0.07/0.13	% Problem    : Vampire---4.8_30204 : TPTP v0.0.0. Released v0.0.0.
0.07/0.15	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.14/0.36	% Computer : n024.cluster.edu
0.14/0.36	% Model    : x86_64 x86_64
0.14/0.36	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.36	% Memory   : 8042.1875MB
0.14/0.36	% OS       : Linux 3.10.0-693.el7.x86_64
0.14/0.36	% CPULimit   : 1440
0.14/0.36	% WCLimit    : 180
0.14/0.36	% DateTime   : Mon Jul  3 12:52:23 EDT 2023
0.14/0.36	% CPUTime    : 
0.14/0.37	This is a THF_ problem
0.14/0.37	Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.NDla5YzjEU/Vampire---4.8_30204 -m 12000  -t 180
0.22/0.39	% (30462)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi)
0.22/0.39	% (30461)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on Vampire---4 for (1799ds/385Mi)
0.22/0.39	% (30458)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi)
0.22/0.39	% (30460)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1799ds/34Mi)
0.22/0.39	% (30459)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi)
0.22/0.39	% (30463)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on Vampire---4 for (1799ds/74Mi)
0.22/0.39	% (30464)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1799ds/4Mi)
0.22/0.39	% (30465)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on Vampire---4 for (1799ds/915Mi)
0.22/0.39	% (30464)Instruction limit reached!
0.22/0.39	% (30464)------------------------------
0.22/0.39	% (30464)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.39	% (30464)Termination reason: Unknown
0.22/0.39	% (30464)Termination phase: shuffling
0.22/0.39	
0.22/0.39	% (30464)Memory used [KB]: 1023
0.22/0.39	% (30464)Time elapsed: 0.004 s
0.22/0.39	% (30464)Instructions burned: 4 (million)
0.22/0.39	% (30464)------------------------------
0.22/0.39	% (30464)------------------------------
0.22/0.40	% (30465)Refutation not found, incomplete strategy
0.22/0.40	% (30465)------------------------------
0.22/0.40	% (30465)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.40	% (30465)Termination reason: Refutation not found, incomplete strategy
0.22/0.40	
0.22/0.40	
0.22/0.40	% (30465)Memory used [KB]: 5500
0.22/0.40	% (30465)Time elapsed: 0.008 s
0.22/0.40	% (30465)Instructions burned: 11 (million)
0.22/0.40	% (30465)------------------------------
0.22/0.40	% (30465)------------------------------
0.22/0.40	% (30462)Instruction limit reached!
0.22/0.40	% (30462)------------------------------
0.22/0.40	% (30462)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.40	% (30462)Termination reason: Unknown
0.22/0.40	% (30462)Termination phase: Saturation
0.22/0.40	
0.22/0.40	% (30462)Memory used [KB]: 5628
0.22/0.40	% (30462)Time elapsed: 0.010 s
0.22/0.40	% (30462)Instructions burned: 17 (million)
0.22/0.40	% (30462)------------------------------
0.22/0.40	% (30462)------------------------------
0.22/0.40	% (30460)Instruction limit reached!
0.22/0.40	% (30460)------------------------------
0.22/0.40	% (30460)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.40	% (30460)Termination reason: Unknown
0.22/0.40	% (30460)Termination phase: Saturation
0.22/0.40	
0.22/0.40	% (30460)Memory used [KB]: 5756
0.22/0.40	% (30460)Time elapsed: 0.017 s
0.22/0.40	% (30460)Instructions burned: 34 (million)
0.22/0.40	% (30460)------------------------------
0.22/0.40	% (30460)------------------------------
0.22/0.40	% (30459)Instruction limit reached!
0.22/0.40	% (30459)------------------------------
0.22/0.40	% (30459)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.40	% (30459)Termination reason: Unknown
0.22/0.40	% (30459)Termination phase: Saturation
0.22/0.40	
0.22/0.40	% (30459)Memory used [KB]: 5756
0.22/0.40	% (30459)Time elapsed: 0.018 s
0.22/0.40	% (30459)Instructions burned: 36 (million)
0.22/0.40	% (30459)------------------------------
0.22/0.40	% (30459)------------------------------
0.22/0.41	% (30466)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (1799ds/21Mi)
0.22/0.41	% (30467)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi)
0.22/0.41	% (30468)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on Vampire---4 for (1799ds/1021Mi)
0.22/0.41	% (30467)Instruction limit reached!
0.22/0.41	% (30467)------------------------------
0.22/0.41	% (30467)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.41	% (30467)Termination reason: Unknown
0.22/0.41	% (30467)Termination phase: Property scanning
0.22/0.41	
0.22/0.41	% (30467)Memory used [KB]: 1023
0.22/0.41	% (30467)Time elapsed: 0.005 s
0.22/0.41	% (30467)Instructions burned: 7 (million)
0.22/0.41	% (30467)------------------------------
0.22/0.41	% (30467)------------------------------
0.22/0.42	% (30466)Instruction limit reached!
0.22/0.42	% (30466)------------------------------
0.22/0.42	% (30466)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.42	% (30466)Termination reason: Unknown
0.22/0.42	% (30466)Termination phase: Saturation
0.22/0.42	
0.22/0.42	% (30466)Memory used [KB]: 5628
0.22/0.42	% (30466)Time elapsed: 0.012 s
0.22/0.42	% (30466)Instructions burned: 23 (million)
0.22/0.42	% (30466)------------------------------
0.22/0.42	% (30466)------------------------------
0.22/0.42	% (30469)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (1799ds/71Mi)
0.22/0.42	% (30470)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=9:si=on:rtra=on_0 on Vampire---4 for (1799ds/9Mi)
0.22/0.42	% (30463)Instruction limit reached!
0.22/0.42	% (30463)------------------------------
0.22/0.42	% (30463)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.42	% (30463)Termination reason: Unknown
0.22/0.42	% (30463)Termination phase: Saturation
0.22/0.42	
0.22/0.42	% (30463)Memory used [KB]: 5884
0.22/0.42	% (30463)Time elapsed: 0.036 s
0.22/0.42	% (30463)Instructions burned: 74 (million)
0.22/0.42	% (30463)------------------------------
0.22/0.42	% (30463)------------------------------
0.22/0.42	% (30470)Instruction limit reached!
0.22/0.42	% (30470)------------------------------
0.22/0.42	% (30470)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.42	% (30470)Termination reason: Unknown
0.22/0.42	% (30470)Termination phase: Function definition elimination
0.22/0.42	
0.22/0.42	% (30470)Memory used [KB]: 1151
0.22/0.42	% (30470)Time elapsed: 0.007 s
0.22/0.42	% (30470)Instructions burned: 10 (million)
0.22/0.42	% (30470)------------------------------
0.22/0.42	% (30470)------------------------------
0.22/0.43	% (30471)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on Vampire---4 for (1799ds/1044Mi)
0.22/0.43	% (30472)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on Vampire---4 for (1799ds/128Mi)
0.22/0.43	% (30458)Instruction limit reached!
0.22/0.43	% (30458)------------------------------
0.22/0.43	% (30458)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.43	% (30458)Termination reason: Unknown
0.22/0.43	% (30458)Termination phase: Saturation
0.22/0.43	
0.22/0.43	% (30458)Memory used [KB]: 5884
0.22/0.43	% (30458)Time elapsed: 0.045 s
0.22/0.43	% (30458)Instructions burned: 96 (million)
0.22/0.43	% (30458)------------------------------
0.22/0.43	% (30458)------------------------------
0.22/0.44	% (30473)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi)
0.22/0.44	% (30474)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi)
0.22/0.45	% (30474)Instruction limit reached!
0.22/0.45	% (30474)------------------------------
0.22/0.45	% (30474)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.45	% (30474)Termination reason: Unknown
0.22/0.45	% (30474)Termination phase: Property scanning
0.22/0.45	
0.22/0.45	% (30474)Memory used [KB]: 1151
0.22/0.45	% (30474)Time elapsed: 0.009 s
0.22/0.45	% (30474)Instructions burned: 15 (million)
0.22/0.45	% (30474)------------------------------
0.22/0.45	% (30474)------------------------------
0.22/0.45	% (30475)lrs+2_5:1_cnfonf=lazy_not_be_gen:hud=10:inj=on:ntd=on:tnu=1:i=2:si=on:rtra=on_0 on Vampire---4 for (1799ds/2Mi)
0.22/0.45	% (30475)Instruction limit reached!
0.22/0.45	% (30475)------------------------------
0.22/0.45	% (30475)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.45	% (30475)Termination reason: Unknown
0.22/0.45	% (30475)Termination phase: shuffling
0.22/0.45	
0.22/0.45	% (30475)Memory used [KB]: 1023
0.22/0.45	% (30475)Time elapsed: 0.003 s
0.22/0.45	% (30475)Instructions burned: 2 (million)
0.22/0.45	% (30475)------------------------------
0.22/0.45	% (30475)------------------------------
0.22/0.45	% (30469)Instruction limit reached!
0.22/0.45	% (30469)------------------------------
0.22/0.45	% (30469)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.45	% (30469)Termination reason: Unknown
0.22/0.45	% (30469)Termination phase: Saturation
0.22/0.45	
0.22/0.45	% (30469)Memory used [KB]: 6012
0.22/0.45	% (30469)Time elapsed: 0.037 s
0.22/0.45	% (30469)Instructions burned: 71 (million)
0.22/0.45	% (30469)------------------------------
0.22/0.45	% (30469)------------------------------
0.22/0.46	% (30476)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (1799ds/1041Mi)
0.22/0.46	% (30477)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on Vampire---4 for (1799ds/11Mi)
0.22/0.46	% (30473)Instruction limit reached!
0.22/0.46	% (30473)------------------------------
0.22/0.46	% (30473)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.46	% (30473)Termination reason: Unknown
0.22/0.46	% (30473)Termination phase: Saturation
0.22/0.46	
0.22/0.46	% (30473)Memory used [KB]: 5884
0.22/0.46	% (30473)Time elapsed: 0.027 s
0.22/0.46	% (30473)Instructions burned: 61 (million)
0.22/0.46	% (30473)------------------------------
0.22/0.46	% (30473)------------------------------
0.22/0.47	% (30477)Instruction limit reached!
0.22/0.47	% (30477)------------------------------
0.22/0.47	% (30477)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.47	% (30477)Termination reason: Unknown
0.22/0.47	% (30477)Termination phase: Property scanning
0.22/0.47	
0.22/0.47	% (30477)Memory used [KB]: 1151
0.22/0.47	% (30477)Time elapsed: 0.007 s
0.22/0.47	% (30477)Instructions burned: 11 (million)
0.22/0.47	% (30477)------------------------------
0.22/0.47	% (30477)------------------------------
0.22/0.47	% (30478)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on Vampire---4 for (1799ds/140Mi)
0.22/0.48	% (30479)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=26:si=on:rtra=on_0 on Vampire---4 for (1799ds/26Mi)
0.22/0.48	% (30480)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on Vampire---4 for (1799ds/56Mi)
0.22/0.49	% (30479)Instruction limit reached!
0.22/0.49	% (30479)------------------------------
0.22/0.49	% (30479)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.49	% (30479)Termination reason: Unknown
0.22/0.49	% (30479)Termination phase: Saturation
0.22/0.49	
0.22/0.49	% (30479)Memory used [KB]: 5756
0.22/0.49	% (30479)Time elapsed: 0.011 s
0.22/0.49	% (30479)Instructions burned: 28 (million)
0.22/0.49	% (30479)------------------------------
0.22/0.49	% (30479)------------------------------
0.22/0.49	% (30478)Refutation not found, incomplete strategy
0.22/0.49	% (30478)------------------------------
0.22/0.49	% (30478)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.49	% (30478)Termination reason: Refutation not found, incomplete strategy
0.22/0.49	
0.22/0.49	
0.22/0.49	% (30478)Memory used [KB]: 5756
0.22/0.49	% (30478)Time elapsed: 0.020 s
0.22/0.49	% (30478)Instructions burned: 47 (million)
0.22/0.49	% (30478)------------------------------
0.22/0.49	% (30478)------------------------------
0.22/0.49	% (30472)Instruction limit reached!
0.22/0.49	% (30472)------------------------------
0.22/0.49	% (30472)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.49	% (30472)Termination reason: Unknown
0.22/0.49	% (30472)Termination phase: Saturation
0.22/0.49	
0.22/0.49	% (30472)Memory used [KB]: 6140
0.22/0.49	% (30472)Time elapsed: 0.060 s
0.22/0.49	% (30472)Instructions burned: 128 (million)
0.22/0.49	% (30472)------------------------------
0.22/0.49	% (30472)------------------------------
0.22/0.50	% (30481)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (1798ds/275Mi)
0.22/0.50	% (30482)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1798ds/3Mi)
0.22/0.50	% (30482)Instruction limit reached!
0.22/0.50	% (30482)------------------------------
0.22/0.50	% (30482)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.50	% (30482)Termination reason: Unknown
0.22/0.50	% (30482)Termination phase: shuffling
0.22/0.50	
0.22/0.50	% (30482)Memory used [KB]: 1023
0.22/0.50	% (30482)Time elapsed: 0.002 s
0.22/0.50	% (30482)Instructions burned: 4 (million)
0.22/0.50	% (30482)------------------------------
0.22/0.50	% (30482)------------------------------
0.22/0.50	% (30483)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on Vampire---4 for (1798ds/19Mi)
0.22/0.50	% (30480)Instruction limit reached!
0.22/0.50	% (30480)------------------------------
0.22/0.50	% (30480)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.50	% (30480)Termination reason: Unknown
0.22/0.50	% (30480)Termination phase: Saturation
0.22/0.50	
0.22/0.50	% (30480)Memory used [KB]: 1279
0.22/0.50	% (30480)Time elapsed: 0.022 s
0.22/0.50	% (30480)Instructions burned: 58 (million)
0.22/0.50	% (30480)------------------------------
0.22/0.50	% (30480)------------------------------
0.22/0.50	% (30483)Instruction limit reached!
0.22/0.50	% (30483)------------------------------
0.22/0.50	% (30483)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.51	% (30483)Termination reason: Unknown
0.22/0.51	% (30483)Termination phase: Saturation
0.22/0.51	
0.22/0.51	% (30483)Memory used [KB]: 5628
0.22/0.51	% (30483)Time elapsed: 0.006 s
0.22/0.51	% (30483)Instructions burned: 20 (million)
0.22/0.51	% (30483)------------------------------
0.22/0.51	% (30483)------------------------------
0.22/0.51	% (30486)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on Vampire---4 for (1798ds/44Mi)
0.22/0.51	% (30481)Refutation not found, incomplete strategy
0.22/0.51	% (30481)------------------------------
0.22/0.51	% (30481)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.51	% (30481)Termination reason: Refutation not found, incomplete strategy
0.22/0.51	
0.22/0.51	
0.22/0.51	% (30481)Memory used [KB]: 5756
0.22/0.51	% (30481)Time elapsed: 0.013 s
0.22/0.51	% (30481)Instructions burned: 46 (million)
0.22/0.51	% (30481)------------------------------
0.22/0.51	% (30481)------------------------------
1.26/0.51	% (30491)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on Vampire---4 for (1798ds/62Mi)
1.26/0.52	% (30488)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=191:si=on:rtra=on_0 on Vampire---4 for (1798ds/191Mi)
1.26/0.52	% (30486)Instruction limit reached!
1.26/0.52	% (30486)------------------------------
1.26/0.52	% (30486)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.26/0.52	% (30486)Termination reason: Unknown
1.26/0.52	% (30486)Termination phase: Saturation
1.26/0.52	
1.26/0.52	% (30486)Memory used [KB]: 1279
1.26/0.52	% (30486)Time elapsed: 0.015 s
1.26/0.52	% (30486)Instructions burned: 45 (million)
1.26/0.52	% (30486)------------------------------
1.26/0.52	% (30486)------------------------------
1.26/0.52	% (30493)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=105:si=on:rtra=on_0 on Vampire---4 for (1798ds/105Mi)
1.26/0.53	% (30498)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1798ds/3Mi)
1.26/0.53	% (30491)Instruction limit reached!
1.26/0.53	% (30491)------------------------------
1.26/0.53	% (30491)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.26/0.53	% (30491)Termination reason: Unknown
1.26/0.53	% (30491)Termination phase: Saturation
1.26/0.53	
1.26/0.53	% (30491)Memory used [KB]: 5884
1.26/0.53	% (30491)Time elapsed: 0.019 s
1.26/0.53	% (30491)Instructions burned: 62 (million)
1.26/0.53	% (30491)------------------------------
1.26/0.53	% (30491)------------------------------
1.26/0.53	% (30498)Instruction limit reached!
1.26/0.53	% (30498)------------------------------
1.26/0.53	% (30498)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.26/0.53	% (30498)Termination reason: Unknown
1.26/0.53	% (30498)Termination phase: shuffling
1.26/0.53	
1.26/0.53	% (30498)Memory used [KB]: 1023
1.26/0.53	% (30498)Time elapsed: 0.002 s
1.26/0.53	% (30498)Instructions burned: 4 (million)
1.26/0.53	% (30498)------------------------------
1.26/0.53	% (30498)------------------------------
1.40/0.54	% (30508)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=238:si=on:rtra=on_0 on Vampire---4 for (1798ds/238Mi)
1.40/0.54	% (30509)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1798ds/3Mi)
1.40/0.54	% (30509)Instruction limit reached!
1.40/0.54	% (30509)------------------------------
1.40/0.54	% (30509)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.40/0.54	% (30509)Termination reason: Unknown
1.40/0.54	% (30509)Termination phase: shuffling
1.40/0.54	
1.40/0.54	% (30509)Memory used [KB]: 1023
1.40/0.54	% (30509)Time elapsed: 0.003 s
1.40/0.54	% (30509)Instructions burned: 4 (million)
1.40/0.54	% (30509)------------------------------
1.40/0.54	% (30509)------------------------------
1.40/0.55	% (30461)Instruction limit reached!
1.40/0.55	% (30461)------------------------------
1.40/0.55	% (30461)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.40/0.55	% (30461)Termination reason: Unknown
1.40/0.55	% (30461)Termination phase: Saturation
1.40/0.55	
1.40/0.55	% (30461)Memory used [KB]: 7164
1.40/0.55	% (30461)Time elapsed: 0.161 s
1.40/0.55	% (30461)Instructions burned: 385 (million)
1.40/0.55	% (30461)------------------------------
1.40/0.55	% (30461)------------------------------
1.40/0.55	% (30493)Instruction limit reached!
1.40/0.55	% (30493)------------------------------
1.40/0.55	% (30493)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.40/0.55	% (30493)Termination reason: Unknown
1.40/0.55	% (30493)Termination phase: Saturation
1.40/0.55	
1.40/0.55	% (30493)Memory used [KB]: 6140
1.40/0.55	% (30493)Time elapsed: 0.031 s
1.40/0.55	% (30493)Instructions burned: 107 (million)
1.40/0.55	% (30493)------------------------------
1.40/0.55	% (30493)------------------------------
1.40/0.55	% (30519)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (1798ds/4Mi)
1.40/0.55	% (30519)Instruction limit reached!
1.40/0.55	% (30519)------------------------------
1.40/0.55	% (30519)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.40/0.55	% (30519)Termination reason: Unknown
1.40/0.55	% (30519)Termination phase: shuffling
1.40/0.55	
1.40/0.55	% (30519)Memory used [KB]: 1023
1.40/0.55	% (30519)Time elapsed: 0.002 s
1.40/0.55	% (30519)Instructions burned: 4 (million)
1.40/0.55	% (30519)------------------------------
1.40/0.55	% (30519)------------------------------
1.40/0.56	% (30524)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on Vampire---4 for (1798ds/149Mi)
1.40/0.56	% (30526)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on Vampire---4 for (1798ds/150Mi)
1.40/0.56	% (30531)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=199:si=on:rtra=on_0 on Vampire---4 for (1798ds/199Mi)
1.40/0.57	% (30526)Refutation not found, incomplete strategy
1.40/0.57	% (30526)------------------------------
1.40/0.57	% (30526)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.40/0.57	% (30526)Termination reason: Refutation not found, incomplete strategy
1.40/0.57	
1.40/0.57	
1.40/0.57	% (30526)Memory used [KB]: 5756
1.40/0.57	% (30526)Time elapsed: 0.013 s
1.40/0.57	% (30526)Instructions burned: 47 (million)
1.40/0.57	% (30526)------------------------------
1.40/0.57	% (30526)------------------------------
1.40/0.57	% (30488)Instruction limit reached!
1.40/0.57	% (30488)------------------------------
1.40/0.57	% (30488)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.40/0.57	% (30488)Termination reason: Unknown
1.40/0.57	% (30488)Termination phase: Saturation
1.40/0.57	
1.40/0.57	% (30488)Memory used [KB]: 6396
1.40/0.57	% (30488)Time elapsed: 0.057 s
1.40/0.57	% (30488)Instructions burned: 193 (million)
1.40/0.57	% (30488)------------------------------
1.40/0.57	% (30488)------------------------------
1.40/0.58	% (30549)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (1797ds/39Mi)
1.40/0.58	% (30550)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=721:si=on:rtra=on_0 on Vampire---4 for (1797ds/721Mi)
1.40/0.59	% (30549)Instruction limit reached!
1.40/0.59	% (30549)------------------------------
1.40/0.59	% (30549)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.40/0.59	% (30549)Termination reason: Unknown
1.40/0.59	% (30549)Termination phase: Saturation
1.40/0.59	
1.40/0.59	% (30549)Memory used [KB]: 5756
1.40/0.59	% (30549)Time elapsed: 0.011 s
1.40/0.59	% (30549)Instructions burned: 41 (million)
1.40/0.59	% (30549)------------------------------
1.40/0.59	% (30549)------------------------------
1.40/0.60	% (30531)Refutation not found, incomplete strategy
1.40/0.60	% (30531)------------------------------
1.40/0.60	% (30531)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.40/0.60	% (30531)Termination reason: Refutation not found, incomplete strategy
1.40/0.60	
1.40/0.60	
1.40/0.60	% (30531)Memory used [KB]: 5884
1.40/0.60	% (30531)Time elapsed: 0.038 s
1.40/0.60	% (30531)Instructions burned: 119 (million)
1.40/0.60	% (30531)------------------------------
1.40/0.60	% (30531)------------------------------
1.40/0.60	% (30566)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=3:si=on:rtra=on_0 on Vampire---4 for (1797ds/3Mi)
1.40/0.60	% (30566)Instruction limit reached!
