TSTP Solution File: NLP011^7 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NLP011^7 : TPTP v8.2.0. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 01:00:53 EDT 2024
% Result : Theorem 28.39s 4.07s
% Output : Refutation 28.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.16 % Problem : NLP011^7 : TPTP v8.2.0. Released v5.5.0.
% 0.18/0.18 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.20/0.41 % Computer : n015.cluster.edu
% 0.20/0.41 % Model : x86_64 x86_64
% 0.20/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.41 % Memory : 8042.1875MB
% 0.20/0.41 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.41 % CPULimit : 300
% 0.20/0.41 % WCLimit : 300
% 0.20/0.41 % DateTime : Sun May 19 22:38:53 EDT 2024
% 0.20/0.41 % CPUTime :
% 0.20/0.41 This is a TH0_THM_EQU_NAR problem
% 0.27/0.42 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.27/0.45 % (788)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.27/0.45 % (790)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.27/0.45 % (791)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.27/0.45 % (786)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.27/0.45 % (788)Instruction limit reached!
% 0.27/0.45 % (788)------------------------------
% 0.27/0.45 % (788)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.27/0.45 % (788)Termination reason: Unknown
% 0.27/0.45 % (788)Termination phase: shuffling
% 0.27/0.45
% 0.27/0.45 % (788)Memory used [KB]: 1151
% 0.27/0.45 % (788)Time elapsed: 0.003 s
% 0.27/0.45 % (788)Instructions burned: 2 (million)
% 0.27/0.45 % (788)------------------------------
% 0.27/0.45 % (788)------------------------------
% 0.27/0.45 % (785)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.27/0.45 % (785)Instruction limit reached!
% 0.27/0.45 % (785)------------------------------
% 0.27/0.45 % (785)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.27/0.45 % (785)Termination reason: Unknown
% 0.27/0.45 % (785)Termination phase: shuffling
% 0.27/0.45
% 0.27/0.45 % (785)Memory used [KB]: 1151
% 0.27/0.45 % (785)Time elapsed: 0.004 s
% 0.27/0.45 % (785)Instructions burned: 5 (million)
% 0.27/0.45 % (785)------------------------------
% 0.27/0.45 % (785)------------------------------
% 0.27/0.45 % (787)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.27/0.45 % (787)Instruction limit reached!
% 0.27/0.45 % (787)------------------------------
% 0.27/0.45 % (787)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.27/0.45 % (787)Termination reason: Unknown
% 0.27/0.45 % (787)Termination phase: shuffling
% 0.27/0.45
% 0.27/0.45 % (787)Memory used [KB]: 1151
% 0.27/0.45 % (787)Time elapsed: 0.004 s
% 0.27/0.45 % (787)Instructions burned: 2 (million)
% 0.27/0.45 % (787)------------------------------
% 0.27/0.45 % (787)------------------------------
% 0.27/0.45 % (791)Instruction limit reached!
% 0.27/0.45 % (791)------------------------------
% 0.27/0.45 % (791)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.27/0.45 % (791)Termination reason: Unknown
% 0.27/0.45 % (791)Termination phase: Property scanning
% 0.27/0.45
% 0.27/0.45 % (791)Memory used [KB]: 1407
% 0.27/0.45 % (791)Time elapsed: 0.010 s
% 0.27/0.45 % (791)Instructions burned: 19 (million)
% 0.27/0.45 % (791)------------------------------
% 0.27/0.45 % (791)------------------------------
% 0.27/0.46 % (784)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.27/0.46 % (786)Instruction limit reached!
% 0.27/0.46 % (786)------------------------------
% 0.27/0.46 % (786)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.27/0.46 % (786)Termination reason: Unknown
% 0.27/0.46 % (786)Termination phase: Preprocessing 3
% 0.27/0.46
% 0.27/0.46 % (786)Memory used [KB]: 1407
% 0.27/0.46 % (786)Time elapsed: 0.013 s
% 0.27/0.46 % (786)Instructions burned: 27 (million)
% 0.27/0.46 % (786)------------------------------
% 0.27/0.46 % (786)------------------------------
% 0.27/0.46 % (793)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.27/0.46 % (792)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.27/0.46 % (792)Instruction limit reached!
% 0.27/0.46 % (792)------------------------------
% 0.27/0.46 % (792)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.27/0.46 % (792)Termination reason: Unknown
% 0.27/0.46 % (792)Termination phase: shuffling
% 0.27/0.46
% 0.27/0.46 % (792)Memory used [KB]: 1151
% 0.27/0.46 % (792)Time elapsed: 0.005 s
% 0.27/0.46 % (792)Instructions burned: 4 (million)
% 0.27/0.46 % (792)------------------------------
% 0.27/0.46 % (792)------------------------------
% 0.27/0.47 % (794)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.27/0.47 % (795)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.27/0.47 % (796)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.27/0.47 % (795)Instruction limit reached!
% 0.27/0.47 % (795)------------------------------
% 0.27/0.47 % (795)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.27/0.47 % (795)Termination reason: Unknown
% 0.27/0.47 % (795)Termination phase: shuffling
% 0.27/0.47
% 0.27/0.47 % (795)Memory used [KB]: 1151
% 0.27/0.47 % (795)Time elapsed: 0.004 s
% 0.27/0.47 % (795)Instructions burned: 4 (million)
% 0.27/0.47 % (795)------------------------------
% 0.27/0.47 % (795)------------------------------
% 0.27/0.47 % (794)Instruction limit reached!
% 0.27/0.47 % (794)------------------------------
% 0.27/0.47 % (794)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.27/0.47 % (794)Termination reason: Unknown
% 0.27/0.47 % (794)Termination phase: shuffling
% 0.27/0.47
% 0.27/0.47 % (794)Memory used [KB]: 1407
% 0.27/0.47 % (794)Time elapsed: 0.010 s
% 0.27/0.47 % (794)Instructions burned: 17 (million)
% 0.27/0.47 % (794)------------------------------
% 0.27/0.47 % (794)------------------------------
% 0.27/0.47 % (797)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.27/0.47 % (790)Refutation not found, incomplete strategy
% 0.27/0.47 % (790)------------------------------
% 0.27/0.47 % (790)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.27/0.47 % (790)Termination reason: Refutation not found, incomplete strategy
% 0.27/0.47
% 0.27/0.47
% 0.27/0.47 % (790)Memory used [KB]: 6140
% 0.27/0.47 % (790)Time elapsed: 0.030 s
% 0.27/0.47 % (790)Instructions burned: 68 (million)
% 0.27/0.47 % (790)------------------------------
% 0.27/0.47 % (790)------------------------------
% 0.27/0.48 % (793)Instruction limit reached!
% 0.27/0.48 % (793)------------------------------
% 0.27/0.48 % (793)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.27/0.48 % (793)Termination reason: Unknown
% 0.27/0.48 % (793)Termination phase: Property scanning
% 0.27/0.48
% 0.27/0.48 % (793)Memory used [KB]: 1407
% 0.27/0.48 % (793)Time elapsed: 0.018 s
% 0.27/0.48 % (793)Instructions burned: 39 (million)
% 0.27/0.48 % (793)------------------------------
% 0.27/0.48 % (793)------------------------------
% 0.27/0.48 % (797)Instruction limit reached!
% 0.27/0.48 % (797)------------------------------
% 0.27/0.48 % (797)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.27/0.48 % (797)Termination reason: Unknown
% 0.27/0.48 % (797)Termination phase: shuffling
% 0.27/0.48
% 0.27/0.48 % (797)Memory used [KB]: 1151
% 0.27/0.48 % (797)Time elapsed: 0.005 s
% 0.27/0.48 % (797)Instructions burned: 7 (million)
% 0.27/0.48 % (797)------------------------------
% 0.27/0.48 % (797)------------------------------
% 0.27/0.49 % (799)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.27/0.49 % (798)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.27/0.49 % (799)Instruction limit reached!
% 0.27/0.49 % (799)------------------------------
% 0.27/0.49 % (799)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.27/0.49 % (799)Termination reason: Unknown
% 0.27/0.49 % (799)Termination phase: shuffling
% 0.27/0.49
% 0.27/0.49 % (799)Memory used [KB]: 1151
% 0.27/0.49 % (799)Time elapsed: 0.004 s
% 0.27/0.49 % (799)Instructions burned: 3 (million)
% 0.27/0.49 % (799)------------------------------
% 0.27/0.49 % (799)------------------------------
% 0.27/0.49 % (801)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.27/0.49 % (802)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.27/0.49 % (802)Instruction limit reached!
% 0.27/0.49 % (802)------------------------------
% 0.27/0.49 % (802)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.27/0.49 % (802)Termination reason: Unknown
% 0.27/0.49 % (802)Termination phase: shuffling
% 0.27/0.49
% 0.27/0.49 % (802)Memory used [KB]: 1151
% 0.27/0.49 % (802)Time elapsed: 0.004 s
% 0.27/0.49 % (802)Instructions burned: 5 (million)
% 0.27/0.49 % (802)------------------------------
% 0.27/0.49 % (802)------------------------------
% 0.27/0.49 % (801)Instruction limit reached!
% 0.27/0.49 % (801)------------------------------
% 0.27/0.49 % (801)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.27/0.49 % (801)Termination reason: Unknown
% 0.27/0.49 % (801)Termination phase: shuffling
% 0.27/0.49
% 0.27/0.49 % (801)Memory used [KB]: 1151
% 0.27/0.49 % (801)Time elapsed: 0.005 s
% 0.27/0.49 % (801)Instructions burned: 8 (million)
% 0.27/0.49 % (801)------------------------------
% 0.27/0.49 % (801)------------------------------
% 0.27/0.50 % (803)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.27/0.50 % (798)Instruction limit reached!
% 0.27/0.50 % (798)------------------------------
% 0.27/0.50 % (798)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.27/0.50 % (798)Termination reason: Unknown
% 0.27/0.50 % (798)Termination phase: shuffling
% 0.27/0.50
% 0.27/0.50 % (798)Memory used [KB]: 1407
% 0.27/0.50 % (798)Time elapsed: 0.010 s
% 0.27/0.50 % (798)Instructions burned: 17 (million)
% 0.27/0.50 % (798)------------------------------
% 0.27/0.50 % (798)------------------------------
% 0.27/0.50 % (803)Instruction limit reached!
% 0.27/0.50 % (803)------------------------------
% 0.27/0.50 % (803)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.27/0.50 % (803)Termination reason: Unknown
% 0.27/0.50 % (803)Termination phase: shuffling
% 0.27/0.50
% 0.27/0.50 % (803)Memory used [KB]: 1151
% 0.27/0.50 % (803)Time elapsed: 0.004 s
% 0.27/0.50 % (803)Instructions burned: 5 (million)
% 0.27/0.50 % (803)------------------------------
% 0.27/0.50 % (803)------------------------------
% 0.27/0.51 % (805)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.27/0.51 % (804)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.27/0.51 % (806)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.27/0.51 % (806)Instruction limit reached!
% 0.27/0.51 % (806)------------------------------
% 0.27/0.51 % (806)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.27/0.51 % (806)Termination reason: Unknown
% 0.27/0.51 % (806)Termination phase: shuffling
% 0.27/0.51
% 0.27/0.51 % (806)Memory used [KB]: 1151
% 0.27/0.51 % (806)Time elapsed: 0.004 s
% 0.27/0.51 % (806)Instructions burned: 6 (million)
% 0.27/0.51 % (806)------------------------------
% 0.27/0.51 % (806)------------------------------
% 0.27/0.51 % (800)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.27/0.51 % (807)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.27/0.51 % (800)Instruction limit reached!
% 0.27/0.51 % (800)------------------------------
% 0.27/0.51 % (800)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.27/0.51 % (800)Termination reason: Unknown
% 0.27/0.51 % (800)Termination phase: shuffling
% 0.27/0.51
% 0.27/0.51 % (800)Memory used [KB]: 1151
% 0.27/0.51 % (800)Time elapsed: 0.004 s
% 0.27/0.51 % (800)Instructions burned: 4 (million)
% 0.27/0.51 % (800)------------------------------
% 0.27/0.51 % (800)------------------------------
% 0.27/0.52 % (808)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.27/0.52 % (804)Instruction limit reached!
% 0.27/0.52 % (804)------------------------------
% 0.27/0.52 % (804)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.27/0.52 % (804)Termination reason: Unknown
% 0.27/0.52 % (804)Termination phase: shuffling
% 0.27/0.52
% 0.27/0.52 % (804)Memory used [KB]: 1407
% 0.27/0.52 % (804)Time elapsed: 0.011 s
% 0.27/0.52 % (804)Instructions burned: 19 (million)
% 0.27/0.52 % (804)------------------------------
% 0.27/0.52 % (804)------------------------------
% 0.27/0.52 % (808)Instruction limit reached!
% 0.27/0.52 % (808)------------------------------
% 0.27/0.52 % (808)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.27/0.52 % (808)Termination reason: Unknown
% 0.27/0.52 % (808)Termination phase: Property scanning
% 0.27/0.52
% 0.27/0.52 % (808)Memory used [KB]: 1407
% 0.27/0.52 % (808)Time elapsed: 0.011 s
% 0.27/0.52 % (808)Instructions burned: 22 (million)
% 0.27/0.52 % (808)------------------------------
% 0.27/0.52 % (808)------------------------------
% 0.27/0.53 % (809)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.27/0.53 % (809)Instruction limit reached!
% 0.27/0.53 % (809)------------------------------
% 0.27/0.53 % (809)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.27/0.53 % (809)Termination reason: Unknown
% 0.27/0.53 % (809)Termination phase: shuffling
% 0.27/0.53
% 0.27/0.53 % (809)Memory used [KB]: 1151
% 0.27/0.53 % (809)Time elapsed: 0.004 s
% 0.27/0.53 % (809)Instructions burned: 5 (million)
% 0.27/0.53 % (809)------------------------------
% 0.27/0.53 % (809)------------------------------
% 0.27/0.53 % (811)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.27/0.53 % (807)Refutation not found, incomplete strategy
% 0.27/0.53 % (807)------------------------------
% 0.27/0.53 % (807)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.27/0.53 % (807)Termination reason: Refutation not found, incomplete strategy
% 0.27/0.53
% 0.27/0.53
% 0.27/0.53 % (807)Memory used [KB]: 5884
% 0.27/0.53 % (807)Time elapsed: 0.024 s
% 0.27/0.53 % (807)Instructions burned: 43 (million)
% 0.27/0.53 % (807)------------------------------
% 0.27/0.53 % (807)------------------------------
% 0.27/0.54 % (810)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.27/0.54 % (810)Instruction limit reached!
% 0.27/0.54 % (810)------------------------------
% 0.27/0.54 % (810)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.27/0.54 % (810)Termination reason: Unknown
% 0.27/0.54 % (810)Termination phase: shuffling
% 0.27/0.54
% 0.27/0.54 % (810)Memory used [KB]: 1279
% 0.27/0.54 % (810)Time elapsed: 0.005 s
% 0.27/0.54 % (810)Instructions burned: 7 (million)
% 0.27/0.54 % (810)------------------------------
% 0.27/0.54 % (810)------------------------------
% 0.27/0.55 % (812)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.27/0.55 % (814)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.27/0.55 % (813)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.27/0.56 % (815)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.27/0.56 % (784)Instruction limit reached!
% 0.27/0.56 % (784)------------------------------
% 0.27/0.56 % (784)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.27/0.56 % (784)Termination reason: Unknown
% 0.27/0.56 % (784)Termination phase: Saturation
% 0.27/0.56
% 0.27/0.56 % (784)Memory used [KB]: 6652
% 0.27/0.56 % (784)Time elapsed: 0.082 s
% 0.27/0.56 % (784)Instructions burned: 184 (million)
% 0.27/0.56 % (784)------------------------------
% 0.27/0.56 % (784)------------------------------
% 0.27/0.57 % (813)Instruction limit reached!
% 0.27/0.57 % (813)------------------------------
% 0.27/0.57 % (813)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.27/0.57 % (813)Termination reason: Unknown
% 0.27/0.57 % (813)Termination phase: Property scanning
% 0.27/0.57
% 0.27/0.57 % (813)Memory used [KB]: 1407
% 0.27/0.57 % (813)Time elapsed: 0.008 s
% 0.27/0.57 % (813)Instructions burned: 20 (million)
% 0.27/0.57 % (813)------------------------------
% 0.27/0.57 % (813)------------------------------
% 0.27/0.57 % (815)Instruction limit reached!
% 0.27/0.57 % (815)------------------------------
% 0.27/0.57 % (815)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.27/0.57 % (815)Termination reason: Unknown
% 0.27/0.57 % (815)Termination phase: shuffling
% 0.27/0.57
% 0.27/0.57 % (815)Memory used [KB]: 1407
% 0.27/0.57 % (815)Time elapsed: 0.010 s
% 0.27/0.57 % (815)Instructions burned: 19 (million)
% 0.27/0.57 % (815)------------------------------
% 0.27/0.57 % (815)------------------------------
% 1.12/0.58 % (817)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.12/0.58 % (816)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.12/0.58 % (816)Instruction limit reached!
% 1.12/0.58 % (816)------------------------------
% 1.12/0.58 % (816)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.12/0.58 % (816)Termination reason: Unknown
% 1.12/0.58 % (816)Termination phase: shuffling
% 1.12/0.58
% 1.12/0.58 % (816)Memory used [KB]: 1151
% 1.12/0.58 % (816)Time elapsed: 0.004 s
% 1.12/0.58 % (816)Instructions burned: 3 (million)
% 1.12/0.58 % (816)------------------------------
% 1.12/0.58 % (816)------------------------------
% 1.12/0.58 % (817)Instruction limit reached!
% 1.12/0.58 % (817)------------------------------
% 1.12/0.58 % (817)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.12/0.58 % (817)Termination reason: Unknown
% 1.12/0.58 % (817)Termination phase: Property scanning
% 1.12/0.58
% 1.12/0.58 % (817)Memory used [KB]: 1407
% 1.12/0.58 % (817)Time elapsed: 0.010 s
% 1.12/0.58 % (817)Instructions burned: 31 (million)
% 1.12/0.58 % (817)------------------------------
% 1.12/0.58 % (817)------------------------------
% 1.12/0.58 % (818)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 1.12/0.59 % (819)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.12/0.59 % (820)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.32/0.60 % (820)Instruction limit reached!
% 1.32/0.60 % (820)------------------------------
% 1.32/0.60 % (820)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.32/0.60 % (820)Termination reason: Unknown
% 1.32/0.60 % (820)Termination phase: shuffling
% 1.32/0.60
% 1.32/0.60 % (820)Memory used [KB]: 1151
% 1.32/0.60 % (820)Time elapsed: 0.003 s
% 1.32/0.60 % (820)Instructions burned: 4 (million)
% 1.32/0.60 % (820)------------------------------
% 1.32/0.60 % (820)------------------------------
% 1.32/0.61 % (821)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 1.32/0.61 % (821)Instruction limit reached!
% 1.32/0.61 % (821)------------------------------
% 1.32/0.61 % (821)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.32/0.61 % (821)Termination reason: Unknown
% 1.32/0.61 % (821)Termination phase: Property scanning
% 1.32/0.61
% 1.32/0.61 % (821)Memory used [KB]: 1407
% 1.32/0.61 % (821)Time elapsed: 0.008 s
% 1.32/0.61 % (821)Instructions burned: 21 (million)
% 1.32/0.61 % (821)------------------------------
% 1.32/0.61 % (821)------------------------------
% 1.32/0.61 % (819)Instruction limit reached!
% 1.32/0.61 % (819)------------------------------
% 1.32/0.61 % (819)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.32/0.61 % (819)Termination reason: Unknown
% 1.32/0.61 % (819)Termination phase: Saturation
% 1.32/0.61
% 1.32/0.61 % (819)Memory used [KB]: 6140
% 1.32/0.61 % (819)Time elapsed: 0.026 s
% 1.32/0.61 % (819)Instructions burned: 100 (million)
% 1.32/0.61 % (819)------------------------------
% 1.32/0.61 % (819)------------------------------
% 1.32/0.62 % (822)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 1.32/0.62 % (823)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 1.58/0.64 % (818)Instruction limit reached!
% 1.58/0.64 % (818)------------------------------
% 1.58/0.64 % (818)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.58/0.64 % (818)Termination reason: Unknown
% 1.58/0.64 % (818)Termination phase: Saturation
% 1.58/0.64
% 1.58/0.64 % (818)Memory used [KB]: 6268
% 1.58/0.64 % (818)Time elapsed: 0.054 s
% 1.58/0.64 % (818)Instructions burned: 127 (million)
% 1.58/0.64 % (818)------------------------------
% 1.58/0.64 % (818)------------------------------
% 1.58/0.64 % (811)Instruction limit reached!
% 1.58/0.64 % (811)------------------------------
% 1.58/0.64 % (811)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.58/0.64 % (811)Termination reason: Unknown
% 1.58/0.64 % (811)Termination phase: Saturation
% 1.58/0.64
% 1.58/0.64 % (811)Memory used [KB]: 6652
% 1.58/0.64 % (811)Time elapsed: 0.102 s
% 1.58/0.64 % (811)Instructions burned: 380 (million)
% 1.58/0.64 % (811)------------------------------
% 1.58/0.64 % (811)------------------------------
% 1.58/0.64 % (822)Instruction limit reached!
% 1.58/0.64 % (822)------------------------------
% 1.58/0.64 % (822)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.58/0.64 % (822)Termination reason: Unknown
% 1.58/0.64 % (822)Termination phase: Saturation
% 1.58/0.64
% 1.58/0.64 % (822)Memory used [KB]: 5884
% 1.58/0.64 % (822)Time elapsed: 0.024 s
% 1.58/0.64 % (822)Instructions burned: 86 (million)
% 1.58/0.64 % (822)------------------------------
% 1.58/0.64 % (822)------------------------------
% 1.58/0.65 % (823)Instruction limit reached!
% 1.58/0.65 % (823)------------------------------
% 1.58/0.65 % (823)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.58/0.65 % (823)Termination reason: Unknown
% 1.58/0.65 % (823)Termination phase: Saturation
% 1.58/0.65
% 1.58/0.65 % (823)Memory used [KB]: 6140
% 1.58/0.65 % (823)Time elapsed: 0.028 s
% 1.58/0.65 % (823)Instructions burned: 107 (million)
% 1.58/0.65 % (823)------------------------------
% 1.58/0.65 % (823)------------------------------
% 1.58/0.65 % (824)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.58/0.65 % (825)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2997ds/448Mi)
% 1.58/0.66 % (826)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2997ds/46Mi)
% 1.58/0.66 % (827)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2997ds/98Mi)
% 1.58/0.67 % (824)Instruction limit reached!
% 1.58/0.67 % (824)------------------------------
% 1.58/0.67 % (824)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.58/0.67 % (824)Termination reason: Unknown
% 1.58/0.67 % (824)Termination phase: Property scanning
% 1.58/0.67
% 1.58/0.67 % (824)Memory used [KB]: 1407
% 1.58/0.67 % (824)Time elapsed: 0.018 s
% 1.58/0.67 % (824)Instructions burned: 39 (million)
% 1.58/0.67 % (824)------------------------------
% 1.58/0.67 % (824)------------------------------
% 1.58/0.67 % (826)Instruction limit reached!
% 1.58/0.67 % (826)------------------------------
% 1.58/0.67 % (826)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.58/0.67 % (826)Termination reason: Unknown
% 1.58/0.67 % (826)Termination phase: Saturation
% 1.58/0.67
% 1.58/0.67 % (826)Memory used [KB]: 5884
% 1.58/0.67 % (826)Time elapsed: 0.015 s
% 1.58/0.67 % (826)Instructions burned: 46 (million)
% 1.58/0.67 % (826)------------------------------
% 1.58/0.67 % (826)------------------------------
% 1.58/0.68 % (828)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2997ds/507Mi)
% 1.58/0.68 % (827)Instruction limit reached!
% 1.58/0.68 % (827)------------------------------
% 1.58/0.68 % (827)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.58/0.68 % (827)Termination reason: Unknown
% 1.58/0.68 % (827)Termination phase: Saturation
% 1.58/0.68
% 1.58/0.68 % (827)Memory used [KB]: 1663
% 1.58/0.68 % (827)Time elapsed: 0.026 s
% 1.58/0.68 % (827)Instructions burned: 100 (million)
% 1.58/0.68 % (827)------------------------------
% 1.58/0.68 % (827)------------------------------
% 1.58/0.69 % (829)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 1.58/0.69 % (830)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 2.05/0.70 % (830)Instruction limit reached!
% 2.05/0.70 % (830)------------------------------
% 2.05/0.70 % (830)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.05/0.70 % (830)Termination reason: Unknown
% 2.05/0.70 % (830)Termination phase: Function definition elimination
% 2.05/0.70
% 2.05/0.70 % (830)Memory used [KB]: 1407
% 2.05/0.70 % (830)Time elapsed: 0.012 s
% 2.05/0.70 % (830)Instructions burned: 40 (million)
% 2.05/0.70 % (830)------------------------------
% 2.05/0.70 % (830)------------------------------
% 2.05/0.71 % (831)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2997ds/6Mi)
% 2.05/0.72 % (831)Instruction limit reached!
% 2.05/0.72 % (831)------------------------------
% 2.05/0.72 % (831)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.05/0.72 % (831)Termination reason: Unknown
% 2.05/0.72 % (831)Termination phase: shuffling
% 2.05/0.72
% 2.05/0.72 % (831)Memory used [KB]: 1279
% 2.05/0.72 % (831)Time elapsed: 0.004 s
% 2.05/0.72 % (831)Instructions burned: 9 (million)
% 2.05/0.72 % (831)------------------------------
% 2.05/0.72 % (831)------------------------------
% 2.05/0.72 % (832)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2997ds/1087Mi)
% 2.05/0.75 % (829)Instruction limit reached!
% 2.05/0.75 % (829)------------------------------
% 2.05/0.75 % (829)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.05/0.75 % (829)Termination reason: Unknown
% 2.05/0.75 % (829)Termination phase: Saturation
% 2.05/0.75
% 2.05/0.75 % (829)Memory used [KB]: 6396
% 2.05/0.75 % (829)Time elapsed: 0.064 s
% 2.05/0.75 % (829)Instructions burned: 150 (million)
% 2.05/0.75 % (829)------------------------------
% 2.05/0.75 % (829)------------------------------
% 2.05/0.75 % (825)Instruction limit reached!
% 2.05/0.75 % (825)------------------------------
% 2.05/0.75 % (825)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.05/0.75 % (825)Termination reason: Unknown
% 2.05/0.75 % (825)Termination phase: Saturation
% 2.05/0.75
% 2.05/0.75 % (825)Memory used [KB]: 6780
% 2.05/0.75 % (825)Time elapsed: 0.103 s
% 2.05/0.75 % (825)Instructions burned: 450 (million)
% 2.05/0.75 % (825)------------------------------
% 2.05/0.75 % (825)------------------------------
% 2.51/0.76 % (833)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2996ds/47Mi)
% 2.51/0.77 % (834)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2996ds/44Mi)
% 2.51/0.78 % (834)Instruction limit reached!
% 2.51/0.78 % (834)------------------------------
% 2.51/0.78 % (834)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.51/0.78 % (834)Termination reason: Unknown
% 2.51/0.78 % (834)Termination phase: Property scanning
% 2.51/0.78
% 2.51/0.78 % (834)Memory used [KB]: 1407
% 2.51/0.78 % (834)Time elapsed: 0.014 s
% 2.51/0.78 % (834)Instructions burned: 44 (million)
% 2.51/0.78 % (834)------------------------------
% 2.51/0.78 % (834)------------------------------
% 2.51/0.78 % (833)Instruction limit reached!
% 2.51/0.78 % (833)------------------------------
% 2.51/0.78 % (833)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.51/0.78 % (833)Termination reason: Unknown
% 2.51/0.78 % (833)Termination phase: Property scanning
% 2.51/0.78
% 2.51/0.78 % (833)Memory used [KB]: 1407
% 2.51/0.78 % (833)Time elapsed: 0.021 s
% 2.51/0.78 % (833)Instructions burned: 47 (million)
% 2.51/0.78 % (833)------------------------------
% 2.51/0.78 % (833)------------------------------
% 2.51/0.79 % (835)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2996ds/432Mi)
% 2.51/0.79 % (805)Instruction limit reached!
% 2.51/0.79 % (805)------------------------------
% 2.51/0.79 % (805)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.51/0.79 % (805)Termination reason: Unknown
% 2.51/0.79 % (805)Termination phase: Saturation
% 2.51/0.79
% 2.51/0.79 % (805)Memory used [KB]: 6396
% 2.51/0.79 % (805)Time elapsed: 0.285 s
% 2.51/0.79 % (805)Instructions burned: 710 (million)
% 2.51/0.79 % (805)------------------------------
% 2.51/0.79 % (805)------------------------------
% 2.51/0.79 % (828)Instruction limit reached!
% 2.51/0.79 % (828)------------------------------
% 2.51/0.79 % (828)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.51/0.79 % (828)Termination reason: Unknown
% 2.51/0.79 % (828)Termination phase: Saturation
% 2.51/0.79
% 2.51/0.79 % (828)Memory used [KB]: 7547
% 2.51/0.79 % (828)Time elapsed: 0.118 s
% 2.51/0.79 % (828)Instructions burned: 510 (million)
% 2.51/0.79 % (828)------------------------------
% 2.51/0.79 % (828)------------------------------
% 2.51/0.80 % (836)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2996ds/62Mi)
% 2.51/0.80 % (838)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2996ds/96Mi)
% 2.51/0.81 % (837)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2996ds/31Mi)
% 2.51/0.81 % (812)Instruction limit reached!
% 2.51/0.81 % (812)------------------------------
% 2.51/0.81 % (812)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.51/0.81 % (812)Termination reason: Unknown
% 2.51/0.81 % (812)Termination phase: Saturation
% 2.51/0.81
% 2.51/0.81 % (812)Memory used [KB]: 7547
% 2.51/0.81 % (812)Time elapsed: 0.271 s
% 2.51/0.81 % (812)Instructions burned: 780 (million)
% 2.51/0.81 % (812)------------------------------
% 2.51/0.81 % (812)------------------------------
% 2.51/0.82 % (837)Instruction limit reached!
% 2.51/0.82 % (837)------------------------------
% 2.51/0.82 % (837)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.51/0.82 % (837)Termination reason: Unknown
% 2.51/0.82 % (837)Termination phase: Property scanning
% 2.51/0.82
% 2.51/0.82 % (837)Memory used [KB]: 1407
% 2.51/0.82 % (837)Time elapsed: 0.016 s
% 2.51/0.82 % (837)Instructions burned: 33 (million)
% 2.51/0.82 % (837)------------------------------
% 2.51/0.82 % (837)------------------------------
% 2.51/0.82 % (836)Instruction limit reached!
% 2.51/0.82 % (836)------------------------------
% 2.51/0.82 % (836)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.51/0.82 % (796)Instruction limit reached!
% 2.51/0.82 % (796)------------------------------
% 2.51/0.82 % (796)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.51/0.82 % (796)Termination reason: Unknown
% 2.51/0.82 % (796)Termination phase: Saturation
% 2.51/0.82
% 2.51/0.82 % (796)Memory used [KB]: 7547
% 2.51/0.82 % (796)Time elapsed: 0.355 s
% 2.51/0.82 % (796)Instructions burned: 1041 (million)
% 2.51/0.82 % (796)------------------------------
% 2.51/0.82 % (796)------------------------------
% 2.51/0.82 % (836)Termination reason: Unknown
% 2.51/0.82 % (836)Termination phase: Property scanning
% 2.51/0.82
% 2.51/0.82 % (836)Memory used [KB]: 1407
% 2.51/0.82 % (836)Time elapsed: 0.027 s
% 2.51/0.82 % (836)Instructions burned: 62 (million)
% 2.51/0.82 % (836)------------------------------
% 2.51/0.82 % (836)------------------------------
% 2.51/0.83 % (838)Instruction limit reached!
% 2.51/0.83 % (838)------------------------------
% 2.51/0.83 % (838)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.51/0.83 % (838)Termination reason: Unknown
% 2.51/0.83 % (838)Termination phase: Saturation
% 2.51/0.83
% 2.51/0.83 % (838)Memory used [KB]: 5884
% 2.51/0.83 % (838)Time elapsed: 0.026 s
% 2.51/0.83 % (838)Instructions burned: 96 (million)
% 2.51/0.83 % (838)------------------------------
% 2.51/0.83 % (838)------------------------------
% 2.51/0.83 % (839)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2996ds/453Mi)
% 2.51/0.84 % (840)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2996ds/71Mi)
% 2.51/0.84 % (841)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2996ds/83Mi)
% 2.51/0.84 % (843)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2996ds/41Mi)
% 2.51/0.84 % (842)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2996ds/11Mi)
% 2.51/0.84 % (842)Instruction limit reached!
% 2.51/0.84 % (842)------------------------------
% 2.51/0.84 % (842)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.51/0.84 % (842)Termination reason: Unknown
% 2.51/0.84 % (842)Termination phase: shuffling
% 2.51/0.84
% 2.51/0.84 % (842)Memory used [KB]: 1407
% 2.51/0.84 % (842)Time elapsed: 0.007 s
% 2.51/0.84 % (842)Instructions burned: 12 (million)
% 2.51/0.84 % (842)------------------------------
% 2.51/0.84 % (842)------------------------------
% 2.51/0.85 % (843)Instruction limit reached!
% 2.51/0.85 % (843)------------------------------
% 2.51/0.85 % (843)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.51/0.85 % (843)Termination reason: Unknown
% 2.51/0.85 % (843)Termination phase: Property scanning
% 2.51/0.85
% 2.51/0.85 % (843)Memory used [KB]: 1407
% 2.51/0.85 % (843)Time elapsed: 0.013 s
% 2.51/0.85 % (843)Instructions burned: 44 (million)
% 2.51/0.85 % (843)------------------------------
% 2.51/0.85 % (843)------------------------------
% 3.12/0.86 % (844)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2995ds/6Mi)
% 3.12/0.86 % (845)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2995ds/150Mi)
% 3.12/0.86 % (844)Instruction limit reached!
% 3.12/0.86 % (844)------------------------------
% 3.12/0.86 % (844)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.12/0.86 % (844)Termination reason: Unknown
% 3.12/0.86 % (844)Termination phase: shuffling
% 3.12/0.86
% 3.12/0.86 % (844)Memory used [KB]: 1279
% 3.12/0.86 % (844)Time elapsed: 0.005 s
% 3.12/0.86 % (844)Instructions burned: 7 (million)
% 3.12/0.86 % (844)------------------------------
% 3.12/0.86 % (844)------------------------------
% 3.12/0.86 % (840)Instruction limit reached!
% 3.12/0.86 % (840)------------------------------
% 3.12/0.86 % (840)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.12/0.86 % (840)Termination reason: Unknown
% 3.12/0.86 % (840)Termination phase: Property scanning
% 3.12/0.86
% 3.12/0.86 % (840)Memory used [KB]: 1407
% 3.12/0.86 % (840)Time elapsed: 0.030 s
% 3.12/0.86 % (840)Instructions burned: 71 (million)
% 3.12/0.86 % (840)------------------------------
% 3.12/0.86 % (840)------------------------------
% 3.12/0.87 % (841)Instruction limit reached!
% 3.12/0.87 % (841)------------------------------
% 3.12/0.87 % (841)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.12/0.87 % (841)Termination reason: Unknown
% 3.12/0.87 % (841)Termination phase: Saturation
% 3.12/0.87
% 3.12/0.87 % (841)Memory used [KB]: 6140
% 3.12/0.87 % (841)Time elapsed: 0.031 s
% 3.12/0.87 % (841)Instructions burned: 83 (million)
% 3.12/0.87 % (841)------------------------------
% 3.12/0.87 % (841)------------------------------
% 3.12/0.87 % (848)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2995ds/253Mi)
% 3.12/0.88 % (847)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on theBenchmark for (2995ds/109Mi)
% 3.12/0.88 % (814)Instruction limit reached!
% 3.12/0.88 % (814)------------------------------
% 3.12/0.88 % (814)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.12/0.88 % (814)Termination reason: Unknown
% 3.12/0.88 % (814)Termination phase: Saturation
% 3.12/0.88
% 3.12/0.88 % (814)Memory used [KB]: 7931
% 3.12/0.88 % (814)Time elapsed: 0.332 s
% 3.12/0.88 % (814)Instructions burned: 880 (million)
% 3.12/0.88 % (814)------------------------------
% 3.12/0.88 % (814)------------------------------
% 3.12/0.88 % (846)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2995ds/343Mi)
% 3.12/0.89 % (835)Instruction limit reached!
% 3.12/0.89 % (835)------------------------------
% 3.12/0.89 % (835)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.12/0.89 % (835)Termination reason: Unknown
% 3.12/0.89 % (835)Termination phase: Saturation
% 3.12/0.89
% 3.12/0.89 % (835)Memory used [KB]: 2302
% 3.12/0.89 % (835)Time elapsed: 0.103 s
% 3.12/0.89 % (835)Instructions burned: 433 (million)
% 3.12/0.89 % (835)------------------------------
% 3.12/0.89 % (835)------------------------------
% 3.37/0.90 % (849)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2995ds/140Mi)
% 3.37/0.90 % (845)Instruction limit reached!
% 3.37/0.90 % (845)------------------------------
% 3.37/0.90 % (845)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.37/0.90 % (845)Termination reason: Unknown
% 3.37/0.90 % (845)Termination phase: Saturation
% 3.37/0.90
% 3.37/0.90 % (845)Memory used [KB]: 6268
% 3.37/0.90 % (845)Time elapsed: 0.038 s
% 3.37/0.90 % (845)Instructions burned: 154 (million)
% 3.37/0.90 % (845)------------------------------
% 3.37/0.90 % (845)------------------------------
% 3.37/0.90 % (848)Refutation not found, incomplete strategy
% 3.37/0.90 % (848)------------------------------
% 3.37/0.90 % (848)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.37/0.90 % (848)Termination reason: Refutation not found, incomplete strategy
% 3.37/0.90
% 3.37/0.90
% 3.37/0.90 % (848)Memory used [KB]: 6140
% 3.37/0.90 % (848)Time elapsed: 0.048 s
% 3.37/0.90 % (848)Instructions burned: 87 (million)
% 3.37/0.90 % (848)------------------------------
% 3.37/0.90 % (848)------------------------------
% 3.37/0.91 % (851)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on theBenchmark for (2995ds/202Mi)
% 3.37/0.91 % (850)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on theBenchmark for (2995ds/614Mi)
% 3.37/0.92 % (846)Refutation not found, incomplete strategy
% 3.37/0.92 % (846)------------------------------
% 3.37/0.92 % (846)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.37/0.92 % (846)Termination reason: Refutation not found, incomplete strategy
% 3.37/0.92
% 3.37/0.92
% 3.37/0.92 % (846)Memory used [KB]: 6140
% 3.37/0.92 % (846)Time elapsed: 0.062 s
% 3.37/0.92 % (846)Instructions burned: 87 (million)
% 3.37/0.92 % (846)------------------------------
% 3.37/0.92 % (846)------------------------------
% 3.37/0.92 % (851)Refutation not found, incomplete strategy
% 3.37/0.92 % (851)------------------------------
% 3.37/0.92 % (851)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.37/0.92 % (851)Termination reason: Refutation not found, incomplete strategy
% 3.37/0.92
% 3.37/0.92
% 3.37/0.92 % (851)Memory used [KB]: 5884
% 3.37/0.92 % (851)Time elapsed: 0.015 s
% 3.37/0.92 % (851)Instructions burned: 49 (million)
% 3.37/0.92 % (851)------------------------------
% 3.37/0.92 % (851)------------------------------
% 3.37/0.92 % (847)Instruction limit reached!
% 3.37/0.92 % (847)------------------------------
% 3.37/0.92 % (847)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.37/0.92 % (847)Termination reason: Unknown
% 3.37/0.92 % (847)Termination phase: Saturation
% 3.37/0.92
% 3.37/0.92 % (847)Memory used [KB]: 6140
% 3.37/0.92 % (847)Time elapsed: 0.047 s
% 3.37/0.92 % (847)Instructions burned: 110 (million)
% 3.37/0.92 % (847)------------------------------
% 3.37/0.92 % (847)------------------------------
% 3.37/0.92 % (852)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on theBenchmark for (2995ds/339Mi)
% 3.37/0.93 % (849)Instruction limit reached!
% 3.37/0.93 % (849)------------------------------
% 3.37/0.93 % (849)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.37/0.93 % (854)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2994ds/134Mi)
% 3.37/0.93 % (849)Termination reason: Unknown
% 3.37/0.93 % (849)Termination phase: Saturation
% 3.37/0.93
% 3.37/0.93 % (849)Memory used [KB]: 6652
% 3.37/0.93 % (849)Time elapsed: 0.037 s
% 3.37/0.93 % (849)Instructions burned: 142 (million)
% 3.37/0.93 % (849)------------------------------
% 3.37/0.93 % (849)------------------------------
% 3.64/0.94 % (853)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on theBenchmark for (2995ds/283Mi)
% 3.64/0.94 % (856)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2994ds/192Mi)
% 3.64/0.94 % (855)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2994ds/298Mi)
% 3.64/0.97 % (854)Instruction limit reached!
% 3.64/0.97 % (854)------------------------------
% 3.64/0.97 % (854)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.64/0.97 % (854)Termination reason: Unknown
% 3.64/0.97 % (854)Termination phase: Saturation
% 3.64/0.97
% 3.64/0.97 % (854)Memory used [KB]: 6268
% 3.64/0.97 % (854)Time elapsed: 0.036 s
% 3.64/0.97 % (854)Instructions burned: 134 (million)
% 3.64/0.97 % (854)------------------------------
% 3.64/0.97 % (854)------------------------------
% 3.64/0.98 % (857)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on theBenchmark for (2994ds/258Mi)
% 3.64/0.98 % (832)Instruction limit reached!
% 3.64/0.98 % (832)------------------------------
% 3.64/0.98 % (832)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.64/0.98 % (832)Termination reason: Unknown
% 3.64/0.98 % (832)Termination phase: Saturation
% 3.64/0.98
% 3.64/0.98 % (832)Memory used [KB]: 7803
% 3.64/0.98 % (832)Time elapsed: 0.255 s
% 3.64/0.98 % (832)Instructions burned: 1087 (million)
% 3.64/0.98 % (832)------------------------------
% 3.64/0.98 % (832)------------------------------
% 3.64/0.99 % (856)Instruction limit reached!
% 3.64/0.99 % (856)------------------------------
% 3.64/0.99 % (856)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.64/0.99 % (856)Termination reason: Unknown
% 3.64/0.99 % (856)Termination phase: Saturation
% 3.64/0.99
% 3.64/0.99 % (856)Memory used [KB]: 6652
% 3.64/0.99 % (856)Time elapsed: 0.049 s
% 3.64/0.99 % (856)Instructions burned: 194 (million)
% 3.64/0.99 % (856)------------------------------
% 3.64/0.99 % (856)------------------------------
% 3.64/0.99 % (839)Instruction limit reached!
