0.11/0.12	% Problem    : Vampire---4.8_10501 : TPTP v0.0.0. Released v0.0.0.
0.11/0.13	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.13/0.34	% Computer : n003.cluster.edu
0.13/0.34	% Model    : x86_64 x86_64
0.13/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory   : 8042.1875MB
0.13/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 1440
0.13/0.34	% WCLimit    : 180
0.13/0.34	% DateTime   : Mon Jul  3 12:53:31 EDT 2023
0.13/0.34	% CPUTime    : 
0.13/0.34	This is a THF_ problem
0.13/0.34	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/sandbox2/tmp/tmp.haUeqWV7C3/Vampire---4.8_10501 -m 12000  -t 180
0.13/0.36	% (10744)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)
0.13/0.36	% (10736)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi)
0.13/0.36	% (10737)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi)
0.13/0.36	% (10738)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)
0.13/0.36	% (10740)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi)
0.13/0.36	% (10741)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)
0.13/0.36	% (10739)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)
0.13/0.36	% (10742)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)
0.13/0.37	% (10744)Refutation not found, incomplete strategy
0.13/0.37	% (10744)------------------------------
0.13/0.37	% (10744)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.13/0.37	% (10744)Termination reason: Refutation not found, incomplete strategy
0.13/0.37	
0.13/0.37	
0.13/0.37	% (10744)Memory used [KB]: 5628
0.13/0.37	% (10744)Time elapsed: 0.007 s
0.13/0.37	% (10744)Instructions burned: 13 (million)
0.13/0.37	% (10744)------------------------------
0.13/0.37	% (10744)------------------------------
0.13/0.37	% (10742)Instruction limit reached!
0.13/0.37	% (10742)------------------------------
0.13/0.37	% (10742)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.13/0.37	% (10742)Termination reason: Unknown
0.13/0.37	% (10742)Termination phase: shuffling
0.13/0.37	
0.13/0.37	% (10742)Memory used [KB]: 1151
0.13/0.37	% (10742)Time elapsed: 0.005 s
0.13/0.37	% (10742)Instructions burned: 5 (million)
0.13/0.37	% (10742)------------------------------
0.13/0.37	% (10742)------------------------------
0.13/0.37	% (10740)Instruction limit reached!
0.13/0.37	% (10740)------------------------------
0.13/0.37	% (10740)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.13/0.37	% (10740)Termination reason: Unknown
0.13/0.37	% (10740)Termination phase: Saturation
0.13/0.37	
0.13/0.37	% (10740)Memory used [KB]: 5628
0.13/0.37	% (10740)Time elapsed: 0.011 s
0.13/0.37	% (10740)Instructions burned: 18 (million)
0.13/0.37	% (10740)------------------------------
0.13/0.37	% (10740)------------------------------
0.13/0.38	% (10754)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)
0.13/0.38	% (10738)Instruction limit reached!
0.13/0.38	% (10738)------------------------------
0.13/0.38	% (10738)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.13/0.38	% (10738)Termination reason: Unknown
0.13/0.38	% (10738)Termination phase: Saturation
0.13/0.38	
0.13/0.38	% (10738)Memory used [KB]: 5884
0.13/0.38	% (10738)Time elapsed: 0.020 s
0.13/0.38	% (10738)Instructions burned: 34 (million)
0.13/0.38	% (10738)------------------------------
0.13/0.38	% (10738)------------------------------
0.13/0.38	% (10755)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi)
0.13/0.38	% (10737)Instruction limit reached!
0.13/0.38	% (10737)------------------------------
0.13/0.38	% (10737)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.13/0.38	% (10737)Termination reason: Unknown
0.13/0.38	% (10737)Termination phase: Saturation
0.13/0.38	
0.13/0.38	% (10737)Memory used [KB]: 5756
0.13/0.38	% (10737)Time elapsed: 0.022 s
0.13/0.38	% (10737)Instructions burned: 36 (million)
0.13/0.38	% (10737)------------------------------
0.13/0.38	% (10737)------------------------------
0.13/0.38	% (10754)Instruction limit reached!
0.13/0.38	% (10754)------------------------------
0.13/0.38	% (10754)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.13/0.38	% (10754)Termination reason: Unknown
0.13/0.38	% (10754)Termination phase: Saturation
0.13/0.38	
0.13/0.38	% (10754)Memory used [KB]: 5756
0.13/0.38	% (10754)Time elapsed: 0.010 s
0.13/0.38	% (10754)Instructions burned: 22 (million)
0.13/0.38	% (10754)------------------------------
0.13/0.38	% (10754)------------------------------
0.13/0.38	% (10755)Instruction limit reached!
0.13/0.38	% (10755)------------------------------
0.13/0.38	% (10755)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.13/0.38	% (10755)Termination reason: Unknown
0.13/0.38	% (10755)Termination phase: Preprocessing 3
0.13/0.38	
0.13/0.38	% (10755)Memory used [KB]: 1151
0.13/0.38	% (10755)Time elapsed: 0.006 s
0.13/0.38	% (10755)Instructions burned: 8 (million)
0.13/0.38	% (10755)------------------------------
0.13/0.38	% (10755)------------------------------
0.13/0.39	% (10760)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)
0.13/0.39	% (10766)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)
0.13/0.40	% (10764)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)
0.13/0.40	% (10765)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)
0.13/0.40	% (10767)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)
0.13/0.40	% (10765)Instruction limit reached!
0.13/0.40	% (10765)------------------------------
0.13/0.40	% (10765)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.13/0.40	% (10765)Termination reason: Unknown
0.13/0.40	% (10765)Termination phase: Function definition elimination
0.13/0.40	
0.13/0.40	% (10765)Memory used [KB]: 1151
0.13/0.40	% (10765)Time elapsed: 0.007 s
0.13/0.40	% (10765)Instructions burned: 10 (million)
0.13/0.40	% (10765)------------------------------
0.13/0.40	% (10765)------------------------------
0.13/0.41	% (10741)Instruction limit reached!
0.13/0.41	% (10741)------------------------------
0.13/0.41	% (10741)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.13/0.41	% (10741)Termination reason: Unknown
0.13/0.41	% (10741)Termination phase: Saturation
0.13/0.41	
0.13/0.41	% (10741)Memory used [KB]: 6012
0.13/0.41	% (10741)Time elapsed: 0.047 s
0.13/0.41	% (10741)Instructions burned: 75 (million)
0.13/0.41	% (10741)------------------------------
0.13/0.41	% (10741)------------------------------
0.20/0.42	% (10774)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi)
0.20/0.42	% (10736)Instruction limit reached!
0.20/0.42	% (10736)------------------------------
0.20/0.42	% (10736)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.42	% (10736)Termination reason: Unknown
0.20/0.42	% (10736)Termination phase: Saturation
0.20/0.42	
0.20/0.42	% (10736)Memory used [KB]: 6140
0.20/0.42	% (10736)Time elapsed: 0.057 s
0.20/0.42	% (10736)Instructions burned: 97 (million)
0.20/0.42	% (10736)------------------------------
0.20/0.42	% (10736)------------------------------
0.20/0.42	% (10776)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi)
0.20/0.43	% (10776)Instruction limit reached!
0.20/0.43	% (10776)------------------------------
0.20/0.43	% (10776)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.43	% (10776)Termination reason: Unknown
0.20/0.43	% (10776)Termination phase: Saturation
0.20/0.43	
0.20/0.43	% (10776)Memory used [KB]: 1151
0.20/0.43	% (10776)Time elapsed: 0.009 s
0.20/0.43	% (10776)Instructions burned: 15 (million)
0.20/0.43	% (10776)------------------------------
0.20/0.43	% (10776)------------------------------
0.20/0.43	% (10780)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)
0.20/0.43	% (10780)Instruction limit reached!
0.20/0.43	% (10780)------------------------------
0.20/0.43	% (10780)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.43	% (10780)Termination reason: Unknown
0.20/0.43	% (10780)Termination phase: shuffling
0.20/0.43	
0.20/0.43	% (10780)Memory used [KB]: 1023
0.20/0.43	% (10780)Time elapsed: 0.003 s
0.20/0.43	% (10780)Instructions burned: 2 (million)
0.20/0.43	% (10780)------------------------------
0.20/0.43	% (10780)------------------------------
0.20/0.44	% (10764)Instruction limit reached!
0.20/0.44	% (10764)------------------------------
0.20/0.44	% (10764)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.44	% (10764)Termination reason: Unknown
0.20/0.44	% (10764)Termination phase: Saturation
0.20/0.44	
0.20/0.44	% (10764)Memory used [KB]: 6012
0.20/0.44	% (10764)Time elapsed: 0.045 s
0.20/0.44	% (10764)Instructions burned: 71 (million)
0.20/0.44	% (10764)------------------------------
0.20/0.44	% (10764)------------------------------
0.20/0.44	% (10787)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)
0.20/0.45	% (10788)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)
0.20/0.45	% (10774)Instruction limit reached!
0.20/0.45	% (10774)------------------------------
0.20/0.45	% (10774)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.45	% (10774)Termination reason: Unknown
0.20/0.45	% (10774)Termination phase: Saturation
0.20/0.45	
0.20/0.45	% (10774)Memory used [KB]: 6140
0.20/0.45	% (10774)Time elapsed: 0.036 s
0.20/0.45	% (10774)Instructions burned: 61 (million)
0.20/0.45	% (10774)------------------------------
0.20/0.45	% (10774)------------------------------
0.20/0.45	% (10788)Instruction limit reached!
