6.73 % (4572)Termination reason: Unknown
% 50.20/6.73 % (4572)Termination phase: Saturation
% 50.20/6.73
% 50.20/6.73 % (4572)Memory used [KB]: 6780
% 50.20/6.73 % (4572)Time elapsed: 0.085 s
% 50.20/6.73 % (4572)Instructions burned: 432 (million)
% 50.20/6.73 % (4572)------------------------------
% 50.20/6.73 % (4572)------------------------------
% 50.20/6.74 % (4575)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=8785:si=on:rtra=on_0 on Vampire---4 for (2936ds/8785Mi)
% 50.71/6.80 % (4556)Instruction limit reached!
% 50.71/6.80 % (4556)------------------------------
% 50.71/6.80 % (4556)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 50.71/6.80 % (4556)Termination reason: Unknown
% 50.71/6.80 % (4556)Termination phase: Saturation
% 50.71/6.80
% 50.71/6.80 % (4556)Memory used [KB]: 16758
% 50.71/6.80 % (4556)Time elapsed: 1.317 s
% 50.71/6.80 % (4556)Instructions burned: 5446 (million)
% 50.71/6.80 % (4556)------------------------------
% 50.71/6.80 % (4556)------------------------------
% 50.71/6.81 % (4576)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=739:si=on:rtra=on_0 on Vampire---4 for (2935ds/739Mi)
% 50.71/6.82 % (4565)Refutation not found, non-redundant clauses discarded% (4565)------------------------------
% 50.71/6.82 % (4565)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 50.71/6.82 % (4565)Termination reason: Refutation not found, non-redundant clauses discarded
% 50.71/6.82
% 50.71/6.82 % (4565)Memory used [KB]: 11129
% 50.71/6.82 % (4565)Time elapsed: 0.750 s
% 50.71/6.82 % (4565)Instructions burned: 3037 (million)
% 50.71/6.82 % (4565)------------------------------
% 50.71/6.82 % (4565)------------------------------
% 50.71/6.83 % (4577)dis+1002_1:1024_fe=off:hud=5:prag=on:i=5473:si=on:rtra=on_0 on Vampire---4 for (2935ds/5473Mi)
% 50.71/6.85 % (4574)Instruction limit reached!
% 50.71/6.85 % (4574)------------------------------
% 50.71/6.85 % (4574)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 50.71/6.85 % (4574)Termination reason: Unknown
% 50.71/6.85 % (4574)Termination phase: Saturation
% 50.71/6.85
% 50.71/6.85 % (4574)Memory used [KB]: 7547
% 50.71/6.85 % (4574)Time elapsed: 0.124 s
% 50.71/6.85 % (4574)Instructions burned: 633 (million)
% 50.71/6.85 % (4574)------------------------------
% 50.71/6.85 % (4574)------------------------------
% 50.71/6.86 % (4578)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=43570:si=on:rtra=on_0 on Vampire---4 for (2935ds/43570Mi)
% 50.71/6.88 % (4578)Refutation not found, incomplete strategy
% 50.71/6.88 % (4578)------------------------------
% 50.71/6.88 % (4578)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 50.71/6.88 % (4578)Termination reason: Refutation not found, incomplete strategy
% 50.71/6.88
% 50.71/6.88
% 50.71/6.88 % (4578)Memory used [KB]: 6140
% 50.71/6.88 % (4578)Time elapsed: 0.017 s
% 50.71/6.88 % (4578)Instructions burned: 66 (million)
% 50.71/6.88 % (4578)------------------------------
% 50.71/6.88 % (4578)------------------------------
% 50.71/6.88 % (4579)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=8382:si=on:rtra=on_0 on Vampire---4 for (2934ds/8382Mi)
% 51.26/7.00 % (4562)Instruction limit reached!
% 51.26/7.00 % (4562)------------------------------
% 51.26/7.00 % (4562)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 51.26/7.00 % (4562)Termination reason: Unknown
% 51.26/7.00 % (4562)Termination phase: Saturation
% 51.26/7.00
% 51.26/7.00 % (4562)Memory used [KB]: 15991
% 51.26/7.00 % (4562)Time elapsed: 1.240 s
% 51.26/7.00 % (4562)Instructions burned: 5215 (million)
% 51.26/7.00 % (4562)------------------------------
% 51.26/7.00 % (4562)------------------------------
% 51.26/7.01 % (4580)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=407:si=on:rtra=on_0 on Vampire---4 for (2933ds/407Mi)
% 51.26/7.04 % (4576)Instruction limit reached!
% 51.26/7.04 % (4576)------------------------------
% 51.26/7.04 % (4576)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 51.26/7.04 % (4576)Termination reason: Unknown
% 51.26/7.04 % (4576)Termination phase: Saturation
% 51.26/7.04
% 51.26/7.04 % (4576)Memory used [KB]: 7291
% 51.26/7.04 % (4576)Time elapsed: 0.227 s
% 51.26/7.04 % (4576)Instructions burned: 740 (million)
% 51.26/7.04 % (4576)------------------------------
% 51.26/7.04 % (4576)------------------------------
% 51.26/7.05 % (4581)lrs+10_1:50_cbe=off:cnfonf=lazy_pi_sigma_gen:fe=off:hud=5:plsq=on:plsqr=1,32:sos=all:i=2971:si=on:rtra=on_0 on Vampire---4 for (2933ds/2971Mi)
% 51.62/7.09 % (4580)Instruction limit reached!
% 51.62/7.09 % (4580)------------------------------
% 51.62/7.09 % (4580)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 51.62/7.09 % (4580)Termination reason: Unknown
% 51.62/7.09 % (4580)Termination phase: Saturation
% 51.62/7.09
% 51.62/7.09 % (4580)Memory used [KB]: 6780
% 51.62/7.09 % (4580)Time elapsed: 0.083 s
% 51.62/7.09 % (4580)Instructions burned: 409 (million)
% 51.62/7.09 % (4580)------------------------------
% 51.62/7.09 % (4580)------------------------------
% 51.62/7.10 % (4582)lrs+1002_1:1_aac=none:bd=off:e2e=on:fde=none:fe=off:piset=or:prag=on:rawr=on:sos=on:updr=off:i=9822:si=on:rtra=on_0 on Vampire---4 for (2932ds/9822Mi)
% 53.80/7.11 % (4573)Instruction limit reached!
% 53.80/7.11 % (4573)------------------------------
% 53.80/7.11 % (4573)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 53.80/7.11 % (4573)Termination reason: Unknown
% 53.80/7.11 % (4573)Termination phase: Saturation
% 53.80/7.11
% 53.80/7.11 % (4573)Memory used [KB]: 13816
% 53.80/7.11 % (4573)Time elapsed: 0.426 s
% 53.80/7.11 % (4573)Instructions burned: 2014 (million)
% 53.80/7.11 % (4573)------------------------------
% 53.80/7.11 % (4573)------------------------------
% 53.80/7.11 % (4582)Refutation not found, incomplete strategy
% 53.80/7.11 % (4582)------------------------------
% 53.80/7.11 % (4582)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 53.80/7.11 % (4582)Termination reason: Refutation not found, incomplete strategy
% 53.80/7.11
% 53.80/7.11
% 53.80/7.11 % (4582)Memory used [KB]: 6012
% 53.80/7.11 % (4582)Time elapsed: 0.038 s
% 53.80/7.11 % (4582)Instructions burned: 43 (million)
% 53.80/7.11 % (4582)------------------------------
% 53.80/7.11 % (4582)------------------------------
% 53.90/7.11 % (4583)dis+10_5:1_av=off:ntd=on:s2a=on:s2at=3.0:sgt=16:sp=unary_frequency:ss=axioms:i=8425:si=on:rtra=on_0 on Vampire---4 for (2932ds/8425Mi)
% 53.90/7.12 % (4584)lrs+30_1:1_aac=none:au=on:cbe=off:cs=on:nm=2:rawr=on:sos=on:i=3107:si=on:rtra=on_0 on Vampire---4 for (2932ds/3107Mi)
% 56.26/7.53 % (4569)Instruction limit reached!
% 56.26/7.53 % (4569)------------------------------
% 56.26/7.53 % (4569)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 56.26/7.53 % (4569)Termination reason: Unknown
% 56.26/7.53 % (4569)Termination phase: Saturation
% 56.26/7.53
% 56.26/7.53 % (4569)Memory used [KB]: 20724
% 56.26/7.53 % (4569)Time elapsed: 1.369 s
% 56.26/7.53 % (4569)Instructions burned: 4690 (million)
% 56.26/7.53 % (4569)------------------------------
% 56.26/7.53 % (4569)------------------------------
% 56.26/7.54 % (4585)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=7967:si=on:rtra=on_0 on Vampire---4 for (2928ds/7967Mi)
% 57.23/7.70 % (4581)Instruction limit reached!
% 57.23/7.70 % (4581)------------------------------
% 57.23/7.70 % (4581)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 57.23/7.70 % (4581)Termination reason: Unknown
% 57.23/7.70 % (4581)Termination phase: Saturation
% 57.23/7.70
% 57.23/7.70 % (4581)Memory used [KB]: 10490
% 57.23/7.70 % (4581)Time elapsed: 0.678 s
% 57.23/7.70 % (4581)Instructions burned: 2973 (million)
% 57.23/7.70 % (4581)------------------------------
% 57.23/7.70 % (4581)------------------------------
% 57.23/7.71 % (4586)lrs+1010_10:959_abs=on:acc=on:bd=off:ccuc=small_ones:cha=on:cnfonf=lazy_simp:fd=preordered:fe=off:hud=3:ile=on:kws=inv_frequency:nm=2:piset=and:sd=5:sp=frequency:spb=goal_then_units:ss=axioms:st=4.5:i=3629:si=on:rtra=on_0 on Vampire---4 for (2926ds/3629Mi)
% 57.23/7.71 % (4584)Instruction limit reached!
% 57.23/7.71 % (4584)------------------------------
% 57.23/7.71 % (4584)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 57.23/7.71 % (4584)Termination reason: Unknown
% 57.23/7.71 % (4584)Termination phase: Saturation
% 57.23/7.71
% 57.23/7.71 % (4584)Memory used [KB]: 9850
% 57.23/7.71 % (4584)Time elapsed: 0.595 s
% 57.23/7.71 % (4584)Instructions burned: 3111 (million)
% 57.23/7.71 % (4584)------------------------------
% 57.23/7.71 % (4584)------------------------------
% 57.23/7.72 % (4587)lrs+1010_1:1024_au=on:fe=axiom:lwlo=on:nm=0:ntd=on:nwc=10.0:spb=non_intro:uhcvi=on:i=939:si=on:rtra=on_0 on Vampire---4 for (2926ds/939Mi)
% 60.03/7.90 % (4587)Instruction limit reached!
% 60.03/7.90 % (4587)------------------------------
% 60.03/7.90 % (4587)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 60.03/7.90 % (4587)Termination reason: Unknown
% 60.03/7.90 % (4587)Termination phase: Saturation
% 60.03/7.90
% 60.03/7.90 % (4587)Memory used [KB]: 6908
% 60.03/7.90 % (4587)Time elapsed: 0.180 s
% 60.03/7.90 % (4587)Instructions burned: 941 (million)
% 60.03/7.90 % (4587)------------------------------
% 60.03/7.90 % (4587)------------------------------
% 60.20/7.91 % (4588)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on Vampire---4 for (2924ds/1188Mi)
% 61.46/8.13 % (4588)Instruction limit reached!
% 61.46/8.13 % (4588)------------------------------
% 61.46/8.13 % (4588)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 61.46/8.13 % (4588)Termination reason: Unknown
% 61.46/8.13 % (4588)Termination phase: Saturation
% 61.46/8.13
% 61.46/8.13 % (4588)Memory used [KB]: 7675
% 61.46/8.13 % (4588)Time elapsed: 0.224 s
% 61.46/8.13 % (4588)Instructions burned: 1191 (million)
% 61.46/8.13 % (4588)------------------------------
% 61.46/8.13 % (4588)------------------------------
% 61.46/8.14 % (4589)dis+21_3:2_avsq=on:cbe=off:e2e=on:flr=on:ile=on:nwc=5.0:piset=or:rawr=on:sp=occurrence:i=3205:si=on:rtra=on_0 on Vampire---4 for (2922ds/3205Mi)
% 62.28/8.17 % (4577)Instruction limit reached!
% 62.28/8.17 % (4577)------------------------------
% 62.28/8.17 % (4577)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 62.28/8.17 % (4577)Termination reason: Unknown
% 62.28/8.17 % (4577)Termination phase: Saturation
% 62.28/8.17
% 62.28/8.17 % (4577)Memory used [KB]: 17014
% 62.28/8.17 % (4577)Time elapsed: 1.338 s
% 62.28/8.17 % (4577)Instructions burned: 5473 (million)
% 62.28/8.17 % (4577)------------------------------
% 62.28/8.17 % (4577)------------------------------
% 62.35/8.18 % (4590)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on Vampire---4 for (2921ds/865Mi)
% 63.15/8.35 % (4590)Instruction limit reached!
% 63.15/8.35 % (4590)------------------------------
% 63.15/8.35 % (4590)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 63.15/8.35 % (4590)Termination reason: Unknown
% 63.15/8.35 % (4590)Termination phase: Saturation
% 63.15/8.35
% 63.15/8.35 % (4590)Memory used [KB]: 7547
% 63.15/8.35 % (4590)Time elapsed: 0.168 s
% 63.15/8.35 % (4590)Instructions burned: 870 (million)
% 63.15/8.35 % (4590)------------------------------
% 63.15/8.35 % (4590)------------------------------
% 63.15/8.36 % (4591)ott+1002_1:1_au=on:bd=off:cbe=off:cha=on:cnfonf=lazy_pi_sigma_gen:fd=off:fe=off:ntd=on:sp=const_frequency:i=7469:si=on:rtra=on_0 on Vampire---4 for (2920ds/7469Mi)
% 63.76/8.47 % (4571)Instruction limit reached!
% 63.76/8.47 % (4571)------------------------------
% 63.76/8.47 % (4571)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 63.76/8.47 % (4571)Termination reason: Unknown
% 63.76/8.47 % (4571)Termination phase: Saturation
% 63.76/8.47
% 63.76/8.47 % (4571)Memory used [KB]: 13560
% 63.76/8.47 % (4571)Time elapsed: 2.105 s
% 63.76/8.47 % (4571)Instructions burned: 8218 (million)
% 63.76/8.47 % (4571)------------------------------
% 63.76/8.47 % (4571)------------------------------
% 64.75/8.48 % (4592)dis+10_1:10_bd=preordered:e2e=on:fde=none:fe=axiom:hud=3:kws=precedence:nwc=3.0:prag=on:sp=const_max:tgt=full:i=4165:si=on:rtra=on_0 on Vampire---4 for (2918ds/4165Mi)
% 64.83/8.51 % (4586)Instruction limit reached!
% 64.83/8.51 % (4586)------------------------------
% 64.83/8.51 % (4586)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 64.83/8.51 % (4586)Termination reason: Unknown
% 64.83/8.51 % (4586)Termination phase: Saturation
% 64.83/8.51
% 64.83/8.51 % (4586)Memory used [KB]: 10234
% 64.83/8.51 % (4586)Time elapsed: 0.802 s
% 64.83/8.51 % (4586)Instructions burned: 3633 (million)
% 64.83/8.51 % (4586)------------------------------
% 64.83/8.51 % (4586)------------------------------
% 64.83/8.51 % (4585)First to succeed.
% 65.03/8.52 % (4593)dis+1010_1:1_au=on:avsq=on:cnfonf=lazy_simp:fsr=off:ntd=on:nwc=10.0:sp=reverse_frequency:ss=axioms:st=1.5:i=13468:si=on:rtra=on_0 on Vampire---4 for (2918ds/13468Mi)
% 66.87/8.84 % (4589)Instruction limit reached!
% 66.87/8.84 % (4589)------------------------------
% 66.87/8.84 % (4589)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 66.87/8.84 % (4589)Termination reason: Unknown
% 66.87/8.84 % (4589)Termination phase: Saturation
% 66.87/8.84
% 66.87/8.84 % (4589)Memory used [KB]: 11385
% 66.87/8.84 % (4589)Time elapsed: 0.703 s
% 66.87/8.84 % (4589)Instructions burned: 3208 (million)
% 66.87/8.84 % (4589)------------------------------
% 66.87/8.84 % (4589)------------------------------
% 66.87/8.84 % (4585)Refutation found. Thanks to Tanya!
% 66.87/8.84 % SZS status Theorem for Vampire---4
% 66.87/8.84 % SZS output start Proof for Vampire---4
% 66.87/8.84 thf(type_def_5, type, mu: $tType).
% 66.87/8.84 thf(func_def_0, type, mu: $tType).
% 66.87/8.84 thf(func_def_1, type, qmltpeq: mu > mu > $i > $o).
% 66.87/8.84 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 66.87/8.84 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 66.87/8.84 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 66.87/8.84 thf(func_def_6, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 66.87/8.84 thf(func_def_7, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 66.87/8.84 thf(func_def_8, type, mtrue: $i > $o).
% 66.87/8.84 thf(func_def_9, type, mfalse: $i > $o).
% 66.87/8.84 thf(func_def_10, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 66.87/8.84 thf(func_def_11, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 66.87/8.84 thf(func_def_12, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 66.87/8.84 thf(func_def_13, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 66.87/8.84 thf(func_def_14, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 66.87/8.84 thf(func_def_15, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 66.87/8.84 thf(func_def_16, type, exists_in_world: mu > $i > $o).
% 66.87/8.84 thf(func_def_17, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 66.87/8.84 thf(func_def_18, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 66.87/8.84 thf(func_def_19, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 66.87/8.84 thf(func_def_20, type, mreflexive: ($i > $i > $o) > $o).
% 66.87/8.84 thf(func_def_21, type, msymmetric: ($i > $i > $o) > $o).
% 66.87/8.84 thf(func_def_22, type, mserial: ($i > $i > $o) > $o).
% 66.87/8.84 thf(func_def_23, type, mtransitive: ($i > $i > $o) > $o).
% 66.87/8.84 thf(func_def_24, type, meuclidean: ($i > $i > $o) > $o).
% 66.87/8.84 thf(func_def_25, type, mpartially_functional: ($i > $i > $o) > $o).
% 66.87/8.84 thf(func_def_26, type, mfunctional: ($i > $i > $o) > $o).
% 66.87/8.84 thf(func_def_27, type, mweakly_dense: ($i > $i > $o) > $o).
% 66.87/8.84 thf(func_def_28, type, mweakly_connected: ($i > $i > $o) > $o).
% 66.87/8.84 thf(func_def_29, type, mweakly_directed: ($i > $i > $o) > $o).
% 66.87/8.84 thf(func_def_30, type, mvalid: ($i > $o) > $o).
% 66.87/8.84 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 66.87/8.84 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 66.87/8.84 thf(func_def_33, type, minvalid: ($i > $o) > $o).
% 66.87/8.84 thf(func_def_34, type, rel_s4: $i > $i > $o).
% 66.87/8.84 thf(func_def_35, type, mbox_s4: ($i > $o) > $i > $o).
% 66.87/8.84 thf(func_def_36, type, mdia_s4: ($i > $o) > $i > $o).
% 66.87/8.84 thf(func_def_37, type, young: mu > $i > $o).
% 66.87/8.84 thf(func_def_38, type, man: mu > $i > $o).
% 66.87/8.84 thf(func_def_39, type, fellow: mu > $i > $o).
% 66.87/8.84 thf(func_def_40, type, in: mu > mu > $i > $o).
% 66.87/8.84 thf(func_def_41, type, down: mu > mu > $i > $o).
% 66.87/8.84 thf(func_def_42, type, barrel: mu > mu > $i > $o).
% 66.87/8.84 thf(func_def_43, type, lonely: mu > $i > $o).
% 66.87/8.84 thf(func_def_44, type, way: mu > $i > $o).
% 66.87/8.84 thf(func_def_45, type, street: mu > $i > $o).
% 66.87/8.84 thf(func_def_46, type, old: mu > $i > $o).
% 66.87/8.84 thf(func_def_47, type, dirty: mu > $i > $o).
% 66.87/8.84 thf(func_def_48, type, white: mu > $i > $o).
% 66.87/8.84 thf(func_def_49, type, car: mu > $i > $o).
% 66.87/8.84 thf(func_def_50, type, chevy: mu > $i > $o).
% 66.87/8.84 thf(func_def_51, type, event: mu > $i > $o).
% 66.87/8.84 thf(func_def_52, type, city: mu > $i > $o).
% 66.87/8.84 thf(func_def_53, type, hollywood: mu > $i > $o).
% 66.87/8.84 thf(func_def_54, type, front: mu > $i > $o).
% 66.87/8.84 thf(func_def_55, type, furniture: mu > $i > $o).
% 66.87/8.84 thf(func_def_56, type, seat: mu > $i > $o).
% 66.87/8.84 thf(func_def_78, type, ph1: !>[X0: $tType]:(X0)).
% 66.87/8.84 thf(func_def_84, type, sK4: mu).
% 66.87/8.84 thf(func_def_85, type, sK5: mu).
% 66.87/8.84 thf(func_def_86, type, sK6: mu).
% 66.87/8.84 thf(func_def_87, type, sK7: mu).
% 66.87/8.84 thf(func_def_88, type, sK8: mu).
% 66.87/8.84 thf(func_def_89, type, sK9: mu).
% 66.87/8.84 thf(func_def_90, type, sK10: mu).
% 66.87/8.84 thf(func_def_91, type, sK11: mu).
% 66.87/8.84 thf(func_def_92, type, sK12: mu).
% 66.87/8.84 thf(func_def_93, type, sK13: mu).
% 66.87/8.84 thf(func_def_94, type, sK14: $i > $i).
% 66.87/8.84 thf(func_def_95, type, sK15: mu > mu > $i).
% 66.87/8.84 thf(func_def_96, type, sK16: mu > mu > $i).
% 66.87/8.84 thf(func_def_98, type, sK18: mu).
% 66.87/8.84 thf(func_def_99, type, sK19: mu).
% 66.87/8.84 thf(func_def_100, type, sK20: mu).
% 66.87/8.84 thf(func_def_101, type, sK21: mu).
% 66.87/8.84 thf(func_def_102, type, sK22: mu).
% 66.87/8.84 thf(func_def_103, type, sK23: mu).
% 66.87/8.84 thf(func_def_104, type, sK24: mu).
% 66.87/8.84 thf(func_def_105, type, sK25: mu).
% 66.87/8.84 thf(func_def_106, type, sK26: mu).
% 66.87/8.84 thf(func_def_107, type, sK27: mu).
% 66.87/8.84 thf(func_def_108, type, sK28: $i > $i).
% 66.87/8.84 thf(func_def_109, type, sK29: mu > mu > $i).
% 66.87/8.84 thf(func_def_110, type, sK30: mu > mu > $i).
% 66.87/8.84 thf(func_def_111, type, sK31: mu > $i).
% 66.87/8.84 thf(func_def_112, type, sK32: mu > $i).
% 66.87/8.84 thf(func_def_113, type, sK33: mu > mu > $i).
% 66.87/8.84 thf(func_def_114, type, sK34: mu > $i).
% 66.87/8.84 thf(func_def_115, type, sK35: mu > mu > $i).
% 66.87/8.84 thf(func_def_116, type, sK36: mu > $i).
% 66.87/8.84 thf(func_def_117, type, sK37: mu > $i).
% 66.87/8.84 thf(func_def_118, type, sK38: mu > $i).
% 66.87/8.84 thf(func_def_119, type, sK39: mu > $i).
% 66.87/8.84 thf(func_def_120, type, sK40: mu > $i).
% 66.87/8.84 thf(f5267,plain,(
% 66.87/8.84 $false),
% 66.87/8.84 inference(avatar_sat_refutation,[],[f436,f1122,f1171,f1216,f1401,f1955,f2004,f2027,f2041,f2120,f2154,f4834,f5216,f5243,f5266])).
% 66.87/8.84 thf(f5266,plain,(
% 66.87/8.84 ~spl0_2 | ~spl0_30),
% 66.87/8.84 inference(avatar_contradiction_clause,[],[f5265])).
% 66.87/8.84 thf(f5265,plain,(
% 66.87/8.84 $false | (~spl0_2 | ~spl0_30)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f5264])).
% 66.87/8.84 thf(f5264,plain,(
% 66.87/8.84 ($false = $true) | (~spl0_2 | ~spl0_30)),
% 66.87/8.84 inference(forward_demodulation,[],[f5263,f2392])).
% 66.87/8.84 thf(f2392,plain,(
% 66.87/8.84 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ sK5 @ Y0)))))) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2389])).
% 66.87/8.84 thf(f2389,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2387])).
% 66.87/8.84 thf(f2387,plain,(
% 66.87/8.84 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))))))))))))))))))) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2385])).
% 66.87/8.84 thf(f2385,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2383])).
% 66.87/8.84 thf(f2383,plain,(
% 66.87/8.84 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))))))))))))))))))))) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2381])).
% 66.87/8.84 thf(f2381,plain,(
% 66.87/8.84 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0)))))))))))))))))))))))))))))))))))) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2380])).
% 66.87/8.84 thf(f2380,plain,(
% 66.87/8.84 (((exists_in_world @ sK13 @ sK3) => ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0)))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(beta_eta_normalization,[],[f2379])).
% 66.87/8.84 thf(f2379,plain,(
% 66.87/8.84 (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (seat @ sK4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (furniture @ sK4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (front @ sK4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (hollywood @ sK5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (city @ sK5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (event @ sK6 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (chevy @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (car @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (white @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (dirty @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (old @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (street @ sK8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (way @ sK8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (lonely @ sK8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (barrel @ sK6 @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (down @ sK6 @ sK8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ sK6 @ sK5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (seat @ sK11 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (furniture @ sK11 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (front @ sK11 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ sK9 @ sK10 @ Y2))))))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (fellow @ sK9 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (man @ sK9 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (young @ sK9 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (fellow @ sK10 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (man @ sK10 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (young @ sK10 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (qmltpeq @ sK9 @ sK12 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ sK12 @ sK4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (qmltpeq @ sK10 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ Y0 @ sK11 @ Y1))))))))))))))))))))))))))))))))))))) @ sK13) = $false) | ~spl0_2),
% 66.87/8.84 inference(sigma_clausification,[],[f2377])).
% 66.87/8.84 thf(f2377,plain,(
% 66.87/8.84 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (seat @ sK4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (furniture @ sK4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (front @ sK4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (hollywood @ sK5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (city @ sK5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (event @ sK6 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (chevy @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (car @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (white @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (dirty @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (old @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (street @ sK8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (way @ sK8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (lonely @ sK8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (barrel @ sK6 @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (down @ sK6 @ sK8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ sK6 @ sK5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (seat @ sK11 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (furniture @ sK11 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (front @ sK11 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ sK9 @ sK10 @ Y2))))))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (fellow @ sK9 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (man @ sK9 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (young @ sK9 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (fellow @ sK10 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (man @ sK10 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (young @ sK10 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (qmltpeq @ sK9 @ sK12 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ sK12 @ sK4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (qmltpeq @ sK10 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ Y0 @ sK11 @ Y1)))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2376])).
% 66.87/8.84 thf(f2376,plain,(
% 66.87/8.84 (((exists_in_world @ sK12 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (seat @ sK4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (furniture @ sK4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (front @ sK4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (hollywood @ sK5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (city @ sK5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (event @ sK6 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (chevy @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (car @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (white @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (dirty @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (old @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (street @ sK8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (way @ sK8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (lonely @ sK8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (barrel @ sK6 @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (down @ sK6 @ sK8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ sK6 @ sK5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (seat @ sK11 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (furniture @ sK11 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (front @ sK11 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ sK9 @ sK10 @ Y2))))))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (fellow @ sK9 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (man @ sK9 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (young @ sK9 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (fellow @ sK10 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (man @ sK10 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (young @ sK10 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (qmltpeq @ sK9 @ sK12 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ sK12 @ sK4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (qmltpeq @ sK10 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ Y0 @ sK11 @ Y1))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(beta_eta_normalization,[],[f2375])).
% 66.87/8.84 thf(f2375,plain,(
% 66.87/8.84 ($false = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (seat @ sK4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (furniture @ sK4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (front @ sK4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (hollywood @ sK5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (city @ sK5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (event @ sK6 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (chevy @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (car @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (white @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (dirty @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (old @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (street @ sK8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (way @ sK8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (lonely @ sK8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (barrel @ sK6 @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (down @ sK6 @ sK8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ sK6 @ sK5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (seat @ sK11 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (furniture @ sK11 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (front @ sK11 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (qmltpeq @ sK9 @ sK10 @ Y3))))))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (fellow @ sK9 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (man @ sK9 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (young @ sK9 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (fellow @ sK10 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (man @ sK10 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (young @ sK10 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (qmltpeq @ sK9 @ Y0 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ Y0 @ sK4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (qmltpeq @ sK10 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ Y1 @ sK11 @ Y2)))))))))))))))))))))))))))))))))))))))) @ sK12)) | ~spl0_2),
% 66.87/8.84 inference(sigma_clausification,[],[f2373])).
% 66.87/8.84 thf(f2373,plain,(
% 66.87/8.84 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (seat @ sK4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (furniture @ sK4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (front @ sK4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (hollywood @ sK5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (city @ sK5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (event @ sK6 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (chevy @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (car @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (white @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (dirty @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (old @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (street @ sK8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (way @ sK8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (lonely @ sK8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (barrel @ sK6 @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (down @ sK6 @ sK8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ sK6 @ sK5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (seat @ sK11 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (furniture @ sK11 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (front @ sK11 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (qmltpeq @ sK9 @ sK10 @ Y3))))))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (fellow @ sK9 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (man @ sK9 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (young @ sK9 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (fellow @ sK10 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (man @ sK10 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (young @ sK10 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (qmltpeq @ sK9 @ Y0 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ Y0 @ sK4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (qmltpeq @ sK10 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ Y1 @ sK11 @ Y2))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2372])).
% 66.87/8.84 thf(f2372,plain,(
% 66.87/8.84 ($false = ((exists_in_world @ sK11 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (seat @ sK4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (furniture @ sK4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (front @ sK4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (hollywood @ sK5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (city @ sK5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (event @ sK6 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (chevy @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (car @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (white @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (dirty @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (old @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (street @ sK8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (way @ sK8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (lonely @ sK8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (barrel @ sK6 @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (down @ sK6 @ sK8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ sK6 @ sK5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (seat @ sK11 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (furniture @ sK11 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (front @ sK11 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (qmltpeq @ sK9 @ sK10 @ Y3))))))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (fellow @ sK9 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (man @ sK9 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (young @ sK9 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (fellow @ sK10 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (man @ sK10 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (young @ sK10 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (qmltpeq @ sK9 @ Y0 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ Y0 @ sK4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (qmltpeq @ sK10 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ Y1 @ sK11 @ Y2))))))))))))))))))))))))))))))))))))))))))) | ~spl0_2),
% 66.87/8.84 inference(beta_eta_normalization,[],[f2371])).
% 66.87/8.84 thf(f2371,plain,(
% 66.87/8.84 ($false = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (seat @ sK4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (furniture @ sK4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (front @ sK4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (hollywood @ sK5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (city @ sK5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (event @ sK6 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (chevy @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (car @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (white @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (dirty @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (old @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (street @ sK8 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (way @ sK8 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (lonely @ sK8 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (barrel @ sK6 @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (down @ sK6 @ sK8 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ sK6 @ sK5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (seat @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (furniture @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (front @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (qmltpeq @ sK9 @ sK10 @ Y4))))))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (fellow @ sK9 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (man @ sK9 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (young @ sK9 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (fellow @ sK10 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (man @ sK10 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (young @ sK10 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (qmltpeq @ sK9 @ Y1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ Y1 @ sK4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (qmltpeq @ sK10 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ Y2 @ Y0 @ Y3))))))))))))))))))))))))))))))))))))))))))) @ sK11)) | ~spl0_2),
% 66.87/8.84 inference(sigma_clausification,[],[f2369])).
% 66.87/8.84 thf(f2369,plain,(
% 66.87/8.84 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (seat @ sK4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (furniture @ sK4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (front @ sK4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (hollywood @ sK5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (city @ sK5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (event @ sK6 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (chevy @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (car @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (white @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (dirty @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (old @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (street @ sK8 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (way @ sK8 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (lonely @ sK8 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (barrel @ sK6 @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (down @ sK6 @ sK8 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ sK6 @ sK5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (seat @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (furniture @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (front @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (qmltpeq @ sK9 @ sK10 @ Y4))))))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (fellow @ sK9 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (man @ sK9 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (young @ sK9 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (fellow @ sK10 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (man @ sK10 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (young @ sK10 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (qmltpeq @ sK9 @ Y1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ Y1 @ sK4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (qmltpeq @ sK10 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ Y2 @ Y0 @ Y3)))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2368])).
% 66.87/8.84 thf(f2368,plain,(
% 66.87/8.84 (((exists_in_world @ sK10 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (seat @ sK4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (furniture @ sK4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (front @ sK4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (hollywood @ sK5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (city @ sK5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (event @ sK6 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (chevy @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (car @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (white @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (dirty @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (old @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (street @ sK8 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (way @ sK8 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (lonely @ sK8 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (barrel @ sK6 @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (down @ sK6 @ sK8 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ sK6 @ sK5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (seat @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (furniture @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (front @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (qmltpeq @ sK9 @ sK10 @ Y4))))))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (fellow @ sK9 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (man @ sK9 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (young @ sK9 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (fellow @ sK10 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (man @ sK10 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (young @ sK10 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (qmltpeq @ sK9 @ Y1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ Y1 @ sK4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (qmltpeq @ sK10 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ Y2 @ Y0 @ Y3))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(beta_eta_normalization,[],[f2367])).
% 66.87/8.84 thf(f2367,plain,(
% 66.87/8.84 (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (seat @ sK4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (furniture @ sK4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (front @ sK4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (hollywood @ sK5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (city @ sK5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (event @ sK6 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (chevy @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (car @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (white @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (dirty @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (old @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (street @ sK8 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (way @ sK8 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (lonely @ sK8 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (barrel @ sK6 @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (down @ sK6 @ sK8 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ sK6 @ sK5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (seat @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (furniture @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (front @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (qmltpeq @ sK9 @ Y0 @ Y5))))))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (fellow @ sK9 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (man @ sK9 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (young @ sK9 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (fellow @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (man @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (young @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (qmltpeq @ sK9 @ Y2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ Y2 @ sK4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (qmltpeq @ Y0 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ Y3 @ Y1 @ Y4)))))))))))))))))))))))))))))))))))))))))))))) @ sK10) = $false) | ~spl0_2),
% 66.87/8.84 inference(sigma_clausification,[],[f2365])).
% 66.87/8.84 thf(f2365,plain,(
% 66.87/8.84 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (seat @ sK4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (furniture @ sK4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (front @ sK4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (hollywood @ sK5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (city @ sK5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (event @ sK6 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (chevy @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (car @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (white @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (dirty @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (old @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (street @ sK8 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (way @ sK8 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (lonely @ sK8 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (barrel @ sK6 @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (down @ sK6 @ sK8 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ sK6 @ sK5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (seat @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (furniture @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (front @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (qmltpeq @ sK9 @ Y0 @ Y5))))))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (fellow @ sK9 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (man @ sK9 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (young @ sK9 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (fellow @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (man @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (young @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (qmltpeq @ sK9 @ Y2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ Y2 @ sK4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (qmltpeq @ Y0 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ Y3 @ Y1 @ Y4))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2364])).
% 66.87/8.84 thf(f2364,plain,(
% 66.87/8.84 (((exists_in_world @ sK9 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (seat @ sK4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (furniture @ sK4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (front @ sK4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (hollywood @ sK5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (city @ sK5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (event @ sK6 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (chevy @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (car @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (white @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (dirty @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (old @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (street @ sK8 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (way @ sK8 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (lonely @ sK8 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (barrel @ sK6 @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (down @ sK6 @ sK8 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ sK6 @ sK5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (seat @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (furniture @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (front @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (qmltpeq @ sK9 @ Y0 @ Y5))))))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (fellow @ sK9 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (man @ sK9 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (young @ sK9 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (fellow @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (man @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (young @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (qmltpeq @ sK9 @ Y2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ Y2 @ sK4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (qmltpeq @ Y0 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ Y3 @ Y1 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(beta_eta_normalization,[],[f2363])).
% 66.87/8.84 thf(f2363,plain,(
% 66.87/8.84 (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (seat @ sK4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (furniture @ sK4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (front @ sK4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (hollywood @ sK5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (city @ sK5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (event @ sK6 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (chevy @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (car @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (white @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (dirty @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (old @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (street @ sK8 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (way @ sK8 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (lonely @ sK8 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (barrel @ sK6 @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (down @ sK6 @ sK8 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ sK6 @ sK5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (seat @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (furniture @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (front @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (qmltpeq @ Y0 @ Y1 @ Y6))))))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (fellow @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (man @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (young @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (fellow @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (man @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (young @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (qmltpeq @ Y0 @ Y3 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ Y3 @ sK4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (qmltpeq @ Y1 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ Y4 @ Y2 @ Y5))))))))))))))))))))))))))))))))))))))))))))))))) @ sK9) = $false) | ~spl0_2),
% 66.87/8.84 inference(sigma_clausification,[],[f2361])).