% 3.64/0.99 % (839)------------------------------
% 3.64/0.99 % (839)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.64/0.99 % (839)Termination reason: Unknown
% 3.64/0.99 % (839)Termination phase: Saturation
% 3.64/0.99
% 3.64/0.99 % (839)Memory used [KB]: 6908
% 3.64/0.99 % (839)Time elapsed: 0.163 s
% 3.64/0.99 % (839)Instructions burned: 453 (million)
% 3.64/0.99 % (839)------------------------------
% 3.64/0.99 % (839)------------------------------
% 3.64/1.00 % (858)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 4.17/1.00 % (859)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on theBenchmark for (2994ds/231Mi)
% 4.17/1.02 % (860)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on theBenchmark for (2994ds/458Mi)
% 4.17/1.02 % (853)Instruction limit reached!
% 4.17/1.02 % (853)------------------------------
% 4.17/1.02 % (853)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.17/1.02 % (853)Termination reason: Unknown
% 4.17/1.02 % (853)Termination phase: Saturation
% 4.17/1.02
% 4.17/1.02 % (853)Memory used [KB]: 6780
% 4.17/1.02 % (853)Time elapsed: 0.090 s
% 4.17/1.02 % (853)Instructions burned: 285 (million)
% 4.17/1.02 % (853)------------------------------
% 4.17/1.02 % (853)------------------------------
% 4.17/1.03 % (852)Instruction limit reached!
% 4.17/1.03 % (852)------------------------------
% 4.17/1.03 % (852)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.17/1.03 % (852)Termination reason: Unknown
% 4.17/1.03 % (852)Termination phase: Saturation
% 4.17/1.03
% 4.17/1.03 % (852)Memory used [KB]: 6908
% 4.17/1.03 % (852)Time elapsed: 0.108 s
% 4.17/1.03 % (852)Instructions burned: 340 (million)
% 4.17/1.03 % (852)------------------------------
% 4.17/1.03 % (852)------------------------------
% 4.17/1.03 % (857)Instruction limit reached!
% 4.17/1.03 % (857)------------------------------
% 4.17/1.03 % (857)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.17/1.03 % (857)Termination reason: Unknown
% 4.17/1.03 % (857)Termination phase: Saturation
% 4.17/1.03
% 4.17/1.03 % (857)Memory used [KB]: 6780
% 4.17/1.03 % (857)Time elapsed: 0.060 s
% 4.17/1.03 % (857)Instructions burned: 258 (million)
% 4.17/1.03 % (857)------------------------------
% 4.17/1.03 % (857)------------------------------
% 4.17/1.03 % (858)Instruction limit reached!
% 4.17/1.03 % (858)------------------------------
% 4.17/1.03 % (858)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.17/1.03 % (858)Termination reason: Unknown
% 4.17/1.03 % (858)Termination phase: Saturation
% 4.17/1.03
% 4.17/1.03 % (858)Memory used [KB]: 6140
% 4.17/1.03 % (858)Time elapsed: 0.040 s
% 4.17/1.03 % (858)Instructions burned: 91 (million)
% 4.17/1.03 % (858)------------------------------
% 4.17/1.03 % (858)------------------------------
% 4.17/1.03 % (861)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2993ds/31Mi)
% 4.17/1.04 % (861)Instruction limit reached!
% 4.17/1.04 % (861)------------------------------
% 4.17/1.04 % (861)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.17/1.04 % (861)Termination reason: Unknown
% 4.17/1.04 % (861)Termination phase: Property scanning
% 4.17/1.04
% 4.17/1.04 % (861)Memory used [KB]: 1407
% 4.17/1.04 % (861)Time elapsed: 0.010 s
% 4.17/1.04 % (861)Instructions burned: 32 (million)
% 4.17/1.04 % (861)------------------------------
% 4.17/1.04 % (861)------------------------------
% 4.17/1.04 % (863)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on theBenchmark for (2993ds/987Mi)
% 4.17/1.05 % (864)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on theBenchmark for (2993ds/182Mi)
% 4.17/1.05 % (862)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2993ds/297Mi)
% 4.17/1.05 % (855)Instruction limit reached!
% 4.17/1.05 % (855)------------------------------
% 4.17/1.05 % (855)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.17/1.05 % (855)Termination reason: Unknown
% 4.17/1.05 % (865)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on theBenchmark for (2993ds/182Mi)
% 4.17/1.05 % (855)Termination phase: Saturation
% 4.17/1.05
% 4.17/1.05 % (855)Memory used [KB]: 7419
% 4.17/1.05 % (855)Time elapsed: 0.111 s
% 4.17/1.05 % (855)Instructions burned: 298 (million)
% 4.17/1.05 % (855)------------------------------
% 4.17/1.05 % (855)------------------------------
% 4.17/1.07 % (866)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on theBenchmark for (2993ds/154Mi)
% 5.02/1.09 % (864)Instruction limit reached!
% 5.02/1.09 % (864)------------------------------
% 5.02/1.09 % (864)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.02/1.09 % (864)Termination reason: Unknown
% 5.02/1.09 % (864)Termination phase: Saturation
% 5.02/1.09
% 5.02/1.09 % (864)Memory used [KB]: 6652
% 5.02/1.09 % (864)Time elapsed: 0.048 s
% 5.02/1.09 % (864)Instructions burned: 183 (million)
% 5.02/1.09 % (864)------------------------------
% 5.02/1.09 % (864)------------------------------
% 5.02/1.10 % (859)Instruction limit reached!
% 5.02/1.10 % (859)------------------------------
% 5.02/1.10 % (859)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.02/1.10 % (859)Termination reason: Unknown
% 5.02/1.10 % (859)Termination phase: Saturation
% 5.02/1.10
% 5.02/1.10 % (859)Memory used [KB]: 7036
% 5.02/1.10 % (859)Time elapsed: 0.102 s
% 5.02/1.10 % (859)Instructions burned: 232 (million)
% 5.02/1.10 % (859)------------------------------
% 5.02/1.10 % (859)------------------------------
% 5.02/1.11 % (850)Instruction limit reached!
% 5.02/1.11 % (850)------------------------------
% 5.02/1.11 % (850)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.02/1.11 % (850)Termination reason: Unknown
% 5.02/1.11 % (850)Termination phase: Saturation
% 5.02/1.11
% 5.02/1.11 % (850)Memory used [KB]: 7803
% 5.02/1.11 % (850)Time elapsed: 0.205 s
% 5.02/1.11 % (850)Instructions burned: 614 (million)
% 5.02/1.11 % (850)------------------------------
% 5.02/1.11 % (850)------------------------------
% 5.02/1.11 % (866)Instruction limit reached!
% 5.02/1.11 % (866)------------------------------
% 5.02/1.11 % (866)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.02/1.11 % (866)Termination reason: Unknown
% 5.02/1.11 % (866)Termination phase: Saturation
% 5.02/1.11
% 5.02/1.11 % (866)Memory used [KB]: 2174
% 5.02/1.11 % (866)Time elapsed: 0.040 s
% 5.02/1.11 % (866)Instructions burned: 157 (million)
% 5.02/1.11 % (866)------------------------------
% 5.02/1.11 % (866)------------------------------
% 5.02/1.11 % (867)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on theBenchmark for (2993ds/79Mi)
% 5.02/1.12 % (869)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on theBenchmark for (2993ds/114Mi)
% 5.02/1.12 % (870)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on theBenchmark for (2993ds/922Mi)
% 5.02/1.12 % (865)Instruction limit reached!
% 5.02/1.12 % (865)------------------------------
% 5.02/1.12 % (865)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.02/1.12 % (865)Termination reason: Unknown
% 5.02/1.12 % (865)Termination phase: Saturation
% 5.02/1.12
% 5.02/1.12 % (865)Memory used [KB]: 6396
% 5.02/1.12 % (865)Time elapsed: 0.073 s
% 5.02/1.12 % (865)Instructions burned: 182 (million)
% 5.02/1.12 % (865)------------------------------
% 5.02/1.12 % (865)------------------------------
% 5.02/1.12 % (868)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on theBenchmark for (2993ds/216Mi)
% 5.02/1.14 % (871)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on theBenchmark for (2992ds/182Mi)
% 5.02/1.14 % (860)Instruction limit reached!
% 5.02/1.14 % (860)------------------------------
% 5.02/1.14 % (860)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.02/1.14 % (860)Termination reason: Unknown
% 5.02/1.14 % (860)Termination phase: Saturation
% 5.02/1.14
% 5.02/1.14 % (860)Memory used [KB]: 6780
% 5.02/1.14 % (860)Time elapsed: 0.118 s
% 5.02/1.14 % (860)Instructions burned: 458 (million)
% 5.02/1.14 % (860)------------------------------
% 5.02/1.14 % (860)------------------------------
% 5.02/1.15 % (867)Instruction limit reached!
% 5.02/1.15 % (867)------------------------------
% 5.02/1.15 % (867)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.02/1.15 % (867)Termination reason: Unknown
% 5.02/1.15 % (867)Termination phase: Property scanning
% 5.02/1.15
% 5.02/1.15 % (867)Memory used [KB]: 1407
% 5.02/1.15 % (867)Time elapsed: 0.034 s
% 5.02/1.15 % (867)Instructions burned: 80 (million)
% 5.02/1.15 % (867)------------------------------
% 5.02/1.15 % (867)------------------------------
% 5.02/1.15 % (872)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on theBenchmark for (2992ds/164Mi)
% 5.02/1.16 % (869)Instruction limit reached!
% 5.02/1.16 % (869)------------------------------
% 5.02/1.16 % (869)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.02/1.16 % (869)Termination reason: Unknown
% 5.02/1.16 % (869)Termination phase: Saturation
% 5.02/1.16
% 5.02/1.16 % (869)Memory used [KB]: 6140
% 5.02/1.16 % (869)Time elapsed: 0.036 s
% 5.02/1.16 % (869)Instructions burned: 114 (million)
% 5.02/1.16 % (869)------------------------------
% 5.02/1.16 % (869)------------------------------
% 5.02/1.16 % (862)Instruction limit reached!
% 5.02/1.16 % (862)------------------------------
% 5.02/1.16 % (862)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.02/1.16 % (862)Termination reason: Unknown
% 5.02/1.16 % (862)Termination phase: Saturation
% 5.02/1.16
% 5.02/1.16 % (862)Memory used [KB]: 6652
% 5.02/1.16 % (862)Time elapsed: 0.099 s
% 5.02/1.16 % (862)Instructions burned: 297 (million)
% 5.02/1.16 % (862)------------------------------
% 5.02/1.16 % (862)------------------------------
% 5.02/1.17 % (874)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on theBenchmark for (2992ds/368Mi)
% 5.02/1.17 % (873)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on theBenchmark for (2992ds/50Mi)
% 5.02/1.17 % (875)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on theBenchmark for (2992ds/1021Mi)
% 5.63/1.18 % (872)Refutation not found, incomplete strategy
% 5.63/1.18 % (872)------------------------------
% 5.63/1.18 % (872)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.63/1.18 % (872)Termination reason: Refutation not found, incomplete strategy
% 5.63/1.18
% 5.63/1.18
% 5.63/1.18 % (872)Memory used [KB]: 1663
% 5.63/1.18 % (872)Time elapsed: 0.028 s
% 5.63/1.18 % (872)Instructions burned: 98 (million)
% 5.63/1.18 % (872)------------------------------
% 5.63/1.18 % (872)------------------------------
% 5.63/1.18 % (868)Instruction limit reached!
% 5.63/1.18 % (868)------------------------------
% 5.63/1.18 % (868)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.63/1.18 % (868)Termination reason: Unknown
% 5.63/1.18 % (868)Termination phase: Saturation
% 5.63/1.18
% 5.63/1.18 % (868)Memory used [KB]: 6524
% 5.63/1.18 % (868)Time elapsed: 0.049 s
% 5.63/1.18 % (868)Instructions burned: 218 (million)
% 5.63/1.18 % (868)------------------------------
% 5.63/1.18 % (868)------------------------------
% 5.63/1.19 % (876)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on theBenchmark for (2992ds/267Mi)
% 5.63/1.19 % (873)Instruction limit reached!
% 5.63/1.19 % (873)------------------------------
% 5.63/1.19 % (873)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.63/1.19 % (873)Termination reason: Unknown
% 5.63/1.19 % (873)Termination phase: Property scanning
% 5.63/1.19
% 5.63/1.19 % (873)Memory used [KB]: 1407
% 5.63/1.19 % (873)Time elapsed: 0.023 s
% 5.63/1.19 % (873)Instructions burned: 50 (million)
% 5.63/1.19 % (873)------------------------------
% 5.63/1.19 % (873)------------------------------
% 5.63/1.19 % (877)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on theBenchmark for (2992ds/204Mi)
% 5.63/1.21 % (871)Instruction limit reached!
% 5.63/1.21 % (871)------------------------------
% 5.63/1.21 % (871)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.63/1.21 % (871)Termination reason: Unknown
% 5.63/1.21 % (871)Termination phase: Saturation
% 5.63/1.21
% 5.63/1.21 % (871)Memory used [KB]: 6268
% 5.63/1.21 % (871)Time elapsed: 0.069 s
% 5.63/1.21 % (871)Instructions burned: 184 (million)
% 5.63/1.21 % (871)------------------------------
% 5.63/1.21 % (871)------------------------------
% 5.63/1.21 % (878)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2992ds/26Mi)
% 5.87/1.22 % (878)Instruction limit reached!
% 5.87/1.22 % (878)------------------------------
% 5.87/1.22 % (878)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.87/1.22 % (878)Termination reason: Unknown
% 5.87/1.22 % (878)Termination phase: Property scanning
% 5.87/1.22
% 5.87/1.22 % (878)Memory used [KB]: 1407
% 5.87/1.22 % (878)Time elapsed: 0.013 s
% 5.87/1.22 % (878)Instructions burned: 26 (million)
% 5.87/1.22 % (878)------------------------------
% 5.87/1.22 % (878)------------------------------
% 5.87/1.22 % (879)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on theBenchmark for (2992ds/53Mi)
% 5.92/1.24 % (880)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on theBenchmark for (2992ds/4436Mi)
% 5.92/1.24 % (879)Instruction limit reached!
% 5.92/1.24 % (879)------------------------------
% 5.92/1.24 % (879)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.92/1.24 % (879)Termination reason: Unknown
% 5.92/1.24 % (879)Termination phase: Property scanning
% 5.92/1.24
% 5.92/1.24 % (879)Memory used [KB]: 1407
% 5.92/1.24 % (879)Time elapsed: 0.024 s
% 5.92/1.24 % (879)Instructions burned: 53 (million)
% 5.92/1.24 % (879)------------------------------
% 5.92/1.24 % (879)------------------------------
% 5.92/1.24 % (877)Instruction limit reached!
% 5.92/1.24 % (877)------------------------------
% 5.92/1.24 % (877)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.92/1.24 % (877)Termination reason: Unknown
% 5.92/1.24 % (877)Termination phase: Saturation
% 5.92/1.24
% 5.92/1.24 % (877)Memory used [KB]: 6652
% 5.92/1.24 % (877)Time elapsed: 0.053 s
% 5.92/1.24 % (877)Instructions burned: 206 (million)
% 5.92/1.24 % (877)------------------------------
% 5.92/1.24 % (877)------------------------------
% 5.92/1.25 % (876)Instruction limit reached!
% 5.92/1.25 % (876)------------------------------
% 5.92/1.25 % (876)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.92/1.25 % (876)Termination reason: Unknown
% 5.92/1.25 % (876)Termination phase: Saturation
% 5.92/1.25
% 5.92/1.25 % (876)Memory used [KB]: 6652
% 5.92/1.25 % (876)Time elapsed: 0.059 s
% 5.92/1.25 % (876)Instructions burned: 267 (million)
% 5.92/1.25 % (876)------------------------------
% 5.92/1.25 % (876)------------------------------
% 5.92/1.25 % (882)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on theBenchmark for (2991ds/408Mi)
% 5.92/1.26 % (883)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on theBenchmark for (2991ds/5205Mi)
% 5.92/1.26 % (881)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on theBenchmark for (2991ds/1539Mi)
% 5.92/1.31 % (874)Instruction limit reached!
% 5.92/1.31 % (874)------------------------------
% 5.92/1.31 % (874)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.92/1.31 % (874)Termination reason: Unknown
% 5.92/1.31 % (874)Termination phase: Saturation
% 5.92/1.31
% 5.92/1.31 % (874)Memory used [KB]: 7036
% 5.92/1.31 % (874)Time elapsed: 0.143 s
% 5.92/1.31 % (874)Instructions burned: 369 (million)
% 5.92/1.31 % (874)------------------------------
% 5.92/1.31 % (874)------------------------------
% 6.31/1.32 % (870)Instruction limit reached!
% 6.31/1.32 % (870)------------------------------
% 6.31/1.32 % (870)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.31/1.32 % (870)Termination reason: Unknown
% 6.31/1.32 % (870)Termination phase: Saturation
% 6.31/1.32
% 6.31/1.32 % (870)Memory used [KB]: 7675
% 6.31/1.32 % (870)Time elapsed: 0.201 s
% 6.31/1.32 % (870)Instructions burned: 922 (million)
% 6.31/1.32 % (870)------------------------------
% 6.31/1.32 % (870)------------------------------
% 6.31/1.33 % (884)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on theBenchmark for (2991ds/1913Mi)
% 6.31/1.33 % (885)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on theBenchmark for (2991ds/4350Mi)
% 6.31/1.37 % (863)Instruction limit reached!
% 6.31/1.37 % (863)------------------------------
% 6.31/1.37 % (863)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.31/1.37 % (863)Termination reason: Unknown
% 6.31/1.37 % (863)Termination phase: Saturation
% 6.31/1.37
% 6.31/1.37 % (863)Memory used [KB]: 6780
% 6.31/1.37 % (863)Time elapsed: 0.332 s
% 6.31/1.37 % (863)Instructions burned: 989 (million)
% 6.31/1.37 % (863)------------------------------
% 6.31/1.37 % (863)------------------------------
% 6.60/1.39 % (882)Instruction limit reached!
% 6.60/1.39 % (882)------------------------------
% 6.60/1.39 % (882)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.60/1.39 % (882)Termination reason: Unknown
% 6.60/1.39 % (882)Termination phase: Saturation
% 6.60/1.39
% 6.60/1.39 % (882)Memory used [KB]: 6012
% 6.60/1.39 % (882)Time elapsed: 0.137 s
% 6.60/1.39 % (882)Instructions burned: 408 (million)
% 6.60/1.39 % (882)------------------------------
% 6.60/1.39 % (882)------------------------------
% 6.60/1.39 % (886)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on theBenchmark for (2990ds/68Mi)
% 6.60/1.41 % (887)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on theBenchmark for (2990ds/358Mi)
% 6.60/1.41 % (886)Instruction limit reached!
% 6.60/1.41 % (886)------------------------------
% 6.60/1.41 % (886)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.60/1.41 % (886)Termination reason: Unknown
% 6.60/1.41 % (886)Termination phase: Property scanning
% 6.60/1.41
% 6.60/1.41 % (886)Memory used [KB]: 1407
% 6.60/1.41 % (886)Time elapsed: 0.020 s
% 6.60/1.41 % (886)Instructions burned: 69 (million)
% 6.60/1.41 % (886)------------------------------
% 6.60/1.41 % (886)------------------------------
% 6.60/1.42 % (888)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2990ds/31Mi)
% 6.60/1.44 % (888)Instruction limit reached!
% 6.60/1.44 % (888)------------------------------
% 6.60/1.44 % (888)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.60/1.44 % (888)Termination reason: Unknown
% 6.60/1.44 % (888)Termination phase: Property scanning
% 6.60/1.44
% 6.60/1.44 % (888)Memory used [KB]: 1407
% 6.60/1.44 % (888)Time elapsed: 0.015 s
% 6.60/1.44 % (888)Instructions burned: 31 (million)
% 6.60/1.44 % (888)------------------------------
% 6.60/1.44 % (888)------------------------------
% 6.60/1.45 % (887)Refutation not found, incomplete strategy
% 6.60/1.45 % (887)------------------------------
% 6.60/1.45 % (887)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.60/1.45 % (887)Termination reason: Refutation not found, incomplete strategy
% 6.60/1.45
% 6.60/1.45
% 6.60/1.45 % (887)Memory used [KB]: 6140
% 6.60/1.45 % (887)Time elapsed: 0.049 s
% 6.60/1.45 % (887)Instructions burned: 105 (million)
% 6.60/1.45 % (887)------------------------------
% 6.60/1.45 % (887)------------------------------
% 6.88/1.46 % (889)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on theBenchmark for (2989ds/279Mi)
% 6.88/1.47 % (890)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on theBenchmark for (2989ds/258Mi)
% 6.88/1.50 % (875)Instruction limit reached!
% 6.88/1.50 % (875)------------------------------
% 6.88/1.50 % (875)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.88/1.50 % (875)Termination reason: Unknown
% 6.88/1.50 % (875)Termination phase: Saturation
% 6.88/1.50
% 6.88/1.50 % (875)Memory used [KB]: 6780
% 6.88/1.50 % (875)Time elapsed: 0.329 s
% 6.88/1.50 % (875)Instructions burned: 1021 (million)
% 6.88/1.50 % (875)------------------------------
% 6.88/1.50 % (875)------------------------------
% 7.22/1.53 % (891)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2989ds/26Mi)
% 7.22/1.54 % (891)Instruction limit reached!
% 7.22/1.54 % (891)------------------------------
% 7.22/1.54 % (891)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.22/1.54 % (891)Termination reason: Unknown
% 7.22/1.54 % (891)Termination phase: Property scanning
% 7.22/1.54
% 7.22/1.54 % (891)Memory used [KB]: 1407
% 7.22/1.54 % (891)Time elapsed: 0.014 s
% 7.22/1.54 % (891)Instructions burned: 27 (million)
% 7.22/1.54 % (891)------------------------------
% 7.22/1.54 % (891)------------------------------
% 7.22/1.55 % (889)Refutation not found, incomplete strategy
% 7.22/1.55 % (889)------------------------------
% 7.22/1.55 % (889)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.22/1.55 % (889)Termination reason: Refutation not found, incomplete strategy
% 7.22/1.55
% 7.22/1.55
% 7.22/1.55 % (889)Memory used [KB]: 6652
% 7.22/1.55 % (889)Time elapsed: 0.091 s
% 7.22/1.55 % (889)Instructions burned: 238 (million)
% 7.22/1.55 % (889)------------------------------
% 7.22/1.55 % (889)------------------------------
% 7.22/1.55 % (892)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on theBenchmark for (2988ds/995Mi)
% 7.22/1.56 % (890)Instruction limit reached!
% 7.22/1.56 % (890)------------------------------
% 7.22/1.56 % (890)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.22/1.56 % (890)Termination reason: Unknown
% 7.22/1.56 % (890)Termination phase: Saturation
% 7.22/1.56
% 7.22/1.56 % (890)Memory used [KB]: 6780
% 7.22/1.56 % (890)Time elapsed: 0.095 s
% 7.22/1.56 % (890)Instructions burned: 258 (million)
% 7.22/1.56 % (890)------------------------------
% 7.22/1.56 % (890)------------------------------
% 7.22/1.57 % (893)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on theBenchmark for (2988ds/373Mi)
% 7.22/1.57 % (894)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on theBenchmark for (2988ds/253Mi)
% 7.22/1.61 % (881)Instruction limit reached!
% 7.22/1.61 % (881)------------------------------
% 7.22/1.61 % (881)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.22/1.61 % (881)Termination reason: Unknown
% 7.22/1.61 % (881)Termination phase: Saturation
% 7.22/1.61
% 7.22/1.61 % (881)Memory used [KB]: 7675
% 7.22/1.61 % (881)Time elapsed: 0.347 s
% 7.22/1.61 % (881)Instructions burned: 1539 (million)
% 7.22/1.61 % (881)------------------------------
% 7.22/1.61 % (881)------------------------------
% 7.81/1.63 % (895)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on theBenchmark for (2988ds/832Mi)
% 7.81/1.63 % (894)Instruction limit reached!
% 7.81/1.63 % (894)------------------------------
% 7.81/1.63 % (894)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.81/1.63 % (894)Termination reason: Unknown
% 7.81/1.63 % (894)Termination phase: Saturation
% 7.81/1.63
% 7.81/1.63 % (894)Memory used [KB]: 6780
% 7.81/1.63 % (894)Time elapsed: 0.058 s
% 7.81/1.63 % (894)Instructions burned: 253 (million)
% 7.81/1.63 % (894)------------------------------
% 7.81/1.63 % (894)------------------------------
% 7.81/1.64 % (896)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on theBenchmark for (2988ds/668Mi)
% 7.81/1.65 % (895)Refutation not found, incomplete strategy
% 7.81/1.65 % (895)------------------------------
% 7.81/1.65 % (895)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.81/1.65 % (895)Termination reason: Refutation not found, incomplete strategy
% 7.81/1.65
% 7.81/1.65
% 7.81/1.65 % (895)Memory used [KB]: 5884
% 7.81/1.65 % (895)Time elapsed: 0.023 s
% 7.81/1.65 % (895)Instructions burned: 47 (million)
% 7.81/1.65 % (895)------------------------------
% 7.81/1.65 % (895)------------------------------
% 7.81/1.67 % (897)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on theBenchmark for (2987ds/40Mi)
% 9.85/1.69 % (897)Instruction limit reached!
% 9.85/1.69 % (897)------------------------------
% 9.85/1.69 % (897)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.85/1.69 % (897)Termination reason: Unknown
% 9.85/1.69 % (897)Termination phase: Property scanning
% 9.85/1.69
% 9.85/1.69 % (897)Memory used [KB]: 1407
% 9.85/1.69 % (897)Time elapsed: 0.014 s
% 9.85/1.69 % (897)Instructions burned: 43 (million)
% 9.85/1.69 % (897)------------------------------
% 9.85/1.69 % (897)------------------------------
% 9.85/1.70 % (898)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on theBenchmark for (2987ds/294Mi)
% 9.85/1.72 % (893)Instruction limit reached!
% 9.85/1.72 % (893)------------------------------
% 9.85/1.72 % (893)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.85/1.72 % (893)Termination reason: Unknown
% 9.85/1.72 % (893)Termination phase: Saturation
% 9.85/1.72
% 9.85/1.72 % (893)Memory used [KB]: 7164
% 9.85/1.72 % (893)Time elapsed: 0.149 s
% 9.85/1.72 % (893)Instructions burned: 373 (million)
% 9.85/1.72 % (893)------------------------------
% 9.85/1.72 % (893)------------------------------
% 9.85/1.74 % (899)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on theBenchmark for (2987ds/187Mi)
% 10.36/1.77 % (898)Instruction limit reached!
% 10.36/1.77 % (898)------------------------------
% 10.36/1.77 % (898)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.36/1.77 % (898)Termination reason: Unknown
% 10.36/1.77 % (898)Termination phase: Saturation
% 10.36/1.77
% 10.36/1.77 % (898)Memory used [KB]: 6908
% 10.36/1.77 % (898)Time elapsed: 0.074 s
% 10.36/1.77 % (898)Instructions burned: 298 (million)
% 10.36/1.77 % (898)------------------------------
% 10.36/1.77 % (898)------------------------------
% 10.36/1.78 % (900)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on theBenchmark for (2986ds/371Mi)
% 10.54/1.79 % (899)Instruction limit reached!
% 10.54/1.79 % (899)------------------------------
% 10.54/1.79 % (899)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.54/1.79 % (899)Termination reason: Unknown
% 10.54/1.79 % (899)Termination phase: Saturation
% 10.54/1.79
% 10.54/1.79 % (899)Memory used [KB]: 6652
% 10.54/1.79 % (899)Time elapsed: 0.049 s
% 10.54/1.79 % (899)Instructions burned: 190 (million)
% 10.54/1.79 % (899)------------------------------
% 10.54/1.79 % (899)------------------------------
% 10.54/1.80 % (901)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on theBenchmark for (2986ds/1827Mi)
% 10.54/1.81 % (900)Refutation not found, incomplete strategy
% 10.54/1.81 % (900)------------------------------
% 10.54/1.81 % (900)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.54/1.81 % (900)Termination reason: Refutation not found, incomplete strategy
% 10.54/1.81
% 10.54/1.81
% 10.54/1.81 % (900)Memory used [KB]: 6140
% 10.54/1.81 % (900)Time elapsed: 0.047 s
% 10.54/1.81 % (900)Instructions burned: 82 (million)
% 10.54/1.81 % (900)------------------------------
% 10.54/1.81 % (900)------------------------------
% 10.81/1.82 % (902)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on theBenchmark for (2986ds/70Mi)
% 10.81/1.82 % (896)Instruction limit reached!
% 10.81/1.82 % (896)------------------------------
% 10.81/1.82 % (896)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.81/1.82 % (896)Termination reason: Unknown
% 10.81/1.82 % (896)Termination phase: Saturation
% 10.81/1.82
% 10.81/1.82 % (896)Memory used [KB]: 11257
% 10.81/1.82 % (896)Time elapsed: 0.170 s
% 10.81/1.82 % (896)Instructions burned: 668 (million)
% 10.81/1.82 % (896)------------------------------
% 10.81/1.82 % (896)------------------------------
% 10.87/1.83 % (902)Instruction limit reached!
% 10.87/1.83 % (902)------------------------------
% 10.87/1.83 % (902)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.87/1.83 % (902)Termination reason: Unknown
% 10.87/1.83 % (902)Termination phase: Property scanning
% 10.87/1.83
% 10.87/1.83 % (902)Memory used [KB]: 1407
% 10.87/1.83 % (902)Time elapsed: 0.019 s
% 10.87/1.83 % (902)Instructions burned: 70 (million)
% 10.87/1.83 % (902)------------------------------
% 10.87/1.83 % (902)------------------------------
% 10.87/1.83 % (903)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on theBenchmark for (2986ds/316Mi)
% 10.87/1.84 % (880)Refutation not found, incomplete strategy
% 10.87/1.84 % (880)------------------------------
% 10.87/1.84 % (880)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.87/1.84 % (880)Termination reason: Refutation not found, incomplete strategy
% 10.87/1.84
% 10.87/1.84
% 10.87/1.84 % (880)Memory used [KB]: 9722
% 10.87/1.84 % (880)Time elapsed: 0.601 s
% 10.87/1.84 % (880)Instructions burned: 2113 (million)
% 10.87/1.84 % (880)------------------------------
% 10.87/1.84 % (880)------------------------------
% 10.87/1.84 % (904)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on theBenchmark for (2985ds/932Mi)
% 10.87/1.86 % (905)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on theBenchmark for (2985ds/4714Mi)
% 10.87/1.89 % (892)Instruction limit reached!
% 10.87/1.89 % (892)------------------------------
% 10.87/1.89 % (892)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.87/1.89 % (892)Termination reason: Unknown
% 10.87/1.89 % (892)Termination phase: Saturation
% 10.87/1.89
% 10.87/1.89 % (892)Memory used [KB]: 7675
% 10.87/1.89 % (892)Time elapsed: 0.341 s
% 10.87/1.89 % (892)Instructions burned: 997 (million)
% 10.87/1.89 % (892)------------------------------
% 10.87/1.89 % (892)------------------------------
% 11.24/1.91 % (908)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on theBenchmark for (2985ds/8250Mi)
% 11.24/1.95 % (903)Instruction limit reached!
% 11.24/1.95 % (903)------------------------------
% 11.24/1.95 % (903)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.24/1.95 % (903)Termination reason: Unknown
% 11.24/1.95 % (903)Termination phase: Saturation
% 11.24/1.95
% 11.24/1.95 % (903)Memory used [KB]: 7419
% 11.24/1.95 % (903)Time elapsed: 0.119 s
% 11.24/1.95 % (903)Instructions burned: 318 (million)
% 11.24/1.95 % (903)------------------------------
% 11.24/1.95 % (903)------------------------------
% 11.24/1.97 % (909)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on theBenchmark for (2984ds/770Mi)
% 11.24/1.97 % (884)Instruction limit reached!
% 11.24/1.97 % (884)------------------------------
% 11.24/1.97 % (884)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.24/1.97 % (884)Termination reason: Unknown
% 11.24/1.97 % (884)Termination phase: Saturation
% 11.24/1.97
% 11.24/1.97 % (884)Memory used [KB]: 3965
% 11.24/1.97 % (884)Time elapsed: 0.649 s
% 11.24/1.97 % (884)Instructions burned: 1914 (million)
% 11.24/1.97 % (884)------------------------------
% 11.24/1.97 % (884)------------------------------
% 11.60/1.99 % (910)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on theBenchmark for (2984ds/794Mi)
% 11.60/2.03 % (904)Instruction limit reached!
% 11.60/2.03 % (904)------------------------------
% 11.60/2.03 % (904)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.60/2.03 % (904)Termination reason: Unknown
% 11.60/2.03 % (904)Termination phase: Saturation
% 11.60/2.03
% 11.60/2.03 % (904)Memory used [KB]: 7419
% 11.60/2.03 % (904)Time elapsed: 0.187 s
% 11.60/2.03 % (904)Instructions burned: 937 (million)
% 11.60/2.03 % (904)------------------------------
% 11.60/2.03 % (904)------------------------------
% 11.60/2.04 % (911)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on theBenchmark for (2983ds/464Mi)
% 12.03/2.11 % (909)Refutation not found, incomplete strategy
% 12.03/2.11 % (909)------------------------------
% 12.03/2.11 % (909)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.03/2.11 % (909)Termination reason: Refutation not found, incomplete strategy
% 12.03/2.11
% 12.03/2.11
% 12.03/2.11 % (909)Memory used [KB]: 6268
% 12.03/2.11 % (909)Time elapsed: 0.140 s
% 12.03/2.11 % (909)Instructions burned: 415 (million)
% 12.03/2.11 % (909)------------------------------
% 12.03/2.11 % (909)------------------------------
% 12.23/2.12 % (913)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on theBenchmark for (2983ds/1376Mi)
% 12.25/2.18 % (911)Instruction limit reached!
% 12.25/2.18 % (911)------------------------------
% 12.25/2.18 % (911)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.25/2.18 % (911)Termination reason: Unknown
% 12.25/2.18 % (911)Termination phase: Saturation
% 12.25/2.18
% 12.25/2.18 % (911)Memory used [KB]: 7164
% 12.25/2.18 % (911)Time elapsed: 0.139 s
% 12.25/2.18 % (911)Instructions burned: 465 (million)
% 12.25/2.18 % (911)------------------------------
% 12.25/2.18 % (911)------------------------------
% 12.25/2.19 % (914)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on theBenchmark for (2982ds/906Mi)
% 14.03/2.27 % (910)Instruction limit reached!
% 14.03/2.27 % (910)------------------------------
% 14.03/2.27 % (910)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.03/2.27 % (910)Termination reason: Unknown
% 14.03/2.27 % (910)Termination phase: Saturation
% 14.03/2.27
% 14.03/2.27 % (910)Memory used [KB]: 3070
% 14.03/2.27 % (910)Time elapsed: 0.281 s
% 14.03/2.27 % (910)Instructions burned: 795 (million)
% 14.03/2.27 % (910)------------------------------
% 14.03/2.27 % (910)------------------------------
% 14.03/2.28 % (915)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on theBenchmark for (2981ds/434Mi)
% 14.63/2.39 % (915)Instruction limit reached!
% 14.63/2.39 % (915)------------------------------
% 14.63/2.39 % (915)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.63/2.39 % (915)Termination reason: Unknown
% 14.63/2.39 % (915)Termination phase: Saturation
% 14.63/2.39
% 14.63/2.39 % (915)Memory used [KB]: 6012
% 14.63/2.39 % (915)Time elapsed: 0.107 s
% 14.63/2.39 % (915)Instructions burned: 434 (million)
% 14.63/2.39 % (915)------------------------------
% 14.63/2.39 % (915)------------------------------
% 15.25/2.40 % (916)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on theBenchmark for (2980ds/865Mi)
% 15.25/2.42 % (914)Instruction limit reached!
% 15.25/2.42 % (914)------------------------------
% 15.25/2.42 % (914)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.25/2.42 % (914)Termination reason: Unknown
% 15.25/2.42 % (914)Termination phase: Saturation
% 15.25/2.42
% 15.25/2.42 % (914)Memory used [KB]: 8059
% 15.25/2.42 % (914)Time elapsed: 0.221 s
% 15.25/2.42 % (914)Instructions burned: 910 (million)
% 15.25/2.42 % (914)------------------------------
% 15.25/2.42 % (914)------------------------------
% 15.25/2.43 % (917)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on theBenchmark for (2980ds/593Mi)
% 15.25/2.43 % (913)Instruction limit reached!
% 15.25/2.43 % (913)------------------------------
% 15.25/2.43 % (913)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.25/2.43 % (913)Termination reason: Unknown
% 15.25/2.43 % (913)Termination phase: Saturation
% 15.25/2.43
% 15.25/2.43 % (913)Memory used [KB]: 7675
% 15.25/2.43 % (913)Time elapsed: 0.305 s
% 15.25/2.43 % (913)Instructions burned: 1376 (million)
% 15.25/2.43 % (913)------------------------------
% 15.25/2.43 % (913)------------------------------
% 15.25/2.44 % (918)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on theBenchmark for (2979ds/443Mi)
% 15.25/2.46 % (901)Instruction limit reached!
% 15.25/2.46 % (901)------------------------------
% 15.25/2.46 % (901)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.25/2.46 % (901)Termination reason: Unknown
% 15.25/2.46 % (901)Termination phase: Saturation
% 15.25/2.46
% 15.25/2.46 % (901)Memory used [KB]: 9210
% 15.25/2.46 % (901)Time elapsed: 0.682 s
% 15.25/2.46 % (901)Instructions burned: 1827 (million)
% 15.25/2.46 % (901)------------------------------
% 15.25/2.46 % (901)------------------------------
% 15.25/2.47 % (919)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on theBenchmark for (2979ds/594Mi)
% 15.25/2.48 % (916)Refutation not found, incomplete strategy
% 15.25/2.48 % (916)------------------------------
% 15.25/2.48 % (916)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.25/2.48 % (916)Termination reason: Refutation not found, incomplete strategy
% 15.25/2.48
% 15.25/2.48
% 15.25/2.48 % (916)Memory used [KB]: 6268
% 15.25/2.48 % (916)Time elapsed: 0.076 s
% 15.25/2.48 % (916)Instructions burned: 171 (million)
% 15.25/2.48 % (916)------------------------------
% 15.25/2.48 % (916)------------------------------
% 16.05/2.50 % (920)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on theBenchmark for (2979ds/327Mi)
% 16.09/2.53 % (918)Instruction limit reached!
% 16.09/2.53 % (918)------------------------------
% 16.09/2.53 % (918)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.09/2.53 % (918)Termination reason: Unknown
% 16.09/2.53 % (918)Termination phase: Saturation
% 16.09/2.53
% 16.09/2.53 % (918)Memory used [KB]: 6652
% 16.09/2.53 % (918)Time elapsed: 0.093 s
% 16.09/2.53 % (918)Instructions burned: 446 (million)
% 16.09/2.53 % (918)------------------------------
% 16.09/2.53 % (918)------------------------------
% 16.09/2.54 % (921)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on theBenchmark for (2978ds/5411Mi)
% 16.09/2.55 % (917)Instruction limit reached!
% 16.09/2.55 % (917)------------------------------
% 16.09/2.55 % (917)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.09/2.55 % (917)Termination reason: Unknown
% 16.09/2.55 % (917)Termination phase: Saturation
% 16.09/2.55
% 16.09/2.55 % (917)Memory used [KB]: 6780
% 16.09/2.55 % (917)Time elapsed: 0.122 s
% 16.09/2.55 % (917)Instructions burned: 594 (million)
% 16.09/2.55 % (917)------------------------------
% 16.09/2.55 % (917)------------------------------
% 16.09/2.56 % (922)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on theBenchmark for (2978ds/1762Mi)
% 16.09/2.56 % (921)Refutation not found, incomplete strategy
% 16.09/2.56 % (921)------------------------------
% 16.09/2.56 % (921)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.09/2.56 % (921)Termination reason: Refutation not found, incomplete strategy
% 16.09/2.56
% 16.09/2.56
% 16.09/2.56 % (921)Memory used [KB]: 6140
% 16.09/2.56 % (921)Time elapsed: 0.022 s
% 16.09/2.56 % (921)Instructions burned: 68 (million)
% 16.09/2.56 % (921)------------------------------
% 16.09/2.56 % (921)------------------------------
% 16.09/2.58 % (923)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on theBenchmark for (2978ds/96Mi)
% 16.75/2.60 % (919)Refutation not found, incomplete strategy
% 16.75/2.60 % (919)------------------------------
% 16.75/2.60 % (919)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.75/2.60 % (919)Termination reason: Refutation not found, incomplete strategy
% 16.75/2.60
% 16.75/2.60
% 16.75/2.60 % (919)Memory used [KB]: 6140
% 16.75/2.60 % (919)Time elapsed: 0.148 s
% 16.75/2.60 % (919)Instructions burned: 306 (million)
% 16.75/2.60 % (919)------------------------------
% 16.75/2.60 % (919)------------------------------
% 16.75/2.61 % (924)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on theBenchmark for (2978ds/503Mi)
% 16.75/2.62 % (923)Instruction limit reached!
% 16.75/2.62 % (923)------------------------------
% 16.75/2.62 % (923)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.75/2.62 % (923)Termination reason: Unknown
% 16.75/2.62 % (923)Termination phase: Saturation
% 16.75/2.62
% 16.75/2.62 % (923)Memory used [KB]: 6140
% 16.75/2.62 % (923)Time elapsed: 0.042 s
% 16.75/2.62 % (923)Instructions burned: 98 (million)
% 16.75/2.62 % (923)------------------------------
% 16.75/2.62 % (923)------------------------------
% 16.75/2.63 % (885)Refutation not found, incomplete strategy
% 16.75/2.63 % (885)------------------------------
% 16.75/2.63 % (885)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.75/2.63 % (885)Termination reason: Refutation not found, incomplete strategy
% 16.75/2.63
% 16.75/2.63
% 16.75/2.63 % (885)Memory used [KB]: 10106
% 16.75/2.63 % (885)Time elapsed: 1.304 s
% 16.75/2.63 % (885)Instructions burned: 3901 (million)
% 16.75/2.63 % (885)------------------------------
% 16.75/2.63 % (885)------------------------------
% 16.75/2.64 % (925)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2977ds/90Mi)
% 16.75/2.64 % (926)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on theBenchmark for (2977ds/593Mi)
% 16.75/2.66 % (920)Instruction limit reached!
% 16.75/2.66 % (920)------------------------------
% 16.75/2.66 % (920)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.75/2.66 % (920)Termination reason: Unknown
% 16.75/2.66 % (920)Termination phase: Saturation
% 16.75/2.66
% 16.75/2.66 % (920)Memory used [KB]: 7291
% 16.75/2.66 % (920)Time elapsed: 0.193 s
% 16.75/2.66 % (920)Instructions burned: 328 (million)
% 16.75/2.66 % (920)------------------------------
% 16.75/2.66 % (920)------------------------------
% 16.75/2.68 % (925)Instruction limit reached!
