0.08/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.08/0.13	% Command    : run_vampire %s %d THM
0.13/0.34	% Computer : n005.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   : Thu Jul  4 07:18:54 EDT 2024
0.13/0.34	% CPUTime    : 
0.13/0.36	This is a THF_ problem
0.13/0.36	Running higher-order theorem proving
0.13/0.38	Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.JY1GGxSaWB/E---3.1_15666.p -m 16384 -t 180
0.13/0.40	% (15778)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_15666 for (1799ds/2Mi)
0.13/0.40	% (15779)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on E---3.1_15666 for (1799ds/2Mi)
0.13/0.40	% (15780)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on E---3.1_15666 for (1799ds/275Mi)
0.13/0.40	% (15776)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 E---3.1_15666 for (1799ds/4Mi)
0.13/0.40	% (15777)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on E---3.1_15666 for (1799ds/27Mi)
0.13/0.40	% (15775)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_15666 for (1799ds/183Mi)
0.13/0.40	% (15781)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_15666 for (1799ds/18Mi)
0.13/0.40	% (15778)Instruction limit reached!
0.13/0.40	% (15778)------------------------------
0.13/0.40	% (15778)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.13/0.40	% (15778)Termination reason: Unknown
0.13/0.40	% (15779)Instruction limit reached!
0.13/0.40	% (15779)------------------------------
0.13/0.40	% (15779)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.13/0.40	% (15779)Termination reason: Unknown
0.13/0.40	% (15779)Termination phase: shuffling
0.13/0.40	
0.13/0.40	% (15779)Memory used [KB]: 1023
0.13/0.40	% (15779)Time elapsed: 0.004 s
0.13/0.40	% (15779)Instructions burned: 3 (million)
0.13/0.40	% (15779)------------------------------
0.13/0.40	% (15779)------------------------------
0.13/0.40	% (15778)Termination phase: shuffling
0.13/0.40	
0.13/0.40	% (15778)Memory used [KB]: 1023
0.13/0.40	% (15778)Time elapsed: 0.004 s
0.13/0.40	% (15778)Instructions burned: 3 (million)
0.13/0.40	% (15778)------------------------------
0.13/0.40	% (15778)------------------------------
0.13/0.40	% (15776)Instruction limit reached!
0.13/0.40	% (15776)------------------------------
0.13/0.40	% (15776)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.13/0.40	% (15776)Termination reason: Unknown
0.13/0.40	% (15776)Termination phase: shuffling
0.13/0.40	
0.13/0.40	% (15776)Memory used [KB]: 1151
0.13/0.40	% (15776)Time elapsed: 0.004 s
0.13/0.40	% (15776)Instructions burned: 4 (million)
0.13/0.40	% (15776)------------------------------
0.13/0.40	% (15776)------------------------------
0.13/0.41	% (15780)Refutation not found, incomplete strategy
0.13/0.41	% (15780)------------------------------
0.13/0.41	% (15780)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.13/0.41	% (15780)Termination reason: Refutation not found, incomplete strategy
0.13/0.41	
0.13/0.41	
0.13/0.41	% (15780)Memory used [KB]: 5628
0.13/0.41	% (15780)Time elapsed: 0.010 s
0.13/0.41	% (15780)Instructions burned: 14 (million)
0.13/0.41	% (15780)------------------------------
0.13/0.41	% (15780)------------------------------
0.13/0.41	% (15781)Instruction limit reached!
0.13/0.41	% (15781)------------------------------
0.13/0.41	% (15781)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.41	% (15781)Termination reason: Unknown
0.23/0.41	% (15781)Termination phase: Saturation
0.23/0.41	
0.23/0.41	% (15781)Memory used [KB]: 5756
0.23/0.41	% (15781)Time elapsed: 0.012 s
0.23/0.41	% (15781)Instructions burned: 19 (million)
0.23/0.41	% (15781)------------------------------
0.23/0.41	% (15781)------------------------------
0.23/0.41	% (15777)Instruction limit reached!