% 66.87/8.84 thf(f2361,plain,(
% 66.87/8.84 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (seat @ sK4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (furniture @ sK4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (front @ sK4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (hollywood @ sK5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (city @ sK5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (event @ sK6 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (chevy @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (car @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (white @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (dirty @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (old @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (street @ sK8 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (way @ sK8 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (lonely @ sK8 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (barrel @ sK6 @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (down @ sK6 @ sK8 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ sK6 @ sK5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (seat @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (furniture @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (front @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (qmltpeq @ Y0 @ Y1 @ Y6))))))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (fellow @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (man @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (young @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (fellow @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (man @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (young @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (qmltpeq @ Y0 @ Y3 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ Y3 @ sK4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (qmltpeq @ Y1 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ Y4 @ Y2 @ Y5)))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2360])).
% 66.87/8.84 thf(f2360,plain,(
% 66.87/8.84 (((exists_in_world @ sK8 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (seat @ sK4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (furniture @ sK4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (front @ sK4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (hollywood @ sK5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (city @ sK5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (event @ sK6 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (chevy @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (car @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (white @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (dirty @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (old @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (street @ sK8 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (way @ sK8 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (lonely @ sK8 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (barrel @ sK6 @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (down @ sK6 @ sK8 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ sK6 @ sK5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (seat @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (furniture @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (front @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (qmltpeq @ Y0 @ Y1 @ Y6))))))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (fellow @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (man @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (young @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (fellow @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (man @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (young @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (qmltpeq @ Y0 @ Y3 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ Y3 @ sK4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (qmltpeq @ Y1 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ Y4 @ Y2 @ Y5))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(beta_eta_normalization,[],[f2359])).
% 66.87/8.84 thf(f2359,plain,(
% 66.87/8.84 ($false = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (seat @ sK4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (furniture @ sK4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (front @ sK4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (hollywood @ sK5 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (city @ sK5 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (event @ sK6 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (chevy @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (car @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (white @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (dirty @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (old @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (street @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (way @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (lonely @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (barrel @ sK6 @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (down @ sK6 @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ sK6 @ sK5 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (seat @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (furniture @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (front @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (qmltpeq @ Y1 @ Y2 @ Y7))))))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (fellow @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (man @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (young @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (fellow @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (man @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (young @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (qmltpeq @ Y1 @ Y4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ Y4 @ sK4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (qmltpeq @ Y2 @ Y5 @ Y6))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ Y5 @ Y3 @ Y6)))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK8)) | ~spl0_2),
% 66.87/8.84 inference(sigma_clausification,[],[f2357])).
% 66.87/8.84 thf(f2357,plain,(
% 66.87/8.84 ($false = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (seat @ sK4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (furniture @ sK4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (front @ sK4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (hollywood @ sK5 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (city @ sK5 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (event @ sK6 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (chevy @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (car @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (white @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (dirty @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (old @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (street @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (way @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (lonely @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (barrel @ sK6 @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (down @ sK6 @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ sK6 @ sK5 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (seat @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (furniture @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (front @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (qmltpeq @ Y1 @ Y2 @ Y7))))))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (fellow @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (man @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (young @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (fellow @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (man @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (young @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (qmltpeq @ Y1 @ Y4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ Y4 @ sK4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (qmltpeq @ Y2 @ Y5 @ Y6))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ Y5 @ Y3 @ Y6)))))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2356])).
% 66.87/8.84 thf(f2356,plain,(
% 66.87/8.84 (((exists_in_world @ sK7 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (seat @ sK4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (furniture @ sK4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (front @ sK4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (hollywood @ sK5 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (city @ sK5 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (event @ sK6 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (chevy @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (car @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (white @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (dirty @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (old @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (street @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (way @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (lonely @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (barrel @ sK6 @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (down @ sK6 @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ sK6 @ sK5 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (seat @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (furniture @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (front @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (qmltpeq @ Y1 @ Y2 @ Y7))))))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (fellow @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (man @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (young @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (fellow @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (man @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (young @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (qmltpeq @ Y1 @ Y4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ Y4 @ sK4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (qmltpeq @ Y2 @ Y5 @ Y6))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ Y5 @ Y3 @ Y6)))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(beta_eta_normalization,[],[f2355])).
% 66.87/8.84 thf(f2355,plain,(
% 66.87/8.84 (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (seat @ sK4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (furniture @ sK4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (front @ sK4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (hollywood @ sK5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (city @ sK5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (event @ sK6 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (chevy @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (car @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (white @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (dirty @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (old @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (street @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (way @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (lonely @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (barrel @ sK6 @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (down @ sK6 @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ sK6 @ sK5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (seat @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (furniture @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (front @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (qmltpeq @ Y2 @ Y3 @ Y8))))))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (fellow @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (man @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (young @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (fellow @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (man @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (young @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (qmltpeq @ Y2 @ Y5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ Y5 @ sK4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (qmltpeq @ Y3 @ Y6 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ Y6 @ Y4 @ Y7))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK7) = $false) | ~spl0_2),
% 66.87/8.84 inference(sigma_clausification,[],[f2353])).
% 66.87/8.84 thf(f2353,plain,(
% 66.87/8.84 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (seat @ sK4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (furniture @ sK4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (front @ sK4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (hollywood @ sK5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (city @ sK5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (event @ sK6 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (chevy @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (car @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (white @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (dirty @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (old @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (street @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (way @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (lonely @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (barrel @ sK6 @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (down @ sK6 @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ sK6 @ sK5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (seat @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (furniture @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (front @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (qmltpeq @ Y2 @ Y3 @ Y8))))))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (fellow @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (man @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (young @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (fellow @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (man @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (young @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (qmltpeq @ Y2 @ Y5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ Y5 @ sK4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (qmltpeq @ Y3 @ Y6 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ Y6 @ Y4 @ Y7)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2352])).
% 66.87/8.84 thf(f2352,plain,(
% 66.87/8.84 (((exists_in_world @ sK6 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (seat @ sK4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (furniture @ sK4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (front @ sK4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (hollywood @ sK5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (city @ sK5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (event @ sK6 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (chevy @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (car @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (white @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (dirty @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (old @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (street @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (way @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (lonely @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (barrel @ sK6 @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (down @ sK6 @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ sK6 @ sK5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (seat @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (furniture @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (front @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (qmltpeq @ Y2 @ Y3 @ Y8))))))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (fellow @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (man @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (young @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (fellow @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (man @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (young @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (qmltpeq @ Y2 @ Y5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ Y5 @ sK4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (qmltpeq @ Y3 @ Y6 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ Y6 @ Y4 @ Y7))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(beta_eta_normalization,[],[f2351])).
% 66.87/8.84 thf(f2351,plain,(
% 66.87/8.84 ($false = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (seat @ sK4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (furniture @ sK4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (front @ sK4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (hollywood @ sK5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (city @ sK5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (event @ Y0 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (chevy @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (car @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (white @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (dirty @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (old @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (street @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (way @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (lonely @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (barrel @ Y0 @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (down @ Y0 @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y0 @ sK5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (seat @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (furniture @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (front @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ Y8 @ Y9)) | (qmltpeq @ Y3 @ Y4 @ Y9))))))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (fellow @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (man @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (young @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (fellow @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (man @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (young @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (qmltpeq @ Y3 @ Y6 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y6 @ sK4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (qmltpeq @ Y4 @ Y7 @ Y8))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y7 @ Y5 @ Y8)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK6)) | ~spl0_2),
% 66.87/8.84 inference(sigma_clausification,[],[f2349])).
% 66.87/8.84 thf(f2349,plain,(
% 66.87/8.84 ($false = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (seat @ sK4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (furniture @ sK4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (front @ sK4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (hollywood @ sK5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (city @ sK5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (event @ Y0 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (chevy @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (car @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (white @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (dirty @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (old @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (street @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (way @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (lonely @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (barrel @ Y0 @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (down @ Y0 @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y0 @ sK5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (seat @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (furniture @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (front @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ Y8 @ Y9)) | (qmltpeq @ Y3 @ Y4 @ Y9))))))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (fellow @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (man @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (young @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (fellow @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (man @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (young @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (qmltpeq @ Y3 @ Y6 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y6 @ sK4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (qmltpeq @ Y4 @ Y7 @ Y8))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y7 @ Y5 @ Y8)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2348])).
% 66.87/8.84 thf(f2348,plain,(
% 66.87/8.84 (((exists_in_world @ sK5 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (seat @ sK4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (furniture @ sK4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (front @ sK4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (hollywood @ sK5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (city @ sK5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (event @ Y0 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (chevy @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (car @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (white @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (dirty @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (old @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (street @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (way @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (lonely @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (barrel @ Y0 @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (down @ Y0 @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y0 @ sK5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (seat @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (furniture @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (front @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ Y8 @ Y9)) | (qmltpeq @ Y3 @ Y4 @ Y9))))))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (fellow @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (man @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (young @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (fellow @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (man @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (young @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (qmltpeq @ Y3 @ Y6 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y6 @ sK4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (qmltpeq @ Y4 @ Y7 @ Y8))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y7 @ Y5 @ Y8)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(beta_eta_normalization,[],[f2347])).
% 66.87/8.84 thf(f2347,plain,(
% 66.87/8.84 ($false = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK3) => ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (seat @ sK4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (furniture @ sK4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (front @ sK4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (hollywood @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (city @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (event @ Y1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (chevy @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (car @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (white @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (dirty @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (old @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (street @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (way @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (lonely @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (barrel @ Y1 @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (down @ Y1 @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y1 @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (seat @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (furniture @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (front @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ Y9 @ Y10)) | (qmltpeq @ Y4 @ Y5 @ Y10))))))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (fellow @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (man @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (young @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (fellow @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (man @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (young @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (qmltpeq @ Y4 @ Y7 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y7 @ sK4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (qmltpeq @ Y5 @ Y8 @ Y9))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y8 @ Y6 @ Y9))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK5)) | ~spl0_2),
% 66.87/8.84 inference(sigma_clausification,[],[f2345])).
% 66.87/8.84 thf(f2345,plain,(
% 66.87/8.84 ($false = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK3) => ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (seat @ sK4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (furniture @ sK4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (front @ sK4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (hollywood @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (city @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (event @ Y1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (chevy @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (car @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (white @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (dirty @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (old @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (street @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (way @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (lonely @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (barrel @ Y1 @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (down @ Y1 @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y1 @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (seat @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (furniture @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (front @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ Y9 @ Y10)) | (qmltpeq @ Y4 @ Y5 @ Y10))))))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (fellow @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (man @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (young @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (fellow @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (man @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (young @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (qmltpeq @ Y4 @ Y7 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y7 @ sK4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (qmltpeq @ Y5 @ Y8 @ Y9))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y8 @ Y6 @ Y9))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2344])).
% 66.87/8.84 thf(f2344,plain,(
% 66.87/8.84 (((exists_in_world @ sK4 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK3) => ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (seat @ sK4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (furniture @ sK4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (front @ sK4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (hollywood @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (city @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (event @ Y1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (chevy @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (car @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (white @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (dirty @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (old @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (street @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (way @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (lonely @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (barrel @ Y1 @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (down @ Y1 @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y1 @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (seat @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (furniture @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (front @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ Y9 @ Y10)) | (qmltpeq @ Y4 @ Y5 @ Y10))))))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (fellow @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (man @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (young @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (fellow @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (man @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (young @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (qmltpeq @ Y4 @ Y7 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y7 @ sK4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (qmltpeq @ Y5 @ Y8 @ Y9))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y8 @ Y6 @ Y9))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(beta_eta_normalization,[],[f2343])).
% 66.87/8.84 thf(f2343,plain,(
% 66.87/8.84 ($false = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK3) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ sK3) => ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (hollywood @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (city @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (event @ Y2 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (chevy @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (car @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (white @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (dirty @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (old @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (street @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (way @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (lonely @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (barrel @ Y2 @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (down @ Y2 @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y2 @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y10 @ Y11)) | (qmltpeq @ Y5 @ Y6 @ Y11))))))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y5 @ Y8 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y8 @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y6 @ Y9 @ Y10))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y9 @ Y7 @ Y10)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK4)) | ~spl0_2),
% 66.87/8.84 inference(sigma_clausification,[],[f2342])).
% 66.87/8.84 thf(f2342,plain,(
% 66.87/8.84 ($false = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK3) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ sK3) => ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (hollywood @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (city @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (event @ Y2 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (chevy @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (car @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (white @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (dirty @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (old @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (street @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (way @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (lonely @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (barrel @ Y2 @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (down @ Y2 @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y2 @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y10 @ Y11)) | (qmltpeq @ Y5 @ Y6 @ Y11))))))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y5 @ Y8 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y8 @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y6 @ Y9 @ Y10))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y9 @ Y7 @ Y10)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2339])).
% 66.87/8.84 thf(f2339,plain,(
% 66.87/8.84 (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK3) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ sK3) => ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (hollywood @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (city @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (event @ Y2 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (chevy @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (car @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (white @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (dirty @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (old @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (street @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (way @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (lonely @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (barrel @ Y2 @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (down @ Y2 @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y2 @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y10 @ Y11)) | (qmltpeq @ Y5 @ Y6 @ Y11))))))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y5 @ Y8 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y8 @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y6 @ Y9 @ Y10))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y9 @ Y7 @ Y10))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK3) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ sK3) => ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (hollywood @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (city @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (event @ Y2 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (chevy @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (car @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (white @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (dirty @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (old @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (street @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (way @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (lonely @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (barrel @ Y2 @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (down @ Y2 @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y2 @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y10 @ Y11)) | (qmltpeq @ Y5 @ Y6 @ Y11))))))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y5 @ Y8 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y8 @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y6 @ Y9 @ Y10))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y9 @ Y0 @ Y10))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2338])).
% 66.87/8.84 thf(f2338,plain,(
% 66.87/8.84 (((~ (rel_s4 @ sK2 @ sK3)) | ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK3) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ sK3) => ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (hollywood @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (city @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (event @ Y2 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (chevy @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (car @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (white @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (dirty @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (old @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (street @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (way @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (lonely @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (barrel @ Y2 @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (down @ Y2 @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y2 @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y10 @ Y11)) | (qmltpeq @ Y5 @ Y6 @ Y11))))))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y5 @ Y8 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y8 @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y6 @ Y9 @ Y10))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y9 @ Y7 @ Y10))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK3) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ sK3) => ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (hollywood @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (city @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (event @ Y2 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (chevy @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (car @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (white @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (dirty @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (old @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (street @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (way @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (lonely @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (barrel @ Y2 @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (down @ Y2 @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y2 @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y10 @ Y11)) | (qmltpeq @ Y5 @ Y6 @ Y11))))))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y5 @ Y8 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y8 @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y6 @ Y9 @ Y10))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y9 @ Y0 @ Y10)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(beta_eta_normalization,[],[f2337])).
% 66.87/8.84 thf(f2337,plain,(
% 66.87/8.84 ($false = ((^[Y0 : $i]: ((~ (rel_s4 @ sK2 @ Y0)) | ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y8 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y1 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK3)) | ~spl0_2),
% 66.87/8.84 inference(sigma_clausification,[],[f2336])).
% 66.87/8.84 thf(f2336,plain,(
% 66.87/8.84 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK2 @ Y0)) | ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y8 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y1 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_2),
% 66.87/8.84 inference(not_proxy_clausification,[],[f435])).
% 66.87/8.84 thf(f435,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK2 @ Y0)) | ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y8 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y1 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true) | ~spl0_2),
% 66.87/8.84 inference(avatar_component_clause,[],[f434])).
% 66.87/8.84 thf(f434,plain,(
% 66.87/8.84 spl0_2 <=> ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK2 @ Y0)) | ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y8 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y1 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.84 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 66.87/8.84 thf(f5263,plain,(
% 66.87/8.84 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ sK5 @ Y0)))))) | (~spl0_2 | ~spl0_30)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f5262])).
% 66.87/8.84 thf(f5262,plain,(
% 66.87/8.84 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ sK5 @ Y0)))))) | ($false = $true) | (~spl0_2 | ~spl0_30)),
% 66.87/8.84 inference(forward_demodulation,[],[f5261,f2390])).
% 66.87/8.84 thf(f2390,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ sK5 @ Y0))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2387])).
% 66.87/8.84 thf(f5261,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ sK5 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ sK5 @ Y0)))))) | (~spl0_2 | ~spl0_30)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f5260])).
% 66.87/8.84 thf(f5260,plain,(
% 66.87/8.84 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ sK5 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ sK5 @ Y0))))) = $true) | ($false = $true) | (~spl0_2 | ~spl0_30)),
% 66.87/8.84 inference(forward_demodulation,[],[f5247,f2350])).
% 66.87/8.84 thf(f2350,plain,(
% 66.87/8.84 ($true = (exists_in_world @ sK5 @ sK3)) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2348])).
% 66.87/8.84 thf(f5247,plain,(
% 66.87/8.84 ($false = (exists_in_world @ sK5 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ sK5 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ sK5 @ Y0)))))) | (~spl0_2 | ~spl0_30)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f5246])).
% 66.87/8.84 thf(f5246,plain,(
% 66.87/8.84 ($false = (exists_in_world @ sK5 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ sK5 @ Y0))))) = $true) | ($false = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ sK5 @ Y0)))))) | (~spl0_2 | ~spl0_30)),
% 66.87/8.84 inference(superposition,[],[f2416,f1153])).
% 66.87/8.84 thf(f1153,plain,(
% 66.87/8.84 ( ! [X0 : mu] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ X0 @ Y0)))))) | ((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X0 @ Y0))))) = $true)) ) | ~spl0_30),
% 66.87/8.84 inference(avatar_component_clause,[],[f1152])).
% 66.87/8.84 thf(f1152,plain,(
% 66.87/8.84 spl0_30 <=> ! [X0 : mu] : (((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ X0 @ Y0)))))))),
% 66.87/8.84 introduced(avatar_definition,[new_symbols(naming,[spl0_30])])).
% 66.87/8.84 thf(f2416,plain,(
% 66.87/8.84 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0)))))) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2413])).
% 66.87/8.84 thf(f2413,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2411])).
% 66.87/8.84 thf(f2411,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0)))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2409])).
% 66.87/8.84 thf(f2409,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2407])).
% 66.87/8.84 thf(f2407,plain,(
% 66.87/8.84 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))))))))) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2405])).
% 66.87/8.84 thf(f2405,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2403])).
% 66.87/8.84 thf(f2403,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0)))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2401])).
% 66.87/8.84 thf(f2401,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2399])).
% 66.87/8.84 thf(f2399,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0)))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2397])).
% 66.87/8.84 thf(f2397,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2395])).
% 66.87/8.84 thf(f2395,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0)))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2393])).
% 66.87/8.84 thf(f2393,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2391])).
% 66.87/8.84 thf(f2391,plain,(
% 66.87/8.84 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))))))))))))))))) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2389])).
% 66.87/8.84 thf(f5243,plain,(
% 66.87/8.84 ~spl0_2 | ~spl0_29),
% 66.87/8.84 inference(avatar_contradiction_clause,[],[f5242])).
% 66.87/8.84 thf(f5242,plain,(
% 66.87/8.84 $false | (~spl0_2 | ~spl0_29)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f5241])).
% 66.87/8.84 thf(f5241,plain,(
% 66.87/8.84 ($false = $true) | (~spl0_2 | ~spl0_29)),
% 66.87/8.84 inference(forward_demodulation,[],[f5240,f2406])).
% 66.87/8.84 thf(f2406,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2403])).
% 66.87/8.84 thf(f5240,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) = $true) | (~spl0_2 | ~spl0_29)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f5239])).
% 66.87/8.84 thf(f5239,plain,(
% 66.87/8.84 ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) = $true) | (~spl0_2 | ~spl0_29)),
% 66.87/8.84 inference(forward_demodulation,[],[f5238,f2410])).
% 66.87/8.84 thf(f2410,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2407])).
% 66.87/8.84 thf(f5238,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) = $true) | (~spl0_2 | ~spl0_29)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f5237])).
% 66.87/8.84 thf(f5237,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) = $true) | ($false = $true) | (~spl0_2 | ~spl0_29)),
% 66.87/8.84 inference(forward_demodulation,[],[f5236,f2362])).
% 66.87/8.84 thf(f2362,plain,(
% 66.87/8.84 ((exists_in_world @ sK8 @ sK3) = $true) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2360])).
% 66.87/8.84 thf(f5236,plain,(
% 66.87/8.84 ((exists_in_world @ sK8 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) = $true) | (~spl0_2 | ~spl0_29)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f5235])).
% 66.87/8.84 thf(f5235,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) = $true) | ($false = $true) | ((exists_in_world @ sK8 @ sK3) = $false) | (~spl0_2 | ~spl0_29)),
% 66.87/8.84 inference(forward_demodulation,[],[f5220,f2408])).
% 66.87/8.84 thf(f2408,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2405])).
% 66.87/8.84 thf(f5220,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) = $true) | ((exists_in_world @ sK8 @ sK3) = $false) | (~spl0_2 | ~spl0_29)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f5218])).
% 66.87/8.84 thf(f5218,plain,(
% 66.87/8.84 ((exists_in_world @ sK8 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) = $true) | ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) = $true) | (~spl0_2 | ~spl0_29)),
% 66.87/8.84 inference(superposition,[],[f1150,f2414])).
% 66.87/8.84 thf(f2414,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2411])).
% 66.87/8.84 thf(f1150,plain,(
% 66.87/8.84 ( ! [X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3))) ) | ~spl0_29),
% 66.87/8.84 inference(avatar_component_clause,[],[f1149])).
% 66.87/8.84 thf(f1149,plain,(
% 66.87/8.84 spl0_29 <=> ! [X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X1 @ Y0))))) = $true))),
% 66.87/8.84 introduced(avatar_definition,[new_symbols(naming,[spl0_29])])).
% 66.87/8.84 thf(f5216,plain,(
% 66.87/8.84 ~spl0_2 | ~spl0_31),
% 66.87/8.84 inference(avatar_contradiction_clause,[],[f5215])).
% 66.87/8.84 thf(f5215,plain,(
% 66.87/8.84 $false | (~spl0_2 | ~spl0_31)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f5214])).
% 66.87/8.84 thf(f5214,plain,(
% 66.87/8.84 ($false = $true) | (~spl0_2 | ~spl0_31)),
% 66.87/8.84 inference(backward_demodulation,[],[f2346,f5213])).
% 66.87/8.84 thf(f5213,plain,(
% 66.87/8.84 ($false = (exists_in_world @ sK4 @ sK3)) | (~spl0_2 | ~spl0_31)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f5212])).
% 66.87/8.84 thf(f5212,plain,(
% 66.87/8.84 ($false = (exists_in_world @ sK4 @ sK3)) | ($false = $true) | (~spl0_2 | ~spl0_31)),
% 66.87/8.84 inference(forward_demodulation,[],[f5211,f2384])).
% 66.87/8.84 thf(f2384,plain,(
% 66.87/8.84 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK4 @ Y0)))))) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2381])).
% 66.87/8.84 thf(f5211,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK4 @ Y0))))) = $true) | ($false = (exists_in_world @ sK4 @ sK3)) | (~spl0_2 | ~spl0_31)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f5210])).
% 66.87/8.84 thf(f5210,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK4 @ Y0))))) = $true) | ($false = (exists_in_world @ sK4 @ sK3)) | ($false = $true) | (~spl0_2 | ~spl0_31)),
% 66.87/8.84 inference(forward_demodulation,[],[f5209,f2438])).
% 66.87/8.84 thf(f2438,plain,(
% 66.87/8.84 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0)))))) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2435])).
% 66.87/8.84 thf(f2435,plain,(
% 66.87/8.84 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2433])).
% 66.87/8.84 thf(f2433,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2431])).
% 66.87/8.84 thf(f2431,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0)))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2429])).
% 66.87/8.84 thf(f2429,plain,(
% 66.87/8.84 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0)))))))))))) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2427])).
% 66.87/8.84 thf(f2427,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0)))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2425])).
% 66.87/8.84 thf(f2425,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2423])).
% 66.87/8.84 thf(f2423,plain,(
% 66.87/8.84 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2421])).
% 66.87/8.84 thf(f2421,plain,(
% 66.87/8.84 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0)))))))))))))))) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2419])).
% 66.87/8.84 thf(f2419,plain,(
% 66.87/8.84 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2417])).
% 66.87/8.84 thf(f2417,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2415])).
% 66.87/8.84 thf(f2415,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0)))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2413])).
% 66.87/8.84 thf(f5209,plain,(
% 66.87/8.84 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0)))))) | ($false = (exists_in_world @ sK4 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK4 @ Y0))))) = $true) | (~spl0_2 | ~spl0_31)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f5208])).
% 66.87/8.84 thf(f5208,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK4 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0)))))) | ($false = (exists_in_world @ sK4 @ sK3)) | ($false = $true) | (~spl0_2 | ~spl0_31)),
% 66.87/8.84 inference(forward_demodulation,[],[f5207,f2388])).
% 66.87/8.84 thf(f2388,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK4 @ Y0))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2385])).
% 66.87/8.84 thf(f5207,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK4 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0)))))) | ($false = (exists_in_world @ sK4 @ sK3)) | (~spl0_2 | ~spl0_31)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f5206])).
% 66.87/8.84 thf(f5206,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK4 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0)))))) | ($false = (exists_in_world @ sK4 @ sK3)) | ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK4 @ Y0))))) = $true) | (~spl0_2 | ~spl0_31)),
% 66.87/8.84 inference(forward_demodulation,[],[f5205,f2386])).
% 66.87/8.84 thf(f2386,plain,(
% 66.87/8.84 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK4 @ Y0)))))) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2383])).
% 66.87/8.84 thf(f5205,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK4 @ Y0))))) = $true) | ($false = (exists_in_world @ sK4 @ sK3)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK4 @ Y0))))) = $true) | (~spl0_2 | ~spl0_31)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f5204])).
% 66.87/8.84 thf(f5204,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK4 @ Y0))))) = $true) | ($false = (exists_in_world @ sK4 @ sK3)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0)))))) | ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK4 @ Y0))))) = $true) | (~spl0_2 | ~spl0_31)),
% 66.87/8.84 inference(forward_demodulation,[],[f5171,f2378])).
% 66.87/8.84 thf(f2378,plain,(
% 66.87/8.84 ($true = (exists_in_world @ sK12 @ sK3)) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2376])).
% 66.87/8.84 thf(f5171,plain,(
% 66.87/8.84 ($false = (exists_in_world @ sK12 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK4 @ Y0))))) = $true) | ($false = (exists_in_world @ sK4 @ sK3)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK4 @ Y0))))) = $true) | (~spl0_2 | ~spl0_31)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f5169])).
% 66.87/8.84 thf(f5169,plain,(
% 66.87/8.84 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0)))))) | ($false = (exists_in_world @ sK4 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK4 @ Y0))))) = $true) | ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK4 @ Y0))))) = $true) | ($false = (exists_in_world @ sK12 @ sK3)) | (~spl0_2 | ~spl0_31)),
% 66.87/8.84 inference(superposition,[],[f2440,f1195])).
% 66.87/8.84 thf(f1195,plain,(
% 66.87/8.84 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X0 @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ X0 @ Y0))))) = $true)) ) | ~spl0_31),
% 66.87/8.84 inference(avatar_component_clause,[],[f1194])).
% 66.87/8.84 thf(f1194,plain,(
% 66.87/8.84 spl0_31 <=> ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X0 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true))),
% 66.87/8.84 introduced(avatar_definition,[new_symbols(naming,[spl0_31])])).
% 66.87/8.84 thf(f2440,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2437])).
% 66.87/8.84 thf(f2437,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2435])).
% 66.87/8.84 thf(f2346,plain,(
% 66.87/8.84 ((exists_in_world @ sK4 @ sK3) = $true) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2344])).
% 66.87/8.84 thf(f4834,plain,(
% 66.87/8.84 ~spl0_2 | ~spl0_32),
% 66.87/8.84 inference(avatar_contradiction_clause,[],[f4833])).
% 66.87/8.84 thf(f4833,plain,(
% 66.87/8.84 $false | (~spl0_2 | ~spl0_32)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f4832])).
% 66.87/8.84 thf(f4832,plain,(
% 66.87/8.84 ($false = $true) | (~spl0_2 | ~spl0_32)),
% 66.87/8.84 inference(backward_demodulation,[],[f2382,f4831])).
% 66.87/8.84 thf(f4831,plain,(
% 66.87/8.84 ((exists_in_world @ sK13 @ sK3) = $false) | (~spl0_2 | ~spl0_32)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f4830])).
% 66.87/8.84 thf(f4830,plain,(
% 66.87/8.84 ($false = $true) | ((exists_in_world @ sK13 @ sK3) = $false) | (~spl0_2 | ~spl0_32)),
% 66.87/8.84 inference(forward_demodulation,[],[f4829,f2374])).
% 66.87/8.84 thf(f2374,plain,(
% 66.87/8.84 ($true = (exists_in_world @ sK11 @ sK3)) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2372])).
% 66.87/8.84 thf(f4829,plain,(
% 66.87/8.84 ($false = (exists_in_world @ sK11 @ sK3)) | ((exists_in_world @ sK13 @ sK3) = $false) | (~spl0_2 | ~spl0_32)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f4828])).
% 66.87/8.84 thf(f4828,plain,(
% 66.87/8.84 ($false = $true) | ((exists_in_world @ sK13 @ sK3) = $false) | ($false = (exists_in_world @ sK11 @ sK3)) | (~spl0_2 | ~spl0_32)),
% 66.87/8.84 inference(forward_demodulation,[],[f4827,f2442])).
% 66.87/8.84 thf(f2442,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2439])).
% 66.87/8.84 thf(f2439,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0)))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2437])).
% 66.87/8.84 thf(f4827,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) = $true) | ((exists_in_world @ sK13 @ sK3) = $false) | ($false = (exists_in_world @ sK11 @ sK3)) | (~spl0_2 | ~spl0_32)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f4826])).
% 66.87/8.84 thf(f4826,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) = $true) | ((exists_in_world @ sK13 @ sK3) = $false) | ($false = (exists_in_world @ sK11 @ sK3)) | ($false = $true) | (~spl0_2 | ~spl0_32)),
% 66.87/8.84 inference(forward_demodulation,[],[f4825,f2420])).
% 66.87/8.84 thf(f2420,plain,(
% 66.87/8.84 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0)))))) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2417])).
% 66.87/8.84 thf(f4825,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) = $true) | ((exists_in_world @ sK13 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) = $true) | ($false = (exists_in_world @ sK11 @ sK3)) | (~spl0_2 | ~spl0_32)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f4824])).
% 66.87/8.84 thf(f4824,plain,(
% 66.87/8.84 ((exists_in_world @ sK13 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) = $true) | ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) = $true) | ($false = (exists_in_world @ sK11 @ sK3)) | (~spl0_2 | ~spl0_32)),
% 66.87/8.84 inference(forward_demodulation,[],[f4823,f2422])).
% 66.87/8.84 thf(f2422,plain,(
% 66.87/8.84 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0)))))) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2419])).
% 66.87/8.84 thf(f4823,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) = $true) | ($false = (exists_in_world @ sK11 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) = $true) | ((exists_in_world @ sK13 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) = $true) | (~spl0_2 | ~spl0_32)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f4822])).
% 66.87/8.84 thf(f4822,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) = $true) | ($false = $true) | ($false = (exists_in_world @ sK11 @ sK3)) | ((exists_in_world @ sK13 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) = $true) | (~spl0_2 | ~spl0_32)),
% 66.87/8.84 inference(forward_demodulation,[],[f4804,f2418])).
% 66.87/8.84 thf(f2418,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2415])).
% 66.87/8.84 thf(f4804,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) = $true) | ($false = (exists_in_world @ sK11 @ sK3)) | ((exists_in_world @ sK13 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) = $true) | (~spl0_2 | ~spl0_32)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f4802])).
% 66.87/8.84 thf(f4802,plain,(
% 66.87/8.84 ($false = (exists_in_world @ sK11 @ sK3)) | ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) = $true) | ((exists_in_world @ sK13 @ sK3) = $false) | (~spl0_2 | ~spl0_32)),
% 66.87/8.84 inference(superposition,[],[f2441,f1198])).
% 66.87/8.84 thf(f1198,plain,(
% 66.87/8.84 ( ! [X2 : mu,X3 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X2 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X2 @ Y0)))))) | ((exists_in_world @ X3 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X2 @ Y0))))) = $true)) ) | ~spl0_32),
% 66.87/8.84 inference(avatar_component_clause,[],[f1197])).
% 66.87/8.84 thf(f1197,plain,(
% 66.87/8.84 spl0_32 <=> ! [X2 : mu,X3 : mu] : (((exists_in_world @ X3 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ X3 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X2 @ Y0)))))))),
% 66.87/8.84 introduced(avatar_definition,[new_symbols(naming,[spl0_32])])).
% 66.87/8.84 thf(f2441,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))) = $false) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2439])).
% 66.87/8.84 thf(f2382,plain,(
% 66.87/8.84 ((exists_in_world @ sK13 @ sK3) = $true) | ~spl0_2),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f2380])).
% 66.87/8.84 thf(f2154,plain,(
% 66.87/8.84 ~spl0_1 | ~spl0_61),
% 66.87/8.84 inference(avatar_contradiction_clause,[],[f2153])).
% 66.87/8.84 thf(f2153,plain,(
% 66.87/8.84 $false | (~spl0_1 | ~spl0_61)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f2152])).
% 66.87/8.84 thf(f2152,plain,(
% 66.87/8.84 ($false = $true) | (~spl0_1 | ~spl0_61)),
% 66.87/8.84 inference(backward_demodulation,[],[f1234,f2151])).
% 66.87/8.84 thf(f2151,plain,(
% 66.87/8.84 ((exists_in_world @ sK18 @ sK17) = $false) | (~spl0_1 | ~spl0_61)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f2150])).
% 66.87/8.84 thf(f2150,plain,(
% 66.87/8.84 ((exists_in_world @ sK18 @ sK17) = $false) | ($false = $true) | (~spl0_1 | ~spl0_61)),
% 66.87/8.84 inference(forward_demodulation,[],[f2149,f1272])).
% 66.87/8.84 thf(f1272,plain,(
% 66.87/8.84 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK18 @ Y0)))))) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1269])).
% 66.87/8.84 thf(f1269,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK18 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK18 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK18 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ sK20 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ sK20 @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK23 @ sK24 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0))))))))))))))))))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1268])).
% 66.87/8.84 thf(f1268,plain,(
% 66.87/8.84 (((exists_in_world @ sK27 @ sK17) => ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK18 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK18 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK18 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ sK20 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ sK20 @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK23 @ sK24 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0)))))))))))))))))))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(beta_eta_normalization,[],[f1267])).
% 66.87/8.84 thf(f1267,plain,(
% 66.87/8.84 (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (seat @ sK18 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (furniture @ sK18 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (front @ sK18 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (hollywood @ sK19 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (city @ sK19 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (event @ sK20 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (chevy @ sK21 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (car @ sK21 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (white @ sK21 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (dirty @ sK21 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (old @ sK21 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (street @ sK22 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (way @ sK22 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (lonely @ sK22 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (barrel @ sK20 @ sK21 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (down @ sK20 @ sK22 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (in @ sK20 @ sK19 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (seat @ sK25 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (furniture @ sK25 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (front @ sK25 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ sK23 @ sK24 @ Y2))))))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (fellow @ sK23 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (man @ sK23 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (young @ sK23 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (fellow @ sK24 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (man @ sK24 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (young @ sK24 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (qmltpeq @ sK23 @ sK26 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (in @ sK26 @ sK25 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (qmltpeq @ sK24 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (in @ Y0 @ sK18 @ Y1))))))))))))))))))))))))))))))))))))) @ sK27) = $false) | ~spl0_1),
% 66.87/8.84 inference(sigma_clausification,[],[f1265])).
% 66.87/8.84 thf(f1265,plain,(
% 66.87/8.84 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (seat @ sK18 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (furniture @ sK18 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (front @ sK18 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (hollywood @ sK19 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (city @ sK19 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (event @ sK20 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (chevy @ sK21 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (car @ sK21 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (white @ sK21 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (dirty @ sK21 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (old @ sK21 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (street @ sK22 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (way @ sK22 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (lonely @ sK22 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (barrel @ sK20 @ sK21 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (down @ sK20 @ sK22 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (in @ sK20 @ sK19 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (seat @ sK25 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (furniture @ sK25 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (front @ sK25 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ sK23 @ sK24 @ Y2))))))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (fellow @ sK23 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (man @ sK23 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (young @ sK23 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (fellow @ sK24 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (man @ sK24 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (young @ sK24 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (qmltpeq @ sK23 @ sK26 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (in @ sK26 @ sK25 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (qmltpeq @ sK24 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (in @ Y0 @ sK18 @ Y1)))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1264])).
% 66.87/8.84 thf(f1264,plain,(
% 66.87/8.84 (((exists_in_world @ sK26 @ sK17) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (seat @ sK18 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (furniture @ sK18 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (front @ sK18 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (hollywood @ sK19 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (city @ sK19 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (event @ sK20 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (chevy @ sK21 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (car @ sK21 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (white @ sK21 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (dirty @ sK21 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (old @ sK21 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (street @ sK22 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (way @ sK22 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (lonely @ sK22 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (barrel @ sK20 @ sK21 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (down @ sK20 @ sK22 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (in @ sK20 @ sK19 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (seat @ sK25 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (furniture @ sK25 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (front @ sK25 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ sK23 @ sK24 @ Y2))))))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (fellow @ sK23 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (man @ sK23 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (young @ sK23 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (fellow @ sK24 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (man @ sK24 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (young @ sK24 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (qmltpeq @ sK23 @ sK26 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (in @ sK26 @ sK25 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (qmltpeq @ sK24 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (in @ Y0 @ sK18 @ Y1))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(beta_eta_normalization,[],[f1263])).