% 16.75/2.68 % (925)------------------------------
% 16.75/2.68 % (925)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.75/2.68 % (925)Termination reason: Unknown
% 16.75/2.68 % (925)Termination phase: Saturation
% 16.75/2.68
% 16.75/2.68 % (925)Memory used [KB]: 6140
% 16.75/2.68 % (925)Time elapsed: 0.040 s
% 16.75/2.68 % (925)Instructions burned: 91 (million)
% 16.75/2.68 % (925)------------------------------
% 16.75/2.68 % (925)------------------------------
% 17.51/2.69 % (927)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on theBenchmark for (2977ds/1512Mi)
% 17.51/2.69 % (928)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on theBenchmark for (2977ds/569Mi)
% 17.51/2.71 % (927)Refutation not found, incomplete strategy
% 17.51/2.71 % (927)------------------------------
% 17.51/2.71 % (927)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.51/2.71 % (927)Termination reason: Refutation not found, incomplete strategy
% 17.51/2.71
% 17.51/2.71
% 17.51/2.71 % (927)Memory used [KB]: 6012
% 17.51/2.71 % (927)Time elapsed: 0.025 s
% 17.51/2.71 % (927)Instructions burned: 53 (million)
% 17.51/2.71 % (927)------------------------------
% 17.51/2.71 % (927)------------------------------
% 17.51/2.74 % (929)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on theBenchmark for (2977ds/501Mi)
% 17.51/2.77 % (926)Instruction limit reached!
% 17.51/2.77 % (926)------------------------------
% 17.51/2.77 % (926)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.51/2.77 % (926)Termination reason: Unknown
% 17.51/2.77 % (926)Termination phase: Saturation
% 17.51/2.77
% 17.51/2.77 % (926)Memory used [KB]: 7675
% 17.51/2.77 % (926)Time elapsed: 0.128 s
% 17.51/2.77 % (926)Instructions burned: 593 (million)
% 17.51/2.77 % (926)------------------------------
% 17.51/2.77 % (926)------------------------------
% 17.51/2.78 % (930)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on theBenchmark for (2976ds/562Mi)
% 17.96/2.79 % (924)Instruction limit reached!
% 17.96/2.79 % (924)------------------------------
% 17.96/2.79 % (924)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.96/2.79 % (924)Termination reason: Unknown
% 17.96/2.79 % (924)Termination phase: Saturation
% 17.96/2.79
% 17.96/2.79 % (924)Memory used [KB]: 6268
% 17.96/2.79 % (924)Time elapsed: 0.209 s
% 17.96/2.79 % (924)Instructions burned: 503 (million)
% 17.96/2.79 % (924)------------------------------
% 17.96/2.79 % (924)------------------------------
% 17.99/2.81 % (931)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on theBenchmark for (2976ds/406Mi)
% 18.83/2.86 % (928)Instruction limit reached!
% 18.83/2.86 % (928)------------------------------
% 18.83/2.86 % (928)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.83/2.86 % (928)Termination reason: Unknown
% 18.83/2.86 % (928)Termination phase: Saturation
% 18.83/2.86
% 18.83/2.86 % (928)Memory used [KB]: 6652
% 18.83/2.86 % (928)Time elapsed: 0.163 s
% 18.83/2.86 % (928)Instructions burned: 570 (million)
% 18.83/2.86 % (928)------------------------------
% 18.83/2.86 % (928)------------------------------
% 18.83/2.87 % (883)Instruction limit reached!
% 18.83/2.87 % (883)------------------------------
% 18.83/2.87 % (883)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.83/2.87 % (883)Termination reason: Unknown
% 18.83/2.87 % (883)Termination phase: Saturation
% 18.83/2.87
% 18.83/2.87 % (883)Memory used [KB]: 12665
% 18.83/2.87 % (883)Time elapsed: 1.612 s
% 18.83/2.87 % (883)Instructions burned: 5206 (million)
% 18.83/2.87 % (883)------------------------------
% 18.83/2.87 % (883)------------------------------
% 18.83/2.87 % (932)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on theBenchmark for (2975ds/582Mi)
% 18.83/2.88 % (933)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on theBenchmark for (2975ds/456Mi)
% 19.47/2.92 % (922)Instruction limit reached!
% 19.47/2.92 % (922)------------------------------
% 19.47/2.92 % (922)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.47/2.92 % (922)Termination reason: Unknown
% 19.47/2.92 % (922)Termination phase: Saturation
% 19.47/2.92
% 19.47/2.92 % (922)Memory used [KB]: 8315
% 19.47/2.92 % (922)Time elapsed: 0.390 s
% 19.47/2.92 % (922)Instructions burned: 1762 (million)
% 19.47/2.92 % (922)------------------------------
% 19.47/2.92 % (922)------------------------------
% 19.47/2.92 % (929)Instruction limit reached!
% 19.47/2.92 % (929)------------------------------
% 19.47/2.92 % (929)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.47/2.92 % (929)Termination reason: Unknown
% 19.47/2.92 % (929)Termination phase: Saturation
% 19.47/2.92
% 19.47/2.92 % (929)Memory used [KB]: 7547
% 19.47/2.92 % (929)Time elapsed: 0.183 s
% 19.47/2.92 % (929)Instructions burned: 503 (million)
% 19.47/2.92 % (929)------------------------------
% 19.47/2.92 % (929)------------------------------
% 19.47/2.93 % (930)Instruction limit reached!
% 19.47/2.93 % (930)------------------------------
% 19.47/2.93 % (930)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.47/2.93 % (930)Termination reason: Unknown
% 19.47/2.93 % (930)Termination phase: Saturation
% 19.47/2.93
% 19.47/2.93 % (930)Memory used [KB]: 6780
% 19.47/2.93 % (930)Time elapsed: 0.140 s
% 19.47/2.93 % (930)Instructions burned: 564 (million)
% 19.47/2.93 % (930)------------------------------
% 19.47/2.93 % (930)------------------------------
% 19.47/2.93 % (934)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on theBenchmark for (2974ds/393Mi)
% 19.47/2.94 % (936)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on theBenchmark for (2974ds/3373Mi)
% 19.47/2.94 % (935)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on theBenchmark for (2974ds/1335Mi)
% 19.47/2.98 % (933)Instruction limit reached!
% 19.47/2.98 % (933)------------------------------
% 19.47/2.98 % (933)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.47/2.98 % (933)Termination reason: Unknown
% 19.47/2.98 % (933)Termination phase: Saturation
% 19.47/2.98
% 19.47/2.98 % (933)Memory used [KB]: 7547
% 19.47/2.98 % (933)Time elapsed: 0.100 s
% 19.47/2.98 % (933)Instructions burned: 460 (million)
% 19.47/2.98 % (933)------------------------------
% 19.47/2.98 % (933)------------------------------
% 19.47/2.98 % (935)Refutation not found, incomplete strategy
% 19.47/2.98 % (935)------------------------------
% 19.47/2.98 % (935)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.47/2.98 % (935)Termination reason: Refutation not found, incomplete strategy
% 19.47/2.98
% 19.47/2.98
% 19.47/2.98 % (935)Memory used [KB]: 6140
% 19.47/2.98 % (935)Time elapsed: 0.038 s
% 19.47/2.98 % (935)Instructions burned: 85 (million)
% 19.47/2.98 % (935)------------------------------
% 19.47/2.98 % (935)------------------------------
% 19.47/2.99 % (937)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on theBenchmark for (2974ds/474Mi)
% 19.88/3.00 % (938)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on theBenchmark for (2974ds/157Mi)
% 19.88/3.03 % (931)Instruction limit reached!
% 19.88/3.03 % (931)------------------------------
% 19.88/3.03 % (931)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.88/3.03 % (931)Termination reason: Unknown
% 19.88/3.03 % (931)Termination phase: Saturation
% 19.88/3.03
% 19.88/3.03 % (931)Memory used [KB]: 7164
% 19.88/3.03 % (931)Time elapsed: 0.214 s
% 19.88/3.03 % (931)Instructions burned: 406 (million)
% 19.88/3.03 % (931)------------------------------
% 19.88/3.03 % (931)------------------------------
% 19.88/3.04 % (934)Instruction limit reached!
% 19.88/3.04 % (934)------------------------------
% 19.88/3.04 % (934)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.88/3.04 % (934)Termination reason: Unknown
% 19.88/3.04 % (934)Termination phase: Saturation
% 19.88/3.04
% 19.88/3.04 % (934)Memory used [KB]: 7036
% 19.88/3.04 % (934)Time elapsed: 0.108 s
% 19.88/3.04 % (934)Instructions burned: 394 (million)
% 19.88/3.04 % (934)------------------------------
% 19.88/3.04 % (934)------------------------------
% 19.88/3.04 % (939)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on theBenchmark for (2973ds/590Mi)
% 19.88/3.05 % (940)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on theBenchmark for (2973ds/104Mi)
% 19.88/3.06 % (938)Instruction limit reached!
% 19.88/3.06 % (938)------------------------------
% 19.88/3.06 % (938)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.88/3.06 % (938)Termination reason: Unknown
% 19.88/3.06 % (938)Termination phase: Saturation
% 19.88/3.06
% 19.88/3.06 % (938)Memory used [KB]: 6524
% 19.88/3.06 % (938)Time elapsed: 0.065 s
% 19.88/3.06 % (938)Instructions burned: 159 (million)
% 19.88/3.06 % (938)------------------------------
% 19.88/3.06 % (938)------------------------------
% 20.29/3.07 % (940)Instruction limit reached!
% 20.29/3.07 % (940)------------------------------
% 20.29/3.07 % (940)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.29/3.07 % (940)Termination reason: Unknown
% 20.29/3.07 % (940)Termination phase: Saturation
% 20.29/3.07
% 20.29/3.07 % (940)Memory used [KB]: 1663
% 20.29/3.07 % (940)Time elapsed: 0.028 s
% 20.29/3.07 % (940)Instructions burned: 107 (million)
% 20.29/3.07 % (940)------------------------------
% 20.29/3.07 % (940)------------------------------
% 20.29/3.08 % (941)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on theBenchmark for (2973ds/414Mi)
% 20.29/3.08 % (932)Instruction limit reached!
% 20.29/3.08 % (932)------------------------------
% 20.29/3.08 % (932)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.29/3.08 % (932)Termination reason: Unknown
% 20.29/3.08 % (932)Termination phase: Saturation
% 20.29/3.08
% 20.29/3.08 % (932)Memory used [KB]: 7547
% 20.29/3.08 % (932)Time elapsed: 0.209 s
% 20.29/3.08 % (932)Instructions burned: 583 (million)
% 20.29/3.08 % (932)------------------------------
% 20.29/3.08 % (932)------------------------------
% 20.29/3.08 % (937)Instruction limit reached!
% 20.29/3.08 % (937)------------------------------
% 20.29/3.08 % (937)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.29/3.08 % (937)Termination reason: Unknown
% 20.29/3.08 % (937)Termination phase: Saturation
% 20.29/3.08
% 20.29/3.08 % (937)Memory used [KB]: 6652
% 20.29/3.08 % (937)Time elapsed: 0.098 s
% 20.29/3.08 % (937)Instructions burned: 478 (million)
% 20.29/3.08 % (937)------------------------------
% 20.29/3.08 % (937)------------------------------
% 20.29/3.08 % (942)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on theBenchmark for (2973ds/715Mi)
% 20.29/3.09 % (944)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on theBenchmark for (2973ds/1213Mi)
% 20.29/3.10 % (943)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on theBenchmark for (2973ds/961Mi)
% 20.96/3.23 % (942)Instruction limit reached!
% 20.96/3.23 % (942)------------------------------
% 20.96/3.23 % (942)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.96/3.23 % (942)Termination reason: Unknown
% 20.96/3.23 % (942)Termination phase: Saturation
% 20.96/3.23
% 20.96/3.23 % (942)Memory used [KB]: 2430
% 20.96/3.23 % (942)Time elapsed: 0.146 s
% 20.96/3.23 % (941)Instruction limit reached!
% 20.96/3.23 % (941)------------------------------
% 20.96/3.23 % (941)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.96/3.23 % (942)Instructions burned: 715 (million)
% 20.96/3.23 % (942)------------------------------
% 20.96/3.23 % (942)------------------------------
% 20.96/3.23 % (941)Termination reason: Unknown
% 20.96/3.23 % (941)Termination phase: Saturation
% 20.96/3.23
% 20.96/3.23 % (941)Memory used [KB]: 7547
% 20.96/3.23 % (941)Time elapsed: 0.151 s
% 20.96/3.23 % (941)Instructions burned: 414 (million)
% 20.96/3.23 % (941)------------------------------
% 20.96/3.23 % (941)------------------------------
% 20.96/3.24 % (945)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on theBenchmark for (2971ds/1979Mi)
% 20.96/3.25 % (946)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on theBenchmark for (2971ds/481Mi)
% 21.41/3.31 % (939)Instruction limit reached!
% 21.41/3.31 % (939)------------------------------
% 21.41/3.31 % (939)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 21.41/3.31 % (939)Termination reason: Unknown
% 21.41/3.31 % (939)Termination phase: Saturation
% 21.41/3.31
% 21.41/3.31 % (939)Memory used [KB]: 7803
% 21.41/3.31 % (939)Time elapsed: 0.266 s
% 21.41/3.31 % (939)Instructions burned: 591 (million)
% 21.41/3.31 % (939)------------------------------
% 21.41/3.31 % (939)------------------------------
% 21.41/3.33 % (947)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on theBenchmark for (2971ds/783Mi)
% 21.41/3.35 % (946)Instruction limit reached!
% 21.41/3.35 % (946)------------------------------
% 21.41/3.35 % (946)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 21.41/3.35 % (946)Termination reason: Unknown
% 21.41/3.35 % (946)Termination phase: Saturation
% 21.41/3.35
% 21.41/3.35 % (946)Memory used [KB]: 6652
% 21.41/3.35 % (946)Time elapsed: 0.104 s
% 21.41/3.35 % (946)Instructions burned: 483 (million)
% 21.41/3.35 % (946)------------------------------
% 21.41/3.35 % (946)------------------------------
% 21.94/3.37 % (948)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on theBenchmark for (2970ds/432Mi)
% 21.94/3.39 % (943)Instruction limit reached!
% 21.94/3.39 % (943)------------------------------
% 21.94/3.39 % (943)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 21.94/3.39 % (943)Termination reason: Unknown
% 21.94/3.39 % (943)Termination phase: Saturation
% 21.94/3.39
% 21.94/3.39 % (943)Memory used [KB]: 7803
% 21.94/3.39 % (943)Time elapsed: 0.284 s
% 21.94/3.39 % (943)Instructions burned: 963 (million)
% 21.94/3.39 % (943)------------------------------
% 21.94/3.39 % (943)------------------------------
% 23.23/3.40 % (949)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on theBenchmark for (2970ds/1670Mi)
% 23.67/3.47 % (905)First to succeed.
% 23.67/3.49 % (944)Instruction limit reached!
% 23.67/3.49 % (944)------------------------------
% 23.67/3.49 % (944)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 23.67/3.49 % (944)Termination reason: Unknown
% 23.67/3.49 % (944)Termination phase: Saturation
% 23.67/3.49
% 23.67/3.49 % (944)Memory used [KB]: 7291
% 23.67/3.49 % (944)Time elapsed: 0.402 s
% 23.67/3.49 % (944)Instructions burned: 1214 (million)
% 23.67/3.49 % (944)------------------------------
% 23.67/3.49 % (944)------------------------------
% 23.67/3.50 % (950)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on theBenchmark for (2969ds/90Mi)
% 24.13/3.52 % (950)Instruction limit reached!
% 24.13/3.52 % (950)------------------------------
% 24.13/3.52 % (950)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.13/3.52 % (950)Termination reason: Unknown
% 24.13/3.52 % (950)Termination phase: Saturation
% 24.13/3.52
% 24.13/3.52 % (950)Memory used [KB]: 6140
% 24.13/3.52 % (950)Time elapsed: 0.025 s
% 24.13/3.52 % (950)Instructions burned: 92 (million)
% 24.13/3.52 % (950)------------------------------
% 24.13/3.52 % (950)------------------------------
% 24.13/3.53 % (952)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on theBenchmark for (2969ds/346Mi)
% 24.13/3.55 % (948)Instruction limit reached!
% 24.13/3.55 % (948)------------------------------
% 24.13/3.55 % (948)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.13/3.55 % (948)Termination reason: Unknown
% 24.13/3.55 % (948)Termination phase: Saturation
% 24.13/3.55
% 24.13/3.55 % (948)Memory used [KB]: 6140
% 24.13/3.55 % (948)Time elapsed: 0.183 s
% 24.13/3.55 % (948)Instructions burned: 432 (million)
% 24.13/3.55 % (948)------------------------------
% 24.13/3.55 % (948)------------------------------
% 24.43/3.57 % (953)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on theBenchmark for (2968ds/401Mi)
% 24.43/3.58 % (947)Refutation not found, incomplete strategy
% 24.43/3.58 % (947)------------------------------
% 24.43/3.58 % (947)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.43/3.58 % (947)Termination reason: Refutation not found, incomplete strategy
% 24.43/3.58
% 24.43/3.58
% 24.43/3.58 % (947)Memory used [KB]: 6268
% 24.43/3.58 % (947)Time elapsed: 0.260 s
% 24.43/3.58 % (947)Instructions burned: 651 (million)
% 24.43/3.58 % (947)------------------------------
% 24.43/3.58 % (947)------------------------------
% 24.43/3.60 % (955)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on theBenchmark for (2968ds/6454Mi)
% 24.43/3.61 % (952)Instruction limit reached!
% 24.43/3.61 % (952)------------------------------
% 24.43/3.61 % (952)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.43/3.61 % (952)Termination reason: Unknown
% 24.43/3.61 % (952)Termination phase: Saturation
% 24.43/3.61
% 24.43/3.61 % (952)Memory used [KB]: 6780
% 24.43/3.61 % (952)Time elapsed: 0.076 s
% 24.43/3.61 % (952)Instructions burned: 350 (million)
% 24.43/3.61 % (952)------------------------------
% 24.43/3.61 % (952)------------------------------
% 24.43/3.62 % (956)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on theBenchmark for (2968ds/283Mi)
% 24.84/3.66 % (945)Instruction limit reached!
% 24.84/3.66 % (945)------------------------------
% 24.84/3.66 % (945)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.84/3.66 % (945)Termination reason: Unknown
% 24.84/3.66 % (945)Termination phase: Saturation
% 24.84/3.66
% 24.84/3.66 % (945)Memory used [KB]: 8315
% 24.84/3.66 % (945)Time elapsed: 0.414 s
% 24.84/3.66 % (945)Instructions burned: 1980 (million)
% 24.84/3.66 % (945)------------------------------
% 24.84/3.66 % (945)------------------------------
% 24.84/3.67 % (957)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on theBenchmark for (2967ds/865Mi)
% 24.94/3.68 % (956)Instruction limit reached!
% 24.94/3.68 % (956)------------------------------
% 24.94/3.68 % (956)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.94/3.68 % (956)Termination reason: Unknown
% 24.94/3.68 % (956)Termination phase: Saturation
% 24.94/3.68
% 24.94/3.68 % (956)Memory used [KB]: 6652
% 24.94/3.68 % (956)Time elapsed: 0.062 s
% 24.94/3.68 % (956)Instructions burned: 284 (million)
% 24.94/3.68 % (956)------------------------------
% 24.94/3.68 % (956)------------------------------
% 24.94/3.69 % (958)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on theBenchmark for (2967ds/4528Mi)
% 24.94/3.71 % (958)Refutation not found, incomplete strategy
% 24.94/3.71 % (958)------------------------------
% 24.94/3.71 % (958)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.94/3.71 % (958)Termination reason: Refutation not found, incomplete strategy
% 24.94/3.71
% 24.94/3.71
% 24.94/3.71 % (958)Memory used [KB]: 1663
% 24.94/3.71 % (958)Time elapsed: 0.021 s
% 24.94/3.71 % (958)Instructions burned: 73 (million)
% 24.94/3.71 % (958)------------------------------
% 24.94/3.71 % (958)------------------------------
% 24.94/3.71 % (953)Instruction limit reached!
% 24.94/3.71 % (953)------------------------------
% 24.94/3.71 % (953)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.94/3.71 % (953)Termination reason: Unknown
% 24.94/3.71 % (953)Termination phase: Saturation
% 24.94/3.71
% 24.94/3.71 % (953)Memory used [KB]: 6652
% 24.94/3.71 % (953)Time elapsed: 0.143 s
% 24.94/3.71 % (953)Instructions burned: 402 (million)
% 24.94/3.71 % (953)------------------------------
% 24.94/3.71 % (953)------------------------------
% 24.94/3.72 % (959)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on theBenchmark for (2967ds/1001Mi)
% 24.94/3.72 % (936)Instruction limit reached!
% 24.94/3.72 % (936)------------------------------
% 24.94/3.72 % (936)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.94/3.72 % (936)Termination reason: Unknown
% 24.94/3.72 % (936)Termination phase: Saturation
% 24.94/3.72
% 24.94/3.72 % (936)Memory used [KB]: 9978
% 24.94/3.72 % (936)Time elapsed: 0.755 s
% 24.94/3.72 % (936)Instructions burned: 3376 (million)
% 24.94/3.72 % (936)------------------------------
% 24.94/3.72 % (936)------------------------------
% 24.94/3.73 % (960)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on theBenchmark for (2967ds/102Mi)
% 25.39/3.73 % (961)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on theBenchmark for (2967ds/952Mi)
% 25.44/3.77 % (960)Instruction limit reached!
% 25.44/3.77 % (960)------------------------------
% 25.44/3.77 % (960)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.44/3.77 % (960)Termination reason: Unknown
% 25.44/3.77 % (960)Termination phase: Saturation
% 25.44/3.77
% 25.44/3.77 % (960)Memory used [KB]: 6140
% 25.44/3.77 % (960)Time elapsed: 0.043 s
% 25.44/3.77 % (960)Instructions burned: 103 (million)
% 25.44/3.77 % (960)------------------------------
% 25.44/3.77 % (960)------------------------------
% 25.44/3.78 % (962)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on theBenchmark for (2966ds/578Mi)
% 25.72/3.88 % (957)Instruction limit reached!
% 25.72/3.88 % (957)------------------------------
% 25.72/3.88 % (957)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.72/3.88 % (957)Termination reason: Unknown
% 25.72/3.88 % (957)Termination phase: Saturation
% 25.72/3.88
% 25.72/3.88 % (957)Memory used [KB]: 7931
% 25.72/3.88 % (957)Time elapsed: 0.215 s
% 25.72/3.88 % (957)Instructions burned: 867 (million)
% 25.72/3.88 % (957)------------------------------
% 25.72/3.88 % (957)------------------------------
% 25.72/3.89 % (971)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on theBenchmark for (2965ds/643Mi)
% 25.72/3.91 % (959)Instruction limit reached!
% 25.72/3.91 % (959)------------------------------
% 25.72/3.91 % (959)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.72/3.91 % (959)Termination reason: Unknown
% 25.72/3.91 % (959)Termination phase: Saturation
% 25.72/3.91
% 25.72/3.91 % (959)Memory used [KB]: 7547
% 25.72/3.91 % (959)Time elapsed: 0.198 s
% 25.72/3.91 % (959)Instructions burned: 1003 (million)
% 25.72/3.91 % (959)------------------------------
% 25.72/3.91 % (959)------------------------------
% 25.72/3.92 % (961)Instruction limit reached!
% 25.72/3.92 % (961)------------------------------
% 25.72/3.92 % (961)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.72/3.92 % (961)Termination reason: Unknown
% 25.72/3.92 % (961)Termination phase: Saturation
% 25.72/3.92
% 25.72/3.92 % (961)Memory used [KB]: 7675
% 25.72/3.92 % (961)Time elapsed: 0.193 s
% 25.72/3.92 % (961)Instructions burned: 955 (million)
% 25.72/3.92 % (961)------------------------------
% 25.72/3.92 % (961)------------------------------
% 25.72/3.92 % (972)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on theBenchmark for (2965ds/865Mi)
% 25.72/3.93 % (973)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on theBenchmark for (2964ds/1174Mi)
% 25.72/3.94 % (949)Instruction limit reached!
% 25.72/3.94 % (949)------------------------------
% 25.72/3.94 % (949)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.72/3.94 % (949)Termination reason: Unknown
% 25.72/3.94 % (949)Termination phase: Saturation
% 25.72/3.94
% 25.72/3.94 % (949)Memory used [KB]: 8187
% 25.72/3.94 % (949)Time elapsed: 0.545 s
% 25.72/3.94 % (949)Instructions burned: 1670 (million)
% 25.72/3.94 % (949)------------------------------
% 25.72/3.94 % (949)------------------------------
% 27.68/3.97 % (975)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on theBenchmark for (2964ds/644Mi)
% 28.39/4.07 % (905)Refutation found. Thanks to Tanya!
% 28.39/4.07 % SZS status Theorem for theBenchmark
% 28.39/4.07 % SZS output start Proof for theBenchmark
% 28.39/4.07 thf(type_def_5, type, mu: $tType).
% 28.39/4.07 thf(func_def_0, type, mu: $tType).
% 28.39/4.07 thf(func_def_1, type, qmltpeq: mu > mu > $i > $o).
% 28.39/4.07 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 28.39/4.07 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 28.39/4.07 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 28.39/4.07 thf(func_def_6, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 28.39/4.07 thf(func_def_7, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 28.39/4.07 thf(func_def_8, type, mtrue: $i > $o).
% 28.39/4.07 thf(func_def_9, type, mfalse: $i > $o).
% 28.39/4.07 thf(func_def_10, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 28.39/4.07 thf(func_def_11, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 28.39/4.07 thf(func_def_12, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 28.39/4.07 thf(func_def_13, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 28.39/4.07 thf(func_def_14, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 28.39/4.07 thf(func_def_15, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 28.39/4.07 thf(func_def_16, type, exists_in_world: mu > $i > $o).
% 28.39/4.07 thf(func_def_17, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 28.39/4.07 thf(func_def_18, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 28.39/4.07 thf(func_def_19, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 28.39/4.07 thf(func_def_20, type, mreflexive: ($i > $i > $o) > $o).
% 28.39/4.07 thf(func_def_21, type, msymmetric: ($i > $i > $o) > $o).
% 28.39/4.07 thf(func_def_22, type, mserial: ($i > $i > $o) > $o).
% 28.39/4.07 thf(func_def_23, type, mtransitive: ($i > $i > $o) > $o).
% 28.39/4.07 thf(func_def_24, type, meuclidean: ($i > $i > $o) > $o).
% 28.39/4.07 thf(func_def_25, type, mpartially_functional: ($i > $i > $o) > $o).
% 28.39/4.07 thf(func_def_26, type, mfunctional: ($i > $i > $o) > $o).
% 28.39/4.07 thf(func_def_27, type, mweakly_dense: ($i > $i > $o) > $o).
% 28.39/4.07 thf(func_def_28, type, mweakly_connected: ($i > $i > $o) > $o).
% 28.39/4.07 thf(func_def_29, type, mweakly_directed: ($i > $i > $o) > $o).
% 28.39/4.07 thf(func_def_30, type, mvalid: ($i > $o) > $o).
% 28.39/4.07 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 28.39/4.07 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 28.39/4.07 thf(func_def_33, type, minvalid: ($i > $o) > $o).
% 28.39/4.07 thf(func_def_34, type, rel_s4: $i > $i > $o).
% 28.39/4.07 thf(func_def_35, type, mbox_s4: ($i > $o) > $i > $o).
% 28.39/4.07 thf(func_def_36, type, mdia_s4: ($i > $o) > $i > $o).
% 28.39/4.07 thf(func_def_37, type, young: mu > $i > $o).
% 28.39/4.07 thf(func_def_38, type, man: mu > $i > $o).
% 28.39/4.07 thf(func_def_39, type, fellow: mu > $i > $o).
% 28.39/4.07 thf(func_def_40, type, in: mu > mu > $i > $o).
% 28.39/4.07 thf(func_def_41, type, down: mu > mu > $i > $o).
% 28.39/4.07 thf(func_def_42, type, barrel: mu > mu > $i > $o).
% 28.39/4.07 thf(func_def_43, type, old: mu > $i > $o).
% 28.39/4.07 thf(func_def_44, type, dirty: mu > $i > $o).
% 28.39/4.07 thf(func_def_45, type, white: mu > $i > $o).
% 28.39/4.07 thf(func_def_46, type, car: mu > $i > $o).
% 28.39/4.07 thf(func_def_47, type, chevy: mu > $i > $o).
% 28.39/4.07 thf(func_def_48, type, lonely: mu > $i > $o).
% 28.39/4.07 thf(func_def_49, type, way: mu > $i > $o).
% 28.39/4.07 thf(func_def_50, type, street: mu > $i > $o).
% 28.39/4.07 thf(func_def_51, type, event: mu > $i > $o).
% 28.39/4.07 thf(func_def_52, type, city: mu > $i > $o).
% 28.39/4.07 thf(func_def_53, type, hollywood: mu > $i > $o).
% 28.39/4.07 thf(func_def_54, type, front: mu > $i > $o).
% 28.39/4.07 thf(func_def_55, type, furniture: mu > $i > $o).
% 28.39/4.07 thf(func_def_56, type, seat: mu > $i > $o).
% 28.39/4.07 thf(func_def_78, type, ph1: !>[X0: $tType]:(X0)).
% 28.39/4.07 thf(func_def_84, type, sK4: mu).
% 28.39/4.07 thf(func_def_85, type, sK5: mu).
% 28.39/4.07 thf(func_def_86, type, sK6: mu).
% 28.39/4.07 thf(func_def_87, type, sK7: mu).
% 28.39/4.07 thf(func_def_88, type, sK8: mu).
% 28.39/4.07 thf(func_def_89, type, sK9: mu).
% 28.39/4.07 thf(func_def_90, type, sK10: mu).
% 28.39/4.07 thf(func_def_91, type, sK11: mu).
% 28.39/4.07 thf(func_def_92, type, sK12: mu).
% 28.39/4.07 thf(func_def_93, type, sK13: mu).
% 28.39/4.07 thf(func_def_94, type, sK14: $i > $i).
% 28.39/4.07 thf(func_def_95, type, sK15: mu > mu > $i).
% 28.39/4.07 thf(func_def_96, type, sK16: mu > mu > $i).
% 28.39/4.07 thf(func_def_98, type, sK18: mu).
% 28.39/4.07 thf(func_def_99, type, sK19: mu).
% 28.39/4.07 thf(func_def_100, type, sK20: mu).
% 28.39/4.07 thf(func_def_101, type, sK21: mu).
% 28.39/4.07 thf(func_def_102, type, sK22: mu).
% 28.39/4.07 thf(func_def_103, type, sK23: mu).
% 28.39/4.07 thf(func_def_104, type, sK24: mu).
% 28.39/4.07 thf(func_def_105, type, sK25: mu).
% 28.39/4.07 thf(func_def_106, type, sK26: mu).
% 28.39/4.07 thf(func_def_107, type, sK27: mu).
% 28.39/4.07 thf(func_def_108, type, sK28: $i > $i).
% 28.39/4.07 thf(func_def_109, type, sK29: mu > mu > $i).
% 28.39/4.07 thf(func_def_110, type, sK30: mu > mu > $i).
% 28.39/4.07 thf(func_def_112, type, sK32: mu > $i).
% 28.39/4.07 thf(func_def_113, type, sK33: mu > $i).
% 28.39/4.07 thf(func_def_115, type, sK35: mu > $i).
% 28.39/4.07 thf(func_def_116, type, sK36: mu > $i).
% 28.39/4.07 thf(func_def_117, type, sK37: mu > $i).
% 28.39/4.07 thf(func_def_118, type, sK38: mu > $i).
% 28.39/4.07 thf(func_def_119, type, sK39: $i > mu).
% 28.39/4.07 thf(func_def_120, type, sK40: mu > $i).
% 28.39/4.07 thf(func_def_121, type, sK41: mu > $i).
% 28.39/4.07 thf(func_def_122, type, sK42: mu > mu > $i).
% 28.39/4.07 thf(f2359,plain,(
% 28.39/4.07 $false),
% 28.39/4.07 inference(avatar_sat_refutation,[],[f440,f1011,f1061,f1102,f1475,f1517,f1622,f1653,f1736,f1769,f1793,f1834,f2222,f2248,f2288,f2319])).
% 28.39/4.07 thf(f2319,plain,(
% 28.39/4.07 ~spl0_2 | ~spl0_26),
% 28.39/4.07 inference(avatar_contradiction_clause,[],[f2318])).
% 28.39/4.07 thf(f2318,plain,(
% 28.39/4.07 $false | (~spl0_2 | ~spl0_26)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f2317])).
% 28.39/4.07 thf(f2317,plain,(
% 28.39/4.07 ($false = $true) | (~spl0_2 | ~spl0_26)),
% 28.39/4.07 inference(backward_demodulation,[],[f1988,f2316])).
% 28.39/4.07 thf(f2316,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (~spl0_2 | ~spl0_26)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f2315])).
% 28.39/4.07 thf(f2315,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = $true) | (~spl0_2 | ~spl0_26)),
% 28.39/4.07 inference(forward_demodulation,[],[f2314,f1992])).
% 28.39/4.07 thf(f1992,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $true) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1953])).
% 28.39/4.07 thf(f1953,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1952])).
% 28.39/4.07 thf(f1952,plain,(
% 28.39/4.07 ($false = ((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1950])).
% 28.39/4.07 thf(f1950,plain,(
% 28.39/4.07 ($false = (((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1947])).
% 28.39/4.07 thf(f1947,plain,(
% 28.39/4.07 (((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1944])).
% 28.39/4.07 thf(f1944,plain,(
% 28.39/4.07 ((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1941])).
% 28.39/4.07 thf(f1941,plain,(
% 28.39/4.07 (((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1939])).
% 28.39/4.07 thf(f1939,plain,(
% 28.39/4.07 ((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1937])).
% 28.39/4.07 thf(f1937,plain,(
% 28.39/4.07 ($false = ((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1934])).
% 28.39/4.07 thf(f1934,plain,(
% 28.39/4.07 ((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1931])).
% 28.39/4.07 thf(f1931,plain,(
% 28.39/4.07 (((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1928])).
% 28.39/4.07 thf(f1928,plain,(
% 28.39/4.07 ($false = (((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1926])).
% 28.39/4.07 thf(f1926,plain,(
% 28.39/4.07 ($false = ((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1923])).
% 28.39/4.07 thf(f1923,plain,(
% 28.39/4.07 ($false = (((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1921])).
% 28.39/4.07 thf(f1921,plain,(
% 28.39/4.07 (((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ sK6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1918])).
% 28.39/4.07 thf(f1918,plain,(
% 28.39/4.07 ((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ sK6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1916])).
% 28.39/4.07 thf(f1916,plain,(
% 28.39/4.07 (((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ sK6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1913])).
% 28.39/4.07 thf(f1913,plain,(
% 28.39/4.07 ((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ sK6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1910])).
% 28.39/4.07 thf(f1910,plain,(
% 28.39/4.07 (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ sK6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1907])).
% 28.39/4.07 thf(f1907,plain,(
% 28.39/4.07 ((((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ sK6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1906])).
% 28.39/4.07 thf(f1906,plain,(
% 28.39/4.07 (((exists_in_world @ sK13 @ sK3) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ sK6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1905])).
% 28.39/4.07 thf(f1905,plain,(
% 28.39/4.07 (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ sK4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK10 @ Y0 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ sK12 @ sK11 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ sK10 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ sK10 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ sK10 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ sK9 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ sK9 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ sK9 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ sK11 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ sK11 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ sK11 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ sK6 @ sK5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((down @ sK6 @ sK7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((barrel @ sK6 @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((old @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((dirty @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((white @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((car @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((chevy @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((lonely @ sK7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((way @ sK7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((street @ sK7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((event @ sK6 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((city @ sK5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((hollywood @ sK5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ sK4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ sK4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ sK4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))))) @ sK13) = $false) | ~spl0_2),
% 28.39/4.07 inference(sigma_clausification,[],[f1903])).
% 28.39/4.07 thf(f1903,plain,(
% 28.39/4.07 ($false = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ sK4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK10 @ Y0 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ sK12 @ sK11 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ sK10 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ sK10 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ sK10 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ sK9 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ sK9 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ sK9 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ sK11 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ sK11 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ sK11 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ sK6 @ sK5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((down @ sK6 @ sK7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((barrel @ sK6 @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((old @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((dirty @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((white @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((car @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((chevy @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((lonely @ sK7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((way @ sK7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((street @ sK7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((event @ sK6 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((city @ sK5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((hollywood @ sK5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ sK4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ sK4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ sK4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1902])).
% 28.39/4.07 thf(f1902,plain,(
% 28.39/4.07 (((exists_in_world @ sK12 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ sK4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK10 @ Y0 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ sK12 @ sK11 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ sK10 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ sK10 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ sK10 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ sK9 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ sK9 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ sK9 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ sK11 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ sK11 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ sK11 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ sK6 @ sK5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((down @ sK6 @ sK7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((barrel @ sK6 @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((old @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((dirty @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((white @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((car @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((chevy @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((lonely @ sK7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((way @ sK7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((street @ sK7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((event @ sK6 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((city @ sK5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((hollywood @ sK5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ sK4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ sK4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ sK4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1901])).
% 28.39/4.07 thf(f1901,plain,(
% 28.39/4.07 (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ sK4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK10 @ Y1 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ sK11 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK9 @ Y0 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ sK10 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ sK10 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ sK10 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ sK9 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ sK9 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ sK9 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ sK11 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ sK11 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ sK11 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ sK6 @ sK5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((down @ sK6 @ sK7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((barrel @ sK6 @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((old @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((dirty @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((white @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((car @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((chevy @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((lonely @ sK7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((way @ sK7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((street @ sK7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((event @ sK6 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((city @ sK5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((hollywood @ sK5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ sK4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ sK4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ sK4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2)))))))))))) @ sK12) = $false) | ~spl0_2),
% 28.39/4.07 inference(sigma_clausification,[],[f1899])).
% 28.39/4.07 thf(f1899,plain,(
% 28.39/4.07 ($false = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ sK4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK10 @ Y1 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ sK11 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK9 @ Y0 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ sK10 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ sK10 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ sK10 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ sK9 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ sK9 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ sK9 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ sK11 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ sK11 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ sK11 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ sK6 @ sK5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((down @ sK6 @ sK7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((barrel @ sK6 @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((old @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((dirty @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((white @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((car @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((chevy @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((lonely @ sK7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((way @ sK7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((street @ sK7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((event @ sK6 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((city @ sK5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((hollywood @ sK5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ sK4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ sK4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ sK4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2)))))))))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1898])).
% 28.39/4.07 thf(f1898,plain,(
% 28.39/4.07 (((exists_in_world @ sK11 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ sK4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK10 @ Y1 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ sK11 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK9 @ Y0 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ sK10 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ sK10 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ sK10 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ sK9 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ sK9 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ sK9 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ sK11 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ sK11 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ sK11 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ sK6 @ sK5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((down @ sK6 @ sK7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((barrel @ sK6 @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((old @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((dirty @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((white @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((car @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((chevy @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((lonely @ sK7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((way @ sK7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((street @ sK7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((event @ sK6 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((city @ sK5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((hollywood @ sK5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ sK4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ sK4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ sK4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2)))))))))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1897])).
% 28.39/4.07 thf(f1897,plain,(
% 28.39/4.07 (((^[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]: ((in @ Y2 @ sK4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK10 @ Y2 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ Y1 @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK9 @ Y1 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ sK10 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ sK10 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ sK10 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ sK9 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ sK9 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ sK9 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ sK6 @ sK5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((down @ sK6 @ sK7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((barrel @ sK6 @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((old @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((dirty @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((white @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((car @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((chevy @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((lonely @ sK7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((way @ sK7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((street @ sK7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((event @ sK6 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((city @ sK5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((hollywood @ sK5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ sK4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ sK4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ sK4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))))))))))) @ sK11) = $false) | ~spl0_2),
% 28.39/4.07 inference(sigma_clausification,[],[f1895])).
% 28.39/4.07 thf(f1895,plain,(
% 28.39/4.07 ((!! @ 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]: ((in @ Y2 @ sK4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK10 @ Y2 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ Y1 @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK9 @ Y1 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ sK10 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ sK10 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ sK10 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ sK9 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ sK9 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ sK9 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ sK6 @ sK5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((down @ sK6 @ sK7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((barrel @ sK6 @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((old @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((dirty @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((white @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((car @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((chevy @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((lonely @ sK7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((way @ sK7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((street @ sK7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((event @ sK6 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((city @ sK5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((hollywood @ sK5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ sK4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ sK4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ sK4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3)))))))))))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1894])).
% 28.39/4.07 thf(f1894,plain,(
% 28.39/4.07 ($false = ((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]: ((in @ Y2 @ sK4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK10 @ Y2 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ Y1 @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK9 @ Y1 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ sK10 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ sK10 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ sK10 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ sK9 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ sK9 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ sK9 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ sK6 @ sK5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((down @ sK6 @ sK7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((barrel @ sK6 @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((old @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((dirty @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((white @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((car @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((chevy @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((lonely @ sK7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((way @ sK7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((street @ sK7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((event @ sK6 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((city @ sK5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((hollywood @ sK5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ sK4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ sK4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ sK4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3)))))))))))))))))) | ~spl0_2),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1893])).
% 28.39/4.07 thf(f1893,plain,(
% 28.39/4.07 ($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) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y4 : $i]: ((in @ Y3 @ sK4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ Y2 @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ sK9 @ Y2 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ sK9 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ sK9 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ sK9 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ sK9 @ Y0 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ sK6 @ sK5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((down @ sK6 @ sK7 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((barrel @ sK6 @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((old @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((dirty @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((white @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((car @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((chevy @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((lonely @ sK7 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((way @ sK7 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((street @ sK7 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((event @ sK6 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((city @ sK5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((hollywood @ sK5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ sK4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ sK4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ sK4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4)))))))))))))))))) @ sK10)) | ~spl0_2),
% 28.39/4.07 inference(sigma_clausification,[],[f1891])).
% 28.39/4.07 thf(f1891,plain,(
% 28.39/4.07 ((!! @ 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]: ((in @ Y3 @ sK4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ Y2 @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ sK9 @ Y2 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ sK9 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ sK9 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ sK9 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ sK9 @ Y0 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ sK6 @ sK5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((down @ sK6 @ sK7 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((barrel @ sK6 @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((old @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((dirty @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((white @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((car @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((chevy @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((lonely @ sK7 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((way @ sK7 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((street @ sK7 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((event @ sK6 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((city @ sK5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((hollywood @ sK5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ sK4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ sK4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ sK4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))))))))))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1890])).
% 28.39/4.07 thf(f1890,plain,(
% 28.39/4.07 ($false = ((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]: ((in @ Y3 @ sK4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ Y2 @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ sK9 @ Y2 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ sK9 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ sK9 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ sK9 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ sK9 @ Y0 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ sK6 @ sK5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((down @ sK6 @ sK7 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((barrel @ sK6 @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((old @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((dirty @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((white @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((car @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((chevy @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((lonely @ sK7 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((way @ sK7 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((street @ sK7 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((event @ sK6 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((city @ sK5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((hollywood @ sK5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ sK4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ sK4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ sK4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))))))))))))))))) | ~spl0_2),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1889])).