0.23/0.41	% (15777)------------------------------
0.23/0.41	% (15777)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.41	% (15777)Termination reason: Unknown
0.23/0.41	% (15777)Termination phase: Saturation
0.23/0.41	
0.23/0.41	% (15777)Memory used [KB]: 5756
0.23/0.41	% (15777)Time elapsed: 0.017 s
0.23/0.41	% (15777)Instructions burned: 28 (million)
0.23/0.41	% (15777)------------------------------
0.23/0.41	% (15777)------------------------------
0.23/0.42	% (15782)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on E---3.1_15666 for (1799ds/3Mi)
0.23/0.42	% (15783)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 E---3.1_15666 for (1799ds/37Mi)
0.23/0.42	% (15784)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on E---3.1_15666 for (1799ds/15Mi)
0.23/0.42	% (15782)Instruction limit reached!
0.23/0.42	% (15782)------------------------------
0.23/0.42	% (15782)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.42	% (15782)Termination reason: Unknown
0.23/0.42	% (15782)Termination phase: shuffling
0.23/0.42	
0.23/0.42	% (15782)Memory used [KB]: 1151
0.23/0.42	% (15782)Time elapsed: 0.004 s
0.23/0.42	% (15782)Instructions burned: 4 (million)
0.23/0.42	% (15782)------------------------------
0.23/0.42	% (15782)------------------------------
0.23/0.42	% (15785)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on E---3.1_15666 for (1799ds/3Mi)
0.23/0.42	% (15786)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 E---3.1_15666 for (1799ds/1041Mi)
0.23/0.43	% (15784)Instruction limit reached!
0.23/0.43	% (15784)------------------------------
0.23/0.43	% (15784)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.43	% (15784)Termination reason: Unknown
0.23/0.43	% (15784)Termination phase: Saturation
0.23/0.43	
0.23/0.43	% (15784)Memory used [KB]: 1151
0.23/0.43	% (15784)Time elapsed: 0.010 s
0.23/0.43	% (15784)Instructions burned: 15 (million)
0.23/0.43	% (15784)------------------------------
0.23/0.43	% (15784)------------------------------
0.23/0.43	% (15785)Instruction limit reached!
0.23/0.43	% (15785)------------------------------
0.23/0.43	% (15785)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.43	% (15785)Termination reason: Unknown
0.23/0.43	% (15785)Termination phase: shuffling
0.23/0.43	
0.23/0.43	% (15785)Memory used [KB]: 1151
0.23/0.43	% (15785)Time elapsed: 0.004 s
0.23/0.43	% (15785)Instructions burned: 4 (million)
0.23/0.43	% (15785)------------------------------
0.23/0.43	% (15785)------------------------------
0.23/0.43	% (15787)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_15666 for (1799ds/7Mi)
0.23/0.43	% (15787)Instruction limit reached!
0.23/0.43	% (15787)------------------------------
0.23/0.43	% (15787)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.43	% (15787)Termination reason: Unknown
0.23/0.43	% (15787)Termination phase: SInE selection
0.23/0.43	
0.23/0.43	% (15787)Memory used [KB]: 1151
0.23/0.43	% (15787)Time elapsed: 0.006 s
0.23/0.43	% (15787)Instructions burned: 7 (million)
0.23/0.43	% (15787)------------------------------
0.23/0.43	% (15787)------------------------------
0.23/0.43	% (15788)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_15666 for (1799ds/16Mi)
0.23/0.44	% (15783)Instruction limit reached!
0.23/0.44	% (15783)------------------------------
0.23/0.44	% (15783)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.44	% (15783)Termination reason: Unknown
0.23/0.44	% (15783)Termination phase: Saturation
0.23/0.44	
0.23/0.44	% (15783)Memory used [KB]: 6012
0.23/0.44	% (15783)Time elapsed: 0.023 s
0.23/0.44	% (15783)Instructions burned: 38 (million)
0.23/0.44	% (15783)------------------------------
0.23/0.44	% (15783)------------------------------
0.23/0.44	% (15789)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 E---3.1_15666 for (1799ds/3Mi)
0.23/0.44	% (15790)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 E---3.1_15666 for (1799ds/3Mi)
0.23/0.44	% (15789)Instruction limit reached!