0.20/0.45	% (10788)------------------------------
0.20/0.45	% (10788)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.45	% (10788)Termination reason: Unknown
0.20/0.45	% (10788)Termination phase: Function definition elimination
0.20/0.45	
0.20/0.45	% (10788)Memory used [KB]: 1151
0.20/0.45	% (10788)Time elapsed: 0.007 s
0.20/0.45	% (10788)Instructions burned: 11 (million)
0.20/0.45	% (10788)------------------------------
0.20/0.45	% (10788)------------------------------
0.20/0.45	% (10789)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)
0.20/0.46	% (10789)Refutation not found, incomplete strategy
0.20/0.46	% (10789)------------------------------
0.20/0.46	% (10789)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.46	% (10789)Termination reason: Refutation not found, incomplete strategy
0.20/0.46	
0.20/0.46	
0.20/0.46	% (10789)Memory used [KB]: 5756
0.20/0.46	% (10789)Time elapsed: 0.012 s
0.20/0.46	% (10789)Instructions burned: 20 (million)
0.20/0.46	% (10789)------------------------------
0.20/0.46	% (10789)------------------------------
0.20/0.47	% (10790)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)
0.20/0.47	% (10791)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)
0.20/0.47	% (10767)Instruction limit reached!
0.20/0.47	% (10767)------------------------------
0.20/0.47	% (10767)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.47	% (10767)Termination reason: Unknown
0.20/0.47	% (10767)Termination phase: Saturation
0.20/0.47	
0.20/0.47	% (10767)Memory used [KB]: 6268
0.20/0.47	% (10767)Time elapsed: 0.074 s
0.20/0.47	% (10767)Instructions burned: 128 (million)
0.20/0.47	% (10767)------------------------------
0.20/0.47	% (10767)------------------------------
0.20/0.47	% (10792)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)
0.20/0.47	% (10790)Instruction limit reached!
0.20/0.47	% (10790)------------------------------
0.20/0.47	% (10790)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.47	% (10790)Termination reason: Unknown
0.20/0.47	% (10790)Termination phase: Saturation
0.20/0.47	
0.20/0.47	% (10790)Memory used [KB]: 5756
0.20/0.47	% (10790)Time elapsed: 0.011 s
0.20/0.47	% (10790)Instructions burned: 27 (million)
0.20/0.47	% (10790)------------------------------
0.20/0.47	% (10790)------------------------------
0.20/0.48	% (10792)Refutation not found, incomplete strategy
0.20/0.48	% (10792)------------------------------
0.20/0.48	% (10792)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.48	% (10792)Termination reason: Refutation not found, incomplete strategy
0.20/0.48	
0.20/0.48	
0.20/0.48	% (10792)Memory used [KB]: 5628
0.20/0.48	% (10792)Time elapsed: 0.004 s
0.20/0.48	% (10792)Instructions burned: 10 (million)
0.20/0.48	% (10792)------------------------------
0.20/0.48	% (10792)------------------------------
0.20/0.48	% (10795)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)
0.20/0.48	% (10795)Instruction limit reached!
0.20/0.48	% (10795)------------------------------
0.20/0.48	% (10795)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.48	% (10795)Termination reason: Unknown
0.20/0.48	% (10795)Termination phase: shuffling
0.20/0.48	
0.20/0.48	% (10795)Memory used [KB]: 1151
0.20/0.48	% (10795)Time elapsed: 0.003 s
0.20/0.48	% (10795)Instructions burned: 5 (million)
0.20/0.48	% (10795)------------------------------
0.20/0.48	% (10795)------------------------------
0.20/0.48	% (10798)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)
0.20/0.49	% (10800)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)
0.20/0.49	% (10791)Instruction limit reached!
0.20/0.49	% (10791)------------------------------
0.20/0.49	% (10791)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.49	% (10791)Termination reason: Unknown
0.20/0.49	% (10791)Termination phase: Saturation
0.20/0.49	
0.20/0.49	% (10791)Memory used [KB]: 1535
0.20/0.49	% (10791)Time elapsed: 0.021 s
0.20/0.49	% (10791)Instructions burned: 58 (million)
0.20/0.49	% (10791)------------------------------
0.20/0.49	% (10791)------------------------------
0.20/0.49	% (10798)Refutation not found, incomplete strategy
0.20/0.49	% (10798)------------------------------
0.20/0.49	% (10798)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.49	% (10798)Termination reason: Refutation not found, incomplete strategy
0.20/0.49	
0.20/0.49	
0.20/0.49	% (10798)Memory used [KB]: 5628
0.20/0.49	% (10798)Time elapsed: 0.005 s
0.20/0.49	% (10798)Instructions burned: 13 (million)
0.20/0.49	% (10798)------------------------------
0.20/0.49	% (10798)------------------------------
0.20/0.49	% (10803)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)
0.20/0.49	% (10805)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)
0.20/0.50	% (10806)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)
0.20/0.50	% (10800)Instruction limit reached!
0.20/0.50	% (10800)------------------------------
0.20/0.50	% (10800)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.50	% (10800)Termination reason: Unknown
0.20/0.50	% (10800)Termination phase: Saturation
0.20/0.50	
0.20/0.50	% (10800)Memory used [KB]: 1279
0.20/0.50	% (10800)Time elapsed: 0.015 s
0.20/0.50	% (10800)Instructions burned: 45 (million)
0.20/0.50	% (10800)------------------------------
0.20/0.50	% (10800)------------------------------
0.20/0.51	% (10739)First to succeed.
0.20/0.51	% (10810)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)
0.20/0.51	% (10810)Instruction limit reached!
0.20/0.51	% (10810)------------------------------
0.20/0.51	% (10810)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.51	% (10810)Termination reason: Unknown
0.20/0.51	% (10810)Termination phase: shuffling
0.20/0.51	
0.20/0.51	% (10810)Memory used [KB]: 1023
0.20/0.51	% (10810)Time elapsed: 0.002 s
0.20/0.51	% (10810)Instructions burned: 3 (million)
0.20/0.51	% (10810)------------------------------
0.20/0.51	% (10810)------------------------------
0.20/0.51	% (10739)Refutation found. Thanks to Tanya!
0.20/0.51	% SZS status Theorem for Vampire---4
0.20/0.51	% SZS output start Proof for Vampire---4
0.20/0.51	thf(type_def_5, type, mu: $tType).
0.20/0.51	thf(type_def_7, type, reg: $tType).
0.20/0.51	thf(func_def_0, type, mu: $tType).
0.20/0.51	thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
0.20/0.51	thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
0.20/0.51	thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
0.20/0.51	thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
0.20/0.51	thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
0.20/0.51	thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
0.20/0.51	thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
0.20/0.51	thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
0.20/0.51	thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
0.20/0.51	thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
0.20/0.51	thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
0.20/0.51	thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
0.20/0.51	thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
0.20/0.51	thf(func_def_15, type, mtrue: $i > $o).
0.20/0.51	thf(func_def_16, type, mfalse: $i > $o).
0.20/0.51	thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
0.20/0.51	thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
0.20/0.51	thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
0.20/0.51	thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
0.20/0.51	thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
0.20/0.51	thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
0.20/0.51	thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
0.20/0.51	thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
0.20/0.51	thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
0.20/0.51	thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
0.20/0.51	thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
0.20/0.51	thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
0.20/0.51	thf(func_def_29, type, mvalid: ($i > $o) > $o).
0.20/0.51	thf(func_def_30, type, minvalid: ($i > $o) > $o).
0.20/0.51	thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
0.20/0.51	thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
0.20/0.51	thf(func_def_33, type, reg: $tType).
0.20/0.51	thf(func_def_34, type, c: reg > reg > $o).
0.20/0.51	thf(func_def_35, type, dc: reg > reg > $o).
0.20/0.51	thf(func_def_36, type, p: reg > reg > $o).
0.20/0.51	thf(func_def_37, type, eq: reg > reg > $o).
0.20/0.51	thf(func_def_38, type, o: reg > reg > $o).
0.20/0.51	thf(func_def_39, type, po: reg > reg > $o).
0.20/0.51	thf(func_def_40, type, ec: reg > reg > $o).
0.20/0.51	thf(func_def_41, type, pp: reg > reg > $o).
0.20/0.51	thf(func_def_42, type, tpp: reg > reg > $o).
0.20/0.51	thf(func_def_43, type, ntpp: reg > reg > $o).
0.20/0.51	thf(func_def_44, type, catalunya: reg).
0.20/0.51	thf(func_def_45, type, france: reg).
0.20/0.51	thf(func_def_46, type, spain: reg).
0.20/0.51	thf(func_def_47, type, paris: reg).
0.20/0.51	thf(func_def_48, type, a: $i > $i > $o).
0.20/0.51	thf(func_def_49, type, fool: $i > $i > $o).
0.20/0.51	thf(func_def_66, type, sK1: reg).
0.20/0.51	thf(func_def_67, type, sK2: reg > reg).
0.20/0.51	thf(func_def_68, type, sK3: reg > reg).
0.20/0.51	thf(func_def_69, type, sK4: reg > reg).
0.20/0.51	thf(func_def_72, type, sK7: reg).
0.20/0.51	thf(func_def_73, type, sK8: $i > ($i > $o) > $i).
0.20/0.51	thf(func_def_74, type, sK9: $i > ($i > $o) > $i).
0.20/0.51	thf(func_def_75, type, sK10: reg > reg).
0.20/0.51	thf(func_def_76, type, sK11: reg > reg).
0.20/0.51	thf(func_def_77, type, sK12: reg > reg).