% 28.39/4.07 thf(f1889,plain,(
% 28.39/4.07 (((^[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]: ((in @ Y4 @ sK4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ Y3 @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y0 @ Y1 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ sK6 @ sK5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((down @ sK6 @ sK7 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((barrel @ sK6 @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((old @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((dirty @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((white @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((car @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((chevy @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((lonely @ sK7 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((way @ sK7 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((street @ sK7 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((event @ sK6 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((city @ sK5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((hollywood @ sK5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ sK4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ sK4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ sK4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))))))))))))))))) @ sK9) = $false) | ~spl0_2),
% 28.39/4.07 inference(sigma_clausification,[],[f1887])).
% 28.39/4.07 thf(f1887,plain,(
% 28.39/4.07 ($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) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y5 : $i]: ((in @ Y4 @ sK4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ Y3 @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y0 @ Y1 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ sK6 @ sK5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((down @ sK6 @ sK7 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((barrel @ sK6 @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((old @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((dirty @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((white @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((car @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((chevy @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((lonely @ sK7 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((way @ sK7 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((street @ sK7 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((event @ sK6 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((city @ sK5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((hollywood @ sK5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ sK4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ sK4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ sK4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))))))))))))))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1886])).
% 28.39/4.07 thf(f1886,plain,(
% 28.39/4.07 ($false = ((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]: ((in @ Y4 @ sK4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ Y3 @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y0 @ Y1 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ sK6 @ sK5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((down @ sK6 @ sK7 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((barrel @ sK6 @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((old @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((dirty @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((white @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((car @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((chevy @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((lonely @ sK7 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((way @ sK7 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((street @ sK7 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((event @ sK6 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((city @ sK5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((hollywood @ sK5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ sK4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ sK4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ sK4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5)))))))))))))))))))))))) | ~spl0_2),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1885])).
% 28.39/4.07 thf(f1885,plain,(
% 28.39/4.07 ($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]: ((in @ Y5 @ sK4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6)))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ Y4 @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y1 @ Y2 @ Y7) | (~ (rel_s4 @ Y6 @ Y7)))))) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ sK6 @ sK5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((down @ sK6 @ sK7 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((barrel @ sK6 @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((old @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((dirty @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((white @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((car @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((chevy @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((lonely @ sK7 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((way @ sK7 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((street @ sK7 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((event @ sK6 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((city @ sK5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((hollywood @ sK5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ sK4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ sK4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ sK4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6)))))))))))))))))))))))) @ sK8)) | ~spl0_2),
% 28.39/4.07 inference(sigma_clausification,[],[f1883])).
% 28.39/4.07 thf(f1883,plain,(
% 28.39/4.07 ((!! @ 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]: ((in @ Y5 @ sK4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6)))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ Y4 @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y1 @ Y2 @ Y7) | (~ (rel_s4 @ Y6 @ Y7)))))) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ sK6 @ sK5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((down @ sK6 @ sK7 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((barrel @ sK6 @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((old @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((dirty @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((white @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((car @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((chevy @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((lonely @ sK7 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((way @ sK7 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((street @ sK7 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((event @ sK6 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((city @ sK5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((hollywood @ sK5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ sK4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ sK4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ sK4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))))))))))))))))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1882])).
% 28.39/4.07 thf(f1882,plain,(
% 28.39/4.07 (((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]: ((in @ Y5 @ sK4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6)))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ Y4 @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y1 @ Y2 @ Y7) | (~ (rel_s4 @ Y6 @ Y7)))))) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ sK6 @ sK5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((down @ sK6 @ sK7 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((barrel @ sK6 @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((old @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((dirty @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((white @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((car @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((chevy @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((lonely @ sK7 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((way @ sK7 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((street @ sK7 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((event @ sK6 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((city @ sK5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((hollywood @ sK5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ sK4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ sK4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ sK4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6)))))))))))))))))))))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1881])).
% 28.39/4.07 thf(f1881,plain,(
% 28.39/4.07 ($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) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y7 : $i]: ((in @ Y6 @ sK4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7)))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ Y5 @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y2 @ Y3 @ Y8) | (~ (rel_s4 @ Y7 @ Y8)))))) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ sK6 @ sK5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((down @ sK6 @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((barrel @ sK6 @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((old @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((dirty @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((white @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((car @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((chevy @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((lonely @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((way @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((street @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((event @ sK6 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((city @ sK5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((hollywood @ sK5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ sK4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ sK4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ sK4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))))))))))))))))))))))) @ sK7)) | ~spl0_2),
% 28.39/4.07 inference(sigma_clausification,[],[f1876])).
% 28.39/4.07 thf(f1876,plain,(
% 28.39/4.07 ((!! @ 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]: ((in @ Y6 @ sK4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7)))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ Y5 @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y2 @ Y3 @ Y8) | (~ (rel_s4 @ Y7 @ Y8)))))) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ sK6 @ sK5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((down @ sK6 @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((barrel @ sK6 @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((old @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((dirty @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((white @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((car @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((chevy @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((lonely @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((way @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((street @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((event @ sK6 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((city @ sK5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((hollywood @ sK5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ sK4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ sK4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ sK4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7)))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1875])).
% 28.39/4.07 thf(f1875,plain,(
% 28.39/4.07 ($false = ((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]: ((in @ Y6 @ sK4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7)))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ Y5 @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y2 @ Y3 @ Y8) | (~ (rel_s4 @ Y7 @ Y8)))))) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ sK6 @ sK5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((down @ sK6 @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((barrel @ sK6 @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((old @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((dirty @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((white @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((car @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((chevy @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((lonely @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((way @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((street @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((event @ sK6 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((city @ sK5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((hollywood @ sK5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ sK4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ sK4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ sK4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7)))))))))))))))))))))))))))))) | ~spl0_2),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1874])).
% 28.39/4.07 thf(f1874,plain,(
% 28.39/4.07 ($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]: ((in @ Y7 @ sK4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8)))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y6 @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y3 @ Y4 @ Y9) | (~ (rel_s4 @ Y8 @ Y9)))))) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y0 @ sK5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((down @ Y0 @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((barrel @ Y0 @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((old @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((dirty @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((white @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((car @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((chevy @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((lonely @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((way @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((street @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((event @ Y0 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((city @ sK5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((hollywood @ sK5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ sK4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ sK4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ sK4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8)))))))))))))))))))))))))))))) @ sK6)) | ~spl0_2),
% 28.39/4.07 inference(sigma_clausification,[],[f1872])).
% 28.39/4.07 thf(f1872,plain,(
% 28.39/4.07 ((!! @ 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]: ((in @ Y7 @ sK4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8)))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y6 @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y3 @ Y4 @ Y9) | (~ (rel_s4 @ Y8 @ Y9)))))) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y0 @ sK5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((down @ Y0 @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((barrel @ Y0 @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((old @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((dirty @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((white @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((car @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((chevy @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((lonely @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((way @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((street @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((event @ Y0 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((city @ sK5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((hollywood @ sK5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ sK4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ sK4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ sK4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1871])).
% 28.39/4.07 thf(f1871,plain,(
% 28.39/4.07 ($false = ((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]: ((in @ Y7 @ sK4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8)))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y6 @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y3 @ Y4 @ Y9) | (~ (rel_s4 @ Y8 @ Y9)))))) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y0 @ sK5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((down @ Y0 @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((barrel @ Y0 @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((old @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((dirty @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((white @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((car @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((chevy @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((lonely @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((way @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((street @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((event @ Y0 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((city @ sK5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((hollywood @ sK5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ sK4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ sK4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ sK4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))))))))))))))))))))))))))))) | ~spl0_2),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1870])).
% 28.39/4.07 thf(f1870,plain,(
% 28.39/4.07 ($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]: ((in @ Y8 @ sK4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9)))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y7 @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y4 @ Y5 @ Y10) | (~ (rel_s4 @ Y9 @ Y10)))))) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y1 @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((down @ Y1 @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((barrel @ Y1 @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((old @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((dirty @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((white @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((car @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((chevy @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((lonely @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((way @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((street @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((event @ Y1 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((city @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((hollywood @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ sK4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ sK4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ sK4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))))))))))))))))))))))))))))) @ sK5)) | ~spl0_2),
% 28.39/4.07 inference(sigma_clausification,[],[f1868])).
% 28.39/4.07 thf(f1868,plain,(
% 28.39/4.07 ((!! @ 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]: ((in @ Y8 @ sK4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9)))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y7 @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y4 @ Y5 @ Y10) | (~ (rel_s4 @ Y9 @ Y10)))))) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y1 @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((down @ Y1 @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((barrel @ Y1 @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((old @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((dirty @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((white @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((car @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((chevy @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((lonely @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((way @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((street @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((event @ Y1 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((city @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((hollywood @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ sK4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ sK4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ sK4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9)))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1867])).
% 28.39/4.07 thf(f1867,plain,(
% 28.39/4.07 ($false = ((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]: ((in @ Y8 @ sK4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9)))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y7 @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y4 @ Y5 @ Y10) | (~ (rel_s4 @ Y9 @ Y10)))))) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y1 @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((down @ Y1 @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((barrel @ Y1 @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((old @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((dirty @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((white @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((car @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((chevy @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((lonely @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((way @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((street @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((event @ Y1 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((city @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((hollywood @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ sK4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ sK4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ sK4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9)))))))))))))))))))))))))))))))))))) | ~spl0_2),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1866])).
% 28.39/4.07 thf(f1866,plain,(
% 28.39/4.07 (((^[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]: ((in @ Y9 @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10)))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y8 @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y5 @ Y6 @ Y11) | (~ (rel_s4 @ Y10 @ Y11)))))) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y2 @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((down @ Y2 @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((barrel @ Y2 @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((old @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((dirty @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((white @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((car @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((chevy @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((lonely @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((way @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((street @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((event @ Y2 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((city @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((hollywood @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10)))))))))))))))))))))))))))))))))))) @ sK4) = $false) | ~spl0_2),
% 28.39/4.07 inference(sigma_clausification,[],[f1863])).
% 28.39/4.07 thf(f1863,plain,(
% 28.39/4.07 ((!! @ 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]: ((in @ Y9 @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10)))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y8 @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y5 @ Y6 @ Y11) | (~ (rel_s4 @ Y10 @ Y11)))))) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y2 @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((down @ Y2 @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((barrel @ Y2 @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((old @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((dirty @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((white @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((car @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((chevy @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((lonely @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((way @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((street @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((event @ Y2 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((city @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((hollywood @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1861])).
% 28.39/4.07 thf(f1861,plain,(
% 28.39/4.07 ($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]: ((in @ Y9 @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10)))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y8 @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y5 @ Y6 @ Y11) | (~ (rel_s4 @ Y10 @ Y11)))))) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y2 @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((down @ Y2 @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((barrel @ Y2 @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((old @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((dirty @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((white @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((car @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((chevy @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((lonely @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((way @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((street @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((event @ Y2 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((city @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((hollywood @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ 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]: ((in @ Y9 @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10)))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y8 @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y5 @ Y6 @ Y11) | (~ (rel_s4 @ Y10 @ Y11)))))) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y2 @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((down @ Y2 @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((barrel @ Y2 @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((old @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((dirty @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((white @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((car @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((chevy @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((lonely @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((way @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((street @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((event @ Y2 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((city @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((hollywood @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))))))))))))))))))))))))))))))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1859])).
% 28.39/4.07 thf(f1859,plain,(
% 28.39/4.07 ($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]: ((in @ Y9 @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10)))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y8 @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y5 @ Y6 @ Y11) | (~ (rel_s4 @ Y10 @ Y11)))))) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y2 @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((down @ Y2 @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((barrel @ Y2 @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((old @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((dirty @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((white @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((car @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((chevy @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((lonely @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((way @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((street @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((event @ Y2 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((city @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((hollywood @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ 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]: ((in @ Y9 @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10)))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y8 @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y5 @ Y6 @ Y11) | (~ (rel_s4 @ Y10 @ Y11)))))) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y2 @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((down @ Y2 @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((barrel @ Y2 @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((old @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((dirty @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((white @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((car @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((chevy @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((lonely @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((way @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((street @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((event @ Y2 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((city @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((hollywood @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ sK2 @ sK3)))) | ~spl0_2),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1858])).
% 28.39/4.07 thf(f1858,plain,(
% 28.39/4.07 ($false = ((^[Y0 : $i]: (((~ (!! @ 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]: ((in @ Y10 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ 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]: ((in @ Y10 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ sK2 @ Y0)))) @ sK3)) | ~spl0_2),
% 28.39/4.07 inference(sigma_clausification,[],[f439])).
% 28.39/4.07 thf(f439,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ 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]: ((in @ Y10 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ 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]: ((in @ Y10 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ sK2 @ Y0)))))) | ~spl0_2),
% 28.39/4.07 inference(avatar_component_clause,[],[f437])).
% 28.39/4.07 thf(f437,plain,(
% 28.39/4.07 spl0_2 <=> ($false = (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ 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]: ((in @ Y10 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ 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]: ((in @ Y10 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ sK2 @ Y0))))))),
% 28.39/4.07 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 28.39/4.07 thf(f2314,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (~spl0_2 | ~spl0_26)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f2313])).
% 28.39/4.07 thf(f2313,plain,(
% 28.39/4.07 ($false = $true) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (~spl0_2 | ~spl0_26)),
% 28.39/4.07 inference(forward_demodulation,[],[f2312,f1900])).
% 28.39/4.07 thf(f1900,plain,(
% 28.39/4.07 ($true = (exists_in_world @ sK11 @ sK3)) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1898])).
% 28.39/4.07 thf(f2312,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ sK11 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (~spl0_2 | ~spl0_26)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f2311])).
% 28.39/4.07 thf(f2311,plain,(
% 28.39/4.07 ($false = (exists_in_world @ sK11 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = $true) | (~spl0_2 | ~spl0_26)),
% 28.39/4.07 inference(forward_demodulation,[],[f2310,f1991])).
% 28.39/4.07 thf(f1991,plain,(
% 28.39/4.07 ($true = (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1955])).
% 28.39/4.07 thf(f1955,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1954])).
% 28.39/4.07 thf(f1954,plain,(
% 28.39/4.07 ((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1952])).
% 28.39/4.07 thf(f2310,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ sK11 @ sK3)) | (~spl0_2 | ~spl0_26)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f2309])).
% 28.39/4.07 thf(f2309,plain,(
% 28.39/4.07 ($false = $true) | ($false = (exists_in_world @ sK11 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~spl0_2 | ~spl0_26)),
% 28.39/4.07 inference(forward_demodulation,[],[f2308,f1959])).
% 28.39/4.07 thf(f1959,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $true) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1957])).
% 28.39/4.07 thf(f1957,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1956])).
% 28.39/4.07 thf(f1956,plain,(
% 28.39/4.07 (((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1954])).
% 28.39/4.07 thf(f2308,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ sK11 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (~spl0_2 | ~spl0_26)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f2307])).
% 28.39/4.07 thf(f2307,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = $true) | ($false = (exists_in_world @ sK11 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (~spl0_2 | ~spl0_26)),
% 28.39/4.07 inference(forward_demodulation,[],[f2306,f1904])).
% 28.39/4.07 thf(f1904,plain,(
% 28.39/4.07 ((exists_in_world @ sK12 @ sK3) = $true) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1902])).
% 28.39/4.07 thf(f2306,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ sK12 @ sK3)) | ($false = (exists_in_world @ sK11 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~spl0_2 | ~spl0_26)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f2294])).
% 28.39/4.07 thf(f2294,plain,(
% 28.39/4.07 ($false = (exists_in_world @ sK11 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ sK12 @ sK3)) | (~spl0_2 | ~spl0_26)),
% 28.39/4.07 inference(superposition,[],[f1036,f1983])).
% 28.39/4.07 thf(f1983,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $true) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1981])).
% 28.39/4.07 thf(f1981,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1980])).
% 28.39/4.07 thf(f1980,plain,(
% 28.39/4.07 ((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1978])).
% 28.39/4.07 thf(f1978,plain,(
% 28.39/4.07 (((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1975])).
% 28.39/4.07 thf(f1975,plain,(
% 28.39/4.07 ((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1972])).
% 28.39/4.07 thf(f1972,plain,(
% 28.39/4.07 (((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1970])).
% 28.39/4.07 thf(f1970,plain,(
% 28.39/4.07 ((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1967])).
% 28.39/4.07 thf(f1967,plain,(
% 28.39/4.07 (((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1964])).
% 28.39/4.07 thf(f1964,plain,(
% 28.39/4.07 ($false = (((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1961])).
% 28.39/4.07 thf(f1961,plain,(
% 28.39/4.07 ($false = ((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1958])).
% 28.39/4.07 thf(f1958,plain,(
% 28.39/4.07 ($false = (((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1956])).
% 28.39/4.07 thf(f1036,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3))) ) | ~spl0_26),
% 28.39/4.07 inference(avatar_component_clause,[],[f1035])).
% 28.39/4.07 thf(f1035,plain,(
% 28.39/4.07 spl0_26 <=> ! [X0 : mu,X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK3)))),
% 28.39/4.07 introduced(avatar_definition,[new_symbols(naming,[spl0_26])])).
% 28.39/4.07 thf(f1988,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $true) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1979])).
% 28.39/4.07 thf(f1979,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1978])).
% 28.39/4.07 thf(f2288,plain,(
% 28.39/4.07 ~spl0_2 | ~spl0_27),
% 28.39/4.07 inference(avatar_contradiction_clause,[],[f2287])).
% 28.39/4.07 thf(f2287,plain,(
% 28.39/4.07 $false | (~spl0_2 | ~spl0_27)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f2286])).
% 28.39/4.07 thf(f2286,plain,(
% 28.39/4.07 ($false = $true) | (~spl0_2 | ~spl0_27)),
% 28.39/4.07 inference(backward_demodulation,[],[f1999,f2285])).
% 28.39/4.07 thf(f2285,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((front @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (~spl0_2 | ~spl0_27)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f2284])).
% 28.39/4.07 thf(f2284,plain,(
% 28.39/4.07 ($false = $true) | ((!! @ $i @ (^[Y0 : $i]: ((front @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (~spl0_2 | ~spl0_27)),
% 28.39/4.07 inference(forward_demodulation,[],[f2283,f1869])).
% 28.39/4.07 thf(f1869,plain,(
% 28.39/4.07 ($true = (exists_in_world @ sK4 @ sK3)) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1867])).
% 28.39/4.07 thf(f2283,plain,(
% 28.39/4.07 ($false = (exists_in_world @ sK4 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (~spl0_2 | ~spl0_27)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f2282])).
% 28.39/4.07 thf(f2282,plain,(
% 28.39/4.07 ($false = $true) | ($false = (exists_in_world @ sK4 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (~spl0_2 | ~spl0_27)),
% 28.39/4.07 inference(forward_demodulation,[],[f2281,f1914])).
% 28.39/4.07 thf(f1914,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((furniture @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $true) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1912])).
% 28.39/4.07 thf(f1912,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1910])).
% 28.39/4.07 thf(f2281,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((furniture @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ sK4 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (~spl0_2 | ~spl0_27)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f2280])).
% 28.39/4.07 thf(f2280,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((front @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = $true) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ sK4 @ sK3)) | (~spl0_2 | ~spl0_27)),
% 28.39/4.07 inference(forward_demodulation,[],[f2275,f1911])).
% 28.39/4.07 thf(f1911,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((seat @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $true) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1909])).
% 28.39/4.07 thf(f1909,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1907])).
% 28.39/4.07 thf(f2275,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((front @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ sK4 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (~spl0_2 | ~spl0_27)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f2273])).
% 28.39/4.07 thf(f2273,plain,(
% 28.39/4.07 ($false = $true) | ($false = (exists_in_world @ sK4 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (~spl0_2 | ~spl0_27)),
% 28.39/4.07 inference(superposition,[],[f1986,f2267])).
% 28.39/4.07 thf(f2267,plain,(
% 28.39/4.07 ( ! [X0 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) ) | (~spl0_2 | ~spl0_27)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f2266])).
% 28.39/4.07 thf(f2266,plain,(
% 28.39/4.07 ( ! [X0 : mu] : (($false = $true) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK3))) ) | (~spl0_2 | ~spl0_27)),
% 28.39/4.07 inference(forward_demodulation,[],[f2265,f1908])).
% 28.39/4.07 thf(f1908,plain,(
% 28.39/4.07 ((exists_in_world @ sK13 @ sK3) = $true) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1906])).
% 28.39/4.07 thf(f2265,plain,(
% 28.39/4.07 ( ! [X0 : mu] : (($false = (exists_in_world @ X0 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ sK13 @ sK3))) ) | (~spl0_2 | ~spl0_27)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f2262])).
% 28.39/4.07 thf(f2262,plain,(
% 28.39/4.07 ( ! [X0 : mu] : (($false = (exists_in_world @ sK13 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | (~spl0_2 | ~spl0_27)),
% 28.39/4.07 inference(superposition,[],[f1987,f1039])).
% 28.39/4.07 thf(f1039,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_27),
% 28.39/4.07 inference(avatar_component_clause,[],[f1038])).
% 28.39/4.07 thf(f1038,plain,(
% 28.39/4.07 spl0_27 <=> ! [X2 : mu,X3 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false))),
% 28.39/4.07 introduced(avatar_definition,[new_symbols(naming,[spl0_27])])).
% 28.39/4.07 thf(f1987,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $true) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1984])).
% 28.39/4.07 thf(f1984,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1982])).
% 28.39/4.07 thf(f1982,plain,(
% 28.39/4.07 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1980])).
% 28.39/4.07 thf(f1986,plain,(
% 28.39/4.07 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1985])).
% 28.39/4.07 thf(f1985,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1982])).
% 28.39/4.07 thf(f1999,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((front @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $true) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1915])).
% 28.39/4.07 thf(f1915,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1913])).
% 28.39/4.07 thf(f2248,plain,(
% 28.39/4.07 ~spl0_2 | ~spl0_28),
% 28.39/4.07 inference(avatar_contradiction_clause,[],[f2247])).
% 28.39/4.07 thf(f2247,plain,(
% 28.39/4.07 $false | (~spl0_2 | ~spl0_28)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f2246])).
% 28.39/4.07 thf(f2246,plain,(
% 28.39/4.07 ($false = $true) | (~spl0_2 | ~spl0_28)),
% 28.39/4.07 inference(backward_demodulation,[],[f1935,f2245])).
% 28.39/4.07 thf(f2245,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (~spl0_2 | ~spl0_28)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f2244])).
% 28.39/4.07 thf(f2244,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = $true) | (~spl0_2 | ~spl0_28)),
% 28.39/4.07 inference(forward_demodulation,[],[f2243,f1996])).
% 28.39/4.07 thf(f1996,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $true) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1936])).
% 28.39/4.07 thf(f1936,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1934])).
% 28.39/4.07 thf(f2243,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (~spl0_2 | ~spl0_28)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f2242])).
% 28.39/4.07 thf(f2242,plain,(
% 28.39/4.07 ($false = $true) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (~spl0_2 | ~spl0_28)),
% 28.39/4.07 inference(forward_demodulation,[],[f2241,f1945])).
% 28.39/4.07 thf(f1945,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $true) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1943])).
% 28.39/4.07 thf(f1943,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1941])).
% 28.39/4.07 thf(f2241,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (~spl0_2 | ~spl0_28)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f2240])).
% 28.39/4.07 thf(f2240,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = $true) | ((!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (~spl0_2 | ~spl0_28)),
% 28.39/4.07 inference(forward_demodulation,[],[f2239,f1942])).
% 28.39/4.07 thf(f1942,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $true) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1940])).
% 28.39/4.07 thf(f1940,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1939])).
% 28.39/4.07 thf(f2239,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (~spl0_2 | ~spl0_28)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f2238])).
% 28.39/4.07 thf(f2238,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = $true) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (~spl0_2 | ~spl0_28)),
% 28.39/4.07 inference(forward_demodulation,[],[f2237,f1888])).
% 28.39/4.07 thf(f1888,plain,(
% 28.39/4.07 ((exists_in_world @ sK8 @ sK3) = $true) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1886])).
% 28.39/4.07 thf(f2237,plain,(
% 28.39/4.07 ($false = (exists_in_world @ sK8 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (~spl0_2 | ~spl0_28)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f2236])).
% 28.39/4.07 thf(f2236,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = $true) | ((!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ sK8 @ sK3)) | (~spl0_2 | ~spl0_28)),
% 28.39/4.07 inference(forward_demodulation,[],[f2235,f1995])).
% 28.39/4.07 thf(f1995,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $true) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1938])).
% 28.39/4.07 thf(f1938,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1937])).
% 28.39/4.07 thf(f2235,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ sK8 @ sK3)) | (~spl0_2 | ~spl0_28)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f2232])).
% 28.39/4.07 thf(f2232,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ sK8 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = $true) | (~spl0_2 | ~spl0_28)),
% 28.39/4.07 inference(superposition,[],[f1948,f1082])).
% 28.39/4.07 thf(f1082,plain,(
% 28.39/4.07 ( ! [X0 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((white @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_28),
% 28.39/4.07 inference(avatar_component_clause,[],[f1081])).
% 28.39/4.07 thf(f1081,plain,(
% 28.39/4.07 spl0_28 <=> ! [X0 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((white @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false))),
% 28.39/4.07 introduced(avatar_definition,[new_symbols(naming,[spl0_28])])).
% 28.39/4.07 thf(f1948,plain,(
% 28.39/4.07 ($true = (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1946])).
% 28.39/4.07 thf(f1946,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1944])).
% 28.39/4.07 thf(f1935,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $true) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1933])).
% 28.39/4.07 thf(f1933,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1931])).
% 28.39/4.07 thf(f2222,plain,(
% 28.39/4.07 ~spl0_2 | ~spl0_29),
% 28.39/4.07 inference(avatar_contradiction_clause,[],[f2221])).
% 28.39/4.07 thf(f2221,plain,(
% 28.39/4.07 $false | (~spl0_2 | ~spl0_29)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f2220])).
% 28.39/4.07 thf(f2220,plain,(
% 28.39/4.07 ($false = $true) | (~spl0_2 | ~spl0_29)),
% 28.39/4.07 inference(backward_demodulation,[],[f1919,f2219])).
% 28.39/4.07 thf(f2219,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~spl0_2 | ~spl0_29)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f2218])).
% 28.39/4.07 thf(f2218,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = $true) | (~spl0_2 | ~spl0_29)),
% 28.39/4.07 inference(forward_demodulation,[],[f2217,f1873])).
% 28.39/4.07 thf(f1873,plain,(
% 28.39/4.07 ((exists_in_world @ sK5 @ sK3) = $true) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1871])).
% 28.39/4.07 thf(f2217,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ sK5 @ sK3) = $false) | (~spl0_2 | ~spl0_29)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f2216])).
% 28.39/4.07 thf(f2216,plain,(
% 28.39/4.07 ($false = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ sK5 @ sK3) = $false) | (~spl0_2 | ~spl0_29)),
% 28.39/4.07 inference(forward_demodulation,[],[f2215,f1998])).
% 28.39/4.07 thf(f1998,plain,(
% 28.39/4.07 ($true = (!! @ $i @ (^[Y0 : $i]: ((city @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1920])).
% 28.39/4.07 thf(f1920,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((city @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1918])).
% 28.39/4.07 thf(f2215,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ sK5 @ sK3) = $false) | (~spl0_2 | ~spl0_29)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f2212])).
% 28.39/4.07 thf(f2212,plain,(
% 28.39/4.07 ($false = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ sK5 @ sK3) = $false) | (~spl0_2 | ~spl0_29)),
% 28.39/4.07 inference(superposition,[],[f1993,f1085])).
% 28.39/4.07 thf(f1085,plain,(
% 28.39/4.07 ( ! [X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) ) | ~spl0_29),
% 28.39/4.07 inference(avatar_component_clause,[],[f1084])).
% 28.39/4.07 thf(f1084,plain,(
% 28.39/4.07 spl0_29 <=> ! [X1 : mu] : (($false = (exists_in_world @ X1 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false))),
% 28.39/4.07 introduced(avatar_definition,[new_symbols(naming,[spl0_29])])).
% 28.39/4.07 thf(f1993,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $true) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1951])).
% 28.39/4.07 thf(f1951,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1950])).
% 28.39/4.07 thf(f1919,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $true) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1917])).
% 28.39/4.07 thf(f1917,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1916])).
% 28.39/4.07 thf(f1834,plain,(
% 28.39/4.07 ~spl0_1 | ~spl0_44),
% 28.39/4.07 inference(avatar_contradiction_clause,[],[f1833])).
% 28.39/4.07 thf(f1833,plain,(
% 28.39/4.07 $false | (~spl0_1 | ~spl0_44)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1832])).
% 28.39/4.07 thf(f1832,plain,(
% 28.39/4.07 ($false = $true) | (~spl0_1 | ~spl0_44)),
% 28.39/4.07 inference(backward_demodulation,[],[f1221,f1831])).
% 28.39/4.07 thf(f1831,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~spl0_1 | ~spl0_44)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1830])).
% 28.39/4.07 thf(f1830,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = $true) | (~spl0_1 | ~spl0_44)),
% 28.39/4.07 inference(forward_demodulation,[],[f1829,f1241])).
% 28.39/4.07 thf(f1241,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((front @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1157])).
% 28.39/4.07 thf(f1157,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1155])).
% 28.39/4.07 thf(f1155,plain,(
% 28.39/4.07 ($false = (((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK20 @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ sK20 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1152])).
% 28.39/4.07 thf(f1152,plain,(
% 28.39/4.07 ($false = ((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK20 @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ sK20 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1149])).
% 28.39/4.07 thf(f1149,plain,(
% 28.39/4.07 ($false = (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK20 @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ sK20 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1148])).
% 28.39/4.07 thf(f1148,plain,(
% 28.39/4.07 (((exists_in_world @ sK27 @ sK17) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK20 @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ sK20 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1147])).
% 28.39/4.07 thf(f1147,plain,(
% 28.39/4.07 ($false = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ sK25 @ Y1) | (~ (rel_s4 @ sK17 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK24 @ Y0 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ sK26 @ sK18 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ sK24 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ sK24 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ sK24 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ sK23 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ sK23 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ sK23 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ sK25 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ sK25 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ sK25 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ sK20 @ sK19 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((down @ sK20 @ sK21 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((barrel @ sK20 @ sK22 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((old @ sK22 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((dirty @ sK22 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((white @ sK22 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((car @ sK22 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((chevy @ sK22 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((lonely @ sK21 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((way @ sK21 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((street @ sK21 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((event @ sK20 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((city @ sK19 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((hollywood @ sK19 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ sK18 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ sK18 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ sK18 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))))) @ sK27)) | ~spl0_1),
% 28.39/4.07 inference(sigma_clausification,[],[f1145])).
% 28.39/4.07 thf(f1145,plain,(
% 28.39/4.07 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ sK25 @ Y1) | (~ (rel_s4 @ sK17 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK24 @ Y0 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ sK26 @ sK18 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ sK24 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ sK24 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ sK24 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ sK23 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ sK23 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ sK23 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ sK25 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ sK25 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ sK25 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ sK20 @ sK19 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((down @ sK20 @ sK21 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((barrel @ sK20 @ sK22 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((old @ sK22 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((dirty @ sK22 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((white @ sK22 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((car @ sK22 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((chevy @ sK22 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((lonely @ sK21 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((way @ sK21 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((street @ sK21 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((event @ sK20 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((city @ sK19 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((hollywood @ sK19 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ sK18 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ sK18 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ sK18 @ Y1) | (~ (rel_s4 @ sK17 @ Y1)))))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1144])).
% 28.39/4.07 thf(f1144,plain,(
% 28.39/4.07 ($false = ((exists_in_world @ sK26 @ sK17) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ sK25 @ Y1) | (~ (rel_s4 @ sK17 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK24 @ Y0 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ sK26 @ sK18 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ sK24 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ sK24 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ sK24 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ sK23 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ sK23 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ sK23 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ sK25 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ sK25 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ sK25 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ sK20 @ sK19 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((down @ sK20 @ sK21 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((barrel @ sK20 @ sK22 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((old @ sK22 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((dirty @ sK22 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((white @ sK22 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((car @ sK22 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((chevy @ sK22 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((lonely @ sK21 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((way @ sK21 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((street @ sK21 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((event @ sK20 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((city @ sK19 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((hollywood @ sK19 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ sK18 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ sK18 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ sK18 @ Y1) | (~ (rel_s4 @ sK17 @ Y1)))))))))))) | ~spl0_1),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1143])).
% 28.39/4.07 thf(f1143,plain,(
% 28.39/4.07 ($false = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ sK25 @ Y2) | (~ (rel_s4 @ sK17 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK24 @ Y1 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ sK18 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK23 @ Y0 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ sK24 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ sK24 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ sK24 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ sK23 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ sK23 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ sK23 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ sK25 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ sK25 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ sK25 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ sK20 @ sK19 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((down @ sK20 @ sK21 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((barrel @ sK20 @ sK22 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((old @ sK22 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((dirty @ sK22 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((white @ sK22 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((car @ sK22 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((chevy @ sK22 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((lonely @ sK21 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((way @ sK21 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((street @ sK21 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((event @ sK20 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((city @ sK19 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((hollywood @ sK19 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ sK18 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ sK18 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ sK18 @ Y2) | (~ (rel_s4 @ sK17 @ Y2)))))))))))) @ sK26)) | ~spl0_1),
% 28.39/4.07 inference(sigma_clausification,[],[f1141])).
% 28.39/4.07 thf(f1141,plain,(
% 28.39/4.07 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ sK25 @ Y2) | (~ (rel_s4 @ sK17 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK24 @ Y1 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ sK18 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK23 @ Y0 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ sK24 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ sK24 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ sK24 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ sK23 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ sK23 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ sK23 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ sK25 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ sK25 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ sK25 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ sK20 @ sK19 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((down @ sK20 @ sK21 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((barrel @ sK20 @ sK22 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((old @ sK22 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((dirty @ sK22 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((white @ sK22 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((car @ sK22 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((chevy @ sK22 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((lonely @ sK21 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((way @ sK21 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((street @ sK21 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((event @ sK20 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((city @ sK19 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((hollywood @ sK19 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ sK18 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ sK18 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ sK18 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1140])).
% 28.39/4.07 thf(f1140,plain,(
% 28.39/4.07 (((exists_in_world @ sK25 @ sK17) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ sK25 @ Y2) | (~ (rel_s4 @ sK17 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK24 @ Y1 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ sK18 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK23 @ Y0 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ sK24 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ sK24 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ sK24 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ sK23 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ sK23 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ sK23 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ sK25 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ sK25 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ sK25 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ sK20 @ sK19 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((down @ sK20 @ sK21 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((barrel @ sK20 @ sK22 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((old @ sK22 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((dirty @ sK22 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((white @ sK22 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((car @ sK22 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((chevy @ sK22 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((lonely @ sK21 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((way @ sK21 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((street @ sK21 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((event @ sK20 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((city @ sK19 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((hollywood @ sK19 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ sK18 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ sK18 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ sK18 @ Y2) | (~ (rel_s4 @ sK17 @ Y2)))))))))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1139])).
% 28.39/4.07 thf(f1139,plain,(
% 28.39/4.07 ($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]: ((in @ Y2 @ Y0 @ Y3) | (~ (rel_s4 @ sK17 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK24 @ Y2 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ Y1 @ sK18 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK23 @ Y1 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ sK24 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ sK24 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ sK24 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ sK23 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ sK23 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ sK23 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ Y0 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ Y0 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ Y0 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ sK20 @ sK19 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((down @ sK20 @ sK21 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((barrel @ sK20 @ sK22 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((old @ sK22 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((dirty @ sK22 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((white @ sK22 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((car @ sK22 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((chevy @ sK22 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((lonely @ sK21 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((way @ sK21 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((street @ sK21 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((event @ sK20 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((city @ sK19 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((hollywood @ sK19 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ sK18 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ sK18 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ sK18 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))))))))))) @ sK25)) | ~spl0_1),
% 28.39/4.07 inference(sigma_clausification,[],[f1137])).
% 28.39/4.07 thf(f1137,plain,(
% 28.39/4.07 ($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]: ((in @ Y2 @ Y0 @ Y3) | (~ (rel_s4 @ sK17 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK24 @ Y2 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ Y1 @ sK18 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK23 @ Y1 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ sK24 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ sK24 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ sK24 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ sK23 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ sK23 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ sK23 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ Y0 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ Y0 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ Y0 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ sK20 @ sK19 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((down @ sK20 @ sK21 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((barrel @ sK20 @ sK22 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((old @ sK22 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((dirty @ sK22 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((white @ sK22 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((car @ sK22 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((chevy @ sK22 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((lonely @ sK21 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((way @ sK21 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((street @ sK21 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((event @ sK20 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((city @ sK19 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((hollywood @ sK19 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ sK18 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ sK18 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ sK18 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))))))))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1136])).
% 28.39/4.07 thf(f1136,plain,(
% 28.39/4.07 (((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]: ((in @ Y2 @ Y0 @ Y3) | (~ (rel_s4 @ sK17 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK24 @ Y2 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ Y1 @ sK18 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK23 @ Y1 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ sK24 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ sK24 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ sK24 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ sK23 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ sK23 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ sK23 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ Y0 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ Y0 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ Y0 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ sK20 @ sK19 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((down @ sK20 @ sK21 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((barrel @ sK20 @ sK22 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((old @ sK22 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((dirty @ sK22 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((white @ sK22 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((car @ sK22 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((chevy @ sK22 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((lonely @ sK21 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((way @ sK21 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((street @ sK21 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((event @ sK20 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((city @ sK19 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((hollywood @ sK19 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ sK18 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ sK18 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ sK18 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))))))))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1135])).
% 28.39/4.07 thf(f1135,plain,(
% 28.39/4.07 (((^[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]: ((in @ Y3 @ Y1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ Y2 @ sK18 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ sK23 @ Y2 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ Y0 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ Y0 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ Y0 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ sK23 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ sK23 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ sK23 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ sK23 @ Y0 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ Y1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ Y1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ Y1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ sK20 @ sK19 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((down @ sK20 @ sK21 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((barrel @ sK20 @ sK22 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((old @ sK22 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((dirty @ sK22 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((white @ sK22 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((car @ sK22 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((chevy @ sK22 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((lonely @ sK21 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((way @ sK21 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((street @ sK21 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((event @ sK20 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((city @ sK19 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((hollywood @ sK19 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ sK18 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ sK18 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ sK18 @ Y4) | (~ (rel_s4 @ sK17 @ Y4)))))))))))))))))) @ sK24) = $false) | ~spl0_1),
% 28.39/4.07 inference(sigma_clausification,[],[f1133])).
% 28.39/4.07 thf(f1133,plain,(
% 28.39/4.07 ($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]: ((in @ Y3 @ Y1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ Y2 @ sK18 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ sK23 @ Y2 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ Y0 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ Y0 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ Y0 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ sK23 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ sK23 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ sK23 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ sK23 @ Y0 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ Y1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ Y1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ Y1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ sK20 @ sK19 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((down @ sK20 @ sK21 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((barrel @ sK20 @ sK22 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((old @ sK22 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((dirty @ sK22 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((white @ sK22 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((car @ sK22 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((chevy @ sK22 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((lonely @ sK21 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((way @ sK21 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((street @ sK21 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((event @ sK20 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((city @ sK19 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((hollywood @ sK19 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ sK18 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ sK18 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ sK18 @ Y4) | (~ (rel_s4 @ sK17 @ Y4)))))))))))))))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1132])).
% 28.39/4.07 thf(f1132,plain,(
% 28.39/4.07 (((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]: ((in @ Y3 @ Y1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ Y2 @ sK18 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ sK23 @ Y2 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ Y0 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ Y0 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ Y0 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ sK23 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ sK23 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ sK23 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ sK23 @ Y0 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ Y1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ Y1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ Y1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ sK20 @ sK19 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((down @ sK20 @ sK21 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((barrel @ sK20 @ sK22 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((old @ sK22 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((dirty @ sK22 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((white @ sK22 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((car @ sK22 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((chevy @ sK22 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((lonely @ sK21 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((way @ sK21 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((street @ sK21 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((event @ sK20 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((city @ sK19 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((hollywood @ sK19 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ sK18 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ sK18 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ sK18 @ Y4) | (~ (rel_s4 @ sK17 @ Y4)))))))))))))))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1131])).
% 28.39/4.07 thf(f1131,plain,(
% 28.39/4.07 (((^[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]: ((in @ Y4 @ Y2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ Y3 @ sK18 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y0 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y0 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y0 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y0 @ Y1 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ Y2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ Y2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ Y2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ sK20 @ sK19 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((down @ sK20 @ sK21 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((barrel @ sK20 @ sK22 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((old @ sK22 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((dirty @ sK22 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((white @ sK22 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((car @ sK22 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((chevy @ sK22 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((lonely @ sK21 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((way @ sK21 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((street @ sK21 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((event @ sK20 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((city @ sK19 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((hollywood @ sK19 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ sK18 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ sK18 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ sK18 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))))))))))))))))) @ sK23) = $false) | ~spl0_1),
% 28.39/4.07 inference(sigma_clausification,[],[f1129])).
% 28.39/4.07 thf(f1129,plain,(
% 28.39/4.07 ((!! @ 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]: ((in @ Y4 @ Y2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ Y3 @ sK18 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y0 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y0 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y0 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y0 @ Y1 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ Y2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ Y2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ Y2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ sK20 @ sK19 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((down @ sK20 @ sK21 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((barrel @ sK20 @ sK22 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((old @ sK22 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((dirty @ sK22 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((white @ sK22 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((car @ sK22 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((chevy @ sK22 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((lonely @ sK21 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((way @ sK21 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((street @ sK21 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((event @ sK20 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((city @ sK19 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((hollywood @ sK19 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ sK18 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ sK18 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ sK18 @ Y5) | (~ (rel_s4 @ sK17 @ Y5)))))))))))))))))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1128])).
% 28.39/4.07 thf(f1128,plain,(
% 28.39/4.07 (((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]: ((in @ Y4 @ Y2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ Y3 @ sK18 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y0 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y0 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y0 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y0 @ Y1 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ Y2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ Y2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ Y2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ sK20 @ sK19 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((down @ sK20 @ sK21 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((barrel @ sK20 @ sK22 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((old @ sK22 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((dirty @ sK22 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((white @ sK22 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((car @ sK22 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((chevy @ sK22 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((lonely @ sK21 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((way @ sK21 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((street @ sK21 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((event @ sK20 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((city @ sK19 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((hollywood @ sK19 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ sK18 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ sK18 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ sK18 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))))))))))))))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1127])).
% 28.39/4.07 thf(f1127,plain,(
% 28.39/4.07 ($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]: ((in @ Y5 @ Y3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6)))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ Y4 @ sK18 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y1 @ Y2 @ Y7) | (~ (rel_s4 @ Y6 @ Y7)))))) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ Y3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ Y3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ Y3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ sK20 @ sK19 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((down @ sK20 @ sK21 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((barrel @ sK20 @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((old @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((dirty @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((white @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((car @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((chevy @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((lonely @ sK21 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((way @ sK21 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((street @ sK21 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((event @ sK20 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((city @ sK19 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((hollywood @ sK19 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ sK18 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ sK18 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ sK18 @ Y6) | (~ (rel_s4 @ sK17 @ Y6)))))))))))))))))))))))) @ sK22)) | ~spl0_1),
% 28.39/4.07 inference(sigma_clausification,[],[f1125])).