% 66.87/8.84 thf(f1263,plain,(
% 66.87/8.84 ($false = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (seat @ sK18 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (furniture @ sK18 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (front @ sK18 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (hollywood @ sK19 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (city @ sK19 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (event @ sK20 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (chevy @ sK21 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (car @ sK21 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (white @ sK21 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (dirty @ sK21 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (old @ sK21 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (street @ sK22 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (way @ sK22 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (lonely @ sK22 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (barrel @ sK20 @ sK21 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (down @ sK20 @ sK22 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (in @ sK20 @ sK19 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (seat @ sK25 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (furniture @ sK25 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (front @ sK25 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (qmltpeq @ sK23 @ sK24 @ Y3))))))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (fellow @ sK23 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (man @ sK23 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (young @ sK23 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (fellow @ sK24 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (man @ sK24 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (young @ sK24 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (qmltpeq @ sK23 @ Y0 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (in @ Y0 @ sK25 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (qmltpeq @ sK24 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (in @ Y1 @ sK18 @ Y2)))))))))))))))))))))))))))))))))))))))) @ sK26)) | ~spl0_1),
% 66.87/8.84 inference(sigma_clausification,[],[f1261])).
% 66.87/8.84 thf(f1261,plain,(
% 66.87/8.84 ($false = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (seat @ sK18 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (furniture @ sK18 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (front @ sK18 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (hollywood @ sK19 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (city @ sK19 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (event @ sK20 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (chevy @ sK21 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (car @ sK21 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (white @ sK21 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (dirty @ sK21 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (old @ sK21 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (street @ sK22 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (way @ sK22 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (lonely @ sK22 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (barrel @ sK20 @ sK21 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (down @ sK20 @ sK22 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (in @ sK20 @ sK19 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (seat @ sK25 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (furniture @ sK25 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (front @ sK25 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (qmltpeq @ sK23 @ sK24 @ Y3))))))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (fellow @ sK23 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (man @ sK23 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (young @ sK23 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (fellow @ sK24 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (man @ sK24 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (young @ sK24 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (qmltpeq @ sK23 @ Y0 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (in @ Y0 @ sK25 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (qmltpeq @ sK24 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (in @ Y1 @ sK18 @ Y2)))))))))))))))))))))))))))))))))))))))))) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1260])).
% 66.87/8.84 thf(f1260,plain,(
% 66.87/8.84 (((exists_in_world @ sK25 @ sK17) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (seat @ sK18 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (furniture @ sK18 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (front @ sK18 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (hollywood @ sK19 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (city @ sK19 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (event @ sK20 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (chevy @ sK21 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (car @ sK21 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (white @ sK21 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (dirty @ sK21 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (old @ sK21 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (street @ sK22 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (way @ sK22 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (lonely @ sK22 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (barrel @ sK20 @ sK21 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (down @ sK20 @ sK22 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (in @ sK20 @ sK19 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (seat @ sK25 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (furniture @ sK25 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (front @ sK25 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (qmltpeq @ sK23 @ sK24 @ Y3))))))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (fellow @ sK23 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (man @ sK23 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (young @ sK23 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (fellow @ sK24 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (man @ sK24 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (young @ sK24 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (qmltpeq @ sK23 @ Y0 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (in @ Y0 @ sK25 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (qmltpeq @ sK24 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (in @ Y1 @ sK18 @ Y2)))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(beta_eta_normalization,[],[f1259])).
% 66.87/8.84 thf(f1259,plain,(
% 66.87/8.84 (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (seat @ sK18 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (furniture @ sK18 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (front @ sK18 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (hollywood @ sK19 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (city @ sK19 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (event @ sK20 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (chevy @ sK21 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (car @ sK21 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (white @ sK21 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (dirty @ sK21 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (old @ sK21 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (street @ sK22 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (way @ sK22 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (lonely @ sK22 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (barrel @ sK20 @ sK21 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (down @ sK20 @ sK22 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (in @ sK20 @ sK19 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (seat @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (furniture @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (front @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (qmltpeq @ sK23 @ sK24 @ Y4))))))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (fellow @ sK23 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (man @ sK23 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (young @ sK23 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (fellow @ sK24 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (man @ sK24 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (young @ sK24 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (qmltpeq @ sK23 @ Y1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (in @ Y1 @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (qmltpeq @ sK24 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (in @ Y2 @ sK18 @ Y3))))))))))))))))))))))))))))))))))))))))))) @ sK25) = $false) | ~spl0_1),
% 66.87/8.84 inference(sigma_clausification,[],[f1257])).
% 66.87/8.84 thf(f1257,plain,(
% 66.87/8.84 ($false = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (seat @ sK18 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (furniture @ sK18 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (front @ sK18 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (hollywood @ sK19 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (city @ sK19 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (event @ sK20 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (chevy @ sK21 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (car @ sK21 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (white @ sK21 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (dirty @ sK21 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (old @ sK21 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (street @ sK22 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (way @ sK22 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (lonely @ sK22 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (barrel @ sK20 @ sK21 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (down @ sK20 @ sK22 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (in @ sK20 @ sK19 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (seat @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (furniture @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (front @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (qmltpeq @ sK23 @ sK24 @ Y4))))))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (fellow @ sK23 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (man @ sK23 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (young @ sK23 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (fellow @ sK24 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (man @ sK24 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (young @ sK24 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (qmltpeq @ sK23 @ Y1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (in @ Y1 @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (qmltpeq @ sK24 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (in @ Y2 @ sK18 @ Y3))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1256])).
% 66.87/8.84 thf(f1256,plain,(
% 66.87/8.84 (((exists_in_world @ sK24 @ sK17) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (seat @ sK18 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (furniture @ sK18 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (front @ sK18 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (hollywood @ sK19 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (city @ sK19 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (event @ sK20 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (chevy @ sK21 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (car @ sK21 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (white @ sK21 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (dirty @ sK21 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (old @ sK21 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (street @ sK22 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (way @ sK22 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (lonely @ sK22 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (barrel @ sK20 @ sK21 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (down @ sK20 @ sK22 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (in @ sK20 @ sK19 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (seat @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (furniture @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (front @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (qmltpeq @ sK23 @ sK24 @ Y4))))))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (fellow @ sK23 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (man @ sK23 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (young @ sK23 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (fellow @ sK24 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (man @ sK24 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (young @ sK24 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (qmltpeq @ sK23 @ Y1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (in @ Y1 @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (qmltpeq @ sK24 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (in @ Y2 @ sK18 @ Y3))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(beta_eta_normalization,[],[f1255])).
% 66.87/8.84 thf(f1255,plain,(
% 66.87/8.84 ($false = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (seat @ sK18 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (furniture @ sK18 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (front @ sK18 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (hollywood @ sK19 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (city @ sK19 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (event @ sK20 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (chevy @ sK21 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (car @ sK21 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (white @ sK21 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (dirty @ sK21 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (old @ sK21 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (street @ sK22 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (way @ sK22 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (lonely @ sK22 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (barrel @ sK20 @ sK21 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (down @ sK20 @ sK22 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (in @ sK20 @ sK19 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (seat @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (furniture @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (front @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (qmltpeq @ sK23 @ Y0 @ Y5))))))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (fellow @ sK23 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (man @ sK23 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (young @ sK23 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (fellow @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (man @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (young @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (qmltpeq @ sK23 @ Y2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (in @ Y2 @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (qmltpeq @ Y0 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (in @ Y3 @ sK18 @ Y4)))))))))))))))))))))))))))))))))))))))))))))) @ sK24)) | ~spl0_1),
% 66.87/8.84 inference(sigma_clausification,[],[f1253])).
% 66.87/8.84 thf(f1253,plain,(
% 66.87/8.84 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (seat @ sK18 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (furniture @ sK18 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (front @ sK18 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (hollywood @ sK19 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (city @ sK19 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (event @ sK20 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (chevy @ sK21 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (car @ sK21 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (white @ sK21 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (dirty @ sK21 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (old @ sK21 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (street @ sK22 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (way @ sK22 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (lonely @ sK22 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (barrel @ sK20 @ sK21 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (down @ sK20 @ sK22 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (in @ sK20 @ sK19 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (seat @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (furniture @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (front @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (qmltpeq @ sK23 @ Y0 @ Y5))))))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (fellow @ sK23 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (man @ sK23 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (young @ sK23 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (fellow @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (man @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (young @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (qmltpeq @ sK23 @ Y2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (in @ Y2 @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (qmltpeq @ Y0 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (in @ Y3 @ sK18 @ Y4))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1252])).
% 66.87/8.84 thf(f1252,plain,(
% 66.87/8.84 ($false = ((exists_in_world @ sK23 @ sK17) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (seat @ sK18 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (furniture @ sK18 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (front @ sK18 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (hollywood @ sK19 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (city @ sK19 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (event @ sK20 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (chevy @ sK21 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (car @ sK21 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (white @ sK21 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (dirty @ sK21 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (old @ sK21 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (street @ sK22 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (way @ sK22 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (lonely @ sK22 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (barrel @ sK20 @ sK21 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (down @ sK20 @ sK22 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (in @ sK20 @ sK19 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (seat @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (furniture @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (front @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (qmltpeq @ sK23 @ Y0 @ Y5))))))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (fellow @ sK23 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (man @ sK23 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (young @ sK23 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (fellow @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (man @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (young @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (qmltpeq @ sK23 @ Y2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (in @ Y2 @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (qmltpeq @ Y0 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (in @ Y3 @ sK18 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_1),
% 66.87/8.84 inference(beta_eta_normalization,[],[f1251])).
% 66.87/8.84 thf(f1251,plain,(
% 66.87/8.84 (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (seat @ sK18 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (furniture @ sK18 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (front @ sK18 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (hollywood @ sK19 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (city @ sK19 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (event @ sK20 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (chevy @ sK21 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (car @ sK21 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (white @ sK21 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (dirty @ sK21 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (old @ sK21 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (street @ sK22 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (way @ sK22 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (lonely @ sK22 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (barrel @ sK20 @ sK21 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (down @ sK20 @ sK22 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (in @ sK20 @ sK19 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (seat @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (furniture @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (front @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (qmltpeq @ Y0 @ Y1 @ Y6))))))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (fellow @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (man @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (young @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (fellow @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (man @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (young @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (qmltpeq @ Y0 @ Y3 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (in @ Y3 @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (qmltpeq @ Y1 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (in @ Y4 @ sK18 @ Y5))))))))))))))))))))))))))))))))))))))))))))))))) @ sK23) = $false) | ~spl0_1),
% 66.87/8.84 inference(sigma_clausification,[],[f1249])).
% 66.87/8.84 thf(f1249,plain,(
% 66.87/8.84 ($false = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (seat @ sK18 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (furniture @ sK18 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (front @ sK18 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (hollywood @ sK19 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (city @ sK19 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (event @ sK20 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (chevy @ sK21 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (car @ sK21 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (white @ sK21 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (dirty @ sK21 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (old @ sK21 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (street @ sK22 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (way @ sK22 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (lonely @ sK22 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (barrel @ sK20 @ sK21 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (down @ sK20 @ sK22 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (in @ sK20 @ sK19 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (seat @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (furniture @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (front @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (qmltpeq @ Y0 @ Y1 @ Y6))))))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (fellow @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (man @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (young @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (fellow @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (man @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (young @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (qmltpeq @ Y0 @ Y3 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (in @ Y3 @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (qmltpeq @ Y1 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (in @ Y4 @ sK18 @ Y5))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1248])).
% 66.87/8.84 thf(f1248,plain,(
% 66.87/8.84 (((exists_in_world @ sK22 @ sK17) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (seat @ sK18 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (furniture @ sK18 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (front @ sK18 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (hollywood @ sK19 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (city @ sK19 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (event @ sK20 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (chevy @ sK21 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (car @ sK21 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (white @ sK21 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (dirty @ sK21 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (old @ sK21 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (street @ sK22 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (way @ sK22 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (lonely @ sK22 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (barrel @ sK20 @ sK21 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (down @ sK20 @ sK22 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (in @ sK20 @ sK19 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (seat @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (furniture @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (front @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (qmltpeq @ Y0 @ Y1 @ Y6))))))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (fellow @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (man @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (young @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (fellow @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (man @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (young @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (qmltpeq @ Y0 @ Y3 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (in @ Y3 @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (qmltpeq @ Y1 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (in @ Y4 @ sK18 @ Y5))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(beta_eta_normalization,[],[f1247])).
% 66.87/8.84 thf(f1247,plain,(
% 66.87/8.84 (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (seat @ sK18 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (furniture @ sK18 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (front @ sK18 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (hollywood @ sK19 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (city @ sK19 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (event @ sK20 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (chevy @ sK21 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (car @ sK21 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (white @ sK21 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (dirty @ sK21 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (old @ sK21 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (street @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (way @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (lonely @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (barrel @ sK20 @ sK21 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (down @ sK20 @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (in @ sK20 @ sK19 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (seat @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (furniture @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (front @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (qmltpeq @ Y1 @ Y2 @ Y7))))))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (fellow @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (man @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (young @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (fellow @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (man @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (young @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (qmltpeq @ Y1 @ Y4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (in @ Y4 @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (qmltpeq @ Y2 @ Y5 @ Y6))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (in @ Y5 @ sK18 @ Y6)))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK22) = $false) | ~spl0_1),
% 66.87/8.84 inference(sigma_clausification,[],[f1245])).
% 66.87/8.84 thf(f1245,plain,(
% 66.87/8.84 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (seat @ sK18 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (furniture @ sK18 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (front @ sK18 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (hollywood @ sK19 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (city @ sK19 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (event @ sK20 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (chevy @ sK21 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (car @ sK21 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (white @ sK21 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (dirty @ sK21 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (old @ sK21 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (street @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (way @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (lonely @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (barrel @ sK20 @ sK21 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (down @ sK20 @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (in @ sK20 @ sK19 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (seat @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (furniture @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (front @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (qmltpeq @ Y1 @ Y2 @ Y7))))))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (fellow @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (man @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (young @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (fellow @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (man @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (young @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (qmltpeq @ Y1 @ Y4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (in @ Y4 @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (qmltpeq @ Y2 @ Y5 @ Y6))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (in @ Y5 @ sK18 @ Y6))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1244])).
% 66.87/8.84 thf(f1244,plain,(
% 66.87/8.84 ($false = ((exists_in_world @ sK21 @ sK17) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (seat @ sK18 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (furniture @ sK18 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (front @ sK18 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (hollywood @ sK19 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (city @ sK19 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (event @ sK20 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (chevy @ sK21 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (car @ sK21 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (white @ sK21 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (dirty @ sK21 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (old @ sK21 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (street @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (way @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (lonely @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (barrel @ sK20 @ sK21 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (down @ sK20 @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (in @ sK20 @ sK19 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (seat @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (furniture @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (front @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (qmltpeq @ Y1 @ Y2 @ Y7))))))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (fellow @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (man @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (young @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (fellow @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (man @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (young @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (qmltpeq @ Y1 @ Y4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (in @ Y4 @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (qmltpeq @ Y2 @ Y5 @ Y6))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (in @ Y5 @ sK18 @ Y6))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_1),
% 66.87/8.84 inference(beta_eta_normalization,[],[f1243])).
% 66.87/8.84 thf(f1243,plain,(
% 66.87/8.84 (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (seat @ sK18 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (furniture @ sK18 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (front @ sK18 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (hollywood @ sK19 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (city @ sK19 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (event @ sK20 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (chevy @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (car @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (white @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (dirty @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (old @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (street @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (way @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (lonely @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (barrel @ sK20 @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (down @ sK20 @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (in @ sK20 @ sK19 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (seat @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (furniture @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (front @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (qmltpeq @ Y2 @ Y3 @ Y8))))))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (fellow @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (man @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (young @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (fellow @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (man @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (young @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (qmltpeq @ Y2 @ Y5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (in @ Y5 @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (qmltpeq @ Y3 @ Y6 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (in @ Y6 @ sK18 @ Y7))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK21) = $false) | ~spl0_1),
% 66.87/8.84 inference(sigma_clausification,[],[f1241])).
% 66.87/8.84 thf(f1241,plain,(
% 66.87/8.84 ($false = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (seat @ sK18 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (furniture @ sK18 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (front @ sK18 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (hollywood @ sK19 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (city @ sK19 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (event @ sK20 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (chevy @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (car @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (white @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (dirty @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (old @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (street @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (way @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (lonely @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (barrel @ sK20 @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (down @ sK20 @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (in @ sK20 @ sK19 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (seat @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (furniture @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (front @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (qmltpeq @ Y2 @ Y3 @ Y8))))))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (fellow @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (man @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (young @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (fellow @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (man @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (young @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (qmltpeq @ Y2 @ Y5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (in @ Y5 @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (qmltpeq @ Y3 @ Y6 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (in @ Y6 @ sK18 @ Y7))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1240])).
% 66.87/8.84 thf(f1240,plain,(
% 66.87/8.84 (((exists_in_world @ sK20 @ sK17) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (seat @ sK18 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (furniture @ sK18 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (front @ sK18 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (hollywood @ sK19 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (city @ sK19 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (event @ sK20 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (chevy @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (car @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (white @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (dirty @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (old @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (street @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (way @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (lonely @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (barrel @ sK20 @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (down @ sK20 @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (in @ sK20 @ sK19 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (seat @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (furniture @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (front @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (qmltpeq @ Y2 @ Y3 @ Y8))))))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (fellow @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (man @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (young @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (fellow @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (man @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (young @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (qmltpeq @ Y2 @ Y5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (in @ Y5 @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (qmltpeq @ Y3 @ Y6 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (in @ Y6 @ sK18 @ Y7))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(beta_eta_normalization,[],[f1239])).
% 66.87/8.84 thf(f1239,plain,(
% 66.87/8.84 (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK17) => ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (seat @ sK18 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (furniture @ sK18 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (front @ sK18 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (hollywood @ sK19 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (city @ sK19 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (event @ Y0 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (chevy @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (car @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (white @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (dirty @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (old @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (street @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (way @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (lonely @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (barrel @ Y0 @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (down @ Y0 @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (in @ Y0 @ sK19 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (seat @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (furniture @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (front @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ Y8 @ Y9)) | (qmltpeq @ Y3 @ Y4 @ Y9))))))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (fellow @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (man @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (young @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (fellow @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (man @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (young @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (qmltpeq @ Y3 @ Y6 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (in @ Y6 @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (qmltpeq @ Y4 @ Y7 @ Y8))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (in @ Y7 @ sK18 @ Y8)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK20) = $false) | ~spl0_1),
% 66.87/8.84 inference(sigma_clausification,[],[f1237])).
% 66.87/8.84 thf(f1237,plain,(
% 66.87/8.84 ($false = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK17) => ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (seat @ sK18 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (furniture @ sK18 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (front @ sK18 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (hollywood @ sK19 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (city @ sK19 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (event @ Y0 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (chevy @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (car @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (white @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (dirty @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (old @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (street @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (way @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (lonely @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (barrel @ Y0 @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (down @ Y0 @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (in @ Y0 @ sK19 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (seat @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (furniture @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (front @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ Y8 @ Y9)) | (qmltpeq @ Y3 @ Y4 @ Y9))))))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (fellow @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (man @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (young @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (fellow @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (man @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (young @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (qmltpeq @ Y3 @ Y6 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (in @ Y6 @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (qmltpeq @ Y4 @ Y7 @ Y8))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (in @ Y7 @ sK18 @ Y8)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1236])).
% 66.87/8.84 thf(f1236,plain,(
% 66.87/8.84 ($false = ((exists_in_world @ sK19 @ sK17) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK17) => ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (seat @ sK18 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (furniture @ sK18 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (front @ sK18 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (hollywood @ sK19 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (city @ sK19 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (event @ Y0 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (chevy @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (car @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (white @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (dirty @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (old @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (street @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (way @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (lonely @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (barrel @ Y0 @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (down @ Y0 @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (in @ Y0 @ sK19 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (seat @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (furniture @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (front @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ Y8 @ Y9)) | (qmltpeq @ Y3 @ Y4 @ Y9))))))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (fellow @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (man @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (young @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (fellow @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (man @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (young @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (qmltpeq @ Y3 @ Y6 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (in @ Y6 @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (qmltpeq @ Y4 @ Y7 @ Y8))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (in @ Y7 @ sK18 @ Y8))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_1),
% 66.87/8.84 inference(beta_eta_normalization,[],[f1235])).
% 66.87/8.84 thf(f1235,plain,(
% 66.87/8.84 (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK17) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK17) => ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (seat @ sK18 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (furniture @ sK18 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (front @ sK18 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (hollywood @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (city @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (event @ Y1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (chevy @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (car @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (white @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (dirty @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (old @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (street @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (way @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (lonely @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (barrel @ Y1 @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (down @ Y1 @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (in @ Y1 @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (seat @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (furniture @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (front @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ Y9 @ Y10)) | (qmltpeq @ Y4 @ Y5 @ Y10))))))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (fellow @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (man @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (young @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (fellow @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (man @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (young @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (qmltpeq @ Y4 @ Y7 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (in @ Y7 @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (qmltpeq @ Y5 @ Y8 @ Y9))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (in @ Y8 @ sK18 @ Y9))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK19) = $false) | ~spl0_1),
% 66.87/8.84 inference(sigma_clausification,[],[f1233])).
% 66.87/8.84 thf(f1233,plain,(
% 66.87/8.84 ($false = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK17) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK17) => ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (seat @ sK18 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (furniture @ sK18 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (front @ sK18 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (hollywood @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (city @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (event @ Y1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (chevy @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (car @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (white @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (dirty @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (old @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (street @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (way @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (lonely @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (barrel @ Y1 @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (down @ Y1 @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (in @ Y1 @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (seat @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (furniture @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (front @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ Y9 @ Y10)) | (qmltpeq @ Y4 @ Y5 @ Y10))))))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (fellow @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (man @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (young @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (fellow @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (man @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (young @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (qmltpeq @ Y4 @ Y7 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (in @ Y7 @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (qmltpeq @ Y5 @ Y8 @ Y9))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (in @ Y8 @ sK18 @ Y9))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1232])).
% 66.87/8.84 thf(f1232,plain,(
% 66.87/8.84 (((exists_in_world @ sK18 @ sK17) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK17) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK17) => ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (seat @ sK18 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (furniture @ sK18 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (front @ sK18 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (hollywood @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (city @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (event @ Y1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (chevy @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (car @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (white @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (dirty @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (old @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (street @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (way @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (lonely @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (barrel @ Y1 @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (down @ Y1 @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (in @ Y1 @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (seat @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (furniture @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (front @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ Y9 @ Y10)) | (qmltpeq @ Y4 @ Y5 @ Y10))))))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (fellow @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (man @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (young @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (fellow @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (man @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (young @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (qmltpeq @ Y4 @ Y7 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (in @ Y7 @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (qmltpeq @ Y5 @ Y8 @ Y9))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (in @ Y8 @ sK18 @ Y9))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(beta_eta_normalization,[],[f1231])).
% 66.87/8.84 thf(f1231,plain,(
% 66.87/8.84 ($false = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK17) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK17) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ sK17) => ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (seat @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (furniture @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (front @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (hollywood @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (city @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (event @ Y2 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (chevy @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (car @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (white @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (dirty @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (old @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (street @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (way @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (lonely @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (barrel @ Y2 @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (down @ Y2 @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y2 @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (seat @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (furniture @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (front @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y10 @ Y11)) | (qmltpeq @ Y5 @ Y6 @ Y11))))))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (fellow @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (man @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (young @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (fellow @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (man @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (young @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (qmltpeq @ Y5 @ Y8 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y8 @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (qmltpeq @ Y6 @ Y9 @ Y10))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y9 @ Y0 @ Y10)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK18)) | ~spl0_1),
% 66.87/8.84 inference(sigma_clausification,[],[f1230])).
% 66.87/8.84 thf(f1230,plain,(
% 66.87/8.84 ($false = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK17) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK17) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ sK17) => ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (seat @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (furniture @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (front @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (hollywood @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (city @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (event @ Y2 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (chevy @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (car @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (white @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (dirty @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (old @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (street @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (way @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (lonely @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (barrel @ Y2 @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (down @ Y2 @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y2 @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (seat @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (furniture @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (front @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y10 @ Y11)) | (qmltpeq @ Y5 @ Y6 @ Y11))))))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (fellow @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (man @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (young @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (fellow @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (man @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (young @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (qmltpeq @ Y5 @ Y8 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y8 @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (qmltpeq @ Y6 @ Y9 @ Y10))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y9 @ Y0 @ Y10)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1227])).
% 66.87/8.84 thf(f1227,plain,(
% 66.87/8.84 (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK17) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK17) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ sK17) => ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (seat @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (furniture @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (front @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (hollywood @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (city @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (event @ Y2 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (chevy @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (car @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (white @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (dirty @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (old @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (street @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (way @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (lonely @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (barrel @ Y2 @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (down @ Y2 @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y2 @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (seat @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (furniture @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (front @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y10 @ Y11)) | (qmltpeq @ Y5 @ Y6 @ Y11))))))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (fellow @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (man @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (young @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (fellow @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (man @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (young @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (qmltpeq @ Y5 @ Y8 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y8 @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (qmltpeq @ Y6 @ Y9 @ Y10))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y9 @ Y0 @ Y10))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK17) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK17) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ sK17) => ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (seat @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (furniture @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (front @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (hollywood @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (city @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (event @ Y2 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (chevy @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (car @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (white @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (dirty @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (old @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (street @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (way @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (lonely @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (barrel @ Y2 @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (down @ Y2 @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y2 @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (seat @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (furniture @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (front @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y10 @ Y11)) | (qmltpeq @ Y5 @ Y6 @ Y11))))))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (fellow @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (man @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (young @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (fellow @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (man @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (young @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (qmltpeq @ Y5 @ Y8 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y8 @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (qmltpeq @ Y6 @ Y9 @ Y10))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y9 @ Y7 @ Y10))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1226])).
% 66.87/8.84 thf(f1226,plain,(
% 66.87/8.84 (((~ (rel_s4 @ sK2 @ sK17)) | ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK17) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK17) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ sK17) => ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (seat @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (furniture @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (front @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (hollywood @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (city @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (event @ Y2 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (chevy @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (car @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (white @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (dirty @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (old @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (street @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (way @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (lonely @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (barrel @ Y2 @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (down @ Y2 @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y2 @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (seat @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (furniture @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (front @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y10 @ Y11)) | (qmltpeq @ Y5 @ Y6 @ Y11))))))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (fellow @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (man @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (young @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (fellow @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (man @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (young @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (qmltpeq @ Y5 @ Y8 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y8 @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (qmltpeq @ Y6 @ Y9 @ Y10))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y9 @ Y0 @ Y10))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK17) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK17) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ sK17) => ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (seat @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (furniture @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (front @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (hollywood @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (city @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (event @ Y2 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (chevy @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (car @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (white @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (dirty @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (old @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (street @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (way @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (lonely @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (barrel @ Y2 @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (down @ Y2 @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y2 @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (seat @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (furniture @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (front @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y10 @ Y11)) | (qmltpeq @ Y5 @ Y6 @ Y11))))))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (fellow @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (man @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (young @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (fellow @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (man @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (young @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (qmltpeq @ Y5 @ Y8 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y8 @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (qmltpeq @ Y6 @ Y9 @ Y10))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y9 @ Y7 @ Y10)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(beta_eta_normalization,[],[f1225])).
% 66.87/8.84 thf(f1225,plain,(
% 66.87/8.84 ($false = ((^[Y0 : $i]: ((~ (rel_s4 @ sK2 @ Y0)) | ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y1 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y8 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK17)) | ~spl0_1),
% 66.87/8.84 inference(sigma_clausification,[],[f1224])).
% 66.87/8.84 thf(f1224,plain,(
% 66.87/8.84 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK2 @ Y0)) | ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y1 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y8 @ Y11)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(not_proxy_clausification,[],[f432])).
% 66.87/8.84 thf(f432,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK2 @ Y0)) | ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y1 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y8 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true) | ~spl0_1),
% 66.87/8.84 inference(avatar_component_clause,[],[f431])).
% 66.87/8.84 thf(f431,plain,(
% 66.87/8.84 spl0_1 <=> ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK2 @ Y0)) | ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y1 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y8 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.84 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 66.87/8.84 thf(f2149,plain,(
% 66.87/8.84 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK18 @ Y0)))))) | ((exists_in_world @ sK18 @ sK17) = $false) | (~spl0_1 | ~spl0_61)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f2148])).
% 66.87/8.84 thf(f2148,plain,(
% 66.87/8.84 ((exists_in_world @ sK18 @ sK17) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK18 @ Y0)))))) | ($false = $true) | (~spl0_1 | ~spl0_61)),
% 66.87/8.84 inference(forward_demodulation,[],[f2147,f1276])).
% 66.87/8.84 thf(f1276,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK18 @ Y0))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1273])).
% 66.87/8.84 thf(f1273,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK18 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ sK20 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ sK20 @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK23 @ sK24 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0))))))))))))))))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1271])).
% 66.87/8.84 thf(f1271,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK18 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK18 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ sK20 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ sK20 @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK23 @ sK24 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0)))))))))))))))))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1269])).
% 66.87/8.84 thf(f2147,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK18 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK18 @ Y0)))))) | ((exists_in_world @ sK18 @ sK17) = $false) | (~spl0_1 | ~spl0_61)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f2146])).
% 66.87/8.84 thf(f2146,plain,(
% 66.87/8.84 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK18 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK18 @ Y0))))) = $true) | ((exists_in_world @ sK18 @ sK17) = $false) | ($false = $true) | (~spl0_1 | ~spl0_61)),
% 66.87/8.84 inference(forward_demodulation,[],[f2135,f1274])).
% 66.87/8.84 thf(f1274,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK18 @ Y0))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1271])).
% 66.87/8.84 thf(f2135,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK18 @ Y0))))) = $true) | ((exists_in_world @ sK18 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK18 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK18 @ Y0)))))) | (~spl0_1 | ~spl0_61)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f2133])).
% 66.87/8.84 thf(f2133,plain,(
% 66.87/8.84 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK18 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK18 @ Y0))))) = $true) | ($false = $true) | ((exists_in_world @ sK18 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK18 @ Y0))))) = $true) | (~spl0_1 | ~spl0_61)),
% 66.87/8.84 inference(superposition,[],[f2127,f1329])).
% 66.87/8.84 thf(f1329,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1327])).
% 66.87/8.84 thf(f1327,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0)))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1325])).
% 66.87/8.84 thf(f1325,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1323])).
% 66.87/8.84 thf(f1323,plain,(
% 66.87/8.84 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0))))))))) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1321])).
% 66.87/8.84 thf(f1321,plain,(
% 66.87/8.84 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0)))))))))) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1319])).
% 66.87/8.84 thf(f1319,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0)))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1317])).
% 66.87/8.84 thf(f1317,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1315])).
% 66.87/8.84 thf(f1315,plain,(
% 66.87/8.84 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0))))))))))))) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1313])).
% 66.87/8.84 thf(f1313,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1311])).
% 66.87/8.84 thf(f1311,plain,(
% 66.87/8.84 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0))))))))))))))) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1309])).
% 66.87/8.84 thf(f1309,plain,(
% 66.87/8.84 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK23 @ sK24 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0)))))))))))))))) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1307])).
% 66.87/8.84 thf(f1307,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK23 @ sK24 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0)))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1305])).
% 66.87/8.84 thf(f1305,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK23 @ sK24 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1303])).
% 66.87/8.84 thf(f1303,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK23 @ sK24 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0)))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1301])).
% 66.87/8.84 thf(f1301,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK23 @ sK24 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1299])).
% 66.87/8.84 thf(f1299,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK23 @ sK24 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0)))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1297])).
% 66.87/8.84 thf(f1297,plain,(
% 66.87/8.84 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ sK20 @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK23 @ sK24 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0)))))))))))))))))))))) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1295])).
% 66.87/8.84 thf(f1295,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ sK20 @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK23 @ sK24 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0)))))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1293])).
% 66.87/8.84 thf(f1293,plain,(
% 66.87/8.84 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ sK20 @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK23 @ sK24 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0)))))))))))))))))))))))) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1291])).
% 66.87/8.84 thf(f1291,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ sK20 @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK23 @ sK24 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0)))))))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1289])).
% 66.87/8.84 thf(f1289,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ sK20 @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK23 @ sK24 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0))))))))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1287])).
% 66.87/8.84 thf(f1287,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ sK20 @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK23 @ sK24 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0)))))))))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1285])).
% 66.87/8.84 thf(f1285,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ sK20 @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK23 @ sK24 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0))))))))))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1283])).
% 66.87/8.84 thf(f1283,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ sK20 @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK23 @ sK24 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0)))))))))))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1281])).
% 66.87/8.84 thf(f1281,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ sK20 @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK23 @ sK24 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0))))))))))))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1279])).
% 66.87/8.84 thf(f1279,plain,(
% 66.87/8.84 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ sK20 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ sK20 @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK23 @ sK24 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0))))))))))))))))))))))))))))))) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1277])).
% 66.87/8.84 thf(f1277,plain,(
% 66.87/8.84 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ sK20 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ sK20 @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK23 @ sK24 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0))))))))))))))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1275])).
% 66.87/8.84 thf(f1275,plain,(
% 66.87/8.84 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ sK20 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ sK20 @ sK21 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ sK22 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ sK19 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK23 @ sK24 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ sK18 @ Y0))))))))))))))))))))))))))))))))) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1273])).
% 66.87/8.84 thf(f2127,plain,(
% 66.87/8.84 ( ! [X0 : mu] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ X0 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X0 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X0 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK17))) ) | (~spl0_1 | ~spl0_61)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f2126])).
% 66.87/8.84 thf(f2126,plain,(
% 66.87/8.84 ( ! [X0 : mu] : (($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X0 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X0 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ X0 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK17)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X0 @ Y0))))))) ) | (~spl0_1 | ~spl0_61)),
% 66.87/8.84 inference(forward_demodulation,[],[f2125,f1270])).
% 66.87/8.84 thf(f1270,plain,(
% 66.87/8.84 ((exists_in_world @ sK27 @ sK17) = $true) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1268])).
% 66.87/8.84 thf(f2125,plain,(
% 66.87/8.84 ( ! [X0 : mu] : (((exists_in_world @ sK27 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X0 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ X0 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X0 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X0 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK17))) ) | (~spl0_1 | ~spl0_61)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f2123])).
% 66.87/8.84 thf(f2123,plain,(
% 66.87/8.84 ( ! [X0 : mu] : (($false = (exists_in_world @ X0 @ sK17)) | ((exists_in_world @ sK27 @ sK17) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X0 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X0 @ Y0))))) = $true) | ($false = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK27 @ X0 @ Y0))))))) ) | (~spl0_1 | ~spl0_61)),
% 66.87/8.84 inference(superposition,[],[f1330,f1979])).
% 66.87/8.84 thf(f1979,plain,(
% 66.87/8.84 ( ! [X3 : mu,X0 : mu] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X3 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X0 @ X3 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X3 @ Y0))))) = $true)) ) | ~spl0_61),
% 66.87/8.84 inference(avatar_component_clause,[],[f1978])).
% 66.87/8.84 thf(f1978,plain,(
% 66.87/8.84 spl0_61 <=> ! [X0 : mu,X3 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X3 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X3 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X0 @ X3 @ Y0))))) = $true))),
% 66.87/8.84 introduced(avatar_definition,[new_symbols(naming,[spl0_61])])).
% 66.87/8.84 thf(f1330,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ sK27 @ Y0))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1327])).
% 66.87/8.84 thf(f1234,plain,(
% 66.87/8.84 ((exists_in_world @ sK18 @ sK17) = $true) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1232])).
% 66.87/8.84 thf(f2120,plain,(
% 66.87/8.84 ~spl0_1 | ~spl0_62),
% 66.87/8.84 inference(avatar_contradiction_clause,[],[f2119])).
% 66.87/8.84 thf(f2119,plain,(
% 66.87/8.84 $false | (~spl0_1 | ~spl0_62)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f2118])).
% 66.87/8.84 thf(f2118,plain,(
% 66.87/8.84 ($false = $true) | (~spl0_1 | ~spl0_62)),
% 66.87/8.84 inference(forward_demodulation,[],[f2117,f1308])).
% 66.87/8.84 thf(f1308,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) = $false) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1305])).
% 66.87/8.84 thf(f2117,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) = $true) | (~spl0_1 | ~spl0_62)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f2116])).
% 66.87/8.84 thf(f2116,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) = $true) | ($false = $true) | (~spl0_1 | ~spl0_62)),
% 66.87/8.84 inference(forward_demodulation,[],[f2115,f1262])).
% 66.87/8.84 thf(f1262,plain,(
% 66.87/8.84 ($true = (exists_in_world @ sK25 @ sK17)) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1260])).
% 66.87/8.84 thf(f2115,plain,(
% 66.87/8.84 ($false = (exists_in_world @ sK25 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) = $true) | (~spl0_1 | ~spl0_62)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f2114])).
% 66.87/8.84 thf(f2114,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) = $true) | ($false = (exists_in_world @ sK25 @ sK17)) | ($false = $true) | (~spl0_1 | ~spl0_62)),
% 66.87/8.84 inference(forward_demodulation,[],[f2113,f1266])).