0.23/0.44	% (15789)------------------------------
0.23/0.44	% (15789)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.44	% (15789)Termination reason: Unknown
0.23/0.44	% (15789)Termination phase: shuffling
0.23/0.44	
0.23/0.44	% (15789)Memory used [KB]: 1023
0.23/0.44	% (15789)Time elapsed: 0.004 s
0.23/0.44	% (15789)Instructions burned: 3 (million)
0.23/0.44	% (15789)------------------------------
0.23/0.44	% (15789)------------------------------
0.23/0.44	% (15788)Instruction limit reached!
0.23/0.44	% (15788)------------------------------
0.23/0.44	% (15788)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.44	% (15788)Termination reason: Unknown
0.23/0.44	% (15788)Termination phase: Saturation
0.23/0.44	
0.23/0.44	% (15788)Memory used [KB]: 5628
0.23/0.44	% (15788)Time elapsed: 0.011 s
0.23/0.44	% (15788)Instructions burned: 17 (million)
0.23/0.44	% (15788)------------------------------
0.23/0.44	% (15788)------------------------------
0.23/0.44	% (15790)Instruction limit reached!
0.23/0.44	% (15790)------------------------------
0.23/0.44	% (15790)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.44	% (15790)Termination reason: Unknown
0.23/0.44	% (15790)Termination phase: shuffling
0.23/0.44	
0.23/0.44	% (15790)Memory used [KB]: 1023
0.23/0.44	% (15790)Time elapsed: 0.004 s
0.23/0.44	% (15790)Instructions burned: 3 (million)
0.23/0.44	% (15790)------------------------------
0.23/0.44	% (15790)------------------------------
0.23/0.45	% (15791)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on E---3.1_15666 for (1799ds/7Mi)
0.23/0.45	% (15791)Instruction limit reached!
0.23/0.45	% (15791)------------------------------
0.23/0.45	% (15791)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.45	% (15791)Termination reason: Unknown
0.23/0.45	% (15791)Termination phase: Property scanning
0.23/0.45	
0.23/0.45	% (15791)Memory used [KB]: 1151
0.23/0.45	% (15791)Time elapsed: 0.006 s
0.23/0.45	% (15791)Instructions burned: 7 (million)
0.23/0.45	% (15791)------------------------------
0.23/0.45	% (15791)------------------------------
0.23/0.45	% (15792)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on E---3.1_15666 for (1799ds/3Mi)
0.23/0.46	% (15792)Instruction limit reached!
0.23/0.46	% (15792)------------------------------
0.23/0.46	% (15792)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.46	% (15792)Termination reason: Unknown
0.23/0.46	% (15792)Termination phase: shuffling
0.23/0.46	
0.23/0.46	% (15792)Memory used [KB]: 1151
0.23/0.46	% (15792)Time elapsed: 0.004 s
0.23/0.46	% (15792)Instructions burned: 4 (million)
0.23/0.46	% (15792)------------------------------
0.23/0.46	% (15792)------------------------------
0.23/0.46	% (15793)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_15666 for (1799ds/4Mi)
0.23/0.46	% (15794)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on E---3.1_15666 for (1799ds/18Mi)
0.23/0.46	% (15795)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_15666 for (1799ds/710Mi)
0.23/0.46	% (15793)Instruction limit reached!
0.23/0.46	% (15793)------------------------------
0.23/0.46	% (15793)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.46	% (15793)Termination reason: Unknown
0.23/0.46	% (15793)Termination phase: shuffling
0.23/0.46	
0.23/0.46	% (15793)Memory used [KB]: 1151
0.23/0.46	% (15793)Time elapsed: 0.004 s
0.23/0.46	% (15793)Instructions burned: 4 (million)
0.23/0.46	% (15793)------------------------------
0.23/0.46	% (15793)------------------------------
0.23/0.47	% (15796)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_15666 for (1799ds/6Mi)
0.23/0.47	% (15794)Instruction limit reached!
0.23/0.47	% (15794)------------------------------
0.23/0.47	% (15794)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.47	% (15794)Termination reason: Unknown
0.23/0.47	% (15794)Termination phase: Saturation
0.23/0.47	
0.23/0.47	% (15794)Memory used [KB]: 5756
0.23/0.47	% (15794)Time elapsed: 0.013 s
0.23/0.47	% (15794)Instructions burned: 18 (million)
0.23/0.47	% (15794)------------------------------
0.23/0.47	% (15794)------------------------------
0.23/0.47	% (15797)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on E---3.1_15666 for (1799ds/902Mi)
0.23/0.47	% (15796)Instruction limit reached!