% 28.39/4.07 thf(f1125,plain,(
% 28.39/4.07 ((!! @ 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]: ((in @ Y5 @ Y3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6)))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ Y4 @ sK18 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y1 @ Y2 @ Y7) | (~ (rel_s4 @ Y6 @ Y7)))))) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ Y3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ Y3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ Y3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ sK20 @ sK19 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((down @ sK20 @ sK21 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((barrel @ sK20 @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((old @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((dirty @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((white @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((car @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((chevy @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((lonely @ sK21 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((way @ sK21 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((street @ sK21 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((event @ sK20 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((city @ sK19 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((hollywood @ sK19 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ sK18 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ sK18 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ sK18 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))))))))))))))))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1124])).
% 28.39/4.07 thf(f1124,plain,(
% 28.39/4.07 (((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]: ((in @ Y5 @ Y3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6)))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ Y4 @ sK18 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y1 @ Y2 @ Y7) | (~ (rel_s4 @ Y6 @ Y7)))))) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ Y3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ Y3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ Y3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ sK20 @ sK19 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((down @ sK20 @ sK21 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((barrel @ sK20 @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((old @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((dirty @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((white @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((car @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((chevy @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((lonely @ sK21 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((way @ sK21 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((street @ sK21 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((event @ sK20 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((city @ sK19 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((hollywood @ sK19 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ sK18 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ sK18 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ sK18 @ Y6) | (~ (rel_s4 @ sK17 @ Y6)))))))))))))))))))))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1123])).
% 28.39/4.07 thf(f1123,plain,(
% 28.39/4.07 (((^[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]: ((in @ Y6 @ Y4 @ Y7) | (~ (rel_s4 @ sK17 @ Y7)))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ Y5 @ sK18 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y3 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y3 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y3 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y2 @ Y3 @ Y8) | (~ (rel_s4 @ Y7 @ Y8)))))) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ Y4 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ Y4 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ Y4 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ sK20 @ sK19 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((down @ sK20 @ Y0 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((barrel @ sK20 @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((old @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((dirty @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((white @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((car @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((chevy @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((lonely @ Y0 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((way @ Y0 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((street @ Y0 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((event @ sK20 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((city @ sK19 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((hollywood @ sK19 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ sK18 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ sK18 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ sK18 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))))))))))))))))))))))) @ sK21) = $false) | ~spl0_1),
% 28.39/4.07 inference(sigma_clausification,[],[f1121])).
% 28.39/4.07 thf(f1121,plain,(
% 28.39/4.07 ((!! @ 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]: ((in @ Y6 @ Y4 @ Y7) | (~ (rel_s4 @ sK17 @ Y7)))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ Y5 @ sK18 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y3 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y3 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y3 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y2 @ Y3 @ Y8) | (~ (rel_s4 @ Y7 @ Y8)))))) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ Y4 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ Y4 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ Y4 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ sK20 @ sK19 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((down @ sK20 @ Y0 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((barrel @ sK20 @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((old @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((dirty @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((white @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((car @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((chevy @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((lonely @ Y0 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((way @ Y0 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((street @ Y0 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((event @ sK20 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((city @ sK19 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((hollywood @ sK19 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ sK18 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ sK18 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ sK18 @ Y7) | (~ (rel_s4 @ sK17 @ Y7)))))))))))))))))))))))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1120])).
% 28.39/4.07 thf(f1120,plain,(
% 28.39/4.07 ($false = ((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]: ((in @ Y6 @ Y4 @ Y7) | (~ (rel_s4 @ sK17 @ Y7)))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ Y5 @ sK18 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y3 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y3 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y3 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y2 @ Y3 @ Y8) | (~ (rel_s4 @ Y7 @ Y8)))))) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ Y4 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ Y4 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ Y4 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ sK20 @ sK19 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((down @ sK20 @ Y0 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((barrel @ sK20 @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((old @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((dirty @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((white @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((car @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((chevy @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((lonely @ Y0 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((way @ Y0 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((street @ Y0 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((event @ sK20 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((city @ sK19 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((hollywood @ sK19 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ sK18 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ sK18 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ sK18 @ Y7) | (~ (rel_s4 @ sK17 @ Y7)))))))))))))))))))))))))))))) | ~spl0_1),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1119])).
% 28.39/4.07 thf(f1119,plain,(
% 28.39/4.07 ($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) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y7 @ Y5 @ Y8) | (~ (rel_s4 @ sK17 @ Y8)))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y6 @ sK18 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y4 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y4 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y4 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y3 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y3 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y3 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y3 @ Y4 @ Y9) | (~ (rel_s4 @ Y8 @ Y9)))))) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ Y5 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ Y5 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ Y5 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y0 @ sK19 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((down @ Y0 @ Y1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((barrel @ Y0 @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((old @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((dirty @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((white @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((car @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((chevy @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((lonely @ Y1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((way @ Y1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((street @ Y1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((event @ Y0 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((city @ sK19 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((hollywood @ sK19 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ sK18 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ sK18 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ sK18 @ Y8) | (~ (rel_s4 @ sK17 @ Y8)))))))))))))))))))))))))))))) @ sK20)) | ~spl0_1),
% 28.39/4.07 inference(sigma_clausification,[],[f1117])).
% 28.39/4.07 thf(f1117,plain,(
% 28.39/4.07 ($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]: ((in @ Y7 @ Y5 @ Y8) | (~ (rel_s4 @ sK17 @ Y8)))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y6 @ sK18 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y4 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y4 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y4 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y3 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y3 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y3 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y3 @ Y4 @ Y9) | (~ (rel_s4 @ Y8 @ Y9)))))) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ Y5 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ Y5 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ Y5 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y0 @ sK19 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((down @ Y0 @ Y1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((barrel @ Y0 @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((old @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((dirty @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((white @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((car @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((chevy @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((lonely @ Y1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((way @ Y1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((street @ Y1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((event @ Y0 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((city @ sK19 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((hollywood @ sK19 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ sK18 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ sK18 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ sK18 @ Y8) | (~ (rel_s4 @ sK17 @ Y8)))))))))))))))))))))))))))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1116])).
% 28.39/4.07 thf(f1116,plain,(
% 28.39/4.07 ($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]: ((in @ Y7 @ Y5 @ Y8) | (~ (rel_s4 @ sK17 @ Y8)))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y6 @ sK18 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y4 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y4 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y4 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y3 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y3 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y3 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y3 @ Y4 @ Y9) | (~ (rel_s4 @ Y8 @ Y9)))))) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ Y5 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ Y5 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ Y5 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y0 @ sK19 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((down @ Y0 @ Y1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((barrel @ Y0 @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((old @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((dirty @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((white @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((car @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((chevy @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((lonely @ Y1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((way @ Y1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((street @ Y1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((event @ Y0 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((city @ sK19 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((hollywood @ sK19 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ sK18 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ sK18 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ sK18 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))))))))))))))))))))))))))))) | ~spl0_1),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1115])).
% 28.39/4.07 thf(f1115,plain,(
% 28.39/4.07 ($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) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y8 @ Y6 @ Y9) | (~ (rel_s4 @ sK17 @ Y9)))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y7 @ sK18 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y5 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y5 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y5 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y4 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y4 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y4 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y4 @ Y5 @ Y10) | (~ (rel_s4 @ Y9 @ Y10)))))) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ Y6 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ Y6 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ Y6 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y1 @ Y0 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((down @ Y1 @ Y2 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((barrel @ Y1 @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((old @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((dirty @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((white @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((car @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((chevy @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((lonely @ Y2 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((way @ Y2 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((street @ Y2 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((event @ Y1 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((city @ Y0 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((hollywood @ Y0 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ sK18 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ sK18 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ sK18 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))))))))))))))))))))))))))))) @ sK19)) | ~spl0_1),
% 28.39/4.07 inference(sigma_clausification,[],[f1113])).
% 28.39/4.07 thf(f1113,plain,(
% 28.39/4.07 ($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]: ((in @ Y8 @ Y6 @ Y9) | (~ (rel_s4 @ sK17 @ Y9)))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y7 @ sK18 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y5 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y5 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y5 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y4 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y4 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y4 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y4 @ Y5 @ Y10) | (~ (rel_s4 @ Y9 @ Y10)))))) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ Y6 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ Y6 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ Y6 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y1 @ Y0 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((down @ Y1 @ Y2 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((barrel @ Y1 @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((old @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((dirty @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((white @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((car @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((chevy @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((lonely @ Y2 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((way @ Y2 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((street @ Y2 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((event @ Y1 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((city @ Y0 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((hollywood @ Y0 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ sK18 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ sK18 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ sK18 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))))))))))))))))))))))))))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1112])).
% 28.39/4.07 thf(f1112,plain,(
% 28.39/4.07 (((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]: ((in @ Y8 @ Y6 @ Y9) | (~ (rel_s4 @ sK17 @ Y9)))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y7 @ sK18 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y5 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y5 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y5 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y4 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y4 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y4 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y4 @ Y5 @ Y10) | (~ (rel_s4 @ Y9 @ Y10)))))) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ Y6 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ Y6 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ Y6 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y1 @ Y0 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((down @ Y1 @ Y2 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((barrel @ Y1 @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((old @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((dirty @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((white @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((car @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((chevy @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((lonely @ Y2 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((way @ Y2 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((street @ Y2 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((event @ Y1 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((city @ Y0 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((hollywood @ Y0 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ sK18 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ sK18 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ sK18 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))))))))))))))))))))))))))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1111])).
% 28.39/4.07 thf(f1111,plain,(
% 28.39/4.07 (((^[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]: ((in @ Y9 @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10)))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y8 @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y5 @ Y6 @ Y11) | (~ (rel_s4 @ Y10 @ Y11)))))) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y2 @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((down @ Y2 @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((barrel @ Y2 @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((old @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((dirty @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((white @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((car @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((chevy @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((lonely @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((way @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((street @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((event @ Y2 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((city @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((hollywood @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10)))))))))))))))))))))))))))))))))))) @ sK18) = $false) | ~spl0_1),
% 28.39/4.07 inference(sigma_clausification,[],[f1107])).
% 28.39/4.07 thf(f1107,plain,(
% 28.39/4.07 ($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]: ((in @ Y9 @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10)))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y8 @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y5 @ Y6 @ Y11) | (~ (rel_s4 @ Y10 @ Y11)))))) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y2 @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((down @ Y2 @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((barrel @ Y2 @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((old @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((dirty @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((white @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((car @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((chevy @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((lonely @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((way @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((street @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((event @ Y2 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((city @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((hollywood @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10)))))))))))))))))))))))))))))))))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1106])).
% 28.39/4.07 thf(f1106,plain,(
% 28.39/4.07 (((~ (!! @ 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]: ((in @ Y9 @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10)))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y8 @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y5 @ Y6 @ Y11) | (~ (rel_s4 @ Y10 @ Y11)))))) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y2 @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((down @ Y2 @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((barrel @ Y2 @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((old @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((dirty @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((white @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((car @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((chevy @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((lonely @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((way @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((street @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((event @ Y2 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((city @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((hollywood @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ 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]: ((in @ Y9 @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10)))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y8 @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y5 @ Y6 @ Y11) | (~ (rel_s4 @ Y10 @ Y11)))))) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y2 @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((down @ Y2 @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((barrel @ Y2 @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((old @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((dirty @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((white @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((car @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((chevy @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((lonely @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((way @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((street @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((event @ Y2 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((city @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((hollywood @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10)))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1104])).
% 28.39/4.07 thf(f1104,plain,(
% 28.39/4.07 ((((~ (!! @ 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]: ((in @ Y9 @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10)))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y8 @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y5 @ Y6 @ Y11) | (~ (rel_s4 @ Y10 @ Y11)))))) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y2 @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((down @ Y2 @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((barrel @ Y2 @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((old @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((dirty @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((white @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((car @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((chevy @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((lonely @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((way @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((street @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((event @ Y2 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((city @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((hollywood @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ 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]: ((in @ Y9 @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10)))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y8 @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y5 @ Y6 @ Y11) | (~ (rel_s4 @ Y10 @ Y11)))))) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y2 @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((down @ Y2 @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((barrel @ Y2 @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((old @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((dirty @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((white @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((car @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((chevy @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((lonely @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((way @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((street @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((event @ Y2 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((city @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((hollywood @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ sK2 @ sK17))) = $false) | ~spl0_1),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1103])).
% 28.39/4.07 thf(f1103,plain,(
% 28.39/4.07 ($false = ((^[Y0 : $i]: (((~ (!! @ 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]: ((in @ Y10 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ 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]: ((in @ Y10 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ sK2 @ Y0)))) @ sK17)) | ~spl0_1),
% 28.39/4.07 inference(sigma_clausification,[],[f435])).
% 28.39/4.07 thf(f435,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ 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]: ((in @ Y10 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ 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]: ((in @ Y10 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ sK2 @ Y0)))))) | ~spl0_1),
% 28.39/4.07 inference(avatar_component_clause,[],[f433])).
% 28.39/4.07 thf(f433,plain,(
% 28.39/4.07 spl0_1 <=> ($false = (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ 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]: ((in @ Y10 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ 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]: ((in @ Y10 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ sK2 @ Y0))))))),
% 28.39/4.07 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 28.39/4.07 thf(f1829,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | (~spl0_1 | ~spl0_44)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1828])).
% 28.39/4.07 thf(f1828,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((front @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = $true) | (~spl0_1 | ~spl0_44)),
% 28.39/4.07 inference(forward_demodulation,[],[f1827,f1156])).
% 28.39/4.07 thf(f1156,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((furniture @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1154])).
% 28.39/4.07 thf(f1154,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1152])).
% 28.39/4.07 thf(f1827,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((furniture @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | (~spl0_1 | ~spl0_44)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1826])).
% 28.39/4.07 thf(f1826,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = $true) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | (~spl0_1 | ~spl0_44)),
% 28.39/4.07 inference(forward_demodulation,[],[f1825,f1153])).
% 28.39/4.07 thf(f1153,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((seat @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1151])).
% 28.39/4.07 thf(f1151,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1149])).
% 28.39/4.07 thf(f1825,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | (~spl0_1 | ~spl0_44)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1824])).
% 28.39/4.07 thf(f1824,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((front @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = $true) | (~spl0_1 | ~spl0_44)),
% 28.39/4.07 inference(forward_demodulation,[],[f1823,f1146])).
% 28.39/4.07 thf(f1146,plain,(
% 28.39/4.07 ((exists_in_world @ sK26 @ sK17) = $true) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1144])).
% 28.39/4.07 thf(f1823,plain,(
% 28.39/4.07 ((exists_in_world @ sK26 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~spl0_1 | ~spl0_44)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1822])).
% 28.39/4.07 thf(f1822,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = $true) | ((exists_in_world @ sK26 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | (~spl0_1 | ~spl0_44)),
% 28.39/4.07 inference(forward_demodulation,[],[f1810,f1114])).
% 28.39/4.07 thf(f1114,plain,(
% 28.39/4.07 ((exists_in_world @ sK18 @ sK17) = $true) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1112])).
% 28.39/4.07 thf(f1810,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ sK18 @ sK17)) | ((exists_in_world @ sK26 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | (~spl0_1 | ~spl0_44)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1800])).
% 28.39/4.07 thf(f1800,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ sK18 @ sK17)) | ($false = $true) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ sK26 @ sK17) = $false) | (~spl0_1 | ~spl0_44)),
% 28.39/4.07 inference(superposition,[],[f1601,f1224])).
% 28.39/4.07 thf(f1224,plain,(
% 28.39/4.07 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1222])).
% 28.39/4.07 thf(f1222,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1220])).
% 28.39/4.07 thf(f1220,plain,(
% 28.39/4.07 ($false = (((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1218])).
% 28.39/4.07 thf(f1218,plain,(
% 28.39/4.07 (((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1215])).
% 28.39/4.07 thf(f1215,plain,(
% 28.39/4.07 ($false = (((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1212])).
% 28.39/4.07 thf(f1212,plain,(
% 28.39/4.07 ($false = ((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1209])).
% 28.39/4.07 thf(f1209,plain,(
% 28.39/4.07 ((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1206])).
% 28.39/4.07 thf(f1206,plain,(
% 28.39/4.07 (((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1203])).
% 28.39/4.07 thf(f1203,plain,(
% 28.39/4.07 ((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1201])).
% 28.39/4.07 thf(f1201,plain,(
% 28.39/4.07 (((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1198])).
% 28.39/4.07 thf(f1198,plain,(
% 28.39/4.07 ((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1196])).
% 28.39/4.07 thf(f1196,plain,(
% 28.39/4.07 ($false = ((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1193])).
% 28.39/4.07 thf(f1193,plain,(
% 28.39/4.07 ((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1190])).
% 28.39/4.07 thf(f1190,plain,(
% 28.39/4.07 (((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1187])).
% 28.39/4.07 thf(f1187,plain,(
% 28.39/4.07 ($false = (((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK20 @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1185])).
% 28.39/4.07 thf(f1185,plain,(
% 28.39/4.07 (((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK20 @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1183])).
% 28.39/4.07 thf(f1183,plain,(
% 28.39/4.07 ((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK20 @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1181])).
% 28.39/4.07 thf(f1181,plain,(
% 28.39/4.07 ($false = ((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK20 @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1179])).
% 28.39/4.07 thf(f1179,plain,(
% 28.39/4.07 ($false = (((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK20 @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1176])).
% 28.39/4.07 thf(f1176,plain,(
% 28.39/4.07 (((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK20 @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1174])).
% 28.39/4.07 thf(f1174,plain,(
% 28.39/4.07 ((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK20 @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1172])).
% 28.39/4.07 thf(f1172,plain,(
% 28.39/4.07 (((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK20 @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1169])).
% 28.39/4.07 thf(f1169,plain,(
% 28.39/4.07 ((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK20 @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1167])).
% 28.39/4.07 thf(f1167,plain,(
% 28.39/4.07 ($false = ((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK20 @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1165])).
% 28.39/4.07 thf(f1165,plain,(
% 28.39/4.07 ($false = (((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK20 @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1162])).
% 28.39/4.07 thf(f1162,plain,(
% 28.39/4.07 ($false = ((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK20 @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ sK20 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1160])).
% 28.39/4.07 thf(f1160,plain,(
% 28.39/4.07 ($false = (((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK20 @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ sK20 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1158])).
% 28.39/4.07 thf(f1158,plain,(
% 28.39/4.07 (((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK26 @ sK18 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK20 @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ sK20 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1155])).
% 28.39/4.07 thf(f1601,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | ~spl0_44),
% 28.39/4.07 inference(avatar_component_clause,[],[f1600])).
% 28.39/4.07 thf(f1600,plain,(
% 28.39/4.07 spl0_44 <=> ! [X0 : mu,X1 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))))),
% 28.39/4.07 introduced(avatar_definition,[new_symbols(naming,[spl0_44])])).
% 28.39/4.07 thf(f1221,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1219])).
% 28.39/4.07 thf(f1219,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ sK26 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1218])).
% 28.39/4.07 thf(f1793,plain,(
% 28.39/4.07 ~spl0_1 | ~spl0_33 | spl0_50),
% 28.39/4.07 inference(avatar_contradiction_clause,[],[f1792])).
% 28.39/4.07 thf(f1792,plain,(
% 28.39/4.07 $false | (~spl0_1 | ~spl0_33 | spl0_50)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1791])).
% 28.39/4.07 thf(f1791,plain,(
% 28.39/4.07 ($false = $true) | (~spl0_1 | ~spl0_33 | spl0_50)),
% 28.39/4.07 inference(backward_demodulation,[],[f1238,f1790])).
% 28.39/4.07 thf(f1790,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((street @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~spl0_1 | ~spl0_33 | spl0_50)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1789])).
% 28.39/4.07 thf(f1789,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((street @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = $true) | (~spl0_1 | ~spl0_33 | spl0_50)),
% 28.39/4.07 inference(forward_demodulation,[],[f1788,f1126])).
% 28.39/4.07 thf(f1126,plain,(
% 28.39/4.07 ($true = (exists_in_world @ sK21 @ sK17)) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1124])).
% 28.39/4.07 thf(f1788,plain,(
% 28.39/4.07 ($false = (exists_in_world @ sK21 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((street @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~spl0_1 | ~spl0_33 | spl0_50)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1787])).
% 28.39/4.07 thf(f1787,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((street @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = $true) | ($false = (exists_in_world @ sK21 @ sK17)) | (~spl0_1 | ~spl0_33 | spl0_50)),
% 28.39/4.07 inference(forward_demodulation,[],[f1786,f1170])).
% 28.39/4.07 thf(f1170,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((way @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1168])).
% 28.39/4.07 thf(f1168,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1167])).
% 28.39/4.07 thf(f1786,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((street @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((way @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ sK21 @ sK17)) | (~spl0_1 | ~spl0_33 | spl0_50)),
% 28.39/4.07 inference(subsumption_resolution,[],[f1781,f1719])).
% 28.39/4.07 thf(f1719,plain,(
% 28.39/4.07 ($false != (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | spl0_50),
% 28.39/4.07 inference(avatar_component_clause,[],[f1718])).
% 28.39/4.07 thf(f1718,plain,(
% 28.39/4.07 spl0_50 <=> ($false = (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))),
% 28.39/4.07 introduced(avatar_definition,[new_symbols(naming,[spl0_50])])).
% 28.39/4.07 thf(f1781,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((street @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((way @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ sK21 @ sK17)) | (~spl0_1 | ~spl0_33)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1778])).
% 28.39/4.07 thf(f1778,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((street @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ sK21 @ sK17)) | ($false = $true) | ((!! @ $i @ (^[Y0 : $i]: ((way @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | (~spl0_1 | ~spl0_33)),
% 28.39/4.07 inference(superposition,[],[f1505,f1188])).
% 28.39/4.07 thf(f1188,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1186])).
% 28.39/4.07 thf(f1186,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1185])).
% 28.39/4.07 thf(f1505,plain,(
% 28.39/4.07 ( ! [X0 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK17))) ) | ~spl0_33),
% 28.39/4.07 inference(avatar_component_clause,[],[f1504])).
% 28.39/4.07 thf(f1504,plain,(
% 28.39/4.07 spl0_33 <=> ! [X0 : mu] : (($false = (exists_in_world @ X0 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false))),
% 28.39/4.07 introduced(avatar_definition,[new_symbols(naming,[spl0_33])])).
% 28.39/4.07 thf(f1238,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((street @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1166])).
% 28.39/4.07 thf(f1166,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((street @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1165])).
% 28.39/4.07 thf(f1769,plain,(
% 28.39/4.07 ~spl0_1 | ~spl0_32),
% 28.39/4.07 inference(avatar_contradiction_clause,[],[f1768])).
% 28.39/4.07 thf(f1768,plain,(
% 28.39/4.07 $false | (~spl0_1 | ~spl0_32)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1767])).
% 28.39/4.07 thf(f1767,plain,(
% 28.39/4.07 ($false = $true) | (~spl0_1 | ~spl0_32)),
% 28.39/4.07 inference(backward_demodulation,[],[f1236,f1766])).
% 28.39/4.07 thf(f1766,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((chevy @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | (~spl0_1 | ~spl0_32)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1765])).
% 28.39/4.07 thf(f1765,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((chevy @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = $true) | (~spl0_1 | ~spl0_32)),
% 28.39/4.07 inference(forward_demodulation,[],[f1764,f1234])).
% 28.39/4.07 thf(f1234,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((dirty @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1180])).
% 28.39/4.07 thf(f1180,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1179])).
% 28.39/4.07 thf(f1764,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((dirty @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | (~spl0_1 | ~spl0_32)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1763])).
% 28.39/4.07 thf(f1763,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((dirty @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = $true) | (~spl0_1 | ~spl0_32)),
% 28.39/4.07 inference(forward_demodulation,[],[f1762,f1177])).
% 28.39/4.07 thf(f1177,plain,(
% 28.39/4.07 ($true = (!! @ $i @ (^[Y0 : $i]: ((car @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1175])).
% 28.39/4.07 thf(f1175,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1174])).
% 28.39/4.07 thf(f1762,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((car @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | (~spl0_1 | ~spl0_32)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1761])).
% 28.39/4.07 thf(f1761,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((chevy @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = $true) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((car @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~spl0_1 | ~spl0_32)),
% 28.39/4.07 inference(forward_demodulation,[],[f1760,f1130])).
% 28.39/4.07 thf(f1130,plain,(
% 28.39/4.07 ($true = (exists_in_world @ sK22 @ sK17)) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1128])).
% 28.39/4.07 thf(f1760,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((chevy @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ sK22 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((car @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~spl0_1 | ~spl0_32)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1759])).
% 28.39/4.07 thf(f1759,plain,(
% 28.39/4.07 ($false = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((car @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ sK22 @ sK17)) | (~spl0_1 | ~spl0_32)),
% 28.39/4.07 inference(forward_demodulation,[],[f1758,f1235])).
% 28.39/4.07 thf(f1235,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((white @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1178])).
% 28.39/4.07 thf(f1178,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1176])).
% 28.39/4.07 thf(f1758,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((white @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((car @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ sK22 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | (~spl0_1 | ~spl0_32)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1757])).
% 28.39/4.07 thf(f1757,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((dirty @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((white @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ sK22 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((car @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = $true) | (~spl0_1 | ~spl0_32)),
% 28.39/4.07 inference(forward_demodulation,[],[f1756,f1233])).
% 28.39/4.07 thf(f1233,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((old @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1182])).
% 28.39/4.07 thf(f1182,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1181])).
% 28.39/4.07 thf(f1756,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((chevy @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ sK22 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((car @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((white @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~spl0_1 | ~spl0_32)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1752])).
% 28.39/4.07 thf(f1752,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((car @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ sK22 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((white @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = $true) | (~spl0_1 | ~spl0_32)),
% 28.39/4.07 inference(superposition,[],[f1502,f1232])).
% 28.39/4.07 thf(f1232,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1184])).
% 28.39/4.07 thf(f1184,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1183])).
% 28.39/4.07 thf(f1502,plain,(
% 28.39/4.07 ( ! [X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((car @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false)) ) | ~spl0_32),
% 28.39/4.07 inference(avatar_component_clause,[],[f1501])).
% 28.39/4.07 thf(f1501,plain,(
% 28.39/4.07 spl0_32 <=> ! [X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((white @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((car @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false))),
% 28.39/4.07 introduced(avatar_definition,[new_symbols(naming,[spl0_32])])).
% 28.39/4.07 thf(f1236,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((chevy @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1173])).
% 28.39/4.07 thf(f1173,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK22 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1172])).
% 28.39/4.07 thf(f1736,plain,(
% 28.39/4.07 ~spl0_1 | ~spl0_50),
% 28.39/4.07 inference(avatar_contradiction_clause,[],[f1735])).
% 28.39/4.07 thf(f1735,plain,(
% 28.39/4.07 $false | (~spl0_1 | ~spl0_50)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1734])).
% 28.39/4.07 thf(f1734,plain,(
% 28.39/4.07 ($false = $true) | (~spl0_1 | ~spl0_50)),
% 28.39/4.07 inference(backward_demodulation,[],[f1237,f1720])).
% 28.39/4.07 thf(f1720,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ~spl0_50),
% 28.39/4.07 inference(avatar_component_clause,[],[f1718])).
% 28.39/4.07 thf(f1237,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((lonely @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1171])).
% 28.39/4.07 thf(f1171,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK21 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1169])).
% 28.39/4.07 thf(f1653,plain,(
% 28.39/4.07 ~spl0_1 | ~spl0_45),
% 28.39/4.07 inference(avatar_contradiction_clause,[],[f1652])).
% 28.39/4.07 thf(f1652,plain,(
% 28.39/4.07 $false | (~spl0_1 | ~spl0_45)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1651])).
% 28.39/4.07 thf(f1651,plain,(
% 28.39/4.07 ($false = $true) | (~spl0_1 | ~spl0_45)),
% 28.39/4.07 inference(backward_demodulation,[],[f1227,f1650])).
% 28.39/4.07 thf(f1650,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~spl0_1 | ~spl0_45)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1649])).
% 28.39/4.07 thf(f1649,plain,(
% 28.39/4.07 ($false = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~spl0_1 | ~spl0_45)),
% 28.39/4.07 inference(forward_demodulation,[],[f1648,f1199])).
% 28.39/4.07 thf(f1199,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1197])).
% 28.39/4.07 thf(f1197,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1196])).
% 28.39/4.07 thf(f1648,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~spl0_1 | ~spl0_45)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1647])).
% 28.39/4.07 thf(f1647,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~spl0_1 | ~spl0_45)),
% 28.39/4.07 inference(forward_demodulation,[],[f1646,f1231])).
% 28.39/4.07 thf(f1231,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1195])).
% 28.39/4.07 thf(f1195,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1193])).
% 28.39/4.07 thf(f1646,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~spl0_1 | ~spl0_45)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1645])).
% 28.39/4.07 thf(f1645,plain,(
% 28.39/4.07 ($false = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~spl0_1 | ~spl0_45)),
% 28.39/4.07 inference(forward_demodulation,[],[f1644,f1194])).
% 28.39/4.07 thf(f1194,plain,(
% 28.39/4.07 ($true = (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1192])).
% 28.39/4.07 thf(f1192,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1190])).
% 28.39/4.07 thf(f1644,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | (~spl0_1 | ~spl0_45)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1643])).
% 28.39/4.07 thf(f1643,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~spl0_1 | ~spl0_45)),
% 28.39/4.07 inference(forward_demodulation,[],[f1642,f1142])).
% 28.39/4.07 thf(f1142,plain,(
% 28.39/4.07 ((exists_in_world @ sK25 @ sK17) = $true) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1140])).
% 28.39/4.07 thf(f1642,plain,(
% 28.39/4.07 ((exists_in_world @ sK25 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | (~spl0_1 | ~spl0_45)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1641])).
% 28.39/4.07 thf(f1641,plain,(
% 28.39/4.07 ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ sK25 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = $true) | (~spl0_1 | ~spl0_45)),
% 28.39/4.07 inference(forward_demodulation,[],[f1640,f1150])).
% 28.39/4.07 thf(f1150,plain,(
% 28.39/4.07 ((exists_in_world @ sK27 @ sK17) = $true) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1148])).
% 28.39/4.07 thf(f1640,plain,(
% 28.39/4.07 ($false = (exists_in_world @ sK27 @ sK17)) | ((exists_in_world @ sK25 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~spl0_1 | ~spl0_45)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1633])).
% 28.39/4.07 thf(f1633,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((furniture @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = $true) | ((exists_in_world @ sK25 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ sK27 @ sK17)) | (~spl0_1 | ~spl0_45)),
% 28.39/4.07 inference(superposition,[],[f1228,f1604])).
% 28.39/4.07 thf(f1604,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false)) ) | ~spl0_45),
% 28.39/4.07 inference(avatar_component_clause,[],[f1603])).
% 28.39/4.07 thf(f1603,plain,(
% 28.39/4.07 spl0_45 <=> ! [X2 : mu,X3 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false))),
% 28.39/4.07 introduced(avatar_definition,[new_symbols(naming,[spl0_45])])).
% 28.39/4.07 thf(f1228,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1226])).
% 28.39/4.07 thf(f1226,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1223])).
% 28.39/4.07 thf(f1223,plain,(
% 28.39/4.07 (((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK27 @ sK25 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1220])).
% 28.39/4.07 thf(f1227,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1225])).
% 28.39/4.07 thf(f1225,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ sK27 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1223])).
% 28.39/4.07 thf(f1622,plain,(
% 28.39/4.07 spl0_45 | spl0_44 | ~spl0_1 | ~spl0_31),
% 28.39/4.07 inference(avatar_split_clause,[],[f1621,f1473,f433,f1600,f1603])).
% 28.39/4.07 thf(f1473,plain,(
% 28.39/4.07 spl0_31 <=> ! [X10 : mu,X9 : mu,X7 : mu,X8 : mu,X6 : mu,X1 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X8 @ sK17) = $false))),
% 28.39/4.07 introduced(avatar_definition,[new_symbols(naming,[spl0_31])])).
% 28.39/4.07 thf(f1621,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | (~spl0_1 | ~spl0_31)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1620])).
% 28.39/4.07 thf(f1620,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((exists_in_world @ X3 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK17)) | ($false = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | (~spl0_1 | ~spl0_31)),
% 28.39/4.07 inference(forward_demodulation,[],[f1619,f1213])).
% 28.39/4.07 thf(f1213,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1211])).
% 28.39/4.07 thf(f1211,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1209])).
% 28.39/4.07 thf(f1619,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($false = (exists_in_world @ X0 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | (~spl0_1 | ~spl0_31)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1618])).
% 28.39/4.07 thf(f1618,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($false = (exists_in_world @ X0 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | (~spl0_1 | ~spl0_31)),
% 28.39/4.07 inference(forward_demodulation,[],[f1617,f1138])).
% 28.39/4.07 thf(f1138,plain,(
% 28.39/4.07 ((exists_in_world @ sK24 @ sK17) = $true) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1136])).
% 28.39/4.07 thf(f1617,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((exists_in_world @ sK24 @ sK17) = $false) | ($false = (exists_in_world @ X0 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | (~spl0_1 | ~spl0_31)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1616])).
% 28.39/4.07 thf(f1616,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = $true) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ sK24 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | (~spl0_1 | ~spl0_31)),
% 28.39/4.07 inference(forward_demodulation,[],[f1615,f1134])).
% 28.39/4.07 thf(f1134,plain,(
% 28.39/4.07 ((exists_in_world @ sK23 @ sK17) = $true) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1132])).
% 28.39/4.07 thf(f1615,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (exists_in_world @ sK23 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ sK24 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false)) ) | (~spl0_1 | ~spl0_31)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1614])).
% 28.39/4.07 thf(f1614,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($false = (exists_in_world @ X0 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ sK24 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ sK23 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = $true) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | (~spl0_1 | ~spl0_31)),
% 28.39/4.07 inference(forward_demodulation,[],[f1613,f1216])).
% 28.39/4.07 thf(f1216,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1214])).
% 28.39/4.07 thf(f1214,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1212])).
% 28.39/4.07 thf(f1613,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (exists_in_world @ sK23 @ sK17)) | ((exists_in_world @ sK24 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | (~spl0_1 | ~spl0_31)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1612])).
% 28.39/4.07 thf(f1612,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ sK24 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (exists_in_world @ sK23 @ sK17)) | ($false = (exists_in_world @ X1 @ sK17))) ) | (~spl0_1 | ~spl0_31)),
% 28.39/4.07 inference(forward_demodulation,[],[f1611,f1229])).
% 28.39/4.07 thf(f1229,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1217])).
% 28.39/4.07 thf(f1217,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1215])).
% 28.39/4.07 thf(f1611,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK17)) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ sK24 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ sK23 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK17))) ) | (~spl0_1 | ~spl0_31)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1610])).
% 28.39/4.07 thf(f1610,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ sK24 @ sK17) = $false) | ($false = (exists_in_world @ sK23 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | (~spl0_1 | ~spl0_31)),
% 28.39/4.07 inference(forward_demodulation,[],[f1609,f1207])).
% 28.39/4.07 thf(f1207,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1205])).
% 28.39/4.07 thf(f1205,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1203])).
% 28.39/4.07 thf(f1609,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ sK23 @ sK17)) | ((exists_in_world @ sK24 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false)) ) | (~spl0_1 | ~spl0_31)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1608])).
% 28.39/4.07 thf(f1608,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((exists_in_world @ sK24 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = $true) | ($false = (exists_in_world @ X0 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ sK23 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | (~spl0_1 | ~spl0_31)),
% 28.39/4.07 inference(forward_demodulation,[],[f1607,f1210])).
% 28.39/4.07 thf(f1210,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1208])).
% 28.39/4.07 thf(f1208,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1206])).
% 28.39/4.07 thf(f1607,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ sK23 @ sK17)) | ((exists_in_world @ sK24 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (exists_in_world @ X0 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false)) ) | (~spl0_1 | ~spl0_31)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1606])).
% 28.39/4.07 thf(f1606,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ sK23 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ sK24 @ sK17) = $false) | ($false = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | (~spl0_1 | ~spl0_31)),
% 28.39/4.07 inference(forward_demodulation,[],[f1581,f1204])).
% 28.39/4.07 thf(f1204,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1202])).
% 28.39/4.07 thf(f1202,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1201])).
% 28.39/4.07 thf(f1581,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ sK24 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ sK23 @ sK17))) ) | (~spl0_1 | ~spl0_31)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1579])).
% 28.39/4.07 thf(f1579,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK17)) | ($false = (exists_in_world @ sK23 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK23 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK24 @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((young @ sK23 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ sK24 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ sK24 @ sK17) = $false)) ) | (~spl0_1 | ~spl0_31)),
% 28.39/4.07 inference(superposition,[],[f1230,f1474])).
% 28.39/4.07 thf(f1474,plain,(
% 28.39/4.07 ( ! [X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X10 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | ~spl0_31),
% 28.39/4.07 inference(avatar_component_clause,[],[f1473])).
% 28.39/4.07 thf(f1230,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1200])).
% 28.39/4.07 thf(f1200,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK23 @ sK24 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0)))))) = $false) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1198])).
% 28.39/4.07 thf(f1517,plain,(
% 28.39/4.07 spl0_32 | spl0_33 | ~spl0_1 | ~spl0_30),
% 28.39/4.07 inference(avatar_split_clause,[],[f1516,f1470,f433,f1504,f1501])).
% 28.39/4.07 thf(f1470,plain,(
% 28.39/4.07 spl0_30 <=> ! [X3 : mu,X4 : mu,X5 : mu,X2 : mu] : (($false = (exists_in_world @ X5 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false))),
% 28.39/4.07 introduced(avatar_definition,[new_symbols(naming,[spl0_30])])).
% 28.39/4.07 thf(f1516,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((dirty @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((car @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false)) ) | (~spl0_1 | ~spl0_30)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1515])).
% 28.39/4.07 thf(f1515,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (($false = (exists_in_world @ X0 @ sK17)) | ($false = $true) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((car @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false)) ) | (~spl0_1 | ~spl0_30)),
% 28.39/4.07 inference(forward_demodulation,[],[f1514,f1239])).
% 28.39/4.07 thf(f1239,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((event @ sK20 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1164])).
% 28.39/4.07 thf(f1164,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((event @ sK20 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1162])).
% 28.39/4.07 thf(f1514,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ sK20 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((car @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK17))) ) | (~spl0_1 | ~spl0_30)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1513])).
% 28.39/4.07 thf(f1513,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (($false = $true) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((car @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((event @ sK20 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false)) ) | (~spl0_1 | ~spl0_30)),
% 28.39/4.07 inference(forward_demodulation,[],[f1512,f1163])).
% 28.39/4.07 thf(f1163,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((city @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1161])).
% 28.39/4.07 thf(f1161,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((city @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1160])).
% 28.39/4.07 thf(f1512,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((car @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((city @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ sK20 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false)) ) | (~spl0_1 | ~spl0_30)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1511])).
% 28.39/4.07 thf(f1511,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((event @ sK20 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = $true) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((city @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((car @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false)) ) | (~spl0_1 | ~spl0_30)),
% 28.39/4.07 inference(forward_demodulation,[],[f1510,f1122])).
% 28.39/4.07 thf(f1122,plain,(
% 28.39/4.07 ((exists_in_world @ sK20 @ sK17) = $true) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1120])).
% 28.39/4.07 thf(f1510,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((chevy @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ sK20 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((event @ sK20 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((car @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | (~spl0_1 | ~spl0_30)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1509])).
% 28.39/4.07 thf(f1509,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (($false = (exists_in_world @ X0 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = $true) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ sK20 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((car @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ sK20 @ sK17)) | ($false = (exists_in_world @ X1 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false)) ) | (~spl0_1 | ~spl0_30)),
% 28.39/4.07 inference(forward_demodulation,[],[f1508,f1240])).
% 28.39/4.07 thf(f1240,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1159])).
% 28.39/4.07 thf(f1159,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1158])).
% 28.39/4.07 thf(f1508,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((street @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((city @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ sK20 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((event @ sK20 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((car @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | (~spl0_1 | ~spl0_30)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1507])).
% 28.39/4.07 thf(f1507,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((chevy @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ sK20 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ sK20 @ sK17)) | ($false = $true) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((car @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false)) ) | (~spl0_1 | ~spl0_30)),
% 28.39/4.07 inference(forward_demodulation,[],[f1488,f1118])).
% 28.39/4.07 thf(f1118,plain,(
% 28.39/4.07 ((exists_in_world @ sK19 @ sK17) = $true) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1116])).
% 28.39/4.07 thf(f1488,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (($false = (exists_in_world @ X0 @ sK17)) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ sK19 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((car @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ sK20 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ sK20 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | (~spl0_1 | ~spl0_30)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1480])).
% 28.39/4.07 thf(f1480,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((way @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((car @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ sK20 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ sK20 @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK20 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ sK19 @ sK17)) | ($false = (exists_in_world @ X0 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X0 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (exists_in_world @ sK20 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = $true)) ) | (~spl0_1 | ~spl0_30)),
% 28.39/4.07 inference(superposition,[],[f1191,f1471])).
% 28.39/4.07 thf(f1471,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X5 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false)) ) | ~spl0_30),
% 28.39/4.07 inference(avatar_component_clause,[],[f1470])).
% 28.39/4.07 thf(f1191,plain,(
% 28.39/4.07 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ sK20 @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1189])).
% 28.39/4.07 thf(f1189,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK20 @ sK19 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1187])).
% 28.39/4.07 thf(f1475,plain,(
% 28.39/4.07 spl0_30 | spl0_31 | ~spl0_1),
% 28.39/4.07 inference(avatar_split_clause,[],[f1468,f433,f1473,f1470])).
% 28.39/4.07 thf(f1468,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X5 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X10 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X4 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1467])).
% 28.39/4.07 thf(f1467,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X5 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X4 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ((exists_in_world @ X3 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1466])).
% 28.39/4.07 thf(f1466,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X7 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ($false = (exists_in_world @ X5 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X10 @ sK17)) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X9 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X8 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1465])).
% 28.39/4.07 thf(f1465,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X5 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X9 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1464])).
% 28.39/4.07 thf(f1464,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X9 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X5 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1463])).
% 28.39/4.07 thf(f1463,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X9 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1462])).
% 28.39/4.07 thf(f1462,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X10 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1461])).
% 28.39/4.07 thf(f1461,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X9 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X7 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X10 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X6 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1460])).
% 28.39/4.07 thf(f1460,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | (((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X4 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X9 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true)) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1459])).
% 28.39/4.07 thf(f1459,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X7 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (exists_in_world @ X10 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1458])).
% 28.39/4.07 thf(f1458,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X5 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X4 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X10 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X9 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1457])).
% 28.39/4.07 thf(f1457,plain,(
% 28.39/4.07 ( ! [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) | ((exists_in_world @ X8 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X5 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X7 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X9 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (exists_in_world @ X10 @ sK17))) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1456])).
% 28.39/4.07 thf(f1456,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X10 @ sK17)) | ((exists_in_world @ X7 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X9 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1455])).
% 28.39/4.07 thf(f1455,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X10 @ sK17)) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X9 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1454])).
% 28.39/4.07 thf(f1454,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X9 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X7 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X10 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1453])).
% 28.39/4.07 thf(f1453,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X5 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | (((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1452])).
% 28.39/4.07 thf(f1452,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X5 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X8 @ 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) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ($false = (exists_in_world @ X1 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | (((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1451])).
% 28.39/4.07 thf(f1451,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ((exists_in_world @ X7 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X9 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | (((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1450])).