1.40/0.60	% (30566)------------------------------
1.40/0.60	% (30566)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.40/0.60	% (30566)Termination reason: Unknown
1.40/0.60	% (30566)Termination phase: shuffling
1.40/0.60	
1.40/0.60	% (30566)Memory used [KB]: 1023
1.40/0.60	% (30566)Time elapsed: 0.002 s
1.40/0.60	% (30566)Instructions burned: 3 (million)
1.40/0.60	% (30566)------------------------------
1.40/0.60	% (30566)------------------------------
1.40/0.61	% (30571)lrs+10_1:1_au=on:c=on:sac=on:slsq=on:slsqc=2:i=218:si=on:rtra=on_0 on Vampire---4 for (1797ds/218Mi)
1.40/0.61	% (30508)Instruction limit reached!
1.40/0.61	% (30508)------------------------------
1.40/0.61	% (30508)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.40/0.61	% (30508)Termination reason: Unknown
1.40/0.61	% (30508)Termination phase: Saturation
1.40/0.61	
1.40/0.61	% (30508)Memory used [KB]: 6012
1.40/0.61	% (30508)Time elapsed: 0.072 s
1.40/0.61	% (30508)Instructions burned: 238 (million)
1.40/0.61	% (30508)------------------------------
1.40/0.61	% (30508)------------------------------
1.40/0.61	% (30524)Instruction limit reached!
1.40/0.61	% (30524)------------------------------
1.40/0.61	% (30524)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.40/0.61	% (30524)Termination reason: Unknown
1.40/0.61	% (30524)Termination phase: Saturation
1.40/0.61	
1.40/0.61	% (30524)Memory used [KB]: 6012
1.40/0.61	% (30524)Time elapsed: 0.080 s
1.40/0.61	% (30524)Instructions burned: 151 (million)
1.40/0.61	% (30524)------------------------------
1.40/0.61	% (30524)------------------------------
1.40/0.61	% (30570)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (1797ds/18Mi)
1.40/0.62	% (30573)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on Vampire---4 for (1797ds/448Mi)
1.40/0.62	% (30574)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (1797ds/6Mi)
1.40/0.62	% (30570)Instruction limit reached!
1.40/0.62	% (30570)------------------------------
1.40/0.62	% (30570)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.40/0.62	% (30570)Termination reason: Unknown
1.40/0.62	% (30570)Termination phase: Saturation
1.40/0.62	
1.40/0.62	% (30570)Memory used [KB]: 5628
1.40/0.62	% (30570)Time elapsed: 0.011 s
1.40/0.62	% (30570)Instructions burned: 19 (million)
1.40/0.62	% (30570)------------------------------
1.40/0.62	% (30570)------------------------------
1.40/0.62	% (30574)Instruction limit reached!
1.40/0.62	% (30574)------------------------------
1.40/0.62	% (30574)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.40/0.62	% (30574)Termination reason: Unknown
1.40/0.62	% (30574)Termination phase: Property scanning
1.40/0.62	
1.40/0.62	% (30574)Memory used [KB]: 1023
1.40/0.62	% (30574)Time elapsed: 0.003 s
1.40/0.62	% (30574)Instructions burned: 7 (million)
1.40/0.62	% (30574)------------------------------
1.40/0.62	% (30574)------------------------------
2.08/0.63	% (30576)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (1797ds/16Mi)
2.08/0.63	% (30573)Refutation not found, incomplete strategy
2.08/0.63	% (30573)------------------------------
2.08/0.63	% (30573)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.08/0.63	% (30573)Termination reason: Refutation not found, incomplete strategy
2.08/0.63	
2.08/0.63	
2.08/0.63	% (30573)Memory used [KB]: 5756
2.08/0.63	% (30573)Time elapsed: 0.014 s
2.08/0.63	% (30573)Instructions burned: 53 (million)
2.08/0.63	% (30573)------------------------------
2.08/0.63	% (30573)------------------------------
2.08/0.64	% (30575)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=9:si=on:rtra=on_0 on Vampire---4 for (1797ds/9Mi)
2.08/0.64	% (30576)Instruction limit reached!
2.08/0.64	% (30576)------------------------------
2.08/0.64	% (30576)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.08/0.64	% (30576)Termination reason: Unknown
2.08/0.64	% (30576)Termination phase: Saturation
2.08/0.64	
2.08/0.64	% (30576)Memory used [KB]: 5628
2.08/0.64	% (30576)Time elapsed: 0.006 s
2.08/0.64	% (30576)Instructions burned: 18 (million)
2.08/0.64	% (30576)------------------------------
2.08/0.64	% (30576)------------------------------
2.08/0.64	% (30575)Instruction limit reached!
2.08/0.64	% (30575)------------------------------
2.08/0.64	% (30575)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.08/0.64	% (30575)Termination reason: Unknown
2.08/0.64	% (30575)Termination phase: Function definition elimination
2.08/0.64	
2.08/0.64	% (30575)Memory used [KB]: 1023
2.08/0.64	% (30575)Time elapsed: 0.006 s
2.08/0.64	% (30575)Instructions burned: 10 (million)
2.08/0.64	% (30575)------------------------------
2.08/0.64	% (30575)------------------------------
2.08/0.64	% (30579)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=40:si=on:rtra=on_0 on Vampire---4 for (1797ds/40Mi)
2.08/0.65	% (30580)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (1797ds/2Mi)
2.08/0.65	% (30580)Instruction limit reached!
2.08/0.65	% (30580)------------------------------
2.08/0.65	% (30580)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.08/0.65	% (30580)Termination reason: Unknown
2.08/0.65	% (30580)Termination phase: shuffling
2.08/0.65	
2.08/0.65	% (30580)Memory used [KB]: 1023
2.08/0.65	% (30580)Time elapsed: 0.002 s
2.08/0.65	% (30580)Instructions burned: 4 (million)
2.08/0.65	% (30580)------------------------------
2.08/0.65	% (30580)------------------------------
2.08/0.65	% (30579)Instruction limit reached!
2.08/0.65	% (30579)------------------------------
2.08/0.65	% (30579)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.08/0.65	% (30579)Termination reason: Unknown
2.08/0.65	% (30579)Termination phase: Saturation
2.08/0.65	
2.08/0.65	% (30579)Memory used [KB]: 5756
2.08/0.65	% (30579)Time elapsed: 0.011 s
2.08/0.65	% (30579)Instructions burned: 42 (million)
2.08/0.65	% (30579)------------------------------
2.08/0.65	% (30579)------------------------------
2.08/0.65	% (30582)lrs+1004_1:1_chr=on:prag=on:i=8:si=on:rtra=on_0 on Vampire---4 for (1797ds/8Mi)
2.08/0.66	% (30581)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on Vampire---4 for (1797ds/98Mi)
2.08/0.66	% (30582)Instruction limit reached!
2.08/0.66	% (30582)------------------------------
2.08/0.66	% (30582)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.08/0.66	% (30582)Termination reason: Unknown
2.08/0.66	% (30582)Termination phase: Property scanning
2.08/0.66	
2.08/0.66	% (30582)Memory used [KB]: 1023
2.08/0.66	% (30582)Time elapsed: 0.003 s
2.08/0.66	% (30582)Instructions burned: 8 (million)
2.08/0.66	% (30582)------------------------------
2.08/0.66	% (30582)------------------------------
2.08/0.66	% (30583)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on Vampire---4 for (1797ds/86Mi)
2.08/0.67	% (30584)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on Vampire---4 for (1797ds/3Mi)
2.08/0.67	% (30584)Instruction limit reached!
2.08/0.67	% (30584)------------------------------
2.08/0.67	% (30584)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.08/0.67	% (30584)Termination reason: Unknown
2.08/0.67	% (30584)Termination phase: shuffling
2.08/0.67	
2.08/0.67	% (30584)Memory used [KB]: 1023
2.08/0.67	% (30584)Time elapsed: 0.002 s
2.08/0.67	% (30584)Instructions burned: 4 (million)
2.08/0.67	% (30584)------------------------------
2.08/0.67	% (30584)------------------------------
2.08/0.67	% (30571)Instruction limit reached!
2.08/0.67	% (30571)------------------------------
2.08/0.67	% (30571)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.08/0.67	% (30571)Termination reason: Unknown
2.08/0.67	% (30571)Termination phase: Saturation
2.08/0.67	
2.08/0.67	% (30571)Memory used [KB]: 6524
2.08/0.67	% (30571)Time elapsed: 0.063 s
2.08/0.67	% (30571)Instructions burned: 221 (million)
2.08/0.67	% (30571)------------------------------
2.08/0.67	% (30571)------------------------------
2.08/0.67	% (30585)lrs+1010_1:1024_au=on:hud=10:ntd=on:ss=included:i=294:si=on:rtra=on_0 on Vampire---4 for (1797ds/294Mi)
2.08/0.68	% (30586)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=274:si=on:rtra=on_0 on Vampire---4 for (1797ds/274Mi)
2.08/0.68	% (30583)Instruction limit reached!
2.08/0.68	% (30583)------------------------------
2.08/0.68	% (30583)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.08/0.68	% (30583)Termination reason: Unknown
2.08/0.68	% (30583)Termination phase: Saturation
2.08/0.68	
2.08/0.68	% (30583)Memory used [KB]: 5884
2.08/0.68	% (30583)Time elapsed: 0.022 s
2.08/0.68	% (30583)Instructions burned: 86 (million)
2.08/0.68	% (30583)------------------------------
2.08/0.68	% (30583)------------------------------
2.08/0.69	% (30581)Instruction limit reached!
2.08/0.69	% (30581)------------------------------
2.08/0.69	% (30581)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.08/0.69	% (30581)Termination reason: Unknown
2.08/0.69	% (30581)Termination phase: Saturation
2.08/0.69	
2.08/0.69	% (30581)Memory used [KB]: 1535
2.08/0.69	% (30581)Time elapsed: 0.036 s
2.46/0.69	% (30581)Instructions burned: 99 (million)
2.46/0.69	% (30581)------------------------------
2.46/0.69	% (30581)------------------------------
2.46/0.69	% (30586)Refutation not found, incomplete strategy
2.46/0.69	% (30586)------------------------------
2.46/0.69	% (30586)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.46/0.69	% (30586)Termination reason: Refutation not found, incomplete strategy
2.46/0.69	
2.46/0.69	
2.46/0.69	% (30586)Memory used [KB]: 5756
2.46/0.69	% (30586)Time elapsed: 0.012 s
2.46/0.69	% (30586)Instructions burned: 46 (million)
2.46/0.69	% (30586)------------------------------
2.46/0.69	% (30586)------------------------------
2.46/0.69	% (30593)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on Vampire---4 for (1796ds/47Mi)
2.46/0.70	% (30597)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (1796ds/37Mi)
2.46/0.70	% (30598)lrs+1002_1:16_av=off:e2e=on:fe=axiom:prag=on:sos=on:ss=axioms:i=3:si=on:rtra=on_0 on Vampire---4 for (1796ds/3Mi)
2.46/0.70	% (30598)Instruction limit reached!
2.46/0.70	% (30598)------------------------------
2.46/0.70	% (30598)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.46/0.70	% (30598)Termination reason: Unknown
2.46/0.70	% (30598)Termination phase: shuffling
2.46/0.70	
2.46/0.70	% (30598)Memory used [KB]: 1023
2.46/0.70	% (30598)Time elapsed: 0.002 s
2.46/0.70	% (30598)Instructions burned: 4 (million)
2.46/0.70	% (30598)------------------------------
2.46/0.70	% (30598)------------------------------
2.46/0.71	% (30597)Instruction limit reached!
2.46/0.71	% (30597)------------------------------
2.46/0.71	% (30597)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.46/0.71	% (30597)Termination reason: Unknown
2.46/0.71	% (30597)Termination phase: Saturation
2.46/0.71	
2.46/0.71	% (30597)Memory used [KB]: 5756
2.46/0.71	% (30597)Time elapsed: 0.010 s
2.46/0.71	% (30597)Instructions burned: 37 (million)
2.46/0.71	% (30597)------------------------------
2.46/0.71	% (30597)------------------------------
2.46/0.71	% (30599)lrs+10_8:1_au=on:e2e=on:hfsq=on:hfsqc=1:ins=3:s2a=on:s2at=3.0:ss=axioms:i=19:si=on:rtra=on_0 on Vampire---4 for (1796ds/19Mi)
2.46/0.71	% (30593)Instruction limit reached!
2.46/0.71	% (30593)------------------------------
2.46/0.71	% (30593)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.46/0.71	% (30593)Termination reason: Unknown
2.46/0.71	% (30593)Termination phase: Saturation
2.46/0.71	
2.46/0.71	% (30593)Memory used [KB]: 5756
2.46/0.71	% (30593)Time elapsed: 0.021 s
2.46/0.71	% (30593)Instructions burned: 48 (million)
2.46/0.71	% (30593)------------------------------
2.46/0.71	% (30593)------------------------------
2.46/0.71	% (30599)Instruction limit reached!
2.46/0.71	% (30599)------------------------------
2.46/0.71	% (30599)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.46/0.71	% (30599)Termination reason: Unknown
2.46/0.71	% (30599)Termination phase: Saturation
2.46/0.71	
2.46/0.71	% (30599)Memory used [KB]: 5628
2.46/0.71	% (30599)Time elapsed: 0.006 s
2.46/0.71	% (30599)Instructions burned: 20 (million)
2.46/0.71	% (30599)------------------------------
2.46/0.71	% (30599)------------------------------
2.46/0.72	% (30600)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:i=5:si=on:rtra=on_0 on Vampire---4 for (1796ds/5Mi)
2.46/0.72	% (30600)Instruction limit reached!
2.46/0.72	% (30600)------------------------------
2.46/0.72	% (30600)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.46/0.72	% (30600)Termination reason: Unknown
2.46/0.72	% (30600)Termination phase: Property scanning
2.46/0.72	
2.46/0.72	% (30600)Memory used [KB]: 1023
2.46/0.72	% (30600)Time elapsed: 0.003 s
2.46/0.72	% (30600)Instructions burned: 8 (million)
2.46/0.72	% (30600)------------------------------
2.46/0.72	% (30600)------------------------------
2.46/0.72	% (30602)ott+21_1:3_bd=off:cnfonf=lazy_gen:fe=off:hfsq=on:hfsqc=3:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=450:si=on:rtra=on_0 on Vampire---4 for (1796ds/450Mi)
2.46/0.73	% (30601)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=44:si=on:rtra=on_0 on Vampire---4 for (1796ds/44Mi)
2.46/0.73	% (30603)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=102:si=on:rtra=on_0 on Vampire---4 for (1796ds/102Mi)
2.46/0.74	% (30601)Instruction limit reached!
2.46/0.74	% (30601)------------------------------
2.46/0.74	% (30601)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.46/0.74	% (30601)Termination reason: Unknown
2.46/0.74	% (30601)Termination phase: Saturation
2.46/0.74	
2.46/0.74	% (30601)Memory used [KB]: 10234
2.46/0.74	% (30601)Time elapsed: 0.019 s
2.46/0.74	% (30601)Instructions burned: 44 (million)
2.46/0.74	% (30601)------------------------------
2.46/0.74	% (30601)------------------------------
2.46/0.75	% (30468)Instruction limit reached!
2.46/0.75	% (30468)------------------------------
2.46/0.75	% (30468)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.46/0.75	% (30468)Termination reason: Unknown
2.46/0.75	% (30468)Termination phase: Saturation
2.46/0.75	
2.46/0.75	% (30468)Memory used [KB]: 9594
2.46/0.75	% (30468)Time elapsed: 0.339 s
2.46/0.75	% (30468)Instructions burned: 1022 (million)
2.46/0.75	% (30468)------------------------------
2.46/0.75	% (30468)------------------------------
2.46/0.75	% (30603)Instruction limit reached!
2.46/0.75	% (30603)------------------------------
2.46/0.75	% (30603)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.46/0.75	% (30603)Termination reason: Unknown
2.46/0.75	% (30603)Termination phase: Saturation
2.46/0.75	
2.46/0.75	% (30603)Memory used [KB]: 6012
2.46/0.75	% (30603)Time elapsed: 0.028 s
2.46/0.75	% (30603)Instructions burned: 103 (million)
2.46/0.75	% (30603)------------------------------
2.46/0.75	% (30603)------------------------------
2.46/0.76	% (30608)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on Vampire---4 for (1796ds/134Mi)
2.46/0.76	% (30613)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on Vampire---4 for (1796ds/204Mi)
2.89/0.76	% (30614)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on Vampire---4 for (1796ds/154Mi)
2.89/0.76	% (30585)Instruction limit reached!
2.89/0.76	% (30585)------------------------------
2.89/0.76	% (30585)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.89/0.76	% (30585)Termination reason: Unknown
2.89/0.76	% (30585)Termination phase: Saturation
2.89/0.76	
2.89/0.76	% (30585)Memory used [KB]: 6780
2.89/0.76	% (30585)Time elapsed: 0.088 s
2.89/0.76	% (30585)Instructions burned: 296 (million)
2.89/0.76	% (30585)------------------------------
2.89/0.76	% (30585)------------------------------
2.99/0.77	% (30615)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=424:si=on:rtra=on_0 on Vampire---4 for (1796ds/424Mi)
2.99/0.77	% (30615)Refutation not found, incomplete strategy
2.99/0.77	% (30615)------------------------------
2.99/0.77	% (30615)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.99/0.77	% (30615)Termination reason: Refutation not found, incomplete strategy
2.99/0.77	
2.99/0.77	
2.99/0.77	% (30615)Memory used [KB]: 5628
2.99/0.77	% (30615)Time elapsed: 0.004 s
2.99/0.77	% (30615)Instructions burned: 10 (million)
2.99/0.77	% (30615)------------------------------
2.99/0.77	% (30615)------------------------------
2.99/0.78	% (30616)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on Vampire---4 for (1796ds/41Mi)
2.99/0.78	% (30471)Instruction limit reached!
2.99/0.78	% (30471)------------------------------
2.99/0.78	% (30471)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.99/0.78	% (30471)Termination reason: Unknown
2.99/0.78	% (30471)Termination phase: Saturation
2.99/0.78	
2.99/0.78	% (30471)Memory used [KB]: 10234
2.99/0.78	% (30471)Time elapsed: 0.351 s
2.99/0.78	% (30471)Instructions burned: 1045 (million)
2.99/0.78	% (30471)------------------------------
2.99/0.78	% (30471)------------------------------
2.99/0.79	% (30476)Instruction limit reached!
2.99/0.79	% (30476)------------------------------
2.99/0.79	% (30476)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.99/0.79	% (30476)Termination reason: Unknown
2.99/0.79	% (30476)Termination phase: Saturation
2.99/0.79	
2.99/0.79	% (30476)Memory used [KB]: 7547
2.99/0.79	% (30476)Time elapsed: 0.331 s
2.99/0.79	% (30476)Instructions burned: 1043 (million)
2.99/0.79	% (30476)------------------------------
2.99/0.79	% (30476)------------------------------
2.99/0.79	% (30617)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on Vampire---4 for (1795ds/231Mi)
2.99/0.79	% (30616)Instruction limit reached!
2.99/0.79	% (30616)------------------------------
2.99/0.79	% (30616)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.99/0.79	% (30616)Termination reason: Unknown
2.99/0.79	% (30616)Termination phase: Saturation
2.99/0.79	
2.99/0.79	% (30616)Memory used [KB]: 5756
2.99/0.79	% (30616)Time elapsed: 0.011 s
2.99/0.79	% (30616)Instructions burned: 42 (million)
2.99/0.79	% (30616)------------------------------
2.99/0.79	% (30616)------------------------------
2.99/0.80	% (30618)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on Vampire---4 for (1795ds/70Mi)
2.99/0.80	% (30550)Instruction limit reached!
2.99/0.80	% (30550)------------------------------
2.99/0.80	% (30550)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.99/0.80	% (30550)Termination reason: Unknown
2.99/0.80	% (30550)Termination phase: Saturation
2.99/0.80	
2.99/0.80	% (30550)Memory used [KB]: 8571
2.99/0.80	% (30550)Time elapsed: 0.219 s
2.99/0.80	% (30550)Instructions burned: 723 (million)
2.99/0.80	% (30550)------------------------------
2.99/0.80	% (30550)------------------------------
2.99/0.80	% (30619)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=297:si=on:rtra=on_0 on Vampire---4 for (1795ds/297Mi)
3.30/0.80	% (30614)Instruction limit reached!
3.30/0.80	% (30614)------------------------------
3.30/0.80	% (30614)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
3.30/0.80	% (30614)Termination reason: Unknown
3.30/0.80	% (30614)Termination phase: Saturation
3.30/0.80	
3.30/0.80	% (30614)Memory used [KB]: 6140
3.30/0.80	% (30614)Time elapsed: 0.044 s
3.30/0.80	% (30614)Instructions burned: 155 (million)
3.30/0.80	% (30614)------------------------------
3.30/0.80	% (30614)------------------------------
3.30/0.81	% (30620)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on Vampire---4 for (1795ds/182Mi)
3.30/0.81	% (30621)lrs+1010_1:1024_au=on:fe=axiom:lwlo=on:nm=0:ntd=on:nwc=10.0:spb=non_intro:uhcvi=on:i=130:si=on:rtra=on_0 on Vampire---4 for (1795ds/130Mi)
3.30/0.81	% (30613)Instruction limit reached!
3.30/0.81	% (30613)------------------------------
3.30/0.81	% (30613)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
3.30/0.81	% (30613)Termination reason: Unknown
3.30/0.81	% (30613)Termination phase: Saturation
3.30/0.81	
3.30/0.81	% (30613)Memory used [KB]: 6396
3.30/0.81	% (30613)Time elapsed: 0.057 s
3.30/0.81	% (30613)Instructions burned: 204 (million)
3.30/0.81	% (30613)------------------------------
3.30/0.81	% (30613)------------------------------
3.30/0.82	% (30608)Instruction limit reached!
3.30/0.82	% (30608)------------------------------
3.30/0.82	% (30608)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
3.30/0.82	% (30608)Termination reason: Unknown
3.30/0.82	% (30608)Termination phase: Saturation
3.30/0.82	
3.30/0.82	% (30608)Memory used [KB]: 6140
3.30/0.82	% (30608)Time elapsed: 0.062 s
3.30/0.82	% (30608)Instructions burned: 134 (million)
3.30/0.82	% (30608)------------------------------
3.30/0.82	% (30608)------------------------------
3.30/0.82	% (30618)Instruction limit reached!