% 66.87/8.84 thf(f1266,plain,(
% 66.87/8.84 ((exists_in_world @ sK26 @ sK17) = $true) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1264])).
% 66.87/8.84 thf(f2113,plain,(
% 66.87/8.84 ((exists_in_world @ sK26 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) = $true) | ($false = (exists_in_world @ sK25 @ sK17)) | (~spl0_1 | ~spl0_62)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f2112])).
% 66.87/8.84 thf(f2112,plain,(
% 66.87/8.84 ($false = $true) | ((exists_in_world @ sK26 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) = $true) | ($false = (exists_in_world @ sK25 @ sK17)) | (~spl0_1 | ~spl0_62)),
% 66.87/8.84 inference(forward_demodulation,[],[f2111,f1306])).
% 66.87/8.84 thf(f1306,plain,(
% 66.87/8.84 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK25 @ Y0)))))) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1303])).
% 66.87/8.84 thf(f2111,plain,(
% 66.87/8.84 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK25 @ Y0)))))) | ($false = (exists_in_world @ sK25 @ sK17)) | ((exists_in_world @ sK26 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) = $true) | (~spl0_1 | ~spl0_62)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f2110])).
% 66.87/8.84 thf(f2110,plain,(
% 66.87/8.84 ($false = (exists_in_world @ sK25 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) = $true) | ((exists_in_world @ sK26 @ sK17) = $false) | ($false = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK25 @ Y0)))))) | (~spl0_1 | ~spl0_62)),
% 66.87/8.84 inference(forward_demodulation,[],[f2109,f1310])).
% 66.87/8.84 thf(f1310,plain,(
% 66.87/8.84 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK25 @ Y0)))))) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1307])).
% 66.87/8.84 thf(f2109,plain,(
% 66.87/8.84 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK25 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK25 @ Y0)))))) | ((exists_in_world @ sK26 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) = $true) | ($false = (exists_in_world @ sK25 @ sK17)) | (~spl0_1 | ~spl0_62)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f2108])).
% 66.87/8.84 thf(f2108,plain,(
% 66.87/8.84 ($false = (exists_in_world @ sK25 @ sK17)) | ($false = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK25 @ Y0)))))) | ((exists_in_world @ sK26 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK25 @ Y0)))))) | (~spl0_1 | ~spl0_62)),
% 66.87/8.84 inference(forward_demodulation,[],[f2054,f1326])).
% 66.87/8.84 thf(f1326,plain,(
% 66.87/8.84 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0)))))) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1323])).
% 66.87/8.84 thf(f2054,plain,(
% 66.87/8.84 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK25 @ Y0)))))) | ((exists_in_world @ sK26 @ sK17) = $false) | ($false = (exists_in_world @ sK25 @ sK17)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK25 @ Y0)))))) | (~spl0_1 | ~spl0_62)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f2051])).
% 66.87/8.84 thf(f2051,plain,(
% 66.87/8.84 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ sK25 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ sK26 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ sK25 @ Y0)))))) | ($false = (exists_in_world @ sK25 @ sK17)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ sK25 @ Y0)))))) | ($false = $true) | ((exists_in_world @ sK26 @ sK17) = $false) | (~spl0_1 | ~spl0_62)),
% 66.87/8.84 inference(superposition,[],[f1328,f1982])).
% 66.87/8.84 thf(f1982,plain,(
% 66.87/8.84 ( ! [X2 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X2 @ X1 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false)) ) | ~spl0_62),
% 66.87/8.84 inference(avatar_component_clause,[],[f1981])).
% 66.87/8.84 thf(f1981,plain,(
% 66.87/8.84 spl0_62 <=> ! [X2 : mu,X1 : mu] : (((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X2 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ X2 @ Y0))))) = $true))),
% 66.87/8.84 introduced(avatar_definition,[new_symbols(naming,[spl0_62])])).
% 66.87/8.84 thf(f1328,plain,(
% 66.87/8.84 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK26 @ sK25 @ Y0)))))) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1325])).
% 66.87/8.84 thf(f2041,plain,(
% 66.87/8.84 ~spl0_1 | ~spl0_60),
% 66.87/8.84 inference(avatar_contradiction_clause,[],[f2040])).
% 66.87/8.84 thf(f2040,plain,(
% 66.87/8.84 $false | (~spl0_1 | ~spl0_60)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f2039])).
% 66.87/8.84 thf(f2039,plain,(
% 66.87/8.84 ($false = $true) | (~spl0_1 | ~spl0_60)),
% 66.87/8.84 inference(backward_demodulation,[],[f1250,f2038])).
% 66.87/8.84 thf(f2038,plain,(
% 66.87/8.84 ($false = (exists_in_world @ sK22 @ sK17)) | (~spl0_1 | ~spl0_60)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f2037])).
% 66.87/8.84 thf(f2037,plain,(
% 66.87/8.84 ($false = (exists_in_world @ sK22 @ sK17)) | ($false = $true) | (~spl0_1 | ~spl0_60)),
% 66.87/8.84 inference(forward_demodulation,[],[f2036,f1296])).
% 66.87/8.84 thf(f1296,plain,(
% 66.87/8.84 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ sK22 @ Y0)))))) | ~spl0_1),
% 66.87/8.84 inference(binary_proxy_clausification,[],[f1293])).
% 66.87/8.84 thf(f2036,plain,(
% 66.87/8.84 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ sK22 @ Y0)))))) | ($false = (exists_in_world @ sK22 @ sK17)) | (~spl0_1 | ~spl0_60)),
% 66.87/8.84 inference(trivial_inequality_removal,[],[f2035])).
% 66.87/8.85 thf(f2035,plain,(
% 66.87/8.85 ($false = $true) | ($false = (exists_in_world @ sK22 @ sK17)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ sK22 @ Y0)))))) | (~spl0_1 | ~spl0_60)),
% 66.87/8.85 inference(forward_demodulation,[],[f2034,f1298])).
% 66.87/8.85 thf(f1298,plain,(
% 66.87/8.85 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ sK22 @ Y0)))))) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1295])).
% 66.87/8.85 thf(f2034,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ sK22 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ sK22 @ Y0)))))) | ($false = (exists_in_world @ sK22 @ sK17)) | (~spl0_1 | ~spl0_60)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f2033])).
% 66.87/8.85 thf(f2033,plain,(
% 66.87/8.85 ($false = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ sK22 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ sK22 @ Y0))))) = $true) | ($false = (exists_in_world @ sK22 @ sK17)) | (~spl0_1 | ~spl0_60)),
% 66.87/8.85 inference(forward_demodulation,[],[f2032,f1294])).
% 66.87/8.85 thf(f1294,plain,(
% 66.87/8.85 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ sK22 @ Y0)))))) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1291])).
% 66.87/8.85 thf(f2032,plain,(
% 66.87/8.85 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ sK22 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ sK22 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ sK22 @ Y0)))))) | ($false = (exists_in_world @ sK22 @ sK17)) | (~spl0_1 | ~spl0_60)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f2029])).
% 66.87/8.85 thf(f2029,plain,(
% 66.87/8.85 ($false = (exists_in_world @ sK22 @ sK17)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ sK22 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ sK22 @ Y0)))))) | ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ sK22 @ Y0))))) = $true) | (~spl0_1 | ~spl0_60)),
% 66.87/8.85 inference(superposition,[],[f1933,f1302])).
% 66.87/8.85 thf(f1302,plain,(
% 66.87/8.85 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ sK22 @ Y0)))))) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1299])).
% 66.87/8.85 thf(f1933,plain,(
% 66.87/8.85 ( ! [X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X1 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false)) ) | ~spl0_60),
% 66.87/8.85 inference(avatar_component_clause,[],[f1932])).
% 66.87/8.85 thf(f1932,plain,(
% 66.87/8.85 spl0_60 <=> ! [X1 : mu] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X1 @ Y0)))))) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X1 @ Y0))))) = $true))),
% 66.87/8.85 introduced(avatar_definition,[new_symbols(naming,[spl0_60])])).
% 66.87/8.85 thf(f1250,plain,(
% 66.87/8.85 ((exists_in_world @ sK22 @ sK17) = $true) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1248])).
% 66.87/8.85 thf(f2027,plain,(
% 66.87/8.85 ~spl0_1 | ~spl0_59),
% 66.87/8.85 inference(avatar_contradiction_clause,[],[f2026])).
% 66.87/8.85 thf(f2026,plain,(
% 66.87/8.85 $false | (~spl0_1 | ~spl0_59)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f2025])).
% 66.87/8.85 thf(f2025,plain,(
% 66.87/8.85 ($false = $true) | (~spl0_1 | ~spl0_59)),
% 66.87/8.85 inference(forward_demodulation,[],[f2024,f1280])).
% 66.87/8.85 thf(f1280,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ sK19 @ Y0))))) = $false) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1277])).
% 66.87/8.85 thf(f2024,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ sK19 @ Y0))))) = $true) | (~spl0_1 | ~spl0_59)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f2023])).
% 66.87/8.85 thf(f2023,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ sK19 @ Y0))))) = $true) | ($false = $true) | (~spl0_1 | ~spl0_59)),
% 66.87/8.85 inference(forward_demodulation,[],[f2022,f1278])).
% 66.87/8.85 thf(f1278,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ sK19 @ Y0))))) = $false) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1275])).
% 66.87/8.85 thf(f2022,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ sK19 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ sK19 @ Y0))))) = $true) | (~spl0_1 | ~spl0_59)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f2021])).
% 66.87/8.85 thf(f2021,plain,(
% 66.87/8.85 ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ sK19 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ sK19 @ Y0))))) = $true) | (~spl0_1 | ~spl0_59)),
% 66.87/8.85 inference(forward_demodulation,[],[f2008,f1238])).
% 66.87/8.85 thf(f1238,plain,(
% 66.87/8.85 ((exists_in_world @ sK19 @ sK17) = $true) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1236])).
% 66.87/8.85 thf(f2008,plain,(
% 66.87/8.85 ((exists_in_world @ sK19 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ sK19 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ sK19 @ Y0))))) = $true) | (~spl0_1 | ~spl0_59)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f2007])).
% 66.87/8.85 thf(f2007,plain,(
% 66.87/8.85 ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ sK19 @ Y0))))) = $true) | ((exists_in_world @ sK19 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ sK19 @ Y0))))) = $true) | (~spl0_1 | ~spl0_59)),
% 66.87/8.85 inference(superposition,[],[f1304,f1930])).
% 66.87/8.85 thf(f1930,plain,(
% 66.87/8.85 ( ! [X0 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ X0 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X0 @ Y0))))) = $true)) ) | ~spl0_59),
% 66.87/8.85 inference(avatar_component_clause,[],[f1929])).
% 66.87/8.85 thf(f1929,plain,(
% 66.87/8.85 spl0_59 <=> ! [X0 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X0 @ Y0))))) = $true))),
% 66.87/8.85 introduced(avatar_definition,[new_symbols(naming,[spl0_59])])).
% 66.87/8.85 thf(f1304,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ sK19 @ Y0))))) = $false) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1301])).
% 66.87/8.85 thf(f2004,plain,(
% 66.87/8.85 spl0_62 | spl0_61 | ~spl0_1 | ~spl0_34),
% 66.87/8.85 inference(avatar_split_clause,[],[f2003,f1399,f431,f1978,f1981])).
% 66.87/8.85 thf(f1399,plain,(
% 66.87/8.85 spl0_34 <=> ! [X6 : mu,X10 : mu,X7 : mu,X9 : mu,X8 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0)))))) | ((exists_in_world @ X10 @ sK17) = $false) | ($false = (exists_in_world @ X9 @ sK17)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) = $true) | ((exists_in_world @ X7 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) = $true))),
% 66.87/8.85 introduced(avatar_definition,[new_symbols(naming,[spl0_34])])).
% 66.87/8.85 thf(f2003,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X3 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ X0 @ Y0)))))) | ((exists_in_world @ X1 @ sK17) = $false) | ($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X0 @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X2 @ X1 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false)) ) | (~spl0_1 | ~spl0_34)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f2002])).
% 66.87/8.85 thf(f2002,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X0 @ X3 @ Y0))))) = $true) | ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X2 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ X2 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false)) ) | (~spl0_1 | ~spl0_34)),
% 66.87/8.85 inference(forward_demodulation,[],[f2001,f1318])).
% 66.87/8.85 thf(f1318,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) = $false) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1315])).
% 66.87/8.85 thf(f2001,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X3 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X3 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X2 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X0 @ X3 @ Y0))))) = $true)) ) | (~spl0_1 | ~spl0_34)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f2000])).
% 66.87/8.85 thf(f2000,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((exists_in_world @ X1 @ sK17) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ X0 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X2 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X0 @ X3 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X3 @ Y0))))) = $true)) ) | (~spl0_1 | ~spl0_34)),
% 66.87/8.85 inference(forward_demodulation,[],[f1999,f1320])).
% 66.87/8.85 thf(f1320,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) = $false) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1317])).
% 66.87/8.85 thf(f1999,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X3 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ X0 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X0 @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X2 @ X1 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ X2 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false)) ) | (~spl0_1 | ~spl0_34)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1998])).
% 66.87/8.85 thf(f1998,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ X0 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X3 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X0 @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ X2 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X2 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X3 @ Y0))))) = $true)) ) | (~spl0_1 | ~spl0_34)),
% 66.87/8.85 inference(forward_demodulation,[],[f1997,f1324])).
% 66.87/8.85 thf(f1324,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) = $false) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1321])).
% 66.87/8.85 thf(f1997,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X3 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X3 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ X2 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X0 @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X2 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true)) ) | (~spl0_1 | ~spl0_34)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1996])).
% 66.87/8.85 thf(f1996,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X3 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X2 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X0 @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X3 @ Y0))))) = $true) | ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) = $true)) ) | (~spl0_1 | ~spl0_34)),
% 66.87/8.85 inference(forward_demodulation,[],[f1995,f1314])).
% 66.87/8.85 thf(f1314,plain,(
% 66.87/8.85 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0)))))) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1311])).
% 66.87/8.85 thf(f1995,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($false = (exists_in_world @ X0 @ sK17)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X3 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ X2 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ X0 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X0 @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X2 @ X1 @ Y0))))) = $true)) ) | (~spl0_1 | ~spl0_34)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1994])).
% 66.87/8.85 thf(f1994,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X0 @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X3 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X2 @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ X0 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X3 @ Y0))))) = $true)) ) | (~spl0_1 | ~spl0_34)),
% 66.87/8.85 inference(forward_demodulation,[],[f1993,f1316])).
% 66.87/8.85 thf(f1316,plain,(
% 66.87/8.85 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0)))))) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1313])).
% 66.87/8.85 thf(f1993,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X0 @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ X2 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X2 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X3 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false)) ) | (~spl0_1 | ~spl0_34)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1992])).
% 66.87/8.85 thf(f1992,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X2 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X3 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X0 @ X3 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) = $true)) ) | (~spl0_1 | ~spl0_34)),
% 66.87/8.85 inference(forward_demodulation,[],[f1991,f1322])).
% 66.87/8.85 thf(f1322,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) = $false) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1319])).
% 66.87/8.85 thf(f1991,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X2 @ X1 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X0 @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false)) ) | (~spl0_1 | ~spl0_34)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1990])).
% 66.87/8.85 thf(f1990,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X0 @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X3 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X2 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ X2 @ Y0))))) = $true)) ) | (~spl0_1 | ~spl0_34)),
% 66.87/8.85 inference(forward_demodulation,[],[f1989,f1254])).
% 66.87/8.85 thf(f1254,plain,(
% 66.87/8.85 ((exists_in_world @ sK23 @ sK17) = $true) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1252])).
% 66.87/8.85 thf(f1989,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X2 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ sK23 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X0 @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X3 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ X2 @ Y0))))) = $true)) ) | (~spl0_1 | ~spl0_34)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1988])).
% 66.87/8.85 thf(f1988,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ X2 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ X0 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) = $true) | ($false = (exists_in_world @ sK23 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X3 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X2 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X0 @ X3 @ Y0))))) = $true) | ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) = $true)) ) | (~spl0_1 | ~spl0_34)),
% 66.87/8.85 inference(forward_demodulation,[],[f1959,f1258])).
% 66.87/8.85 thf(f1258,plain,(
% 66.87/8.85 ((exists_in_world @ sK24 @ sK17) = $true) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1256])).
% 66.87/8.85 thf(f1959,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((exists_in_world @ sK24 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X2 @ X1 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X0 @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X3 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ sK23 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X3 @ Y0))))) = $true)) ) | (~spl0_1 | ~spl0_34)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1957])).
% 66.87/8.85 thf(f1957,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK23 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK24 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X0 @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X2 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK23 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ sK24 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ sK24 @ sK17) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK23 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ sK24 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (exists_in_world @ sK23 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ sK23 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ sK24 @ Y0))))) = $true)) ) | (~spl0_1 | ~spl0_34)),
% 66.87/8.85 inference(superposition,[],[f1400,f1312])).
% 66.87/8.85 thf(f1312,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK23 @ sK24 @ Y1))))))))) = $false) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1309])).
% 66.87/8.85 thf(f1400,plain,(
% 66.87/8.85 ( ! [X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X9 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) = $true) | ((exists_in_world @ X7 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0)))))) | ((exists_in_world @ X8 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) = $true)) ) | ~spl0_34),
% 66.87/8.85 inference(avatar_component_clause,[],[f1399])).
% 66.87/8.85 thf(f1955,plain,(
% 66.87/8.85 spl0_59 | spl0_60 | ~spl0_1 | ~spl0_33),
% 66.87/8.85 inference(avatar_split_clause,[],[f1954,f1396,f431,f1932,f1929])).
% 66.87/8.85 thf(f1396,plain,(
% 66.87/8.85 spl0_33 <=> ! [X3 : mu,X4 : mu,X5 : mu,X2 : mu] : (((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false))),
% 66.87/8.85 introduced(avatar_definition,[new_symbols(naming,[spl0_33])])).
% 66.87/8.85 thf(f1954,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X1 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false)) ) | (~spl0_1 | ~spl0_33)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1953])).
% 66.87/8.85 thf(f1953,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X1 @ Y0)))))) | ($false = $true)) ) | (~spl0_1 | ~spl0_33)),
% 66.87/8.85 inference(forward_demodulation,[],[f1952,f1290])).
% 66.87/8.85 thf(f1290,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) = $false) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1287])).
% 66.87/8.85 thf(f1952,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X1 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ X1 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false)) ) | (~spl0_1 | ~spl0_33)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1951])).
% 66.87/8.85 thf(f1951,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) = $true) | ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X1 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ X0 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X1 @ Y0))))) = $true)) ) | (~spl0_1 | ~spl0_33)),
% 66.87/8.85 inference(forward_demodulation,[],[f1950,f1242])).
% 66.87/8.85 thf(f1242,plain,(
% 66.87/8.85 ((exists_in_world @ sK20 @ sK17) = $true) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1240])).
% 66.87/8.85 thf(f1950,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ sK20 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X1 @ Y0))))))) ) | (~spl0_1 | ~spl0_33)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1949])).
% 66.87/8.85 thf(f1949,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) = $true) | ((exists_in_world @ sK20 @ sK17) = $false) | ($false = (exists_in_world @ X0 @ sK17)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X1 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ X0 @ Y0))))) = $true)) ) | (~spl0_1 | ~spl0_33)),
% 66.87/8.85 inference(forward_demodulation,[],[f1948,f1288])).
% 66.87/8.85 thf(f1288,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ sK21 @ Y0))))) = $false) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1285])).
% 66.87/8.85 thf(f1948,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ sK21 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ X0 @ Y0))))) = $true) | ((exists_in_world @ sK20 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X1 @ Y0))))))) ) | (~spl0_1 | ~spl0_33)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1947])).
% 66.87/8.85 thf(f1947,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ X0 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X1 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((exists_in_world @ sK20 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ sK21 @ Y0))))) = $true) | ($false = $true)) ) | (~spl0_1 | ~spl0_33)),
% 66.87/8.85 inference(forward_demodulation,[],[f1946,f1246])).
% 66.87/8.85 thf(f1246,plain,(
% 66.87/8.85 ((exists_in_world @ sK21 @ sK17) = $true) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1244])).
% 66.87/8.85 thf(f1946,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ sK21 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ sK21 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ X0 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((exists_in_world @ sK20 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X1 @ Y0))))))) ) | (~spl0_1 | ~spl0_33)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1945])).
% 66.87/8.85 thf(f1945,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ sK21 @ Y0))))) = $true) | ((exists_in_world @ sK20 @ sK17) = $false) | ((exists_in_world @ sK21 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X1 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ X1 @ Y0))))) = $true) | ($false = $true)) ) | (~spl0_1 | ~spl0_33)),
% 66.87/8.85 inference(forward_demodulation,[],[f1944,f1282])).
% 66.87/8.85 thf(f1282,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ sK20 @ Y0))))) = $false) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1279])).
% 66.87/8.85 thf(f1944,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ sK20 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ sK21 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ((exists_in_world @ sK20 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((exists_in_world @ sK21 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X1 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false)) ) | (~spl0_1 | ~spl0_33)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1943])).
% 66.87/8.85 thf(f1943,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ($false = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X1 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ sK21 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ sK21 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ sK20 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ X0 @ Y0))))) = $true) | ((exists_in_world @ sK20 @ sK17) = $false)) ) | (~spl0_1 | ~spl0_33)),
% 66.87/8.85 inference(forward_demodulation,[],[f1942,f1284])).
% 66.87/8.85 thf(f1284,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ sK21 @ Y0))))) = $false) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1281])).
% 66.87/8.85 thf(f1942,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ sK21 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X1 @ Y0)))))) | ((exists_in_world @ sK21 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ sK20 @ Y0))))) = $true) | ((exists_in_world @ sK20 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ sK21 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17))) ) | (~spl0_1 | ~spl0_33)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1941])).
% 66.87/8.85 thf(f1941,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ sK20 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((exists_in_world @ sK20 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ sK21 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X1 @ Y0)))))) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) = $true) | ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ sK21 @ Y0))))) = $true) | ((exists_in_world @ sK21 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true)) ) | (~spl0_1 | ~spl0_33)),
% 66.87/8.85 inference(forward_demodulation,[],[f1940,f1292])).
% 66.87/8.85 thf(f1292,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ sK21 @ Y0))))) = $false) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1289])).
% 66.87/8.85 thf(f1940,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ sK21 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((exists_in_world @ sK20 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ sK21 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ sK21 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ sK20 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X1 @ Y0)))))) | ((exists_in_world @ sK21 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false)) ) | (~spl0_1 | ~spl0_33)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1939])).
% 66.87/8.85 thf(f1939,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ sK21 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ sK20 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ sK21 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ X0 @ Y0))))) = $true) | ((exists_in_world @ sK21 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((exists_in_world @ sK20 @ sK17) = $false) | ($false = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ sK21 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X1 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X1 @ Y0))))) = $true)) ) | (~spl0_1 | ~spl0_33)),
% 66.87/8.85 inference(forward_demodulation,[],[f1910,f1286])).
% 66.87/8.85 thf(f1286,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ sK21 @ Y0))))) = $false) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1283])).
% 66.87/8.85 thf(f1910,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ sK21 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ X1 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ sK21 @ Y0))))) = $true) | ((exists_in_world @ sK20 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((exists_in_world @ sK21 @ sK17) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X1 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ sK21 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ sK20 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ sK21 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X0 @ sK17))) ) | (~spl0_1 | ~spl0_33)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1909])).
% 66.87/8.85 thf(f1909,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (($false = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ sK21 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ sK20 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ sK21 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ sK20 @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ sK20 @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X1 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ sK21 @ Y0))))) = $true) | ((exists_in_world @ sK20 @ sK17) = $false) | ((exists_in_world @ sK21 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ sK21 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ sK21 @ Y0))))) = $true)) ) | (~spl0_1 | ~spl0_33)),
% 66.87/8.85 inference(superposition,[],[f1300,f1397])).
% 66.87/8.85 thf(f1397,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0)))))) | ((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((exists_in_world @ X4 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) = $true)) ) | ~spl0_33),
% 66.87/8.85 inference(avatar_component_clause,[],[f1396])).
% 66.87/8.85 thf(f1300,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ sK20 @ sK21 @ Y0))))) = $false) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1297])).
% 66.87/8.85 thf(f1401,plain,(
% 66.87/8.85 spl0_33 | spl0_34 | ~spl0_1),
% 66.87/8.85 inference(avatar_split_clause,[],[f1394,f431,f1399,f1396])).
% 66.87/8.85 thf(f1394,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X5 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((exists_in_world @ X7 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (exists_in_world @ X9 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK17) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((exists_in_world @ X4 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1393])).
% 66.87/8.85 thf(f1393,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((exists_in_world @ X7 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK17) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ($false = (exists_in_world @ X9 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0)))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1392])).
% 66.87/8.85 thf(f1392,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((exists_in_world @ X4 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) = $true) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0)))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ($false = (exists_in_world @ X9 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1391])).
% 66.87/8.85 thf(f1391,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X8 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ((exists_in_world @ X5 @ sK17) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0)))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0)))))) | ((exists_in_world @ X6 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X10 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ($false = (exists_in_world @ X9 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0))))))) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1390])).
% 66.87/8.85 thf(f1390,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK17) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) = $true) | ((exists_in_world @ X7 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((exists_in_world @ X4 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0)))))) | ((exists_in_world @ X5 @ sK17) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ($false = (exists_in_world @ X9 @ sK17))) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1389])).
% 66.87/8.85 thf(f1389,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) = $true) | ((exists_in_world @ X5 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (exists_in_world @ X9 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((exists_in_world @ X4 @ sK17) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0)))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) = $true)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1388])).
% 66.87/8.85 thf(f1388,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) = $true) | ($false = (exists_in_world @ X9 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X10 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0)))))) | ((exists_in_world @ X8 @ sK17) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((exists_in_world @ X4 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0))))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1387])).
% 66.87/8.85 thf(f1387,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) = $true) | ($false = (exists_in_world @ X9 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((exists_in_world @ X7 @ sK17) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0)))))))))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((exists_in_world @ X5 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1386])).
% 66.87/8.85 thf(f1386,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) = $true) | ((exists_in_world @ X7 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((exists_in_world @ X5 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ($false = (exists_in_world @ X9 @ sK17)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0)))))) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0)))))))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((exists_in_world @ X4 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) = $true)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1385])).
% 66.87/8.85 thf(f1385,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0)))))))))))))) = $true) | ((exists_in_world @ X5 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) = $true) | ((exists_in_world @ X6 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ($false = (exists_in_world @ X9 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0)))))) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((exists_in_world @ X4 @ sK17) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0)))))) | ((exists_in_world @ X8 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1384])).
% 66.87/8.85 thf(f1384,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X9 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X10 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0))))))))))))))) = $true) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1383])).
% 66.87/8.85 thf(f1383,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((exists_in_world @ X4 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0))))))))))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK17) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0)))))) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X5 @ sK17) = $false) | ($false = (exists_in_world @ X9 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) = $true)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1382])).
% 66.87/8.85 thf(f1382,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0)))))))))))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (exists_in_world @ X9 @ sK17)) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((exists_in_world @ X5 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0))))))) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1381])).
% 66.87/8.85 thf(f1381,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0)))))))))))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((exists_in_world @ X4 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ((exists_in_world @ X5 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((exists_in_world @ X7 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (exists_in_world @ X9 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) = $true)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1380])).
% 66.87/8.85 thf(f1380,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X5 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ($false = (exists_in_world @ X9 @ sK17)) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0)))))) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0))))))))))))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) = $true)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1379])).
% 66.87/8.85 thf(f1379,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X6 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0))))))))))))))))))))) | ($false = (exists_in_world @ X9 @ sK17)) | ((exists_in_world @ X7 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) = $true) | ((exists_in_world @ X5 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1378])).
% 66.87/8.85 thf(f1378,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X9 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X5 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0))))))))))))))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1377])).
% 66.87/8.85 thf(f1377,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0)))))) | ((exists_in_world @ X10 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK17) = $false) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0))))))))))))))))))))))) | ($false = (exists_in_world @ X9 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((exists_in_world @ X7 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1376])).
% 66.87/8.85 thf(f1376,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK17) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0)))))) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (exists_in_world @ X9 @ sK17)) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((exists_in_world @ X5 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0))))))))))))))))))))))))) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1375])).
% 66.87/8.85 thf(f1375,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0)))))) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0)))))))))))))))))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X5 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X9 @ sK17)) | ((exists_in_world @ X4 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1374])).
% 66.87/8.85 thf(f1374,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X4 @ sK17) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X9 @ sK17)) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X10 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0))))))))))))))))))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1373])).
% 66.87/8.85 thf(f1373,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0)))))))))))))))))))))))))) = $true) | ($false = (exists_in_world @ X9 @ sK17)) | ((exists_in_world @ X8 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK17) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0)))))) | ((exists_in_world @ X7 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1372])).
% 66.87/8.85 thf(f1372,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X10 @ sK17) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0))))))))))))))))))))))))))) = $true) | ($false = (exists_in_world @ X9 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1371])).
% 66.87/8.85 thf(f1371,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X8 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ($false = (exists_in_world @ X9 @ sK17)) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0)))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X5 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X1 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1370])).
% 66.87/8.85 thf(f1370,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((exists_in_world @ X4 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((exists_in_world @ X7 @ sK17) = $false) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0)))))))))))))))))))))))))))))) | ($false = (exists_in_world @ X9 @ sK17))) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1369])).
% 66.87/8.85 thf(f1369,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X1 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0)))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X9 @ sK17)) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1368])).
% 66.87/8.85 thf(f1368,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X5 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X10 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ($false = (exists_in_world @ X9 @ sK17)) | ((exists_in_world @ X3 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1367])).
% 66.87/8.85 thf(f1367,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X6 @ sK17) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0)))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (exists_in_world @ X9 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1366])).
% 66.87/8.85 thf(f1366,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X10 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0))))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (exists_in_world @ X9 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1365])).
% 66.87/8.85 thf(f1365,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X9 @ sK17)) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X10 @ sK17) = $false) | ((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X1 @ sK17) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0)))))))))))))))))))))))))))))))))) = $true)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1364])).
% 66.87/8.85 thf(f1364,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X1 @ sK17) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0))))))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X10 @ sK17) = $false) | ($false = (exists_in_world @ X9 @ sK17)) | ((exists_in_world @ X6 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1363])).
% 66.87/8.85 thf(f1363,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X1 @ sK17) = $false) | ($false = (exists_in_world @ X9 @ sK17)) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | (((exists_in_world @ X10 @ sK17) => ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (hollywood @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (city @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (event @ X3 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (chevy @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (car @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (white @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (dirty @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (old @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (street @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X9 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK17 @ Y0)) | (in @ X10 @ X8 @ Y0)))))))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(beta_eta_normalization,[],[f1362])).
% 66.87/8.85 thf(f1362,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (exists_in_world @ X9 @ sK17)) | ((exists_in_world @ X7 @ sK17) = $false) | ($true = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (seat @ X1 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (furniture @ X1 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (front @ X1 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (hollywood @ X2 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (city @ X2 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (event @ X3 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (chevy @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (car @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (white @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (dirty @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (old @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (street @ X5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (way @ X5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (lonely @ X5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (barrel @ X3 @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (down @ X3 @ X5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (in @ X3 @ X2 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (seat @ X8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (furniture @ X8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (front @ X8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ X6 @ X7 @ Y2))))))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (fellow @ X6 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (man @ X6 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (young @ X6 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (fellow @ X7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (man @ X7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (young @ X7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (qmltpeq @ X6 @ X9 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (in @ X9 @ X1 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (qmltpeq @ X7 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (in @ Y0 @ X8 @ Y1))))))))))))))))))))))))))))))))))))) @ X10)) | ((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(pi_clausification,[],[f1361])).
% 66.87/8.85 thf(f1361,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X1 @ sK17) = $false) | ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (seat @ X1 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (furniture @ X1 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (front @ X1 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (hollywood @ X2 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (city @ X2 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (event @ X3 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (chevy @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (car @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (white @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (dirty @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (old @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (street @ X5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (way @ X5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (lonely @ X5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (barrel @ X3 @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (down @ X3 @ X5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (in @ X3 @ X2 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (seat @ X8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (furniture @ X8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (front @ X8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ X6 @ X7 @ Y2))))))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (fellow @ X6 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (man @ X6 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (young @ X6 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (fellow @ X7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (man @ X7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (young @ X7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (qmltpeq @ X6 @ X9 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (in @ X9 @ X1 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (qmltpeq @ X7 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (in @ Y0 @ X8 @ Y1)))))))))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (exists_in_world @ X9 @ sK17)) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1360])).
% 66.87/8.85 thf(f1360,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | (((exists_in_world @ X9 @ sK17) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (seat @ X1 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (furniture @ X1 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (front @ X1 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (hollywood @ X2 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (city @ X2 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (event @ X3 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (chevy @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (car @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (white @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (dirty @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (old @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (street @ X5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (way @ X5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (lonely @ X5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (barrel @ X3 @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (down @ X3 @ X5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (in @ X3 @ X2 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (seat @ X8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (furniture @ X8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (front @ X8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ X6 @ X7 @ Y2))))))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (fellow @ X6 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (man @ X6 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (young @ X6 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (fellow @ X7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (man @ X7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (young @ X7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (qmltpeq @ X6 @ X9 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (in @ X9 @ X1 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (qmltpeq @ X7 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK17 @ Y1)) | (in @ Y0 @ X8 @ Y1))))))))))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(beta_eta_normalization,[],[f1359])).
% 66.87/8.85 thf(f1359,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X1 @ sK17) = $false) | ($true = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (seat @ X1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (furniture @ X1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (front @ X1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (hollywood @ X2 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (city @ X2 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (event @ X3 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (chevy @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (car @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (white @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (dirty @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (old @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (street @ X5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (way @ X5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (lonely @ X5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (barrel @ X3 @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (down @ X3 @ X5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (in @ X3 @ X2 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (seat @ X8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (furniture @ X8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (front @ X8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (qmltpeq @ X6 @ X7 @ Y3))))))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (fellow @ X6 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (man @ X6 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (young @ X6 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (fellow @ X7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (man @ X7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (young @ X7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (qmltpeq @ X6 @ Y0 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (in @ Y0 @ X1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (qmltpeq @ X7 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (in @ Y1 @ X8 @ Y2)))))))))))))))))))))))))))))))))))))))) @ X9)) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(pi_clausification,[],[f1358])).
% 66.87/8.85 thf(f1358,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X8 : mu,X6 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (seat @ X1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (furniture @ X1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (front @ X1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (hollywood @ X2 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (city @ X2 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (event @ X3 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (chevy @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (car @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (white @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (dirty @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (old @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (street @ X5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (way @ X5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (lonely @ X5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (barrel @ X3 @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (down @ X3 @ X5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (in @ X3 @ X2 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (seat @ X8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (furniture @ X8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (front @ X8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (qmltpeq @ X6 @ X7 @ Y3))))))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (fellow @ X6 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (man @ X6 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (young @ X6 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (fellow @ X7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (man @ X7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (young @ X7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (qmltpeq @ X6 @ Y0 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (in @ Y0 @ X1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (qmltpeq @ X7 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (in @ Y1 @ X8 @ Y2))))))))))))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X7 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1357])).
% 66.87/8.85 thf(f1357,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X8 : mu,X6 : mu,X7 : mu,X4 : mu,X5 : mu] : ((((exists_in_world @ X8 @ sK17) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (seat @ X1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (furniture @ X1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (front @ X1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (hollywood @ X2 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (city @ X2 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (event @ X3 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (chevy @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (car @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (white @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (dirty @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (old @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (street @ X5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (way @ X5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (lonely @ X5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (barrel @ X3 @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (down @ X3 @ X5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (in @ X3 @ X2 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (seat @ X8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (furniture @ X8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (front @ X8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (qmltpeq @ X6 @ X7 @ Y3))))))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (fellow @ X6 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (man @ X6 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (young @ X6 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (fellow @ X7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (man @ X7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (young @ X7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (qmltpeq @ X6 @ Y0 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (in @ Y0 @ X1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (qmltpeq @ X7 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK17 @ Y2)) | (in @ Y1 @ X8 @ Y2)))))))))))))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(beta_eta_normalization,[],[f1356])).
% 66.87/8.85 thf(f1356,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X8 : mu,X6 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (seat @ X1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (furniture @ X1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (front @ X1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (hollywood @ X2 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (city @ X2 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (event @ X3 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (chevy @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (car @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (white @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (dirty @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (old @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (street @ X5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (way @ X5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (lonely @ X5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (barrel @ X3 @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (down @ X3 @ X5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (in @ X3 @ X2 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (seat @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (furniture @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (front @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (qmltpeq @ X6 @ X7 @ Y4))))))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (fellow @ X6 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (man @ X6 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (young @ X6 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (fellow @ X7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (man @ X7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (young @ X7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (qmltpeq @ X6 @ Y1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (in @ Y1 @ X1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (qmltpeq @ X7 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (in @ Y2 @ Y0 @ Y3))))))))))))))))))))))))))))))))))))))))))) @ X8) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X5 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(pi_clausification,[],[f1355])).