% 28.39/4.07 thf(f1450,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((exists_in_world @ X9 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X6 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X4 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (exists_in_world @ X10 @ sK17))) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1449])).
% 28.39/4.07 thf(f1449,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | (((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X6 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X5 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1448])).
% 28.39/4.07 thf(f1448,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | (((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((exists_in_world @ X9 @ sK17) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ($false = (exists_in_world @ X1 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1447])).
% 28.39/4.07 thf(f1447,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ($false = (exists_in_world @ X1 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | (((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X5 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1446])).
% 28.39/4.07 thf(f1446,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X7 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | (((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X9 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X3 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1445])).
% 28.39/4.07 thf(f1445,plain,(
% 28.39/4.07 ( ! [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) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X6 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ((exists_in_world @ X9 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X10 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true)) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1444])).
% 28.39/4.07 thf(f1444,plain,(
% 28.39/4.07 ( ! [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) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | (((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK17))) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1443])).
% 28.39/4.07 thf(f1443,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ((exists_in_world @ X8 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK17) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | (((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1442])).
% 28.39/4.07 thf(f1442,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X9 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17))) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1441])).
% 28.39/4.07 thf(f1441,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X10 @ sK17)) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X4 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1440])).
% 28.39/4.07 thf(f1440,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X7 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X9 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X8 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | (((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ($false = (exists_in_world @ X10 @ sK17))) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1439])).
% 28.39/4.07 thf(f1439,plain,(
% 28.39/4.07 ( ! [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) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X7 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | (((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X10 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1438])).
% 28.39/4.07 thf(f1438,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X9 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ($false = (exists_in_world @ X10 @ sK17)) | ((exists_in_world @ X8 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1437])).
% 28.39/4.07 thf(f1437,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X9 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X3 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1436])).
% 28.39/4.07 thf(f1436,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X5 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X9 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | (((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X4 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X10 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X7 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1435])).
% 28.39/4.07 thf(f1435,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X10 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | (((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X9 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK17))) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1434])).
% 28.39/4.07 thf(f1434,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X5 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ((exists_in_world @ X6 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X9 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1433])).
% 28.39/4.07 thf(f1433,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X9 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X8 @ sK17) = $false) | (((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((exists_in_world @ X4 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X5 @ sK17)) | ($false = (exists_in_world @ X10 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1432])).
% 28.39/4.07 thf(f1432,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X5 @ sK17)) | ($false = (exists_in_world @ X10 @ sK17)) | ((exists_in_world @ X9 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | (((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK17))) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1431])).
% 28.39/4.07 thf(f1431,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X9 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1430])).
% 28.39/4.07 thf(f1430,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X10 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X8 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X9 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17))) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1429])).
% 28.39/4.07 thf(f1429,plain,(
% 28.39/4.07 ( ! [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) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X9 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X10 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($true = ((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X8 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1428])).
% 28.39/4.07 thf(f1428,plain,(
% 28.39/4.07 ( ! [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) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ($false = (exists_in_world @ X1 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X4 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X8 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($true = ((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))))) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1427])).
% 28.39/4.07 thf(f1427,plain,(
% 28.39/4.07 ( ! [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) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X5 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((exists_in_world @ X9 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1426])).
% 28.39/4.07 thf(f1426,plain,(
% 28.39/4.07 ( ! [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) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ((exists_in_world @ X7 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X10 @ sK17)) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((exists_in_world @ X9 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1425])).
% 28.39/4.07 thf(f1425,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X9 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X6 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ((exists_in_world @ X4 @ sK17) = $false) | (((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true)) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1424])).
% 28.39/4.07 thf(f1424,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X9 @ sK17) = $false) | (((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1423])).
% 28.39/4.07 thf(f1423,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X10 @ sK17)) | ((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X9 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17))) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1422])).
% 28.39/4.07 thf(f1422,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ((exists_in_world @ X9 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true)) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1421])).
% 28.39/4.07 thf(f1421,plain,(
% 28.39/4.07 ( ! [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) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X10 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X9 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | (((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1420])).
% 28.39/4.07 thf(f1420,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X9 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1419])).
% 28.39/4.07 thf(f1419,plain,(
% 28.39/4.07 ( ! [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) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X10 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ((exists_in_world @ X6 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X7 @ sK17) = $false) | (((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X9 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1418])).
% 28.39/4.07 thf(f1418,plain,(
% 28.39/4.07 ( ! [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) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X9 @ sK17) = $false) | ($true = (((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1417])).
% 28.39/4.07 thf(f1417,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X6 @ sK17) = $false) | (((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X9 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1416])).
% 28.39/4.07 thf(f1416,plain,(
% 28.39/4.07 ( ! [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 @ X7 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X4 @ sK17) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ($false = (exists_in_world @ X1 @ sK17)) | (((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((exists_in_world @ X9 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (exists_in_world @ X10 @ sK17))) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1415])).
% 28.39/4.07 thf(f1415,plain,(
% 28.39/4.07 ( ! [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) | ((~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X7 @ sK17) = $false) | (((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ($false = (exists_in_world @ X10 @ sK17)) | ((exists_in_world @ X9 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1414])).
% 28.39/4.07 thf(f1414,plain,(
% 28.39/4.07 ( ! [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) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X9 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (exists_in_world @ X10 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X6 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1413])).
% 28.39/4.07 thf(f1413,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (exists_in_world @ X10 @ sK17)) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X9 @ sK17) = $false) | (((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true)) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1412])).
% 28.39/4.07 thf(f1412,plain,(
% 28.39/4.07 ( ! [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) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | (((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((exists_in_world @ X9 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1411])).
% 28.39/4.07 thf(f1411,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X9 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (exists_in_world @ X10 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1410])).
% 28.39/4.07 thf(f1410,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ($false = (exists_in_world @ X5 @ sK17)) | ((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X9 @ sK17) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1409])).
% 28.39/4.07 thf(f1409,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X9 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X6 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1408])).
% 28.39/4.07 thf(f1408,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X1 @ sK17)) | (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X9 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (exists_in_world @ X10 @ sK17)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1407])).
% 28.39/4.07 thf(f1407,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X10 @ sK17)) | ((exists_in_world @ X8 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ((((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) = $true) | ((exists_in_world @ X9 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1406])).
% 28.39/4.07 thf(f1406,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X7 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X9 @ sK17) = $false) | (((exists_in_world @ X10 @ sK17) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK17 @ Y0)))))))) = $true) | ((exists_in_world @ X8 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1405])).
% 28.39/4.07 thf(f1405,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X9 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false) | (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ X1 @ Y1) | (~ (rel_s4 @ sK17 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X7 @ Y0 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ X9 @ X8 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X9 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ X7 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ X7 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ X7 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ X6 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ X6 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ X6 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ X6 @ X7 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ X8 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ X8 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ X8 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ X3 @ X2 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((down @ X3 @ X4 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((barrel @ X3 @ X5 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((old @ X5 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((dirty @ X5 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((white @ X5 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((car @ X5 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((chevy @ X5 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((lonely @ X4 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((way @ X4 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((street @ X4 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((event @ X3 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((city @ X2 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((hollywood @ X2 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ X1 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ X1 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ X1 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))))) @ X10) = $true) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17))) ) | ~spl0_1),
% 28.39/4.07 inference(pi_clausification,[],[f1404])).
% 28.39/4.07 thf(f1404,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ X1 @ Y1) | (~ (rel_s4 @ sK17 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X7 @ Y0 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ X9 @ X8 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X9 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ X7 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ X7 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ X7 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ X6 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ X6 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ X6 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ X6 @ X7 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ X8 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ X8 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ X8 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ X3 @ X2 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((down @ X3 @ X4 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((barrel @ X3 @ X5 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((old @ X5 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((dirty @ X5 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((white @ X5 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((car @ X5 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((chevy @ X5 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((lonely @ X4 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((way @ X4 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((street @ X4 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((event @ X3 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((city @ X2 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((hollywood @ X2 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ X1 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ X1 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ X1 @ Y1) | (~ (rel_s4 @ sK17 @ Y1)))))))))) = $true) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X9 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17))) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1403])).
% 28.39/4.07 thf(f1403,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X2 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X4 @ sK17) = $false) | (((exists_in_world @ X9 @ sK17) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ X1 @ Y1) | (~ (rel_s4 @ sK17 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X7 @ Y0 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ X9 @ X8 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X9 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ X7 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ X7 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ X7 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ X6 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ X6 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ X6 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ X6 @ X7 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ X8 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ X8 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ X8 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ X3 @ X2 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((down @ X3 @ X4 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((barrel @ X3 @ X5 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((old @ X5 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((dirty @ X5 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((white @ X5 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((car @ X5 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((chevy @ X5 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((lonely @ X4 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((way @ X4 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((street @ X4 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((event @ X3 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((city @ X2 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((hollywood @ X2 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ X1 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ X1 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ X1 @ Y1) | (~ (rel_s4 @ sK17 @ Y1))))))))))) = $true) | ((exists_in_world @ X6 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1402])).
% 28.39/4.07 thf(f1402,plain,(
% 28.39/4.07 ( ! [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 @ X4 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false) | (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ X1 @ Y2) | (~ (rel_s4 @ sK17 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ X7 @ Y1 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ X8 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ X6 @ Y0 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ X7 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ X7 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ X7 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ X6 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ X6 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ X6 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ X6 @ X7 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ X8 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ X8 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ X8 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ X3 @ X2 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((down @ X3 @ X4 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((barrel @ X3 @ X5 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((old @ X5 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((dirty @ X5 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((white @ X5 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((car @ X5 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((chevy @ X5 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((lonely @ X4 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((way @ X4 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((street @ X4 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((event @ X3 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((city @ X2 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((hollywood @ X2 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ X1 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ X1 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ X1 @ Y2) | (~ (rel_s4 @ sK17 @ Y2)))))))))))) @ X9) = $true) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(pi_clausification,[],[f1401])).
% 28.39/4.07 thf(f1401,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X1 : mu,X8 : mu,X6 : mu,X7 : mu,X4 : mu,X5 : mu] : (($true = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ X1 @ Y2) | (~ (rel_s4 @ sK17 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ X7 @ Y1 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ X8 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ X6 @ Y0 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ X7 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ X7 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ X7 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ X6 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ X6 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ X6 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ X6 @ X7 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ X8 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ X8 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ X8 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ X3 @ X2 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((down @ X3 @ X4 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((barrel @ X3 @ X5 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((old @ X5 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((dirty @ X5 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((white @ X5 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((car @ X5 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((chevy @ X5 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((lonely @ X4 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((way @ X4 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((street @ X4 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((event @ X3 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((city @ X2 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((hollywood @ X2 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ X1 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ X1 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ X1 @ Y2) | (~ (rel_s4 @ sK17 @ Y2)))))))))))))) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X8 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1400])).
% 28.39/4.07 thf(f1400,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X1 : mu,X8 : mu,X6 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false) | (((exists_in_world @ X8 @ sK17) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ X1 @ Y2) | (~ (rel_s4 @ sK17 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ X7 @ Y1 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ X8 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ X6 @ Y0 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ X7 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ X7 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ X7 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ X6 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ X6 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ X6 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ X6 @ X7 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ X8 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ X8 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ X8 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ X3 @ X2 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((down @ X3 @ X4 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((barrel @ X3 @ X5 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((old @ X5 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((dirty @ X5 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((white @ X5 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((car @ X5 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((chevy @ X5 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((lonely @ X4 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((way @ X4 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((street @ X4 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((event @ X3 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((city @ X2 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((hollywood @ X2 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ X1 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ X1 @ Y2) | (~ (rel_s4 @ sK17 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ X1 @ Y2) | (~ (rel_s4 @ sK17 @ Y2)))))))))))))) = $true) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1399])).
% 28.39/4.07 thf(f1399,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X1 : mu,X8 : mu,X6 : mu,X7 : mu,X4 : mu,X5 : mu] : (($true = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK17) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK17) => (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ sK17) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y3 : $i]: ((in @ Y2 @ X1 @ Y3) | (~ (rel_s4 @ sK17 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ X7 @ Y2 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ Y1 @ Y0 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ X6 @ Y1 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ X7 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ X7 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ X7 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ X6 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ X6 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ X6 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ X6 @ X7 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ Y0 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ Y0 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ Y0 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ X3 @ X2 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((down @ X3 @ X4 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((barrel @ X3 @ X5 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((old @ X5 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((dirty @ X5 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((white @ X5 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((car @ X5 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((chevy @ X5 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((lonely @ X4 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((way @ X4 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((street @ X4 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((event @ X3 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((city @ X2 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((hollywood @ X2 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ X1 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ X1 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ X1 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))))))))))) @ X8)) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X7 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17))) ) | ~spl0_1),
% 28.39/4.07 inference(pi_clausification,[],[f1398])).
% 28.39/4.07 thf(f1398,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X1 : mu,X6 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ 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]: ((in @ Y2 @ X1 @ Y3) | (~ (rel_s4 @ sK17 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ X7 @ Y2 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ Y1 @ Y0 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ X6 @ Y1 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ X7 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ X7 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ X7 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ X6 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ X6 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ X6 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ X6 @ X7 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ Y0 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ Y0 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ Y0 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ X3 @ X2 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((down @ X3 @ X4 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((barrel @ X3 @ X5 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((old @ X5 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((dirty @ X5 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((white @ X5 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((car @ X5 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((chevy @ X5 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((lonely @ X4 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((way @ X4 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((street @ X4 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((event @ X3 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((city @ X2 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((hollywood @ X2 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ X1 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ X1 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ X1 @ Y3) | (~ (rel_s4 @ sK17 @ Y3)))))))))))))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X7 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1397])).
% 28.39/4.07 thf(f1397,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X1 : mu,X6 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X5 @ sK17)) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | (((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]: ((in @ Y2 @ X1 @ Y3) | (~ (rel_s4 @ sK17 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ X7 @ Y2 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ Y1 @ Y0 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ X6 @ Y1 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ X7 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ X7 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ X7 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ X6 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ X6 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ X6 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ X6 @ X7 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ Y0 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ Y0 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ Y0 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ X3 @ X2 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((down @ X3 @ X4 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((barrel @ X3 @ X5 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((old @ X5 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((dirty @ X5 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((white @ X5 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((car @ X5 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((chevy @ X5 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((lonely @ X4 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((way @ X4 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((street @ X4 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((event @ X3 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((city @ X2 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((hollywood @ X2 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ X1 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ X1 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ X1 @ Y3) | (~ (rel_s4 @ sK17 @ Y3))))))))))))))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1396])).
% 28.39/4.07 thf(f1396,plain,(
% 28.39/4.07 ( ! [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) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | (((^[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]: ((in @ Y3 @ X1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ Y2 @ Y1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ X6 @ Y2 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ Y0 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ Y0 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ Y0 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ X6 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ X6 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ X6 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ X6 @ Y0 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ Y1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ Y1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ Y1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ X3 @ X2 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((down @ X3 @ X4 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((barrel @ X3 @ X5 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((old @ X5 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((dirty @ X5 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((white @ X5 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((car @ X5 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((chevy @ X5 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((lonely @ X4 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((way @ X4 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((street @ X4 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((event @ X3 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((city @ X2 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((hollywood @ X2 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ X1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ X1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ X1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4)))))))))))))))))) @ X7) = $true) | ((exists_in_world @ X6 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(pi_clausification,[],[f1395])).
% 28.39/4.07 thf(f1395,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X1 : mu,X6 : mu,X4 : mu,X5 : mu] : (((!! @ 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]: ((in @ Y3 @ X1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ Y2 @ Y1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ X6 @ Y2 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ Y0 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ Y0 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ Y0 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ X6 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ X6 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ X6 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ X6 @ Y0 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ Y1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ Y1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ Y1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ X3 @ X2 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((down @ X3 @ X4 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((barrel @ X3 @ X5 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((old @ X5 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((dirty @ X5 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((white @ X5 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((car @ X5 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((chevy @ X5 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((lonely @ X4 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((way @ X4 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((street @ X4 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((event @ X3 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((city @ X2 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((hollywood @ X2 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ X1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ X1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ X1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))))))))))))))) = $true) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X6 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X3 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1394])).
% 28.39/4.07 thf(f1394,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X1 : mu,X6 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X4 @ sK17) = $false) | (((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]: ((in @ Y3 @ X1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ Y2 @ Y1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ X6 @ Y2 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ Y0 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ Y0 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ Y0 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ X6 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ X6 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ X6 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ X6 @ Y0 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ Y1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ Y1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ Y1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ X3 @ X2 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((down @ X3 @ X4 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((barrel @ X3 @ X5 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((old @ X5 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((dirty @ X5 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((white @ X5 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((car @ X5 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((chevy @ X5 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((lonely @ X4 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((way @ X4 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((street @ X4 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((event @ X3 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((city @ X2 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((hollywood @ X2 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ X1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ X1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ X1 @ Y4) | (~ (rel_s4 @ sK17 @ Y4)))))))))))))))))))) = $true) | ($false = (exists_in_world @ X1 @ sK17)) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X3 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1393])).
% 28.39/4.07 thf(f1393,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X1 : mu,X6 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X4 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((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) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y5 : $i]: ((in @ Y4 @ X1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ Y3 @ Y2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y0 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y0 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y0 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y0 @ Y1 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ Y2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ Y2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ Y2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ X3 @ X2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((down @ X3 @ X4 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((barrel @ X3 @ X5 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((old @ X5 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((dirty @ X5 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((white @ X5 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((car @ X5 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((chevy @ X5 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((lonely @ X4 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((way @ X4 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((street @ X4 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((event @ X3 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((city @ X2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((hollywood @ X2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ X1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ X1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ X1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))))))))))))))))) @ X6) = $true)) ) | ~spl0_1),
% 28.39/4.07 inference(pi_clausification,[],[f1392])).
% 28.39/4.07 thf(f1392,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X1 : mu,X4 : mu,X5 : mu] : (((!! @ 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]: ((in @ Y4 @ X1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ Y3 @ Y2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y0 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y0 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y0 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y0 @ Y1 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ Y2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ Y2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ Y2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ X3 @ X2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((down @ X3 @ X4 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((barrel @ X3 @ X5 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((old @ X5 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((dirty @ X5 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((white @ X5 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((car @ X5 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((chevy @ X5 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((lonely @ X4 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((way @ X4 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((street @ X4 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((event @ X3 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((city @ X2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((hollywood @ X2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ X1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ X1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ X1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5)))))))))))))))))))))) = $true) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (exists_in_world @ X5 @ sK17)) | ((exists_in_world @ X4 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1391])).
% 28.39/4.07 thf(f1391,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X1 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X2 @ 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]: ((in @ Y4 @ X1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ Y3 @ Y2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y0 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y0 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y0 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y0 @ Y1 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ Y2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ Y2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ Y2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ X3 @ X2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((down @ X3 @ X4 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((barrel @ X3 @ X5 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((old @ X5 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((dirty @ X5 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((white @ X5 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((car @ X5 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((chevy @ X5 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((lonely @ X4 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((way @ X4 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((street @ X4 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((event @ X3 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((city @ X2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((hollywood @ X2 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ X1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ X1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ X1 @ Y5) | (~ (rel_s4 @ sK17 @ Y5))))))))))))))))))))))) = $true) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X4 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1390])).
% 28.39/4.07 thf(f1390,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X1 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X4 @ sK17) = $false) | ($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) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y6 : $i]: ((in @ Y5 @ X1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6)))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ Y4 @ Y3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y1 @ Y2 @ Y7) | (~ (rel_s4 @ Y6 @ Y7)))))) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ Y3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ Y3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ Y3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ X3 @ X2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((down @ X3 @ X4 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((barrel @ X3 @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((old @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((dirty @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((white @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((car @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((chevy @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((lonely @ X4 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((way @ X4 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((street @ X4 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((event @ X3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((city @ X2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((hollywood @ X2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ X1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ X1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ X1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6)))))))))))))))))))))))) @ X5)) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17))) ) | ~spl0_1),
% 28.39/4.07 inference(pi_clausification,[],[f1389])).
% 28.39/4.07 thf(f1389,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X1 : mu,X4 : 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) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y6 : $i]: ((in @ Y5 @ X1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6)))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ Y4 @ Y3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y1 @ Y2 @ Y7) | (~ (rel_s4 @ Y6 @ Y7)))))) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ Y3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ Y3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ Y3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ X3 @ X2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((down @ X3 @ X4 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((barrel @ X3 @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((old @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((dirty @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((white @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((car @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((chevy @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((lonely @ X4 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((way @ X4 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((street @ X4 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((event @ X3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((city @ X2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((hollywood @ X2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ X1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ X1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ X1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6)))))))))))))))))))))))))) | ((exists_in_world @ X4 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1388])).
% 28.39/4.07 thf(f1388,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X1 : mu,X4 : mu] : ((((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]: ((in @ Y5 @ X1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6)))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ Y4 @ Y3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y1 @ Y2 @ Y7) | (~ (rel_s4 @ Y6 @ Y7)))))) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ Y3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ Y3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ Y3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ X3 @ X2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((down @ X3 @ X4 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((barrel @ X3 @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((old @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((dirty @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((white @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((car @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((chevy @ Y0 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((lonely @ X4 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((way @ X4 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((street @ X4 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((event @ X3 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((city @ X2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((hollywood @ X2 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ X1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ X1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ X1 @ Y6) | (~ (rel_s4 @ sK17 @ Y6)))))))))))))))))))))))))) = $true) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X2 @ sK17) = $false) | ((exists_in_world @ X3 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1387])).
% 28.39/4.07 thf(f1387,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X1 : mu,X4 : mu] : (($false = (exists_in_world @ X1 @ sK17)) | ((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]: ((in @ Y6 @ X1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7)))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ Y5 @ Y4 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y3 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y3 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y3 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y2 @ Y3 @ Y8) | (~ (rel_s4 @ Y7 @ Y8)))))) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ Y4 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ Y4 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ Y4 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ X3 @ X2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((down @ X3 @ Y0 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((barrel @ X3 @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((old @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((dirty @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((white @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((car @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((chevy @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((lonely @ Y0 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((way @ Y0 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((street @ Y0 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((event @ X3 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((city @ X2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((hollywood @ X2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ X1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ X1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ X1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))))))))))))))))))))))) @ X4) = $true) | ((exists_in_world @ X3 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(pi_clausification,[],[f1386])).
% 28.39/4.07 thf(f1386,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X1 : mu] : (((!! @ 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]: ((in @ Y6 @ X1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7)))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ Y5 @ Y4 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y3 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y3 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y3 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y2 @ Y3 @ Y8) | (~ (rel_s4 @ Y7 @ Y8)))))) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ Y4 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ Y4 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ Y4 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ X3 @ X2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((down @ X3 @ Y0 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((barrel @ X3 @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((old @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((dirty @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((white @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((car @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((chevy @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((lonely @ Y0 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((way @ Y0 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((street @ Y0 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((event @ X3 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((city @ X2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((hollywood @ X2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ X1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ X1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ X1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7)))))))))))))))))))))))))))) = $true) | ($false = (exists_in_world @ X1 @ sK17)) | ((exists_in_world @ X3 @ sK17) = $false) | ((exists_in_world @ X2 @ sK17) = $false)) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1385])).
% 28.39/4.07 thf(f1385,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X1 : mu] : (((exists_in_world @ X2 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17)) | (((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]: ((in @ Y6 @ X1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7)))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ Y5 @ Y4 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y3 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y3 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y3 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y2 @ Y3 @ Y8) | (~ (rel_s4 @ Y7 @ Y8)))))) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ Y4 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ Y4 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ Y4 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ X3 @ X2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((down @ X3 @ Y0 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((barrel @ X3 @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((old @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((dirty @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((white @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((car @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((chevy @ Y1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((lonely @ Y0 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((way @ Y0 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((street @ Y0 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((event @ X3 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((city @ X2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((hollywood @ X2 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ X1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ X1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ X1 @ Y7) | (~ (rel_s4 @ sK17 @ Y7))))))))))))))))))))))))))))) = $true)) ) | ~spl0_1),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1384])).
% 28.39/4.07 thf(f1384,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : 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) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y7 @ X1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8)))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y6 @ Y5 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y4 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y4 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y4 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y3 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y3 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y3 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y3 @ Y4 @ Y9) | (~ (rel_s4 @ Y8 @ Y9)))))) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ Y5 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ Y5 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ Y5 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y0 @ X2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((down @ Y0 @ Y1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((barrel @ Y0 @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((old @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((dirty @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((white @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((car @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((chevy @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((lonely @ Y1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((way @ Y1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((street @ Y1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((event @ Y0 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((city @ X2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((hollywood @ X2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ X1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ X1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ X1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8)))))))))))))))))))))))))))))) @ X3) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17))) ) | ~spl0_1),
% 28.39/4.07 inference(pi_clausification,[],[f1383])).
% 28.39/4.07 thf(f1383,plain,(
% 28.39/4.07 ( ! [X2 : mu,X1 : mu] : (((!! @ 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]: ((in @ Y7 @ X1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8)))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y6 @ Y5 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y4 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y4 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y4 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y3 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y3 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y3 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y3 @ Y4 @ Y9) | (~ (rel_s4 @ Y8 @ Y9)))))) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ Y5 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ Y5 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ Y5 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y0 @ X2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((down @ Y0 @ Y1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((barrel @ Y0 @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((old @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((dirty @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((white @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((car @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((chevy @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((lonely @ Y1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((way @ Y1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((street @ Y1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((event @ Y0 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((city @ X2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((hollywood @ X2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ X1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ X1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ X1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))))))))))))))))))))))))))) = $true) | ((exists_in_world @ X2 @ sK17) = $false) | ($false = (exists_in_world @ X1 @ sK17))) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1382])).
% 28.39/4.07 thf(f1382,plain,(
% 28.39/4.07 ( ! [X2 : mu,X1 : mu] : (($false = (exists_in_world @ X1 @ sK17)) | (((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]: ((in @ Y7 @ X1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8)))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y6 @ Y5 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y4 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y4 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y4 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y3 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y3 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y3 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y3 @ Y4 @ Y9) | (~ (rel_s4 @ Y8 @ Y9)))))) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ Y5 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ Y5 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ Y5 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y0 @ X2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((down @ Y0 @ Y1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((barrel @ Y0 @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((old @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((dirty @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((white @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((car @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((chevy @ Y2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((lonely @ Y1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((way @ Y1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((street @ Y1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((event @ Y0 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((city @ X2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((hollywood @ X2 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ X1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ X1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ X1 @ Y8) | (~ (rel_s4 @ sK17 @ Y8)))))))))))))))))))))))))))))))) = $true)) ) | ~spl0_1),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1381])).
% 28.39/4.07 thf(f1381,plain,(
% 28.39/4.07 ( ! [X2 : mu,X1 : mu] : (($false = (exists_in_world @ X1 @ sK17)) | (((^[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]: ((in @ Y8 @ X1 @ Y9) | (~ (rel_s4 @ sK17 @ Y9)))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y7 @ Y6 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y5 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y5 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y5 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y4 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y4 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y4 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y4 @ Y5 @ Y10) | (~ (rel_s4 @ Y9 @ Y10)))))) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ Y6 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ Y6 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ Y6 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y1 @ Y0 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((down @ Y1 @ Y2 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((barrel @ Y1 @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((old @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((dirty @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((white @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((car @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((chevy @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((lonely @ Y2 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((way @ Y2 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((street @ Y2 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((event @ Y1 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((city @ Y0 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((hollywood @ Y0 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ X1 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ X1 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ X1 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))))))))))))))))))))))))))))) @ X2) = $true)) ) | ~spl0_1),
% 28.39/4.07 inference(pi_clausification,[],[f1369])).
% 28.39/4.07 thf(f1369,plain,(
% 28.39/4.07 ( ! [X1 : mu] : (((!! @ 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]: ((in @ Y8 @ X1 @ Y9) | (~ (rel_s4 @ sK17 @ Y9)))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y7 @ Y6 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y5 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y5 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y5 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y4 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y4 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y4 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y4 @ Y5 @ Y10) | (~ (rel_s4 @ Y9 @ Y10)))))) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ Y6 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ Y6 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ Y6 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y1 @ Y0 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((down @ Y1 @ Y2 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((barrel @ Y1 @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((old @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((dirty @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((white @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((car @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((chevy @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((lonely @ Y2 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((way @ Y2 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((street @ Y2 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((event @ Y1 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((city @ Y0 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((hollywood @ Y0 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ X1 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ X1 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ X1 @ Y9) | (~ (rel_s4 @ sK17 @ Y9)))))))))))))))))))))))))))))))))) = $true) | ($false = (exists_in_world @ X1 @ sK17))) ) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1368])).
% 28.39/4.07 thf(f1368,plain,(
% 28.39/4.07 ( ! [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]: ((in @ Y8 @ X1 @ Y9) | (~ (rel_s4 @ sK17 @ Y9)))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y7 @ Y6 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y5 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y5 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y5 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y4 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y4 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y4 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y4 @ Y5 @ Y10) | (~ (rel_s4 @ Y9 @ Y10)))))) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ Y6 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ Y6 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ Y6 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y1 @ Y0 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((down @ Y1 @ Y2 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((barrel @ Y1 @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((old @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((dirty @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((white @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((car @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((chevy @ Y3 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((lonely @ Y2 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((way @ Y2 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((street @ Y2 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((event @ Y1 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((city @ Y0 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((hollywood @ Y0 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ X1 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ X1 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ X1 @ Y9) | (~ (rel_s4 @ sK17 @ Y9))))))))))))))))))))))))))))))))))) = $true)) ) | ~spl0_1),
% 28.39/4.07 inference(beta_eta_normalization,[],[f1367])).
% 28.39/4.07 thf(f1367,plain,(
% 28.39/4.07 ( ! [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) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ sK17) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y9 @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10)))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y8 @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y5 @ Y6 @ Y11) | (~ (rel_s4 @ Y10 @ Y11)))))) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y2 @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((down @ Y2 @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((barrel @ Y2 @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((old @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((dirty @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((white @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((car @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((chevy @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((lonely @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((way @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((street @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((event @ Y2 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((city @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((hollywood @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10)))))))))))))))))))))))))))))))))))) @ X1) = $true)) ) | ~spl0_1),
% 28.39/4.07 inference(pi_clausification,[],[f1109])).
% 28.39/4.07 thf(f1109,plain,(
% 28.39/4.07 ((!! @ 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]: ((in @ Y9 @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10)))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y8 @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y5 @ Y6 @ Y11) | (~ (rel_s4 @ Y10 @ Y11)))))) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y2 @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((down @ Y2 @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((barrel @ Y2 @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((old @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((dirty @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((white @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((car @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((chevy @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((lonely @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((way @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((street @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((event @ Y2 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((city @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((hollywood @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))))))))))))))))))))))))))))))))) = $true) | ~spl0_1),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1108])).
% 28.39/4.07 thf(f1108,plain,(
% 28.39/4.07 ($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]: ((in @ Y9 @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10)))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y8 @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y6 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y5 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y5 @ Y6 @ Y11) | (~ (rel_s4 @ Y10 @ Y11)))))) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y7 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y2 @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((down @ Y2 @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((barrel @ Y2 @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((old @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((dirty @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((white @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((car @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((chevy @ Y4 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((lonely @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((way @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((street @ Y3 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((event @ Y2 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((city @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((hollywood @ Y1 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y0 @ Y10) | (~ (rel_s4 @ sK17 @ Y10))))))))))))))))))))))))))))))))))))))) | ~spl0_1),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f1106])).
% 28.39/4.07 thf(f1102,plain,(
% 28.39/4.07 spl0_28 | spl0_29 | ~spl0_2 | ~spl0_25),
% 28.39/4.07 inference(avatar_split_clause,[],[f1101,f1009,f437,f1084,f1081])).
% 28.39/4.07 thf(f1009,plain,(
% 28.39/4.07 spl0_25 <=> ! [X3 : mu,X4 : mu,X5 : mu,X2 : mu] : (($false = (exists_in_world @ X5 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false))),
% 28.39/4.07 introduced(avatar_definition,[new_symbols(naming,[spl0_25])])).
% 28.39/4.07 thf(f1101,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (($false = (exists_in_world @ X1 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((white @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | (~spl0_2 | ~spl0_25)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1100])).
% 28.39/4.07 thf(f1100,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK3)) | ($false = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((white @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | (~spl0_2 | ~spl0_25)),
% 28.39/4.07 inference(forward_demodulation,[],[f1099,f464])).
% 28.39/4.07 thf(f464,plain,(
% 28.39/4.07 ((exists_in_world @ sK7 @ sK3) = $true) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f462])).
% 28.39/4.07 thf(f462,plain,(
% 28.39/4.07 (((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]: ((in @ Y5 @ sK4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6)))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ Y4 @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y1 @ Y2 @ Y7) | (~ (rel_s4 @ Y6 @ Y7)))))) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ sK6 @ sK5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((down @ sK6 @ sK7 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((barrel @ sK6 @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((old @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((dirty @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((white @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((car @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((chevy @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((lonely @ sK7 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((way @ sK7 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((street @ sK7 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((event @ sK6 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((city @ sK5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((hollywood @ sK5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ sK4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ sK4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ sK4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6)))))))))))))))))))))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(beta_eta_normalization,[],[f461])).
% 28.39/4.07 thf(f461,plain,(
% 28.39/4.07 ($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) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y7 : $i]: ((in @ Y6 @ sK4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7)))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ Y5 @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y2 @ Y3 @ Y8) | (~ (rel_s4 @ Y7 @ Y8)))))) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ sK6 @ sK5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((down @ sK6 @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((barrel @ sK6 @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((old @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((dirty @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((white @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((car @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((chevy @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((lonely @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((way @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((street @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((event @ sK6 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((city @ sK5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((hollywood @ sK5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ sK4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ sK4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ sK4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))))))))))))))))))))))) @ sK7)) | ~spl0_2),
% 28.39/4.07 inference(sigma_clausification,[],[f459])).
% 28.39/4.07 thf(f459,plain,(
% 28.39/4.07 ((!! @ 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]: ((in @ Y6 @ sK4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7)))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ Y5 @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y2 @ Y3 @ Y8) | (~ (rel_s4 @ Y7 @ Y8)))))) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ sK6 @ sK5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((down @ sK6 @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((barrel @ sK6 @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((old @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((dirty @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((white @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((car @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((chevy @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((lonely @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((way @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((street @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((event @ sK6 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((city @ sK5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((hollywood @ sK5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ sK4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ sK4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ sK4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7)))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f458])).
% 28.39/4.07 thf(f458,plain,(
% 28.39/4.07 ($false = ((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]: ((in @ Y6 @ sK4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7)))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ Y5 @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y2 @ Y3 @ Y8) | (~ (rel_s4 @ Y7 @ Y8)))))) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ sK6 @ sK5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((down @ sK6 @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((barrel @ sK6 @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((old @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((dirty @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((white @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((car @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((chevy @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((lonely @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((way @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((street @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((event @ sK6 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((city @ sK5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((hollywood @ sK5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ sK4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ sK4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ sK4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7)))))))))))))))))))))))))))))) | ~spl0_2),
% 28.39/4.07 inference(beta_eta_normalization,[],[f457])).
% 28.39/4.07 thf(f457,plain,(
% 28.39/4.07 ($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]: ((in @ Y7 @ sK4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8)))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y6 @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y3 @ Y4 @ Y9) | (~ (rel_s4 @ Y8 @ Y9)))))) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y0 @ sK5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((down @ Y0 @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((barrel @ Y0 @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((old @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((dirty @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((white @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((car @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((chevy @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((lonely @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((way @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((street @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((event @ Y0 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((city @ sK5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((hollywood @ sK5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ sK4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ sK4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ sK4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8)))))))))))))))))))))))))))))) @ sK6)) | ~spl0_2),
% 28.39/4.07 inference(sigma_clausification,[],[f455])).
% 28.39/4.07 thf(f455,plain,(
% 28.39/4.07 ((!! @ 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]: ((in @ Y7 @ sK4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8)))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y6 @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y3 @ Y4 @ Y9) | (~ (rel_s4 @ Y8 @ Y9)))))) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y0 @ sK5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((down @ Y0 @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((barrel @ Y0 @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((old @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((dirty @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((white @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((car @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((chevy @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((lonely @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((way @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((street @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((event @ Y0 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((city @ sK5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((hollywood @ sK5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ sK4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ sK4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ sK4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f454])).
% 28.39/4.07 thf(f454,plain,(
% 28.39/4.07 ($false = ((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]: ((in @ Y7 @ sK4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8)))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y6 @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y3 @ Y4 @ Y9) | (~ (rel_s4 @ Y8 @ Y9)))))) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y0 @ sK5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((down @ Y0 @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((barrel @ Y0 @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((old @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((dirty @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((white @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((car @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((chevy @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((lonely @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((way @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((street @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((event @ Y0 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((city @ sK5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((hollywood @ sK5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ sK4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ sK4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ sK4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))))))))))))))))))))))))))))) | ~spl0_2),
% 28.39/4.07 inference(beta_eta_normalization,[],[f453])).
% 28.39/4.07 thf(f453,plain,(
% 28.39/4.07 ($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]: ((in @ Y8 @ sK4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9)))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y7 @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y4 @ Y5 @ Y10) | (~ (rel_s4 @ Y9 @ Y10)))))) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y1 @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((down @ Y1 @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((barrel @ Y1 @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((old @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((dirty @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((white @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((car @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((chevy @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((lonely @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((way @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((street @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((event @ Y1 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((city @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((hollywood @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ sK4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ sK4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ sK4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))))))))))))))))))))))))))))) @ sK5)) | ~spl0_2),
% 28.39/4.07 inference(sigma_clausification,[],[f451])).
% 28.39/4.07 thf(f451,plain,(
% 28.39/4.07 ((!! @ 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]: ((in @ Y8 @ sK4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9)))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y7 @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y4 @ Y5 @ Y10) | (~ (rel_s4 @ Y9 @ Y10)))))) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y1 @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((down @ Y1 @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((barrel @ Y1 @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((old @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((dirty @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((white @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((car @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((chevy @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((lonely @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((way @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((street @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((event @ Y1 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((city @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((hollywood @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ sK4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ sK4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ sK4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9)))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f450])).
% 28.39/4.07 thf(f450,plain,(
% 28.39/4.07 ($false = ((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]: ((in @ Y8 @ sK4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9)))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y7 @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y4 @ Y5 @ Y10) | (~ (rel_s4 @ Y9 @ Y10)))))) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y1 @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((down @ Y1 @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((barrel @ Y1 @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((old @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((dirty @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((white @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((car @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((chevy @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((lonely @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((way @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((street @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((event @ Y1 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((city @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((hollywood @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ sK4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ sK4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ sK4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9)))))))))))))))))))))))))))))))))))) | ~spl0_2),
% 28.39/4.07 inference(beta_eta_normalization,[],[f449])).
% 28.39/4.07 thf(f449,plain,(
% 28.39/4.07 (((^[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]: ((in @ Y9 @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10)))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y8 @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y5 @ Y6 @ Y11) | (~ (rel_s4 @ Y10 @ Y11)))))) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y2 @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((down @ Y2 @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((barrel @ Y2 @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((old @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((dirty @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((white @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((car @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((chevy @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((lonely @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((way @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((street @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((event @ Y2 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((city @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((hollywood @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10)))))))))))))))))))))))))))))))))))) @ sK4) = $false) | ~spl0_2),
% 28.39/4.07 inference(sigma_clausification,[],[f446])).
% 28.39/4.07 thf(f446,plain,(
% 28.39/4.07 ((!! @ 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]: ((in @ Y9 @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10)))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y8 @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y5 @ Y6 @ Y11) | (~ (rel_s4 @ Y10 @ Y11)))))) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y2 @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((down @ Y2 @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((barrel @ Y2 @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((old @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((dirty @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((white @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((car @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((chevy @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((lonely @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((way @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((street @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((event @ Y2 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((city @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((hollywood @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f444])).
% 28.39/4.07 thf(f444,plain,(
% 28.39/4.07 ($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]: ((in @ Y9 @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10)))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y8 @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y5 @ Y6 @ Y11) | (~ (rel_s4 @ Y10 @ Y11)))))) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y2 @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((down @ Y2 @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((barrel @ Y2 @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((old @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((dirty @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((white @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((car @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((chevy @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((lonely @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((way @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((street @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((event @ Y2 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((city @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((hollywood @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ 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]: ((in @ Y9 @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10)))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y8 @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y5 @ Y6 @ Y11) | (~ (rel_s4 @ Y10 @ Y11)))))) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y2 @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((down @ Y2 @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((barrel @ Y2 @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((old @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((dirty @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((white @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((car @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((chevy @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((lonely @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((way @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((street @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((event @ Y2 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((city @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((hollywood @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))))))))))))))))))))))))))))))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f442])).
% 28.39/4.07 thf(f442,plain,(
% 28.39/4.07 ($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]: ((in @ Y9 @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10)))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y8 @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y5 @ Y6 @ Y11) | (~ (rel_s4 @ Y10 @ Y11)))))) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y2 @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((down @ Y2 @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((barrel @ Y2 @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((old @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((dirty @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((white @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((car @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((chevy @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((lonely @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((way @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((street @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((event @ Y2 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((city @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((hollywood @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ 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]: ((in @ Y9 @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10)))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y8 @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y5 @ Y6 @ Y11) | (~ (rel_s4 @ Y10 @ Y11)))))) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y2 @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((down @ Y2 @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((barrel @ Y2 @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((old @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((dirty @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((white @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((car @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((chevy @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((lonely @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((way @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((street @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((event @ Y2 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((city @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((hollywood @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ sK2 @ sK3)))) | ~spl0_2),
% 28.39/4.07 inference(beta_eta_normalization,[],[f441])).
% 28.39/4.07 thf(f441,plain,(
% 28.39/4.07 ($false = ((^[Y0 : $i]: (((~ (!! @ 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]: ((in @ Y10 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ 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]: ((in @ Y10 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ sK2 @ Y0)))) @ sK3)) | ~spl0_2),
% 28.39/4.07 inference(sigma_clausification,[],[f439])).
% 28.39/4.07 thf(f1099,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (((exists_in_world @ sK7 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((white @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3))) ) | (~spl0_2 | ~spl0_25)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1098])).
% 28.39/4.07 thf(f1098,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((white @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = $true) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ sK7 @ sK3) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | (~spl0_2 | ~spl0_25)),
% 28.39/4.07 inference(forward_demodulation,[],[f1097,f505])).
% 28.39/4.07 thf(f505,plain,(
% 28.39/4.07 ($true = (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f503])).
% 28.39/4.07 thf(f503,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f502])).
% 28.39/4.07 thf(f502,plain,(
% 28.39/4.07 ($false = (((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f500])).
% 28.39/4.07 thf(f500,plain,(
% 28.39/4.07 (((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ sK6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f498])).
% 28.39/4.07 thf(f498,plain,(
% 28.39/4.07 ((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ sK6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f495])).
% 28.39/4.07 thf(f495,plain,(
% 28.39/4.07 (((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ sK6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f493])).
% 28.39/4.07 thf(f493,plain,(
% 28.39/4.07 ((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ sK6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f490])).
% 28.39/4.07 thf(f490,plain,(
% 28.39/4.07 (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ sK6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f487])).
% 28.39/4.07 thf(f487,plain,(
% 28.39/4.07 ((((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ sK6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f486])).
% 28.39/4.07 thf(f486,plain,(
% 28.39/4.07 (((exists_in_world @ sK13 @ sK3) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ sK6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(beta_eta_normalization,[],[f485])).