3.30/0.82	% (30618)------------------------------
3.30/0.82	% (30618)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
3.30/0.82	% (30618)Termination reason: Unknown
3.30/0.82	% (30618)Termination phase: Saturation
3.30/0.82	
3.30/0.82	% (30618)Memory used [KB]: 1279
3.30/0.82	% (30618)Time elapsed: 0.020 s
3.30/0.82	% (30618)Instructions burned: 72 (million)
3.30/0.82	% (30618)------------------------------
3.30/0.82	% (30618)------------------------------
3.30/0.82	% (30622)lrs+21_1:16_au=on:cbe=off:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=7,4:i=570:si=on:rtra=on_0 on Vampire---4 for (1795ds/570Mi)
3.30/0.83	% (30624)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=190:si=on:rtra=on_0 on Vampire---4 for (1795ds/190Mi)
3.30/0.83	% (30623)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on Vampire---4 for (1795ds/297Mi)
3.53/0.84	% (30621)Instruction limit reached!
3.53/0.84	% (30621)------------------------------
3.53/0.84	% (30621)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
3.53/0.84	% (30621)Termination reason: Unknown
3.53/0.84	% (30621)Termination phase: Saturation
3.53/0.84	
3.53/0.84	% (30621)Memory used [KB]: 6140
3.53/0.84	% (30621)Time elapsed: 0.033 s
3.53/0.84	% (30621)Instructions burned: 130 (million)
3.53/0.84	% (30621)------------------------------
3.53/0.84	% (30621)------------------------------
3.53/0.85	% (30602)Instruction limit reached!
3.53/0.85	% (30602)------------------------------
3.53/0.85	% (30602)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
3.53/0.85	% (30602)Termination reason: Unknown
3.53/0.85	% (30602)Termination phase: Saturation
3.53/0.85	
3.53/0.85	% (30602)Memory used [KB]: 7036
3.53/0.85	% (30602)Time elapsed: 0.130 s
3.53/0.85	% (30602)Instructions burned: 453 (million)
3.53/0.85	% (30602)------------------------------
3.53/0.85	% (30602)------------------------------
3.53/0.85	% (30623)Refutation not found, incomplete strategy
3.53/0.85	% (30623)------------------------------
3.53/0.85	% (30623)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
3.53/0.85	% (30623)Termination reason: Refutation not found, incomplete strategy
3.53/0.85	
3.53/0.85	
3.53/0.85	% (30623)Memory used [KB]: 5884
3.53/0.85	% (30623)Time elapsed: 0.024 s
3.53/0.85	% (30623)Instructions burned: 58 (million)
3.53/0.85	% (30623)------------------------------
3.53/0.85	% (30623)------------------------------
3.53/0.85	% (30625)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on Vampire---4 for (1795ds/96Mi)
3.53/0.86	% (30620)Instruction limit reached!
3.53/0.86	% (30620)------------------------------
3.53/0.86	% (30620)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
3.53/0.86	% (30620)Termination reason: Unknown
3.53/0.86	% (30620)Termination phase: Saturation
3.53/0.86	
3.53/0.86	% (30620)Memory used [KB]: 6396
3.53/0.86	% (30620)Time elapsed: 0.048 s
3.53/0.86	% (30620)Instructions burned: 183 (million)
3.53/0.86	% (30620)------------------------------
3.53/0.86	% (30620)------------------------------
3.53/0.86	% (30626)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on Vampire---4 for (1795ds/182Mi)
3.53/0.86	% (30628)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=390:si=on:rtra=on_0 on Vampire---4 for (1795ds/390Mi)
3.53/0.87	% (30627)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on Vampire---4 for (1795ds/368Mi)
3.53/0.87	% (30617)Instruction limit reached!
3.53/0.87	% (30617)------------------------------
3.53/0.87	% (30617)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
3.53/0.87	% (30617)Termination reason: Unknown
3.53/0.87	% (30617)Termination phase: Saturation
3.53/0.87	
3.53/0.87	% (30617)Memory used [KB]: 6780
3.53/0.87	% (30617)Time elapsed: 0.077 s
3.53/0.87	% (30617)Instructions burned: 232 (million)
3.53/0.87	% (30617)------------------------------
3.53/0.87	% (30617)------------------------------
3.53/0.88	% (30629)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on Vampire---4 for (1795ds/192Mi)
3.53/0.88	% (30625)Instruction limit reached!
3.53/0.88	% (30625)------------------------------
3.53/0.88	% (30625)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
3.53/0.88	% (30625)Termination reason: Unknown
3.53/0.88	% (30625)Termination phase: Saturation
3.53/0.88	
3.53/0.88	% (30625)Memory used [KB]: 6140
3.53/0.88	% (30625)Time elapsed: 0.028 s
3.53/0.88	% (30625)Instructions burned: 98 (million)
3.53/0.88	% (30625)------------------------------
3.53/0.88	% (30625)------------------------------
3.53/0.88	% (30619)Instruction limit reached!
3.53/0.88	% (30619)------------------------------
3.53/0.88	% (30619)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
3.53/0.88	% (30619)Termination reason: Unknown
3.53/0.88	% (30619)Termination phase: Saturation
3.53/0.88	
3.53/0.88	% (30619)Memory used [KB]: 6780
3.53/0.88	% (30619)Time elapsed: 0.080 s
3.53/0.88	% (30619)Instructions burned: 297 (million)
3.53/0.88	% (30619)------------------------------
3.53/0.88	% (30619)------------------------------
3.53/0.89	% (30624)Instruction limit reached!
3.53/0.89	% (30624)------------------------------
3.53/0.89	% (30624)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
3.53/0.89	% (30624)Termination reason: Unknown
3.53/0.89	% (30624)Termination phase: Saturation
3.53/0.89	
3.53/0.89	% (30624)Memory used [KB]: 6140
3.53/0.89	% (30624)Time elapsed: 0.062 s
3.53/0.89	% (30624)Instructions burned: 192 (million)
3.53/0.89	% (30624)------------------------------
3.53/0.89	% (30624)------------------------------
3.53/0.89	% (30630)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=279:si=on:rtra=on_0 on Vampire---4 for (1795ds/279Mi)
3.53/0.89	% (30631)lrs+1010_1:1024_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:ixr=off:i=25:si=on:rtra=on_0 on Vampire---4 for (1795ds/25Mi)
3.53/0.89	% (30631)Instruction limit reached!
3.53/0.89	% (30631)------------------------------
3.53/0.89	% (30631)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
3.53/0.89	% (30631)Termination reason: Unknown
3.53/0.89	% (30631)Termination phase: Saturation
3.53/0.89	
3.53/0.89	% (30631)Memory used [KB]: 5628
3.53/0.89	% (30631)Time elapsed: 0.007 s
3.53/0.89	% (30631)Instructions burned: 26 (million)
3.53/0.89	% (30631)------------------------------
3.53/0.89	% (30631)------------------------------
3.53/0.89	% (30632)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=940:si=on:rtra=on_0 on Vampire---4 for (1794ds/940Mi)
3.53/0.90	% (30633)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=422:si=on:rtra=on_0 on Vampire---4 for (1794ds/422Mi)
3.53/0.90	% (30633)Refutation not found, incomplete strategy
3.53/0.90	% (30633)------------------------------
3.53/0.90	% (30633)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
3.53/0.90	% (30633)Termination reason: Refutation not found, incomplete strategy
3.53/0.90	
3.53/0.90	
3.53/0.90	% (30633)Memory used [KB]: 5628
3.53/0.90	% (30633)Time elapsed: 0.004 s
3.53/0.90	% (30633)Instructions burned: 11 (million)
3.53/0.90	% (30633)------------------------------
3.53/0.90	% (30633)------------------------------
3.53/0.91	% (30634)lrs+10_1:1_cnfonf=lazy_gen:hud=7:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=103:si=on:rtra=on_0 on Vampire---4 for (1794ds/103Mi)
3.53/0.91	% (30626)Instruction limit reached!
3.53/0.91	% (30626)------------------------------
3.53/0.91	% (30626)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
3.53/0.91	% (30626)Termination reason: Unknown
3.53/0.91	% (30626)Termination phase: Saturation
3.53/0.91	
3.53/0.91	% (30626)Memory used [KB]: 6012
3.53/0.91	% (30626)Time elapsed: 0.056 s
3.53/0.91	% (30626)Instructions burned: 182 (million)
3.53/0.91	% (30626)------------------------------
3.53/0.91	% (30626)------------------------------
3.53/0.92	% (30635)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on Vampire---4 for (1794ds/182Mi)
3.53/0.92	% (30629)Instruction limit reached!
3.53/0.92	% (30629)------------------------------
3.53/0.92	% (30629)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
3.53/0.92	% (30629)Termination reason: Unknown
3.53/0.92	% (30629)Termination phase: Saturation
3.53/0.92	
3.53/0.92	% (30629)Memory used [KB]: 6396
3.53/0.92	% (30629)Time elapsed: 0.050 s
3.53/0.92	% (30629)Instructions burned: 192 (million)
3.53/0.92	% (30629)------------------------------
3.53/0.92	% (30629)------------------------------
4.22/0.93	% (30636)lrs+10_1:5_av=off:bd=off:fd=off:kws=precedence:nwc=3.0:prag=on:rawr=on:sos=all:sp=reverse_frequency:i=230:si=on:rtra=on_0 on Vampire---4 for (1794ds/230Mi)
4.22/0.94	% (30634)Instruction limit reached!
4.22/0.94	% (30634)------------------------------
4.22/0.94	% (30634)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
4.22/0.94	% (30634)Termination reason: Unknown
4.22/0.94	% (30634)Termination phase: Saturation
4.22/0.94	
4.22/0.94	% (30634)Memory used [KB]: 5884
4.22/0.94	% (30634)Time elapsed: 0.026 s
4.22/0.94	% (30634)Instructions burned: 106 (million)
4.22/0.94	% (30634)------------------------------
4.22/0.94	% (30634)------------------------------
4.22/0.94	% (30637)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on Vampire---4 for (1794ds/83Mi)
4.22/0.95	% (30628)Instruction limit reached!
4.22/0.95	% (30628)------------------------------
4.22/0.95	% (30628)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
4.22/0.95	% (30628)Termination reason: Unknown
4.22/0.95	% (30628)Termination phase: Saturation
4.22/0.95	
4.22/0.95	% (30628)Memory used [KB]: 6524
4.22/0.95	% (30628)Time elapsed: 0.088 s
4.22/0.95	% (30628)Instructions burned: 392 (million)
4.22/0.95	% (30628)------------------------------
4.22/0.95	% (30628)------------------------------
4.22/0.95	% (30637)Refutation not found, incomplete strategy
4.22/0.95	% (30637)------------------------------
4.22/0.95	% (30637)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
4.22/0.95	% (30637)Termination reason: Refutation not found, incomplete strategy
4.22/0.95	
4.22/0.95	
4.22/0.95	% (30637)Memory used [KB]: 5756
4.22/0.95	% (30637)Time elapsed: 0.012 s
4.22/0.95	% (30637)Instructions burned: 48 (million)
4.22/0.95	% (30637)------------------------------
4.22/0.95	% (30637)------------------------------
4.22/0.96	% (30638)lrs+1002_1:1_anc=all:cbe=off:cnfonf=lazy_not_gen_be_off:fe=off:hud=5:nwc=10.0:plsq=on:plsqr=32,1:prag=on:sp=unary_first:i=202:si=on:rtra=on_0 on Vampire---4 for (1794ds/202Mi)
4.22/0.96	% (30639)lrs+1010_1:1_cbe=off:cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=148:si=on:rtra=on_0 on Vampire---4 for (1794ds/148Mi)
4.22/0.97	% (30635)Instruction limit reached!
4.22/0.97	% (30635)------------------------------
4.22/0.97	% (30635)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
4.22/0.97	% (30635)Termination reason: Unknown
4.22/0.97	% (30635)Termination phase: Saturation
4.22/0.97	
4.22/0.97	% (30635)Memory used [KB]: 6140
4.22/0.97	% (30635)Time elapsed: 0.048 s
4.22/0.97	% (30635)Instructions burned: 182 (million)
4.22/0.97	% (30635)------------------------------
4.22/0.97	% (30635)------------------------------
4.22/0.97	% (30630)Instruction limit reached!
4.22/0.97	% (30630)------------------------------
4.22/0.97	% (30630)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
4.22/0.97	% (30630)Termination reason: Unknown
4.22/0.97	% (30630)Termination phase: Saturation
4.22/0.97	
4.22/0.97	% (30630)Memory used [KB]: 6268
4.22/0.97	% (30630)Time elapsed: 0.089 s
4.22/0.97	% (30630)Instructions burned: 279 (million)
4.22/0.97	% (30630)------------------------------
4.22/0.97	% (30630)------------------------------
4.22/0.98	% (30640)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on Vampire---4 for (1794ds/104Mi)
4.22/0.98	% (30622)Instruction limit reached!
4.22/0.98	% (30622)------------------------------
4.22/0.98	% (30622)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
4.22/0.98	% (30622)Termination reason: Unknown
4.22/0.98	% (30622)Termination phase: Saturation
4.22/0.98	
4.22/0.98	% (30622)Memory used [KB]: 6908
4.22/0.98	% (30622)Time elapsed: 0.159 s
4.22/0.98	% (30622)Instructions burned: 571 (million)
4.22/0.98	% (30622)------------------------------
4.22/0.98	% (30622)------------------------------
4.22/0.98	% (30641)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (1793ds/6Mi)
4.22/0.98	% (30641)Instruction limit reached!
4.22/0.98	% (30641)------------------------------
4.22/0.98	% (30641)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
4.22/0.98	% (30641)Termination reason: Unknown
4.22/0.98	% (30641)Termination phase: Property scanning
4.22/0.98	
4.22/0.98	% (30641)Memory used [KB]: 1023
4.22/0.98	% (30641)Time elapsed: 0.003 s
4.22/0.98	% (30641)Instructions burned: 8 (million)
4.22/0.98	% (30641)------------------------------
4.22/0.98	% (30641)------------------------------
4.22/0.99	% (30642)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1200:si=on:rtra=on_0 on Vampire---4 for (1793ds/1200Mi)
4.68/0.99	% (30643)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on Vampire---4 for (1793ds/90Mi)
4.68/0.99	% (30636)Instruction limit reached!
4.68/0.99	% (30636)------------------------------
4.68/0.99	% (30636)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
4.68/0.99	% (30636)Termination reason: Unknown
4.68/0.99	% (30636)Termination phase: Saturation
4.68/0.99	
4.68/0.99	% (30636)Memory used [KB]: 2046
4.68/0.99	% (30636)Time elapsed: 0.061 s
4.68/0.99	% (30636)Instructions burned: 232 (million)
4.68/0.99	% (30636)------------------------------
4.68/0.99	% (30636)------------------------------
4.68/1.00	% (30644)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on Vampire---4 for (1793ds/164Mi)
4.68/1.00	% (30639)Instruction limit reached!
4.68/1.00	% (30639)------------------------------
4.68/1.00	% (30639)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
4.68/1.00	% (30639)Termination reason: Unknown
4.68/1.00	% (30639)Termination phase: Saturation
4.68/1.00	
4.68/1.00	% (30639)Memory used [KB]: 6140
4.68/1.00	% (30639)Time elapsed: 0.038 s
4.68/1.00	% (30639)Instructions burned: 149 (million)
4.68/1.00	% (30639)------------------------------
4.68/1.00	% (30639)------------------------------
4.68/1.00	% (30640)Instruction limit reached!
4.68/1.00	% (30640)------------------------------
4.68/1.00	% (30640)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
4.68/1.00	% (30640)Termination reason: Unknown
4.68/1.00	% (30640)Termination phase: Saturation
4.68/1.00	
4.68/1.00	% (30640)Memory used [KB]: 6012
4.68/1.00	% (30640)Time elapsed: 0.026 s
4.68/1.00	% (30640)Instructions burned: 106 (million)
4.68/1.00	% (30640)------------------------------
4.68/1.00	% (30640)------------------------------
4.68/1.01	% (30645)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=392:si=on:rtra=on_0 on Vampire---4 for (1793ds/392Mi)
4.68/1.01	% (30638)Instruction limit reached!
4.68/1.01	% (30638)------------------------------
4.68/1.01	% (30638)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
4.68/1.01	% (30638)Termination reason: Unknown
4.68/1.01	% (30638)Termination phase: Saturation
4.68/1.01	
4.68/1.01	% (30638)Memory used [KB]: 6140
4.68/1.01	% (30638)Time elapsed: 0.051 s
4.68/1.01	% (30638)Instructions burned: 202 (million)
4.68/1.01	% (30638)------------------------------
4.68/1.01	% (30638)------------------------------
4.68/1.01	% (30646)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on Vampire---4 for (1793ds/279Mi)
4.68/1.01	% (30644)Refutation not found, incomplete strategy
4.68/1.01	% (30644)------------------------------
4.68/1.01	% (30644)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
4.68/1.01	% (30644)Termination reason: Refutation not found, incomplete strategy
4.68/1.01	
4.68/1.01	
4.68/1.01	% (30644)Memory used [KB]: 1407
4.68/1.01	% (30644)Time elapsed: 0.014 s
4.68/1.01	% (30644)Instructions burned: 57 (million)
4.68/1.01	% (30644)------------------------------
4.68/1.01	% (30644)------------------------------
4.68/1.02	% (30647)lrs+1010_1:128_au=on:av=off:bd=preordered:bs=on:chr=on:cnfonf=lazy_not_gen:ntd=on:piset=and:i=59:si=on:rtra=on_0 on Vampire---4 for (1793ds/59Mi)
4.68/1.02	% (30648)lrs+10_1:1_au=on:sd=1:sgt=32:sos=on:ss=axioms:i=141:si=on:rtra=on_0 on Vampire---4 for (1793ds/141Mi)
4.68/1.02	% (30643)Instruction limit reached!
4.68/1.02	% (30643)------------------------------
4.68/1.02	% (30643)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
4.68/1.02	% (30643)Termination reason: Unknown
4.68/1.02	% (30643)Termination phase: Saturation
4.68/1.02	
4.68/1.02	% (30643)Memory used [KB]: 6012
4.68/1.02	% (30643)Time elapsed: 0.031 s
4.68/1.02	% (30643)Instructions burned: 92 (million)
4.68/1.02	% (30643)------------------------------
4.68/1.02	% (30643)------------------------------
4.68/1.02	% (30627)Instruction limit reached!
4.68/1.02	% (30627)------------------------------
4.68/1.02	% (30627)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
4.68/1.02	% (30627)Termination reason: Unknown
4.68/1.02	% (30627)Termination phase: Saturation
4.68/1.02	
4.68/1.02	% (30627)Memory used [KB]: 7036
4.68/1.02	% (30627)Time elapsed: 0.160 s
4.68/1.02	% (30627)Instructions burned: 368 (million)
4.68/1.02	% (30627)------------------------------
4.68/1.02	% (30627)------------------------------
4.68/1.03	% (30647)Instruction limit reached!
4.68/1.03	% (30647)------------------------------
4.68/1.03	% (30647)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
4.68/1.03	% (30647)Termination reason: Unknown
4.68/1.03	% (30647)Termination phase: Saturation
4.68/1.03	
4.68/1.03	% (30647)Memory used [KB]: 1279
4.68/1.03	% (30647)Time elapsed: 0.014 s
4.68/1.03	% (30647)Instructions burned: 60 (million)
4.68/1.03	% (30647)------------------------------
4.68/1.03	% (30647)------------------------------
4.68/1.03	% (30649)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=389:si=on:rtra=on_0 on Vampire---4 for (1793ds/389Mi)
4.68/1.04	% (30651)ott+1010_1:20_cnfonf=lazy_pi_sigma_gen:fe=axiom:plsq=on:plsqc=2:plsqr=32,1:sac=on:sos=all:i=4759:si=on:rtra=on_0 on Vampire---4 for (1793ds/4759Mi)
4.68/1.04	% (30650)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on Vampire---4 for (1793ds/593Mi)
4.68/1.06	% (30648)Instruction limit reached!
4.68/1.06	% (30648)------------------------------
4.68/1.06	% (30648)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
4.68/1.06	% (30648)Termination reason: Unknown
4.68/1.06	% (30648)Termination phase: Saturation
4.68/1.06	
4.68/1.06	% (30648)Memory used [KB]: 6268
4.68/1.06	% (30648)Time elapsed: 0.036 s
4.68/1.06	% (30648)Instructions burned: 142 (million)
4.68/1.06	% (30648)------------------------------
4.68/1.06	% (30648)------------------------------
5.17/1.06	% (30652)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on Vampire---4 for (1793ds/906Mi)
5.71/1.09	% (30646)Instruction limit reached!
5.71/1.09	% (30646)------------------------------
5.71/1.09	% (30646)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
5.71/1.09	% (30646)Termination reason: Unknown
5.71/1.09	% (30646)Termination phase: Saturation
5.71/1.09	
5.71/1.09	% (30646)Memory used [KB]: 6268
5.71/1.09	% (30646)Time elapsed: 0.080 s
5.71/1.09	% (30646)Instructions burned: 279 (million)
5.71/1.09	% (30646)------------------------------
5.71/1.09	% (30646)------------------------------
5.71/1.10	% (30654)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on Vampire---4 for (1792ds/668Mi)
6.00/1.11	% (30645)Instruction limit reached!
6.00/1.11	% (30645)------------------------------
6.00/1.11	% (30645)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
6.00/1.11	% (30645)Termination reason: Unknown
6.00/1.11	% (30645)Termination phase: Saturation
6.00/1.11	
6.00/1.11	% (30645)Memory used [KB]: 6780
6.00/1.11	% (30645)Time elapsed: 0.108 s
6.00/1.11	% (30645)Instructions burned: 392 (million)
6.00/1.11	% (30645)------------------------------
6.00/1.11	% (30645)------------------------------
6.00/1.12	% (30658)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on Vampire---4 for (1792ds/1670Mi)
6.00/1.13	% (30649)Instruction limit reached!
6.00/1.13	% (30649)------------------------------
6.00/1.13	% (30649)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
6.00/1.13	% (30649)Termination reason: Unknown
6.00/1.13	% (30649)Termination phase: Saturation
6.00/1.13	
6.00/1.13	% (30649)Memory used [KB]: 7291
6.00/1.13	% (30649)Time elapsed: 0.107 s
6.00/1.13	% (30649)Instructions burned: 390 (million)
6.00/1.13	% (30649)------------------------------
6.00/1.13	% (30649)------------------------------
6.00/1.14	% (30663)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on Vampire---4 for (1792ds/794Mi)
6.18/1.15	% (30663)Refutation not found, incomplete strategy
6.18/1.15	% (30663)------------------------------
6.18/1.15	% (30663)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
6.18/1.15	% (30663)Termination reason: Refutation not found, incomplete strategy
6.18/1.15	
6.18/1.15	
6.18/1.15	% (30663)Memory used [KB]: 1407
6.18/1.15	% (30663)Time elapsed: 0.013 s
6.18/1.15	% (30663)Instructions burned: 51 (million)
6.18/1.15	% (30663)------------------------------
6.18/1.15	% (30663)------------------------------
6.18/1.16	% (30632)Instruction limit reached!