% 66.87/8.85 thf(f1355,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X6 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (seat @ X1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (furniture @ X1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (front @ X1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (hollywood @ X2 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (city @ X2 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (event @ X3 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (chevy @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (car @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (white @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (dirty @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (old @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (street @ X5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (way @ X5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (lonely @ X5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (barrel @ X3 @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (down @ X3 @ X5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (in @ X3 @ X2 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (seat @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (furniture @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (front @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (qmltpeq @ X6 @ X7 @ Y4))))))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (fellow @ X6 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (man @ X6 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (young @ X6 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (fellow @ X7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (man @ X7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (young @ X7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (qmltpeq @ X6 @ Y1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (in @ Y1 @ X1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (qmltpeq @ X7 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (in @ Y2 @ Y0 @ Y3)))))))))))))))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1354])).
% 66.87/8.85 thf(f1354,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X6 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ($true = ((exists_in_world @ X7 @ sK17) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (seat @ X1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (furniture @ X1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (front @ X1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (hollywood @ X2 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (city @ X2 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (event @ X3 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (chevy @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (car @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (white @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (dirty @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (old @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (street @ X5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (way @ X5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (lonely @ X5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (barrel @ X3 @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (down @ X3 @ X5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (in @ X3 @ X2 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (seat @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (furniture @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (front @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (qmltpeq @ X6 @ X7 @ Y4))))))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (fellow @ X6 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (man @ X6 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (young @ X6 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (fellow @ X7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (man @ X7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (young @ X7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (qmltpeq @ X6 @ Y1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (in @ Y1 @ X1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (qmltpeq @ X7 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK17 @ Y3)) | (in @ Y2 @ Y0 @ Y3)))))))))))))))))))))))))))))))))))))))))))))) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(beta_eta_normalization,[],[f1353])).
% 66.87/8.85 thf(f1353,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X6 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X1 @ sK17) = $false) | (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (seat @ X1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (furniture @ X1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (front @ X1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (hollywood @ X2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (city @ X2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (event @ X3 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (chevy @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (car @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (white @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (dirty @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (old @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (street @ X5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (way @ X5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (lonely @ X5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (barrel @ X3 @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (down @ X3 @ X5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (in @ X3 @ X2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (seat @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (furniture @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (front @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (qmltpeq @ X6 @ Y0 @ Y5))))))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (fellow @ X6 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (man @ X6 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (young @ X6 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (fellow @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (man @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (young @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (qmltpeq @ X6 @ Y2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (in @ Y2 @ X1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (qmltpeq @ Y0 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (in @ Y3 @ Y1 @ Y4)))))))))))))))))))))))))))))))))))))))))))))) @ X7) = $true) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(pi_clausification,[],[f1352])).
% 66.87/8.85 thf(f1352,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X6 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (seat @ X1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (furniture @ X1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (front @ X1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (hollywood @ X2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (city @ X2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (event @ X3 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (chevy @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (car @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (white @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (dirty @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (old @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (street @ X5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (way @ X5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (lonely @ X5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (barrel @ X3 @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (down @ X3 @ X5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (in @ X3 @ X2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (seat @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (furniture @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (front @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (qmltpeq @ X6 @ Y0 @ Y5))))))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (fellow @ X6 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (man @ X6 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (young @ X6 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (fellow @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (man @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (young @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (qmltpeq @ X6 @ Y2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (in @ Y2 @ X1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (qmltpeq @ Y0 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (in @ Y3 @ Y1 @ Y4))))))))))))))))))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1351])).
% 66.87/8.85 thf(f1351,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X6 : mu,X4 : mu,X5 : mu] : ((((exists_in_world @ X6 @ sK17) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (seat @ X1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (furniture @ X1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (front @ X1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (hollywood @ X2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (city @ X2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (event @ X3 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (chevy @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (car @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (white @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (dirty @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (old @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (street @ X5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (way @ X5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (lonely @ X5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (barrel @ X3 @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (down @ X3 @ X5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (in @ X3 @ X2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (seat @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (furniture @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (front @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (qmltpeq @ X6 @ Y0 @ Y5))))))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (fellow @ X6 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (man @ X6 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (young @ X6 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (fellow @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (man @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (young @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (qmltpeq @ X6 @ Y2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (in @ Y2 @ X1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (qmltpeq @ Y0 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK17 @ Y4)) | (in @ Y3 @ Y1 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(beta_eta_normalization,[],[f1350])).
% 66.87/8.85 thf(f1350,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X6 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (seat @ X1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (furniture @ X1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (front @ X1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (hollywood @ X2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (city @ X2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (event @ X3 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (chevy @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (car @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (white @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (dirty @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (old @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (street @ X5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (way @ X5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (lonely @ X5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (barrel @ X3 @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (down @ X3 @ X5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (in @ X3 @ X2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (seat @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (furniture @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (front @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (qmltpeq @ Y0 @ Y1 @ Y6))))))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (fellow @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (man @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (young @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (fellow @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (man @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (young @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (qmltpeq @ Y0 @ Y3 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (in @ Y3 @ X1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (qmltpeq @ Y1 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (in @ Y4 @ Y2 @ Y5))))))))))))))))))))))))))))))))))))))))))))))))) @ X6) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(pi_clausification,[],[f1349])).
% 66.87/8.85 thf(f1349,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X3 @ sK17) = $false) | ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (seat @ X1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (furniture @ X1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (front @ X1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (hollywood @ X2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (city @ X2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (event @ X3 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (chevy @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (car @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (white @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (dirty @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (old @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (street @ X5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (way @ X5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (lonely @ X5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (barrel @ X3 @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (down @ X3 @ X5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (in @ X3 @ X2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (seat @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (furniture @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (front @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (qmltpeq @ Y0 @ Y1 @ Y6))))))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (fellow @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (man @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (young @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (fellow @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (man @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (young @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (qmltpeq @ Y0 @ Y3 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (in @ Y3 @ X1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (qmltpeq @ Y1 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (in @ Y4 @ Y2 @ Y5)))))))))))))))))))))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X5 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X1 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1348])).
% 66.87/8.85 thf(f1348,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | (((exists_in_world @ X5 @ sK17) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (seat @ X1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (furniture @ X1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (front @ X1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (hollywood @ X2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (city @ X2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (event @ X3 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (chevy @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (car @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (white @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (dirty @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (old @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (street @ X5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (way @ X5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (lonely @ X5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (barrel @ X3 @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (down @ X3 @ X5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (in @ X3 @ X2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (seat @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (furniture @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (front @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (qmltpeq @ Y0 @ Y1 @ Y6))))))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (fellow @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (man @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (young @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (fellow @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (man @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (young @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (qmltpeq @ Y0 @ Y3 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (in @ Y3 @ X1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (qmltpeq @ Y1 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK17 @ Y5)) | (in @ Y4 @ Y2 @ Y5))))))))))))))))))))))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X1 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(beta_eta_normalization,[],[f1347])).
% 66.87/8.85 thf(f1347,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (seat @ X1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (furniture @ X1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (front @ X1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (hollywood @ X2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (city @ X2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (event @ X3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (chevy @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (car @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (white @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (dirty @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (old @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (street @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (way @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (lonely @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (barrel @ X3 @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (down @ X3 @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (in @ X3 @ X2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (seat @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (furniture @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (front @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (qmltpeq @ Y1 @ Y2 @ Y7))))))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (fellow @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (man @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (young @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (fellow @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (man @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (young @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (qmltpeq @ Y1 @ Y4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (in @ Y4 @ X1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (qmltpeq @ Y2 @ Y5 @ Y6))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (in @ Y5 @ Y3 @ Y6)))))))))))))))))))))))))))))))))))))))))))))))))))) @ X5) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(pi_clausification,[],[f1346])).
% 66.87/8.85 thf(f1346,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X4 : mu] : (((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ($true = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (seat @ X1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (furniture @ X1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (front @ X1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (hollywood @ X2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (city @ X2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (event @ X3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (chevy @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (car @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (white @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (dirty @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (old @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (street @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (way @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (lonely @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (barrel @ X3 @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (down @ X3 @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (in @ X3 @ X2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (seat @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (furniture @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (front @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (qmltpeq @ Y1 @ Y2 @ Y7))))))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (fellow @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (man @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (young @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (fellow @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (man @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (young @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (qmltpeq @ Y1 @ Y4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (in @ Y4 @ X1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (qmltpeq @ Y2 @ Y5 @ Y6))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (in @ Y5 @ Y3 @ Y6))))))))))))))))))))))))))))))))))))))))))))))))))))))) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1345])).
% 66.87/8.85 thf(f1345,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X4 : mu] : (((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ($true = ((exists_in_world @ X4 @ sK17) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (seat @ X1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (furniture @ X1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (front @ X1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (hollywood @ X2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (city @ X2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (event @ X3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (chevy @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (car @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (white @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (dirty @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (old @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (street @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (way @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (lonely @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (barrel @ X3 @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (down @ X3 @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (in @ X3 @ X2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (seat @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (furniture @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (front @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (qmltpeq @ Y1 @ Y2 @ Y7))))))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (fellow @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (man @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (young @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (fellow @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (man @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (young @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (qmltpeq @ Y1 @ Y4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (in @ Y4 @ X1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (qmltpeq @ Y2 @ Y5 @ Y6))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK17 @ Y6)) | (in @ Y5 @ Y3 @ Y6)))))))))))))))))))))))))))))))))))))))))))))))))))))))) ) | ~spl0_1),
% 66.87/8.85 inference(beta_eta_normalization,[],[f1344])).
% 66.87/8.85 thf(f1344,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X4 : mu] : (((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (seat @ X1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (furniture @ X1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (front @ X1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (hollywood @ X2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (city @ X2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (event @ X3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (chevy @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (car @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (white @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (dirty @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (old @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (street @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (way @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (lonely @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (barrel @ X3 @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (down @ X3 @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (in @ X3 @ X2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (seat @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (furniture @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (front @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (qmltpeq @ Y2 @ Y3 @ Y8))))))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (fellow @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (man @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (young @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (fellow @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (man @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (young @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (qmltpeq @ Y2 @ Y5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (in @ Y5 @ X1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (qmltpeq @ Y3 @ Y6 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (in @ Y6 @ Y4 @ Y7))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ X4) = $true) | ((exists_in_world @ X3 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(pi_clausification,[],[f1343])).
% 66.87/8.85 thf(f1343,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu] : (((exists_in_world @ X3 @ sK17) = $false) | ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (seat @ X1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (furniture @ X1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (front @ X1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (hollywood @ X2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (city @ X2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (event @ X3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (chevy @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (car @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (white @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (dirty @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (old @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (street @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (way @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (lonely @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (barrel @ X3 @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (down @ X3 @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (in @ X3 @ X2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (seat @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (furniture @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (front @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (qmltpeq @ Y2 @ Y3 @ Y8))))))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (fellow @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (man @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (young @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (fellow @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (man @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (young @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (qmltpeq @ Y2 @ Y5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (in @ Y5 @ X1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (qmltpeq @ Y3 @ Y6 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (in @ Y6 @ Y4 @ Y7)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1342])).
% 66.87/8.85 thf(f1342,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu] : (((exists_in_world @ X1 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | (((exists_in_world @ X3 @ sK17) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (seat @ X1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (furniture @ X1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (front @ X1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (hollywood @ X2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (city @ X2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (event @ X3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (chevy @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (car @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (white @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (dirty @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (old @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (street @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (way @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (lonely @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (barrel @ X3 @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (down @ X3 @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (in @ X3 @ X2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (seat @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (furniture @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (front @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (qmltpeq @ Y2 @ Y3 @ Y8))))))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (fellow @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (man @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (young @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (fellow @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (man @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (young @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (qmltpeq @ Y2 @ Y5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (in @ Y5 @ X1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (qmltpeq @ Y3 @ Y6 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK17 @ Y7)) | (in @ Y6 @ Y4 @ Y7))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)) ) | ~spl0_1),
% 66.87/8.85 inference(beta_eta_normalization,[],[f1341])).
% 66.87/8.85 thf(f1341,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu] : (($true = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK17) => ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (seat @ X1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (furniture @ X1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (front @ X1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (hollywood @ X2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (city @ X2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (event @ Y0 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (chevy @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (car @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (white @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (dirty @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (old @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (street @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (way @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (lonely @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (barrel @ Y0 @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (down @ Y0 @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (in @ Y0 @ X2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (seat @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (furniture @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (front @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ Y8 @ Y9)) | (qmltpeq @ Y3 @ Y4 @ Y9))))))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (fellow @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (man @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (young @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (fellow @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (man @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (young @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (qmltpeq @ Y3 @ Y6 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (in @ Y6 @ X1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (qmltpeq @ Y4 @ Y7 @ Y8))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (in @ Y7 @ Y5 @ Y8)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ X3)) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X1 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(pi_clausification,[],[f1340])).
% 66.87/8.85 thf(f1340,plain,(
% 66.87/8.85 ( ! [X2 : mu,X1 : mu] : (((exists_in_world @ X1 @ sK17) = $false) | ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK17) => ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (seat @ X1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (furniture @ X1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (front @ X1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (hollywood @ X2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (city @ X2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (event @ Y0 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (chevy @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (car @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (white @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (dirty @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (old @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (street @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (way @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (lonely @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (barrel @ Y0 @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (down @ Y0 @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (in @ Y0 @ X2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (seat @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (furniture @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (front @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ Y8 @ Y9)) | (qmltpeq @ Y3 @ Y4 @ Y9))))))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (fellow @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (man @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (young @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (fellow @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (man @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (young @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (qmltpeq @ Y3 @ Y6 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (in @ Y6 @ X1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (qmltpeq @ Y4 @ Y7 @ Y8))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (in @ Y7 @ Y5 @ Y8))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1339])).
% 66.87/8.85 thf(f1339,plain,(
% 66.87/8.85 ( ! [X2 : mu,X1 : mu] : ((((exists_in_world @ X2 @ sK17) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK17) => ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (seat @ X1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (furniture @ X1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (front @ X1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (hollywood @ X2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (city @ X2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (event @ Y0 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (chevy @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (car @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (white @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (dirty @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (old @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (street @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (way @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (lonely @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (barrel @ Y0 @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (down @ Y0 @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (in @ Y0 @ X2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (seat @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (furniture @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (front @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ Y8 @ Y9)) | (qmltpeq @ Y3 @ Y4 @ Y9))))))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (fellow @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (man @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (young @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (fellow @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (man @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (young @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (qmltpeq @ Y3 @ Y6 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (in @ Y6 @ X1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (qmltpeq @ Y4 @ Y7 @ Y8))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK17 @ Y8)) | (in @ Y7 @ Y5 @ Y8)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X1 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(beta_eta_normalization,[],[f1338])).
% 66.87/8.85 thf(f1338,plain,(
% 66.87/8.85 ( ! [X2 : mu,X1 : mu] : ((((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK17) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK17) => ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (seat @ X1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (furniture @ X1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (front @ X1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (hollywood @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (city @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (event @ Y1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (chevy @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (car @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (white @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (dirty @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (old @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (street @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (way @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (lonely @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (barrel @ Y1 @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (down @ Y1 @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (in @ Y1 @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (seat @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (furniture @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (front @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ Y9 @ Y10)) | (qmltpeq @ Y4 @ Y5 @ Y10))))))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (fellow @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (man @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (young @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (fellow @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (man @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (young @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (qmltpeq @ Y4 @ Y7 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (in @ Y7 @ X1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (qmltpeq @ Y5 @ Y8 @ Y9))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (in @ Y8 @ Y6 @ Y9))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ X2) = $true) | ((exists_in_world @ X1 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(pi_clausification,[],[f1337])).
% 66.87/8.85 thf(f1337,plain,(
% 66.87/8.85 ( ! [X1 : mu] : (($true = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK17) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK17) => ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (seat @ X1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (furniture @ X1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (front @ X1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (hollywood @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (city @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (event @ Y1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (chevy @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (car @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (white @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (dirty @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (old @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (street @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (way @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (lonely @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (barrel @ Y1 @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (down @ Y1 @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (in @ Y1 @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (seat @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (furniture @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (front @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ Y9 @ Y10)) | (qmltpeq @ Y4 @ Y5 @ Y10))))))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (fellow @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (man @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (young @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (fellow @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (man @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (young @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (qmltpeq @ Y4 @ Y7 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (in @ Y7 @ X1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (qmltpeq @ Y5 @ Y8 @ Y9))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (in @ Y8 @ Y6 @ Y9))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ((exists_in_world @ X1 @ sK17) = $false)) ) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1336])).
% 66.87/8.85 thf(f1336,plain,(
% 66.87/8.85 ( ! [X1 : mu] : ((((exists_in_world @ X1 @ sK17) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK17) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK17) => ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (seat @ X1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (furniture @ X1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (front @ X1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (hollywood @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (city @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (event @ Y1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (chevy @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (car @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (white @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (dirty @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (old @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (street @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (way @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (lonely @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (barrel @ Y1 @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (down @ Y1 @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (in @ Y1 @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (seat @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (furniture @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (front @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ Y9 @ Y10)) | (qmltpeq @ Y4 @ Y5 @ Y10))))))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (fellow @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (man @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (young @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (fellow @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (man @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (young @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (qmltpeq @ Y4 @ Y7 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (in @ Y7 @ X1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (qmltpeq @ Y5 @ Y8 @ Y9))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK17 @ Y9)) | (in @ Y8 @ Y6 @ Y9))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)) ) | ~spl0_1),
% 66.87/8.85 inference(beta_eta_normalization,[],[f1335])).
% 66.87/8.85 thf(f1335,plain,(
% 66.87/8.85 ( ! [X1 : mu] : (($true = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK17) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK17) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ sK17) => ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (seat @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (furniture @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (front @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (hollywood @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (city @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (event @ Y2 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (chevy @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (car @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (white @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (dirty @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (old @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (street @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (way @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (lonely @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (barrel @ Y2 @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (down @ Y2 @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y2 @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (seat @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (furniture @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (front @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y10 @ Y11)) | (qmltpeq @ Y5 @ Y6 @ Y11))))))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (fellow @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (man @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (young @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (fellow @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (man @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (young @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (qmltpeq @ Y5 @ Y8 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y8 @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (qmltpeq @ Y6 @ Y9 @ Y10))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y9 @ Y7 @ Y10)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ X1))) ) | ~spl0_1),
% 66.87/8.85 inference(pi_clausification,[],[f1334])).
% 66.87/8.85 thf(f1334,plain,(
% 66.87/8.85 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK17) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK17) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ sK17) => ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (seat @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (furniture @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (front @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (hollywood @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (city @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (event @ Y2 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (chevy @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (car @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (white @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (dirty @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (old @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (street @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (way @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (lonely @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (barrel @ Y2 @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (down @ Y2 @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y2 @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (seat @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (furniture @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (front @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y10 @ Y11)) | (qmltpeq @ Y5 @ Y6 @ Y11))))))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (fellow @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (man @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (young @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (fellow @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (man @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (young @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (qmltpeq @ Y5 @ Y8 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y8 @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (qmltpeq @ Y6 @ Y9 @ Y10))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y9 @ Y7 @ Y10))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true) | ~spl0_1),
% 66.87/8.85 inference(not_proxy_clausification,[],[f1229])).
% 66.87/8.85 thf(f1229,plain,(
% 66.87/8.85 ((~ (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK17) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK17) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK17) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK17) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK17) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK17) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ sK17) => ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (seat @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (furniture @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (front @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (hollywood @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (city @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (event @ Y2 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (chevy @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (car @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (white @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (dirty @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (old @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (street @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (way @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (lonely @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (barrel @ Y2 @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (down @ Y2 @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y2 @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (seat @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (furniture @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (front @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y10 @ Y11)) | (qmltpeq @ Y5 @ Y6 @ Y11))))))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (fellow @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (man @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (young @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (fellow @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (man @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (young @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (qmltpeq @ Y5 @ Y8 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y8 @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (qmltpeq @ Y6 @ Y9 @ Y10))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK17 @ Y10)) | (in @ Y9 @ Y7 @ Y10)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_1),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1227])).
% 66.87/8.85 thf(f1216,plain,(
% 66.87/8.85 spl0_32 | spl0_31 | ~spl0_2 | ~spl0_28),
% 66.87/8.85 inference(avatar_split_clause,[],[f1215,f1120,f434,f1194,f1197])).
% 66.87/8.85 thf(f1120,plain,(
% 66.87/8.85 spl0_28 <=> ! [X10 : mu,X9 : mu,X7 : mu,X8 : mu,X6 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) = $true) | ((exists_in_world @ X9 @ sK3) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1)))))))))) | ($false = (exists_in_world @ X7 @ sK3)))),
% 66.87/8.85 introduced(avatar_definition,[new_symbols(naming,[spl0_28])])).
% 66.87/8.85 thf(f1215,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ X0 @ Y0))))) = $true) | ((exists_in_world @ X0 @ sK3) = $false) | ((exists_in_world @ X3 @ sK3) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X2 @ Y0)))))) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X0 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_28)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1214])).
% 66.87/8.85 thf(f1214,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X0 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X2 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X2 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ X0 @ Y0))))) = $true) | ($false = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ X3 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3))) ) | (~spl0_2 | ~spl0_28)),
% 66.87/8.85 inference(forward_demodulation,[],[f1213,f536])).
% 66.87/8.85 thf(f536,plain,(
% 66.87/8.85 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0)))))) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f533])).
% 66.87/8.85 thf(f533,plain,(
% 66.87/8.85 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0)))))))))))) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f531])).
% 66.87/8.85 thf(f531,plain,(
% 66.87/8.85 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0)))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f529])).
% 66.87/8.85 thf(f529,plain,(
% 66.87/8.85 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f527])).
% 66.87/8.85 thf(f527,plain,(
% 66.87/8.85 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f525])).
% 66.87/8.85 thf(f525,plain,(
% 66.87/8.85 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0)))))))))))))))) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f523])).
% 66.87/8.85 thf(f523,plain,(
% 66.87/8.85 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f521])).
% 66.87/8.85 thf(f521,plain,(
% 66.87/8.85 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f519])).
% 66.87/8.85 thf(f519,plain,(
% 66.87/8.85 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0)))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f517])).
% 66.87/8.85 thf(f517,plain,(
% 66.87/8.85 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f515])).
% 66.87/8.85 thf(f515,plain,(
% 66.87/8.85 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0)))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f513])).
% 66.87/8.85 thf(f513,plain,(
% 66.87/8.85 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f511])).
% 66.87/8.85 thf(f511,plain,(
% 66.87/8.85 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))))))))) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f509])).
% 66.87/8.85 thf(f509,plain,(
% 66.87/8.85 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f507])).
% 66.87/8.85 thf(f507,plain,(
% 66.87/8.85 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0)))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f505])).
% 66.87/8.85 thf(f505,plain,(
% 66.87/8.85 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f503])).
% 66.87/8.85 thf(f503,plain,(
% 66.87/8.85 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0)))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f501])).
% 66.87/8.85 thf(f501,plain,(
% 66.87/8.85 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f499])).
% 66.87/8.85 thf(f499,plain,(
% 66.87/8.85 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0)))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f497])).
% 66.87/8.85 thf(f497,plain,(
% 66.87/8.85 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f495])).
% 66.87/8.85 thf(f495,plain,(
% 66.87/8.85 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))))))))))))))))) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f493])).
% 66.87/8.85 thf(f493,plain,(
% 66.87/8.85 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f491])).
% 66.87/8.85 thf(f491,plain,(
% 66.87/8.85 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))))))))))))))))))) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f489])).
% 66.87/8.85 thf(f489,plain,(
% 66.87/8.85 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f487])).
% 66.87/8.85 thf(f487,plain,(
% 66.87/8.85 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))))))))))))))))))))))))))))) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f485])).
% 66.87/8.85 thf(f485,plain,(
% 66.87/8.85 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0)))))))))))))))))))))))))))))))))))) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f484])).
% 66.87/8.85 thf(f484,plain,(
% 66.87/8.85 (((exists_in_world @ sK13 @ sK3) => ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ sK8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ sK5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ sK11 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0)))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(beta_eta_normalization,[],[f483])).
% 66.87/8.85 thf(f483,plain,(
% 66.87/8.85 (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (seat @ sK4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (furniture @ sK4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (front @ sK4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (hollywood @ sK5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (city @ sK5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (event @ sK6 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (chevy @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (car @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (white @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (dirty @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (old @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (street @ sK8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (way @ sK8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (lonely @ sK8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (barrel @ sK6 @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (down @ sK6 @ sK8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ sK6 @ sK5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (seat @ sK11 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (furniture @ sK11 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (front @ sK11 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ sK9 @ sK10 @ Y2))))))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (fellow @ sK9 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (man @ sK9 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (young @ sK9 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (fellow @ sK10 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (man @ sK10 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (young @ sK10 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (qmltpeq @ sK9 @ sK12 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ sK12 @ sK4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (qmltpeq @ sK10 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ Y0 @ sK11 @ Y1))))))))))))))))))))))))))))))))))))) @ sK13) = $false) | ~spl0_2),
% 66.87/8.85 inference(sigma_clausification,[],[f481])).
% 66.87/8.85 thf(f481,plain,(
% 66.87/8.85 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (seat @ sK4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (furniture @ sK4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (front @ sK4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (hollywood @ sK5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (city @ sK5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (event @ sK6 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (chevy @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (car @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (white @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (dirty @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (old @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (street @ sK8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (way @ sK8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (lonely @ sK8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (barrel @ sK6 @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (down @ sK6 @ sK8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ sK6 @ sK5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (seat @ sK11 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (furniture @ sK11 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (front @ sK11 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ sK9 @ sK10 @ Y2))))))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (fellow @ sK9 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (man @ sK9 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (young @ sK9 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (fellow @ sK10 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (man @ sK10 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (young @ sK10 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (qmltpeq @ sK9 @ sK12 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ sK12 @ sK4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (qmltpeq @ sK10 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ Y0 @ sK11 @ Y1)))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f480])).
% 66.87/8.85 thf(f480,plain,(
% 66.87/8.85 (((exists_in_world @ sK12 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (seat @ sK4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (furniture @ sK4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (front @ sK4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (hollywood @ sK5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (city @ sK5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (event @ sK6 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (chevy @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (car @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (white @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (dirty @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (old @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (street @ sK8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (way @ sK8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (lonely @ sK8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (barrel @ sK6 @ sK7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (down @ sK6 @ sK8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ sK6 @ sK5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (seat @ sK11 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (furniture @ sK11 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (front @ sK11 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ sK9 @ sK10 @ Y2))))))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (fellow @ sK9 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (man @ sK9 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (young @ sK9 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (fellow @ sK10 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (man @ sK10 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (young @ sK10 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (qmltpeq @ sK9 @ sK12 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ sK12 @ sK4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (qmltpeq @ sK10 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ Y0 @ sK11 @ Y1))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(beta_eta_normalization,[],[f479])).
% 66.87/8.85 thf(f479,plain,(
% 66.87/8.85 ($false = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (seat @ sK4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (furniture @ sK4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (front @ sK4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (hollywood @ sK5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (city @ sK5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (event @ sK6 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (chevy @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (car @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (white @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (dirty @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (old @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (street @ sK8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (way @ sK8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (lonely @ sK8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (barrel @ sK6 @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (down @ sK6 @ sK8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ sK6 @ sK5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (seat @ sK11 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (furniture @ sK11 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (front @ sK11 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (qmltpeq @ sK9 @ sK10 @ Y3))))))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (fellow @ sK9 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (man @ sK9 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (young @ sK9 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (fellow @ sK10 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (man @ sK10 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (young @ sK10 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (qmltpeq @ sK9 @ Y0 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ Y0 @ sK4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (qmltpeq @ sK10 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ Y1 @ sK11 @ Y2)))))))))))))))))))))))))))))))))))))))) @ sK12)) | ~spl0_2),
% 66.87/8.85 inference(sigma_clausification,[],[f477])).
% 66.87/8.85 thf(f477,plain,(
% 66.87/8.85 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (seat @ sK4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (furniture @ sK4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (front @ sK4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (hollywood @ sK5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (city @ sK5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (event @ sK6 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (chevy @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (car @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (white @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (dirty @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (old @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (street @ sK8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (way @ sK8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (lonely @ sK8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (barrel @ sK6 @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (down @ sK6 @ sK8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ sK6 @ sK5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (seat @ sK11 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (furniture @ sK11 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (front @ sK11 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (qmltpeq @ sK9 @ sK10 @ Y3))))))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (fellow @ sK9 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (man @ sK9 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (young @ sK9 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (fellow @ sK10 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (man @ sK10 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (young @ sK10 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (qmltpeq @ sK9 @ Y0 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ Y0 @ sK4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (qmltpeq @ sK10 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ Y1 @ sK11 @ Y2))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f476])).
% 66.87/8.85 thf(f476,plain,(
% 66.87/8.85 ($false = ((exists_in_world @ sK11 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (seat @ sK4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (furniture @ sK4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (front @ sK4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (hollywood @ sK5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (city @ sK5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (event @ sK6 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (chevy @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (car @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (white @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (dirty @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (old @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (street @ sK8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (way @ sK8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (lonely @ sK8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (barrel @ sK6 @ sK7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (down @ sK6 @ sK8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ sK6 @ sK5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (seat @ sK11 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (furniture @ sK11 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (front @ sK11 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (qmltpeq @ sK9 @ sK10 @ Y3))))))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (fellow @ sK9 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (man @ sK9 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (young @ sK9 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (fellow @ sK10 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (man @ sK10 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (young @ sK10 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (qmltpeq @ sK9 @ Y0 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ Y0 @ sK4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (qmltpeq @ sK10 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ Y1 @ sK11 @ Y2))))))))))))))))))))))))))))))))))))))))))) | ~spl0_2),
% 66.87/8.85 inference(beta_eta_normalization,[],[f475])).
% 66.87/8.85 thf(f475,plain,(
% 66.87/8.85 ($false = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (seat @ sK4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (furniture @ sK4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (front @ sK4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (hollywood @ sK5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (city @ sK5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (event @ sK6 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (chevy @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (car @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (white @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (dirty @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (old @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (street @ sK8 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (way @ sK8 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (lonely @ sK8 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (barrel @ sK6 @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (down @ sK6 @ sK8 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ sK6 @ sK5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (seat @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (furniture @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (front @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (qmltpeq @ sK9 @ sK10 @ Y4))))))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (fellow @ sK9 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (man @ sK9 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (young @ sK9 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (fellow @ sK10 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (man @ sK10 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (young @ sK10 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (qmltpeq @ sK9 @ Y1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ Y1 @ sK4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (qmltpeq @ sK10 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ Y2 @ Y0 @ Y3))))))))))))))))))))))))))))))))))))))))))) @ sK11)) | ~spl0_2),
% 66.87/8.85 inference(sigma_clausification,[],[f473])).
% 66.87/8.85 thf(f473,plain,(
% 66.87/8.85 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (seat @ sK4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (furniture @ sK4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (front @ sK4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (hollywood @ sK5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (city @ sK5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (event @ sK6 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (chevy @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (car @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (white @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (dirty @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (old @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (street @ sK8 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (way @ sK8 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (lonely @ sK8 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (barrel @ sK6 @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (down @ sK6 @ sK8 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ sK6 @ sK5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (seat @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (furniture @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (front @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (qmltpeq @ sK9 @ sK10 @ Y4))))))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (fellow @ sK9 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (man @ sK9 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (young @ sK9 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (fellow @ sK10 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (man @ sK10 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (young @ sK10 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (qmltpeq @ sK9 @ Y1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ Y1 @ sK4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (qmltpeq @ sK10 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ Y2 @ Y0 @ Y3)))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f472])).
% 66.87/8.85 thf(f472,plain,(
% 66.87/8.85 (((exists_in_world @ sK10 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (seat @ sK4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (furniture @ sK4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (front @ sK4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (hollywood @ sK5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (city @ sK5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (event @ sK6 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (chevy @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (car @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (white @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (dirty @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (old @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (street @ sK8 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (way @ sK8 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (lonely @ sK8 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (barrel @ sK6 @ sK7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (down @ sK6 @ sK8 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ sK6 @ sK5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (seat @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (furniture @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (front @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (qmltpeq @ sK9 @ sK10 @ Y4))))))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (fellow @ sK9 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (man @ sK9 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (young @ sK9 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (fellow @ sK10 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (man @ sK10 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (young @ sK10 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (qmltpeq @ sK9 @ Y1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ Y1 @ sK4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (qmltpeq @ sK10 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ Y2 @ Y0 @ Y3))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(beta_eta_normalization,[],[f471])).
% 66.87/8.85 thf(f471,plain,(
% 66.87/8.85 (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (seat @ sK4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (furniture @ sK4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (front @ sK4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (hollywood @ sK5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (city @ sK5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (event @ sK6 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (chevy @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (car @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (white @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (dirty @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (old @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (street @ sK8 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (way @ sK8 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (lonely @ sK8 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (barrel @ sK6 @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (down @ sK6 @ sK8 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ sK6 @ sK5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (seat @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (furniture @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (front @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (qmltpeq @ sK9 @ Y0 @ Y5))))))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (fellow @ sK9 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (man @ sK9 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (young @ sK9 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (fellow @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (man @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (young @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (qmltpeq @ sK9 @ Y2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ Y2 @ sK4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (qmltpeq @ Y0 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ Y3 @ Y1 @ Y4)))))))))))))))))))))))))))))))))))))))))))))) @ sK10) = $false) | ~spl0_2),
% 66.87/8.85 inference(sigma_clausification,[],[f469])).
% 66.87/8.85 thf(f469,plain,(
% 66.87/8.85 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (seat @ sK4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (furniture @ sK4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (front @ sK4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (hollywood @ sK5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (city @ sK5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (event @ sK6 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (chevy @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (car @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (white @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (dirty @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (old @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (street @ sK8 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (way @ sK8 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (lonely @ sK8 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (barrel @ sK6 @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (down @ sK6 @ sK8 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ sK6 @ sK5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (seat @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (furniture @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (front @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (qmltpeq @ sK9 @ Y0 @ Y5))))))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (fellow @ sK9 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (man @ sK9 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (young @ sK9 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (fellow @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (man @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (young @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (qmltpeq @ sK9 @ Y2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ Y2 @ sK4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (qmltpeq @ Y0 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ Y3 @ Y1 @ Y4))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f468])).
% 66.87/8.85 thf(f468,plain,(
% 66.87/8.85 (((exists_in_world @ sK9 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (seat @ sK4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (furniture @ sK4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (front @ sK4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (hollywood @ sK5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (city @ sK5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (event @ sK6 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (chevy @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (car @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (white @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (dirty @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (old @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (street @ sK8 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (way @ sK8 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (lonely @ sK8 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (barrel @ sK6 @ sK7 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (down @ sK6 @ sK8 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ sK6 @ sK5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (seat @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (furniture @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (front @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (qmltpeq @ sK9 @ Y0 @ Y5))))))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (fellow @ sK9 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (man @ sK9 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (young @ sK9 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (fellow @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (man @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (young @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (qmltpeq @ sK9 @ Y2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ Y2 @ sK4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (qmltpeq @ Y0 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ Y3 @ Y1 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(beta_eta_normalization,[],[f467])).
% 66.87/8.85 thf(f467,plain,(
% 66.87/8.85 (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (seat @ sK4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (furniture @ sK4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (front @ sK4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (hollywood @ sK5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (city @ sK5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (event @ sK6 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (chevy @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (car @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (white @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (dirty @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (old @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (street @ sK8 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (way @ sK8 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (lonely @ sK8 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (barrel @ sK6 @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (down @ sK6 @ sK8 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ sK6 @ sK5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (seat @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (furniture @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (front @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (qmltpeq @ Y0 @ Y1 @ Y6))))))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (fellow @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (man @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (young @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (fellow @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (man @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (young @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (qmltpeq @ Y0 @ Y3 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ Y3 @ sK4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (qmltpeq @ Y1 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ Y4 @ Y2 @ Y5))))))))))))))))))))))))))))))))))))))))))))))))) @ sK9) = $false) | ~spl0_2),
% 66.87/8.85 inference(sigma_clausification,[],[f465])).
% 66.87/8.85 thf(f465,plain,(
% 66.87/8.85 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (seat @ sK4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (furniture @ sK4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (front @ sK4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (hollywood @ sK5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (city @ sK5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (event @ sK6 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (chevy @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (car @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (white @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (dirty @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (old @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (street @ sK8 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (way @ sK8 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (lonely @ sK8 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (barrel @ sK6 @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (down @ sK6 @ sK8 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ sK6 @ sK5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (seat @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (furniture @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (front @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (qmltpeq @ Y0 @ Y1 @ Y6))))))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (fellow @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (man @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (young @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (fellow @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (man @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (young @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (qmltpeq @ Y0 @ Y3 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ Y3 @ sK4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (qmltpeq @ Y1 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ Y4 @ Y2 @ Y5)))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f464])).
% 66.87/8.85 thf(f464,plain,(
% 66.87/8.85 (((exists_in_world @ sK8 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (seat @ sK4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (furniture @ sK4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (front @ sK4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (hollywood @ sK5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (city @ sK5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (event @ sK6 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (chevy @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (car @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (white @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (dirty @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (old @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (street @ sK8 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (way @ sK8 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (lonely @ sK8 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (barrel @ sK6 @ sK7 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (down @ sK6 @ sK8 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ sK6 @ sK5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (seat @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (furniture @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (front @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (qmltpeq @ Y0 @ Y1 @ Y6))))))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (fellow @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (man @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (young @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (fellow @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (man @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (young @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (qmltpeq @ Y0 @ Y3 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ Y3 @ sK4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (qmltpeq @ Y1 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ Y4 @ Y2 @ Y5))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(beta_eta_normalization,[],[f463])).