0.20/0.51	thf(func_def_78, type, sK13: $i > ($i > $o) > $i).
0.20/0.51	thf(func_def_79, type, sK14: reg).
0.20/0.51	thf(func_def_80, type, sK15: reg > reg).
0.20/0.51	thf(func_def_81, type, sK16: reg > reg).
0.20/0.51	thf(func_def_82, type, sK17: reg > reg).
0.20/0.51	thf(func_def_83, type, sK18: reg > reg).
0.20/0.51	thf(func_def_84, type, sK19: reg > reg).
0.20/0.51	thf(func_def_85, type, sK20: reg > reg).
0.20/0.51	thf(func_def_86, type, sK21: reg).
0.20/0.51	thf(func_def_87, type, ph22: !>[X0: $tType]:(X0)).
0.20/0.51	thf(f1512,plain,(
0.20/0.51	  $false),
0.20/0.51	  inference(avatar_sat_refutation,[],[f434,f498,f502,f506,f510,f530,f543,f563,f795,f952,f1056,f1157,f1501])).
0.20/0.51	thf(f1501,plain,(
0.20/0.51	  ~spl0_1 | ~spl0_19 | ~spl0_25 | ~spl0_33 | ~spl0_35),
0.20/0.51	  inference(avatar_contradiction_clause,[],[f1500])).
0.20/0.51	thf(f1500,plain,(
0.20/0.51	  $false | (~spl0_1 | ~spl0_19 | ~spl0_25 | ~spl0_33 | ~spl0_35)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f1499])).
0.20/0.51	thf(f1499,plain,(
0.20/0.51	  ($false = $true) | (~spl0_1 | ~spl0_19 | ~spl0_25 | ~spl0_33 | ~spl0_35)),
0.20/0.51	  inference(backward_demodulation,[],[f950,f1498])).
0.20/0.51	thf(f1498,plain,(
0.20/0.51	  ($false = (c @ (sK11 @ sK7) @ catalunya)) | (~spl0_1 | ~spl0_19 | ~spl0_25 | ~spl0_33)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f1479])).
0.20/0.51	thf(f1479,plain,(
0.20/0.51	  ($false = $true) | ($false = (c @ (sK11 @ sK7) @ catalunya)) | (~spl0_1 | ~spl0_19 | ~spl0_25 | ~spl0_33)),
0.20/0.51	  inference(superposition,[],[f1154,f928])).
0.20/0.51	thf(f928,plain,(
0.20/0.51	  ( ! [X0 : reg] : (($true = (c @ (sK10 @ X0) @ X0)) | ($false = (c @ (sK11 @ X0) @ catalunya))) ) | (~spl0_1 | ~spl0_19)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f924])).
0.20/0.51	thf(f924,plain,(
0.20/0.51	  ( ! [X0 : reg] : (($true = (c @ (sK10 @ X0) @ X0)) | ($false = $true) | ($false = (c @ (sK11 @ X0) @ catalunya))) ) | (~spl0_1 | ~spl0_19)),
0.20/0.51	  inference(superposition,[],[f430,f505])).
0.20/0.51	thf(f505,plain,(
0.20/0.51	  ( ! [X3 : reg] : (($false = (c @ (sK11 @ X3) @ spain)) | ((c @ (sK10 @ X3) @ X3) = $true)) ) | ~spl0_19),
0.20/0.51	  inference(avatar_component_clause,[],[f504])).
0.20/0.51	thf(f504,plain,(
0.20/0.51	  spl0_19 <=> ! [X3 : reg] : (((c @ (sK10 @ X3) @ X3) = $true) | ($false = (c @ (sK11 @ X3) @ spain)))),
0.20/0.51	  introduced(avatar_definition,[new_symbols(naming,[spl0_19])])).
0.20/0.51	thf(f430,plain,(
0.20/0.51	  ( ! [X3 : reg] : (((c @ X3 @ spain) = $true) | ((c @ X3 @ catalunya) = $false)) ) | ~spl0_1),
0.20/0.51	  inference(avatar_component_clause,[],[f429])).
0.20/0.51	thf(f429,plain,(
0.20/0.51	  spl0_1 <=> ! [X3 : reg] : (((c @ X3 @ spain) = $true) | ((c @ X3 @ catalunya) = $false))),
0.20/0.51	  introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
0.20/0.51	thf(f1154,plain,(
0.20/0.51	  ((c @ (sK10 @ sK7) @ sK7) = $false) | (~spl0_25 | ~spl0_33)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f1147])).
0.20/0.51	thf(f1147,plain,(
0.20/0.51	  ((c @ (sK10 @ sK7) @ sK7) = $false) | ($false = $true) | (~spl0_25 | ~spl0_33)),
0.20/0.51	  inference(superposition,[],[f1111,f288])).
0.20/0.51	thf(f288,plain,(
0.20/0.51	  ( ! [X1 : reg] : (($true = (c @ X1 @ paris)) | ($false = (c @ X1 @ sK7))) )),
0.20/0.51	  inference(binary_proxy_clausification,[],[f287])).
0.20/0.51	thf(f287,plain,(
0.20/0.51	  ( ! [X1 : reg] : ((((c @ X1 @ sK7) => (c @ X1 @ paris)) = $true)) )),
0.20/0.51	  inference(beta_eta_normalization,[],[f286])).
0.20/0.51	thf(f286,plain,(
0.20/0.51	  ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris))) @ X1))) )),
0.20/0.51	  inference(pi_clausification,[],[f285])).
0.20/0.51	thf(f285,plain,(
0.20/0.51	  ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris)))) = $true)),
0.20/0.51	  inference(not_proxy_clausification,[],[f280])).
0.20/0.51	thf(f280,plain,(
0.20/0.51	  ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris))))))),
0.20/0.51	  inference(binary_proxy_clausification,[],[f279])).
0.20/0.51	thf(f279,plain,(
0.20/0.51	  ($false = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ catalunya)))) => (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris)))))))),
0.20/0.51	  inference(beta_eta_normalization,[],[f278])).
0.20/0.51	thf(f278,plain,(
0.20/0.51	  (((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) => (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))) @ sK7) = $false)),
0.20/0.51	  inference(sigma_clausification,[],[f275])).
0.20/0.51	thf(f275,plain,(
0.20/0.51	  ((!! @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) => (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) = $false)),
0.20/0.51	  inference(binary_proxy_clausification,[],[f274])).
0.20/0.51	thf(f274,plain,(
0.20/0.51	  ($false = ((~ (a @ sK5 @ sK6)) | (!! @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) => (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))))),
0.20/0.51	  inference(beta_eta_normalization,[],[f273])).
0.20/0.51	thf(f273,plain,(
0.20/0.51	  ($false = ((^[Y0 : $i]: ((~ (a @ sK5 @ Y0)) | (!! @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) => (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))))) @ sK6))),
0.20/0.51	  inference(sigma_clausification,[],[f272])).
0.20/0.51	thf(f272,plain,(
0.20/0.51	  ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (a @ sK5 @ Y0)) | (!! @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) => (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))))))))))),
0.20/0.51	  inference(beta_eta_normalization,[],[f271])).
0.20/0.51	thf(f271,plain,(
0.20/0.51	  ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (!! @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) => (~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))))))))))) @ sK5))),
0.20/0.51	  inference(sigma_clausification,[],[f270])).
0.20/0.51	thf(f270,plain,(
0.20/0.51	  ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (!! @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) => (~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris))))))))))))))),
0.20/0.51	  inference(beta_eta_normalization,[],[f206])).
0.20/0.51	thf(f206,plain,(
0.20/0.51	  (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y1 @ catalunya) => (~ ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y1 @ paris)))))))) != $true)),
0.20/0.51	  inference(definition_unfolding,[],[f168,f163,f149,f156,f156])).
0.20/0.51	thf(f156,plain,(
0.20/0.51	  (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
0.20/0.51	  inference(cnf_transformation,[],[f79])).
0.20/0.51	thf(f79,plain,(
0.20/0.51	  (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
0.20/0.51	  inference(fool_elimination,[],[f78])).
0.20/0.51	thf(f78,plain,(
0.20/0.51	  (p = (^[X0 : reg, X1 : reg] : (! [X2 : reg] : ((c @ X2 @ X0) => (c @ X2 @ X1)))))),
0.20/0.51	  inference(rectify,[],[f33])).
0.20/0.51	thf(f33,axiom,(
0.20/0.51	  (p = (^[X0 : reg, X1 : reg] : (! [X11 : reg] : ((c @ X11 @ X0) => (c @ X11 @ X1)))))),
0.20/0.51	  file('/export/starexec/sandbox2/tmp/tmp.haUeqWV7C3/Vampire---4.8_10501',p)).
0.20/0.51	thf(f149,plain,(
0.20/0.51	  (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
0.20/0.51	  inference(cnf_transformation,[],[f89])).
0.20/0.51	thf(f89,plain,(
0.20/0.51	  (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
0.20/0.51	  inference(fool_elimination,[],[f88])).
0.20/0.51	thf(f88,plain,(
0.20/0.51	  (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))))),
0.20/0.51	  inference(rectify,[],[f16])).
0.20/0.51	thf(f16,axiom,(
0.20/0.51	  (mbox = (^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))))),
0.20/0.51	  file('/export/starexec/sandbox2/tmp/tmp.haUeqWV7C3/Vampire---4.8_10501',mbox)).
0.20/0.51	thf(f163,plain,(
0.20/0.51	  (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
0.20/0.51	  inference(cnf_transformation,[],[f131])).