6.18/1.16	% (30632)------------------------------
6.18/1.16	% (30632)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
6.18/1.16	% (30632)Termination reason: Unknown
6.18/1.16	% (30632)Termination phase: Saturation
6.18/1.16	
6.18/1.16	% (30632)Memory used [KB]: 7036
6.18/1.16	% (30632)Time elapsed: 0.269 s
6.18/1.16	% (30632)Instructions burned: 941 (million)
6.18/1.16	% (30632)------------------------------
6.18/1.16	% (30632)------------------------------
6.18/1.16	% (30673)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on Vampire---4 for (1792ds/294Mi)
6.18/1.16	% (30651)First to succeed.
6.18/1.17	% (30677)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=970:si=on:rtra=on_0 on Vampire---4 for (1792ds/970Mi)
6.18/1.19	% (30651)Refutation found. Thanks to Tanya!
6.18/1.19	% SZS status Theorem for Vampire---4
6.18/1.19	% SZS output start Proof for Vampire---4
6.18/1.19	thf(type_def_5, type, mworld: $tType).
6.18/1.19	thf(func_def_0, type, mworld: $tType).
6.18/1.19	thf(func_def_1, type, mrel: mworld > mworld > $o).
6.18/1.19	thf(func_def_2, type, mactual: mworld).
6.18/1.19	thf(func_def_3, type, mlocal: (mworld > $o) > $o).
6.18/1.19	thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
6.18/1.19	thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
6.18/1.19	thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
6.18/1.19	thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
6.18/1.19	thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
6.18/1.19	thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
6.18/1.19	thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
6.18/1.19	thf(func_def_12, type, eiw_di: $i > mworld > $o).
6.18/1.19	thf(func_def_13, type, mforall_di: ($i > mworld > $o) > mworld > $o).
6.18/1.19	thf(func_def_14, type, mexists_di: ($i > mworld > $o) > mworld > $o).
6.18/1.19	thf(func_def_15, type, chevy: $i > mworld > $o).
6.18/1.19	thf(func_def_16, type, dirty: $i > mworld > $o).
6.18/1.19	thf(func_def_17, type, barrel: $i > $i > mworld > $o).
6.18/1.19	thf(func_def_18, type, hollywood: $i > mworld > $o).
6.18/1.19	thf(func_def_19, type, city: $i > mworld > $o).
6.18/1.19	thf(func_def_20, type, in: $i > $i > mworld > $o).
6.18/1.19	thf(func_def_21, type, old: $i > mworld > $o).
6.18/1.19	thf(func_def_22, type, down: $i > $i > mworld > $o).
6.18/1.19	thf(func_def_23, type, way: $i > mworld > $o).
6.18/1.19	thf(func_def_24, type, white: $i > mworld > $o).
6.18/1.19	thf(func_def_25, type, car: $i > mworld > $o).
6.18/1.19	thf(func_def_26, type, street: $i > mworld > $o).
6.18/1.19	thf(func_def_27, type, event: $i > mworld > $o).
6.18/1.19	thf(func_def_28, type, lonely: $i > mworld > $o).
6.18/1.19	thf(func_def_43, type, diff: !>[X0: $tType, X1: $tType]:((X0 > X1) > (X0 > X1) > X0)).
6.18/1.19	thf(func_def_45, type, ph1: !>[X0: $tType]:(X0)).
6.18/1.19	thf(func_def_48, type, sK2: mworld).
6.18/1.19	thf(func_def_53, type, sK7: $i > $i > mworld).
6.18/1.19	thf(func_def_54, type, sK8: $i > mworld).
6.18/1.19	thf(func_def_55, type, sK9: $i > mworld).
6.18/1.19	thf(func_def_56, type, sK10: mworld).
6.18/1.19	thf(func_def_61, type, sK15: $i > mworld).
6.18/1.19	thf(func_def_62, type, sK16: $i > mworld).
6.18/1.19	thf(func_def_63, type, sK17: mworld > $i).
6.18/1.19	thf(func_def_64, type, sK18: $i > $i > mworld).
6.18/1.19	thf(func_def_65, type, sK19: $i > mworld).
6.18/1.19	thf(func_def_66, type, sK20: $i > mworld).
6.18/1.19	thf(f463,plain,(
6.18/1.19	  $false),
6.18/1.19	  inference(avatar_sat_refutation,[],[f68,f210,f229,f247,f423,f436,f460])).
6.18/1.19	thf(f460,plain,(
6.18/1.19	  ~spl0_1 | ~spl0_5),
6.18/1.19	  inference(avatar_contradiction_clause,[],[f459])).
6.18/1.19	thf(f459,plain,(
6.18/1.19	  $false | (~spl0_1 | ~spl0_5)),
6.18/1.19	  inference(trivial_inequality_removal,[],[f458])).
6.18/1.19	thf(f458,plain,(
6.18/1.19	  ($false = $true) | (~spl0_1 | ~spl0_5)),
6.18/1.19	  inference(backward_demodulation,[],[f296,f457])).
6.18/1.19	thf(f457,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ sK14 @ Y0)))) = $false) | (~spl0_1 | ~spl0_5)),
6.18/1.19	  inference(trivial_inequality_removal,[],[f456])).
6.18/1.19	thf(f456,plain,(
6.18/1.19	  ($false = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ sK14 @ Y0)))) = $false) | (~spl0_1 | ~spl0_5)),
6.18/1.19	  inference(forward_demodulation,[],[f455,f300])).
6.18/1.19	thf(f300,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ sK14 @ Y0)))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f299])).
6.18/1.19	thf(f299,plain,(
6.18/1.19	  ((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ sK11 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ sK12 @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ sK14 @ Y0))))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f297])).
6.18/1.19	thf(f297,plain,(
6.18/1.19	  (((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ sK11 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ sK12 @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ sK14 @ Y0))))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f295])).
6.18/1.19	thf(f295,plain,(
6.18/1.19	  ((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ sK11 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ sK12 @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ sK14 @ Y0))))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f293])).
6.18/1.19	thf(f293,plain,(
6.18/1.19	  (((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ sK11 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ sK12 @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ sK14 @ Y0))))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f291])).
6.18/1.19	thf(f291,plain,(
6.18/1.19	  ((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ sK11 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ sK12 @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ sK13 @ Y0))))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f289])).
6.18/1.19	thf(f289,plain,(
6.18/1.19	  (((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ sK11 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ sK12 @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (way @ sK13 @ Y0))))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f287])).
6.18/1.19	thf(f287,plain,(
6.18/1.19	  ((((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ sK11 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ sK12 @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (way @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ sK13 @ Y0))))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f285])).
6.18/1.19	thf(f285,plain,(
6.18/1.19	  (((((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ sK11 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ sK12 @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (way @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (event @ sK12 @ Y0))))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f283])).
6.18/1.19	thf(f283,plain,(
6.18/1.19	  ((((((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ sK11 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ sK12 @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (way @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (event @ sK12 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ sK11 @ Y0))))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f280])).
6.18/1.19	thf(f280,plain,(
6.18/1.19	  (((((((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ sK11 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ sK12 @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (way @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (event @ sK12 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ sK11 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ sK11 @ Y0))))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f279])).
6.18/1.19	thf(f279,plain,(
6.18/1.19	  (((eiw_di @ sK14 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ sK11 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ sK12 @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (way @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (event @ sK12 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ sK11 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ sK11 @ Y0)))))) = $true) | ~spl0_1),
6.18/1.19	  inference(beta_eta_normalization,[],[f278])).
6.18/1.19	thf(f278,plain,(
6.18/1.19	  (((^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (in @ sK12 @ sK11 @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (down @ sK12 @ sK13 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (barrel @ sK12 @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (old @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (dirty @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (white @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (car @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (chevy @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (lonely @ sK13 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (way @ sK13 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (street @ sK13 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (event @ sK12 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (city @ sK11 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (hollywood @ sK11 @ Y1))))))) @ sK14) = $true) | ~spl0_1),
6.18/1.19	  inference(sigma_clausification,[],[f276])).
6.18/1.19	thf(f276,plain,(
6.18/1.19	  ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (in @ sK12 @ sK11 @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (down @ sK12 @ sK13 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (barrel @ sK12 @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (old @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (dirty @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (white @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (car @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (chevy @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (lonely @ sK13 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (way @ sK13 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (street @ sK13 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (event @ sK12 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (city @ sK11 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (hollywood @ sK11 @ Y1)))))))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f275])).
6.18/1.19	thf(f275,plain,(
6.18/1.19	  (((eiw_di @ sK13 @ sK10) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (in @ sK12 @ sK11 @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (down @ sK12 @ sK13 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (barrel @ sK12 @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (old @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (dirty @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (white @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (car @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (chevy @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (lonely @ sK13 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (way @ sK13 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (street @ sK13 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (event @ sK12 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (city @ sK11 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (hollywood @ sK11 @ Y1))))))))) = $true) | ~spl0_1),
6.18/1.19	  inference(beta_eta_normalization,[],[f274])).
6.18/1.19	thf(f274,plain,(
6.18/1.19	  (((^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (in @ sK12 @ sK11 @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (down @ sK12 @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (barrel @ sK12 @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (old @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (dirty @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (white @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (car @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (chevy @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (lonely @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (way @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (street @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (event @ sK12 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (city @ sK11 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (hollywood @ sK11 @ Y2)))))))))) @ sK13) = $true) | ~spl0_1),
6.18/1.19	  inference(sigma_clausification,[],[f272])).
6.18/1.19	thf(f272,plain,(
6.18/1.19	  ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (in @ sK12 @ sK11 @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (down @ sK12 @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (barrel @ sK12 @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (old @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (dirty @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (white @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (car @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (chevy @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (lonely @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (way @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (street @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (event @ sK12 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (city @ sK11 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (hollywood @ sK11 @ Y2))))))))))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f271])).
6.18/1.19	thf(f271,plain,(
6.18/1.19	  (((eiw_di @ sK12 @ sK10) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (in @ sK12 @ sK11 @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (down @ sK12 @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (barrel @ sK12 @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (old @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (dirty @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (white @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (car @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (chevy @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (lonely @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (way @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (street @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (event @ sK12 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (city @ sK11 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (hollywood @ sK11 @ Y2)))))))))))) = $true) | ~spl0_1),
6.18/1.19	  inference(beta_eta_normalization,[],[f270])).
6.18/1.19	thf(f270,plain,(
6.18/1.19	  (((^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK10) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (in @ Y0 @ sK11 @ Y3)))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (down @ Y0 @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (barrel @ Y0 @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (old @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (dirty @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (white @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (car @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (chevy @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (lonely @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (way @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (street @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (event @ Y0 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (city @ sK11 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (hollywood @ sK11 @ Y3))))))))))))) @ sK12) = $true) | ~spl0_1),
6.18/1.19	  inference(sigma_clausification,[],[f268])).
6.18/1.19	thf(f268,plain,(
6.18/1.19	  ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK10) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (in @ Y0 @ sK11 @ Y3)))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (down @ Y0 @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (barrel @ Y0 @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (old @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (dirty @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (white @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (car @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (chevy @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (lonely @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (way @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (street @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (event @ Y0 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (city @ sK11 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (hollywood @ sK11 @ Y3)))))))))))))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f267])).
6.18/1.19	thf(f267,plain,(
6.18/1.19	  (((eiw_di @ sK11 @ sK10) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK10) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (in @ Y0 @ sK11 @ Y3)))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (down @ Y0 @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (barrel @ Y0 @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (old @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (dirty @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (white @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (car @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (chevy @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (lonely @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (way @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (street @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (event @ Y0 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (city @ sK11 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (hollywood @ sK11 @ Y3))))))))))))))) = $true) | ~spl0_1),
6.18/1.19	  inference(beta_eta_normalization,[],[f266])).
6.18/1.19	thf(f266,plain,(
6.18/1.19	  (((^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK10) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK10) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (in @ Y1 @ Y0 @ Y4)))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (down @ Y1 @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (barrel @ Y1 @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (old @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (dirty @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (white @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (car @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (chevy @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (lonely @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (way @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (street @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (event @ Y1 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (city @ Y0 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (hollywood @ Y0 @ Y4)))))))))))))))) @ sK11) = $true) | ~spl0_1),
6.18/1.19	  inference(sigma_clausification,[],[f255])).
6.18/1.19	thf(f255,plain,(
6.18/1.19	  ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK10) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK10) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (in @ Y1 @ Y0 @ Y4)))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (down @ Y1 @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (barrel @ Y1 @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (old @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (dirty @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (white @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (car @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (chevy @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (lonely @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (way @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (street @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (event @ Y1 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (city @ Y0 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (hollywood @ Y0 @ Y4))))))))))))))))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f252])).
6.18/1.19	thf(f252,plain,(
6.18/1.19	  (((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK10) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK10) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (in @ Y1 @ Y0 @ Y4)))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (down @ Y1 @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (barrel @ Y1 @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (old @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (dirty @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (white @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (car @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (chevy @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (lonely @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (way @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (street @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (event @ Y1 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (city @ Y0 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (hollywood @ Y0 @ Y4))))))))))))))))) => (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK10) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK10) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (in @ Y1 @ Y0 @ Y4)))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (down @ Y1 @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (barrel @ Y1 @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (lonely @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (way @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (street @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (old @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (dirty @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (white @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (car @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (chevy @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (event @ Y1 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (city @ Y0 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (hollywood @ Y0 @ Y4)))))))))))))))))) = $false) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f251])).
6.18/1.19	thf(f251,plain,(
6.18/1.19	  (((mrel @ mactual @ sK10) => ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK10) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK10) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (in @ Y1 @ Y0 @ Y4)))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (down @ Y1 @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (barrel @ Y1 @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (old @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (dirty @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (white @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (car @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (chevy @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (lonely @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (way @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (street @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (event @ Y1 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (city @ Y0 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (hollywood @ Y0 @ Y4))))))))))))))))) => (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK10) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK10) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (in @ Y1 @ Y0 @ Y4)))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (down @ Y1 @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (barrel @ Y1 @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (lonely @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (way @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (street @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (old @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (dirty @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (white @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (car @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (chevy @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (event @ Y1 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (city @ Y0 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (hollywood @ Y0 @ Y4))))))))))))))))))) = $false) | ~spl0_1),
6.18/1.19	  inference(beta_eta_normalization,[],[f250])).
6.18/1.19	thf(f250,plain,(
6.18/1.19	  ($false = ((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y0) & ((((((((((((((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (in @ Y2 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (down @ Y2 @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (barrel @ Y2 @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (old @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (dirty @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (white @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (car @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (chevy @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (lonely @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (way @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (street @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (event @ Y2 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (city @ Y1 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (hollywood @ Y1 @ Y5))))))))))))))))) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y0) & ((((((((((((((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (in @ Y2 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (down @ Y2 @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (barrel @ Y2 @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (lonely @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (way @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (street @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (old @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (dirty @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (white @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (car @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (chevy @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (event @ Y2 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (city @ Y1 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (hollywood @ Y1 @ Y5)))))))))))))))))))) @ sK10)) | ~spl0_1),
6.18/1.19	  inference(sigma_clausification,[],[f63])).
6.18/1.19	thf(f63,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y0) & ((((((((((((((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (in @ Y2 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (down @ Y2 @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (barrel @ Y2 @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (old @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (dirty @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (white @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (car @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (chevy @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (lonely @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (way @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (street @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (event @ Y2 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (city @ Y1 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (hollywood @ Y1 @ Y5))))))))))))))))) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y0) & ((((((((((((((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (in @ Y2 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (down @ Y2 @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (barrel @ Y2 @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (lonely @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (way @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (street @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (old @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (dirty @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (white @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (car @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (chevy @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (event @ Y2 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (city @ Y1 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (hollywood @ Y1 @ Y5))))))))))))))))))))) = $false) | ~spl0_1),
6.18/1.19	  inference(avatar_component_clause,[],[f61])).
6.18/1.19	thf(f61,plain,(
6.18/1.19	  spl0_1 <=> ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y0) & ((((((((((((((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (in @ Y2 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (down @ Y2 @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (barrel @ Y2 @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (old @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (dirty @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (white @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (car @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (chevy @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (lonely @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (way @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (street @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (event @ Y2 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (city @ Y1 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (hollywood @ Y1 @ Y5))))))))))))))))) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y0) & ((((((((((((((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (in @ Y2 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (down @ Y2 @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (barrel @ Y2 @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (lonely @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (way @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (street @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (old @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (dirty @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (white @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (car @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (chevy @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (event @ Y2 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (city @ Y1 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (hollywood @ Y1 @ Y5))))))))))))))))))))) = $false)),
6.18/1.19	  introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
6.18/1.19	thf(f455,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ sK14 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ sK14 @ Y0)))) = $false) | (~spl0_1 | ~spl0_5)),
6.18/1.19	  inference(trivial_inequality_removal,[],[f454])).
6.18/1.19	thf(f454,plain,(
6.18/1.19	  ($false = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ sK14 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ sK14 @ Y0)))) = $false) | (~spl0_1 | ~spl0_5)),
6.18/1.19	  inference(forward_demodulation,[],[f453,f302])).
6.18/1.19	thf(f302,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ sK14 @ Y0)))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f301])).
6.18/1.19	thf(f301,plain,(
6.18/1.19	  (((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ sK11 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ sK12 @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ sK14 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ sK14 @ Y0))))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f299])).
6.18/1.19	thf(f453,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ sK14 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ sK14 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ sK14 @ Y0)))) = $false) | (~spl0_1 | ~spl0_5)),
6.18/1.19	  inference(trivial_inequality_removal,[],[f452])).
6.18/1.19	thf(f452,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ sK14 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ sK14 @ Y0)))) = $false) | ($false = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ sK14 @ Y0)))) = $false) | (~spl0_1 | ~spl0_5)),
6.18/1.19	  inference(forward_demodulation,[],[f451,f298])).
6.18/1.19	thf(f298,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ sK14 @ Y0)))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f297])).
6.18/1.19	thf(f451,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ sK14 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ sK14 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ sK14 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ sK14 @ Y0)))) = $false) | (~spl0_1 | ~spl0_5)),
6.18/1.19	  inference(trivial_inequality_removal,[],[f450])).
6.18/1.19	thf(f450,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ sK14 @ Y0)))) = $false) | ($false = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ sK14 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ sK14 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ sK14 @ Y0)))) = $false) | (~spl0_1 | ~spl0_5)),
6.18/1.19	  inference(forward_demodulation,[],[f449,f294])).
6.18/1.19	thf(f294,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ sK14 @ Y0)))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f293])).
6.18/1.19	thf(f449,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ sK14 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ sK14 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ sK14 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ sK14 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ sK14 @ Y0)))) = $false) | (~spl0_1 | ~spl0_5)),
6.18/1.19	  inference(trivial_inequality_removal,[],[f448])).
6.18/1.19	thf(f448,plain,(
6.18/1.19	  ($false = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ sK14 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ sK14 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ sK14 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ sK14 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ sK14 @ Y0)))) = $false) | (~spl0_1 | ~spl0_5)),
6.18/1.19	  inference(forward_demodulation,[],[f447,f281])).
6.18/1.19	thf(f281,plain,(
6.18/1.19	  ((eiw_di @ sK14 @ sK10) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f279])).
6.18/1.19	thf(f447,plain,(
6.18/1.19	  ($false = (eiw_di @ sK14 @ sK10)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ sK14 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ sK14 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ sK14 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ sK14 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ sK14 @ Y0)))) = $false) | (~spl0_1 | ~spl0_5)),
6.18/1.19	  inference(trivial_inequality_removal,[],[f443])).
6.18/1.19	thf(f443,plain,(
6.18/1.19	  ($false = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ sK14 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ sK14 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ sK14 @ Y0)))) = $false) | ($false = (eiw_di @ sK14 @ sK10)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ sK14 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ sK14 @ Y0)))) = $false) | (~spl0_1 | ~spl0_5)),
6.18/1.19	  inference(superposition,[],[f419,f304])).
6.18/1.19	thf(f304,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ sK14 @ Y0)))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f303])).
6.18/1.19	thf(f303,plain,(
6.18/1.19	  ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ sK11 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ sK12 @ sK13 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ sK14 @ Y0))))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f301])).
6.18/1.19	thf(f419,plain,(
6.18/1.19	  ( ! [X0 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X0 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X0 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X0 @ Y0)))) = $false) | ($false = (eiw_di @ X0 @ sK10))) ) | ~spl0_5),
6.18/1.19	  inference(avatar_component_clause,[],[f418])).
6.18/1.19	thf(f418,plain,(
6.18/1.19	  spl0_5 <=> ! [X0] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X0 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X0 @ Y0))))) | ($false = (eiw_di @ X0 @ sK10)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ X0 @ Y0)))) = $false))),
6.18/1.19	  introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
6.18/1.19	thf(f296,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ sK14 @ Y0)))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f295])).
6.18/1.19	thf(f436,plain,(
6.18/1.19	  ~spl0_1 | ~spl0_6),
6.18/1.19	  inference(avatar_contradiction_clause,[],[f435])).
6.18/1.19	thf(f435,plain,(
6.18/1.19	  $false | (~spl0_1 | ~spl0_6)),
6.18/1.19	  inference(trivial_inequality_removal,[],[f434])).
6.18/1.19	thf(f434,plain,(
6.18/1.19	  ($false = $true) | (~spl0_1 | ~spl0_6)),
6.18/1.19	  inference(backward_demodulation,[],[f284,f433])).
6.18/1.19	thf(f433,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ sK11 @ Y0)))) = $false) | (~spl0_1 | ~spl0_6)),
6.18/1.19	  inference(trivial_inequality_removal,[],[f432])).
6.18/1.19	thf(f432,plain,(
6.18/1.19	  ($false = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ sK11 @ Y0)))) = $false) | (~spl0_1 | ~spl0_6)),
6.18/1.19	  inference(forward_demodulation,[],[f431,f282])).
6.18/1.19	thf(f282,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ sK11 @ Y0)))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f280])).