% 66.87/8.85 thf(f463,plain,(
% 66.87/8.85 ($false = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (seat @ sK4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (furniture @ sK4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (front @ sK4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (hollywood @ sK5 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (city @ sK5 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (event @ sK6 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (chevy @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (car @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (white @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (dirty @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (old @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (street @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (way @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (lonely @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (barrel @ sK6 @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (down @ sK6 @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ sK6 @ sK5 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (seat @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (furniture @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (front @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (qmltpeq @ Y1 @ Y2 @ Y7))))))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (fellow @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (man @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (young @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (fellow @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (man @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (young @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (qmltpeq @ Y1 @ Y4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ Y4 @ sK4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (qmltpeq @ Y2 @ Y5 @ Y6))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ Y5 @ Y3 @ Y6)))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK8)) | ~spl0_2),
% 66.87/8.85 inference(sigma_clausification,[],[f461])).
% 66.87/8.85 thf(f461,plain,(
% 66.87/8.85 ($false = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (seat @ sK4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (furniture @ sK4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (front @ sK4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (hollywood @ sK5 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (city @ sK5 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (event @ sK6 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (chevy @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (car @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (white @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (dirty @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (old @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (street @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (way @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (lonely @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (barrel @ sK6 @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (down @ sK6 @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ sK6 @ sK5 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (seat @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (furniture @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (front @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (qmltpeq @ Y1 @ Y2 @ Y7))))))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (fellow @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (man @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (young @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (fellow @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (man @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (young @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (qmltpeq @ Y1 @ Y4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ Y4 @ sK4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (qmltpeq @ Y2 @ Y5 @ Y6))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ Y5 @ Y3 @ Y6)))))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f460])).
% 66.87/8.85 thf(f460,plain,(
% 66.87/8.85 (((exists_in_world @ sK7 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (seat @ sK4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (furniture @ sK4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (front @ sK4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (hollywood @ sK5 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (city @ sK5 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (event @ sK6 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (chevy @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (car @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (white @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (dirty @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (old @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (street @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (way @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (lonely @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (barrel @ sK6 @ sK7 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (down @ sK6 @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ sK6 @ sK5 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (seat @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (furniture @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (front @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (qmltpeq @ Y1 @ Y2 @ Y7))))))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (fellow @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (man @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (young @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (fellow @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (man @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (young @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (qmltpeq @ Y1 @ Y4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ Y4 @ sK4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (qmltpeq @ Y2 @ Y5 @ Y6))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ Y5 @ Y3 @ Y6)))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(beta_eta_normalization,[],[f459])).
% 66.87/8.85 thf(f459,plain,(
% 66.87/8.85 (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (seat @ sK4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (furniture @ sK4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (front @ sK4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (hollywood @ sK5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (city @ sK5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (event @ sK6 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (chevy @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (car @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (white @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (dirty @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (old @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (street @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (way @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (lonely @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (barrel @ sK6 @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (down @ sK6 @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ sK6 @ sK5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (seat @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (furniture @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (front @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (qmltpeq @ Y2 @ Y3 @ Y8))))))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (fellow @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (man @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (young @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (fellow @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (man @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (young @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (qmltpeq @ Y2 @ Y5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ Y5 @ sK4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (qmltpeq @ Y3 @ Y6 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ Y6 @ Y4 @ Y7))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK7) = $false) | ~spl0_2),
% 66.87/8.85 inference(sigma_clausification,[],[f457])).
% 66.87/8.85 thf(f457,plain,(
% 66.87/8.85 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (seat @ sK4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (furniture @ sK4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (front @ sK4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (hollywood @ sK5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (city @ sK5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (event @ sK6 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (chevy @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (car @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (white @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (dirty @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (old @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (street @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (way @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (lonely @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (barrel @ sK6 @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (down @ sK6 @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ sK6 @ sK5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (seat @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (furniture @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (front @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (qmltpeq @ Y2 @ Y3 @ Y8))))))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (fellow @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (man @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (young @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (fellow @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (man @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (young @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (qmltpeq @ Y2 @ Y5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ Y5 @ sK4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (qmltpeq @ Y3 @ Y6 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ Y6 @ Y4 @ Y7)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f456])).
% 66.87/8.85 thf(f456,plain,(
% 66.87/8.85 (((exists_in_world @ sK6 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (seat @ sK4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (furniture @ sK4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (front @ sK4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (hollywood @ sK5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (city @ sK5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (event @ sK6 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (chevy @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (car @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (white @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (dirty @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (old @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (street @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (way @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (lonely @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (barrel @ sK6 @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (down @ sK6 @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ sK6 @ sK5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (seat @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (furniture @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (front @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (qmltpeq @ Y2 @ Y3 @ Y8))))))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (fellow @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (man @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (young @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (fellow @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (man @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (young @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (qmltpeq @ Y2 @ Y5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ Y5 @ sK4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (qmltpeq @ Y3 @ Y6 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ Y6 @ Y4 @ Y7))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(beta_eta_normalization,[],[f455])).
% 66.87/8.85 thf(f455,plain,(
% 66.87/8.85 ($false = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (seat @ sK4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (furniture @ sK4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (front @ sK4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (hollywood @ sK5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (city @ sK5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (event @ Y0 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (chevy @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (car @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (white @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (dirty @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (old @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (street @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (way @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (lonely @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (barrel @ Y0 @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (down @ Y0 @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y0 @ sK5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (seat @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (furniture @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (front @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ Y8 @ Y9)) | (qmltpeq @ Y3 @ Y4 @ Y9))))))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (fellow @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (man @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (young @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (fellow @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (man @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (young @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (qmltpeq @ Y3 @ Y6 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y6 @ sK4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (qmltpeq @ Y4 @ Y7 @ Y8))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y7 @ Y5 @ Y8)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK6)) | ~spl0_2),
% 66.87/8.85 inference(sigma_clausification,[],[f453])).
% 66.87/8.85 thf(f453,plain,(
% 66.87/8.85 ($false = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (seat @ sK4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (furniture @ sK4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (front @ sK4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (hollywood @ sK5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (city @ sK5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (event @ Y0 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (chevy @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (car @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (white @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (dirty @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (old @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (street @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (way @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (lonely @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (barrel @ Y0 @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (down @ Y0 @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y0 @ sK5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (seat @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (furniture @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (front @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ Y8 @ Y9)) | (qmltpeq @ Y3 @ Y4 @ Y9))))))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (fellow @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (man @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (young @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (fellow @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (man @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (young @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (qmltpeq @ Y3 @ Y6 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y6 @ sK4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (qmltpeq @ Y4 @ Y7 @ Y8))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y7 @ Y5 @ Y8)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f452])).
% 66.87/8.85 thf(f452,plain,(
% 66.87/8.85 (((exists_in_world @ sK5 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (seat @ sK4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (furniture @ sK4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (front @ sK4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (hollywood @ sK5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (city @ sK5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (event @ Y0 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (chevy @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (car @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (white @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (dirty @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (old @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (street @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (way @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (lonely @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (barrel @ Y0 @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (down @ Y0 @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y0 @ sK5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (seat @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (furniture @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (front @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ Y8 @ Y9)) | (qmltpeq @ Y3 @ Y4 @ Y9))))))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (fellow @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (man @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (young @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (fellow @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (man @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (young @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (qmltpeq @ Y3 @ Y6 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y6 @ sK4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (qmltpeq @ Y4 @ Y7 @ Y8))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y7 @ Y5 @ Y8)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(beta_eta_normalization,[],[f451])).
% 66.87/8.85 thf(f451,plain,(
% 66.87/8.85 ($false = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK3) => ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (seat @ sK4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (furniture @ sK4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (front @ sK4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (hollywood @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (city @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (event @ Y1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (chevy @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (car @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (white @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (dirty @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (old @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (street @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (way @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (lonely @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (barrel @ Y1 @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (down @ Y1 @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y1 @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (seat @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (furniture @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (front @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ Y9 @ Y10)) | (qmltpeq @ Y4 @ Y5 @ Y10))))))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (fellow @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (man @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (young @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (fellow @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (man @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (young @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (qmltpeq @ Y4 @ Y7 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y7 @ sK4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (qmltpeq @ Y5 @ Y8 @ Y9))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y8 @ Y6 @ Y9))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK5)) | ~spl0_2),
% 66.87/8.85 inference(sigma_clausification,[],[f449])).
% 66.87/8.85 thf(f449,plain,(
% 66.87/8.85 ($false = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK3) => ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (seat @ sK4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (furniture @ sK4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (front @ sK4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (hollywood @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (city @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (event @ Y1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (chevy @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (car @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (white @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (dirty @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (old @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (street @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (way @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (lonely @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (barrel @ Y1 @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (down @ Y1 @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y1 @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (seat @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (furniture @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (front @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ Y9 @ Y10)) | (qmltpeq @ Y4 @ Y5 @ Y10))))))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (fellow @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (man @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (young @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (fellow @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (man @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (young @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (qmltpeq @ Y4 @ Y7 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y7 @ sK4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (qmltpeq @ Y5 @ Y8 @ Y9))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y8 @ Y6 @ Y9))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f448])).
% 66.87/8.85 thf(f448,plain,(
% 66.87/8.85 (((exists_in_world @ sK4 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK3) => ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (seat @ sK4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (furniture @ sK4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (front @ sK4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (hollywood @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (city @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (event @ Y1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (chevy @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (car @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (white @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (dirty @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (old @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (street @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (way @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (lonely @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (barrel @ Y1 @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (down @ Y1 @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y1 @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (seat @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (furniture @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (front @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ Y9 @ Y10)) | (qmltpeq @ Y4 @ Y5 @ Y10))))))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (fellow @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (man @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (young @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (fellow @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (man @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (young @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (qmltpeq @ Y4 @ Y7 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y7 @ sK4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (qmltpeq @ Y5 @ Y8 @ Y9))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y8 @ Y6 @ Y9))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(beta_eta_normalization,[],[f447])).
% 66.87/8.85 thf(f447,plain,(
% 66.87/8.85 ($false = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK3) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ sK3) => ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (hollywood @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (city @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (event @ Y2 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (chevy @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (car @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (white @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (dirty @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (old @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (street @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (way @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (lonely @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (barrel @ Y2 @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (down @ Y2 @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y2 @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y10 @ Y11)) | (qmltpeq @ Y5 @ Y6 @ Y11))))))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y5 @ Y8 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y8 @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y6 @ Y9 @ Y10))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y9 @ Y7 @ Y10)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK4)) | ~spl0_2),
% 66.87/8.85 inference(sigma_clausification,[],[f446])).
% 66.87/8.85 thf(f446,plain,(
% 66.87/8.85 ($false = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK3) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ sK3) => ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (hollywood @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (city @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (event @ Y2 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (chevy @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (car @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (white @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (dirty @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (old @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (street @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (way @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (lonely @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (barrel @ Y2 @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (down @ Y2 @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y2 @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y10 @ Y11)) | (qmltpeq @ Y5 @ Y6 @ Y11))))))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y5 @ Y8 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y8 @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y6 @ Y9 @ Y10))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y9 @ Y7 @ Y10)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f443])).
% 66.87/8.85 thf(f443,plain,(
% 66.87/8.85 (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK3) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ sK3) => ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (hollywood @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (city @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (event @ Y2 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (chevy @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (car @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (white @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (dirty @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (old @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (street @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (way @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (lonely @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (barrel @ Y2 @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (down @ Y2 @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y2 @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y10 @ Y11)) | (qmltpeq @ Y5 @ Y6 @ Y11))))))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y5 @ Y8 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y8 @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y6 @ Y9 @ Y10))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y9 @ Y7 @ Y10))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK3) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ sK3) => ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (hollywood @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (city @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (event @ Y2 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (chevy @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (car @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (white @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (dirty @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (old @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (street @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (way @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (lonely @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (barrel @ Y2 @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (down @ Y2 @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y2 @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y10 @ Y11)) | (qmltpeq @ Y5 @ Y6 @ Y11))))))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y5 @ Y8 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y8 @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y6 @ Y9 @ Y10))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y9 @ Y0 @ Y10))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f442])).
% 66.87/8.85 thf(f442,plain,(
% 66.87/8.85 (((~ (rel_s4 @ sK2 @ sK3)) | ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK3) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ sK3) => ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (hollywood @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (city @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (event @ Y2 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (chevy @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (car @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (white @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (dirty @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (old @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (street @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (way @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (lonely @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (barrel @ Y2 @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (down @ Y2 @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y2 @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y10 @ Y11)) | (qmltpeq @ Y5 @ Y6 @ Y11))))))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y5 @ Y8 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y8 @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y6 @ Y9 @ Y10))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y9 @ Y7 @ Y10))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK3) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ sK3) => ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (hollywood @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (city @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (event @ Y2 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (chevy @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (car @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (white @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (dirty @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (old @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (street @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (way @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (lonely @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (barrel @ Y2 @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (down @ Y2 @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y2 @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y10 @ Y11)) | (qmltpeq @ Y5 @ Y6 @ Y11))))))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y5 @ Y8 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y8 @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y6 @ Y9 @ Y10))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y9 @ Y0 @ Y10)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(beta_eta_normalization,[],[f441])).
% 66.87/8.85 thf(f441,plain,(
% 66.87/8.85 ($false = ((^[Y0 : $i]: ((~ (rel_s4 @ sK2 @ Y0)) | ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y8 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y1 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK3)) | ~spl0_2),
% 66.87/8.85 inference(sigma_clausification,[],[f440])).
% 66.87/8.85 thf(f440,plain,(
% 66.87/8.85 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK2 @ Y0)) | ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y8 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y1 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_2),
% 66.87/8.85 inference(not_proxy_clausification,[],[f435])).
% 66.87/8.85 thf(f1213,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X0 @ X1 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X2 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ X3 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X2 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_28)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1212])).
% 66.87/8.85 thf(f1212,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ X0 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X2 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X0 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((exists_in_world @ X0 @ sK3) = $false) | ((exists_in_world @ X3 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X2 @ Y0))))) = $true) | ($false = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ X3 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_28)),
% 66.87/8.85 inference(forward_demodulation,[],[f1211,f534])).
% 66.87/8.85 thf(f534,plain,(
% 66.87/8.85 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0)))))) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f531])).
% 66.87/8.85 thf(f1211,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X2 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X0 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ X0 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0)))))) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X2 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_28)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1210])).
% 66.87/8.85 thf(f1210,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ X0 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X2 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0)))))) | ((exists_in_world @ X0 @ sK3) = $false) | ((exists_in_world @ X3 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X0 @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X2 @ Y0))))) = $true) | ($false = $true)) ) | (~spl0_2 | ~spl0_28)),
% 66.87/8.85 inference(forward_demodulation,[],[f1209,f538])).
% 66.87/8.85 thf(f538,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f535])).
% 66.87/8.85 thf(f535,plain,(
% 66.87/8.85 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0)))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f533])).
% 66.87/8.85 thf(f1209,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X2 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X0 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X2 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) = $true) | ((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ X3 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_28)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1208])).
% 66.87/8.85 thf(f1208,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X0 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X2 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ X3 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_28)),
% 66.87/8.85 inference(forward_demodulation,[],[f1207,f540])).
% 66.87/8.85 thf(f540,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f537])).
% 66.87/8.85 thf(f537,plain,(
% 66.87/8.85 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ sK12 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK12 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ sK13 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK13 @ sK11 @ Y0))))))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f535])).
% 66.87/8.85 thf(f1207,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X0 @ X1 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X2 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X2 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) = $true) | ((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ X0 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_28)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1206])).
% 66.87/8.85 thf(f1206,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) = $true) | ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X2 @ Y0)))))) | ((exists_in_world @ X3 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X0 @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ X3 @ Y0))))) = $true) | ((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_28)),
% 66.87/8.85 inference(forward_demodulation,[],[f1205,f474])).
% 66.87/8.85 thf(f474,plain,(
% 66.87/8.85 ((exists_in_world @ sK10 @ sK3) = $true) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f472])).
% 66.87/8.85 thf(f1205,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ sK10 @ sK3) = $false) | ((exists_in_world @ X3 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ X0 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X2 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X2 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X0 @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_28)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1204])).
% 66.87/8.85 thf(f1204,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X2 @ Y0))))) = $true) | ((exists_in_world @ sK10 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X0 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) = $true) | ((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ X0 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X2 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0)))))) | ((exists_in_world @ X2 @ sK3) = $false) | ((exists_in_world @ X3 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_28)),
% 66.87/8.85 inference(forward_demodulation,[],[f1203,f530])).
% 66.87/8.85 thf(f530,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f527])).
% 66.87/8.85 thf(f1203,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((exists_in_world @ sK10 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X2 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X0 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((exists_in_world @ X0 @ sK3) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X2 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_28)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1202])).
% 66.87/8.85 thf(f1202,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X2 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ X0 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X2 @ Y0))))) = $true) | ((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X0 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) = $true) | ((exists_in_world @ sK10 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_28)),
% 66.87/8.85 inference(forward_demodulation,[],[f1201,f470])).
% 66.87/8.85 thf(f470,plain,(
% 66.87/8.85 ((exists_in_world @ sK9 @ sK3) = $true) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f468])).
% 66.87/8.85 thf(f1201,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X2 @ Y0))))) = $true) | ((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ X3 @ Y0))))) = $true) | ($false = (exists_in_world @ sK9 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X0 @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X2 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ X0 @ Y0))))) = $true) | ((exists_in_world @ sK10 @ sK3) = $false) | ((exists_in_world @ X3 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_28)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1200])).
% 66.87/8.85 thf(f1200,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) = $true) | ($false = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X2 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ X0 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((exists_in_world @ sK10 @ sK3) = $false) | ((exists_in_world @ X0 @ sK3) = $false) | ($false = (exists_in_world @ sK9 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X0 @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_28)),
% 66.87/8.85 inference(forward_demodulation,[],[f1175,f532])).
% 66.87/8.85 thf(f532,plain,(
% 66.87/8.85 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0)))))) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f529])).
% 66.87/8.85 thf(f1175,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((exists_in_world @ X3 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X2 @ Y0))))) = $true) | ($false = (exists_in_world @ sK9 @ sK3)) | ((exists_in_world @ sK10 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ X0 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X2 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) = $true) | ((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ X3 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X2 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X0 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_28)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1174])).
% 66.87/8.85 thf(f1174,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK9 @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK9 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ sK10 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK9 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK9 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X2 @ Y0)))))) | ((exists_in_world @ X3 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ sK10 @ X3 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ($false = (exists_in_world @ sK9 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ sK10 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ sK10 @ Y0))))) = $true) | ($false = $true) | ((exists_in_world @ sK10 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X0 @ X1 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_28)),
% 66.87/8.85 inference(superposition,[],[f528,f1121])).
% 66.87/8.85 thf(f1121,plain,(
% 66.87/8.85 ( ! [X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1)))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK3) = $false) | ((exists_in_world @ X6 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) = $true) | ((exists_in_world @ X9 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) = $true) | ($false = (exists_in_world @ X7 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) = $true)) ) | ~spl0_28),
% 66.87/8.85 inference(avatar_component_clause,[],[f1120])).
% 66.87/8.85 thf(f528,plain,(
% 66.87/8.85 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ sK9 @ sK10 @ Y1)))))))))) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f525])).
% 66.87/8.85 thf(f1171,plain,(
% 66.87/8.85 spl0_29 | spl0_30 | ~spl0_2 | ~spl0_27),
% 66.87/8.85 inference(avatar_split_clause,[],[f1170,f1117,f434,f1152,f1149])).
% 66.87/8.85 thf(f1117,plain,(
% 66.87/8.85 spl0_27 <=> ! [X3 : mu,X4 : mu,X5 : mu,X2 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((exists_in_world @ X3 @ sK3) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ($false = (exists_in_world @ X4 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) = $true))),
% 66.87/8.85 introduced(avatar_definition,[new_symbols(naming,[spl0_27])])).
% 66.87/8.85 thf(f1170,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X0 @ sK3) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ X0 @ Y0))))))) ) | (~spl0_2 | ~spl0_27)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1169])).
% 66.87/8.85 thf(f1169,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ((exists_in_world @ X0 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3))) ) | (~spl0_2 | ~spl0_27)),
% 66.87/8.85 inference(forward_demodulation,[],[f1168,f502])).
% 66.87/8.85 thf(f502,plain,(
% 66.87/8.85 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0)))))) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f499])).
% 66.87/8.85 thf(f1168,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ X0 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X1 @ Y0))))) = $true) | ((exists_in_world @ X0 @ sK3) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X1 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_27)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1167])).
% 66.87/8.85 thf(f1167,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X1 @ Y0))))) = $true) | ((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ($false = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0))))))) ) | (~spl0_2 | ~spl0_27)),
% 66.87/8.85 inference(forward_demodulation,[],[f1166,f498])).
% 66.87/8.85 thf(f498,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f495])).
% 66.87/8.85 thf(f1166,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ X1 @ Y0))))) = $true) | ((exists_in_world @ X0 @ sK3) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X1 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_27)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1165])).
% 66.87/8.85 thf(f1165,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X1 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_27)),
% 66.87/8.85 inference(forward_demodulation,[],[f1164,f504])).
% 66.87/8.85 thf(f504,plain,(
% 66.87/8.85 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0)))))) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f501])).
% 66.87/8.85 thf(f1164,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X1 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_27)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1163])).
% 66.87/8.85 thf(f1163,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ X0 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK3)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) = $true) | ($false = $true)) ) | (~spl0_2 | ~spl0_27)),
% 66.87/8.85 inference(forward_demodulation,[],[f1162,f506])).
% 66.87/8.85 thf(f506,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f503])).
% 66.87/8.85 thf(f1162,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((exists_in_world @ X0 @ sK3) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ X1 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_27)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1161])).
% 66.87/8.85 thf(f1161,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0)))))) | ((exists_in_world @ X0 @ sK3) = $false)) ) | (~spl0_2 | ~spl0_27)),
% 66.87/8.85 inference(forward_demodulation,[],[f1160,f458])).
% 66.87/8.85 thf(f458,plain,(
% 66.87/8.85 ((exists_in_world @ sK6 @ sK3) = $true) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f456])).
% 66.87/8.85 thf(f1160,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ X1 @ Y0))))) = $true) | ((exists_in_world @ sK6 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ((exists_in_world @ X0 @ sK3) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0))))))) ) | (~spl0_2 | ~spl0_27)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1159])).
% 66.87/8.85 thf(f1159,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) = $true) | ((exists_in_world @ sK6 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0)))))) | ((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X1 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_27)),
% 66.87/8.85 inference(forward_demodulation,[],[f1158,f462])).
% 66.87/8.85 thf(f462,plain,(
% 66.87/8.85 ($true = (exists_in_world @ sK7 @ sK3)) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f460])).
% 66.87/8.85 thf(f1158,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (($false = (exists_in_world @ sK7 @ sK3)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ X1 @ Y0))))) = $true) | ((exists_in_world @ sK6 @ sK3) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ X0 @ Y0)))))) | ((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3))) ) | (~spl0_2 | ~spl0_27)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1157])).
% 66.87/8.85 thf(f1157,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ($false = (exists_in_world @ sK7 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ((exists_in_world @ sK6 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) = $true) | ($false = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0)))))) | ((exists_in_world @ X0 @ sK3) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X1 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_27)),
% 66.87/8.85 inference(forward_demodulation,[],[f1156,f500])).
% 66.87/8.85 thf(f500,plain,(
% 66.87/8.85 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ sK7 @ Y0)))))) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f497])).
% 66.87/8.85 thf(f1156,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ sK7 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) = $true) | ((exists_in_world @ sK6 @ sK3) = $false) | ((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ($false = (exists_in_world @ sK7 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X1 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_27)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1155])).
% 66.87/8.85 thf(f1155,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ sK7 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ sK7 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ((exists_in_world @ sK6 @ sK3) = $false) | ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_27)),
% 66.87/8.85 inference(forward_demodulation,[],[f1126,f508])).
% 66.87/8.85 thf(f508,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) = $false) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f505])).
% 66.87/8.85 thf(f1126,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0)))))) | ($false = (exists_in_world @ sK7 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ sK6 @ sK3) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ sK7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_27)),
% 66.87/8.85 inference(trivial_inequality_removal,[],[f1124])).
% 66.87/8.85 thf(f1124,plain,(
% 66.87/8.85 ( ! [X0 : mu,X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X0 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ sK7 @ sK3)) | ((exists_in_world @ X0 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ sK7 @ Y0))))) = $true) | ($false = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ sK6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ sK7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ sK7 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ sK7 @ Y0)))))) | ((exists_in_world @ sK6 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ sK7 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ sK6 @ X0 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ sK6 @ X1 @ Y0))))) = $true)) ) | (~spl0_2 | ~spl0_27)),
% 66.87/8.85 inference(superposition,[],[f1118,f516])).
% 66.87/8.85 thf(f516,plain,(
% 66.87/8.85 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ sK6 @ sK7 @ Y0)))))) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f513])).
% 66.87/8.85 thf(f1118,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ($false = (exists_in_world @ X4 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true)) ) | ~spl0_27),
% 66.87/8.85 inference(avatar_component_clause,[],[f1117])).
% 66.87/8.85 thf(f1122,plain,(
% 66.87/8.85 spl0_27 | spl0_28 | ~spl0_2),
% 66.87/8.85 inference(avatar_split_clause,[],[f1115,f434,f1120,f1117])).
% 66.87/8.85 thf(f1115,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) = $true) | ($false = (exists_in_world @ X7 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1)))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ($false = (exists_in_world @ X4 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X3 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0))))) = $true) | ((exists_in_world @ X9 @ sK3) = $false) | ((exists_in_world @ X6 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK3) = $false)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1114])).
% 66.87/8.85 thf(f1114,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((exists_in_world @ X9 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1)))))))))) | ($false = (exists_in_world @ X4 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) = $true) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0)))))) | ((exists_in_world @ X6 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X10 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1113])).
% 66.87/8.85 thf(f1113,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ($false = (exists_in_world @ X7 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) = $true) | ((exists_in_world @ X9 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ($false = (exists_in_world @ X4 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1)))))))))) | ((exists_in_world @ X6 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1112])).
% 66.87/8.85 thf(f1112,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X10 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ($false = (exists_in_world @ X4 @ sK3)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1)))))))))) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0)))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1111])).
% 66.87/8.85 thf(f1111,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK3) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1)))))))))) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK3) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0)))))) | ((exists_in_world @ X9 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ($false = (exists_in_world @ X4 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1110])).
% 66.87/8.85 thf(f1110,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X4 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) = $true) | ((exists_in_world @ X9 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK3) = $false) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0))))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK3) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0)))))) | ($false = (exists_in_world @ X7 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1)))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1109])).
% 66.87/8.85 thf(f1109,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK3) = $false) | ((exists_in_world @ X6 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ($false = (exists_in_world @ X4 @ sK3)) | ($false = (exists_in_world @ X7 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1)))))))))) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0))))))))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1108])).
% 66.87/8.85 thf(f1108,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK3) = $false) | ((exists_in_world @ X3 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ($false = (exists_in_world @ X4 @ sK3)) | ((exists_in_world @ X6 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ($false = (exists_in_world @ X7 @ sK3)) | ((exists_in_world @ X10 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0)))))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1)))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1107])).
% 66.87/8.85 thf(f1107,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0)))))) | ($false = (exists_in_world @ X7 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK3) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0))))))))))))) = $true) | ((exists_in_world @ X10 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) = $true) | ($false = (exists_in_world @ X4 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1)))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1106])).
% 66.87/8.85 thf(f1106,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0))))))))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1)))))))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((exists_in_world @ X6 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ($false = (exists_in_world @ X4 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((exists_in_world @ X9 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X7 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1105])).
% 66.87/8.85 thf(f1105,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((exists_in_world @ X6 @ sK3) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ($false = (exists_in_world @ X4 @ sK3)) | ((exists_in_world @ X10 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ($false = (exists_in_world @ X7 @ sK3)) | ((exists_in_world @ X3 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0))))))))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1104])).
% 66.87/8.85 thf(f1104,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0)))))) | ($false = (exists_in_world @ X4 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ($false = (exists_in_world @ X7 @ sK3)) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0)))))))))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK3) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1103])).
% 66.87/8.85 thf(f1103,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X3 @ sK3) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ($false = (exists_in_world @ X4 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X7 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0))))))))))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1102])).
% 66.87/8.85 thf(f1102,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ($false = (exists_in_world @ X4 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK3) = $false) | ((exists_in_world @ X6 @ sK3) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0))))))))))))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((exists_in_world @ X9 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1101])).
% 66.87/8.85 thf(f1101,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ($false = (exists_in_world @ X7 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X4 @ sK3)) | ((exists_in_world @ X6 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK3) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) = $true) | ((exists_in_world @ X9 @ sK3) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0)))))))))))))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1100])).
% 66.87/8.85 thf(f1100,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X6 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) = $true) | ($false = (exists_in_world @ X4 @ sK3)) | ((exists_in_world @ X10 @ sK3) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0)))))))))))))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1099])).
% 66.87/8.85 thf(f1099,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X10 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ($false = (exists_in_world @ X4 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0))))))))))))))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0)))))) | ($false = (exists_in_world @ X7 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ((exists_in_world @ X3 @ sK3) = $false)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1098])).
% 66.87/8.85 thf(f1098,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ($false = (exists_in_world @ X7 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X4 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK3) = $false) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK3) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((exists_in_world @ X9 @ sK3) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0)))))))))))))))))))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1097])).
% 66.87/8.85 thf(f1097,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X4 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X10 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0))))))))))))))))))))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X3 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1096])).
% 66.87/8.85 thf(f1096,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X3 @ sK3) = $false) | ((exists_in_world @ X10 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK3) = $false) | ($false = (exists_in_world @ X4 @ sK3)) | ((exists_in_world @ X2 @ sK3) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0)))))))))))))))))))))))) = $true) | ($false = (exists_in_world @ X7 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((exists_in_world @ X9 @ sK3) = $false)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1095])).
% 66.87/8.85 thf(f1095,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X4 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((exists_in_world @ X6 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ($false = (exists_in_world @ X7 @ sK3)) | ((exists_in_world @ X10 @ sK3) = $false) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0)))))))))))))))))))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1094])).
% 66.87/8.85 thf(f1094,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X7 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((exists_in_world @ X9 @ sK3) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0)))))))))))))))))))))))))) = $true) | ((exists_in_world @ X10 @ sK3) = $false) | ((exists_in_world @ X6 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ($false = (exists_in_world @ X4 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1093])).
% 66.87/8.85 thf(f1093,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ($false = (exists_in_world @ X7 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((exists_in_world @ X9 @ sK3) = $false) | ((exists_in_world @ X10 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X2 @ sK3) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ($false = (exists_in_world @ X4 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0))))))))))))))))))))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1092])).
% 66.87/8.85 thf(f1092,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X10 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ($false = (exists_in_world @ X4 @ sK3)) | ($false = (exists_in_world @ X7 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0))))))))))))))))))))))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3))) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1091])).
% 66.87/8.85 thf(f1091,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X6 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X7 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X2 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK3) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) = $true) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X4 @ sK3)) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0))))))))))))))))))))))))))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1090])).
% 66.87/8.85 thf(f1090,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X10 @ sK3) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0)))))))))))))))))))))))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ($false = (exists_in_world @ X4 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK3) = $false) | ((exists_in_world @ X6 @ sK3) = $false) | ((exists_in_world @ X2 @ sK3) = $false) | ((exists_in_world @ X3 @ sK3) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X7 @ sK3))) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1089])).
% 66.87/8.85 thf(f1089,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X4 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0)))))))))))))))))))))))))))))))) | ((exists_in_world @ X8 @ sK3) = $false) | ((exists_in_world @ X2 @ sK3) = $false) | ((exists_in_world @ X6 @ sK3) = $false) | ((exists_in_world @ X3 @ sK3) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ((exists_in_world @ X10 @ sK3) = $false)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1088])).
% 66.87/8.85 thf(f1088,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) = $true) | ((exists_in_world @ X6 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ((exists_in_world @ X8 @ sK3) = $false) | ((exists_in_world @ X2 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X3 @ sK3) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X4 @ sK3)) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0)))))))))))))))))))))))))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((exists_in_world @ X10 @ sK3) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X5 @ sK3))) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1087])).
% 66.87/8.85 thf(f1087,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X8 @ sK3) = $false) | ((exists_in_world @ X6 @ sK3) = $false) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0)))))))))))))))))))))))))))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X2 @ sK3) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((exists_in_world @ X10 @ sK3) = $false) | ((exists_in_world @ X3 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) = $true) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X4 @ sK3))) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1086])).
% 66.87/8.85 thf(f1086,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X6 @ sK3) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((exists_in_world @ X2 @ sK3) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ((exists_in_world @ X10 @ sK3) = $false) | ($false = (exists_in_world @ X4 @ sK3)) | ((exists_in_world @ X3 @ sK3) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0)))))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X9 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1085])).
% 66.87/8.85 thf(f1085,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X4 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0))))))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X6 @ sK3) = $false) | ((exists_in_world @ X3 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X10 @ sK3) = $false) | ((exists_in_world @ X2 @ sK3) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1084])).
% 66.87/8.85 thf(f1084,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : ((((exists_in_world @ X10 @ sK3) => ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (hollywood @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (city @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (event @ X3 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (chevy @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (car @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (white @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (dirty @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (old @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (street @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (way @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (lonely @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (barrel @ X3 @ X4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (down @ X3 @ X5 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X3 @ X2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (seat @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (furniture @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (front @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (qmltpeq @ X6 @ X7 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X6 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (fellow @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (man @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (young @ X7 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X6 @ X9 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X9 @ X8 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (qmltpeq @ X7 @ X10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | (in @ X10 @ X1 @ Y0)))))))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X8 @ sK3) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X4 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X2 @ sK3) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X6 @ sK3) = $false) | ((exists_in_world @ X3 @ sK3) = $false)) ) | ~spl0_2),
% 66.87/8.85 inference(beta_eta_normalization,[],[f1083])).
% 66.87/8.85 thf(f1083,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X6 @ sK3) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ($false = (exists_in_world @ X4 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ((exists_in_world @ X3 @ sK3) = $false) | ((exists_in_world @ X2 @ sK3) = $false) | (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (seat @ X1 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (furniture @ X1 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (front @ X1 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (hollywood @ X2 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (city @ X2 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (event @ X3 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (chevy @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (car @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (white @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (dirty @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (old @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (street @ X5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (way @ X5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (lonely @ X5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (barrel @ X3 @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (down @ X3 @ X5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ X3 @ X2 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (seat @ X8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (furniture @ X8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (front @ X8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ X6 @ X7 @ Y2))))))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (fellow @ X6 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (man @ X6 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (young @ X6 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (fellow @ X7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (man @ X7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (young @ X7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (qmltpeq @ X6 @ X9 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ X9 @ X8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (qmltpeq @ X7 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ Y0 @ X1 @ Y1))))))))))))))))))))))))))))))))))))) @ X10) = $true) | ($false = (exists_in_world @ X1 @ sK3))) ) | ~spl0_2),
% 66.87/8.85 inference(pi_clausification,[],[f1082])).
% 66.87/8.85 thf(f1082,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X4 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X6 @ sK3) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((exists_in_world @ X2 @ sK3) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ((exists_in_world @ X3 @ sK3) = $false) | ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (seat @ X1 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (furniture @ X1 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (front @ X1 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (hollywood @ X2 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (city @ X2 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (event @ X3 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (chevy @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (car @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (white @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (dirty @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (old @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (street @ X5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (way @ X5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (lonely @ X5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (barrel @ X3 @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (down @ X3 @ X5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ X3 @ X2 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (seat @ X8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (furniture @ X8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (front @ X8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ X6 @ X7 @ Y2))))))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (fellow @ X6 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (man @ X6 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (young @ X6 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (fellow @ X7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (man @ X7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (young @ X7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (qmltpeq @ X6 @ X9 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ X9 @ X8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (qmltpeq @ X7 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ Y0 @ X1 @ Y1)))))))))))))))))))))))))))))))))))))) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1081])).
% 66.87/8.85 thf(f1081,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X4 @ sK3)) | ((exists_in_world @ X6 @ sK3) = $false) | ((exists_in_world @ X2 @ sK3) = $false) | (((exists_in_world @ X9 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (seat @ X1 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (furniture @ X1 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (front @ X1 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (hollywood @ X2 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (city @ X2 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (event @ X3 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (chevy @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (car @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (white @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (dirty @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (old @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (street @ X5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (way @ X5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (lonely @ X5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (barrel @ X3 @ X4 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (down @ X3 @ X5 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ X3 @ X2 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (seat @ X8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (furniture @ X8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (front @ X8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ X6 @ X7 @ Y2))))))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (fellow @ X6 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (man @ X6 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (young @ X6 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (fellow @ X7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (man @ X7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (young @ X7 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (qmltpeq @ X6 @ X9 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ X9 @ X8 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (qmltpeq @ X7 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK3 @ Y1)) | (in @ Y0 @ X1 @ Y1))))))))))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X8 @ sK3) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((exists_in_world @ X3 @ sK3) = $false) | ($false = (exists_in_world @ X5 @ sK3))) ) | ~spl0_2),
% 66.87/8.85 inference(beta_eta_normalization,[],[f1080])).