0.20/0.51	thf(f131,plain,(
0.20/0.51	  (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
0.20/0.51	  inference(fool_elimination,[],[f130])).
0.20/0.51	thf(f130,plain,(
0.20/0.51	  (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
0.20/0.51	  inference(rectify,[],[f28])).
0.20/0.51	thf(f28,axiom,(
0.20/0.51	  (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
0.20/0.51	  file('/export/starexec/sandbox2/tmp/tmp.haUeqWV7C3/Vampire---4.8_10501',mvalid)).
0.20/0.51	thf(f168,plain,(
0.20/0.51	  ($true != (mvalid @ (mbox @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: ((p @ Y1 @ catalunya) => (~ (p @ Y1 @ paris)))))))))),
0.20/0.51	  inference(cnf_transformation,[],[f146])).
0.20/0.51	thf(f146,plain,(
0.20/0.51	  ($true != (mvalid @ (mbox @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: ((p @ Y1 @ catalunya) => (~ (p @ Y1 @ paris)))))))))),
0.20/0.51	  inference(flattening,[],[f143])).
0.20/0.51	thf(f143,plain,(
0.20/0.51	  ~($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: ((p @ Y1 @ catalunya) => (~ (p @ Y1 @ paris)))))))))),
0.20/0.51	  inference(fool_elimination,[],[f142])).
0.20/0.51	thf(f142,plain,(
0.20/0.51	  ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X1 : reg] : ((p @ X1 @ catalunya) => ~(p @ X1 @ paris))))))),
0.20/0.51	  inference(rectify,[],[f50])).
0.20/0.51	thf(f50,negated_conjecture,(
0.20/0.51	  ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X11 : reg] : ((p @ X11 @ catalunya) => ~(p @ X11 @ paris))))))),
0.20/0.51	  inference(negated_conjecture,[],[f49])).
0.20/0.51	thf(f49,conjecture,(
0.20/0.51	  (mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X11 : reg] : ((p @ X11 @ catalunya) => ~(p @ X11 @ paris))))))),
0.20/0.51	  file('/export/starexec/sandbox2/tmp/tmp.haUeqWV7C3/Vampire---4.8_10501',con)).
0.20/0.51	thf(f1111,plain,(
0.20/0.51	  ($false = (c @ (sK10 @ sK7) @ paris)) | (~spl0_25 | ~spl0_33)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f1104])).
0.20/0.51	thf(f1104,plain,(
0.20/0.51	  ($false = (c @ (sK10 @ sK7) @ paris)) | ($false = $true) | (~spl0_25 | ~spl0_33)),
0.20/0.51	  inference(superposition,[],[f793,f529])).
0.20/0.51	thf(f529,plain,(
0.20/0.51	  ( ! [X3 : reg] : (($true = (c @ X3 @ france)) | ($false = (c @ X3 @ paris))) ) | ~spl0_25),
0.20/0.51	  inference(avatar_component_clause,[],[f528])).
0.20/0.51	thf(f528,plain,(
0.20/0.51	  spl0_25 <=> ! [X3 : reg] : (($false = (c @ X3 @ paris)) | ($true = (c @ X3 @ france)))),
0.20/0.51	  introduced(avatar_definition,[new_symbols(naming,[spl0_25])])).
0.20/0.51	thf(f793,plain,(
0.20/0.51	  ($false = (c @ (sK10 @ sK7) @ france)) | ~spl0_33),
0.20/0.51	  inference(avatar_component_clause,[],[f791])).
0.20/0.51	thf(f791,plain,(
0.20/0.51	  spl0_33 <=> ($false = (c @ (sK10 @ sK7) @ france))),
0.20/0.51	  introduced(avatar_definition,[new_symbols(naming,[spl0_33])])).
0.20/0.51	thf(f950,plain,(
0.20/0.51	  ($true = (c @ (sK11 @ sK7) @ catalunya)) | ~spl0_35),
0.20/0.51	  inference(avatar_component_clause,[],[f948])).
0.20/0.51	thf(f948,plain,(
0.20/0.51	  spl0_35 <=> ($true = (c @ (sK11 @ sK7) @ catalunya))),
0.20/0.51	  introduced(avatar_definition,[new_symbols(naming,[spl0_35])])).
0.20/0.51	thf(f1157,plain,(
0.20/0.51	  ~spl0_25 | ~spl0_33 | ~spl0_34),
0.20/0.51	  inference(avatar_contradiction_clause,[],[f1156])).
0.20/0.51	thf(f1156,plain,(
0.20/0.51	  $false | (~spl0_25 | ~spl0_33 | ~spl0_34)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f1155])).
0.20/0.51	thf(f1155,plain,(
0.20/0.51	  ($false = $true) | (~spl0_25 | ~spl0_33 | ~spl0_34)),
0.20/0.51	  inference(backward_demodulation,[],[f946,f1154])).
0.20/0.51	thf(f946,plain,(
0.20/0.51	  ((c @ (sK10 @ sK7) @ sK7) = $true) | ~spl0_34),
0.20/0.51	  inference(avatar_component_clause,[],[f944])).
0.20/0.51	thf(f944,plain,(
0.20/0.51	  spl0_34 <=> ((c @ (sK10 @ sK7) @ sK7) = $true)),
0.20/0.51	  introduced(avatar_definition,[new_symbols(naming,[spl0_34])])).
0.20/0.51	thf(f1056,plain,(
0.20/0.51	  spl0_33 | ~spl0_1 | ~spl0_17 | ~spl0_32),
0.20/0.51	  inference(avatar_split_clause,[],[f1047,f787,f496,f429,f791])).
0.20/0.51	thf(f496,plain,(
0.20/0.51	  spl0_17 <=> ! [X3 : reg] : (((c @ (sK10 @ X3) @ france) = $false) | ($false = (c @ (sK12 @ X3) @ spain)))),
0.20/0.51	  introduced(avatar_definition,[new_symbols(naming,[spl0_17])])).
0.20/0.51	thf(f787,plain,(
0.20/0.51	  spl0_32 <=> ($true = (c @ (sK12 @ sK7) @ catalunya))),
0.20/0.51	  introduced(avatar_definition,[new_symbols(naming,[spl0_32])])).
0.20/0.51	thf(f1047,plain,(
0.20/0.51	  ($false = (c @ (sK10 @ sK7) @ france)) | (~spl0_1 | ~spl0_17 | ~spl0_32)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f1042])).
0.20/0.51	thf(f1042,plain,(
0.20/0.51	  ($false = $true) | ($false = (c @ (sK10 @ sK7) @ france)) | (~spl0_1 | ~spl0_17 | ~spl0_32)),
0.20/0.51	  inference(superposition,[],[f789,f767])).
0.20/0.51	thf(f767,plain,(
0.20/0.51	  ( ! [X0 : reg] : (($false = (c @ (sK12 @ X0) @ catalunya)) | ((c @ (sK10 @ X0) @ france) = $false)) ) | (~spl0_1 | ~spl0_17)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f763])).
0.20/0.51	thf(f763,plain,(
0.20/0.51	  ( ! [X0 : reg] : (((c @ (sK10 @ X0) @ france) = $false) | ($false = $true) | ($false = (c @ (sK12 @ X0) @ catalunya))) ) | (~spl0_1 | ~spl0_17)),
0.20/0.51	  inference(superposition,[],[f430,f497])).
0.20/0.51	thf(f497,plain,(
0.20/0.51	  ( ! [X3 : reg] : (($false = (c @ (sK12 @ X3) @ spain)) | ((c @ (sK10 @ X3) @ france) = $false)) ) | ~spl0_17),
0.20/0.51	  inference(avatar_component_clause,[],[f496])).
0.20/0.51	thf(f789,plain,(
0.20/0.51	  ($true = (c @ (sK12 @ sK7) @ catalunya)) | ~spl0_32),
0.20/0.51	  inference(avatar_component_clause,[],[f787])).
0.20/0.51	thf(f952,plain,(
0.20/0.51	  spl0_35 | spl0_34 | ~spl0_20),
0.20/0.51	  inference(avatar_split_clause,[],[f937,f508,f944,f948])).
0.20/0.51	thf(f508,plain,(
0.20/0.51	  spl0_20 <=> ! [X3 : reg] : (((c @ (sK11 @ X3) @ X3) = $true) | ((c @ (sK10 @ X3) @ X3) = $true))),
0.20/0.51	  introduced(avatar_definition,[new_symbols(naming,[spl0_20])])).
0.20/0.51	thf(f937,plain,(
0.20/0.51	  ($true = (c @ (sK11 @ sK7) @ catalunya)) | ((c @ (sK10 @ sK7) @ sK7) = $true) | ~spl0_20),
0.20/0.51	  inference(trivial_inequality_removal,[],[f934])).
0.20/0.51	thf(f934,plain,(
0.20/0.51	  ($true = (c @ (sK11 @ sK7) @ catalunya)) | ($false = $true) | ((c @ (sK10 @ sK7) @ sK7) = $true) | ~spl0_20),
0.20/0.51	  inference(superposition,[],[f509,f284])).
0.20/0.51	thf(f284,plain,(
0.20/0.51	  ( ! [X1 : reg] : (($false = (c @ X1 @ sK7)) | ((c @ X1 @ catalunya) = $true)) )),
0.20/0.51	  inference(binary_proxy_clausification,[],[f283])).
0.20/0.51	thf(f283,plain,(
0.20/0.51	  ( ! [X1 : reg] : ((((c @ X1 @ sK7) => (c @ X1 @ catalunya)) = $true)) )),
0.20/0.51	  inference(beta_eta_normalization,[],[f282])).