6.18/1.19	thf(f431,plain,(
6.18/1.19	  ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ sK11 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ sK11 @ Y0)))) = $false) | (~spl0_1 | ~spl0_6)),
6.18/1.19	  inference(trivial_inequality_removal,[],[f430])).
6.18/1.19	thf(f430,plain,(
6.18/1.19	  ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ sK11 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ sK11 @ Y0)))) = $false) | ($false = $true) | (~spl0_1 | ~spl0_6)),
6.18/1.19	  inference(forward_demodulation,[],[f429,f269])).
6.18/1.19	thf(f269,plain,(
6.18/1.19	  ((eiw_di @ sK11 @ sK10) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f267])).
6.18/1.19	thf(f429,plain,(
6.18/1.19	  ((eiw_di @ sK11 @ sK10) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ sK11 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ sK11 @ Y0)))) = $false) | (~spl0_1 | ~spl0_6)),
6.18/1.19	  inference(trivial_inequality_removal,[],[f426])).
6.18/1.19	thf(f426,plain,(
6.18/1.19	  ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ sK11 @ Y0))))) | ($false = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ sK11 @ Y0)))) = $false) | ((eiw_di @ sK11 @ sK10) = $false) | (~spl0_1 | ~spl0_6)),
6.18/1.19	  inference(superposition,[],[f307,f422])).
6.18/1.19	thf(f422,plain,(
6.18/1.19	  ( ! [X1 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ X1 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK10) = $false)) ) | ~spl0_6),
6.18/1.19	  inference(avatar_component_clause,[],[f421])).
6.18/1.19	thf(f421,plain,(
6.18/1.19	  spl0_6 <=> ! [X1] : (($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ X1 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false))),
6.18/1.19	  introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
6.18/1.19	thf(f307,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ sK11 @ Y0)))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f305])).
6.18/1.19	thf(f305,plain,(
6.18/1.19	  (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ sK11 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ sK12 @ sK13 @ Y0))))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f303])).
6.18/1.19	thf(f284,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ sK11 @ Y0)))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f283])).
6.18/1.19	thf(f423,plain,(
6.18/1.19	  spl0_5 | spl0_6 | ~spl0_1),
6.18/1.19	  inference(avatar_split_clause,[],[f414,f61,f421,f418])).
6.18/1.19	thf(f414,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X0 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ($false = (eiw_di @ X0 @ sK10)) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X0 @ Y0))))) | ((eiw_di @ X1 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X0 @ Y0)))) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(trivial_inequality_removal,[],[f413])).
6.18/1.19	thf(f413,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X0 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | ((eiw_di @ X1 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X0 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X0 @ Y0)))) = $false) | ($false = (eiw_di @ X0 @ sK10)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X0 @ Y0)))) = $false) | ($false = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ X0 @ Y0)))) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(forward_demodulation,[],[f412,f288])).
6.18/1.19	thf(f288,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ sK13 @ Y0)))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f287])).
6.18/1.19	thf(f412,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ X1 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | ((eiw_di @ X1 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X0 @ Y0)))) = $false) | ($false = (eiw_di @ X0 @ sK10)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X0 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X0 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ sK13 @ Y0)))) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(trivial_inequality_removal,[],[f411])).
6.18/1.19	thf(f411,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ($false = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X0 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ sK13 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X0 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK10) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X0 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ X0 @ Y0)))) = $false) | ($false = (eiw_di @ X0 @ sK10)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ X1 @ Y0)))) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(forward_demodulation,[],[f410,f277])).
6.18/1.19	thf(f277,plain,(
6.18/1.19	  ((eiw_di @ sK13 @ sK10) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f275])).
6.18/1.19	thf(f410,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X0 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X0 @ Y0))))) | ($false = (eiw_di @ sK13 @ sK10)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X0 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ X0 @ Y0)))) = $false) | ($false = (eiw_di @ X0 @ sK10)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X0 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ sK13 @ Y0)))) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(trivial_inequality_removal,[],[f409])).
6.18/1.19	thf(f409,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X0 @ Y0)))) = $false) | ($false = (eiw_di @ X0 @ sK10)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X0 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ sK13 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X0 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ X1 @ Y0)))) = $false) | ($false = $true) | ($false = (eiw_di @ sK13 @ sK10))) ) | ~spl0_1),
6.18/1.19	  inference(forward_demodulation,[],[f408,f292])).
6.18/1.19	thf(f292,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ sK13 @ Y0)))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f291])).
6.18/1.19	thf(f408,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X0 @ Y0)))) = $false) | ($false = (eiw_di @ X0 @ sK10)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ sK13 @ Y0)))) = $false) | ($false = (eiw_di @ sK13 @ sK10)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ sK13 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ X1 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X0 @ Y0))))) | ((eiw_di @ X1 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ X0 @ Y0)))) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(trivial_inequality_removal,[],[f407])).
6.18/1.19	thf(f407,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X0 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ X0 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK10) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ sK13 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ sK13 @ Y0)))) = $false) | ($false = (eiw_di @ sK13 @ sK10)) | ($false = (eiw_di @ X0 @ sK10)) | ($false = $true)) ) | ~spl0_1),
6.18/1.19	  inference(forward_demodulation,[],[f406,f273])).
6.18/1.19	thf(f273,plain,(
6.18/1.19	  ((eiw_di @ sK12 @ sK10) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f271])).
6.18/1.19	thf(f406,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X0 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X0 @ Y0)))) = $false) | ((eiw_di @ sK12 @ sK10) = $false) | ($false = (eiw_di @ sK13 @ sK10)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ sK13 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ sK13 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X0 @ Y0)))) = $false) | ($false = (eiw_di @ X0 @ sK10)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X0 @ Y0)))) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(trivial_inequality_removal,[],[f405])).
6.18/1.19	thf(f405,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ X0 @ Y0)))) = $false) | ($false = (eiw_di @ X0 @ sK10)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ sK13 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ X1 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | ($false = $true) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X0 @ Y0))))) | ($false = (eiw_di @ sK13 @ sK10)) | ((eiw_di @ X1 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ sK13 @ Y0)))) = $false) | ((eiw_di @ sK12 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X0 @ Y0)))) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(forward_demodulation,[],[f404,f286])).
6.18/1.19	thf(f286,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (event @ sK12 @ Y0)))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f285])).
6.18/1.19	thf(f404,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ X0 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (event @ sK12 @ Y0)))) = $false) | ((eiw_di @ sK12 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ sK13 @ Y0)))) = $false) | ($false = (eiw_di @ sK13 @ sK10)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ sK13 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X0 @ Y0))))) | ((eiw_di @ X1 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X0 @ Y0)))) = $false) | ($false = (eiw_di @ X0 @ sK10)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ X1 @ Y0)))) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(trivial_inequality_removal,[],[f403])).
6.18/1.19	thf(f403,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ X0 @ Y0)))) = $false) | ($false = (eiw_di @ X0 @ sK10)) | ($false = (eiw_di @ sK13 @ sK10)) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X0 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X0 @ Y0)))) = $false) | ($false = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ sK13 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (event @ sK12 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ sK13 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | ((eiw_di @ sK12 @ sK10) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(forward_demodulation,[],[f402,f290])).
6.18/1.19	thf(f290,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (way @ sK13 @ Y0)))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f289])).
6.18/1.19	thf(f402,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (way @ sK13 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (event @ sK12 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ sK13 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X0 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ sK13 @ Y0)))) = $false) | ((eiw_di @ sK12 @ sK10) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | ($false = (eiw_di @ sK13 @ sK10)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ X1 @ Y0)))) = $false) | ($false = (eiw_di @ X0 @ sK10)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ X0 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X0 @ Y0)))))) ) | ~spl0_1),
6.18/1.19	  inference(trivial_inequality_removal,[],[f399])).
6.18/1.19	thf(f399,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ sK13 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (event @ sK12 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (way @ sK13 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X0 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ($false = $true) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X0 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ sK12 @ X0 @ Y0)))) = $false) | ((eiw_di @ sK12 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ sK13 @ Y0)))) = $false) | ($false = (eiw_di @ X0 @ sK10)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ sK12 @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X0 @ Y0)))) = $false) | ($false = (eiw_di @ sK13 @ sK10))) ) | ~spl0_1),
6.18/1.19	  inference(superposition,[],[f306,f392])).
6.18/1.19	thf(f392,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ X2 @ X4 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X3 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ X2 @ X3 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ X2 @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ X4 @ Y0)))) = $false) | ((eiw_di @ X2 @ sK10) = $false) | ((eiw_di @ X1 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X3 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (event @ X2 @ Y0)))) = $false) | ((eiw_di @ X4 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X3 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X3 @ Y0)))) = $false) | ((eiw_di @ X3 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X3 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (way @ X4 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ X4 @ Y0)))) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f391])).
6.18/1.19	thf(f391,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X1 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X3 @ Y0)))) = $false) | ((eiw_di @ X2 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ X2 @ X3 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X3 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ X4 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X3 @ Y0)))) = $false) | ((eiw_di @ X4 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (event @ X2 @ Y0)))) = $false) | ((eiw_di @ X3 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X3 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ X4 @ Y0)))) = $false) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ X2 @ X4 @ Y0))))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (way @ X4 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X3 @ Y0)))))) ) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f390])).
6.18/1.19	thf(f390,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X3 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (way @ X4 @ Y0)))) = $false) | ((eiw_di @ X2 @ sK10) = $false) | ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ X2 @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ X2 @ X3 @ Y0))))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X3 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (event @ X2 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X3 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ X4 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X3 @ Y0)))) = $false) | ((eiw_di @ X4 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X3 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ X4 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK10) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X3 @ Y0)))))) ) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f389])).
6.18/1.19	thf(f389,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X4 @ sK10) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X3 @ Y0))))) | ((eiw_di @ X3 @ sK10) = $false) | ((eiw_di @ X2 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X3 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (way @ X4 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK10) = $false) | (((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ X2 @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ X2 @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ X4 @ Y0))))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ X4 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X3 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X3 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (event @ X2 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X3 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0)))))) ) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f388])).
6.18/1.19	thf(f388,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X3 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X3 @ Y0)))) = $false) | ((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ X2 @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ X2 @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (way @ X4 @ Y0))))) = $false) | ((eiw_di @ X1 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X3 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X3 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (event @ X2 @ Y0)))) = $false) | ((eiw_di @ X2 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X3 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ X4 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X3 @ Y0))))) | ((eiw_di @ X4 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f387])).
6.18/1.19	thf(f387,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | (((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ X2 @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ X2 @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (way @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ X4 @ Y0))))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X3 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X3 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X3 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (event @ X2 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X3 @ Y0))))) | ((eiw_di @ X4 @ sK10) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X3 @ Y0)))) = $false) | ((eiw_di @ X3 @ sK10) = $false) | ((eiw_di @ X2 @ sK10) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f386])).
6.18/1.19	thf(f386,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | ((eiw_di @ X3 @ sK10) = $false) | ((eiw_di @ X4 @ sK10) = $false) | ((eiw_di @ X1 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X3 @ Y0)))) = $false) | ((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ X2 @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ X2 @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (way @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X3 @ Y0))))) = $false) | ((eiw_di @ X2 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (event @ X2 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X3 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X3 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X3 @ Y0)))) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f385])).
6.18/1.19	thf(f385,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X3 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X3 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X3 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK10) = $false) | ((eiw_di @ X4 @ sK10) = $false) | (((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ X2 @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ X2 @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (way @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X3 @ Y0))))) = $false) | ((eiw_di @ X3 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (event @ X2 @ Y0)))) = $false) | ((eiw_di @ X2 @ sK10) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f384])).
6.18/1.19	thf(f384,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ X2 @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ X2 @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (way @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X3 @ Y0))))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (event @ X2 @ Y0)))) = $false) | ((eiw_di @ X2 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X3 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X3 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK10) = $false) | ((eiw_di @ X3 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | ((eiw_di @ X4 @ sK10) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f383])).
6.18/1.19	thf(f383,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | ((eiw_di @ X2 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | (((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ X2 @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ X2 @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (way @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X3 @ Y0))))) = $false) | ((eiw_di @ X3 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X3 @ Y0)))) = $false) | ((eiw_di @ X4 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (event @ X2 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK10) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f382])).
6.18/1.19	thf(f382,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X3 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (event @ X2 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ((eiw_di @ X4 @ sK10) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | ((((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ X2 @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ X2 @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (way @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X3 @ Y0))))) = $false) | ((eiw_di @ X2 @ sK10) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f381])).
6.18/1.19	thf(f381,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X4 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) | (((((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ X2 @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ X2 @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (way @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (event @ X2 @ Y0))))) = $false) | ((eiw_di @ X1 @ sK10) = $false) | ((eiw_di @ X2 @ sK10) = $false) | ((eiw_di @ X3 @ sK10) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f380])).
6.18/1.19	thf(f380,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((((((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ X2 @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ X2 @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (way @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (event @ X2 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) = $false) | ((eiw_di @ X1 @ sK10) = $false) | ((eiw_di @ X3 @ sK10) = $false) | ((eiw_di @ X2 @ sK10) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ((eiw_di @ X4 @ sK10) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f379])).
6.18/1.19	thf(f379,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X2 @ sK10) = $false) | (((((((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ X2 @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ X2 @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (way @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (event @ X2 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0))))) = $false) | ((eiw_di @ X1 @ sK10) = $false) | ((eiw_di @ X4 @ sK10) = $false) | ((eiw_di @ X3 @ sK10) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f378])).
6.18/1.19	thf(f378,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((eiw_di @ X4 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ X2 @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (barrel @ X2 @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (lonely @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (way @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (street @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (old @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (dirty @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (white @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (car @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (chevy @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (event @ X2 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (city @ X1 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (hollywood @ X1 @ Y0)))))) = $false) | ((eiw_di @ X1 @ sK10) = $false) | ((eiw_di @ X2 @ sK10) = $false) | ((eiw_di @ X3 @ sK10) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(beta_eta_normalization,[],[f377])).
6.18/1.19	thf(f377,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (in @ X2 @ X1 @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (down @ X2 @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (barrel @ X2 @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (lonely @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (way @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (street @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (old @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (dirty @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (white @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (car @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (chevy @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (event @ X2 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (city @ X1 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (hollywood @ X1 @ Y1))))))) @ X4) = $false) | ((eiw_di @ X2 @ sK10) = $false) | ((eiw_di @ X1 @ sK10) = $false) | ((eiw_di @ X3 @ sK10) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(pi_clausification,[],[f376])).
6.18/1.19	thf(f376,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (in @ X2 @ X1 @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (down @ X2 @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (barrel @ X2 @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (lonely @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (way @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (street @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (old @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (dirty @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (white @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (car @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (chevy @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (event @ X2 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (city @ X1 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (hollywood @ X1 @ Y1)))))))) = $false) | ((eiw_di @ X3 @ sK10) = $false) | ((eiw_di @ X1 @ sK10) = $false) | ((eiw_di @ X2 @ sK10) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f375])).
6.18/1.19	thf(f375,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (((eiw_di @ X2 @ sK10) = $false) | (((eiw_di @ X3 @ sK10) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (in @ X2 @ X1 @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (down @ X2 @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (barrel @ X2 @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (lonely @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (way @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (street @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (old @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (dirty @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (white @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (car @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (chevy @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (event @ X2 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (city @ X1 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (hollywood @ X1 @ Y1))))))))) = $false) | ((eiw_di @ X1 @ sK10) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(beta_eta_normalization,[],[f374])).
6.18/1.19	thf(f374,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = ((^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (in @ X2 @ X1 @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (down @ X2 @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (barrel @ X2 @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (lonely @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (way @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (street @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (old @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (dirty @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (white @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (car @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (chevy @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (event @ X2 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (city @ X1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (hollywood @ X1 @ Y2)))))))))) @ X3)) | ((eiw_di @ X2 @ sK10) = $false) | ((eiw_di @ X1 @ sK10) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(pi_clausification,[],[f265])).
6.18/1.19	thf(f265,plain,(
6.18/1.19	  ( ! [X2 : $i,X1 : $i] : (($false = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (in @ X2 @ X1 @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (down @ X2 @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (barrel @ X2 @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (lonely @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (way @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (street @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (old @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (dirty @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (white @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (car @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (chevy @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (event @ X2 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (city @ X1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (hollywood @ X1 @ Y2)))))))))))) | ((eiw_di @ X2 @ sK10) = $false) | ((eiw_di @ X1 @ sK10) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f264])).
6.18/1.19	thf(f264,plain,(
6.18/1.19	  ( ! [X2 : $i,X1 : $i] : (((eiw_di @ X1 @ sK10) = $false) | ($false = ((eiw_di @ X2 @ sK10) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (in @ X2 @ X1 @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (down @ X2 @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (barrel @ X2 @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (lonely @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (way @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (street @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (old @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (dirty @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (white @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (car @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (chevy @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (event @ X2 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (city @ X1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK10 @ Y2) => (hollywood @ X1 @ Y2)))))))))))))) ) | ~spl0_1),
6.18/1.19	  inference(beta_eta_normalization,[],[f263])).
6.18/1.19	thf(f263,plain,(
6.18/1.19	  ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK10) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (in @ Y0 @ X1 @ Y3)))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (down @ Y0 @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (barrel @ Y0 @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (lonely @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (way @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (street @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (old @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (dirty @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (white @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (car @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (chevy @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (event @ Y0 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (city @ X1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (hollywood @ X1 @ Y3))))))))))))) @ X2) = $false) | ((eiw_di @ X1 @ sK10) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(pi_clausification,[],[f262])).
6.18/1.19	thf(f262,plain,(
6.18/1.19	  ( ! [X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK10) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (in @ Y0 @ X1 @ Y3)))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (down @ Y0 @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (barrel @ Y0 @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (lonely @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (way @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (street @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (old @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (dirty @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (white @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (car @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (chevy @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (event @ Y0 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (city @ X1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (hollywood @ X1 @ Y3)))))))))))))) = $false) | ((eiw_di @ X1 @ sK10) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f261])).
6.18/1.19	thf(f261,plain,(
6.18/1.19	  ( ! [X1 : $i] : ((((eiw_di @ X1 @ sK10) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK10) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (in @ Y0 @ X1 @ Y3)))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (down @ Y0 @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (barrel @ Y0 @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (lonely @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (way @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (street @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (old @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (dirty @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (white @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (car @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (chevy @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (event @ Y0 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (city @ X1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK10 @ Y3) => (hollywood @ X1 @ Y3))))))))))))))) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(beta_eta_normalization,[],[f260])).
6.18/1.19	thf(f260,plain,(
6.18/1.19	  ( ! [X1 : $i] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK10) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK10) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (in @ Y1 @ Y0 @ Y4)))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (down @ Y1 @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (barrel @ Y1 @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (lonely @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (way @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (street @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (old @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (dirty @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (white @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (car @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (chevy @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (event @ Y1 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (city @ Y0 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (hollywood @ Y0 @ Y4)))))))))))))))) @ X1) = $false)) ) | ~spl0_1),
6.18/1.19	  inference(pi_clausification,[],[f254])).
6.18/1.19	thf(f254,plain,(
6.18/1.19	  ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK10) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK10) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ sK10) & ((((((((((((((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (in @ Y1 @ Y0 @ Y4)))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (down @ Y1 @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (barrel @ Y1 @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (lonely @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (way @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (street @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (old @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (dirty @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (white @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (car @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (chevy @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (event @ Y1 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (city @ Y0 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK10 @ Y4) => (hollywood @ Y0 @ Y4))))))))))))))))) = $false) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f252])).
6.18/1.19	thf(f306,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (down @ sK12 @ sK13 @ Y0)))) = $true) | ~spl0_1),
6.18/1.19	  inference(binary_proxy_clausification,[],[f305])).
6.18/1.19	thf(f247,plain,(
6.18/1.19	  ~spl0_2 | ~spl0_4),
6.18/1.19	  inference(avatar_contradiction_clause,[],[f246])).
6.18/1.19	thf(f246,plain,(
6.18/1.19	  $false | (~spl0_2 | ~spl0_4)),
6.18/1.19	  inference(trivial_inequality_removal,[],[f245])).
6.18/1.19	thf(f245,plain,(
6.18/1.19	  ($false = $true) | (~spl0_2 | ~spl0_4)),
6.18/1.19	  inference(backward_demodulation,[],[f99,f244])).
6.18/1.19	thf(f244,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ sK3 @ Y0)))) = $false) | (~spl0_2 | ~spl0_4)),
6.18/1.19	  inference(trivial_inequality_removal,[],[f243])).
6.18/1.19	thf(f243,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ sK3 @ Y0)))) = $false) | ($false = $true) | (~spl0_2 | ~spl0_4)),
6.18/1.19	  inference(forward_demodulation,[],[f242,f97])).
6.18/1.19	thf(f97,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ sK3 @ Y0)))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f95])).
6.18/1.19	thf(f95,plain,(
6.18/1.19	  (((((((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ sK3 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ sK4 @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (event @ sK4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ sK3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ sK3 @ Y0))))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f94])).
6.18/1.19	thf(f94,plain,(
6.18/1.19	  (((eiw_di @ sK6 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ sK3 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ sK4 @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (event @ sK4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ sK3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ sK3 @ Y0)))))) = $true) | ~spl0_2),
6.18/1.19	  inference(beta_eta_normalization,[],[f93])).
6.18/1.19	thf(f93,plain,(
6.18/1.19	  (((^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (in @ sK4 @ sK3 @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (down @ sK4 @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (barrel @ sK4 @ sK5 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (lonely @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (way @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (street @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (old @ sK5 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (dirty @ sK5 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (white @ sK5 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (car @ sK5 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (chevy @ sK5 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (event @ sK4 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (city @ sK3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (hollywood @ sK3 @ Y1))))))) @ sK6) = $true) | ~spl0_2),
6.18/1.19	  inference(sigma_clausification,[],[f91])).
6.18/1.19	thf(f91,plain,(
6.18/1.19	  ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (in @ sK4 @ sK3 @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (down @ sK4 @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (barrel @ sK4 @ sK5 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (lonely @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (way @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (street @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (old @ sK5 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (dirty @ sK5 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (white @ sK5 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (car @ sK5 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (chevy @ sK5 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (event @ sK4 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (city @ sK3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (hollywood @ sK3 @ Y1)))))))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f90])).
6.18/1.19	thf(f90,plain,(
6.18/1.19	  (((eiw_di @ sK5 @ sK2) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (in @ sK4 @ sK3 @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (down @ sK4 @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (barrel @ sK4 @ sK5 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (lonely @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (way @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (street @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (old @ sK5 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (dirty @ sK5 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (white @ sK5 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (car @ sK5 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (chevy @ sK5 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (event @ sK4 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (city @ sK3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (hollywood @ sK3 @ Y1))))))))) = $true) | ~spl0_2),
6.18/1.19	  inference(beta_eta_normalization,[],[f89])).