% 66.87/8.85 thf(f1080,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X2 @ sK3) = $false) | ((exists_in_world @ X3 @ sK3) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X4 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X6 @ sK3) = $false) | (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (seat @ X1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (furniture @ X1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (front @ X1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (hollywood @ X2 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (city @ X2 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (event @ X3 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (chevy @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (car @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (white @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (dirty @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (old @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (street @ X5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (way @ X5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (lonely @ X5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (barrel @ X3 @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (down @ X3 @ X5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ X3 @ X2 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (seat @ X8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (furniture @ X8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (front @ X8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (qmltpeq @ X6 @ X7 @ Y3))))))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (fellow @ X6 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (man @ X6 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (young @ X6 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (fellow @ X7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (man @ X7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (young @ X7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (qmltpeq @ X6 @ Y0 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ Y0 @ X8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (qmltpeq @ X7 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ Y1 @ X1 @ Y2)))))))))))))))))))))))))))))))))))))))) @ X9) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false)) ) | ~spl0_2),
% 66.87/8.85 inference(pi_clausification,[],[f1079])).
% 66.87/8.85 thf(f1079,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X8 : mu,X6 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X3 @ sK3) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (seat @ X1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (furniture @ X1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (front @ X1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (hollywood @ X2 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (city @ X2 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (event @ X3 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (chevy @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (car @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (white @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (dirty @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (old @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (street @ X5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (way @ X5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (lonely @ X5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (barrel @ X3 @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (down @ X3 @ X5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ X3 @ X2 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (seat @ X8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (furniture @ X8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (front @ X8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (qmltpeq @ X6 @ X7 @ Y3))))))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (fellow @ X6 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (man @ X6 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (young @ X6 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (fellow @ X7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (man @ X7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (young @ X7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (qmltpeq @ X6 @ Y0 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ Y0 @ X8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (qmltpeq @ X7 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ Y1 @ X1 @ Y2))))))))))))))))))))))))))))))))))))))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X4 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X2 @ sK3) = $false) | ((exists_in_world @ X6 @ sK3) = $false)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1078])).
% 66.87/8.85 thf(f1078,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X8 : mu,X6 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X4 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X7 @ sK3)) | ((exists_in_world @ X6 @ sK3) = $false) | ((exists_in_world @ X2 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | (((exists_in_world @ X8 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (seat @ X1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (furniture @ X1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (front @ X1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (hollywood @ X2 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (city @ X2 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (event @ X3 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (chevy @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (car @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (white @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (dirty @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (old @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (street @ X5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (way @ X5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (lonely @ X5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (barrel @ X3 @ X4 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (down @ X3 @ X5 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ X3 @ X2 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (seat @ X8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (furniture @ X8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (front @ X8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (qmltpeq @ X6 @ X7 @ Y3))))))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (fellow @ X6 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (man @ X6 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (young @ X6 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (fellow @ X7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (man @ X7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (young @ X7 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (qmltpeq @ X6 @ Y0 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ Y0 @ X8 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (qmltpeq @ X7 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ sK3 @ Y2)) | (in @ Y1 @ X1 @ Y2)))))))))))))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false)) ) | ~spl0_2),
% 66.87/8.85 inference(beta_eta_normalization,[],[f1077])).
% 66.87/8.85 thf(f1077,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X8 : mu,X6 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X6 @ sK3) = $false) | ((exists_in_world @ X2 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ($true = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (seat @ X1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (furniture @ X1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (front @ X1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (hollywood @ X2 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (city @ X2 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (event @ X3 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (chevy @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (car @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (white @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (dirty @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (old @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (street @ X5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (way @ X5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (lonely @ X5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (barrel @ X3 @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (down @ X3 @ X5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ X3 @ X2 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (seat @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (furniture @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (front @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (qmltpeq @ X6 @ X7 @ Y4))))))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (fellow @ X6 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (man @ X6 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (young @ X6 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (fellow @ X7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (man @ X7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (young @ X7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (qmltpeq @ X6 @ Y1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ Y1 @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (qmltpeq @ X7 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ Y2 @ X1 @ Y3))))))))))))))))))))))))))))))))))))))))))) @ X8)) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X3 @ sK3) = $false) | ($false = (exists_in_world @ X4 @ sK3))) ) | ~spl0_2),
% 66.87/8.85 inference(pi_clausification,[],[f1076])).
% 66.87/8.85 thf(f1076,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X6 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X3 @ sK3) = $false) | ((exists_in_world @ X2 @ sK3) = $false) | ($false = (exists_in_world @ X4 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X6 @ sK3) = $false) | ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (seat @ X1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (furniture @ X1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (front @ X1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (hollywood @ X2 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (city @ X2 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (event @ X3 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (chevy @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (car @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (white @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (dirty @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (old @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (street @ X5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (way @ X5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (lonely @ X5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (barrel @ X3 @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (down @ X3 @ X5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ X3 @ X2 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (seat @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (furniture @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (front @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (qmltpeq @ X6 @ X7 @ Y4))))))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (fellow @ X6 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (man @ X6 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (young @ X6 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (fellow @ X7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (man @ X7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (young @ X7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (qmltpeq @ X6 @ Y1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ Y1 @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (qmltpeq @ X7 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ Y2 @ X1 @ Y3)))))))))))))))))))))))))))))))))))))))))))) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1075])).
% 66.87/8.85 thf(f1075,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X6 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X2 @ sK3) = $false) | (((exists_in_world @ X7 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (seat @ X1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (furniture @ X1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (front @ X1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (hollywood @ X2 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (city @ X2 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (event @ X3 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (chevy @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (car @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (white @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (dirty @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (old @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (street @ X5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (way @ X5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (lonely @ X5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (barrel @ X3 @ X4 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (down @ X3 @ X5 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ X3 @ X2 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (seat @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (furniture @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (front @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (qmltpeq @ X6 @ X7 @ Y4))))))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (fellow @ X6 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (man @ X6 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (young @ X6 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (fellow @ X7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (man @ X7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (young @ X7 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (qmltpeq @ X6 @ Y1 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ Y1 @ Y0 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (qmltpeq @ X7 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ sK3 @ Y3)) | (in @ Y2 @ X1 @ Y3))))))))))))))))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X6 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X3 @ sK3) = $false) | ($false = (exists_in_world @ X4 @ sK3))) ) | ~spl0_2),
% 66.87/8.85 inference(beta_eta_normalization,[],[f1074])).
% 66.87/8.85 thf(f1074,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X6 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X4 @ sK3)) | ($true = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (seat @ X1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (furniture @ X1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (front @ X1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (hollywood @ X2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (city @ X2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (event @ X3 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (chevy @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (car @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (white @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (dirty @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (old @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (street @ X5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (way @ X5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (lonely @ X5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (barrel @ X3 @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (down @ X3 @ X5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ X3 @ X2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (seat @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (furniture @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (front @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (qmltpeq @ X6 @ Y0 @ Y5))))))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (fellow @ X6 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (man @ X6 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (young @ X6 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (fellow @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (man @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (young @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (qmltpeq @ X6 @ Y2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ Y2 @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (qmltpeq @ Y0 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ Y3 @ X1 @ Y4)))))))))))))))))))))))))))))))))))))))))))))) @ X7)) | ((exists_in_world @ X3 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X2 @ sK3) = $false) | ((exists_in_world @ X6 @ sK3) = $false)) ) | ~spl0_2),
% 66.87/8.85 inference(pi_clausification,[],[f1073])).
% 66.87/8.85 thf(f1073,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X6 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X5 @ sK3)) | ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (seat @ X1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (furniture @ X1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (front @ X1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (hollywood @ X2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (city @ X2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (event @ X3 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (chevy @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (car @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (white @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (dirty @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (old @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (street @ X5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (way @ X5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (lonely @ X5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (barrel @ X3 @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (down @ X3 @ X5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ X3 @ X2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (seat @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (furniture @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (front @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (qmltpeq @ X6 @ Y0 @ Y5))))))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (fellow @ X6 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (man @ X6 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (young @ X6 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (fellow @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (man @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (young @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (qmltpeq @ X6 @ Y2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ Y2 @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (qmltpeq @ Y0 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ Y3 @ X1 @ Y4))))))))))))))))))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X6 @ sK3) = $false) | ($false = (exists_in_world @ X4 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X2 @ sK3) = $false) | ((exists_in_world @ X3 @ sK3) = $false)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1072])).
% 66.87/8.85 thf(f1072,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X6 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X4 @ sK3)) | ($true = ((exists_in_world @ X6 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (seat @ X1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (furniture @ X1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (front @ X1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (hollywood @ X2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (city @ X2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (event @ X3 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (chevy @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (car @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (white @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (dirty @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (old @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (street @ X5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (way @ X5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (lonely @ X5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (barrel @ X3 @ X4 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (down @ X3 @ X5 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ X3 @ X2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (seat @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (furniture @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (front @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (qmltpeq @ X6 @ Y0 @ Y5))))))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (fellow @ X6 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (man @ X6 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (young @ X6 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (fellow @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (man @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (young @ Y0 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (qmltpeq @ X6 @ Y2 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ Y2 @ Y1 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (qmltpeq @ Y0 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ sK3 @ Y4)) | (in @ Y3 @ X1 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X2 @ sK3) = $false) | ((exists_in_world @ X3 @ sK3) = $false)) ) | ~spl0_2),
% 66.87/8.85 inference(beta_eta_normalization,[],[f1071])).
% 66.87/8.85 thf(f1071,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X6 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X1 @ sK3)) | (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (seat @ X1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (furniture @ X1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (front @ X1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (hollywood @ X2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (city @ X2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (event @ X3 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (chevy @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (car @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (white @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (dirty @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (old @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (street @ X5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (way @ X5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (lonely @ X5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (barrel @ X3 @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (down @ X3 @ X5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ X3 @ X2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (seat @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (furniture @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (front @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (qmltpeq @ Y0 @ Y1 @ Y6))))))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (fellow @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (man @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (young @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (fellow @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (man @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (young @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (qmltpeq @ Y0 @ Y3 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ Y3 @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (qmltpeq @ Y1 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ Y4 @ X1 @ Y5))))))))))))))))))))))))))))))))))))))))))))))))) @ X6) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ($false = (exists_in_world @ X4 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X2 @ sK3) = $false)) ) | ~spl0_2),
% 66.87/8.85 inference(pi_clausification,[],[f1070])).
% 66.87/8.85 thf(f1070,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X3 @ sK3) = $false) | ((exists_in_world @ X2 @ sK3) = $false) | ($true = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (seat @ X1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (furniture @ X1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (front @ X1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (hollywood @ X2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (city @ X2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (event @ X3 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (chevy @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (car @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (white @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (dirty @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (old @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (street @ X5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (way @ X5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (lonely @ X5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (barrel @ X3 @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (down @ X3 @ X5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ X3 @ X2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (seat @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (furniture @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (front @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (qmltpeq @ Y0 @ Y1 @ Y6))))))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (fellow @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (man @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (young @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (fellow @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (man @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (young @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (qmltpeq @ Y0 @ Y3 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ Y3 @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (qmltpeq @ Y1 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ Y4 @ X1 @ Y5))))))))))))))))))))))))))))))))))))))))))))))))))) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X4 @ sK3))) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1069])).
% 66.87/8.85 thf(f1069,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X2 @ sK3) = $false) | (((exists_in_world @ X5 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (seat @ X1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (furniture @ X1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (front @ X1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (hollywood @ X2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (city @ X2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (event @ X3 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (chevy @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (car @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (white @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (dirty @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (old @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (street @ X5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (way @ X5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (lonely @ X5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (barrel @ X3 @ X4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (down @ X3 @ X5 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ X3 @ X2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (seat @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (furniture @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (front @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (qmltpeq @ Y0 @ Y1 @ Y6))))))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (fellow @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (man @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (young @ Y0 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (fellow @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (man @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (young @ Y1 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (qmltpeq @ Y0 @ Y3 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ Y3 @ Y2 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (qmltpeq @ Y1 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ sK3 @ Y5)) | (in @ Y4 @ X1 @ Y5))))))))))))))))))))))))))))))))))))))))))))))))))) = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X4 @ sK3)) | ((exists_in_world @ X3 @ sK3) = $false)) ) | ~spl0_2),
% 66.87/8.85 inference(beta_eta_normalization,[],[f1068])).
% 66.87/8.85 thf(f1068,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X2 @ sK3) = $false) | (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (seat @ X1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (furniture @ X1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (front @ X1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (hollywood @ X2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (city @ X2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (event @ X3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (chevy @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (car @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (white @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (dirty @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (old @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (street @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (way @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (lonely @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (barrel @ X3 @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (down @ X3 @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ X3 @ X2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (seat @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (furniture @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (front @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (qmltpeq @ Y1 @ Y2 @ Y7))))))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (fellow @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (man @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (young @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (fellow @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (man @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (young @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (qmltpeq @ Y1 @ Y4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ Y4 @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (qmltpeq @ Y2 @ Y5 @ Y6))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ Y5 @ X1 @ Y6)))))))))))))))))))))))))))))))))))))))))))))))))))) @ X5) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ($false = (exists_in_world @ X4 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3))) ) | ~spl0_2),
% 66.87/8.85 inference(pi_clausification,[],[f1067])).
% 66.87/8.85 thf(f1067,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X4 : mu] : (((exists_in_world @ X2 @ sK3) = $false) | ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (seat @ X1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (furniture @ X1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (front @ X1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (hollywood @ X2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (city @ X2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (event @ X3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (chevy @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (car @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (white @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (dirty @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (old @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (street @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (way @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (lonely @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (barrel @ X3 @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (down @ X3 @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ X3 @ X2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (seat @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (furniture @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (front @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (qmltpeq @ Y1 @ Y2 @ Y7))))))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (fellow @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (man @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (young @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (fellow @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (man @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (young @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (qmltpeq @ Y1 @ Y4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ Y4 @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (qmltpeq @ Y2 @ Y5 @ Y6))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ Y5 @ X1 @ Y6))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X3 @ sK3) = $false) | ($false = (exists_in_world @ X4 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3))) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1066])).
% 66.87/8.85 thf(f1066,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X4 : mu] : ((((exists_in_world @ X4 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (seat @ X1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (furniture @ X1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (front @ X1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (hollywood @ X2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (city @ X2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (event @ X3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (chevy @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (car @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (white @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (dirty @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (old @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (street @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (way @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (lonely @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (barrel @ X3 @ X4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (down @ X3 @ Y0 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ X3 @ X2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (seat @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (furniture @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (front @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (qmltpeq @ Y1 @ Y2 @ Y7))))))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (fellow @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (man @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (young @ Y1 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (fellow @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (man @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (young @ Y2 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (qmltpeq @ Y1 @ Y4 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ Y4 @ Y3 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (qmltpeq @ Y2 @ Y5 @ Y6))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ sK3 @ Y6)) | (in @ Y5 @ X1 @ Y6)))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X3 @ sK3) = $false)) ) | ~spl0_2),
% 66.87/8.85 inference(beta_eta_normalization,[],[f1065])).
% 66.87/8.85 thf(f1065,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu,X4 : mu] : ((((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (seat @ X1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (furniture @ X1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (front @ X1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (hollywood @ X2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (city @ X2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (event @ X3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (chevy @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (car @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (white @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (dirty @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (old @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (street @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (way @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (lonely @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (barrel @ X3 @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (down @ X3 @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ X3 @ X2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (seat @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (furniture @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (front @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (qmltpeq @ Y2 @ Y3 @ Y8))))))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (fellow @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (man @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (young @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (fellow @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (man @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (young @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (qmltpeq @ Y2 @ Y5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ Y5 @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (qmltpeq @ Y3 @ Y6 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ Y6 @ X1 @ Y7))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ X4) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((exists_in_world @ X3 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3))) ) | ~spl0_2),
% 66.87/8.85 inference(pi_clausification,[],[f1064])).
% 66.87/8.85 thf(f1064,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu] : (($false = (exists_in_world @ X1 @ sK3)) | ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (seat @ X1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (furniture @ X1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (front @ X1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (hollywood @ X2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (city @ X2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (event @ X3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (chevy @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (car @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (white @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (dirty @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (old @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (street @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (way @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (lonely @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (barrel @ X3 @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (down @ X3 @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ X3 @ X2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (seat @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (furniture @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (front @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (qmltpeq @ Y2 @ Y3 @ Y8))))))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (fellow @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (man @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (young @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (fellow @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (man @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (young @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (qmltpeq @ Y2 @ Y5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ Y5 @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (qmltpeq @ Y3 @ Y6 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ Y6 @ X1 @ Y7)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X2 @ sK3) = $false) | ((exists_in_world @ X3 @ sK3) = $false)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1063])).
% 66.87/8.85 thf(f1063,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu] : (((exists_in_world @ X2 @ sK3) = $false) | ($true = ((exists_in_world @ X3 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (seat @ X1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (furniture @ X1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (front @ X1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (hollywood @ X2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (city @ X2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (event @ X3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (chevy @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (car @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (white @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (dirty @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (old @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (street @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (way @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (lonely @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (barrel @ X3 @ Y0 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (down @ X3 @ Y1 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ X3 @ X2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (seat @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (furniture @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (front @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (qmltpeq @ Y2 @ Y3 @ Y8))))))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (fellow @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (man @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (young @ Y2 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (fellow @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (man @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (young @ Y3 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (qmltpeq @ Y2 @ Y5 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ Y5 @ Y4 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (qmltpeq @ Y3 @ Y6 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ sK3 @ Y7)) | (in @ Y6 @ X1 @ Y7)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ($false = (exists_in_world @ X1 @ sK3))) ) | ~spl0_2),
% 66.87/8.85 inference(beta_eta_normalization,[],[f1062])).
% 66.87/8.85 thf(f1062,plain,(
% 66.87/8.85 ( ! [X2 : mu,X3 : mu,X1 : mu] : (((exists_in_world @ X2 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (seat @ X1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (furniture @ X1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (front @ X1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (hollywood @ X2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (city @ X2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (event @ Y0 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (chevy @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (car @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (white @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (dirty @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (old @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (street @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (way @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (lonely @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (barrel @ Y0 @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (down @ Y0 @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y0 @ X2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (seat @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (furniture @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (front @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ Y8 @ Y9)) | (qmltpeq @ Y3 @ Y4 @ Y9))))))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (fellow @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (man @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (young @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (fellow @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (man @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (young @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (qmltpeq @ Y3 @ Y6 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y6 @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (qmltpeq @ Y4 @ Y7 @ Y8))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y7 @ X1 @ Y8)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ X3) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(pi_clausification,[],[f1061])).
% 66.87/8.85 thf(f1061,plain,(
% 66.87/8.85 ( ! [X2 : mu,X1 : mu] : (((exists_in_world @ X2 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (seat @ X1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (furniture @ X1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (front @ X1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (hollywood @ X2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (city @ X2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (event @ Y0 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (chevy @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (car @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (white @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (dirty @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (old @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (street @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (way @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (lonely @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (barrel @ Y0 @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (down @ Y0 @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y0 @ X2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (seat @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (furniture @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (front @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ Y8 @ Y9)) | (qmltpeq @ Y3 @ Y4 @ Y9))))))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (fellow @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (man @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (young @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (fellow @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (man @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (young @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (qmltpeq @ Y3 @ Y6 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y6 @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (qmltpeq @ Y4 @ Y7 @ Y8))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y7 @ X1 @ Y8))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1060])).
% 66.87/8.85 thf(f1060,plain,(
% 66.87/8.85 ( ! [X2 : mu,X1 : mu] : (($true = ((exists_in_world @ X2 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (seat @ X1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (furniture @ X1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (front @ X1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (hollywood @ X2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (city @ X2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (event @ Y0 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (chevy @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (car @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (white @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (dirty @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (old @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (street @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (way @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (lonely @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (barrel @ Y0 @ Y1 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (down @ Y0 @ Y2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y0 @ X2 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (seat @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (furniture @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (front @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ Y8 @ Y9)) | (qmltpeq @ Y3 @ Y4 @ Y9))))))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (fellow @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (man @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (young @ Y3 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (fellow @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (man @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (young @ Y4 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (qmltpeq @ Y3 @ Y6 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y6 @ Y5 @ Y8))))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (qmltpeq @ Y4 @ Y7 @ Y8))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ sK3 @ Y8)) | (in @ Y7 @ X1 @ Y8))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ($false = (exists_in_world @ X1 @ sK3))) ) | ~spl0_2),
% 66.87/8.85 inference(beta_eta_normalization,[],[f1059])).
% 66.87/8.85 thf(f1059,plain,(
% 66.87/8.85 ( ! [X2 : mu,X1 : mu] : (($false = (exists_in_world @ X1 @ sK3)) | (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK3) => ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (seat @ X1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (furniture @ X1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (front @ X1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (hollywood @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (city @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (event @ Y1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (chevy @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (car @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (white @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (dirty @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (old @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (street @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (way @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (lonely @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (barrel @ Y1 @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (down @ Y1 @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y1 @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (seat @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (furniture @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (front @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ Y9 @ Y10)) | (qmltpeq @ Y4 @ Y5 @ Y10))))))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (fellow @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (man @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (young @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (fellow @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (man @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (young @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (qmltpeq @ Y4 @ Y7 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y7 @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (qmltpeq @ Y5 @ Y8 @ Y9))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y8 @ X1 @ Y9))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ X2) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(pi_clausification,[],[f1058])).
% 66.87/8.85 thf(f1058,plain,(
% 66.87/8.85 ( ! [X1 : mu] : (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK3) => ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (seat @ X1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (furniture @ X1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (front @ X1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (hollywood @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (city @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (event @ Y1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (chevy @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (car @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (white @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (dirty @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (old @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (street @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (way @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (lonely @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (barrel @ Y1 @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (down @ Y1 @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y1 @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (seat @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (furniture @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (front @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ Y9 @ Y10)) | (qmltpeq @ Y4 @ Y5 @ Y10))))))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (fellow @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (man @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (young @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (fellow @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (man @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (young @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (qmltpeq @ Y4 @ Y7 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y7 @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (qmltpeq @ Y5 @ Y8 @ Y9))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y8 @ X1 @ Y9)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true) | ($false = (exists_in_world @ X1 @ sK3))) ) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f1057])).
% 66.87/8.85 thf(f1057,plain,(
% 66.87/8.85 ( ! [X1 : mu] : ((((exists_in_world @ X1 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK3) => ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (seat @ X1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (furniture @ X1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (front @ X1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (hollywood @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (city @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (event @ Y1 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (chevy @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (car @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (white @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (dirty @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (old @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (street @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (way @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (lonely @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (barrel @ Y1 @ Y2 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (down @ Y1 @ Y3 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y1 @ Y0 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (seat @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (furniture @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (front @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ Y9 @ Y10)) | (qmltpeq @ Y4 @ Y5 @ Y10))))))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (fellow @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (man @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (young @ Y4 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (fellow @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (man @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (young @ Y5 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (qmltpeq @ Y4 @ Y7 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y7 @ Y6 @ Y9))))) | ((~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (qmltpeq @ Y5 @ Y8 @ Y9))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (rel_s4 @ sK3 @ Y9)) | (in @ Y8 @ X1 @ Y9))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(beta_eta_normalization,[],[f1056])).
% 66.87/8.85 thf(f1056,plain,(
% 66.87/8.85 ( ! [X1 : mu] : ((((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK3) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ sK3) => ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (hollywood @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (city @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (event @ Y2 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (chevy @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (car @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (white @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (dirty @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (old @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (street @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (way @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (lonely @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (barrel @ Y2 @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (down @ Y2 @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y2 @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y10 @ Y11)) | (qmltpeq @ Y5 @ Y6 @ Y11))))))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y5 @ Y8 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y8 @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y6 @ Y9 @ Y10))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y9 @ Y0 @ Y10)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ X1) = $true)) ) | ~spl0_2),
% 66.87/8.85 inference(pi_clausification,[],[f1055])).
% 66.87/8.85 thf(f1055,plain,(
% 66.87/8.85 ($true = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK3) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ sK3) => ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (hollywood @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (city @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (event @ Y2 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (chevy @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (car @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (white @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (dirty @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (old @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (street @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (way @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (lonely @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (barrel @ Y2 @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (down @ Y2 @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y2 @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y10 @ Y11)) | (qmltpeq @ Y5 @ Y6 @ Y11))))))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y5 @ Y8 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y8 @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y6 @ Y9 @ Y10))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y9 @ Y0 @ Y10)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_2),
% 66.87/8.85 inference(not_proxy_clausification,[],[f445])).
% 66.87/8.85 thf(f445,plain,(
% 66.87/8.85 ($false = (~ (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK3) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ sK3) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ sK3) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ sK3) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ sK3) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ sK3) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ sK3) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ sK3) => ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y0 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (hollywood @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (city @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (event @ Y2 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (chevy @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (car @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (white @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (dirty @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (old @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (street @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (way @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (lonely @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (barrel @ Y2 @ Y3 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (down @ Y2 @ Y4 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y2 @ Y1 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (seat @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (furniture @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (front @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y10 @ Y11)) | (qmltpeq @ Y5 @ Y6 @ Y11))))))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y5 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (fellow @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (man @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (young @ Y6 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y5 @ Y8 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y8 @ Y7 @ Y10))))) | ((~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (qmltpeq @ Y6 @ Y9 @ Y10))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (rel_s4 @ sK3 @ Y10)) | (in @ Y9 @ Y0 @ Y10))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_2),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f443])).
% 66.87/8.85 thf(f436,plain,(
% 66.87/8.85 spl0_1 | spl0_2),
% 66.87/8.85 inference(avatar_split_clause,[],[f429,f434,f431])).
% 66.87/8.85 thf(f429,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK2 @ Y0)) | ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y1 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y8 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK2 @ Y0)) | ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y8 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y1 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(binary_proxy_clausification,[],[f428])).
% 66.87/8.85 thf(f428,plain,(
% 66.87/8.85 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK2 @ Y0)) | ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y1 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y8 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK2 @ Y0)) | ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y8 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y1 @ Y11)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(not_proxy_clausification,[],[f427])).
% 66.87/8.85 thf(f427,plain,(
% 66.87/8.85 ((~ ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK2 @ Y0)) | ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y1 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y8 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK2 @ Y0)) | ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y8 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y0) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y0) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y0) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y0) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y0) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y0) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y0) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y0) => ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y1 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (hollywood @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (city @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (event @ Y3 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (chevy @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (car @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (white @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (dirty @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (old @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (street @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (way @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (lonely @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (barrel @ Y3 @ Y4 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (down @ Y3 @ Y5 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y3 @ Y2 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (seat @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (furniture @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (front @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (qmltpeq @ Y6 @ Y7 @ Y12))))))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y6 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (fellow @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (man @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (young @ Y7 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y6 @ Y9 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y9 @ Y8 @ Y11))))) | ((~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (qmltpeq @ Y7 @ Y10 @ Y11))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (rel_s4 @ Y0 @ Y11)) | (in @ Y10 @ Y1 @ Y11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 66.87/8.85 inference(beta_eta_normalization,[],[f426])).
% 66.87/8.85 thf(f426,plain,(
% 66.87/8.85 (((^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK2) = $false)),
% 66.87/8.85 inference(sigma_clausification,[],[f425])).
% 66.87/8.85 thf(f425,plain,(
% 66.87/8.85 ($false = (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 66.87/8.85 inference(not_proxy_clausification,[],[f424])).
% 66.87/8.85 thf(f424,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f423])).
% 66.87/8.85 thf(f423,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f422])).
% 66.87/8.85 thf(f422,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f421])).
% 66.87/8.85 thf(f421,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f420])).
% 66.87/8.85 thf(f420,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f419])).
% 66.87/8.85 thf(f419,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f418])).
% 66.87/8.85 thf(f418,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f417])).
% 66.87/8.85 thf(f417,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f416])).
% 66.87/8.85 thf(f416,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f415])).
% 66.87/8.85 thf(f415,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f414])).
% 66.87/8.85 thf(f414,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f413])).
% 66.87/8.85 thf(f413,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f412])).
% 66.87/8.85 thf(f412,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f411])).
% 66.87/8.85 thf(f411,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f410])).
% 66.87/8.85 thf(f410,plain,(
% 66.87/8.85 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 66.87/8.85 inference(boolean_simplification,[],[f409])).
% 66.87/8.85 thf(f409,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f408])).
% 66.87/8.85 thf(f408,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f407])).
% 66.87/8.85 thf(f407,plain,(
% 66.87/8.85 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 66.87/8.85 inference(boolean_simplification,[],[f406])).
% 66.87/8.85 thf(f406,plain,(
% 66.87/8.85 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 66.87/8.85 inference(boolean_simplification,[],[f405])).
% 66.87/8.85 thf(f405,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f404])).
% 66.87/8.85 thf(f404,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f403])).
% 66.87/8.85 thf(f403,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f402])).
% 66.87/8.85 thf(f402,plain,(
% 66.87/8.85 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 66.87/8.85 inference(boolean_simplification,[],[f401])).
% 66.87/8.85 thf(f401,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f400])).
% 66.87/8.85 thf(f400,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f399])).
% 66.87/8.85 thf(f399,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f398])).
% 66.87/8.85 thf(f398,plain,(
% 66.87/8.85 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 66.87/8.85 inference(boolean_simplification,[],[f397])).
% 66.87/8.85 thf(f397,plain,(
% 66.87/8.85 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 66.87/8.85 inference(boolean_simplification,[],[f396])).
% 66.87/8.85 thf(f396,plain,(
% 66.87/8.85 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 66.87/8.85 inference(boolean_simplification,[],[f395])).
% 66.87/8.85 thf(f395,plain,(
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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 66.87/8.85 inference(boolean_simplification,[],[f394])).
% 66.87/8.85 thf(f394,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f393])).
% 66.87/8.85 thf(f393,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f392])).
% 66.87/8.85 thf(f392,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f391])).
% 66.87/8.85 thf(f391,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f390])).
% 66.87/8.85 thf(f390,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f389])).
% 66.87/8.85 thf(f389,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f388])).
% 66.87/8.85 thf(f388,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f387])).
% 66.87/8.85 thf(f387,plain,(
% 66.87/8.85 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 66.87/8.85 inference(boolean_simplification,[],[f386])).
% 66.87/8.85 thf(f386,plain,(
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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! 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@ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 66.87/8.85 inference(boolean_simplification,[],[f385])).
% 66.87/8.85 thf(f385,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f384])).
% 66.87/8.85 thf(f384,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f383])).
% 66.87/8.85 thf(f383,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f382])).
% 66.87/8.85 thf(f382,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f381])).
% 66.87/8.85 thf(f381,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f380])).
% 66.87/8.85 thf(f380,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f379])).
% 66.87/8.85 thf(f379,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f378])).
% 66.87/8.85 thf(f378,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f377])).
% 66.87/8.85 thf(f377,plain,(
% 66.87/8.85 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! 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@ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 66.87/8.85 inference(boolean_simplification,[],[f376])).
% 66.87/8.85 thf(f376,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f375])).
% 66.87/8.85 thf(f375,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f374])).
% 66.87/8.85 thf(f374,plain,(
% 66.87/8.85 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 66.87/8.85 inference(boolean_simplification,[],[f373])).
% 66.87/8.85 thf(f373,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f372])).
% 66.87/8.85 thf(f372,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f371])).
% 66.87/8.85 thf(f371,plain,(
% 66.87/8.85 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 66.87/8.85 inference(boolean_simplification,[],[f370])).
% 66.87/8.85 thf(f370,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f369])).
% 66.87/8.85 thf(f369,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f368])).
% 66.87/8.85 thf(f368,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f367])).
% 66.87/8.85 thf(f367,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f366])).
% 66.87/8.85 thf(f366,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f365])).
% 66.87/8.85 thf(f365,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f364])).
% 66.87/8.85 thf(f364,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f363])).
% 66.87/8.85 thf(f363,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f362])).
% 66.87/8.85 thf(f362,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f361])).
% 66.87/8.85 thf(f361,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f360])).
% 66.87/8.85 thf(f360,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f359])).
% 66.87/8.85 thf(f359,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f358])).
% 66.87/8.85 thf(f358,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f357])).
% 66.87/8.85 thf(f357,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f356])).
% 66.87/8.85 thf(f356,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f355])).
% 66.87/8.85 thf(f355,plain,(
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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 66.87/8.85 inference(boolean_simplification,[],[f354])).
% 66.87/8.85 thf(f354,plain,(
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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f353])).
% 66.87/8.85 thf(f353,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f352])).
% 66.87/8.85 thf(f352,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f351])).
% 66.87/8.85 thf(f351,plain,(
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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 66.87/8.85 inference(boolean_simplification,[],[f350])).
% 66.87/8.85 thf(f350,plain,(
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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f349])).
% 66.87/8.85 thf(f349,plain,(
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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f348])).
% 66.87/8.85 thf(f348,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f347])).
% 66.87/8.85 thf(f347,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f346])).
% 66.87/8.85 thf(f346,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f345])).
% 66.87/8.85 thf(f345,plain,(
% 66.87/8.85 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! 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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y9 @ Y12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y2 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (hollywood @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (city @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (event @ Y4 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (chevy @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (car @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (white @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (dirty @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (old @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (street @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (way @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (lonely @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (barrel @ Y4 @ Y5 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (down @ Y4 @ Y6 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y4 @ Y3 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (seat @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (furniture @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (front @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (~ (!! @ $i @ (^[Y13 : $i]: ((~ (rel_s4 @ Y12 @ Y13)) | (qmltpeq @ Y7 @ Y8 @ Y13))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y7 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (fellow @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (man @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (young @ Y8 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y7 @ Y10 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y10 @ Y9 @ Y12))))) | (~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (qmltpeq @ Y8 @ Y11 @ Y12))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y1 @ Y12)) | (in @ Y11 @ Y2 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(boolean_simplification,[],[f344])).
% 66.87/8.85 thf(f344,plain,(
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% 66.87/8.85 inference(beta_eta_normalization,[],[f279])).
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@ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (Y10 @ Y12))))))) @ (young @ Y6)) @ ((^[Y10 : $i > $o]: ((^[Y11 : $i > $o]: ((^[Y12 : $i > $o]: ((^[Y13 : $i]: (~ (Y12 @ Y13))))) @ ((^[Y12 : $i > $o]: ((^[Y13 : $i > $o]: ((^[Y14 : $i]: ((Y12 @ Y14) | (Y13 @ Y14))))))) @ ((^[Y12 : $i > $o]: ((^[Y13 : $i]: (~ (Y12 @ Y13))))) @ Y10) @ ((^[Y12 : $i > $o]: ((^[Y13 : $i]: (~ (Y12 @ Y13))))) @ Y11)))))) @ ((^[Y10 : $i > $o]: ((^[Y11 : $i]: (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (Y10 @ Y12))))))) @ (qmltpeq @ Y5 @ Y8)) @ ((^[Y10 : $i > $o]: ((^[Y11 : $i > $o]: ((^[Y12 : $i > $o]: ((^[Y13 : $i]: (~ (Y12 @ Y13))))) @ ((^[Y12 : $i > $o]: ((^[Y13 : $i > $o]: ((^[Y14 : $i]: ((Y12 @ Y14) | (Y13 @ Y14))))))) @ ((^[Y12 : $i > $o]: ((^[Y13 : $i]: (~ (Y12 @ Y13))))) @ Y10) @ ((^[Y12 : $i > $o]: ((^[Y13 : $i]: (~ (Y12 @ Y13))))) @ Y11)))))) @ ((^[Y10 : $i > $o]: ((^[Y11 : $i]: (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (Y10 @ Y12))))))) @ (in @ Y8 @ Y7)) @ ((^[Y10 : $i > $o]: ((^[Y11 : $i > $o]: ((^[Y12 : $i > $o]: ((^[Y13 : $i]: (~ (Y12 @ Y13))))) @ ((^[Y12 : $i > $o]: ((^[Y13 : $i > $o]: ((^[Y14 : $i]: ((Y12 @ Y14) | (Y13 @ Y14))))))) @ ((^[Y12 : $i > $o]: ((^[Y13 : $i]: (~ (Y12 @ Y13))))) @ Y10) @ ((^[Y12 : $i > $o]: ((^[Y13 : $i]: (~ (Y12 @ Y13))))) @ Y11)))))) @ ((^[Y10 : $i > $o]: ((^[Y11 : $i]: (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (Y10 @ Y12))))))) @ (qmltpeq @ Y6 @ Y9)) @ ((^[Y10 : $i > $o]: ((^[Y11 : $i]: (!! @ $i @ (^[Y12 : $i]: ((~ (rel_s4 @ Y11 @ Y12)) | (Y10 @ Y12))))))) @ (in @ Y9 @ Y0))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 66.87/8.85 inference(definition_unfolding,[],[f215,f244,f254,f221,f255,f260,f260,f260,f260,f260,f260,f260,f260,f260,f260,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f247,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f221,f260,f260,f260,f260,f260,f260,f260,f260,f260,f260,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f247,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f221,f221,f255,f260,f260,f260,f260,f260,f260,f260,f260,f260,f260,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f247,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f221,f260,f260,f260,f260,f260,f260,f260,f260,f260,f260,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f247,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f254,f221,f221])).
% 66.87/8.85 thf(f247,plain,(
% 66.87/8.85 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 66.87/8.85 inference(cnf_transformation,[],[f185])).
% 66.87/8.85 thf(f185,plain,(
% 66.87/8.85 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 66.87/8.85 inference(fool_elimination,[],[f184])).
% 66.87/8.85 thf(f184,plain,(
% 66.87/8.85 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 66.87/8.85 inference(rectify,[],[f2])).
% 66.87/8.85 thf(f2,axiom,(
% 66.87/8.85 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
% 66.87/8.85 file('/export/starexec/sandbox2/tmp/tmp.F9uYMae9ba/Vampire---4.8_3911',mnot)).