0.20/0.51	thf(f282,plain,(
0.20/0.51	  ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ catalunya))) @ X1))) )),
0.20/0.51	  inference(pi_clausification,[],[f281])).
0.20/0.51	thf(f281,plain,(
0.20/0.51	  ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ catalunya)))) = $true)),
0.20/0.51	  inference(binary_proxy_clausification,[],[f279])).
0.20/0.51	thf(f509,plain,(
0.20/0.51	  ( ! [X3 : reg] : (((c @ (sK11 @ X3) @ X3) = $true) | ((c @ (sK10 @ X3) @ X3) = $true)) ) | ~spl0_20),
0.20/0.51	  inference(avatar_component_clause,[],[f508])).
0.20/0.51	thf(f795,plain,(
0.20/0.51	  spl0_33 | spl0_32 | ~spl0_18),
0.20/0.51	  inference(avatar_split_clause,[],[f784,f500,f787,f791])).
0.20/0.51	thf(f500,plain,(
0.20/0.51	  spl0_18 <=> ! [X3 : reg] : (((c @ (sK10 @ X3) @ france) = $false) | ($true = (c @ (sK12 @ X3) @ X3)))),
0.20/0.51	  introduced(avatar_definition,[new_symbols(naming,[spl0_18])])).
0.20/0.51	thf(f784,plain,(
0.20/0.51	  ($true = (c @ (sK12 @ sK7) @ catalunya)) | ($false = (c @ (sK10 @ sK7) @ france)) | ~spl0_18),
0.20/0.51	  inference(trivial_inequality_removal,[],[f777])).
0.20/0.51	thf(f777,plain,(
0.20/0.51	  ($false = $true) | ($true = (c @ (sK12 @ sK7) @ catalunya)) | ($false = (c @ (sK10 @ sK7) @ france)) | ~spl0_18),
0.20/0.51	  inference(superposition,[],[f501,f284])).
0.20/0.51	thf(f501,plain,(
0.20/0.51	  ( ! [X3 : reg] : (($true = (c @ (sK12 @ X3) @ X3)) | ((c @ (sK10 @ X3) @ france) = $false)) ) | ~spl0_18),
0.20/0.51	  inference(avatar_component_clause,[],[f500])).
0.20/0.51	thf(f563,plain,(
0.20/0.51	  ~spl0_15),
0.20/0.51	  inference(avatar_contradiction_clause,[],[f562])).
0.20/0.51	thf(f562,plain,(
0.20/0.51	  $false | ~spl0_15),
0.20/0.51	  inference(trivial_inequality_removal,[],[f559])).
0.20/0.51	thf(f559,plain,(
0.20/0.51	  ($false = $true) | ~spl0_15),
0.20/0.51	  inference(backward_demodulation,[],[f548,f555])).
0.20/0.51	thf(f555,plain,(
0.20/0.51	  ( ! [X1 : $i,X5 : $i > $o] : (((X5 @ X1) = $false)) ) | ~spl0_15),
0.20/0.51	  inference(not_proxy_clausification,[],[f554])).
0.20/0.51	thf(f554,plain,(
0.20/0.51	  ( ! [X1 : $i,X5 : $i > $o] : (((~ (X5 @ X1)) = $true)) ) | ~spl0_15),
0.20/0.51	  inference(beta_eta_normalization,[],[f552])).
0.20/0.51	thf(f552,plain,(
0.20/0.51	  ( ! [X1 : $i,X5 : $i > $o] : ((((^[Y0 : $i]: (~ (X5 @ Y0))) @ X1) = $true)) ) | ~spl0_15),
0.20/0.51	  inference(primitive_instantiation,[],[f548])).
0.20/0.51	thf(f548,plain,(
0.20/0.51	  ( ! [X2 : $i > $o,X1 : $i] : (((X2 @ X1) = $true)) ) | ~spl0_15),
0.20/0.51	  inference(trivial_inequality_removal,[],[f544])).
0.20/0.51	thf(f544,plain,(
0.20/0.51	  ( ! [X2 : $i > $o,X1 : $i] : (($false = $true) | ((X2 @ X1) = $true)) ) | ~spl0_15),
0.20/0.51	  inference(backward_demodulation,[],[f366,f489])).
0.20/0.51	thf(f489,plain,(
0.20/0.51	  ( ! [X2 : $i,X1 : $i] : (((fool @ X1 @ X2) = $false)) ) | ~spl0_15),
0.20/0.51	  inference(avatar_component_clause,[],[f488])).
0.20/0.51	thf(f488,plain,(
0.20/0.51	  spl0_15 <=> ! [X2,X1] : ((fool @ X1 @ X2) = $false)),
0.20/0.51	  introduced(avatar_definition,[new_symbols(naming,[spl0_15])])).
0.20/0.51	thf(f366,plain,(
0.20/0.51	  ( ! [X2 : $i > $o,X1 : $i] : (((fool @ X1 @ (sK13 @ X1 @ X2)) = $true) | ((X2 @ X1) = $true)) )),
0.20/0.51	  inference(not_proxy_clausification,[],[f365])).
0.20/0.51	thf(f365,plain,(
0.20/0.51	  ( ! [X2 : $i > $o,X1 : $i] : (((X2 @ X1) = $true) | ((~ (fool @ X1 @ (sK13 @ X1 @ X2))) = $false)) )),
0.20/0.51	  inference(binary_proxy_clausification,[],[f363])).
0.20/0.51	thf(f363,plain,(
0.20/0.51	  ( ! [X2 : $i > $o,X1 : $i] : (((X2 @ X1) = $true) | ($false = ((~ (fool @ X1 @ (sK13 @ X1 @ X2))) | (X2 @ (sK13 @ X1 @ X2))))) )),
0.20/0.51	  inference(beta_eta_normalization,[],[f362])).
0.20/0.51	thf(f362,plain,(
0.20/0.51	  ( ! [X2 : $i > $o,X1 : $i] : (((X2 @ X1) = $true) | ($false = ((^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0))) @ (sK13 @ X1 @ X2)))) )),
0.20/0.51	  inference(sigma_clausification,[],[f361])).
0.20/0.51	thf(f361,plain,(
0.20/0.51	  ( ! [X2 : $i > $o,X1 : $i] : (((X2 @ X1) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0)))) = $false)) )),
0.20/0.51	  inference(not_proxy_clausification,[],[f360])).
0.20/0.51	thf(f360,plain,(
0.20/0.51	  ( ! [X2 : $i > $o,X1 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0)))))) | ((X2 @ X1) = $true)) )),
0.20/0.51	  inference(binary_proxy_clausification,[],[f359])).
0.20/0.51	thf(f359,plain,(
0.20/0.51	  ( ! [X2 : $i > $o,X1 : $i] : ((((~ (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0))))) | (X2 @ X1)) = $true)) )),
0.20/0.51	  inference(beta_eta_normalization,[],[f358])).
0.20/0.51	thf(f358,plain,(
0.20/0.51	  ( ! [X2 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ X1 @ Y1)) | (Y0 @ Y1))))) | (Y0 @ X1))) @ X2))) )),
0.20/0.51	  inference(pi_clausification,[],[f357])).
0.20/0.51	thf(f357,plain,(
0.20/0.51	  ( ! [X1 : $i] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ X1 @ Y1)) | (Y0 @ Y1))))) | (Y0 @ X1)))) = $true)) )),
0.20/0.51	  inference(beta_eta_normalization,[],[f356])).
0.20/0.51	thf(f356,plain,(
0.20/0.51	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (fool @ Y0 @ Y2)) | (Y1 @ Y2))))) | (Y1 @ Y0))))) @ X1) = $true)) )),
0.20/0.51	  inference(pi_clausification,[],[f355])).
0.20/0.51	thf(f355,plain,(
0.20/0.51	  ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (fool @ Y0 @ Y2)) | (Y1 @ Y2))))) | (Y1 @ Y0)))))) = $true)),
0.20/0.51	  inference(beta_eta_normalization,[],[f202])).
0.20/0.51	thf(f202,plain,(
0.20/0.51	  (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ fool @ Y0) @ Y0)))) = $true)),
0.20/0.51	  inference(definition_unfolding,[],[f151,f163,f152,f189,f149])).
0.20/0.51	thf(f189,plain,(
0.20/0.51	  (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
0.20/0.51	  inference(definition_unfolding,[],[f165,f169,f166])).
0.20/0.51	thf(f166,plain,(
0.20/0.51	  (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
0.20/0.51	  inference(cnf_transformation,[],[f103])).
0.20/0.51	thf(f103,plain,(
0.20/0.51	  (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
0.20/0.51	  inference(fool_elimination,[],[f102])).
0.20/0.51	thf(f102,plain,(
0.20/0.51	  ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
0.20/0.51	  inference(rectify,[],[f3])).
0.20/0.51	thf(f3,axiom,(
0.20/0.51	  ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
0.20/0.51	  file('/export/starexec/sandbox2/tmp/tmp.haUeqWV7C3/Vampire---4.8_10501',mnot)).
0.20/0.51	thf(f169,plain,(
0.20/0.51	  (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
0.20/0.51	  inference(cnf_transformation,[],[f57])).
0.20/0.51	thf(f57,plain,(
0.20/0.51	  (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
0.20/0.51	  inference(fool_elimination,[],[f56])).
0.20/0.51	thf(f56,plain,(
0.20/0.51	  (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
0.20/0.51	  inference(rectify,[],[f4])).