6.18/1.19	thf(f89,plain,(
6.18/1.19	  (((^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (in @ sK4 @ sK3 @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (down @ sK4 @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (barrel @ sK4 @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (lonely @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (way @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (street @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (old @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (dirty @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (white @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (car @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (chevy @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (event @ sK4 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (city @ sK3 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (hollywood @ sK3 @ Y2)))))))))) @ sK5) = $true) | ~spl0_2),
6.18/1.19	  inference(sigma_clausification,[],[f87])).
6.18/1.19	thf(f87,plain,(
6.18/1.19	  ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (in @ sK4 @ sK3 @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (down @ sK4 @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (barrel @ sK4 @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (lonely @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (way @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (street @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (old @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (dirty @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (white @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (car @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (chevy @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (event @ sK4 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (city @ sK3 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (hollywood @ sK3 @ Y2))))))))))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f86])).
6.18/1.19	thf(f86,plain,(
6.18/1.19	  (((eiw_di @ sK4 @ sK2) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (in @ sK4 @ sK3 @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (down @ sK4 @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (barrel @ sK4 @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (lonely @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (way @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (street @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (old @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (dirty @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (white @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (car @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (chevy @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (event @ sK4 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (city @ sK3 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (hollywood @ sK3 @ Y2)))))))))))) = $true) | ~spl0_2),
6.18/1.19	  inference(beta_eta_normalization,[],[f85])).
6.18/1.19	thf(f85,plain,(
6.18/1.19	  (((^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK2) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (in @ Y0 @ sK3 @ Y3)))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (down @ Y0 @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (barrel @ Y0 @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (lonely @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (way @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (street @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (old @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (dirty @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (white @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (car @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (chevy @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (event @ Y0 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (city @ sK3 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (hollywood @ sK3 @ Y3))))))))))))) @ sK4) = $true) | ~spl0_2),
6.18/1.19	  inference(sigma_clausification,[],[f83])).
6.18/1.19	thf(f83,plain,(
6.18/1.19	  ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK2) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (in @ Y0 @ sK3 @ Y3)))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (down @ Y0 @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (barrel @ Y0 @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (lonely @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (way @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (street @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (old @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (dirty @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (white @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (car @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (chevy @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (event @ Y0 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (city @ sK3 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (hollywood @ sK3 @ Y3)))))))))))))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f82])).
6.18/1.19	thf(f82,plain,(
6.18/1.19	  (((eiw_di @ sK3 @ sK2) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK2) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (in @ Y0 @ sK3 @ Y3)))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (down @ Y0 @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (barrel @ Y0 @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (lonely @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (way @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (street @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (old @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (dirty @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (white @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (car @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (chevy @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (event @ Y0 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (city @ sK3 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (hollywood @ sK3 @ Y3))))))))))))))) = $true) | ~spl0_2),
6.18/1.19	  inference(beta_eta_normalization,[],[f81])).
6.18/1.19	thf(f81,plain,(
6.18/1.19	  (((^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK2) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK2) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (in @ Y1 @ Y0 @ Y4)))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (down @ Y1 @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (barrel @ Y1 @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (lonely @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (way @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (street @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (old @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (dirty @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (white @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (car @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (chevy @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (event @ Y1 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (city @ Y0 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (hollywood @ Y0 @ Y4)))))))))))))))) @ sK3) = $true) | ~spl0_2),
6.18/1.19	  inference(sigma_clausification,[],[f74])).
6.18/1.19	thf(f74,plain,(
6.18/1.19	  ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK2) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK2) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (in @ Y1 @ Y0 @ Y4)))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (down @ Y1 @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (barrel @ Y1 @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (lonely @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (way @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (street @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (old @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (dirty @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (white @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (car @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (chevy @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (event @ Y1 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (city @ Y0 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (hollywood @ Y0 @ Y4))))))))))))))))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f71])).
6.18/1.19	thf(f71,plain,(
6.18/1.19	  (((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK2) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK2) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (in @ Y1 @ Y0 @ Y4)))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (down @ Y1 @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (barrel @ Y1 @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (lonely @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (way @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (street @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (old @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (dirty @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (white @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (car @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (chevy @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (event @ Y1 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (city @ Y0 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (hollywood @ Y0 @ Y4))))))))))))))))) => (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK2) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK2) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (in @ Y1 @ Y0 @ Y4)))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (down @ Y1 @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (barrel @ Y1 @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (old @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (dirty @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (white @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (car @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (chevy @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (lonely @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (way @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (street @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (event @ Y1 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (city @ Y0 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (hollywood @ Y0 @ Y4)))))))))))))))))) = $false) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f70])).
6.18/1.19	thf(f70,plain,(
6.18/1.19	  (((mrel @ mactual @ sK2) => ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK2) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK2) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (in @ Y1 @ Y0 @ Y4)))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (down @ Y1 @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (barrel @ Y1 @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (lonely @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (way @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (street @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (old @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (dirty @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (white @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (car @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (chevy @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (event @ Y1 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (city @ Y0 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (hollywood @ Y0 @ Y4))))))))))))))))) => (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK2) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK2) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (in @ Y1 @ Y0 @ Y4)))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (down @ Y1 @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (barrel @ Y1 @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (old @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (dirty @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (white @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (car @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (chevy @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (lonely @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (way @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (street @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (event @ Y1 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (city @ Y0 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (hollywood @ Y0 @ Y4))))))))))))))))))) = $false) | ~spl0_2),
6.18/1.19	  inference(beta_eta_normalization,[],[f69])).
6.18/1.19	thf(f69,plain,(
6.18/1.19	  (((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y0) & ((((((((((((((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (in @ Y2 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (down @ Y2 @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (barrel @ Y2 @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (lonely @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (way @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (street @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (old @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (dirty @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (white @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (car @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (chevy @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (event @ Y2 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (city @ Y1 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (hollywood @ Y1 @ Y5))))))))))))))))) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y0) & ((((((((((((((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (in @ Y2 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (down @ Y2 @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (barrel @ Y2 @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (old @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (dirty @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (white @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (car @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (chevy @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (lonely @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (way @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (street @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (event @ Y2 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (city @ Y1 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (hollywood @ Y1 @ Y5)))))))))))))))))))) @ sK2) = $false) | ~spl0_2),
6.18/1.19	  inference(sigma_clausification,[],[f67])).
6.18/1.19	thf(f67,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y0) & ((((((((((((((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (in @ Y2 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (down @ Y2 @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (barrel @ Y2 @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (lonely @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (way @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (street @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (old @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (dirty @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (white @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (car @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (chevy @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (event @ Y2 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (city @ Y1 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (hollywood @ Y1 @ Y5))))))))))))))))) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y0) & ((((((((((((((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (in @ Y2 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (down @ Y2 @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (barrel @ Y2 @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (old @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (dirty @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (white @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (car @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (chevy @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (lonely @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (way @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (street @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (event @ Y2 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (city @ Y1 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (hollywood @ Y1 @ Y5))))))))))))))))))))) = $false) | ~spl0_2),
6.18/1.19	  inference(avatar_component_clause,[],[f65])).
6.18/1.19	thf(f65,plain,(
6.18/1.19	  spl0_2 <=> ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y0) & ((((((((((((((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (in @ Y2 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (down @ Y2 @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (barrel @ Y2 @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (lonely @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (way @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (street @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (old @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (dirty @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (white @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (car @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (chevy @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (event @ Y2 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (city @ Y1 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (hollywood @ Y1 @ Y5))))))))))))))))) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y0) & ((((((((((((((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (in @ Y2 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (down @ Y2 @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (barrel @ Y2 @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (old @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (dirty @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (white @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (car @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (chevy @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (lonely @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (way @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (street @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (event @ Y2 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (city @ Y1 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (hollywood @ Y1 @ Y5))))))))))))))))))))) = $false)),
6.18/1.19	  introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
6.18/1.19	thf(f242,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ sK3 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ sK3 @ Y0)))) = $false) | (~spl0_2 | ~spl0_4)),
6.18/1.19	  inference(trivial_inequality_removal,[],[f241])).
6.18/1.19	thf(f241,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ sK3 @ Y0)))) = $false) | ($false = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ sK3 @ Y0)))) = $false) | (~spl0_2 | ~spl0_4)),
6.18/1.19	  inference(forward_demodulation,[],[f240,f84])).
6.18/1.19	thf(f84,plain,(
6.18/1.19	  ((eiw_di @ sK3 @ sK2) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f82])).
6.18/1.19	thf(f240,plain,(
6.18/1.19	  ((eiw_di @ sK3 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ sK3 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ sK3 @ Y0)))) = $false) | (~spl0_2 | ~spl0_4)),
6.18/1.19	  inference(trivial_inequality_removal,[],[f236])).
6.18/1.19	thf(f236,plain,(
6.18/1.19	  ($false = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ sK3 @ Y0)))) = $false) | ((eiw_di @ sK3 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ sK3 @ Y0)))) = $false) | (~spl0_2 | ~spl0_4)),
6.18/1.19	  inference(superposition,[],[f209,f122])).
6.18/1.19	thf(f122,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ sK3 @ Y0)))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f120])).
6.18/1.19	thf(f120,plain,(
6.18/1.19	  (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ sK3 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ sK4 @ sK6 @ Y0))))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f118])).
6.18/1.19	thf(f118,plain,(
6.18/1.19	  ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ sK3 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ sK4 @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ sK5 @ Y0))))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f116])).
6.18/1.19	thf(f116,plain,(
6.18/1.19	  (((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ sK3 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ sK4 @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ sK6 @ Y0))))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f114])).
6.18/1.19	thf(f114,plain,(
6.18/1.19	  ((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ sK3 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ sK4 @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ sK6 @ Y0))))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f112])).
6.18/1.19	thf(f112,plain,(
6.18/1.19	  (((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ sK3 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ sK4 @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ sK6 @ Y0))))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f110])).
6.18/1.19	thf(f110,plain,(
6.18/1.19	  ((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ sK3 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ sK4 @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ sK5 @ Y0))))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f108])).
6.18/1.19	thf(f108,plain,(
6.18/1.19	  (((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ sK3 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ sK4 @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ sK5 @ Y0))))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f106])).
6.18/1.19	thf(f106,plain,(
6.18/1.19	  ((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ sK3 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ sK4 @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ sK5 @ Y0))))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f104])).
6.18/1.19	thf(f104,plain,(
6.18/1.19	  (((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ sK3 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ sK4 @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ sK5 @ Y0))))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f102])).
6.18/1.19	thf(f102,plain,(
6.18/1.19	  ((((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ sK3 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ sK4 @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ sK5 @ Y0))))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f100])).
6.18/1.19	thf(f100,plain,(
6.18/1.19	  (((((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ sK3 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ sK4 @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (event @ sK4 @ Y0))))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f98])).
6.18/1.19	thf(f98,plain,(
6.18/1.19	  ((((((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ sK3 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ sK4 @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ sK6 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ sK5 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (event @ sK4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ sK3 @ Y0))))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f95])).
6.18/1.19	thf(f209,plain,(
6.18/1.19	  ( ! [X0 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ X0 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X0 @ Y0))))) | ($false = (eiw_di @ X0 @ sK2)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X0 @ Y0)))) = $false)) ) | ~spl0_4),
6.18/1.19	  inference(avatar_component_clause,[],[f208])).
6.18/1.19	thf(f208,plain,(
6.18/1.19	  spl0_4 <=> ! [X0] : (($false = (eiw_di @ X0 @ sK2)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X0 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X0 @ Y0))))))),
6.18/1.19	  introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
6.18/1.19	thf(f99,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ sK3 @ Y0)))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f98])).
6.18/1.19	thf(f229,plain,(
6.18/1.19	  ~spl0_2 | ~spl0_3),
6.18/1.19	  inference(avatar_contradiction_clause,[],[f228])).
6.18/1.19	thf(f228,plain,(
6.18/1.19	  $false | (~spl0_2 | ~spl0_3)),
6.18/1.19	  inference(trivial_inequality_removal,[],[f227])).
6.18/1.19	thf(f227,plain,(
6.18/1.19	  ($false = $true) | (~spl0_2 | ~spl0_3)),
6.18/1.19	  inference(backward_demodulation,[],[f105,f226])).
6.18/1.19	thf(f226,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ sK5 @ Y0)))) = $false) | (~spl0_2 | ~spl0_3)),
6.18/1.19	  inference(trivial_inequality_removal,[],[f225])).
6.18/1.19	thf(f225,plain,(
6.18/1.19	  ($false = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ sK5 @ Y0)))) = $false) | (~spl0_2 | ~spl0_3)),
6.18/1.19	  inference(forward_demodulation,[],[f224,f92])).
6.18/1.19	thf(f92,plain,(
6.18/1.19	  ((eiw_di @ sK5 @ sK2) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f90])).
6.18/1.19	thf(f224,plain,(
6.18/1.19	  ((eiw_di @ sK5 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ sK5 @ Y0)))) = $false) | (~spl0_2 | ~spl0_3)),
6.18/1.19	  inference(trivial_inequality_removal,[],[f223])).
6.18/1.19	thf(f223,plain,(
6.18/1.19	  ($false = $true) | ((eiw_di @ sK5 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ sK5 @ Y0)))) = $false) | (~spl0_2 | ~spl0_3)),
6.18/1.19	  inference(forward_demodulation,[],[f222,f111])).
6.18/1.19	thf(f111,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ sK5 @ Y0)))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f110])).
6.18/1.19	thf(f222,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ sK5 @ Y0)))) = $false) | ((eiw_di @ sK5 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ sK5 @ Y0)))) = $false) | (~spl0_2 | ~spl0_3)),
6.18/1.19	  inference(trivial_inequality_removal,[],[f221])).
6.18/1.19	thf(f221,plain,(
6.18/1.19	  ((eiw_di @ sK5 @ sK2) = $false) | ($false = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ sK5 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ sK5 @ Y0)))) = $false) | (~spl0_2 | ~spl0_3)),
6.18/1.19	  inference(forward_demodulation,[],[f220,f109])).
6.18/1.19	thf(f109,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ sK5 @ Y0)))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f108])).
6.18/1.19	thf(f220,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ sK5 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ sK5 @ Y0)))) = $false) | ((eiw_di @ sK5 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ sK5 @ Y0)))) = $false) | (~spl0_2 | ~spl0_3)),
6.18/1.19	  inference(trivial_inequality_removal,[],[f219])).
6.18/1.19	thf(f219,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ sK5 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ sK5 @ Y0)))) = $false) | ((eiw_di @ sK5 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ sK5 @ Y0)))) = $false) | ($false = $true) | (~spl0_2 | ~spl0_3)),
6.18/1.19	  inference(forward_demodulation,[],[f218,f107])).
6.18/1.19	thf(f107,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ sK5 @ Y0)))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f106])).
6.18/1.19	thf(f218,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ sK5 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ sK5 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ sK5 @ Y0)))) = $false) | ((eiw_di @ sK5 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ sK5 @ Y0)))) = $false) | (~spl0_2 | ~spl0_3)),
6.18/1.19	  inference(trivial_inequality_removal,[],[f217])).
6.18/1.19	thf(f217,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ sK5 @ Y0)))) = $false) | ((eiw_di @ sK5 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ sK5 @ Y0)))) = $false) | ($false = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ sK5 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ sK5 @ Y0)))) = $false) | (~spl0_2 | ~spl0_3)),
6.18/1.19	  inference(forward_demodulation,[],[f216,f103])).
6.18/1.19	thf(f103,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ sK5 @ Y0)))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f102])).
6.18/1.19	thf(f216,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ sK5 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ sK5 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ sK5 @ Y0)))) = $false) | ((eiw_di @ sK5 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ sK5 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ sK5 @ Y0)))) = $false) | (~spl0_2 | ~spl0_3)),
6.18/1.19	  inference(trivial_inequality_removal,[],[f213])).
6.18/1.19	thf(f213,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ sK5 @ Y0)))) = $false) | ($false = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ sK5 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ sK5 @ Y0)))) = $false) | ((eiw_di @ sK5 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ sK5 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ sK5 @ Y0)))) = $false) | (~spl0_2 | ~spl0_3)),
6.18/1.19	  inference(superposition,[],[f119,f206])).
6.18/1.19	thf(f206,plain,(
6.18/1.19	  ( ! [X1 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ X1 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X1 @ Y0)))) = $false)) ) | ~spl0_3),
6.18/1.19	  inference(avatar_component_clause,[],[f205])).
6.18/1.19	thf(f205,plain,(
6.18/1.19	  spl0_3 <=> ! [X1] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X1 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK2) = $false))),
6.18/1.19	  introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
6.18/1.19	thf(f119,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ sK5 @ Y0)))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f118])).
6.18/1.19	thf(f105,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ sK5 @ Y0)))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f104])).
6.18/1.19	thf(f210,plain,(
6.18/1.19	  spl0_3 | spl0_4 | ~spl0_2),
6.18/1.19	  inference(avatar_split_clause,[],[f201,f65,f208,f205])).
6.18/1.19	thf(f201,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (($false = (eiw_di @ X0 @ sK2)) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X0 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ X1 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ X0 @ Y0)))) = $false)) ) | ~spl0_2),
6.18/1.19	  inference(trivial_inequality_removal,[],[f200])).
6.18/1.19	thf(f200,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X0 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X0 @ Y0))))) | ((eiw_di @ X1 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X1 @ Y0)))) = $false) | ($false = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X1 @ Y0)))) = $false) | ($false = (eiw_di @ X0 @ sK2))) ) | ~spl0_2),
6.18/1.19	  inference(forward_demodulation,[],[f199,f117])).
6.18/1.19	thf(f117,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ sK6 @ Y0)))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f116])).
6.18/1.19	thf(f199,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ sK6 @ Y0)))) = $false) | ($false = (eiw_di @ X0 @ sK2)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X1 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X0 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X0 @ Y0)))))) ) | ~spl0_2),
6.18/1.19	  inference(trivial_inequality_removal,[],[f198])).
6.18/1.19	thf(f198,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (($false = (eiw_di @ X0 @ sK2)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X1 @ Y0)))) = $false) | ($false = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X1 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ X1 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X0 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ sK6 @ Y0)))) = $false)) ) | ~spl0_2),
6.18/1.19	  inference(forward_demodulation,[],[f197,f88])).
6.18/1.19	thf(f88,plain,(
6.18/1.19	  ((eiw_di @ sK4 @ sK2) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f86])).
6.18/1.19	thf(f197,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (((eiw_di @ sK4 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X1 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X0 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ X1 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ sK6 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ X0 @ Y0)))) = $false) | ($false = (eiw_di @ X0 @ sK2)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X1 @ Y0)))) = $false)) ) | ~spl0_2),
6.18/1.19	  inference(trivial_inequality_removal,[],[f196])).
6.18/1.19	thf(f196,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (($false = (eiw_di @ X0 @ sK2)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ sK6 @ Y0)))) = $false) | ((eiw_di @ sK4 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X1 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X1 @ Y0)))) = $false) | ($false = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X0 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X0 @ Y0)))))) ) | ~spl0_2),
6.18/1.19	  inference(forward_demodulation,[],[f195,f96])).
6.18/1.19	thf(f96,plain,(
6.18/1.19	  ((eiw_di @ sK6 @ sK2) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f94])).
6.18/1.19	thf(f195,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (((eiw_di @ sK6 @ sK2) = $false) | ((eiw_di @ sK4 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ X0 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ sK6 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ X1 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X0 @ Y0))))) | ($false = (eiw_di @ X0 @ sK2)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X0 @ Y0)))) = $false)) ) | ~spl0_2),
6.18/1.19	  inference(trivial_inequality_removal,[],[f194])).
6.18/1.19	thf(f194,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X1 @ Y0)))) = $false) | ((eiw_di @ sK6 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ X1 @ Y0)))) = $false) | ($false = (eiw_di @ X0 @ sK2)) | ((eiw_di @ X1 @ sK2) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X0 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X1 @ Y0)))) = $false) | ($false = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ sK6 @ Y0)))) = $false) | ((eiw_di @ sK4 @ sK2) = $false)) ) | ~spl0_2),
6.18/1.19	  inference(forward_demodulation,[],[f193,f115])).
6.18/1.19	thf(f115,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ sK6 @ Y0)))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f114])).
6.18/1.19	thf(f193,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ sK6 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X1 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK2) = $false) | ((eiw_di @ sK6 @ sK2) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X0 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ X1 @ Y0)))) = $false) | ((eiw_di @ sK4 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ X0 @ Y0)))) = $false) | ($false = (eiw_di @ X0 @ sK2)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ sK6 @ Y0)))) = $false)) ) | ~spl0_2),
6.18/1.19	  inference(trivial_inequality_removal,[],[f192])).
6.18/1.19	thf(f192,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X0 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ sK6 @ Y0)))) = $false) | ($false = $true) | ((eiw_di @ X1 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ sK6 @ Y0)))) = $false) | ((eiw_di @ sK6 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X1 @ Y0)))) = $false) | ($false = (eiw_di @ X0 @ sK2)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X1 @ Y0)))) = $false) | ((eiw_di @ sK4 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ X0 @ Y0)))) = $false)) ) | ~spl0_2),
6.18/1.19	  inference(forward_demodulation,[],[f191,f101])).
6.18/1.19	thf(f101,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (event @ sK4 @ Y0)))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f100])).
6.18/1.19	thf(f191,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (event @ sK4 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X1 @ Y0)))) = $false) | ((eiw_di @ sK4 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ sK6 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ sK6 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ X1 @ Y0)))) = $false) | ((eiw_di @ sK6 @ sK2) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X0 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X1 @ Y0)))) = $false) | ($false = (eiw_di @ X0 @ sK2)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X1 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK2) = $false)) ) | ~spl0_2),
6.18/1.19	  inference(trivial_inequality_removal,[],[f190])).
6.18/1.19	thf(f190,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ sK6 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X1 @ Y0)))) = $false) | ((eiw_di @ sK6 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X1 @ Y0)))) = $false) | ((eiw_di @ sK4 @ sK2) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X0 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (event @ sK4 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ sK6 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK2) = $false) | ($false = (eiw_di @ X0 @ sK2)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ X0 @ Y0)))) = $false) | ($false = $true)) ) | ~spl0_2),
6.18/1.19	  inference(forward_demodulation,[],[f189,f113])).
6.18/1.19	thf(f113,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ sK6 @ Y0)))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f112])).