% 28.39/4.07 thf(f485,plain,(
% 28.39/4.07 (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ sK4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK10 @ Y0 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ sK12 @ sK11 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ sK10 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ sK10 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ sK10 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ sK9 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ sK9 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ sK9 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ sK11 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ sK11 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ sK11 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ sK6 @ sK5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((down @ sK6 @ sK7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((barrel @ sK6 @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((old @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((dirty @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((white @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((car @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((chevy @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((lonely @ sK7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((way @ sK7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((street @ sK7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((event @ sK6 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((city @ sK5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((hollywood @ sK5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ sK4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ sK4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ sK4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))))) @ sK13) = $false) | ~spl0_2),
% 28.39/4.07 inference(sigma_clausification,[],[f483])).
% 28.39/4.07 thf(f483,plain,(
% 28.39/4.07 ($false = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ sK4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK10 @ Y0 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ sK12 @ sK11 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ sK10 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ sK10 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ sK10 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ sK9 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ sK9 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ sK9 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ sK11 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ sK11 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ sK11 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ sK6 @ sK5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((down @ sK6 @ sK7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((barrel @ sK6 @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((old @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((dirty @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((white @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((car @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((chevy @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((lonely @ sK7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((way @ sK7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((street @ sK7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((event @ sK6 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((city @ sK5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((hollywood @ sK5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ sK4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ sK4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ sK4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f482])).
% 28.39/4.07 thf(f482,plain,(
% 28.39/4.07 (((exists_in_world @ sK12 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ sK4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK10 @ Y0 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ sK12 @ sK11 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ sK10 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ sK10 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ sK10 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ sK9 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ sK9 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ sK9 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ sK11 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ sK11 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ sK11 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ sK6 @ sK5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((down @ sK6 @ sK7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((barrel @ sK6 @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((old @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((dirty @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((white @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((car @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((chevy @ sK8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((lonely @ sK7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((way @ sK7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((street @ sK7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((event @ sK6 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((city @ sK5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((hollywood @ sK5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ sK4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ sK4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ sK4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(beta_eta_normalization,[],[f481])).
% 28.39/4.07 thf(f481,plain,(
% 28.39/4.07 (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ sK4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK10 @ Y1 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ sK11 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK9 @ Y0 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ sK10 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ sK10 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ sK10 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ sK9 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ sK9 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ sK9 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ sK11 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ sK11 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ sK11 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ sK6 @ sK5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((down @ sK6 @ sK7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((barrel @ sK6 @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((old @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((dirty @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((white @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((car @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((chevy @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((lonely @ sK7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((way @ sK7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((street @ sK7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((event @ sK6 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((city @ sK5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((hollywood @ sK5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ sK4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ sK4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ sK4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2)))))))))))) @ sK12) = $false) | ~spl0_2),
% 28.39/4.07 inference(sigma_clausification,[],[f479])).
% 28.39/4.07 thf(f479,plain,(
% 28.39/4.07 ($false = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ sK4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK10 @ Y1 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ sK11 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK9 @ Y0 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ sK10 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ sK10 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ sK10 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ sK9 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ sK9 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ sK9 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ sK11 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ sK11 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ sK11 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ sK6 @ sK5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((down @ sK6 @ sK7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((barrel @ sK6 @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((old @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((dirty @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((white @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((car @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((chevy @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((lonely @ sK7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((way @ sK7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((street @ sK7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((event @ sK6 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((city @ sK5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((hollywood @ sK5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ sK4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ sK4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ sK4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2)))))))))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f478])).
% 28.39/4.07 thf(f478,plain,(
% 28.39/4.07 (((exists_in_world @ sK11 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ sK4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK10 @ Y1 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ sK11 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ sK9 @ Y0 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ sK10 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ sK10 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ sK10 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ sK9 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ sK9 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ sK9 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ sK11 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ sK11 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ sK11 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ sK6 @ sK5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((down @ sK6 @ sK7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((barrel @ sK6 @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((old @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((dirty @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((white @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((car @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((chevy @ sK8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((lonely @ sK7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((way @ sK7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((street @ sK7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((event @ sK6 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((city @ sK5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((hollywood @ sK5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ sK4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ sK4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ sK4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2)))))))))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(beta_eta_normalization,[],[f477])).
% 28.39/4.07 thf(f477,plain,(
% 28.39/4.07 (((^[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]: ((in @ Y2 @ sK4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK10 @ Y2 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ Y1 @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK9 @ Y1 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ sK10 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ sK10 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ sK10 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ sK9 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ sK9 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ sK9 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ sK6 @ sK5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((down @ sK6 @ sK7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((barrel @ sK6 @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((old @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((dirty @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((white @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((car @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((chevy @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((lonely @ sK7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((way @ sK7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((street @ sK7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((event @ sK6 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((city @ sK5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((hollywood @ sK5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ sK4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ sK4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ sK4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))))))))))) @ sK11) = $false) | ~spl0_2),
% 28.39/4.07 inference(sigma_clausification,[],[f475])).
% 28.39/4.07 thf(f475,plain,(
% 28.39/4.07 ((!! @ 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]: ((in @ Y2 @ sK4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK10 @ Y2 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ Y1 @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK9 @ Y1 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ sK10 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ sK10 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ sK10 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ sK9 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ sK9 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ sK9 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ sK6 @ sK5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((down @ sK6 @ sK7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((barrel @ sK6 @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((old @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((dirty @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((white @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((car @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((chevy @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((lonely @ sK7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((way @ sK7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((street @ sK7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((event @ sK6 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((city @ sK5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((hollywood @ sK5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ sK4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ sK4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ sK4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3)))))))))))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f474])).
% 28.39/4.07 thf(f474,plain,(
% 28.39/4.07 ($false = ((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]: ((in @ Y2 @ sK4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK10 @ Y2 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ Y1 @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ sK9 @ Y1 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ sK10 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ sK10 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ sK10 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ sK9 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ sK9 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ sK9 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ sK6 @ sK5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((down @ sK6 @ sK7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((barrel @ sK6 @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((old @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((dirty @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((white @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((car @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((chevy @ sK8 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((lonely @ sK7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((way @ sK7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((street @ sK7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((event @ sK6 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((city @ sK5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((hollywood @ sK5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ sK4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ sK4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ sK4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3)))))))))))))))))) | ~spl0_2),
% 28.39/4.07 inference(beta_eta_normalization,[],[f473])).
% 28.39/4.07 thf(f473,plain,(
% 28.39/4.07 ($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) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y4 : $i]: ((in @ Y3 @ sK4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ Y2 @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ sK9 @ Y2 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ sK9 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ sK9 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ sK9 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ sK9 @ Y0 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ sK6 @ sK5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((down @ sK6 @ sK7 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((barrel @ sK6 @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((old @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((dirty @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((white @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((car @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((chevy @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((lonely @ sK7 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((way @ sK7 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((street @ sK7 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((event @ sK6 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((city @ sK5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((hollywood @ sK5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ sK4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ sK4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ sK4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4)))))))))))))))))) @ sK10)) | ~spl0_2),
% 28.39/4.07 inference(sigma_clausification,[],[f471])).
% 28.39/4.07 thf(f471,plain,(
% 28.39/4.07 ((!! @ 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]: ((in @ Y3 @ sK4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ Y2 @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ sK9 @ Y2 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ sK9 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ sK9 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ sK9 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ sK9 @ Y0 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ sK6 @ sK5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((down @ sK6 @ sK7 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((barrel @ sK6 @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((old @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((dirty @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((white @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((car @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((chevy @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((lonely @ sK7 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((way @ sK7 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((street @ sK7 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((event @ sK6 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((city @ sK5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((hollywood @ sK5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ sK4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ sK4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ sK4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))))))))))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f470])).
% 28.39/4.07 thf(f470,plain,(
% 28.39/4.07 ($false = ((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]: ((in @ Y3 @ sK4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ Y2 @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ sK9 @ Y2 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ sK9 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ sK9 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ sK9 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ sK9 @ Y0 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ sK6 @ sK5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((down @ sK6 @ sK7 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((barrel @ sK6 @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((old @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((dirty @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((white @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((car @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((chevy @ sK8 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((lonely @ sK7 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((way @ sK7 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((street @ sK7 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((event @ sK6 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((city @ sK5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((hollywood @ sK5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ sK4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ sK4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ sK4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))))))))))))))))) | ~spl0_2),
% 28.39/4.07 inference(beta_eta_normalization,[],[f469])).
% 28.39/4.07 thf(f469,plain,(
% 28.39/4.07 (((^[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]: ((in @ Y4 @ sK4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ Y3 @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y0 @ Y1 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ sK6 @ sK5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((down @ sK6 @ sK7 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((barrel @ sK6 @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((old @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((dirty @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((white @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((car @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((chevy @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((lonely @ sK7 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((way @ sK7 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((street @ sK7 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((event @ sK6 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((city @ sK5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((hollywood @ sK5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ sK4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ sK4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ sK4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))))))))))))))))) @ sK9) = $false) | ~spl0_2),
% 28.39/4.07 inference(sigma_clausification,[],[f467])).
% 28.39/4.07 thf(f467,plain,(
% 28.39/4.07 ($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) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y5 : $i]: ((in @ Y4 @ sK4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ Y3 @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y0 @ Y1 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ sK6 @ sK5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((down @ sK6 @ sK7 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((barrel @ sK6 @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((old @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((dirty @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((white @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((car @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((chevy @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((lonely @ sK7 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((way @ sK7 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((street @ sK7 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((event @ sK6 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((city @ sK5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((hollywood @ sK5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ sK4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ sK4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ sK4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))))))))))))))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f466])).
% 28.39/4.07 thf(f466,plain,(
% 28.39/4.07 ($false = ((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]: ((in @ Y4 @ sK4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ Y3 @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y0 @ Y1 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ sK6 @ sK5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((down @ sK6 @ sK7 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((barrel @ sK6 @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((old @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((dirty @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((white @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((car @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((chevy @ sK8 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((lonely @ sK7 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((way @ sK7 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((street @ sK7 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((event @ sK6 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((city @ sK5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((hollywood @ sK5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ sK4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ sK4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ sK4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5)))))))))))))))))))))))) | ~spl0_2),
% 28.39/4.07 inference(beta_eta_normalization,[],[f465])).
% 28.39/4.07 thf(f465,plain,(
% 28.39/4.07 ($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]: ((in @ Y5 @ sK4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6)))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ Y4 @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y1 @ Y2 @ Y7) | (~ (rel_s4 @ Y6 @ Y7)))))) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ sK6 @ sK5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((down @ sK6 @ sK7 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((barrel @ sK6 @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((old @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((dirty @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((white @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((car @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((chevy @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((lonely @ sK7 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((way @ sK7 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((street @ sK7 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((event @ sK6 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((city @ sK5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((hollywood @ sK5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ sK4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ sK4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ sK4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6)))))))))))))))))))))))) @ sK8)) | ~spl0_2),
% 28.39/4.07 inference(sigma_clausification,[],[f463])).
% 28.39/4.07 thf(f463,plain,(
% 28.39/4.07 ((!! @ 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]: ((in @ Y5 @ sK4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6)))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ Y4 @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y1 @ Y2 @ Y7) | (~ (rel_s4 @ Y6 @ Y7)))))) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ sK6 @ sK5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((down @ sK6 @ sK7 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((barrel @ sK6 @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((old @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((dirty @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((white @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((car @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((chevy @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((lonely @ sK7 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((way @ sK7 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((street @ sK7 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((event @ sK6 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((city @ sK5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((hollywood @ sK5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ sK4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ sK4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ sK4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))))))))))))))))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f462])).
% 28.39/4.07 thf(f1097,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((car @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((white @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ sK7 @ sK3) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | (~spl0_2 | ~spl0_25)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1096])).
% 28.39/4.07 thf(f1096,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((old @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ sK7 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((white @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = $true) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | (~spl0_2 | ~spl0_25)),
% 28.39/4.07 inference(forward_demodulation,[],[f1095,f575])).
% 28.39/4.07 thf(f575,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $true) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f506])).
% 28.39/4.07 thf(f506,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f504])).
% 28.39/4.07 thf(f504,plain,(
% 28.39/4.07 ($false = ((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f502])).
% 28.39/4.07 thf(f1095,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((white @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ sK7 @ sK3) = $false)) ) | (~spl0_2 | ~spl0_25)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1094])).
% 28.39/4.07 thf(f1094,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = $true) | ((exists_in_world @ sK7 @ sK3) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((white @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK3))) ) | (~spl0_2 | ~spl0_25)),
% 28.39/4.07 inference(forward_demodulation,[],[f1093,f460])).
% 28.39/4.07 thf(f460,plain,(
% 28.39/4.07 ((exists_in_world @ sK6 @ sK3) = $true) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f458])).
% 28.39/4.07 thf(f1093,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((white @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ sK6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ sK7 @ sK3) = $false)) ) | (~spl0_2 | ~spl0_25)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1092])).
% 28.39/4.07 thf(f1092,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ sK7 @ sK3) = $false) | ($false = (exists_in_world @ sK6 @ sK3)) | ($false = (exists_in_world @ X0 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((white @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | (~spl0_2 | ~spl0_25)),
% 28.39/4.07 inference(forward_demodulation,[],[f1091,f510])).
% 28.39/4.07 thf(f510,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((lonely @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $true) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f508])).
% 28.39/4.07 thf(f508,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f507])).
% 28.39/4.07 thf(f507,plain,(
% 28.39/4.07 ($false = (((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f504])).
% 28.39/4.07 thf(f1091,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK3)) | ((exists_in_world @ sK7 @ sK3) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ sK6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((white @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) ) | (~spl0_2 | ~spl0_25)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1090])).
% 28.39/4.07 thf(f1090,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ sK6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ sK7 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((white @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) ) | (~spl0_2 | ~spl0_25)),
% 28.39/4.07 inference(forward_demodulation,[],[f1065,f576])).
% 28.39/4.07 thf(f576,plain,(
% 28.39/4.07 ($true = (!! @ $i @ (^[Y0 : $i]: ((event @ sK6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f501])).
% 28.39/4.07 thf(f501,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((event @ sK6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f500])).
% 28.39/4.07 thf(f1065,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((event @ sK6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((white @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ sK6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ sK7 @ sK3) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | (~spl0_2 | ~spl0_25)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1063])).
% 28.39/4.07 thf(f1063,plain,(
% 28.39/4.07 ( ! [X0 : mu,X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((street @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((event @ sK6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ sK6 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((lonely @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((dirty @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((city @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((way @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((old @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((white @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ sK7 @ sK3) = $false)) ) | (~spl0_2 | ~spl0_25)),
% 28.39/4.07 inference(superposition,[],[f1010,f527])).
% 28.39/4.07 thf(f527,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $true) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f525])).
% 28.39/4.07 thf(f525,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f523])).
% 28.39/4.07 thf(f523,plain,(
% 28.39/4.07 (((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f521])).
% 28.39/4.07 thf(f521,plain,(
% 28.39/4.07 ((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f518])).
% 28.39/4.07 thf(f518,plain,(
% 28.39/4.07 (((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f516])).
% 28.39/4.07 thf(f516,plain,(
% 28.39/4.07 ((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f514])).
% 28.39/4.07 thf(f514,plain,(
% 28.39/4.07 ($false = ((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f512])).
% 28.39/4.07 thf(f512,plain,(
% 28.39/4.07 ((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f509])).
% 28.39/4.07 thf(f509,plain,(
% 28.39/4.07 (((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ sK6 @ sK7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ sK6 @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ sK8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f507])).
% 28.39/4.07 thf(f1010,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_25),
% 28.39/4.07 inference(avatar_component_clause,[],[f1009])).
% 28.39/4.07 thf(f1061,plain,(
% 28.39/4.07 spl0_26 | spl0_27 | ~spl0_2 | ~spl0_24),
% 28.39/4.07 inference(avatar_split_clause,[],[f1060,f1006,f437,f1038,f1035])).
% 28.39/4.07 thf(f1006,plain,(
% 28.39/4.07 spl0_24 <=> ! [X10 : mu,X9 : mu,X7 : mu,X8 : mu,X6 : mu,X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ($false = (exists_in_world @ X7 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false))),
% 28.39/4.07 introduced(avatar_definition,[new_symbols(naming,[spl0_24])])).
% 28.39/4.07 thf(f1060,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3))) ) | (~spl0_2 | ~spl0_24)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1059])).
% 28.39/4.07 thf(f1059,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($false = (exists_in_world @ X0 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = $true) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | (~spl0_2 | ~spl0_24)),
% 28.39/4.07 inference(forward_demodulation,[],[f1058,f566])).
% 28.39/4.07 thf(f566,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $true) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f539])).
% 28.39/4.07 thf(f539,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f538])).
% 28.39/4.07 thf(f538,plain,(
% 28.39/4.07 ($false = ((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f536])).
% 28.39/4.07 thf(f536,plain,(
% 28.39/4.07 ($false = (((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f534])).
% 28.39/4.07 thf(f534,plain,(
% 28.39/4.07 (((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f531])).
% 28.39/4.07 thf(f531,plain,(
% 28.39/4.07 ((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f529])).
% 28.39/4.07 thf(f529,plain,(
% 28.39/4.07 ($false = ((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f526])).
% 28.39/4.07 thf(f526,plain,(
% 28.39/4.07 ($false = (((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f523])).
% 28.39/4.07 thf(f1058,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | (~spl0_2 | ~spl0_24)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1057])).
% 28.39/4.07 thf(f1057,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = $true) | ($false = (exists_in_world @ X0 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | (~spl0_2 | ~spl0_24)),
% 28.39/4.07 inference(forward_demodulation,[],[f1056,f545])).
% 28.39/4.07 thf(f545,plain,(
% 28.39/4.07 ($true = (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f543])).
% 28.39/4.07 thf(f543,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f542])).
% 28.39/4.07 thf(f542,plain,(
% 28.39/4.07 (((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f540])).
% 28.39/4.07 thf(f540,plain,(
% 28.39/4.07 ($false = (((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f538])).
% 28.39/4.07 thf(f1056,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) ) | (~spl0_2 | ~spl0_24)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1055])).
% 28.39/4.07 thf(f1055,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($false = $true) | ($false = (exists_in_world @ X0 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | (~spl0_2 | ~spl0_24)),
% 28.39/4.07 inference(forward_demodulation,[],[f1054,f564])).
% 28.39/4.07 thf(f564,plain,(
% 28.39/4.07 ($true = (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f546])).
% 28.39/4.07 thf(f546,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f544])).
% 28.39/4.07 thf(f544,plain,(
% 28.39/4.07 ((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f542])).
% 28.39/4.07 thf(f1054,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) ) | (~spl0_2 | ~spl0_24)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1053])).
% 28.39/4.07 thf(f1053,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($false = (exists_in_world @ X1 @ sK3)) | ($false = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) ) | (~spl0_2 | ~spl0_24)),
% 28.39/4.07 inference(forward_demodulation,[],[f1052,f563])).
% 28.39/4.07 thf(f563,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $true) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f551])).
% 28.39/4.07 thf(f551,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f549])).
% 28.39/4.07 thf(f549,plain,(
% 28.39/4.07 ((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f547])).
% 28.39/4.07 thf(f547,plain,(
% 28.39/4.07 (((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK13 @ sK4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ sK13 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ sK12 @ sK11 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ sK12 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f544])).
% 28.39/4.07 thf(f1052,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) ) | (~spl0_2 | ~spl0_24)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1051])).
% 28.39/4.07 thf(f1051,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X0 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = $true)) ) | (~spl0_2 | ~spl0_24)),
% 28.39/4.07 inference(forward_demodulation,[],[f1050,f476])).
% 28.39/4.07 thf(f476,plain,(
% 28.39/4.07 ($true = (exists_in_world @ sK10 @ sK3)) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f474])).
% 28.39/4.07 thf(f1050,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ sK10 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) ) | (~spl0_2 | ~spl0_24)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1049])).
% 28.39/4.07 thf(f1049,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($false = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ sK10 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X0 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) ) | (~spl0_2 | ~spl0_24)),
% 28.39/4.07 inference(forward_demodulation,[],[f1048,f550])).
% 28.39/4.07 thf(f550,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $true) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f548])).
% 28.39/4.07 thf(f548,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f547])).
% 28.39/4.07 thf(f1048,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ sK10 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | (~spl0_2 | ~spl0_24)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1047])).
% 28.39/4.07 thf(f1047,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ sK10 @ sK3)) | ($false = (exists_in_world @ X0 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = $true)) ) | (~spl0_2 | ~spl0_24)),
% 28.39/4.07 inference(forward_demodulation,[],[f1046,f472])).
% 28.39/4.07 thf(f472,plain,(
% 28.39/4.07 ((exists_in_world @ sK9 @ sK3) = $true) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f470])).
% 28.39/4.07 thf(f1046,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($false = (exists_in_world @ sK9 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ sK10 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | (~spl0_2 | ~spl0_24)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1045])).
% 28.39/4.07 thf(f1045,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = $true) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ sK10 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ sK9 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | (~spl0_2 | ~spl0_24)),
% 28.39/4.07 inference(forward_demodulation,[],[f1015,f565])).
% 28.39/4.07 thf(f565,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $true) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f541])).
% 28.39/4.07 thf(f541,plain,(
% 28.39/4.07 ((~ (!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $false) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f540])).
% 28.39/4.07 thf(f1015,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ sK9 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ sK10 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X0 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | (~spl0_2 | ~spl0_24)),
% 28.39/4.07 inference(trivial_inequality_removal,[],[f1013])).
% 28.39/4.07 thf(f1013,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X0 : mu,X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK9 @ X0 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ sK10 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ sK9 @ sK3)) | ($false = (exists_in_world @ X0 @ sK3)) | ($false = $true) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((seat @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X0 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ sK10 @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((young @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((man @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((man @ sK9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ sK10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) ) | (~spl0_2 | ~spl0_24)),
% 28.39/4.07 inference(superposition,[],[f1007,f567])).
% 28.39/4.07 thf(f567,plain,(
% 28.39/4.07 ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))) = $true) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f537])).
% 28.39/4.07 thf(f537,plain,(
% 28.39/4.07 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ sK9 @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f536])).
% 28.39/4.07 thf(f1007,plain,(
% 28.39/4.07 ( ! [X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_24),
% 28.39/4.07 inference(avatar_component_clause,[],[f1006])).
% 28.39/4.07 thf(f1011,plain,(
% 28.39/4.07 spl0_24 | spl0_25 | ~spl0_2),
% 28.39/4.07 inference(avatar_split_clause,[],[f1004,f437,f1009,f1006])).
% 28.39/4.07 thf(f1004,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X5 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1003])).
% 28.39/4.07 thf(f1003,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) ) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1002])).
% 28.39/4.07 thf(f1002,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X7 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X10 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) ) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1001])).
% 28.39/4.07 thf(f1001,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X10 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) ) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f1000])).
% 28.39/4.07 thf(f1000,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X7 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X5 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f999])).
% 28.39/4.07 thf(f999,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X10 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK3))) ) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f998])).
% 28.39/4.07 thf(f998,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ X9 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ X8 @ sK3) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (exists_in_world @ X7 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f997])).
% 28.39/4.07 thf(f997,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X2 @ sK3)) | ((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X10 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f996])).
% 28.39/4.07 thf(f996,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ($true = ((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X7 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) ) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f995])).
% 28.39/4.07 thf(f995,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((exists_in_world @ X8 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X7 @ sK3))) ) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f994])).
% 28.39/4.07 thf(f994,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X10 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) ) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f993])).
% 28.39/4.07 thf(f993,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X2 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK3) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f992])).
% 28.39/4.07 thf(f992,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X5 @ sK3)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | ($false = (exists_in_world @ X7 @ sK3)) | (((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X2 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f991])).
% 28.39/4.07 thf(f991,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK3))) ) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f990])).
% 28.39/4.07 thf(f990,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3))) ) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f989])).
% 28.39/4.07 thf(f989,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X4 @ sK3) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f988])).
% 28.39/4.07 thf(f988,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ X8 @ sK3) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X7 @ sK3))) ) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f987])).
% 28.39/4.07 thf(f987,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f986])).
% 28.39/4.07 thf(f986,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X7 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X10 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X6 @ sK3))) ) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f985])).
% 28.39/4.07 thf(f985,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ X8 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (exists_in_world @ X10 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f984])).
% 28.39/4.07 thf(f984,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X5 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | (((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X10 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ X9 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f983])).
% 28.39/4.07 thf(f983,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X7 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ X9 @ sK3) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X10 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f982])).
% 28.39/4.07 thf(f982,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X10 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ X9 @ sK3) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f981])).
% 28.39/4.07 thf(f981,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (exists_in_world @ X10 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ X4 @ sK3) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f980])).
% 28.39/4.07 thf(f980,plain,(
% 28.39/4.07 ( ! [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) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X10 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X6 @ sK3))) ) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f979])).
% 28.39/4.07 thf(f979,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ X9 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X7 @ sK3))) ) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f978])).
% 28.39/4.07 thf(f978,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f977])).
% 28.39/4.07 thf(f977,plain,(
% 28.39/4.07 ( ! [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) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X3 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($true = ((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f976])).
% 28.39/4.07 thf(f976,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((exists_in_world @ X4 @ sK3) = $false) | ($true = ((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK3) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f975])).
% 28.39/4.07 thf(f975,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X7 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($true = (((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f974])).
% 28.39/4.07 thf(f974,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X10 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ($true = (((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ($false = (exists_in_world @ X3 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f973])).
% 28.39/4.07 thf(f973,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X3 @ sK3)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X6 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ($true = (((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f972])).
% 28.39/4.07 thf(f972,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) ) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f971])).
% 28.39/4.07 thf(f971,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X2 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f970])).
% 28.39/4.07 thf(f970,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f969])).
% 28.39/4.07 thf(f969,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X2 @ sK3)) | (((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X3 @ sK3))) ) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f968])).
% 28.39/4.07 thf(f968,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (exists_in_world @ X3 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ($false = (exists_in_world @ X6 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f967])).
% 28.39/4.07 thf(f967,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f966])).
% 28.39/4.07 thf(f966,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ($false = (exists_in_world @ X3 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ($false = (exists_in_world @ X10 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3))) ) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f965])).
% 28.39/4.07 thf(f965,plain,(
% 28.39/4.07 ( ! [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) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (exists_in_world @ X10 @ sK3)) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f964])).
% 28.39/4.07 thf(f964,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X10 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((exists_in_world @ X9 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f963])).
% 28.39/4.07 thf(f963,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X10 @ sK3)) | ($false = (exists_in_world @ X7 @ sK3))) ) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f962])).
% 28.39/4.07 thf(f962,plain,(
% 28.39/4.07 ( ! [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) | ((~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | (((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f961])).
% 28.39/4.07 thf(f961,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X10 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3))) ) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f960])).
% 28.39/4.07 thf(f960,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | ((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | ($false = (exists_in_world @ X7 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true)) ) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f959])).
% 28.39/4.07 thf(f959,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($true = ((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X10 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | ($false = (exists_in_world @ X2 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f958])).
% 28.39/4.07 thf(f958,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ($false = (exists_in_world @ X10 @ sK3)) | ($false = (exists_in_world @ X7 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3))) ) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f957])).
% 28.39/4.07 thf(f957,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X7 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | (((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f956])).
% 28.39/4.07 thf(f956,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | (((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_2),
% 28.39/4.07 inference(binary_proxy_clausification,[],[f955])).
% 28.39/4.07 thf(f955,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X10 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X6 @ sK3)) | ($true = (((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))))) ) | ~spl0_2),
% 28.39/4.07 inference(not_proxy_clausification,[],[f954])).
% 28.39/4.07 thf(f954,plain,(
% 28.39/4.07 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($true = (((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ($false = (exists_in_world @ X7 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_2),
% 28.39/4.08 inference(not_proxy_clausification,[],[f953])).
% 28.39/4.08 thf(f953,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X10 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($true = (((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (exists_in_world @ X7 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false)) ) | ~spl0_2),
% 28.39/4.08 inference(binary_proxy_clausification,[],[f952])).
% 28.39/4.08 thf(f952,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X6 @ sK3)) | (((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (exists_in_world @ X3 @ sK3))) ) | ~spl0_2),
% 28.39/4.08 inference(binary_proxy_clausification,[],[f951])).
% 28.39/4.08 thf(f951,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X10 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ($true = (((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK3) = $false)) ) | ~spl0_2),
% 28.39/4.08 inference(not_proxy_clausification,[],[f950])).
% 28.39/4.08 thf(f950,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X9 @ sK3) = $false) | ((exists_in_world @ X8 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X6 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X10 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ($true = (((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ($false = (exists_in_world @ X7 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false)) ) | ~spl0_2),
% 28.39/4.08 inference(not_proxy_clausification,[],[f949])).
% 28.39/4.08 thf(f949,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($true = (((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (exists_in_world @ X6 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X10 @ sK3))) ) | ~spl0_2),
% 28.39/4.08 inference(not_proxy_clausification,[],[f948])).
% 28.39/4.08 thf(f948,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (exists_in_world @ X10 @ sK3)) | ($true = (((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X7 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false)) ) | ~spl0_2),
% 28.39/4.08 inference(binary_proxy_clausification,[],[f947])).
% 28.39/4.08 thf(f947,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | (((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X10 @ sK3)) | ($false = (exists_in_world @ X6 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (exists_in_world @ X7 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false)) ) | ~spl0_2),
% 28.39/4.08 inference(binary_proxy_clausification,[],[f946])).
% 28.39/4.08 thf(f946,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X10 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (exists_in_world @ X7 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ((exists_in_world @ X4 @ sK3) = $false)) ) | ~spl0_2),
% 28.39/4.08 inference(not_proxy_clausification,[],[f945])).
% 28.39/4.08 thf(f945,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X7 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X6 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ($false = (exists_in_world @ X10 @ sK3))) ) | ~spl0_2),
% 28.39/4.08 inference(binary_proxy_clausification,[],[f944])).
% 28.39/4.08 thf(f944,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((exists_in_world @ X8 @ sK3) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X10 @ sK3))) ) | ~spl0_2),
% 28.39/4.08 inference(binary_proxy_clausification,[],[f943])).
% 28.39/4.08 thf(f943,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($true = (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X6 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X10 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false)) ) | ~spl0_2),
% 28.39/4.08 inference(binary_proxy_clausification,[],[f942])).
% 28.39/4.08 thf(f942,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X6 @ sK3)) | (((exists_in_world @ X10 @ sK3) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ X10 @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X7 @ X10 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X9 @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X6 @ X9 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X7 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((young @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((man @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((fellow @ X6 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X8 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((down @ X3 @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((barrel @ X3 @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((old @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((dirty @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((white @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((car @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((chevy @ X5 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((lonely @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((way @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((street @ X4 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((event @ X3 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((city @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((front @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((furniture @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((seat @ X1 @ Y0) | (~ (rel_s4 @ sK3 @ Y0)))))))) = $true) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X7 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3))) ) | ~spl0_2),
% 28.39/4.08 inference(beta_eta_normalization,[],[f941])).
% 28.39/4.08 thf(f941,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X10 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ X8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X7 @ Y0 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ X9 @ X1 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X9 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ X7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ X7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ X7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ X6 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ X6 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ X6 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ X6 @ X7 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ X8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ X8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ X8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ X3 @ X2 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((down @ X3 @ X4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((barrel @ X3 @ X5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((old @ X5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((dirty @ X5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((white @ X5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((car @ X5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((chevy @ X5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((lonely @ X4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((way @ X4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((street @ X4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((event @ X3 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((city @ X2 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((hollywood @ X2 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ X1 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ X1 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ X1 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))))) @ X10) = $true) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ((exists_in_world @ X8 @ sK3) = $false)) ) | ~spl0_2),
% 28.39/4.08 inference(pi_clausification,[],[f940])).
% 28.39/4.08 thf(f940,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ X8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X7 @ Y0 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ X9 @ X1 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X9 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ X7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ X7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ X7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ X6 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ X6 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ X6 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ X6 @ X7 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ X8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ X8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ X8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ X3 @ X2 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((down @ X3 @ X4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((barrel @ X3 @ X5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((old @ X5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((dirty @ X5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((white @ X5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((car @ X5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((chevy @ X5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((lonely @ X4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((way @ X4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((street @ X4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((event @ X3 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((city @ X2 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((hollywood @ X2 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ X1 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ X1 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ X1 @ Y1) | (~ (rel_s4 @ sK3 @ Y1)))))))))) = $true) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ($false = (exists_in_world @ X7 @ sK3)) | ((exists_in_world @ X9 @ sK3) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X6 @ sK3))) ) | ~spl0_2),
% 28.39/4.08 inference(binary_proxy_clausification,[],[f939])).
% 28.39/4.08 thf(f939,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X8 @ sK3) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | (((exists_in_world @ X9 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ X8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X7 @ Y0 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ X9 @ X1 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ X6 @ X9 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ X7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ X7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ X7 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((young @ X6 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((man @ X6 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((fellow @ X6 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ X6 @ X7 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ X8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ X8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ X8 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((in @ X3 @ X2 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((down @ X3 @ X4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((barrel @ X3 @ X5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((old @ X5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((dirty @ X5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((white @ X5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((car @ X5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((chevy @ X5 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((lonely @ X4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((way @ X4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((street @ X4 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((event @ X3 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((city @ X2 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((hollywood @ X2 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((front @ X1 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((furniture @ X1 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((seat @ X1 @ Y1) | (~ (rel_s4 @ sK3 @ Y1))))))))))) = $true) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3))) ) | ~spl0_2),
% 28.39/4.08 inference(beta_eta_normalization,[],[f938])).
% 28.39/4.08 thf(f938,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X1 : mu,X8 : mu,X6 : mu,X9 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ X8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ X7 @ Y1 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ X1 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ X6 @ Y0 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ X7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ X7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ X7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ X6 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ X6 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ X6 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ X6 @ X7 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ X8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ X8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ X8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ X3 @ X2 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((down @ X3 @ X4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((barrel @ X3 @ X5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((old @ X5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((dirty @ X5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((white @ X5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((car @ X5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((chevy @ X5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((lonely @ X4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((way @ X4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((street @ X4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((event @ X3 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((city @ X2 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((hollywood @ X2 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ X1 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ X1 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ X1 @ Y2) | (~ (rel_s4 @ sK3 @ Y2)))))))))))) @ X9) = $true)) ) | ~spl0_2),
% 28.39/4.08 inference(pi_clausification,[],[f937])).
% 28.39/4.08 thf(f937,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X1 : mu,X8 : mu,X6 : mu,X7 : mu,X4 : mu,X5 : mu] : (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ X8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ X7 @ Y1 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ X1 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ X6 @ Y0 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ X7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ X7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ X7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ X6 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ X6 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ X6 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ X6 @ X7 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ X8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ X8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ X8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ X3 @ X2 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((down @ X3 @ X4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((barrel @ X3 @ X5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((old @ X5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((dirty @ X5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((white @ X5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((car @ X5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((chevy @ X5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((lonely @ X4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((way @ X4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((street @ X4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((event @ X3 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((city @ X2 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((hollywood @ X2 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ X1 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ X1 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ X1 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))))))))) = $true) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ((exists_in_world @ X8 @ sK3) = $false)) ) | ~spl0_2),
% 28.39/4.08 inference(binary_proxy_clausification,[],[f936])).
% 28.39/4.08 thf(f936,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X1 : mu,X8 : mu,X6 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | (((exists_in_world @ X8 @ sK3) => (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK3) => (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK3) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ X8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ X7 @ Y1 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ X1 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((qmltpeq @ X6 @ Y0 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ X7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ X7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ X7 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((young @ X6 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((man @ X6 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((fellow @ X6 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ X6 @ X7 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ X8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ X8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ X8 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((in @ X3 @ X2 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((down @ X3 @ X4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((barrel @ X3 @ X5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((old @ X5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((dirty @ X5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((white @ X5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((car @ X5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((chevy @ X5 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((lonely @ X4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((way @ X4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((street @ X4 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((event @ X3 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((city @ X2 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((hollywood @ X2 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((front @ X1 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((furniture @ X1 @ Y2) | (~ (rel_s4 @ sK3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((seat @ X1 @ Y2) | (~ (rel_s4 @ sK3 @ Y2)))))))))))))) = $true)) ) | ~spl0_2),
% 28.39/4.08 inference(beta_eta_normalization,[],[f935])).
% 28.39/4.08 thf(f935,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X1 : mu,X8 : mu,X6 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X6 @ sK3)) | (((^[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]: ((in @ Y2 @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ X7 @ Y2 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ Y1 @ X1 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ X6 @ Y1 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ X7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ X7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ X7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ X6 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ X6 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ X6 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ X6 @ X7 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ X3 @ X2 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((down @ X3 @ X4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((barrel @ X3 @ X5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((old @ X5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((dirty @ X5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((white @ X5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((car @ X5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((chevy @ X5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((lonely @ X4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((way @ X4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((street @ X4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((event @ X3 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((city @ X2 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((hollywood @ X2 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ X1 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ X1 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ X1 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))))))))))) @ X8) = $true) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X7 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3))) ) | ~spl0_2),
% 28.39/4.08 inference(pi_clausification,[],[f934])).
% 28.39/4.08 thf(f934,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X1 : mu,X6 : mu,X7 : mu,X4 : mu,X5 : 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) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y3 : $i]: ((in @ Y2 @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ X7 @ Y2 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ Y1 @ X1 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ X6 @ Y1 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ X7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ X7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ X7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ X6 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ X6 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ X6 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ X6 @ X7 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ X3 @ X2 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((down @ X3 @ X4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((barrel @ X3 @ X5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((old @ X5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((dirty @ X5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((white @ X5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((car @ X5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((chevy @ X5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((lonely @ X4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((way @ X4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((street @ X4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((event @ X3 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((city @ X2 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((hollywood @ X2 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ X1 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ X1 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ X1 @ Y3) | (~ (rel_s4 @ sK3 @ Y3)))))))))))))))) = $true) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X7 @ sK3)) | ($false = (exists_in_world @ X6 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false)) ) | ~spl0_2),
% 28.39/4.08 inference(binary_proxy_clausification,[],[f933])).
% 28.39/4.08 thf(f933,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X1 : mu,X6 : mu,X7 : mu,X4 : mu,X5 : mu] : (($true = ((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]: ((in @ Y2 @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ X7 @ Y2 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ Y1 @ X1 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((qmltpeq @ X6 @ Y1 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ X7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ X7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ X7 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((young @ X6 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((man @ X6 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((fellow @ X6 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ X6 @ X7 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ Y0 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((in @ X3 @ X2 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((down @ X3 @ X4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((barrel @ X3 @ X5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((old @ X5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((dirty @ X5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((white @ X5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((car @ X5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((chevy @ X5 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((lonely @ X4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((way @ X4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((street @ X4 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((event @ X3 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((city @ X2 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((hollywood @ X2 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((front @ X1 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((furniture @ X1 @ Y3) | (~ (rel_s4 @ sK3 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((seat @ X1 @ Y3) | (~ (rel_s4 @ sK3 @ Y3)))))))))))))))))) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false)) ) | ~spl0_2),
% 28.39/4.08 inference(beta_eta_normalization,[],[f932])).
% 28.39/4.08 thf(f932,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X1 : mu,X6 : mu,X7 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X5 @ 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) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y4 : $i]: ((in @ Y3 @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ Y2 @ X1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ X6 @ Y2 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ X6 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ X6 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ X6 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ X6 @ Y0 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ X3 @ X2 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((down @ X3 @ X4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((barrel @ X3 @ X5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((old @ X5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((dirty @ X5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((white @ X5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((car @ X5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((chevy @ X5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((lonely @ X4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((way @ X4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((street @ X4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((event @ X3 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((city @ X2 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((hollywood @ X2 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ X1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ X1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ X1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4)))))))))))))))))) @ X7) = $true)) ) | ~spl0_2),
% 28.39/4.08 inference(pi_clausification,[],[f931])).
% 28.39/4.08 thf(f931,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X1 : mu,X6 : mu,X4 : mu,X5 : 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) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y4 : $i]: ((in @ Y3 @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ Y2 @ X1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ X6 @ Y2 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ X6 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ X6 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ X6 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ X6 @ Y0 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ X3 @ X2 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((down @ X3 @ X4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((barrel @ X3 @ X5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((old @ X5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((dirty @ X5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((white @ X5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((car @ X5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((chevy @ X5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((lonely @ X4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((way @ X4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((street @ X4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((event @ X3 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((city @ X2 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((hollywood @ X2 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ X1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ X1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ X1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))))))))))))))) = $true) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X6 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3))) ) | ~spl0_2),
% 28.39/4.08 inference(binary_proxy_clausification,[],[f930])).
% 28.39/4.08 thf(f930,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X1 : mu,X6 : mu,X4 : mu,X5 : mu] : (((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3)) | (((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]: ((in @ Y3 @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ Y2 @ X1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((qmltpeq @ X6 @ Y2 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ Y0 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((young @ X6 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((man @ X6 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((fellow @ X6 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ X6 @ Y0 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ Y1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((in @ X3 @ X2 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((down @ X3 @ X4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((barrel @ X3 @ X5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((old @ X5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((dirty @ X5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((white @ X5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((car @ X5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((chevy @ X5 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((lonely @ X4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((way @ X4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((street @ X4 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((event @ X3 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((city @ X2 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((hollywood @ X2 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((front @ X1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((furniture @ X1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((seat @ X1 @ Y4) | (~ (rel_s4 @ sK3 @ Y4)))))))))))))))))))) = $true)) ) | ~spl0_2),
% 28.39/4.08 inference(beta_eta_normalization,[],[f929])).
% 28.39/4.08 thf(f929,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X1 : mu,X6 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X1 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X3 @ 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]: ((in @ Y4 @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ Y3 @ X1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y0 @ Y1 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ X3 @ X2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((down @ X3 @ X4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((barrel @ X3 @ X5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((old @ X5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((dirty @ X5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((white @ X5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((car @ X5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((chevy @ X5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((lonely @ X4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((way @ X4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((street @ X4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((event @ X3 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((city @ X2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((hollywood @ X2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ X1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ X1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ X1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))))))))))))))))) @ X6) = $true) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X5 @ sK3))) ) | ~spl0_2),
% 28.39/4.08 inference(pi_clausification,[],[f928])).
% 28.39/4.08 thf(f928,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X1 : mu,X4 : mu,X5 : 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) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y5 : $i]: ((in @ Y4 @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ Y3 @ X1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y0 @ Y1 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ X3 @ X2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((down @ X3 @ X4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((barrel @ X3 @ X5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((old @ X5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((dirty @ X5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((white @ X5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((car @ X5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((chevy @ X5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((lonely @ X4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((way @ X4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((street @ X4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((event @ X3 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((city @ X2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((hollywood @ X2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ X1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ X1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ X1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5)))))))))))))))))))))) = $true) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X5 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3))) ) | ~spl0_2),
% 28.39/4.08 inference(binary_proxy_clausification,[],[f927])).
% 28.39/4.08 thf(f927,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X1 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X3 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | (((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]: ((in @ Y4 @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ Y3 @ X1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((qmltpeq @ Y0 @ Y3 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((young @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((man @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((fellow @ Y0 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y0 @ Y1 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ Y2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((in @ X3 @ X2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((down @ X3 @ X4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((barrel @ X3 @ X5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((old @ X5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((dirty @ X5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((white @ X5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((car @ X5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((chevy @ X5 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((lonely @ X4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((way @ X4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((street @ X4 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((event @ X3 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((city @ X2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((hollywood @ X2 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((front @ X1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((furniture @ X1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((seat @ X1 @ Y5) | (~ (rel_s4 @ sK3 @ Y5))))))))))))))))))))))) = $true)) ) | ~spl0_2),
% 28.39/4.08 inference(beta_eta_normalization,[],[f926])).