0.20/0.51	thf(f4,axiom,(
0.20/0.51	  (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))))),
0.20/0.51	  file('/export/starexec/sandbox2/tmp/tmp.haUeqWV7C3/Vampire---4.8_10501',mor)).
0.20/0.51	thf(f165,plain,(
0.20/0.51	  (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
0.20/0.51	  inference(cnf_transformation,[],[f77])).
0.20/0.51	thf(f77,plain,(
0.20/0.51	  (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
0.20/0.51	  inference(fool_elimination,[],[f76])).
0.20/0.51	thf(f76,plain,(
0.20/0.51	  ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
0.20/0.51	  inference(rectify,[],[f6])).
0.20/0.51	thf(f6,axiom,(
0.20/0.51	  ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
0.20/0.51	  file('/export/starexec/sandbox2/tmp/tmp.haUeqWV7C3/Vampire---4.8_10501',mimplies)).
0.20/0.51	thf(f152,plain,(
0.20/0.51	  (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
0.20/0.51	  inference(cnf_transformation,[],[f135])).
0.20/0.51	thf(f135,plain,(
0.20/0.51	  (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
0.20/0.51	  inference(fool_elimination,[],[f134])).
0.20/0.51	thf(f134,plain,(
0.20/0.51	  ((^[X0 : ($i > $o) > $i > $o, X1 : $i] : (! [X2 : $i > $o] : (X0 @ X2 @ X1))) = mforall_prop)),
0.20/0.51	  inference(rectify,[],[f11])).
0.20/0.51	thf(f11,axiom,(
0.20/0.51	  ((^[X3 : ($i > $o) > $i > $o, X2 : $i] : (! [X5 : $i > $o] : (X3 @ X5 @ X2))) = mforall_prop)),
0.20/0.51	  file('/export/starexec/sandbox2/tmp/tmp.haUeqWV7C3/Vampire---4.8_10501',mforall_prop)).
0.20/0.51	thf(f151,plain,(
0.20/0.51	  ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ Y0)))) = $true)),
0.20/0.51	  inference(cnf_transformation,[],[f95])).
0.20/0.51	thf(f95,plain,(
0.20/0.51	  ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ Y0)))) = $true)),
0.20/0.51	  inference(fool_elimination,[],[f94])).
0.20/0.51	thf(f94,plain,(
0.20/0.51	  (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mbox @ fool @ X0) @ X0))))),
0.20/0.51	  inference(rectify,[],[f44])).
0.20/0.51	thf(f44,axiom,(
0.20/0.51	  (mvalid @ (mforall_prop @ (^[X12 : $i > $o] : (mimplies @ (mbox @ fool @ X12) @ X12))))),
0.20/0.51	  file('/export/starexec/sandbox2/tmp/tmp.haUeqWV7C3/Vampire---4.8_10501',t_axiom_for_fool)).
0.20/0.51	thf(f543,plain,(
0.20/0.51	  ~spl0_2),
0.20/0.51	  inference(avatar_contradiction_clause,[],[f542])).
0.20/0.51	thf(f542,plain,(
0.20/0.51	  $false | ~spl0_2),
0.20/0.51	  inference(trivial_inequality_removal,[],[f541])).
0.20/0.51	thf(f541,plain,(
0.20/0.51	  ($false = $true) | ~spl0_2),
0.20/0.51	  inference(backward_demodulation,[],[f277,f433])).
0.20/0.51	thf(f433,plain,(
0.20/0.51	  ( ! [X2 : $i,X1 : $i] : (((a @ X1 @ X2) = $false)) ) | ~spl0_2),
0.20/0.51	  inference(avatar_component_clause,[],[f432])).
0.20/0.51	thf(f432,plain,(
0.20/0.51	  spl0_2 <=> ! [X2,X1] : ((a @ X1 @ X2) = $false)),
0.20/0.51	  introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
0.20/0.51	thf(f277,plain,(
0.20/0.51	  ($true = (a @ sK5 @ sK6))),
0.20/0.51	  inference(not_proxy_clausification,[],[f276])).
0.20/0.51	thf(f276,plain,(
0.20/0.51	  ($false = (~ (a @ sK5 @ sK6)))),
0.20/0.51	  inference(binary_proxy_clausification,[],[f274])).
0.20/0.51	thf(f530,plain,(
0.20/0.51	  spl0_2 | spl0_25),
0.20/0.51	  inference(avatar_split_clause,[],[f227,f528,f432])).
0.20/0.51	thf(f227,plain,(
0.20/0.51	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (((a @ X1 @ X2) = $false) | ($false = (c @ X3 @ paris)) | ($true = (c @ X3 @ france))) )),
0.20/0.51	  inference(binary_proxy_clausification,[],[f226])).
0.20/0.51	thf(f226,plain,(
0.20/0.51	  ( ! [X2 : $i,X3 : reg,X1 : $i] : ((((c @ X3 @ paris) => (c @ X3 @ france)) = $true) | ((a @ X1 @ X2) = $false)) )),
0.20/0.51	  inference(beta_eta_normalization,[],[f225])).
0.20/0.51	thf(f225,plain,(
0.20/0.51	  ( ! [X2 : $i,X3 : reg,X1 : $i] : ((((^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))) @ X3) = $true) | ((a @ X1 @ X2) = $false)) )),
0.20/0.51	  inference(pi_clausification,[],[f218])).
0.20/0.51	thf(f218,plain,(
0.20/0.51	  ( ! [X2 : $i,X1 : $i] : (($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) | ((a @ X1 @ X2) = $false)) )),
0.20/0.51	  inference(binary_proxy_clausification,[],[f217])).
0.20/0.51	thf(f217,plain,(
0.20/0.51	  ( ! [X2 : $i,X1 : $i] : (((a @ X1 @ X2) = $false) | ($true = ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))))) )),
0.20/0.51	  inference(binary_proxy_clausification,[],[f215])).
0.20/0.51	thf(f215,plain,(
0.20/0.51	  ( ! [X2 : $i,X1 : $i] : (((((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france))))))) = $true) | ((a @ X1 @ X2) = $false)) )),
0.20/0.51	  inference(not_proxy_clausification,[],[f214])).
0.20/0.51	thf(f214,plain,(
0.20/0.51	  ( ! [X2 : $i,X1 : $i] : (((~ (a @ X1 @ X2)) = $true) | ((((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france))))))) = $true)) )),
0.20/0.51	  inference(binary_proxy_clausification,[],[f213])).
0.20/0.51	thf(f213,plain,(
0.20/0.51	  ( ! [X2 : $i,X1 : $i] : ((((~ (a @ X1 @ X2)) | (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france)))))))) = $true)) )),
0.20/0.51	  inference(beta_eta_normalization,[],[f212])).
0.20/0.51	thf(f212,plain,(
0.20/0.51	  ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))))))) & (c @ Y1 @ paris)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))) & (c @ Y1 @ france))))))))) @ X2) = $true)) )),
0.20/0.51	  inference(pi_clausification,[],[f211])).
0.20/0.51	thf(f211,plain,(
0.20/0.51	  ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))))))) & (c @ Y1 @ paris)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))) & (c @ Y1 @ france)))))))))) = $true)) )),
0.20/0.51	  inference(beta_eta_normalization,[],[f210])).
0.20/0.51	thf(f210,plain,(
0.20/0.51	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))))))) & (c @ Y2 @ paris)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))))))) & (c @ Y2 @ france))))))))))) @ X1) = $true)) )),
0.20/0.51	  inference(pi_clausification,[],[f209])).
0.20/0.51	thf(f209,plain,(
0.20/0.51	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))))))) & (c @ Y2 @ paris)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))))))) & (c @ Y2 @ france)))))))))))) = $true)),
0.20/0.51	  inference(beta_eta_normalization,[],[f205])).
0.20/0.51	thf(f205,plain,(
0.20/0.51	  ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4))))) @ Y1 @ Y2) & (~ (?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y1) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y2))))))))) @ paris @ france)))))),
0.20/0.51	  inference(definition_unfolding,[],[f164,f163,f149,f201])).
0.20/0.51	thf(f201,plain,(
0.20/0.51	  (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: ((~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)) & ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3))))) @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y1))))))))))),
0.20/0.51	  inference(definition_unfolding,[],[f187,f199,f198,f198])).
0.20/0.51	thf(f198,plain,(
0.20/0.51	  (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ ((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3))))))) @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))),
0.20/0.51	  inference(definition_unfolding,[],[f180,f196])).
0.20/0.51	thf(f196,plain,(
0.20/0.51	  (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y1))))))))),
0.20/0.51	  inference(definition_unfolding,[],[f175,f156,f156])).
0.20/0.51	thf(f175,plain,(
0.20/0.51	  (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y0) & (p @ Y2 @ Y1))))))))),
0.20/0.51	  inference(cnf_transformation,[],[f124])).
0.20/0.51	thf(f124,plain,(
0.20/0.51	  (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y0) & (p @ Y2 @ Y1))))))))),
0.20/0.51	  inference(fool_elimination,[],[f123])).
0.20/0.51	thf(f123,plain,(
0.20/0.51	  (o = (^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((p @ X2 @ X1) & (p @ X2 @ X0)))))),
0.20/0.51	  inference(rectify,[],[f35])).
0.20/0.51	thf(f35,axiom,(
0.20/0.51	  (o = (^[X0 : reg, X1 : reg] : (? [X11 : reg] : ((p @ X11 @ X1) & (p @ X11 @ X0)))))),
0.20/0.51	  file('/export/starexec/sandbox2/tmp/tmp.haUeqWV7C3/Vampire---4.8_10501',o)).