6.18/1.19	thf(f189,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ sK6 @ Y0)))) = $false) | ((eiw_di @ sK4 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X1 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X0 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ sK6 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (event @ sK4 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X1 @ Y0)))) = $false) | ($false = (eiw_di @ X0 @ sK2)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ sK6 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ X0 @ Y0)))) = $false) | ((eiw_di @ sK6 @ sK2) = $false) | ((eiw_di @ X1 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X1 @ Y0)))) = $false)) ) | ~spl0_2),
6.18/1.19	  inference(trivial_inequality_removal,[],[f185])).
6.18/1.19	thf(f185,plain,(
6.18/1.19	  ( ! [X0 : $i,X1 : $i] : (((eiw_di @ sK4 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ sK6 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (event @ sK4 @ Y0)))) = $false) | ($false = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ sK6 @ Y0)))) = $false) | ($false = (eiw_di @ X0 @ sK2)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ sK4 @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ sK4 @ X0 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ sK6 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X1 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X1 @ Y0)))) = $false) | ((eiw_di @ sK6 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X1 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X0 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X1 @ Y0)))) = $false)) ) | ~spl0_2),
6.18/1.19	  inference(superposition,[],[f183,f121])).
6.18/1.19	thf(f121,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ sK4 @ sK6 @ Y0)))) = $true) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f120])).
6.18/1.19	thf(f183,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ X2 @ X3 @ Y0))))) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (event @ X2 @ Y0))))) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ X2 @ X1 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X4 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ X3 @ Y0))))) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X4 @ Y0))))) | ((eiw_di @ X4 @ sK2) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X4 @ Y0))))) | ((eiw_di @ X1 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ X3 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X4 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X4 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ X2 @ X4 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ X3 @ Y0))))) | ($false = (eiw_di @ X3 @ sK2))) ) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f182])).
6.18/1.19	thf(f182,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ X3 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X4 @ Y0)))) = $false) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ X2 @ X3 @ Y0))))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ X2 @ X4 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK2) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X4 @ Y0))))) | ((eiw_di @ X4 @ sK2) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ X3 @ Y0))))) | ((eiw_di @ X2 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ X3 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X4 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X4 @ Y0)))) = $false) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (event @ X2 @ Y0))))) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X4 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X1 @ Y0)))) = $false)) ) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f181])).
6.18/1.19	thf(f181,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ X3 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ X3 @ Y0))))) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X4 @ Y0))))) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ X3 @ Y0))))) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (event @ X2 @ Y0))))) | ((eiw_di @ X2 @ sK2) = $false) | ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ X2 @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ X2 @ X4 @ Y0))))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X4 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X4 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X4 @ Y0))))) | ($false = (eiw_di @ X3 @ sK2)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X4 @ Y0)))) = $false) | ((eiw_di @ X4 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK2) = $false)) ) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f180])).
6.18/1.19	thf(f180,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X2 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK2) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ X3 @ Y0))))) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (event @ X2 @ Y0))))) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ X3 @ Y0))))) | ((eiw_di @ X4 @ sK2) = $false) | (((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ X2 @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ X2 @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X4 @ Y0))))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X4 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X4 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ X3 @ Y0)))) = $false) | ($false = (eiw_di @ X3 @ sK2)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X4 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X4 @ Y0)))))) ) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f179])).
6.18/1.19	thf(f179,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X2 @ sK2) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ X3 @ Y0))))) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X4 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ X3 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X4 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X4 @ Y0))))) | ((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ X2 @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ X2 @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X4 @ Y0))))) = $false) | ((eiw_di @ X1 @ sK2) = $false) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (event @ X2 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ((eiw_di @ X4 @ sK2) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ X3 @ Y0)))))) ) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f178])).
6.18/1.19	thf(f178,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ X2 @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ X2 @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X4 @ Y0))))) = $false) | ((eiw_di @ X2 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ X3 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK2) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (event @ X2 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X1 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X4 @ Y0))))) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ X3 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ X3 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X4 @ Y0)))) = $false) | ((eiw_di @ X4 @ sK2) = $false) | ($false = (eiw_di @ X3 @ sK2))) ) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f177])).
6.18/1.19	thf(f177,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X2 @ sK2) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (event @ X2 @ Y0))))) | ((eiw_di @ X1 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ X3 @ Y0)))) = $false) | ((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ X2 @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ X2 @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X4 @ Y0))))) = $false) | ((eiw_di @ X4 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X4 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ X3 @ Y0))))) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ X3 @ Y0))))) | ($false = (eiw_di @ X3 @ sK2))) ) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f176])).
6.18/1.19	thf(f176,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X1 @ Y0)))) = $false) | ((eiw_di @ X4 @ sK2) = $false) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (event @ X2 @ Y0))))) | ($false = (eiw_di @ X3 @ sK2)) | ($false = ((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ X2 @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ X2 @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X4 @ Y0)))))) | ((eiw_di @ X1 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ X3 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ X3 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ X3 @ Y0)))))) ) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f175])).
6.18/1.19	thf(f175,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (event @ X2 @ Y0))))) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ X3 @ Y0))))) | ((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ X2 @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ X2 @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ X3 @ Y0))))) = $false) | ((eiw_di @ X4 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X1 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ X3 @ Y0))))) | ((eiw_di @ X1 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ($false = (eiw_di @ X3 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false)) ) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f174])).
6.18/1.19	thf(f174,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ X2 @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ X2 @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ X3 @ Y0))))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X1 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (event @ X2 @ Y0))))) | ((eiw_di @ X4 @ sK2) = $false) | ($false = (eiw_di @ X3 @ sK2)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ X3 @ Y0))))) | ((eiw_di @ X1 @ sK2) = $false)) ) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f173])).
6.18/1.19	thf(f173,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X1 @ sK2) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (event @ X2 @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ X2 @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ X2 @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ X3 @ Y0)))))) | ((eiw_di @ X4 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X1 @ Y0)))) = $false)) ) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f172])).
6.18/1.19	thf(f172,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X2 @ sK2) = $false) | ((eiw_di @ X4 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK2) = $false) | (((((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ X2 @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ X2 @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (event @ X2 @ Y0))))) = $false) | ($false = (eiw_di @ X3 @ sK2))) ) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f171])).
6.18/1.19	thf(f171,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X1 @ Y0)))) = $false) | ($false = (eiw_di @ X3 @ sK2)) | ((((((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ X2 @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ X2 @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (event @ X2 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X1 @ Y0))))) = $false) | ((eiw_di @ X1 @ sK2) = $false) | ((eiw_di @ X2 @ sK2) = $false) | ((eiw_di @ X4 @ sK2) = $false)) ) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f170])).
6.18/1.19	thf(f170,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X1 @ sK2) = $false) | ((eiw_di @ X4 @ sK2) = $false) | ($false = (eiw_di @ X3 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | (((((((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ X2 @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ X2 @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (event @ X2 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X1 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X1 @ Y0))))) = $false)) ) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f169])).
6.18/1.19	thf(f169,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X3 @ sK2)) | ((eiw_di @ X1 @ sK2) = $false) | (((eiw_di @ X4 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (in @ X2 @ X1 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (down @ X2 @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (barrel @ X2 @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (old @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (dirty @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (white @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (car @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (chevy @ X4 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (lonely @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (way @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (street @ X3 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (event @ X2 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (city @ X1 @ Y0))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (hollywood @ X1 @ Y0)))))) = $false)) ) | ~spl0_2),
6.18/1.19	  inference(beta_eta_normalization,[],[f168])).
6.18/1.19	thf(f168,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (in @ X2 @ X1 @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (down @ X2 @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (barrel @ X2 @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (old @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (dirty @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (white @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (car @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (chevy @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (lonely @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (way @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (street @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (event @ X2 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (city @ X1 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (hollywood @ X1 @ Y1))))))) @ X4) = $false) | ((eiw_di @ X1 @ sK2) = $false) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X3 @ sK2))) ) | ~spl0_2),
6.18/1.19	  inference(pi_clausification,[],[f158])).
6.18/1.19	thf(f158,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (in @ X2 @ X1 @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (down @ X2 @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (barrel @ X2 @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (old @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (dirty @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (white @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (car @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (chevy @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (lonely @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (way @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (street @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (event @ X2 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (city @ X1 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (hollywood @ X1 @ Y1)))))))) = $false) | ((eiw_di @ X1 @ sK2) = $false) | ($false = (eiw_di @ X3 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false)) ) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f157])).
6.18/1.19	thf(f157,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((eiw_di @ X3 @ sK2) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (in @ X2 @ X1 @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (down @ X2 @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (barrel @ X2 @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (old @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (dirty @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (white @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (car @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (chevy @ Y0 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (lonely @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (way @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (street @ X3 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (event @ X2 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (city @ X1 @ Y1))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (hollywood @ X1 @ Y1))))))))) = $false) | ((eiw_di @ X2 @ sK2) = $false) | ((eiw_di @ X1 @ sK2) = $false)) ) | ~spl0_2),
6.18/1.19	  inference(beta_eta_normalization,[],[f156])).
6.18/1.19	thf(f156,plain,(
6.18/1.19	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (((eiw_di @ X2 @ sK2) = $false) | (((^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (in @ X2 @ X1 @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (down @ X2 @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (barrel @ X2 @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (old @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (dirty @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (white @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (car @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (chevy @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (lonely @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (way @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (street @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (event @ X2 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (city @ X1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (hollywood @ X1 @ Y2)))))))))) @ X3) = $false) | ((eiw_di @ X1 @ sK2) = $false)) ) | ~spl0_2),
6.18/1.19	  inference(pi_clausification,[],[f80])).
6.18/1.19	thf(f80,plain,(
6.18/1.19	  ( ! [X2 : $i,X1 : $i] : (($false = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (in @ X2 @ X1 @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (down @ X2 @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (barrel @ X2 @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (old @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (dirty @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (white @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (car @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (chevy @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (lonely @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (way @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (street @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (event @ X2 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (city @ X1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (hollywood @ X1 @ Y2)))))))))))) | ((eiw_di @ X2 @ sK2) = $false) | ((eiw_di @ X1 @ sK2) = $false)) ) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f79])).
6.18/1.19	thf(f79,plain,(
6.18/1.19	  ( ! [X2 : $i,X1 : $i] : ((((eiw_di @ X2 @ sK2) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (in @ X2 @ X1 @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (down @ X2 @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (barrel @ X2 @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (old @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (dirty @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (white @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (car @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (chevy @ Y1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (lonely @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (way @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (street @ Y0 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (event @ X2 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (city @ X1 @ Y2))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (hollywood @ X1 @ Y2)))))))))))) = $false) | ((eiw_di @ X1 @ sK2) = $false)) ) | ~spl0_2),
6.18/1.19	  inference(beta_eta_normalization,[],[f78])).
6.18/1.19	thf(f78,plain,(
6.18/1.19	  ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK2) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (in @ Y0 @ X1 @ Y3)))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (down @ Y0 @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (barrel @ Y0 @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (old @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (dirty @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (white @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (car @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (chevy @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (lonely @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (way @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (street @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (event @ Y0 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (city @ X1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (hollywood @ X1 @ Y3))))))))))))) @ X2) = $false) | ((eiw_di @ X1 @ sK2) = $false)) ) | ~spl0_2),
6.18/1.19	  inference(pi_clausification,[],[f77])).
6.18/1.19	thf(f77,plain,(
6.18/1.19	  ( ! [X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK2) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (in @ Y0 @ X1 @ Y3)))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (down @ Y0 @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (barrel @ Y0 @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (old @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (dirty @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (white @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (car @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (chevy @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (lonely @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (way @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (street @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (event @ Y0 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (city @ X1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (hollywood @ X1 @ Y3)))))))))))))) = $false) | ((eiw_di @ X1 @ sK2) = $false)) ) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f76])).
6.18/1.19	thf(f76,plain,(
6.18/1.19	  ( ! [X1 : $i] : ((((eiw_di @ X1 @ sK2) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK2) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (in @ Y0 @ X1 @ Y3)))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (down @ Y0 @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (barrel @ Y0 @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (old @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (dirty @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (white @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (car @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (chevy @ Y2 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (lonely @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (way @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (street @ Y1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (event @ Y0 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (city @ X1 @ Y3))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (hollywood @ X1 @ Y3))))))))))))))) = $false)) ) | ~spl0_2),
6.18/1.19	  inference(beta_eta_normalization,[],[f75])).
6.18/1.19	thf(f75,plain,(
6.18/1.19	  ( ! [X1 : $i] : (($false = ((^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK2) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK2) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (in @ Y1 @ Y0 @ Y4)))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (down @ Y1 @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (barrel @ Y1 @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (old @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (dirty @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (white @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (car @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (chevy @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (lonely @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (way @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (street @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (event @ Y1 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (city @ Y0 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (hollywood @ Y0 @ Y4)))))))))))))))) @ X1))) ) | ~spl0_2),
6.18/1.19	  inference(pi_clausification,[],[f73])).
6.18/1.19	thf(f73,plain,(
6.18/1.19	  ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ sK2) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ sK2) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ sK2) & ((((((((((((((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (in @ Y1 @ Y0 @ Y4)))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (down @ Y1 @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (barrel @ Y1 @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (old @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (dirty @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (white @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (car @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (chevy @ Y3 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (lonely @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (way @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (street @ Y2 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (event @ Y1 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (city @ Y0 @ Y4))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (hollywood @ Y0 @ Y4))))))))))))))))) = $false) | ~spl0_2),
6.18/1.19	  inference(binary_proxy_clausification,[],[f71])).
6.18/1.19	thf(f68,plain,(
6.18/1.19	  spl0_1 | spl0_2),
6.18/1.19	  inference(avatar_split_clause,[],[f59,f65,f61])).
6.18/1.19	thf(f59,plain,(
6.18/1.19	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y0) & ((((((((((((((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (in @ Y2 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (down @ Y2 @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (barrel @ Y2 @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (old @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (dirty @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (white @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (car @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (chevy @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (lonely @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (way @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (street @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (event @ Y2 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (city @ Y1 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (hollywood @ Y1 @ Y5))))))))))))))))) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y0) & ((((((((((((((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (in @ Y2 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (down @ Y2 @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (barrel @ Y2 @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (lonely @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (way @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (street @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (old @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (dirty @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (white @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (car @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (chevy @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (event @ Y2 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (city @ Y1 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (hollywood @ Y1 @ Y5))))))))))))))))))))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y0) & ((((((((((((((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (in @ Y2 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (down @ Y2 @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (barrel @ Y2 @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (lonely @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (way @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (street @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (old @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (dirty @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (white @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (car @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (chevy @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (event @ Y2 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (city @ Y1 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (hollywood @ Y1 @ Y5))))))))))))))))) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y0) & ((((((((((((((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (in @ Y2 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (down @ Y2 @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (barrel @ Y2 @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (old @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (dirty @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (white @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (car @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (chevy @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (lonely @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (way @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (street @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (event @ Y2 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (city @ Y1 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (hollywood @ Y1 @ Y5))))))))))))))))))))) = $false)),
6.18/1.19	  inference(binary_proxy_clausification,[],[f58])).
6.18/1.19	thf(f58,plain,(
6.18/1.19	  (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y0) & ((((((((((((((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (in @ Y2 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (down @ Y2 @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (barrel @ Y2 @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (lonely @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (way @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (street @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (old @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (dirty @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (white @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (car @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (chevy @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (event @ Y2 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (city @ Y1 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (hollywood @ Y1 @ Y5))))))))))))))))) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y0) & ((((((((((((((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (in @ Y2 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (down @ Y2 @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (barrel @ Y2 @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (old @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (dirty @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (white @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (car @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (chevy @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (lonely @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (way @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (street @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (event @ Y2 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (city @ Y1 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (hollywood @ Y1 @ Y5))))))))))))))))))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y0) & ((((((((((((((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (in @ Y2 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (down @ Y2 @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (barrel @ Y2 @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (old @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (dirty @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (white @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (car @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (chevy @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (lonely @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (way @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (street @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (event @ Y2 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (city @ Y1 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (hollywood @ Y1 @ Y5))))))))))))))))) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y0) & ((((((((((((((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (in @ Y2 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (down @ Y2 @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (barrel @ Y2 @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (lonely @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (way @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (street @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (old @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (dirty @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (white @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (car @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (chevy @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (event @ Y2 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (city @ Y1 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (hollywood @ Y1 @ Y5)))))))))))))))))))))) = $false)),
6.18/1.19	  inference(not_proxy_clausification,[],[f57])).
6.18/1.19	thf(f57,plain,(
6.18/1.19	  ((~ ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y0) & ((((((((((((((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (in @ Y2 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (down @ Y2 @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (barrel @ Y2 @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (lonely @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (way @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (street @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (old @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (dirty @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (white @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (car @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (chevy @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (event @ Y2 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (city @ Y1 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (hollywood @ Y1 @ Y5))))))))))))))))) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y0) & ((((((((((((((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (in @ Y2 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (down @ Y2 @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (barrel @ Y2 @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (old @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (dirty @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (white @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (car @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (chevy @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (lonely @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (way @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (street @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (event @ Y2 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (city @ Y1 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (hollywood @ Y1 @ Y5))))))))))))))))))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y0) & ((((((((((((((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (in @ Y2 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (down @ Y2 @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (barrel @ Y2 @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (old @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (dirty @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (white @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (car @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (chevy @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (lonely @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (way @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (street @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (event @ Y2 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (city @ Y1 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (hollywood @ Y1 @ Y5))))))))))))))))) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y0) & ((((((((((((((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (in @ Y2 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (down @ Y2 @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (barrel @ Y2 @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (lonely @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (way @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (street @ Y4 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (old @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (dirty @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (white @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (car @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (chevy @ Y3 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (event @ Y2 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (city @ Y1 @ Y5))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (hollywood @ Y1 @ Y5))))))))))))))))))))))) = $true)),
6.18/1.19	  inference(beta_eta_normalization,[],[f55])).
6.18/1.19	thf(f55,plain,(
6.18/1.19	  ((~ ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) & (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) & (Y2 @ Y4 @ Y3))))))) @ (^[Y2 : $i]: ((^[Y3 : $i > mworld > $o]: ((^[Y4 : mworld]: (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ Y4) & (Y3 @ Y5 @ Y4))))))) @ (^[Y3 : $i]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (hollywood @ Y0)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (city @ Y0)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (event @ Y1)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (street @ Y2)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (way @ Y2)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (lonely @ Y2)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (chevy @ Y3)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (car @ Y3)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (white @ Y3)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (dirty @ Y3)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (old @ Y3)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (barrel @ Y1 @ Y3)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (down @ Y1 @ Y2)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (in @ Y1 @ Y0))))))))))))))))))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) & (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) & (Y2 @ Y4 @ Y3))))))) @ (^[Y2 : $i]: ((^[Y3 : $i > mworld > $o]: ((^[Y4 : mworld]: (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ Y4) & (Y3 @ Y5 @ Y4))))))) @ (^[Y3 : $i]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (hollywood @ Y0)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (city @ Y0)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (event @ Y1)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (chevy @ Y2)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (car @ Y2)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (white @ Y2)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (dirty @ Y2)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (old @ Y2)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (street @ Y3)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (way @ Y3)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (lonely @ Y3)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (barrel @ Y1 @ Y2)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (down @ Y1 @ Y3)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (in @ Y1 @ Y0))))))))))))))))))))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) & (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) & (Y2 @ Y4 @ Y3))))))) @ (^[Y2 : $i]: ((^[Y3 : $i > mworld > $o]: ((^[Y4 : mworld]: (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ Y4) & (Y3 @ Y5 @ Y4))))))) @ (^[Y3 : $i]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (hollywood @ Y0)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (city @ Y0)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (event @ Y1)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (chevy @ Y2)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (car @ Y2)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (white @ Y2)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (dirty @ Y2)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (old @ Y2)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (street @ Y3)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (way @ Y3)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (lonely @ Y3)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (barrel @ Y1 @ Y2)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (down @ Y1 @ Y3)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (in @ Y1 @ Y0))))))))))))))))))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) & (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) & (Y2 @ Y4 @ Y3))))))) @ (^[Y2 : $i]: ((^[Y3 : $i > mworld > $o]: ((^[Y4 : mworld]: (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ Y4) & (Y3 @ Y5 @ Y4))))))) @ (^[Y3 : $i]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (hollywood @ Y0)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (city @ Y0)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (event @ Y1)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (street @ Y2)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (way @ Y2)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (lonely @ Y2)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (chevy @ Y3)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (car @ Y3)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (white @ Y3)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (dirty @ Y3)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (old @ Y3)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (barrel @ Y1 @ Y3)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (down @ Y1 @ Y2)) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ (in @ Y1 @ Y0)))))))))))))))))))))))))))) = $true)),
6.18/1.19	  inference(definition_unfolding,[],[f46,f52,f44,f45,f53,f47,f47,f47,f47,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f45,f47,f47,f47,f47,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f45,f45,f53,f47,f47,f47,f47,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f45,f47,f47,f47,f47,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f44,f45,f45])).
6.18/1.19	thf(f47,plain,(
6.18/1.19	  (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))))),
6.18/1.19	  inference(cnf_transformation,[],[f17])).
6.18/1.19	thf(f17,plain,(
6.18/1.19	  (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))))),
6.18/1.19	  inference(fool_elimination,[],[f16])).
6.18/1.19	thf(f16,plain,(
6.18/1.19	  (mexists_di = (^[X0 : $i > mworld > $o, X1 : mworld] : (? [X2] : ((X0 @ X2 @ X1) & (eiw_di @ X2 @ X1)))))),
6.18/1.19	  inference(rectify,[],[f10])).
6.18/1.19	thf(f10,axiom,(
6.18/1.19	  (mexists_di = (^[X1 : $i > mworld > $o, X2 : mworld] : (? [X5] : ((X1 @ X5 @ X2) & (eiw_di @ X5 @ X2)))))),
6.18/1.19	  file('/export/starexec/sandbox/tmp/tmp.NDla5YzjEU/Vampire---4.8_30204',mexists_di_def)).
6.18/1.19	thf(f53,plain,(
6.18/1.19	  (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
6.18/1.19	  inference(cnf_transformation,[],[f19])).
6.18/1.19	thf(f19,plain,(
6.18/1.19	  (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
6.18/1.19	  inference(fool_elimination,[],[f18])).
6.18/1.19	thf(f18,plain,(
6.18/1.19	  ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))) = mimplies)),
6.18/1.19	  inference(rectify,[],[f5])).
6.18/1.19	thf(f5,axiom,(
6.18/1.19	  ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))) = mimplies)),
6.18/1.19	  file('/export/starexec/sandbox/tmp/tmp.NDla5YzjEU/Vampire---4.8_30204',mimplies_def)).