% 66.87/8.85 thf(f260,plain,(
% 66.87/8.85 (mexists_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))))),
% 66.87/8.85 inference(definition_unfolding,[],[f192,f247,f238,f247])).
% 66.87/8.85 thf(f238,plain,(
% 66.87/8.85 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 66.87/8.85 inference(cnf_transformation,[],[f71])).
% 66.87/8.85 thf(f71,plain,(
% 66.87/8.85 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 66.87/8.85 inference(fool_elimination,[],[f70])).
% 66.87/8.85 thf(f70,plain,(
% 66.87/8.85 (mforall_ind = (^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : ((exists_in_world @ X2 @ X1) => (X0 @ X2 @ X1)))))),
% 66.87/8.85 inference(rectify,[],[f15])).
% 66.87/8.85 thf(f15,axiom,(
% 66.87/8.85 (mforall_ind = (^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : ((exists_in_world @ X0 @ X2) => (X3 @ X0 @ X2)))))),
% 66.87/8.85 file('/export/starexec/sandbox2/tmp/tmp.F9uYMae9ba/Vampire---4.8_3911',mforall_ind)).
% 66.87/8.85 thf(f192,plain,(
% 66.87/8.85 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 66.87/8.85 inference(cnf_transformation,[],[f91])).
% 66.87/8.85 thf(f91,plain,(
% 66.87/8.85 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 66.87/8.85 inference(fool_elimination,[],[f90])).
% 66.87/8.85 thf(f90,plain,(
% 66.87/8.85 ((^[X0 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X1 : mu] : (mnot @ (X0 @ X1)))))) = mexists_ind)),
% 66.87/8.85 inference(rectify,[],[f16])).
% 66.87/8.85 thf(f16,axiom,(
% 66.87/8.85 ((^[X3 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X0 : mu] : (mnot @ (X3 @ X0)))))) = mexists_ind)),
% 66.87/8.85 file('/export/starexec/sandbox2/tmp/tmp.F9uYMae9ba/Vampire---4.8_3911',mexists_ind)).
% 66.87/8.85 thf(f255,plain,(
% 66.87/8.85 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 66.87/8.85 inference(definition_unfolding,[],[f239,f227,f247])).
% 66.87/8.85 thf(f227,plain,(
% 66.87/8.85 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 66.87/8.85 inference(cnf_transformation,[],[f133])).
% 66.87/8.85 thf(f133,plain,(
% 66.87/8.85 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 66.87/8.85 inference(fool_elimination,[],[f132])).
% 66.87/8.85 thf(f132,plain,(
% 66.87/8.85 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 66.87/8.85 inference(rectify,[],[f3])).
% 66.87/8.85 thf(f3,axiom,(
% 66.87/8.85 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))))),
% 66.87/8.85 file('/export/starexec/sandbox2/tmp/tmp.F9uYMae9ba/Vampire---4.8_3911',mor)).
% 66.87/8.85 thf(f239,plain,(
% 66.87/8.85 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 66.87/8.85 inference(cnf_transformation,[],[f129])).
% 66.87/8.85 thf(f129,plain,(
% 66.87/8.85 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 66.87/8.85 inference(fool_elimination,[],[f128])).
% 66.87/8.85 thf(f128,plain,(
% 66.87/8.85 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 66.87/8.85 inference(rectify,[],[f9])).
% 66.87/8.85 thf(f9,axiom,(
% 66.87/8.85 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 66.87/8.85 file('/export/starexec/sandbox2/tmp/tmp.F9uYMae9ba/Vampire---4.8_3911',mimplies)).
% 66.87/8.85 thf(f221,plain,(
% 66.87/8.85 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))))),
% 66.87/8.85 inference(cnf_transformation,[],[f181])).
% 66.87/8.85 thf(f181,plain,(
% 66.87/8.85 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))))),
% 66.87/8.85 inference(fool_elimination,[],[f180])).
% 66.87/8.85 thf(f180,plain,(
% 66.87/8.85 (mbox_s4 = (^[X0 : $i > $o, X1 : $i] : (! [X2] : ((X0 @ X2) | ~(rel_s4 @ X1 @ X2)))))),
% 66.87/8.85 inference(rectify,[],[f32])).
% 66.87/8.85 thf(f32,axiom,(
% 66.87/8.85 (mbox_s4 = (^[X3 : $i > $o, X2 : $i] : (! [X6] : ((X3 @ X6) | ~(rel_s4 @ X2 @ X6)))))),
% 66.87/8.85 file('/export/starexec/sandbox2/tmp/tmp.F9uYMae9ba/Vampire---4.8_3911',mbox_s4)).
% 66.87/8.85 thf(f254,plain,(
% 66.87/8.85 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
% 66.87/8.85 inference(definition_unfolding,[],[f222,f247,f227,f247,f247])).
% 66.87/8.85 thf(f222,plain,(
% 66.87/8.85 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 66.87/8.85 inference(cnf_transformation,[],[f121])).
% 66.87/8.85 thf(f121,plain,(
% 66.87/8.85 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 66.87/8.85 inference(fool_elimination,[],[f120])).
% 66.87/8.85 thf(f120,plain,(
% 66.87/8.85 (mand = (^[X0 : $i > $o, X1 : $i > $o] : (mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))))),
% 66.87/8.85 inference(rectify,[],[f8])).
% 66.87/8.85 thf(f8,axiom,(
% 66.87/8.85 (mand = (^[X3 : $i > $o, X4 : $i > $o] : (mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))))),
% 66.87/8.85 file('/export/starexec/sandbox2/tmp/tmp.F9uYMae9ba/Vampire---4.8_3911',mand)).
% 66.87/8.85 thf(f244,plain,(
% 66.87/8.85 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 66.87/8.85 inference(cnf_transformation,[],[f73])).
% 66.87/8.85 thf(f73,plain,(
% 66.87/8.85 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 66.87/8.85 inference(fool_elimination,[],[f72])).
% 66.87/8.85 thf(f72,plain,(
% 66.87/8.85 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 66.87/8.85 inference(rectify,[],[f28])).
% 66.87/8.85 thf(f28,axiom,(
% 66.87/8.85 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
% 66.87/8.85 file('/export/starexec/sandbox2/tmp/tmp.F9uYMae9ba/Vampire---4.8_3911',mvalid)).
% 66.87/8.85 thf(f215,plain,(
% 66.87/8.85 ((~ (mvalid @ (mand @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[Y0 : mu]: (mexists_ind @ (^[Y1 : mu]: (mexists_ind @ (^[Y2 : mu]: (mexists_ind @ (^[Y3 : mu]: (mexists_ind @ (^[Y4 : mu]: (mexists_ind @ (^[Y5 : mu]: (mexists_ind @ (^[Y6 : mu]: (mexists_ind @ (^[Y7 : mu]: (mexists_ind @ (^[Y8 : mu]: (mexists_ind @ (^[Y9 : mu]: (mand @ (mbox_s4 @ (seat @ Y0)) @ (mand @ (mbox_s4 @ (furniture @ Y0)) @ (mand @ (mbox_s4 @ (front @ Y0)) @ (mand @ (mbox_s4 @ (hollywood @ Y1)) @ (mand @ (mbox_s4 @ (city @ Y1)) @ (mand @ (mbox_s4 @ (event @ Y2)) @ (mand @ (mbox_s4 @ (chevy @ Y3)) @ (mand @ (mbox_s4 @ (car @ Y3)) @ (mand @ (mbox_s4 @ (white @ Y3)) @ (mand @ (mbox_s4 @ (dirty @ Y3)) @ (mand @ (mbox_s4 @ (old @ Y3)) @ (mand @ (mbox_s4 @ (street @ Y4)) @ (mand @ (mbox_s4 @ (way @ Y4)) @ (mand @ (mbox_s4 @ (lonely @ Y4)) @ (mand @ (mbox_s4 @ (barrel @ Y2 @ Y3)) @ (mand @ (mbox_s4 @ (down @ Y2 @ Y4)) @ (mand @ (mbox_s4 @ (in @ Y2 @ Y1)) @ (mand @ (mbox_s4 @ (seat @ Y7)) @ (mand @ (mbox_s4 @ (furniture @ Y7)) @ (mand @ (mbox_s4 @ (front @ Y7)) @ (mand @ (mbox_s4 @ (mnot @ (mbox_s4 @ (qmltpeq @ Y5 @ Y6)))) @ (mand @ (mbox_s4 @ (fellow @ Y5)) @ (mand @ (mbox_s4 @ (man @ Y5)) @ (mand @ (mbox_s4 @ (young @ Y5)) @ (mand @ (mbox_s4 @ (fellow @ Y6)) @ (mand @ (mbox_s4 @ (man @ Y6)) @ (mand @ (mbox_s4 @ (young @ Y6)) @ (mand @ (mbox_s4 @ (qmltpeq @ Y5 @ Y8)) @ (mand @ (mbox_s4 @ (in @ Y8 @ Y7)) @ (mand @ (mbox_s4 @ (qmltpeq @ Y6 @ Y9)) @ (mbox_s4 @ (in @ Y9 @ Y0)))))))))))))))))))))))))))))))))))))))))))))))))))) @ (mexists_ind @ (^[Y0 : mu]: (mexists_ind @ (^[Y1 : mu]: (mexists_ind @ (^[Y2 : mu]: (mexists_ind @ (^[Y3 : mu]: (mexists_ind @ (^[Y4 : mu]: (mexists_ind @ (^[Y5 : mu]: (mexists_ind @ (^[Y6 : mu]: (mexists_ind @ (^[Y7 : mu]: (mexists_ind @ (^[Y8 : mu]: (mexists_ind @ (^[Y9 : mu]: (mand @ (mbox_s4 @ (seat @ Y0)) @ (mand @ (mbox_s4 @ (furniture @ Y0)) @ (mand @ (mbox_s4 @ (front @ Y0)) @ (mand @ (mbox_s4 @ (hollywood @ Y1)) @ (mand @ (mbox_s4 @ (city @ Y1)) @ (mand @ 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% 66.87/8.85 inference(cnf_transformation,[],[f131])).
% 66.87/8.85 thf(f131,plain,(
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% 66.87/8.85 inference(fool_elimination,[],[f130])).
% 66.87/8.85 thf(f130,plain,(
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(in @ X19 @ X17)))))))))))))))))))))))))))))))))))))))))))))))))))))) @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[X20 : mu] : (mexists_ind @ (^[X21 : mu] : (mexists_ind @ (^[X22 : mu] : (mexists_ind @ (^[X23 : mu] : (mexists_ind @ (^[X24 : mu] : (mexists_ind @ (^[X25 : mu] : (mexists_ind @ (^[X26 : mu] : (mexists_ind @ (^[X27 : mu] : (mexists_ind @ (^[X28 : mu] : (mexists_ind @ (^[X29 : mu] : (mand @ (mbox_s4 @ (seat @ X20)) @ (mand @ (mbox_s4 @ (furniture @ X20)) @ (mand @ (mbox_s4 @ (front @ X20)) @ (mand @ (mbox_s4 @ (hollywood @ X21)) @ (mand @ (mbox_s4 @ (city @ X21)) @ (mand @ (mbox_s4 @ (event @ X22)) @ (mand @ (mbox_s4 @ (chevy @ X23)) @ (mand @ (mbox_s4 @ (car @ X23)) @ (mand @ (mbox_s4 @ (white @ X23)) @ (mand @ (mbox_s4 @ (dirty @ X23)) @ (mand @ (mbox_s4 @ (old @ X23)) @ (mand @ (mbox_s4 @ (street @ X24)) @ (mand @ (mbox_s4 @ (way @ X24)) @ (mand @ (mbox_s4 @ (lonely @ X24)) @ (mand @ (mbox_s4 @ (barrel @ X22 @ X23)) @ (mand @ (mbox_s4 @ (down @ X22 @ X24)) @ (mand @ (mbox_s4 @ (in @ X22 @ X21)) @ (mand @ (mbox_s4 @ (seat @ X27)) @ (mand @ (mbox_s4 @ (furniture @ X27)) @ (mand @ (mbox_s4 @ (front @ X27)) @ (mand @ (mbox_s4 @ (mnot @ (mbox_s4 @ (qmltpeq @ X25 @ X26)))) @ (mand @ (mbox_s4 @ (fellow @ X25)) @ (mand @ (mbox_s4 @ (man @ X25)) @ (mand @ (mbox_s4 @ (young @ X25)) @ (mand @ (mbox_s4 @ (fellow @ X26)) @ (mand @ (mbox_s4 @ (man @ X26)) @ (mand @ (mbox_s4 @ (young @ X26)) @ (mand @ (mbox_s4 @ (qmltpeq @ X25 @ X28)) @ (mand @ (mbox_s4 @ (in @ X28 @ X20)) @ (mand @ (mbox_s4 @ (qmltpeq @ X26 @ X29)) @ (mbox_s4 @ (in @ X29 @ X27)))))))))))))))))))))))))))))))))))))))))))))))))))) @ (mexists_ind @ (^[X30 : mu] : (mexists_ind @ (^[X31 : mu] : (mexists_ind @ (^[X32 : mu] : (mexists_ind @ (^[X33 : mu] : (mexists_ind @ (^[X34 : mu] : (mexists_ind @ (^[X35 : mu] : (mexists_ind @ (^[X36 : mu] : (mexists_ind @ (^[X37 : mu] : (mexists_ind @ (^[X38 : mu] : (mexists_ind @ (^[X39 : mu] : (mand @ (mbox_s4 @ (seat @ X30)) @ (mand @ (mbox_s4 @ (furniture @ X30)) @ (mand @ (mbox_s4 @ (front @ X30)) @ (mand @ (mbox_s4 @ (hollywood @ X31)) @ (mand @ (mbox_s4 @ (city @ X31)) @ (mand @ (mbox_s4 @ (event @ X32)) @ (mand @ (mbox_s4 @ (chevy @ X33)) @ (mand @ (mbox_s4 @ (car @ X33)) @ (mand @ (mbox_s4 @ (white @ X33)) @ (mand @ (mbox_s4 @ (dirty @ X33)) @ (mand @ (mbox_s4 @ (old @ X33)) @ (mand @ (mbox_s4 @ (street @ X34)) @ (mand @ (mbox_s4 @ (way @ X34)) @ (mand @ (mbox_s4 @ (lonely @ X34)) @ (mand @ (mbox_s4 @ (barrel @ X32 @ X33)) @ (mand @ (mbox_s4 @ (down @ X32 @ X34)) @ (mand @ (mbox_s4 @ (in @ X32 @ X31)) @ (mand @ (mbox_s4 @ (seat @ X37)) @ (mand @ (mbox_s4 @ (furniture @ X37)) @ (mand @ (mbox_s4 @ (front @ X37)) @ (mand @ (mbox_s4 @ (mnot @ (mbox_s4 @ (qmltpeq @ X35 @ X36)))) @ (mand @ (mbox_s4 @ (fellow @ X35)) @ (mand @ (mbox_s4 @ (man @ X35)) @ (mand @ (mbox_s4 @ (young @ X35)) @ (mand @ (mbox_s4 @ (fellow @ X36)) @ (mand @ (mbox_s4 @ (man @ X36)) @ (mand @ (mbox_s4 @ (young @ X36)) @ (mand @ (mbox_s4 @ (qmltpeq @ X35 @ X38)) @ (mand @ (mbox_s4 @ (in @ X38 @ X37)) @ (mand @ (mbox_s4 @ (qmltpeq @ X36 @ X39)) @ (mbox_s4 @ (in @ X39 @ X30))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 66.87/8.85 inference(rectify,[],[f64])).
% 66.87/8.85 thf(f64,negated_conjecture,(
% 66.87/8.85 ~(mvalid @ (mand @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[X10 : mu] : (mexists_ind @ (^[X6 : mu] : (mexists_ind @ (^[X2 : mu] : (mexists_ind @ (^[X0 : mu] : (mexists_ind @ (^[X1 : mu] : (mexists_ind @ (^[X11 : mu] : (mexists_ind @ (^[X15 : mu] : (mexists_ind @ (^[X16 : mu] : (mexists_ind @ (^[X17 : mu] : (mexists_ind @ (^[X18 : mu] : (mand @ (mbox_s4 @ (seat @ X10)) @ (mand @ (mbox_s4 @ (furniture @ X10)) @ (mand @ (mbox_s4 @ (front @ X10)) @ (mand @ (mbox_s4 @ (hollywood @ X6)) @ (mand @ (mbox_s4 @ (city @ X6)) @ (mand @ (mbox_s4 @ (event @ X2)) @ (mand @ (mbox_s4 @ (chevy @ X0)) @ (mand @ (mbox_s4 @ (car @ X0)) @ (mand @ (mbox_s4 @ (white @ X0)) @ (mand @ (mbox_s4 @ (dirty @ X0)) @ (mand @ (mbox_s4 @ (old @ X0)) @ (mand @ (mbox_s4 @ (street @ X1)) @ (mand @ (mbox_s4 @ (way @ X1)) @ (mand @ (mbox_s4 @ (lonely @ X1)) @ (mand @ (mbox_s4 @ (barrel @ X2 @ X0)) @ (mand @ (mbox_s4 @ (down @ X2 @ X1)) @ (mand @ (mbox_s4 @ (in @ X2 @ X6)) @ (mand @ (mbox_s4 @ (seat @ X16)) @ (mand @ (mbox_s4 @ (furniture @ X16)) @ (mand @ (mbox_s4 @ (front @ X16)) @ (mand @ (mbox_s4 @ (mnot @ (mbox_s4 @ (qmltpeq @ X11 @ X15)))) @ (mand @ (mbox_s4 @ (fellow @ X11)) @ (mand @ (mbox_s4 @ (man @ X11)) @ (mand @ (mbox_s4 @ (young @ X11)) @ (mand @ (mbox_s4 @ (fellow @ X15)) @ (mand @ (mbox_s4 @ (man @ X15)) @ (mand @ (mbox_s4 @ (young @ X15)) @ (mand @ (mbox_s4 @ (qmltpeq @ X11 @ X17)) @ (mand @ (mbox_s4 @ (in @ X17 @ X16)) @ (mand @ (mbox_s4 @ (qmltpeq @ X15 @ X18)) @ (mbox_s4 @ (in @ X18 @ X10)))))))))))))))))))))))))))))))))))))))))))))))))))) @ (mexists_ind @ (^[X19 : mu] : (mexists_ind @ (^[X20 : mu] : (mexists_ind @ (^[X21 : mu] : (mexists_ind @ (^[X22 : mu] : (mexists_ind @ (^[X23 : mu] : (mexists_ind @ (^[X24 : mu] : (mexists_ind @ (^[X25 : mu] : (mexists_ind @ (^[X26 : mu] : (mexists_ind @ (^[X27 : mu] : (mexists_ind @ (^[X28 : mu] : (mand @ (mbox_s4 @ (seat @ X19)) @ (mand @ (mbox_s4 @ (furniture @ X19)) @ (mand @ (mbox_s4 @ (front @ X19)) @ (mand @ (mbox_s4 @ (hollywood @ X20)) @ (mand @ (mbox_s4 @ (city @ X20)) @ (mand @ (mbox_s4 @ (event @ X21)) @ (mand @ (mbox_s4 @ (chevy @ X22)) @ (mand @ (mbox_s4 @ (car @ X22)) @ (mand @ (mbox_s4 @ (white @ X22)) @ (mand @ (mbox_s4 @ (dirty @ X22)) @ (mand @ (mbox_s4 @ (old @ X22)) @ (mand @ (mbox_s4 @ (street @ X23)) @ (mand @ (mbox_s4 @ (way @ X23)) @ (mand @ (mbox_s4 @ (lonely @ X23)) @ (mand @ (mbox_s4 @ (barrel @ X21 @ X22)) @ (mand @ (mbox_s4 @ (down @ X21 @ X23)) @ (mand @ (mbox_s4 @ (in @ X21 @ X20)) @ (mand @ (mbox_s4 @ (seat @ X26)) @ (mand @ (mbox_s4 @ (furniture @ X26)) @ (mand @ (mbox_s4 @ (front @ X26)) @ (mand @ (mbox_s4 @ (mnot @ (mbox_s4 @ (qmltpeq @ X24 @ X25)))) @ (mand @ (mbox_s4 @ (fellow @ X24)) @ (mand @ (mbox_s4 @ (man @ X24)) @ (mand @ (mbox_s4 @ (young @ X24)) @ (mand @ (mbox_s4 @ (fellow @ X25)) @ (mand @ (mbox_s4 @ (man @ X25)) @ (mand @ (mbox_s4 @ (young @ X25)) @ (mand @ (mbox_s4 @ (qmltpeq @ X24 @ X27)) @ (mand @ (mbox_s4 @ (in @ X27 @ X19)) @ (mand @ (mbox_s4 @ (qmltpeq @ X25 @ X28)) @ (mbox_s4 @ (in @ X28 @ X26)))))))))))))))))))))))))))))))))))))))))))))))))))))) @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[X29 : mu] : (mexists_ind @ (^[X30 : mu] : (mexists_ind @ (^[X31 : mu] : (mexists_ind @ (^[X32 : mu] : (mexists_ind @ (^[X33 : mu] : (mexists_ind @ (^[X34 : mu] : (mexists_ind @ (^[X35 : mu] : (mexists_ind @ (^[X36 : mu] : (mexists_ind @ (^[X37 : mu] : (mexists_ind @ (^[X38 : mu] : (mand @ (mbox_s4 @ (seat @ X29)) @ (mand @ (mbox_s4 @ (furniture @ X29)) @ (mand @ (mbox_s4 @ (front @ X29)) @ (mand @ (mbox_s4 @ (hollywood @ X30)) @ (mand @ (mbox_s4 @ (city @ X30)) @ (mand @ (mbox_s4 @ (event @ X31)) @ (mand @ (mbox_s4 @ (chevy @ X32)) @ (mand @ (mbox_s4 @ (car @ X32)) @ (mand @ (mbox_s4 @ (white @ X32)) @ (mand @ (mbox_s4 @ (dirty @ X32)) @ (mand @ (mbox_s4 @ (old @ X32)) @ (mand @ (mbox_s4 @ (street @ X33)) @ (mand @ (mbox_s4 @ (way @ X33)) @ (mand @ (mbox_s4 @ (lonely @ X33)) @ (mand @ (mbox_s4 @ (barrel @ X31 @ X32)) @ (mand @ (mbox_s4 @ (down @ X31 @ X33)) @ (mand @ (mbox_s4 @ (in @ X31 @ X30)) @ (mand @ (mbox_s4 @ (seat @ X36)) @ (mand @ (mbox_s4 @ (furniture @ X36)) @ (mand @ (mbox_s4 @ (front @ X36)) @ (mand @ (mbox_s4 @ (mnot @ (mbox_s4 @ (qmltpeq @ X34 @ X35)))) @ (mand @ (mbox_s4 @ (fellow @ X34)) @ (mand @ (mbox_s4 @ (man @ X34)) @ (mand @ (mbox_s4 @ (young @ X34)) @ (mand @ (mbox_s4 @ (fellow @ X35)) @ (mand @ (mbox_s4 @ (man @ X35)) @ (mand @ (mbox_s4 @ (young @ X35)) @ (mand @ (mbox_s4 @ (qmltpeq @ X34 @ X37)) @ (mand @ (mbox_s4 @ (in @ X37 @ X29)) @ (mand @ (mbox_s4 @ (qmltpeq @ X35 @ X38)) @ (mbox_s4 @ (in @ X38 @ X36)))))))))))))))))))))))))))))))))))))))))))))))))))) @ (mexists_ind @ (^[X39 : mu] : (mexists_ind @ (^[X40 : mu] : (mexists_ind @ (^[X41 : mu] : (mexists_ind @ (^[X42 : mu] : (mexists_ind @ (^[X43 : mu] : (mexists_ind @ (^[X44 : mu] : (mexists_ind @ (^[X45 : mu] : (mexists_ind @ (^[X46 : mu] : (mexists_ind @ (^[X47 : mu] : (mexists_ind @ (^[X48 : mu] : (mand @ (mbox_s4 @ (seat @ X39)) @ (mand @ (mbox_s4 @ (furniture @ X39)) @ (mand @ (mbox_s4 @ (front @ X39)) @ (mand @ (mbox_s4 @ (hollywood @ X40)) @ (mand @ (mbox_s4 @ (city @ X40)) @ (mand @ (mbox_s4 @ (event @ X41)) @ (mand @ (mbox_s4 @ (chevy @ X42)) @ (mand @ (mbox_s4 @ (car @ X42)) @ (mand @ (mbox_s4 @ (white @ X42)) @ (mand @ (mbox_s4 @ (dirty @ X42)) @ (mand @ (mbox_s4 @ (old @ X42)) @ (mand @ (mbox_s4 @ (street @ X43)) @ (mand @ (mbox_s4 @ (way @ X43)) @ (mand @ (mbox_s4 @ (lonely @ X43)) @ (mand @ (mbox_s4 @ (barrel @ X41 @ X42)) @ (mand @ (mbox_s4 @ (down @ X41 @ X43)) @ (mand @ (mbox_s4 @ (in @ X41 @ X40)) @ (mand @ (mbox_s4 @ (seat @ X46)) @ (mand @ (mbox_s4 @ (furniture @ X46)) @ (mand @ (mbox_s4 @ (front @ X46)) @ (mand @ (mbox_s4 @ (mnot @ (mbox_s4 @ (qmltpeq @ X44 @ X45)))) @ (mand @ (mbox_s4 @ (fellow @ X44)) @ (mand @ (mbox_s4 @ (man @ X44)) @ (mand @ (mbox_s4 @ (young @ X44)) @ (mand @ (mbox_s4 @ (fellow @ X45)) @ (mand @ (mbox_s4 @ (man @ X45)) @ (mand @ (mbox_s4 @ (young @ X45)) @ (mand @ (mbox_s4 @ (qmltpeq @ X44 @ X47)) @ (mand @ (mbox_s4 @ (in @ X47 @ X46)) @ (mand @ (mbox_s4 @ (qmltpeq @ X45 @ X48)) @ (mbox_s4 @ (in @ X48 @ X39))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 66.87/8.85 inference(negated_conjecture,[],[f63])).
% 66.87/8.85 thf(f63,conjecture,(
% 66.87/8.85 (mvalid @ (mand @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[X10 : mu] : (mexists_ind @ (^[X6 : mu] : (mexists_ind @ (^[X2 : mu] : (mexists_ind @ (^[X0 : mu] : (mexists_ind @ (^[X1 : mu] : (mexists_ind @ (^[X11 : mu] : (mexists_ind @ (^[X15 : mu] : (mexists_ind @ (^[X16 : mu] : (mexists_ind @ (^[X17 : mu] : (mexists_ind @ (^[X18 : mu] : (mand @ (mbox_s4 @ (seat @ X10)) @ (mand @ (mbox_s4 @ (furniture @ X10)) @ (mand @ (mbox_s4 @ (front @ X10)) @ (mand @ (mbox_s4 @ (hollywood @ X6)) @ (mand @ (mbox_s4 @ (city @ X6)) @ (mand @ (mbox_s4 @ (event @ X2)) @ (mand @ (mbox_s4 @ (chevy @ X0)) @ (mand @ (mbox_s4 @ (car @ X0)) @ (mand @ (mbox_s4 @ (white @ X0)) @ (mand @ (mbox_s4 @ (dirty @ X0)) @ (mand @ (mbox_s4 @ (old @ X0)) @ (mand @ (mbox_s4 @ (street @ X1)) @ (mand @ (mbox_s4 @ (way @ X1)) @ (mand @ (mbox_s4 @ (lonely @ X1)) @ (mand @ (mbox_s4 @ (barrel @ X2 @ X0)) @ (mand @ (mbox_s4 @ (down @ X2 @ X1)) @ (mand @ (mbox_s4 @ (in @ X2 @ X6)) @ (mand @ (mbox_s4 @ (seat @ X16)) @ (mand @ (mbox_s4 @ (furniture @ X16)) @ (mand @ (mbox_s4 @ (front @ X16)) @ (mand @ (mbox_s4 @ (mnot @ (mbox_s4 @ (qmltpeq @ X11 @ X15)))) @ (mand @ (mbox_s4 @ (fellow @ X11)) @ (mand @ (mbox_s4 @ (man @ X11)) @ (mand @ (mbox_s4 @ (young @ X11)) @ (mand @ (mbox_s4 @ (fellow @ X15)) @ (mand @ (mbox_s4 @ (man @ X15)) @ (mand @ (mbox_s4 @ (young @ X15)) @ (mand @ (mbox_s4 @ (qmltpeq @ X11 @ X17)) @ (mand @ (mbox_s4 @ (in @ X17 @ X16)) @ (mand @ (mbox_s4 @ (qmltpeq @ X15 @ X18)) @ (mbox_s4 @ (in @ X18 @ X10)))))))))))))))))))))))))))))))))))))))))))))))))))) @ (mexists_ind @ (^[X19 : mu] : (mexists_ind @ (^[X20 : mu] : (mexists_ind @ (^[X21 : mu] : (mexists_ind @ (^[X22 : mu] : (mexists_ind @ (^[X23 : mu] : (mexists_ind @ (^[X24 : mu] : (mexists_ind @ (^[X25 : mu] : (mexists_ind @ (^[X26 : mu] : (mexists_ind @ (^[X27 : mu] : (mexists_ind @ (^[X28 : mu] : (mand @ (mbox_s4 @ (seat @ X19)) @ (mand @ (mbox_s4 @ (furniture @ X19)) @ (mand @ (mbox_s4 @ (front @ X19)) @ (mand @ (mbox_s4 @ (hollywood @ X20)) @ (mand @ (mbox_s4 @ (city @ X20)) @ (mand @ (mbox_s4 @ (event @ X21)) @ (mand @ (mbox_s4 @ (chevy @ X22)) @ (mand @ (mbox_s4 @ (car @ X22)) @ (mand @ (mbox_s4 @ (white @ X22)) @ (mand @ (mbox_s4 @ (dirty @ X22)) @ (mand @ (mbox_s4 @ (old @ X22)) @ (mand @ (mbox_s4 @ (street @ X23)) @ (mand @ (mbox_s4 @ (way @ X23)) @ (mand @ (mbox_s4 @ (lonely @ X23)) @ (mand @ (mbox_s4 @ (barrel @ X21 @ X22)) @ (mand @ (mbox_s4 @ (down @ X21 @ X23)) @ (mand @ (mbox_s4 @ (in @ X21 @ X20)) @ (mand @ (mbox_s4 @ (seat @ X26)) @ (mand @ (mbox_s4 @ (furniture @ X26)) @ (mand @ (mbox_s4 @ (front @ X26)) @ (mand @ (mbox_s4 @ (mnot @ (mbox_s4 @ (qmltpeq @ X24 @ X25)))) @ (mand @ (mbox_s4 @ (fellow @ X24)) @ (mand @ (mbox_s4 @ (man @ X24)) @ (mand @ (mbox_s4 @ (young @ X24)) @ (mand @ (mbox_s4 @ (fellow @ X25)) @ (mand @ (mbox_s4 @ (man @ X25)) @ (mand @ (mbox_s4 @ (young @ X25)) @ (mand @ (mbox_s4 @ (qmltpeq @ X24 @ X27)) @ (mand @ (mbox_s4 @ (in @ X27 @ X19)) @ (mand @ (mbox_s4 @ (qmltpeq @ X25 @ X28)) @ (mbox_s4 @ (in @ X28 @ X26)))))))))))))))))))))))))))))))))))))))))))))))))))))) @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[X29 : mu] : (mexists_ind @ (^[X30 : mu] : (mexists_ind @ (^[X31 : mu] : (mexists_ind @ (^[X32 : mu] : (mexists_ind @ (^[X33 : mu] : (mexists_ind @ (^[X34 : mu] : (mexists_ind @ (^[X35 : mu] : (mexists_ind @ (^[X36 : mu] : (mexists_ind @ (^[X37 : mu] : (mexists_ind @ (^[X38 : mu] : (mand @ (mbox_s4 @ (seat @ X29)) @ (mand @ (mbox_s4 @ (furniture @ X29)) @ (mand @ (mbox_s4 @ (front @ X29)) @ (mand @ (mbox_s4 @ (hollywood @ X30)) @ (mand @ (mbox_s4 @ (city @ X30)) @ (mand @ (mbox_s4 @ (event @ X31)) @ (mand @ (mbox_s4 @ (chevy @ X32)) @ (mand @ (mbox_s4 @ (car @ X32)) @ (mand @ (mbox_s4 @ (white @ X32)) @ (mand @ (mbox_s4 @ (dirty @ X32)) @ (mand @ (mbox_s4 @ (old @ X32)) @ (mand @ (mbox_s4 @ (street @ X33)) @ (mand @ (mbox_s4 @ (way @ X33)) @ (mand @ (mbox_s4 @ (lonely @ X33)) @ (mand @ (mbox_s4 @ (barrel @ X31 @ X32)) @ (mand @ (mbox_s4 @ (down @ X31 @ X33)) @ (mand @ (mbox_s4 @ (in @ X31 @ X30)) @ (mand @ (mbox_s4 @ (seat @ X36)) @ (mand @ (mbox_s4 @ (furniture @ X36)) @ (mand @ (mbox_s4 @ (front @ X36)) @ (mand @ (mbox_s4 @ (mnot @ (mbox_s4 @ (qmltpeq @ X34 @ X35)))) @ (mand @ (mbox_s4 @ (fellow @ X34)) @ (mand @ (mbox_s4 @ (man @ X34)) @ (mand @ (mbox_s4 @ (young @ X34)) @ (mand @ (mbox_s4 @ (fellow @ X35)) @ (mand @ (mbox_s4 @ (man @ X35)) @ (mand @ (mbox_s4 @ (young @ X35)) @ (mand @ (mbox_s4 @ (qmltpeq @ X34 @ X37)) @ (mand @ (mbox_s4 @ (in @ X37 @ X29)) @ (mand @ (mbox_s4 @ (qmltpeq @ X35 @ X38)) @ (mbox_s4 @ (in @ X38 @ X36)))))))))))))))))))))))))))))))))))))))))))))))))))) @ (mexists_ind @ (^[X39 : mu] : (mexists_ind @ (^[X40 : mu] : (mexists_ind @ (^[X41 : mu] : (mexists_ind @ (^[X42 : mu] : (mexists_ind @ (^[X43 : mu] : (mexists_ind @ (^[X44 : mu] : (mexists_ind @ (^[X45 : mu] : (mexists_ind @ (^[X46 : mu] : (mexists_ind @ (^[X47 : mu] : (mexists_ind @ (^[X48 : mu] : (mand @ (mbox_s4 @ (seat @ X39)) @ (mand @ (mbox_s4 @ (furniture @ X39)) @ (mand @ (mbox_s4 @ (front @ X39)) @ (mand @ (mbox_s4 @ (hollywood @ X40)) @ (mand @ (mbox_s4 @ (city @ X40)) @ (mand @ (mbox_s4 @ (event @ X41)) @ (mand @ (mbox_s4 @ (chevy @ X42)) @ (mand @ (mbox_s4 @ (car @ X42)) @ (mand @ (mbox_s4 @ (white @ X42)) @ (mand @ (mbox_s4 @ (dirty @ X42)) @ (mand @ (mbox_s4 @ (old @ X42)) @ (mand @ (mbox_s4 @ (street @ X43)) @ (mand @ (mbox_s4 @ (way @ X43)) @ (mand @ (mbox_s4 @ (lonely @ X43)) @ (mand @ (mbox_s4 @ (barrel @ X41 @ X42)) @ (mand @ (mbox_s4 @ (down @ X41 @ X43)) @ (mand @ (mbox_s4 @ (in @ X41 @ X40)) @ (mand @ (mbox_s4 @ (seat @ X46)) @ (mand @ (mbox_s4 @ (furniture @ X46)) @ (mand @ (mbox_s4 @ (front @ X46)) @ (mand @ (mbox_s4 @ (mnot @ (mbox_s4 @ (qmltpeq @ X44 @ X45)))) @ (mand @ (mbox_s4 @ (fellow @ X44)) @ (mand @ (mbox_s4 @ (man @ X44)) @ (mand @ (mbox_s4 @ (young @ X44)) @ (mand @ (mbox_s4 @ (fellow @ X45)) @ (mand @ (mbox_s4 @ (man @ X45)) @ (mand @ (mbox_s4 @ (young @ X45)) @ (mand @ (mbox_s4 @ (qmltpeq @ X44 @ X47)) @ (mand @ (mbox_s4 @ (in @ X47 @ X46)) @ (mand @ (mbox_s4 @ (qmltpeq @ X45 @ X48)) @ (mbox_s4 @ (in @ X48 @ X39))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 66.87/8.85 file('/export/starexec/sandbox2/tmp/tmp.F9uYMae9ba/Vampire---4.8_3911',co1)).
% 66.87/8.85 % SZS output end Proof for Vampire---4
% 66.87/8.85 % (4585)------------------------------
% 66.87/8.85 % (4585)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 66.87/8.85 % (4585)Termination reason: Refutation
% 66.87/8.85
% 66.87/8.85 % (4585)Memory used [KB]: 29679
% 66.87/8.85 % (4585)Time elapsed: 1.303 s
% 66.87/8.85 % (4585)Instructions burned: 4077 (million)
% 66.87/8.85 % (4585)------------------------------
% 66.87/8.85 % (4585)------------------------------
% 66.87/8.85 % (4062)Success in time 8.484 s
% 66.87/8.85 % Vampire---4.8 exiting
%------------------------------------------------------------------------------