0.20/0.51	thf(f180,plain,(
0.20/0.51	  (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (o @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))),
0.20/0.51	  inference(cnf_transformation,[],[f61])).
0.20/0.51	thf(f61,plain,(
0.20/0.51	  (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (o @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))),
0.20/0.51	  inference(fool_elimination,[],[f60])).
0.20/0.51	thf(f60,plain,(
0.20/0.51	  (ec = (^[X0 : reg, X1 : reg] : ((c @ X0 @ X1) & ~(o @ X0 @ X1))))),
0.20/0.51	  inference(rectify,[],[f37])).
0.20/0.51	thf(f37,axiom,(
0.20/0.51	  (ec = (^[X0 : reg, X1 : reg] : ((c @ X0 @ X1) & ~(o @ X0 @ X1))))),
0.20/0.51	  file('/export/starexec/sandbox2/tmp/tmp.haUeqWV7C3/Vampire---4.8_10501',ec)).
0.20/0.51	thf(f199,plain,(
0.20/0.51	  (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y1 @ Y0)) & ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y0 @ Y1))))))),
0.20/0.51	  inference(definition_unfolding,[],[f161,f156,f156])).
0.20/0.51	thf(f161,plain,(
0.20/0.51	  (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (p @ Y1 @ Y0)) & (p @ Y0 @ Y1))))))),
0.20/0.51	  inference(cnf_transformation,[],[f69])).
0.20/0.51	thf(f69,plain,(
0.20/0.51	  (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (p @ Y1 @ Y0)) & (p @ Y0 @ Y1))))))),
0.20/0.51	  inference(fool_elimination,[],[f68])).
0.20/0.51	thf(f68,plain,(
0.20/0.51	  (pp = (^[X0 : reg, X1 : reg] : ((p @ X0 @ X1) & ~(p @ X1 @ X0))))),
0.20/0.51	  inference(rectify,[],[f38])).
0.20/0.51	thf(f38,axiom,(
0.20/0.51	  (pp = (^[X0 : reg, X1 : reg] : ((p @ X0 @ X1) & ~(p @ X1 @ X0))))),
0.20/0.51	  file('/export/starexec/sandbox2/tmp/tmp.haUeqWV7C3/Vampire---4.8_10501',pp)).
0.20/0.51	thf(f187,plain,(
0.20/0.51	  (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))))))))),
0.20/0.51	  inference(cnf_transformation,[],[f65])).
0.20/0.51	thf(f65,plain,(
0.20/0.51	  (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))))))))),
0.20/0.51	  inference(fool_elimination,[],[f64])).
0.20/0.51	thf(f64,plain,(
0.20/0.51	  (ntpp = (^[X0 : reg, X1 : reg] : (~? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)) & (pp @ X0 @ X1))))),
0.20/0.51	  inference(rectify,[],[f40])).
0.20/0.51	thf(f40,axiom,(
0.20/0.51	  (ntpp = (^[X0 : reg, X1 : reg] : (~? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)) & (pp @ X0 @ X1))))),
0.20/0.51	  file('/export/starexec/sandbox2/tmp/tmp.haUeqWV7C3/Vampire---4.8_10501',ntpp)).
0.20/0.51	thf(f164,plain,(
0.20/0.51	  ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))) = $true)),
0.20/0.51	  inference(cnf_transformation,[],[f137])).
0.20/0.51	thf(f137,plain,(
0.20/0.51	  ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))) = $true)),
0.20/0.51	  inference(fool_elimination,[],[f136])).
0.20/0.51	thf(f136,plain,(
0.20/0.51	  (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
0.20/0.51	  inference(rectify,[],[f48])).
0.20/0.51	thf(f48,axiom,(
0.20/0.51	  (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
0.20/0.51	  file('/export/starexec/sandbox2/tmp/tmp.haUeqWV7C3/Vampire---4.8_10501',ax3)).
0.20/0.51	thf(f510,plain,(
0.20/0.51	  spl0_20 | spl0_15),
0.20/0.51	  inference(avatar_split_clause,[],[f350,f488,f508])).
0.20/0.51	thf(f350,plain,(
0.20/0.51	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (((fool @ X1 @ X2) = $false) | ((c @ (sK11 @ X3) @ X3) = $true) | ((c @ (sK10 @ X3) @ X3) = $true)) )),
0.20/0.51	  inference(binary_proxy_clausification,[],[f348])).
0.20/0.51	thf(f348,plain,(
0.20/0.51	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = ((c @ (sK11 @ X3) @ X3) => (c @ (sK11 @ X3) @ spain))) | ((fool @ X1 @ X2) = $false) | ((c @ (sK10 @ X3) @ X3) = $true)) )),
0.20/0.51	  inference(beta_eta_normalization,[],[f347])).
0.20/0.51	thf(f347,plain,(
0.20/0.51	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = ((^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ spain))) @ (sK11 @ X3))) | ((c @ (sK10 @ X3) @ X3) = $true) | ((fool @ X1 @ X2) = $false)) )),
0.20/0.51	  inference(sigma_clausification,[],[f346])).
0.20/0.51	thf(f346,plain,(
0.20/0.51	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ spain))))) | ((c @ (sK10 @ X3) @ X3) = $true) | ((fool @ X1 @ X2) = $false)) )),
0.20/0.51	  inference(binary_proxy_clausification,[],[f344])).
0.20/0.51	thf(f344,plain,(
0.20/0.51	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (((fool @ X1 @ X2) = $false) | ($false = ((c @ (sK10 @ X3) @ X3) => (c @ (sK10 @ X3) @ france))) | ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ spain)))))) )),
0.20/0.51	  inference(beta_eta_normalization,[],[f343])).
0.20/0.51	thf(f343,plain,(
0.20/0.51	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (((fool @ X1 @ X2) = $false) | ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ spain))))) | ($false = ((^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ france))) @ (sK10 @ X3)))) )),
0.20/0.51	  inference(sigma_clausification,[],[f342])).
0.20/0.51	thf(f342,plain,(
0.20/0.51	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ france))))) | ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ spain))))) | ((fool @ X1 @ X2) = $false)) )),
0.20/0.51	  inference(binary_proxy_clausification,[],[f341])).
0.20/0.51	thf(f341,plain,(
0.20/0.51	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ spain)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ france)))))) | ((fool @ X1 @ X2) = $false)) )),
0.20/0.51	  inference(beta_eta_normalization,[],[f340])).
0.20/0.51	thf(f340,plain,(
0.20/0.51	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = ((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))) @ X3)) | ((fool @ X1 @ X2) = $false)) )),
0.20/0.52	  inference(pi_clausification,[],[f339])).
0.20/0.52	thf(f339,plain,(
0.20/0.52	  ( ! [X2 : $i,X1 : $i] : (($false = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) | ((fool @ X1 @ X2) = $false)) )),
0.20/0.52	  inference(not_proxy_clausification,[],[f338])).
0.20/0.52	thf(f338,plain,(
0.20/0.52	  ( ! [X2 : $i,X1 : $i] : (($true = (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))))) | ((fool @ X1 @ X2) = $false)) )),
0.20/0.52	  inference(binary_proxy_clausification,[],[f336])).
0.20/0.52	thf(f336,plain,(
0.20/0.52	  ( ! [X2 : $i,X1 : $i] : (((fool @ X1 @ X2) = $false) | (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ spain @ france)) = $true)) )),
0.20/0.52	  inference(not_proxy_clausification,[],[f335])).
0.20/0.52	thf(f335,plain,(
0.20/0.52	  ( ! [X2 : $i,X1 : $i] : (((~ (fool @ X1 @ X2)) = $true) | (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ spain @ france)) = $true)) )),
0.20/0.52	  inference(binary_proxy_clausification,[],[f334])).
0.20/0.52	thf(f334,plain,(
0.20/0.52	  ( ! [X2 : $i,X1 : $i] : ((((~ (fool @ X1 @ X2)) | ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ spain @ france))) = $true)) )),
0.20/0.52	  inference(beta_eta_normalization,[],[f333])).
0.20/0.52	thf(f333,plain,(
0.20/0.52	  ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ spain @ france)))) @ X2) = $true)) )),
0.20/0.52	  inference(pi_clausification,[],[f332])).
0.20/0.52	thf(f332,plain,(
0.20/0.52	  ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ spain @ france))))))) )),
0.20/0.52	  inference(beta_eta_normalization,[],[f331])).
0.20/0.52	thf(f331,plain,(
0.20/0.52	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ Y0 @ Y1)) | ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))) & (c @ spain @ france)))))) @ X1))) )),
0.20/0.52	  inference(pi_clausification,[],[f330])).
0.20/0.52	thf(f330,plain,(
0.20/0.52	  ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ Y0 @ Y1)) | ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))) & (c @ spain @ france))))))))),
0.20/0.52	  inference(beta_eta_normalization,[],[f203])).
0.20/0.52	thf(f203,plain,(
0.20/0.52	  (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ fool @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((~ ((^[Y3 : reg]: ((^[Y4 : reg]: (?? @ reg @ (^[Y5 : reg]: (((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y3) & ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4))))))) @ Y1 @ Y2)) & (c @ Y1 @ Y2))))) @ spain @ france)))) = $true)),
0.20/0.52	  inference(definition_unfolding,[],[f153,f163,f149,f198])).
0.20/0.52	thf(f153,plain,(
0.20/0.52	  ((mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france)))) = $true)),
0.20/0.52	  inference(cnf_transformation,[],[f59])).