6.18/1.19	thf(f45,plain,(
6.18/1.19	  (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
6.18/1.19	  inference(cnf_transformation,[],[f27])).
6.18/1.19	thf(f27,plain,(
6.18/1.19	  (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
6.18/1.19	  inference(fool_elimination,[],[f26])).
6.18/1.19	thf(f26,plain,(
6.18/1.19	  (mbox = (^[X0 : mworld > $o, X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))))),
6.18/1.19	  inference(rectify,[],[f7])).
6.18/1.19	thf(f7,axiom,(
6.18/1.19	  (mbox = (^[X0 : mworld > $o, X2 : mworld] : (! [X4 : mworld] : ((mrel @ X2 @ X4) => (X0 @ X4)))))),
6.18/1.19	  file('/export/starexec/sandbox/tmp/tmp.NDla5YzjEU/Vampire---4.8_30204',mbox_def)).
6.18/1.19	thf(f44,plain,(
6.18/1.19	  (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
6.18/1.19	  inference(cnf_transformation,[],[f31])).
6.18/1.19	thf(f31,plain,(
6.18/1.19	  (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
6.18/1.19	  inference(fool_elimination,[],[f30])).
6.18/1.19	thf(f30,plain,(
6.18/1.19	  (mand = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) & (X1 @ X2))))),
6.18/1.19	  inference(rectify,[],[f3])).
6.18/1.19	thf(f3,axiom,(
6.18/1.19	  (mand = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X3 @ X2))))),
6.18/1.19	  file('/export/starexec/sandbox/tmp/tmp.NDla5YzjEU/Vampire---4.8_30204',mand_def)).
6.18/1.19	thf(f52,plain,(
6.18/1.19	  (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
6.18/1.19	  inference(cnf_transformation,[],[f34])).
6.18/1.19	thf(f34,plain,(
6.18/1.19	  (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
6.18/1.19	  inference(fool_elimination,[],[f1])).
6.18/1.19	thf(f1,axiom,(
6.18/1.19	  ((^[X0 : mworld > $o] : (X0 @ mactual)) = mlocal)),
6.18/1.19	  file('/export/starexec/sandbox/tmp/tmp.NDla5YzjEU/Vampire---4.8_30204',mlocal_def)).
6.18/1.19	thf(f46,plain,(
6.18/1.19	  ((~ (mlocal @ (mand @ (mbox @ (mimplies @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (mbox @ (hollywood @ Y0)) @ (mand @ (mbox @ (city @ Y0)) @ (mand @ (mbox @ (event @ Y1)) @ (mand @ (mbox @ (street @ Y2)) @ (mand @ (mbox @ (way @ Y2)) @ (mand @ (mbox @ (lonely @ Y2)) @ (mand @ (mbox @ (chevy @ Y3)) @ (mand @ (mbox @ (car @ Y3)) @ (mand @ (mbox @ (white @ Y3)) @ (mand @ (mbox @ (dirty @ Y3)) @ (mand @ (mbox @ (old @ Y3)) @ (mand @ (mbox @ (barrel @ Y1 @ Y3)) @ (mand @ (mbox @ (down @ Y1 @ Y2)) @ (mbox @ (in @ Y1 @ Y0))))))))))))))))))))))) @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (mbox @ (hollywood @ Y0)) @ (mand @ (mbox @ (city @ Y0)) @ (mand @ (mbox @ (event @ Y1)) @ (mand @ (mbox @ (chevy @ Y2)) @ (mand @ (mbox @ (car @ Y2)) @ (mand @ (mbox @ (white @ Y2)) @ (mand @ (mbox @ (dirty @ Y2)) @ (mand @ (mbox @ (old @ Y2)) @ (mand @ (mbox @ (street @ Y3)) @ (mand @ (mbox @ (way @ Y3)) @ (mand @ (mbox @ (lonely @ Y3)) @ (mand @ (mbox @ (barrel @ Y1 @ Y2)) @ (mand @ (mbox @ (down @ Y1 @ Y3)) @ (mbox @ (in @ Y1 @ Y0))))))))))))))))))))))))) @ (mbox @ (mimplies @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (mbox @ (hollywood @ Y0)) @ (mand @ (mbox @ (city @ Y0)) @ (mand @ (mbox @ (event @ Y1)) @ (mand @ (mbox @ (chevy @ Y2)) @ (mand @ (mbox @ (car @ Y2)) @ (mand @ (mbox @ (white @ Y2)) @ (mand @ (mbox @ (dirty @ Y2)) @ (mand @ (mbox @ (old @ Y2)) @ (mand @ (mbox @ (street @ Y3)) @ (mand @ (mbox @ (way @ Y3)) @ (mand @ (mbox @ (lonely @ Y3)) @ (mand @ (mbox @ (barrel @ Y1 @ Y2)) @ (mand @ (mbox @ (down @ Y1 @ Y3)) @ (mbox @ (in @ Y1 @ Y0))))))))))))))))))))))) @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (mbox @ (hollywood @ Y0)) @ (mand @ (mbox @ (city @ Y0)) @ (mand @ (mbox @ (event @ Y1)) @ (mand @ (mbox @ (street @ Y2)) @ (mand @ (mbox @ (way @ Y2)) @ (mand @ (mbox @ (lonely @ Y2)) @ (mand @ (mbox @ (chevy @ Y3)) @ (mand @ (mbox @ (car @ Y3)) @ (mand @ (mbox @ (white @ Y3)) @ (mand @ (mbox @ (dirty @ Y3)) @ (mand @ (mbox @ (old @ Y3)) @ (mand @ (mbox @ (barrel @ Y1 @ Y3)) @ (mand @ (mbox @ (down @ Y1 @ Y2)) @ (mbox @ (in @ Y1 @ Y0)))))))))))))))))))))))))))) = $true)),
6.18/1.19	  inference(cnf_transformation,[],[f36])).
6.18/1.19	thf(f36,plain,(
6.18/1.19	  ((~ (mlocal @ (mand @ (mbox @ (mimplies @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (mbox @ (hollywood @ Y0)) @ (mand @ (mbox @ (city @ Y0)) @ (mand @ (mbox @ (event @ Y1)) @ (mand @ (mbox @ (street @ Y2)) @ (mand @ (mbox @ (way @ Y2)) @ (mand @ (mbox @ (lonely @ Y2)) @ (mand @ (mbox @ (chevy @ Y3)) @ (mand @ (mbox @ (car @ Y3)) @ (mand @ (mbox @ (white @ Y3)) @ (mand @ (mbox @ (dirty @ Y3)) @ (mand @ (mbox @ (old @ Y3)) @ (mand @ (mbox @ (barrel @ Y1 @ Y3)) @ (mand @ (mbox @ (down @ Y1 @ Y2)) @ (mbox @ (in @ Y1 @ Y0))))))))))))))))))))))) @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (mbox @ (hollywood @ Y0)) @ (mand @ (mbox @ (city @ Y0)) @ (mand @ (mbox @ (event @ Y1)) @ (mand @ (mbox @ (chevy @ Y2)) @ (mand @ (mbox @ (car @ Y2)) @ (mand @ (mbox @ (white @ Y2)) @ (mand @ (mbox @ (dirty @ Y2)) @ (mand @ (mbox @ (old @ Y2)) @ (mand @ (mbox @ (street @ Y3)) @ (mand @ (mbox @ (way @ Y3)) @ (mand @ (mbox @ (lonely @ Y3)) @ (mand @ (mbox @ (barrel @ Y1 @ Y2)) @ (mand @ (mbox @ (down @ Y1 @ Y3)) @ (mbox @ (in @ Y1 @ Y0))))))))))))))))))))))))) @ (mbox @ (mimplies @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (mbox @ (hollywood @ Y0)) @ (mand @ (mbox @ (city @ Y0)) @ (mand @ (mbox @ (event @ Y1)) @ (mand @ (mbox @ (chevy @ Y2)) @ (mand @ (mbox @ (car @ Y2)) @ (mand @ (mbox @ (white @ Y2)) @ (mand @ (mbox @ (dirty @ Y2)) @ (mand @ (mbox @ (old @ Y2)) @ (mand @ (mbox @ (street @ Y3)) @ (mand @ (mbox @ (way @ Y3)) @ (mand @ (mbox @ (lonely @ Y3)) @ (mand @ (mbox @ (barrel @ Y1 @ Y2)) @ (mand @ (mbox @ (down @ Y1 @ Y3)) @ (mbox @ (in @ Y1 @ Y0))))))))))))))))))))))) @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (mbox @ (hollywood @ Y0)) @ (mand @ (mbox @ (city @ Y0)) @ (mand @ (mbox @ (event @ Y1)) @ (mand @ (mbox @ (street @ Y2)) @ (mand @ (mbox @ (way @ Y2)) @ (mand @ (mbox @ (lonely @ Y2)) @ (mand @ (mbox @ (chevy @ Y3)) @ (mand @ (mbox @ (car @ Y3)) @ (mand @ (mbox @ (white @ Y3)) @ (mand @ (mbox @ (dirty @ Y3)) @ (mand @ (mbox @ (old @ Y3)) @ (mand @ (mbox @ (barrel @ Y1 @ Y3)) @ (mand @ (mbox @ (down @ Y1 @ Y2)) @ (mbox @ (in @ Y1 @ Y0)))))))))))))))))))))))))))) = $true)),
6.18/1.19	  inference(fool_elimination,[],[f35])).
6.18/1.19	thf(f35,plain,(
6.18/1.19	  ~(mlocal @ (mand @ (mbox @ (mimplies @ (mexists_di @ (^[X0 : $i] : (mexists_di @ (^[X1 : $i] : (mexists_di @ (^[X2 : $i] : (mexists_di @ (^[X3 : $i] : (mand @ (mbox @ (hollywood @ X0)) @ (mand @ (mbox @ (city @ X0)) @ (mand @ (mbox @ (event @ X1)) @ (mand @ (mbox @ (street @ X2)) @ (mand @ (mbox @ (way @ X2)) @ (mand @ (mbox @ (lonely @ X2)) @ (mand @ (mbox @ (chevy @ X3)) @ (mand @ (mbox @ (car @ X3)) @ (mand @ (mbox @ (white @ X3)) @ (mand @ (mbox @ (dirty @ X3)) @ (mand @ (mbox @ (old @ X3)) @ (mand @ (mbox @ (barrel @ X1 @ X3)) @ (mand @ (mbox @ (down @ X1 @ X2)) @ (mbox @ (in @ X1 @ X0))))))))))))))))))))))) @ (mexists_di @ (^[X4 : $i] : (mexists_di @ (^[X5 : $i] : (mexists_di @ (^[X6 : $i] : (mexists_di @ (^[X7 : $i] : (mand @ (mbox @ (hollywood @ X4)) @ (mand @ (mbox @ (city @ X4)) @ (mand @ (mbox @ (event @ X5)) @ (mand @ (mbox @ (chevy @ X6)) @ (mand @ (mbox @ (car @ X6)) @ (mand @ (mbox @ (white @ X6)) @ (mand @ (mbox @ (dirty @ X6)) @ (mand @ (mbox @ (old @ X6)) @ (mand @ (mbox @ (street @ X7)) @ (mand @ (mbox @ (way @ X7)) @ (mand @ (mbox @ (lonely @ X7)) @ (mand @ (mbox @ (barrel @ X5 @ X6)) @ (mand @ (mbox @ (down @ X5 @ X7)) @ (mbox @ (in @ X5 @ X4))))))))))))))))))))))))) @ (mbox @ (mimplies @ (mexists_di @ (^[X8 : $i] : (mexists_di @ (^[X9 : $i] : (mexists_di @ (^[X10 : $i] : (mexists_di @ (^[X11 : $i] : (mand @ (mbox @ (hollywood @ X8)) @ (mand @ (mbox @ (city @ X8)) @ (mand @ (mbox @ (event @ X9)) @ (mand @ (mbox @ (chevy @ X10)) @ (mand @ (mbox @ (car @ X10)) @ (mand @ (mbox @ (white @ X10)) @ (mand @ (mbox @ (dirty @ X10)) @ (mand @ (mbox @ (old @ X10)) @ (mand @ (mbox @ (street @ X11)) @ (mand @ (mbox @ (way @ X11)) @ (mand @ (mbox @ (lonely @ X11)) @ (mand @ (mbox @ (barrel @ X9 @ X10)) @ (mand @ (mbox @ (down @ X9 @ X11)) @ (mbox @ (in @ X9 @ X8))))))))))))))))))))))) @ (mexists_di @ (^[X12 : $i] : (mexists_di @ (^[X13 : $i] : (mexists_di @ (^[X14 : $i] : (mexists_di @ (^[X15 : $i] : (mand @ (mbox @ (hollywood @ X12)) @ (mand @ (mbox @ (city @ X12)) @ (mand @ (mbox @ (event @ X13)) @ (mand @ (mbox @ (street @ X14)) @ (mand @ (mbox @ (way @ X14)) @ (mand @ (mbox @ (lonely @ X14)) @ (mand @ (mbox @ (chevy @ X15)) @ (mand @ (mbox @ (car @ X15)) @ (mand @ (mbox @ (white @ X15)) @ (mand @ (mbox @ (dirty @ X15)) @ (mand @ (mbox @ (old @ X15)) @ (mand @ (mbox @ (barrel @ X13 @ X15)) @ (mand @ (mbox @ (down @ X13 @ X14)) @ (mbox @ (in @ X13 @ X12)))))))))))))))))))))))))))),
6.18/1.19	  inference(rectify,[],[f13])).
6.18/1.19	thf(f13,negated_conjecture,(
6.18/1.19	  ~(mlocal @ (mand @ (mbox @ (mimplies @ (mexists_di @ (^[X6 : $i] : (mexists_di @ (^[X4 : $i] : (mexists_di @ (^[X2 : $i] : (mexists_di @ (^[X5 : $i] : (mand @ (mbox @ (hollywood @ X6)) @ (mand @ (mbox @ (city @ X6)) @ (mand @ (mbox @ (event @ X4)) @ (mand @ (mbox @ (street @ X2)) @ (mand @ (mbox @ (way @ X2)) @ (mand @ (mbox @ (lonely @ X2)) @ (mand @ (mbox @ (chevy @ X5)) @ (mand @ (mbox @ (car @ X5)) @ (mand @ (mbox @ (white @ X5)) @ (mand @ (mbox @ (dirty @ X5)) @ (mand @ (mbox @ (old @ X5)) @ (mand @ (mbox @ (barrel @ X4 @ X5)) @ (mand @ (mbox @ (down @ X4 @ X2)) @ (mbox @ (in @ X4 @ X6))))))))))))))))))))))) @ (mexists_di @ (^[X7 : $i] : (mexists_di @ (^[X8 : $i] : (mexists_di @ (^[X9 : $i] : (mexists_di @ (^[X10 : $i] : (mand @ (mbox @ (hollywood @ X7)) @ (mand @ (mbox @ (city @ X7)) @ (mand @ (mbox @ (event @ X8)) @ (mand @ (mbox @ (chevy @ X9)) @ (mand @ (mbox @ (car @ X9)) @ (mand @ (mbox @ (white @ X9)) @ (mand @ (mbox @ (dirty @ X9)) @ (mand @ (mbox @ (old @ X9)) @ (mand @ (mbox @ (street @ X10)) @ (mand @ (mbox @ (way @ X10)) @ (mand @ (mbox @ (lonely @ X10)) @ (mand @ (mbox @ (barrel @ X8 @ X9)) @ (mand @ (mbox @ (down @ X8 @ X10)) @ (mbox @ (in @ X8 @ X7))))))))))))))))))))))))) @ (mbox @ (mimplies @ (mexists_di @ (^[X11 : $i] : (mexists_di @ (^[X12 : $i] : (mexists_di @ (^[X13 : $i] : (mexists_di @ (^[X14 : $i] : (mand @ (mbox @ (hollywood @ X11)) @ (mand @ (mbox @ (city @ X11)) @ (mand @ (mbox @ (event @ X12)) @ (mand @ (mbox @ (chevy @ X13)) @ (mand @ (mbox @ (car @ X13)) @ (mand @ (mbox @ (white @ X13)) @ (mand @ (mbox @ (dirty @ X13)) @ (mand @ (mbox @ (old @ X13)) @ (mand @ (mbox @ (street @ X14)) @ (mand @ (mbox @ (way @ X14)) @ (mand @ (mbox @ (lonely @ X14)) @ (mand @ (mbox @ (barrel @ X12 @ X13)) @ (mand @ (mbox @ (down @ X12 @ X14)) @ (mbox @ (in @ X12 @ X11))))))))))))))))))))))) @ (mexists_di @ (^[X15 : $i] : (mexists_di @ (^[X16 : $i] : (mexists_di @ (^[X17 : $i] : (mexists_di @ (^[X18 : $i] : (mand @ (mbox @ (hollywood @ X15)) @ (mand @ (mbox @ (city @ X15)) @ (mand @ (mbox @ (event @ X16)) @ (mand @ (mbox @ (street @ X17)) @ (mand @ (mbox @ (way @ X17)) @ (mand @ (mbox @ (lonely @ X17)) @ (mand @ (mbox @ (chevy @ X18)) @ (mand @ (mbox @ (car @ X18)) @ (mand @ (mbox @ (white @ X18)) @ (mand @ (mbox @ (dirty @ X18)) @ (mand @ (mbox @ (old @ X18)) @ (mand @ (mbox @ (barrel @ X16 @ X18)) @ (mand @ (mbox @ (down @ X16 @ X17)) @ (mbox @ (in @ X16 @ X15)))))))))))))))))))))))))))),
6.18/1.19	  inference(negated_conjecture,[],[f12])).
6.18/1.19	thf(f12,conjecture,(
6.18/1.19	  (mlocal @ (mand @ (mbox @ (mimplies @ (mexists_di @ (^[X6 : $i] : (mexists_di @ (^[X4 : $i] : (mexists_di @ (^[X2 : $i] : (mexists_di @ (^[X5 : $i] : (mand @ (mbox @ (hollywood @ X6)) @ (mand @ (mbox @ (city @ X6)) @ (mand @ (mbox @ (event @ X4)) @ (mand @ (mbox @ (street @ X2)) @ (mand @ (mbox @ (way @ X2)) @ (mand @ (mbox @ (lonely @ X2)) @ (mand @ (mbox @ (chevy @ X5)) @ (mand @ (mbox @ (car @ X5)) @ (mand @ (mbox @ (white @ X5)) @ (mand @ (mbox @ (dirty @ X5)) @ (mand @ (mbox @ (old @ X5)) @ (mand @ (mbox @ (barrel @ X4 @ X5)) @ (mand @ (mbox @ (down @ X4 @ X2)) @ (mbox @ (in @ X4 @ X6))))))))))))))))))))))) @ (mexists_di @ (^[X7 : $i] : (mexists_di @ (^[X8 : $i] : (mexists_di @ (^[X9 : $i] : (mexists_di @ (^[X10 : $i] : (mand @ (mbox @ (hollywood @ X7)) @ (mand @ (mbox @ (city @ X7)) @ (mand @ (mbox @ (event @ X8)) @ (mand @ (mbox @ (chevy @ X9)) @ (mand @ (mbox @ (car @ X9)) @ (mand @ (mbox @ (white @ X9)) @ (mand @ (mbox @ (dirty @ X9)) @ (mand @ (mbox @ (old @ X9)) @ (mand @ (mbox @ (street @ X10)) @ (mand @ (mbox @ (way @ X10)) @ (mand @ (mbox @ (lonely @ X10)) @ (mand @ (mbox @ (barrel @ X8 @ X9)) @ (mand @ (mbox @ (down @ X8 @ X10)) @ (mbox @ (in @ X8 @ X7))))))))))))))))))))))))) @ (mbox @ (mimplies @ (mexists_di @ (^[X11 : $i] : (mexists_di @ (^[X12 : $i] : (mexists_di @ (^[X13 : $i] : (mexists_di @ (^[X14 : $i] : (mand @ (mbox @ (hollywood @ X11)) @ (mand @ (mbox @ (city @ X11)) @ (mand @ (mbox @ (event @ X12)) @ (mand @ (mbox @ (chevy @ X13)) @ (mand @ (mbox @ (car @ X13)) @ (mand @ (mbox @ (white @ X13)) @ (mand @ (mbox @ (dirty @ X13)) @ (mand @ (mbox @ (old @ X13)) @ (mand @ (mbox @ (street @ X14)) @ (mand @ (mbox @ (way @ X14)) @ (mand @ (mbox @ (lonely @ X14)) @ (mand @ (mbox @ (barrel @ X12 @ X13)) @ (mand @ (mbox @ (down @ X12 @ X14)) @ (mbox @ (in @ X12 @ X11))))))))))))))))))))))) @ (mexists_di @ (^[X15 : $i] : (mexists_di @ (^[X16 : $i] : (mexists_di @ (^[X17 : $i] : (mexists_di @ (^[X18 : $i] : (mand @ (mbox @ (hollywood @ X15)) @ (mand @ (mbox @ (city @ X15)) @ (mand @ (mbox @ (event @ X16)) @ (mand @ (mbox @ (street @ X17)) @ (mand @ (mbox @ (way @ X17)) @ (mand @ (mbox @ (lonely @ X17)) @ (mand @ (mbox @ (chevy @ X18)) @ (mand @ (mbox @ (car @ X18)) @ (mand @ (mbox @ (white @ X18)) @ (mand @ (mbox @ (dirty @ X18)) @ (mand @ (mbox @ (old @ X18)) @ (mand @ (mbox @ (barrel @ X16 @ X18)) @ (mand @ (mbox @ (down @ X16 @ X17)) @ (mbox @ (in @ X16 @ X15)))))))))))))))))))))))))))),
6.18/1.19	  file('/export/starexec/sandbox/tmp/tmp.NDla5YzjEU/Vampire---4.8_30204',co1)).
6.18/1.19	% SZS output end Proof for Vampire---4
6.18/1.19	% (30651)------------------------------
6.18/1.19	% (30651)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
6.18/1.19	% (30651)Termination reason: Refutation
6.18/1.19	
6.18/1.19	% (30651)Memory used [KB]: 8059
6.18/1.19	% (30651)Time elapsed: 0.157 s
6.18/1.19	% (30651)Instructions burned: 473 (million)
6.18/1.19	% (30651)------------------------------
6.18/1.19	% (30651)------------------------------
6.18/1.19	% (30457)Success in time 0.813 s
6.18/1.20	% Vampire---4.8 exiting
6.18/1.20	EOF