% 28.39/4.08 thf(f926,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X1 : mu,X4 : mu,X5 : mu] : (($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X4 @ 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]: ((in @ Y5 @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6)))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ Y4 @ X1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y1 @ Y2 @ Y7) | (~ (rel_s4 @ Y6 @ Y7)))))) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ X3 @ X2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((down @ X3 @ X4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((barrel @ X3 @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((old @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((dirty @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((white @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((car @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((chevy @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((lonely @ X4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((way @ X4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((street @ X4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((event @ X3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((city @ X2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((hollywood @ X2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ X1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ X1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ X1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6)))))))))))))))))))))))) @ X5) = $true)) ) | ~spl0_2),
% 28.39/4.08 inference(pi_clausification,[],[f925])).
% 28.39/4.08 thf(f925,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X1 : mu,X4 : 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) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y6 : $i]: ((in @ Y5 @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6)))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ Y4 @ X1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y1 @ Y2 @ Y7) | (~ (rel_s4 @ Y6 @ Y7)))))) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ X3 @ X2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((down @ X3 @ X4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((barrel @ X3 @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((old @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((dirty @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((white @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((car @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((chevy @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((lonely @ X4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((way @ X4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((street @ X4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((event @ X3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((city @ X2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((hollywood @ X2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ X1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ X1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ X1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))))))))))))))))))))) = $true) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3)) | ((exists_in_world @ X4 @ sK3) = $false) | ($false = (exists_in_world @ X3 @ sK3))) ) | ~spl0_2),
% 28.39/4.08 inference(binary_proxy_clausification,[],[f924])).
% 28.39/4.08 thf(f924,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X1 : mu,X4 : mu] : (($false = (exists_in_world @ X3 @ sK3)) | (((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]: ((in @ Y5 @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6)))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ Y4 @ X1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((qmltpeq @ Y1 @ Y4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((young @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((man @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((fellow @ Y1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y1 @ Y2 @ Y7) | (~ (rel_s4 @ Y6 @ Y7)))))) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ Y3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((in @ X3 @ X2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((down @ X3 @ X4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((barrel @ X3 @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((old @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((dirty @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((white @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((car @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((chevy @ Y0 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((lonely @ X4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((way @ X4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((street @ X4 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((event @ X3 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((city @ X2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((hollywood @ X2 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((front @ X1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((furniture @ X1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((seat @ X1 @ Y6) | (~ (rel_s4 @ sK3 @ Y6)))))))))))))))))))))))))) = $true) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3))) ) | ~spl0_2),
% 28.39/4.08 inference(beta_eta_normalization,[],[f923])).
% 28.39/4.08 thf(f923,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X1 : mu,X4 : mu] : (($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) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y7 : $i]: ((in @ Y6 @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7)))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ Y5 @ X1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y2 @ Y3 @ Y8) | (~ (rel_s4 @ Y7 @ Y8)))))) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ X3 @ X2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((down @ X3 @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((barrel @ X3 @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((old @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((dirty @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((white @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((car @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((chevy @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((lonely @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((way @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((street @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((event @ X3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((city @ X2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((hollywood @ X2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ X1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ X1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ X1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))))))))))))))))))))))) @ X4) = $true) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X3 @ sK3))) ) | ~spl0_2),
% 28.39/4.08 inference(pi_clausification,[],[f922])).
% 28.39/4.08 thf(f922,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,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) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y7 : $i]: ((in @ Y6 @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7)))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ Y5 @ X1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y2 @ Y3 @ Y8) | (~ (rel_s4 @ Y7 @ Y8)))))) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ X3 @ X2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((down @ X3 @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((barrel @ X3 @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((old @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((dirty @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((white @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((car @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((chevy @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((lonely @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((way @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((street @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((event @ X3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((city @ X2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((hollywood @ X2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ X1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ X1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ X1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7)))))))))))))))))))))))))))) = $true) | ($false = (exists_in_world @ X3 @ sK3)) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3))) ) | ~spl0_2),
% 28.39/4.08 inference(binary_proxy_clausification,[],[f921])).
% 28.39/4.08 thf(f921,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,X1 : mu] : ((((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]: ((in @ Y6 @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7)))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ Y5 @ X1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((qmltpeq @ Y2 @ Y5 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((young @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((man @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((fellow @ Y2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y2 @ Y3 @ Y8) | (~ (rel_s4 @ Y7 @ Y8)))))) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ Y4 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((in @ X3 @ X2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((down @ X3 @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((barrel @ X3 @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((old @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((dirty @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((white @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((car @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((chevy @ Y1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((lonely @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((way @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((street @ Y0 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((event @ X3 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((city @ X2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((hollywood @ X2 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((front @ X1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((furniture @ X1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((seat @ X1 @ Y7) | (~ (rel_s4 @ sK3 @ Y7))))))))))))))))))))))))))))) = $true) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3))) ) | ~spl0_2),
% 28.39/4.08 inference(beta_eta_normalization,[],[f920])).
% 28.39/4.08 thf(f920,plain,(
% 28.39/4.08 ( ! [X2 : mu,X3 : mu,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) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y7 @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8)))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y6 @ X1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y3 @ Y4 @ Y9) | (~ (rel_s4 @ Y8 @ Y9)))))) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y0 @ X2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((down @ Y0 @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((barrel @ Y0 @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((old @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((dirty @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((white @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((car @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((chevy @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((lonely @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((way @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((street @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((event @ Y0 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((city @ X2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((hollywood @ X2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ X1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ X1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ X1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8)))))))))))))))))))))))))))))) @ X3) = $true) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3))) ) | ~spl0_2),
% 28.39/4.08 inference(pi_clausification,[],[f710])).
% 28.39/4.08 thf(f710,plain,(
% 28.39/4.08 ( ! [X2 : mu,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) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y7 @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8)))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y6 @ X1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y3 @ Y4 @ Y9) | (~ (rel_s4 @ Y8 @ Y9)))))) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y0 @ X2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((down @ Y0 @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((barrel @ Y0 @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((old @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((dirty @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((white @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((car @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((chevy @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((lonely @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((way @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((street @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((event @ Y0 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((city @ X2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((hollywood @ X2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ X1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ X1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ X1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))))))))))))))))))))))))))) = $true) | ($false = (exists_in_world @ X2 @ sK3)) | ($false = (exists_in_world @ X1 @ sK3))) ) | ~spl0_2),
% 28.39/4.08 inference(binary_proxy_clausification,[],[f709])).
% 28.39/4.08 thf(f709,plain,(
% 28.39/4.08 ( ! [X2 : mu,X1 : mu] : ((((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]: ((in @ Y7 @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8)))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y6 @ X1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((qmltpeq @ Y3 @ Y6 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y4 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((young @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((man @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((fellow @ Y3 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y3 @ Y4 @ Y9) | (~ (rel_s4 @ Y8 @ Y9)))))) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ Y5 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((in @ Y0 @ X2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((down @ Y0 @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((barrel @ Y0 @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((old @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((dirty @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((white @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((car @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((chevy @ Y2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((lonely @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((way @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((street @ Y1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((event @ Y0 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((city @ X2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((hollywood @ X2 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((front @ X1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((furniture @ X1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8))))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((seat @ X1 @ Y8) | (~ (rel_s4 @ sK3 @ Y8)))))))))))))))))))))))))))))))) = $true) | ($false = (exists_in_world @ X1 @ sK3))) ) | ~spl0_2),
% 28.39/4.08 inference(beta_eta_normalization,[],[f708])).
% 28.39/4.08 thf(f708,plain,(
% 28.39/4.08 ( ! [X2 : mu,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) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y8 @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9)))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y7 @ X1 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y4 @ Y5 @ Y10) | (~ (rel_s4 @ Y9 @ Y10)))))) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y1 @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((down @ Y1 @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((barrel @ Y1 @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((old @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((dirty @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((white @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((car @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((chevy @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((lonely @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((way @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((street @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((event @ Y1 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((city @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((hollywood @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ X1 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ X1 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ X1 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))))))))))))))))))))))))))))) @ X2) = $true) | ($false = (exists_in_world @ X1 @ sK3))) ) | ~spl0_2),
% 28.39/4.08 inference(pi_clausification,[],[f707])).
% 28.39/4.08 thf(f707,plain,(
% 28.39/4.08 ( ! [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]: ((in @ Y8 @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9)))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y7 @ X1 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y4 @ Y5 @ Y10) | (~ (rel_s4 @ Y9 @ Y10)))))) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y1 @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((down @ Y1 @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((barrel @ Y1 @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((old @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((dirty @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((white @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((car @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((chevy @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((lonely @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((way @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((street @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((event @ Y1 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((city @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((hollywood @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ X1 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ X1 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ X1 @ Y9) | (~ (rel_s4 @ sK3 @ Y9)))))))))))))))))))))))))))))))))) = $true) | ($false = (exists_in_world @ X1 @ sK3))) ) | ~spl0_2),
% 28.39/4.08 inference(binary_proxy_clausification,[],[f706])).
% 28.39/4.08 thf(f706,plain,(
% 28.39/4.08 ( ! [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]: ((in @ Y8 @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9)))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y7 @ X1 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((qmltpeq @ Y4 @ Y7 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y5 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((young @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((man @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((fellow @ Y4 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y4 @ Y5 @ Y10) | (~ (rel_s4 @ Y9 @ Y10)))))) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ Y6 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((in @ Y1 @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((down @ Y1 @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((barrel @ Y1 @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((old @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((dirty @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((white @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((car @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((chevy @ Y3 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((lonely @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((way @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((street @ Y2 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((event @ Y1 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((city @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((hollywood @ Y0 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((front @ X1 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((furniture @ X1 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))) | (~ (!! @ $i @ (^[Y9 : $i]: ((seat @ X1 @ Y9) | (~ (rel_s4 @ sK3 @ Y9))))))))))))))))))))))))))))))))))) = $true)) ) | ~spl0_2),
% 28.39/4.08 inference(beta_eta_normalization,[],[f705])).
% 28.39/4.08 thf(f705,plain,(
% 28.39/4.08 ( ! [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]: ((in @ Y9 @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10)))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y8 @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y5 @ Y6 @ Y11) | (~ (rel_s4 @ Y10 @ Y11)))))) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y2 @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((down @ Y2 @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((barrel @ Y2 @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((old @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((dirty @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((white @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((car @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((chevy @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((lonely @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((way @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((street @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((event @ Y2 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((city @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((hollywood @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10)))))))))))))))))))))))))))))))))))) @ X1) = $true)) ) | ~spl0_2),
% 28.39/4.08 inference(pi_clausification,[],[f448])).
% 28.39/4.08 thf(f448,plain,(
% 28.39/4.08 ((!! @ 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]: ((in @ Y9 @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10)))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y8 @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y5 @ Y6 @ Y11) | (~ (rel_s4 @ Y10 @ Y11)))))) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y2 @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((down @ Y2 @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((barrel @ Y2 @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((old @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((dirty @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((white @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((car @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((chevy @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((lonely @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((way @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((street @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((event @ Y2 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((city @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((hollywood @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))))))))))))))))))))))))))))))))) = $true) | ~spl0_2),
% 28.39/4.08 inference(not_proxy_clausification,[],[f447])).
% 28.39/4.08 thf(f447,plain,(
% 28.39/4.08 ((~ (!! @ 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]: ((in @ Y9 @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10)))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y8 @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((qmltpeq @ Y5 @ Y8 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y6 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((young @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((man @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((fellow @ Y5 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y5 @ Y6 @ Y11) | (~ (rel_s4 @ Y10 @ Y11)))))) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y7 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((in @ Y2 @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((down @ Y2 @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((barrel @ Y2 @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((old @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((dirty @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((white @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((car @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((chevy @ Y4 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((lonely @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((way @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((street @ Y3 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((event @ Y2 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((city @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((hollywood @ Y1 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((front @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((furniture @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10))))))) | (~ (!! @ $i @ (^[Y10 : $i]: ((seat @ Y0 @ Y10) | (~ (rel_s4 @ sK3 @ Y10)))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 28.39/4.08 inference(binary_proxy_clausification,[],[f444])).
% 28.39/4.08 thf(f440,plain,(
% 28.39/4.08 spl0_1 | spl0_2),
% 28.39/4.08 inference(avatar_split_clause,[],[f431,f437,f433])).
% 28.39/4.08 thf(f431,plain,(
% 28.39/4.08 ($false = (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ 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]: ((in @ Y10 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ 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]: ((in @ Y10 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ sK2 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ 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]: ((in @ Y10 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ 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]: ((in @ Y10 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ sK2 @ Y0))))))),
% 28.39/4.08 inference(not_proxy_clausification,[],[f430])).
% 28.39/4.08 thf(f430,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ 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]: ((in @ Y10 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ 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]: ((in @ Y10 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ sK2 @ Y0)))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ 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]: ((in @ Y10 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ 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]: ((in @ Y10 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ sK2 @ Y0))))))),
% 28.39/4.08 inference(not_proxy_clausification,[],[f429])).
% 28.39/4.08 thf(f429,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ 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]: ((in @ Y10 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ 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]: ((in @ Y10 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ sK2 @ Y0)))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ 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]: ((in @ Y10 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ 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]: ((in @ Y10 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ sK2 @ Y0)))))) = $true)),
% 28.39/4.08 inference(binary_proxy_clausification,[],[f428])).
% 28.39/4.08 thf(f428,plain,(
% 28.39/4.08 (((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ 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]: ((in @ Y10 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ 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]: ((in @ Y10 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ sK2 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ 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]: ((in @ Y10 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ 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]: ((in @ Y10 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ sK2 @ Y0))))))) = $true)),
% 28.39/4.08 inference(not_proxy_clausification,[],[f427])).
% 28.39/4.08 thf(f427,plain,(
% 28.39/4.08 ((~ ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ 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]: ((in @ Y10 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ 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]: ((in @ Y10 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ sK2 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ 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]: ((in @ Y10 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ 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]: ((in @ Y10 @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y9 @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((qmltpeq @ Y6 @ Y9 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y7 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((young @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((man @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((fellow @ Y6 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y6 @ Y7 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y8 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((in @ Y3 @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((down @ Y3 @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((barrel @ Y3 @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((old @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((dirty @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((white @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((car @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((chevy @ Y5 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((lonely @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((way @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((street @ Y4 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((event @ Y3 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((city @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((hollywood @ Y2 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((front @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((furniture @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11))))))) | (~ (!! @ $i @ (^[Y11 : $i]: ((seat @ Y1 @ Y11) | (~ (rel_s4 @ Y0 @ Y11)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ sK2 @ Y0)))))))) = $false)),
% 28.39/4.08 inference(beta_eta_normalization,[],[f426])).
% 28.39/4.08 thf(f426,plain,(
% 28.39/4.08 ($false = ((^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (((((((((((((((((((((((((((((((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))) @ sK2))),
% 28.39/4.08 inference(sigma_clausification,[],[f425])).
% 28.39/4.08 thf(f425,plain,(
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@ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))))))),
% 28.39/4.08 inference(not_proxy_clausification,[],[f424])).
% 28.39/4.08 thf(f424,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f423])).
% 28.39/4.08 thf(f423,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f422])).
% 28.39/4.08 thf(f422,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((((((((((((((((((((((((((((((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f421])).
% 28.39/4.08 thf(f421,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f420])).
% 28.39/4.08 thf(f420,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((((((((((((((((((((((((((((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f419])).
% 28.39/4.08 thf(f419,plain,(
% 28.39/4.08 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))))),
% 28.39/4.08 inference(boolean_simplification,[],[f418])).
% 28.39/4.08 thf(f418,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((((((((((((((((((((((((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f417])).
% 28.39/4.08 thf(f417,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f416])).
% 28.39/4.08 thf(f416,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((((((((((((((((((((((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f415])).
% 28.39/4.08 thf(f415,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f414])).
% 28.39/4.08 thf(f414,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((((((((((((((((((((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f413])).
% 28.39/4.08 thf(f413,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f412])).
% 28.39/4.08 thf(f412,plain,(
% 28.39/4.08 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((((((((((((((((((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))))),
% 28.39/4.08 inference(boolean_simplification,[],[f411])).
% 28.39/4.08 thf(f411,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f410])).
% 28.39/4.08 thf(f410,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((((((((((((((((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f409])).
% 28.39/4.08 thf(f409,plain,(
% 28.39/4.08 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))))),
% 28.39/4.08 inference(boolean_simplification,[],[f408])).
% 28.39/4.08 thf(f408,plain,(
% 28.39/4.08 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((((((((((((((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))))),
% 28.39/4.08 inference(boolean_simplification,[],[f407])).
% 28.39/4.08 thf(f407,plain,(
% 28.39/4.08 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))))),
% 28.39/4.08 inference(boolean_simplification,[],[f406])).
% 28.39/4.08 thf(f406,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((((((((((((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f405])).
% 28.39/4.08 thf(f405,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f404])).
% 28.39/4.08 thf(f404,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((((((((((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f403])).
% 28.39/4.08 thf(f403,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f402])).
% 28.39/4.08 thf(f402,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((((((((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f401])).
% 28.39/4.08 thf(f401,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f400])).
% 28.39/4.08 thf(f400,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((((((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f399])).
% 28.39/4.08 thf(f399,plain,(
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@ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f398])).
% 28.39/4.08 thf(f398,plain,(
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@ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f397])).
% 28.39/4.08 thf(f397,plain,(
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@ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f396])).
% 28.39/4.08 thf(f396,plain,(
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@ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ 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]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f395])).
% 28.39/4.08 thf(f395,plain,(
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@ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f394])).
% 28.39/4.08 thf(f394,plain,(
% 28.39/4.08 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))))),
% 28.39/4.08 inference(boolean_simplification,[],[f393])).
% 28.39/4.08 thf(f393,plain,(
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@ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f392])).
% 28.39/4.08 thf(f392,plain,(
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@ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f391])).
% 28.39/4.08 thf(f391,plain,(
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@ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f390])).
% 28.39/4.08 thf(f390,plain,(
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@ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ 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]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f389])).
% 28.39/4.08 thf(f389,plain,(
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@ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f388])).
% 28.39/4.08 thf(f388,plain,(
% 28.39/4.08 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))))),
% 28.39/4.08 inference(boolean_simplification,[],[f387])).
% 28.39/4.08 thf(f387,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f386])).
% 28.39/4.08 thf(f386,plain,(
% 28.39/4.08 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))))),
% 28.39/4.08 inference(boolean_simplification,[],[f385])).
% 28.39/4.08 thf(f385,plain,(
% 28.39/4.08 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((((((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))))),
% 28.39/4.08 inference(boolean_simplification,[],[f384])).
% 28.39/4.08 thf(f384,plain,(
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@ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! 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@ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f383])).
% 28.39/4.08 thf(f383,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((((((((((((((((((((((((((((((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! 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@ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f382])).
% 28.39/4.08 thf(f382,plain,(
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@ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f381])).
% 28.39/4.08 thf(f381,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((((((((((((((((((((((((((((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f380])).
% 28.39/4.08 thf(f380,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f379])).
% 28.39/4.08 thf(f379,plain,(
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@ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! 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@ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f378])).
% 28.39/4.08 thf(f378,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f377])).
% 28.39/4.08 thf(f377,plain,(
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@ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f376])).
% 28.39/4.08 thf(f376,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (((((((((((((((((((((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f375])).
% 28.39/4.08 thf(f375,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => ((((((((((((((((((((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f374])).
% 28.39/4.08 thf(f374,plain,(
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@ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f373])).
% 28.39/4.08 thf(f373,plain,(
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@ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f372])).
% 28.39/4.08 thf(f372,plain,(
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@ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))))),
% 28.39/4.08 inference(boolean_simplification,[],[f371])).
% 28.39/4.08 thf(f371,plain,(
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@ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f370])).
% 28.39/4.08 thf(f370,plain,(
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@ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f369])).
% 28.39/4.08 thf(f369,plain,(
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@ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))))),
% 28.39/4.08 inference(boolean_simplification,[],[f368])).
% 28.39/4.08 thf(f368,plain,(
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@ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! 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@ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f367])).
% 28.39/4.08 thf(f367,plain,(
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@ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f366])).
% 28.39/4.08 thf(f366,plain,(
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@ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! 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@ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f365])).
% 28.39/4.08 thf(f365,plain,(
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@ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! 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@ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f364])).
% 28.39/4.08 thf(f364,plain,(
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@ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! 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@ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f363])).
% 28.39/4.08 thf(f363,plain,(
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@ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! 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@ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f362])).
% 28.39/4.08 thf(f362,plain,(
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@ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f361])).
% 28.39/4.08 thf(f361,plain,(
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@ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f360])).
% 28.39/4.08 thf(f360,plain,(
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@ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f359])).
% 28.39/4.08 thf(f359,plain,(
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@ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! 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@ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f358])).
% 28.39/4.08 thf(f358,plain,(
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@ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f357])).
% 28.39/4.08 thf(f357,plain,(
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@ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => ((((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))))),
% 28.39/4.08 inference(boolean_simplification,[],[f356])).
% 28.39/4.08 thf(f356,plain,(
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@ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))))),
% 28.39/4.08 inference(boolean_simplification,[],[f355])).
% 28.39/4.08 thf(f355,plain,(
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@ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! 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@ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f354])).
% 28.39/4.08 thf(f354,plain,(
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@ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f353])).
% 28.39/4.08 thf(f353,plain,(
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@ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f352])).
% 28.39/4.08 thf(f352,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f351])).
% 28.39/4.08 thf(f351,plain,(
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@ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f350])).
% 28.39/4.08 thf(f350,plain,(
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@ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f349])).
% 28.39/4.08 thf(f349,plain,(
% 28.39/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f348])).
% 28.39/4.08 thf(f348,plain,(
% 28.39/4.08 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! 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@ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! 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@ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))))),
% 28.39/4.08 inference(boolean_simplification,[],[f347])).
% 28.39/4.08 thf(f347,plain,(
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@ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! 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@ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))))),
% 28.39/4.08 inference(boolean_simplification,[],[f346])).
% 28.39/4.08 thf(f346,plain,(
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@ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f345])).
% 28.39/4.08 thf(f345,plain,(
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@ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y1) => (~ (~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y1) => (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y1) => (~ (~ (!! @ mu @ (^[Y7 : mu]: ((exists_in_world @ Y7 @ Y1) => (~ (~ (!! @ mu @ (^[Y8 : mu]: ((exists_in_world @ Y8 @ Y1) => (~ (~ (!! @ mu @ (^[Y9 : mu]: ((exists_in_world @ Y9 @ Y1) => (~ (~ (!! @ mu @ (^[Y10 : mu]: ((exists_in_world @ Y10 @ Y1) => (~ (~ (!! @ mu @ (^[Y11 : mu]: ((exists_in_world @ Y11 @ Y1) => (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y11 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ 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]: ((in @ Y11 @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y8 @ Y11 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y10 @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((qmltpeq @ Y7 @ Y10 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y8 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((young @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((man @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((fellow @ Y7 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((~ (!! @ $i @ (^[Y13 : $i]: ((qmltpeq @ Y7 @ Y8 @ Y13) | (~ (rel_s4 @ Y12 @ Y13)))))) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y9 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((in @ Y4 @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((down @ Y4 @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((barrel @ Y4 @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((old @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((dirty @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((white @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((car @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((chevy @ Y6 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((lonely @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((way @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((street @ Y5 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((event @ Y4 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((city @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((hollywood @ Y3 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((front @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((furniture @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12))))))))) | (~ (!! @ $i @ (^[Y12 : $i]: ((seat @ Y2 @ Y12) | (~ (rel_s4 @ Y1 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)),
% 28.39/4.08 inference(boolean_simplification,[],[f344])).
% 28.39/4.08 thf(f344,plain,(
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% 28.39/4.08 inference(beta_eta_normalization,[],[f269])).
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@ $i @ (^[Y12 : $i]: ((Y10 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))))) @ (young @ Y6)) @ ((^[Y10 : $i > $o]: ((^[Y11 : $i > $o]: ((^[Y12 : $i > $o]: ((^[Y13 : $i]: (~ (Y12 @ Y13))))) @ ((^[Y12 : $i > $o]: ((^[Y13 : $i > $o]: ((^[Y14 : $i]: ((Y13 @ Y14) | (Y12 @ 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]: ((Y10 @ Y12) | (~ (rel_s4 @ Y11 @ 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]: ((Y13 @ Y14) | (Y12 @ 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]: ((Y10 @ Y12) | (~ (rel_s4 @ Y11 @ 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]: ((Y13 @ Y14) | (Y12 @ 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]: ((Y10 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))))) @ (qmltpeq @ Y6 @ Y9)) @ ((^[Y10 : $i > $o]: ((^[Y11 : $i]: (!! @ $i @ (^[Y12 : $i]: ((Y10 @ Y12) | (~ (rel_s4 @ Y11 @ Y12)))))))) @ (in @ Y9 @ Y0))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 28.39/4.08 inference(definition_unfolding,[],[f211,f220,f254,f229,f255,f260,f260,f260,f260,f260,f260,f260,f260,f260,f260,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f218,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f229,f260,f260,f260,f260,f260,f260,f260,f260,f260,f260,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f218,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f229,f229,f255,f260,f260,f260,f260,f260,f260,f260,f260,f260,f260,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f218,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f229,f260,f260,f260,f260,f260,f260,f260,f260,f260,f260,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f218,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f254,f229,f229])).
% 28.39/4.08 thf(f218,plain,(
% 28.39/4.08 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 28.39/4.08 inference(cnf_transformation,[],[f179])).
% 28.39/4.08 thf(f179,plain,(
% 28.39/4.08 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 28.39/4.08 inference(fool_elimination,[],[f178])).
% 28.39/4.08 thf(f178,plain,(
% 28.39/4.08 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 28.39/4.08 inference(rectify,[],[f2])).
% 28.39/4.08 thf(f2,axiom,(
% 28.39/4.08 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))),
% 28.39/4.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 28.39/4.08 thf(f260,plain,(
% 28.39/4.08 (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)))))))),
% 28.39/4.08 inference(definition_unfolding,[],[f239,f218,f246,f218])).
% 28.39/4.08 thf(f246,plain,(
% 28.39/4.08 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 28.39/4.08 inference(cnf_transformation,[],[f93])).
% 28.39/4.08 thf(f93,plain,(
% 28.39/4.08 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 28.39/4.08 inference(fool_elimination,[],[f92])).
% 28.39/4.08 thf(f92,plain,(
% 28.39/4.08 ((^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : ((exists_in_world @ X2 @ X1) => (X0 @ X2 @ X1)))) = mforall_ind)),
% 28.39/4.08 inference(rectify,[],[f15])).
% 28.39/4.08 thf(f15,axiom,(
% 28.39/4.08 ((^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : ((exists_in_world @ X0 @ X2) => (X3 @ X0 @ X2)))) = mforall_ind)),
% 28.39/4.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_ind)).
% 28.39/4.08 thf(f239,plain,(
% 28.39/4.08 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 28.39/4.08 inference(cnf_transformation,[],[f183])).
% 28.39/4.08 thf(f183,plain,(
% 28.39/4.08 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 28.39/4.08 inference(fool_elimination,[],[f182])).
% 28.39/4.08 thf(f182,plain,(
% 28.39/4.08 ((^[X0 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X1 : mu] : (mnot @ (X0 @ X1)))))) = mexists_ind)),
% 28.39/4.08 inference(rectify,[],[f16])).
% 28.39/4.08 thf(f16,axiom,(
% 28.39/4.08 ((^[X3 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X0 : mu] : (mnot @ (X3 @ X0)))))) = mexists_ind)),
% 28.39/4.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_ind)).
% 28.39/4.08 thf(f255,plain,(
% 28.39/4.08 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 28.39/4.08 inference(definition_unfolding,[],[f202,f210,f218])).
% 28.39/4.08 thf(f210,plain,(
% 28.39/4.08 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 28.39/4.08 inference(cnf_transformation,[],[f147])).
% 28.39/4.08 thf(f147,plain,(
% 28.39/4.08 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 28.39/4.08 inference(fool_elimination,[],[f146])).
% 28.39/4.08 thf(f146,plain,(
% 28.39/4.08 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
% 28.39/4.08 inference(rectify,[],[f3])).
% 28.39/4.08 thf(f3,axiom,(
% 28.39/4.08 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))))),
% 28.39/4.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 28.39/4.08 thf(f202,plain,(
% 28.39/4.08 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 28.39/4.08 inference(cnf_transformation,[],[f91])).
% 28.39/4.08 thf(f91,plain,(
% 28.39/4.08 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 28.39/4.08 inference(fool_elimination,[],[f90])).
% 28.39/4.08 thf(f90,plain,(
% 28.39/4.08 (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 28.39/4.08 inference(rectify,[],[f9])).
% 28.39/4.08 thf(f9,axiom,(
% 28.39/4.08 (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))),
% 28.39/4.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
% 28.39/4.08 thf(f229,plain,(
% 28.39/4.08 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))))),
% 28.39/4.08 inference(cnf_transformation,[],[f121])).
% 28.39/4.08 thf(f121,plain,(
% 28.39/4.08 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))))),
% 28.39/4.08 inference(fool_elimination,[],[f120])).
% 28.39/4.08 thf(f120,plain,(
% 28.39/4.08 ((^[X0 : $i > $o, X1 : $i] : (! [X2] : (~(rel_s4 @ X1 @ X2) | (X0 @ X2)))) = mbox_s4)),
% 28.39/4.08 inference(rectify,[],[f32])).
% 28.39/4.08 thf(f32,axiom,(
% 28.39/4.08 ((^[X3 : $i > $o, X2 : $i] : (! [X6] : (~(rel_s4 @ X2 @ X6) | (X3 @ X6)))) = mbox_s4)),
% 28.39/4.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_s4)).
% 28.39/4.08 thf(f254,plain,(
% 28.39/4.08 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
% 28.39/4.08 inference(definition_unfolding,[],[f212,f218,f210,f218,f218])).
% 28.39/4.08 thf(f212,plain,(
% 28.39/4.08 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 28.39/4.08 inference(cnf_transformation,[],[f123])).
% 28.39/4.08 thf(f123,plain,(
% 28.39/4.08 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 28.39/4.08 inference(fool_elimination,[],[f122])).
% 28.39/4.08 thf(f122,plain,(
% 28.39/4.08 ((^[X0 : $i > $o, X1 : $i > $o] : (mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))) = mand)),
% 28.39/4.08 inference(rectify,[],[f8])).
% 28.39/4.08 thf(f8,axiom,(
% 28.39/4.08 ((^[X3 : $i > $o, X4 : $i > $o] : (mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))) = mand)),
% 28.39/4.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand)).
% 28.39/4.08 thf(f220,plain,(
% 28.39/4.08 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 28.39/4.08 inference(cnf_transformation,[],[f99])).
% 28.39/4.08 thf(f99,plain,(
% 28.39/4.08 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 28.39/4.08 inference(fool_elimination,[],[f98])).
% 28.39/4.08 thf(f98,plain,(
% 28.39/4.08 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 28.39/4.08 inference(rectify,[],[f28])).
% 28.39/4.08 thf(f28,axiom,(
% 28.39/4.08 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
% 28.39/4.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 28.39/4.08 thf(f211,plain,(
% 28.39/4.08 ((~ (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 @ (street @ Y3)) @ (mand @ (mbox_s4 @ (way @ Y3)) @ (mand @ (mbox_s4 @ (lonely @ Y3)) @ (mand @ (mbox_s4 @ (chevy @ Y4)) @ (mand @ (mbox_s4 @ (car @ Y4)) @ (mand @ (mbox_s4 @ (white @ Y4)) @ (mand @ (mbox_s4 @ (dirty @ Y4)) @ (mand @ (mbox_s4 @ (old @ Y4)) @ (mand @ (mbox_s4 @ (barrel @ Y2 @ Y4)) @ (mand @ (mbox_s4 @ (down @ Y2 @ Y3)) @ (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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(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 @ (street @ Y3)) @ (mand @ (mbox_s4 @ (way @ Y3)) @ (mand @ (mbox_s4 @ (lonely @ Y3)) @ (mand @ (mbox_s4 @ (chevy @ Y4)) @ (mand @ (mbox_s4 @ (car @ Y4)) @ (mand @ (mbox_s4 @ (white @ Y4)) @ (mand @ (mbox_s4 @ (dirty @ Y4)) @ (mand @ (mbox_s4 @ (old @ Y4)) @ (mand @ (mbox_s4 @ (barrel @ Y2 @ Y4)) @ (mand @ (mbox_s4 @ (down @ Y2 @ Y3)) @ (mand @ (mbox_s4 @ (in @ Y2 @ Y1)) @ (mand @ (mbox_s4 @ (seat @ Y7)) @ (mand @ (mbox_s4 @ (furniture @ Y7)) @ (mand @ 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@ (mbox_s4 @ (street @ Y3)) @ (mand @ (mbox_s4 @ (way @ Y3)) @ (mand @ (mbox_s4 @ (lonely @ Y3)) @ (mand @ (mbox_s4 @ (chevy @ Y4)) @ (mand @ (mbox_s4 @ (car @ Y4)) @ (mand @ (mbox_s4 @ (white @ Y4)) @ (mand @ (mbox_s4 @ (dirty @ Y4)) @ (mand @ (mbox_s4 @ (old @ Y4)) @ (mand @ (mbox_s4 @ (barrel @ Y2 @ Y4)) @ (mand @ (mbox_s4 @ (down @ Y2 @ Y3)) @ (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 28.39/4.08 inference(cnf_transformation,[],[f103])).
% 28.39/4.08 thf(f103,plain,(
% 28.39/4.08 ((~ (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 @ (street @ Y3)) @ (mand @ (mbox_s4 @ (way @ Y3)) @ (mand @ (mbox_s4 @ (lonely @ Y3)) @ (mand @ (mbox_s4 @ (chevy @ Y4)) @ (mand @ (mbox_s4 @ (car @ Y4)) @ (mand @ (mbox_s4 @ (white @ Y4)) @ (mand @ (mbox_s4 @ (dirty @ Y4)) @ (mand @ (mbox_s4 @ (old @ Y4)) @ (mand @ (mbox_s4 @ (barrel @ Y2 @ Y4)) @ (mand @ (mbox_s4 @ (down @ Y2 @ Y3)) @ (mand @ (mbox_s4 @ (in @ Y2 @ Y1)) @ (mand @ (mbox_s4 @ (seat @ Y7)) @ (mand @ (mbox_s4 @ 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(mbox_s4 @ (event @ Y2)) @ (mand @ (mbox_s4 @ (street @ Y3)) @ (mand @ (mbox_s4 @ (way @ Y3)) @ (mand @ (mbox_s4 @ (lonely @ Y3)) @ (mand @ (mbox_s4 @ (chevy @ Y4)) @ (mand @ (mbox_s4 @ (car @ Y4)) @ (mand @ (mbox_s4 @ (white @ Y4)) @ (mand @ (mbox_s4 @ (dirty @ Y4)) @ (mand @ (mbox_s4 @ (old @ Y4)) @ (mand @ (mbox_s4 @ (barrel @ Y2 @ Y4)) @ (mand @ (mbox_s4 @ (down @ Y2 @ Y3)) @ (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 @ Y0)) @ (mand @ (mbox_s4 @ (qmltpeq @ Y6 @ Y9)) @ (mbox_s4 @ (in @ Y9 @ Y7)))))))))))))))))))))))))))))))))))))))))))))))))))))) @ 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(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 @ Y0)) @ (mand @ (mbox_s4 @ (qmltpeq @ Y6 @ Y9)) @ (mbox_s4 @ (in @ Y9 @ Y7)))))))))))))))))))))))))))))))))))))))))))))))))))) @ (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 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% 28.39/4.08 inference(fool_elimination,[],[f102])).
% 28.39/4.08 thf(f102,plain,(
% 28.39/4.08 ~(mvalid @ (mand @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[X0 : mu] : (mexists_ind @ (^[X1 : mu] : (mexists_ind @ (^[X2 : mu] : (mexists_ind @ (^[X3 : mu] : (mexists_ind @ (^[X4 : mu] : (mexists_ind @ (^[X5 : mu] : (mexists_ind @ (^[X6 : mu] : (mexists_ind @ (^[X7 : mu] : (mexists_ind @ (^[X8 : mu] : (mexists_ind @ (^[X9 : mu] : (mand @ (mbox_s4 @ (seat @ X0)) @ (mand @ (mbox_s4 @ (furniture @ X0)) @ (mand @ (mbox_s4 @ (front @ X0)) @ (mand @ (mbox_s4 @ (hollywood @ X1)) @ (mand @ (mbox_s4 @ (city @ X1)) @ (mand @ (mbox_s4 @ (event @ X2)) @ (mand @ (mbox_s4 @ (street @ X3)) @ (mand @ (mbox_s4 @ (way @ X3)) @ (mand @ (mbox_s4 @ (lonely @ X3)) @ (mand @ (mbox_s4 @ (chevy @ X4)) @ (mand @ (mbox_s4 @ (car @ X4)) @ (mand @ (mbox_s4 @ (white @ X4)) @ (mand @ (mbox_s4 @ (dirty @ X4)) @ (mand @ (mbox_s4 @ (old @ X4)) @ (mand @ (mbox_s4 @ (barrel @ X2 @ X4)) @ (mand @ (mbox_s4 @ (down @ X2 @ X3)) @ (mand @ (mbox_s4 @ (in @ X2 @ X1)) @ (mand @ (mbox_s4 @ (seat @ X7)) @ (mand @ 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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 @ (street @ X23)) @ (mand @ (mbox_s4 @ (way @ X23)) @ (mand @ (mbox_s4 @ (lonely @ X23)) @ (mand @ (mbox_s4 @ (chevy @ X24)) @ (mand @ (mbox_s4 @ (car @ X24)) @ (mand @ (mbox_s4 @ (white @ X24)) @ (mand @ (mbox_s4 @ (dirty @ X24)) @ (mand @ (mbox_s4 @ (old @ X24)) @ (mand @ (mbox_s4 @ (barrel @ X22 @ X24)) @ (mand @ (mbox_s4 @ (down @ X22 @ X23)) @ (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 @ (street @ X33)) @ (mand @ (mbox_s4 @ (way @ X33)) @ (mand @ (mbox_s4 @ (lonely @ X33)) @ (mand @ (mbox_s4 @ (chevy @ X34)) @ (mand @ (mbox_s4 @ (car @ X34)) @ (mand @ (mbox_s4 @ (white @ X34)) @ (mand @ (mbox_s4 @ (dirty @ X34)) @ (mand @ (mbox_s4 @ (old @ X34)) @ (mand @ (mbox_s4 @ (barrel @ X32 @ X34)) @ (mand @ (mbox_s4 @ (down @ X32 @ X33)) @ (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 28.39/4.08 inference(rectify,[],[f64])).
% 28.39/4.08 thf(f64,negated_conjecture,(
% 28.39/4.08 ~(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 @ (street @ X0)) @ (mand @ (mbox_s4 @ (way @ X0)) @ (mand @ (mbox_s4 @ (lonely @ X0)) @ (mand @ (mbox_s4 @ (chevy @ X1)) @ (mand @ (mbox_s4 @ (car @ X1)) @ (mand @ (mbox_s4 @ (white @ X1)) @ (mand @ (mbox_s4 @ (dirty @ X1)) @ (mand @ (mbox_s4 @ (old @ X1)) @ (mand @ (mbox_s4 @ (barrel @ X2 @ X1)) @ (mand @ (mbox_s4 @ (down @ X2 @ X0)) @ (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 @ (street @ X22)) @ (mand @ (mbox_s4 @ (way @ X22)) @ (mand @ (mbox_s4 @ (lonely @ 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 @ (barrel @ X21 @ X23)) @ (mand @ (mbox_s4 @ (down @ X21 @ X22)) @ (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 @ (street @ X32)) @ (mand @ (mbox_s4 @ (way @ X32)) @ (mand @ (mbox_s4 @ (lonely @ 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 @ (barrel @ X31 @ X33)) @ (mand @ (mbox_s4 @ (down @ X31 @ X32)) @ (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 @ (street @ X42)) @ (mand @ (mbox_s4 @ (way @ X42)) @ (mand @ (mbox_s4 @ (lonely @ X42)) @ (mand @ (mbox_s4 @ (chevy @ X43)) @ (mand @ (mbox_s4 @ (car @ X43)) @ (mand @ (mbox_s4 @ (white @ X43)) @ (mand @ (mbox_s4 @ (dirty @ X43)) @ (mand @ (mbox_s4 @ (old @ X43)) @ (mand @ (mbox_s4 @ (barrel @ X41 @ X43)) @ (mand @ (mbox_s4 @ (down @ X41 @ X42)) @ (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 28.39/4.08 inference(negated_conjecture,[],[f63])).
% 28.39/4.08 thf(f63,conjecture,(
% 28.39/4.08 (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 @ (street @ X0)) @ (mand @ (mbox_s4 @ (way @ X0)) @ (mand @ (mbox_s4 @ (lonely @ X0)) @ (mand @ (mbox_s4 @ (chevy @ X1)) @ (mand @ (mbox_s4 @ (car @ X1)) @ (mand @ (mbox_s4 @ (white @ X1)) @ (mand @ (mbox_s4 @ (dirty @ X1)) @ (mand @ (mbox_s4 @ (old @ X1)) @ (mand @ (mbox_s4 @ (barrel @ X2 @ X1)) @ (mand @ (mbox_s4 @ (down @ X2 @ X0)) @ (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 @ (street @ X22)) @ (mand @ (mbox_s4 @ (way @ X22)) @ (mand @ (mbox_s4 @ (lonely @ 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 @ (barrel @ X21 @ X23)) @ (mand @ (mbox_s4 @ (down @ X21 @ X22)) @ (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 @ (street @ X32)) @ (mand @ (mbox_s4 @ (way @ X32)) @ (mand @ (mbox_s4 @ (lonely @ 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 @ (barrel @ X31 @ X33)) @ (mand @ (mbox_s4 @ (down @ X31 @ X32)) @ (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 @ (street @ X42)) @ (mand @ (mbox_s4 @ (way @ X42)) @ (mand @ (mbox_s4 @ (lonely @ X42)) @ (mand @ (mbox_s4 @ (chevy @ X43)) @ (mand @ (mbox_s4 @ (car @ X43)) @ (mand @ (mbox_s4 @ (white @ X43)) @ (mand @ (mbox_s4 @ (dirty @ X43)) @ (mand @ (mbox_s4 @ (old @ X43)) @ (mand @ (mbox_s4 @ (barrel @ X41 @ X43)) @ (mand @ (mbox_s4 @ (down @ X41 @ X42)) @ (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 28.39/4.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)).
% 28.39/4.08 % SZS output end Proof for theBenchmark
% 28.39/4.08 % (905)------------------------------
% 28.39/4.08 % (905)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 28.39/4.08 % (905)Termination reason: Refutation
% 28.39/4.08
% 28.39/4.08 % (905)Memory used [KB]: 27632
% 28.39/4.08 % (905)Time elapsed: 2.206 s
% 28.39/4.08 % (905)Instructions burned: 4032 (million)
% 28.39/4.08 % (905)------------------------------
% 28.39/4.08 % (905)------------------------------
% 28.39/4.08 % (783)Success in time 3.667 s
% 28.39/4.08 % Vampire---4.8 exiting
%------------------------------------------------------------------------------