0.20/0.52	thf(f59,plain,(
0.20/0.52	  ((mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france)))) = $true)),
0.20/0.52	  inference(fool_elimination,[],[f58])).
0.20/0.52	thf(f58,plain,(
0.20/0.52	  (mvalid @ (mbox @ fool @ (^[X0 : $i] : (ec @ spain @ france))))),
0.20/0.52	  inference(rectify,[],[f47])).
0.20/0.52	thf(f47,axiom,(
0.20/0.52	  (mvalid @ (mbox @ fool @ (^[X0 : $i] : (ec @ spain @ france))))),
0.20/0.52	  file('/export/starexec/sandbox2/tmp/tmp.haUeqWV7C3/Vampire---4.8_10501',ax2)).
0.20/0.52	thf(f506,plain,(
0.20/0.52	  spl0_19 | spl0_15),
0.20/0.52	  inference(avatar_split_clause,[],[f349,f488,f504])).
0.20/0.52	thf(f349,plain,(
0.20/0.52	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (((fool @ X1 @ X2) = $false) | ((c @ (sK10 @ X3) @ X3) = $true) | ($false = (c @ (sK11 @ X3) @ spain))) )),
0.20/0.52	  inference(binary_proxy_clausification,[],[f348])).
0.20/0.52	thf(f502,plain,(
0.20/0.52	  spl0_15 | spl0_18),
0.20/0.52	  inference(avatar_split_clause,[],[f354,f500,f488])).
0.20/0.52	thf(f354,plain,(
0.20/0.52	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (((fool @ X1 @ X2) = $false) | ((c @ (sK10 @ X3) @ france) = $false) | ($true = (c @ (sK12 @ X3) @ X3))) )),
0.20/0.52	  inference(binary_proxy_clausification,[],[f352])).
0.20/0.52	thf(f352,plain,(
0.20/0.52	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = ((c @ (sK12 @ X3) @ X3) => (c @ (sK12 @ X3) @ spain))) | ((c @ (sK10 @ X3) @ france) = $false) | ((fool @ X1 @ X2) = $false)) )),
0.20/0.52	  inference(beta_eta_normalization,[],[f351])).
0.20/0.52	thf(f351,plain,(
0.20/0.52	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (((c @ (sK10 @ X3) @ france) = $false) | ($false = ((^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ spain))) @ (sK12 @ X3))) | ((fool @ X1 @ X2) = $false)) )),
0.20/0.52	  inference(sigma_clausification,[],[f345])).
0.20/0.52	thf(f345,plain,(
0.20/0.52	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ spain))))) | ((fool @ X1 @ X2) = $false) | ((c @ (sK10 @ X3) @ france) = $false)) )),
0.20/0.52	  inference(binary_proxy_clausification,[],[f344])).
0.20/0.52	thf(f498,plain,(
0.20/0.52	  spl0_15 | spl0_17),
0.20/0.52	  inference(avatar_split_clause,[],[f353,f496,f488])).
0.20/0.52	thf(f353,plain,(
0.20/0.52	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (((fool @ X1 @ X2) = $false) | ((c @ (sK10 @ X3) @ france) = $false) | ($false = (c @ (sK12 @ X3) @ spain))) )),
0.20/0.52	  inference(binary_proxy_clausification,[],[f352])).
0.20/0.52	thf(f434,plain,(
0.20/0.52	  spl0_1 | spl0_2),
0.20/0.52	  inference(avatar_split_clause,[],[f427,f432,f429])).
0.20/0.52	thf(f427,plain,(
0.20/0.52	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (((a @ X1 @ X2) = $false) | ((c @ X3 @ spain) = $true) | ((c @ X3 @ catalunya) = $false)) )),
0.20/0.52	  inference(binary_proxy_clausification,[],[f426])).
0.20/0.52	thf(f426,plain,(
0.20/0.52	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (((a @ X1 @ X2) = $false) | ($true = ((c @ X3 @ catalunya) => (c @ X3 @ spain)))) )),
0.20/0.52	  inference(beta_eta_normalization,[],[f425])).
0.20/0.52	thf(f425,plain,(
0.20/0.52	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (((a @ X1 @ X2) = $false) | (((^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))) @ X3) = $true)) )),
0.20/0.52	  inference(pi_clausification,[],[f424])).
0.20/0.52	thf(f424,plain,(
0.20/0.52	  ( ! [X2 : $i,X1 : $i] : (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) = $true) | ((a @ X1 @ X2) = $false)) )),
0.20/0.52	  inference(not_proxy_clausification,[],[f416])).
0.20/0.52	thf(f416,plain,(
0.20/0.52	  ( ! [X2 : $i,X1 : $i] : (((~ (a @ X1 @ X2)) = $true) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) = $true)) )),
0.20/0.52	  inference(binary_proxy_clausification,[],[f373])).
0.20/0.52	thf(f373,plain,(
0.20/0.52	  ( ! [X2 : $i,X1 : $i] : (($true = ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))))) | ((~ (a @ X1 @ X2)) = $true)) )),
0.20/0.52	  inference(binary_proxy_clausification,[],[f372])).
0.20/0.52	thf(f372,plain,(
0.20/0.52	  ( ! [X2 : $i,X1 : $i] : (($true = ((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))) & (c @ Y0 @ catalunya)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) & (c @ Y0 @ spain))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))))) | ((~ (a @ X1 @ X2)) = $true)) )),
0.20/0.52	  inference(binary_proxy_clausification,[],[f371])).
0.20/0.52	thf(f371,plain,(
0.20/0.52	  ( ! [X2 : $i,X1 : $i] : (($true = ((~ (a @ X1 @ X2)) | ((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))) & (c @ Y0 @ catalunya)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) & (c @ Y0 @ spain))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))))))) )),
0.20/0.52	  inference(beta_eta_normalization,[],[f370])).
0.20/0.52	thf(f370,plain,(
0.20/0.52	  ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))))))) & (c @ Y1 @ catalunya)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))))) & (c @ Y1 @ spain))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))))))) @ X2) = $true)) )),
0.20/0.52	  inference(pi_clausification,[],[f369])).
0.20/0.52	thf(f369,plain,(
0.20/0.52	  ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))))))) & (c @ Y1 @ catalunya)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))))) & (c @ Y1 @ spain))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain))))))))))) )),
0.20/0.52	  inference(beta_eta_normalization,[],[f368])).
0.20/0.52	thf(f368,plain,(
0.20/0.52	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))))))) & (c @ Y2 @ catalunya)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))))))) & (c @ Y2 @ spain))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))))))))) @ X1))) )),
0.20/0.52	  inference(pi_clausification,[],[f367])).
0.20/0.52	thf(f367,plain,(
0.20/0.52	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))))))) & (c @ Y2 @ catalunya)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))))))) & (c @ Y2 @ spain))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain))))))))))) = $true)),
0.20/0.52	  inference(beta_eta_normalization,[],[f207])).
0.20/0.52	thf(f207,plain,(
0.20/0.52	  (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y1) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y2)))) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ catalunya @ spain)))) = $true)),
0.20/0.52	  inference(definition_unfolding,[],[f171,f163,f149,f200])).
0.20/0.52	thf(f200,plain,(
0.20/0.52	  (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y1)))) & ((^[Y2 : reg]: ((^[Y3 : reg]: ((~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)) & ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3))))) @ Y0 @ Y1))))))),
0.20/0.52	  inference(definition_unfolding,[],[f179,f198,f198,f199])).
0.20/0.52	thf(f179,plain,(
0.20/0.52	  (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))) & (pp @ Y0 @ Y1))))))),
0.20/0.52	  inference(cnf_transformation,[],[f83])).
0.20/0.52	thf(f83,plain,(
0.20/0.52	  (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))) & (pp @ Y0 @ Y1))))))),
0.20/0.52	  inference(fool_elimination,[],[f82])).
0.20/0.52	thf(f82,plain,(
0.20/0.52	  (tpp = (^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)))))),
0.20/0.52	  inference(rectify,[],[f39])).
0.20/0.52	thf(f39,axiom,(
0.20/0.52	  (tpp = (^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)))))),
0.20/0.52	  file('/export/starexec/sandbox2/tmp/tmp.haUeqWV7C3/Vampire---4.8_10501',tpp)).
0.20/0.52	thf(f171,plain,(
0.20/0.52	  ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))) = $true)),
0.20/0.52	  inference(cnf_transformation,[],[f63])).
0.20/0.52	thf(f63,plain,(
0.20/0.52	  ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))) = $true)),
0.20/0.52	  inference(fool_elimination,[],[f62])).
0.20/0.52	thf(f62,plain,(
0.20/0.52	  (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
0.20/0.52	  inference(rectify,[],[f46])).
0.20/0.52	thf(f46,axiom,(
0.20/0.52	  (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
0.20/0.52	  file('/export/starexec/sandbox2/tmp/tmp.haUeqWV7C3/Vampire---4.8_10501',ax1)).
0.20/0.52	% SZS output end Proof for Vampire---4
0.20/0.52	% (10739)------------------------------
0.20/0.52	% (10739)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.52	% (10739)Termination reason: Refutation
0.20/0.52	
0.20/0.52	% (10739)Memory used [KB]: 6780
0.20/0.52	% (10739)Time elapsed: 0.151 s
0.20/0.52	% (10739)Instructions burned: 317 (million)
0.20/0.52	% (10739)------------------------------
0.20/0.52	% (10739)------------------------------
0.20/0.52	% (10734)Success in time 0.173 s
0.20/0.52	% Vampire---4.8 exiting
0.20/0.52	EOF