0.23/0.47	% (15796)------------------------------
0.23/0.47	% (15796)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.47	% (15796)Termination reason: Unknown
0.23/0.47	% (15796)Termination phase: Clausification
0.23/0.47	
0.23/0.47	% (15796)Memory used [KB]: 1151
0.23/0.47	% (15796)Time elapsed: 0.006 s
0.23/0.47	% (15796)Instructions burned: 7 (million)
0.23/0.47	% (15796)------------------------------
0.23/0.47	% (15796)------------------------------
0.23/0.48	% (15798)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 E---3.1_15666 for (1799ds/21Mi)
0.23/0.48	% (15797)Refutation not found, incomplete strategy
0.23/0.48	% (15797)------------------------------
0.23/0.48	% (15797)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.48	% (15797)Termination reason: Refutation not found, incomplete strategy
0.23/0.48	
0.23/0.48	
0.23/0.48	% (15797)Memory used [KB]: 5628
0.23/0.48	% (15797)Time elapsed: 0.009 s
0.23/0.48	% (15797)Instructions burned: 12 (million)
0.23/0.48	% (15797)------------------------------
0.23/0.48	% (15797)------------------------------
0.23/0.49	% (15799)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_15666 for (1799ds/5Mi)
0.23/0.49	% (15798)Instruction limit reached!
0.23/0.49	% (15798)------------------------------
0.23/0.49	% (15798)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.49	% (15798)Termination reason: Unknown
0.23/0.49	% (15798)Termination phase: Saturation
0.23/0.49	
0.23/0.49	% (15798)Memory used [KB]: 5756
0.23/0.49	% (15798)Time elapsed: 0.013 s
0.23/0.49	% (15798)Instructions burned: 21 (million)
0.23/0.49	% (15798)------------------------------
0.23/0.49	% (15798)------------------------------
0.23/0.49	% (15799)Instruction limit reached!
0.23/0.49	% (15799)------------------------------
0.23/0.49	% (15799)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.49	% (15800)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 E---3.1_15666 for (1799ds/6Mi)
0.23/0.49	% (15799)Termination reason: Unknown
0.23/0.49	% (15799)Termination phase: Property scanning
0.23/0.49	
0.23/0.49	% (15799)Memory used [KB]: 1151
0.23/0.49	% (15799)Time elapsed: 0.005 s
0.23/0.49	% (15799)Instructions burned: 6 (million)
0.23/0.49	% (15799)------------------------------
0.23/0.49	% (15799)------------------------------
0.23/0.49	% (15800)Instruction limit reached!
0.23/0.49	% (15800)------------------------------
0.23/0.49	% (15800)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.49	% (15800)Termination reason: Unknown
0.23/0.49	% (15800)Termination phase: SInE selection
0.23/0.49	
0.23/0.49	% (15800)Memory used [KB]: 1151
0.23/0.49	% (15800)Time elapsed: 0.006 s
0.23/0.49	% (15800)Instructions burned: 7 (million)
0.23/0.49	% (15800)------------------------------
0.23/0.49	% (15800)------------------------------
0.23/0.49	% (15801)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_15666 for (1799ds/377Mi)
0.23/0.50	% (15802)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on E---3.1_15666 for (1798ds/779Mi)
0.23/0.50	% (15803)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 E---3.1_15666 for (1798ds/19Mi)
0.23/0.51	% (15804)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on E---3.1_15666 for (1798ds/879Mi)
0.23/0.51	% (15775)Instruction limit reached!
0.23/0.51	% (15775)------------------------------
0.23/0.51	% (15775)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.51	% (15775)Termination reason: Unknown
0.23/0.51	% (15775)Termination phase: Saturation
0.23/0.51	
0.23/0.51	% (15775)Memory used [KB]: 7164
0.23/0.51	% (15775)Time elapsed: 0.115 s
0.23/0.51	% (15775)Instructions burned: 184 (million)
0.23/0.51	% (15775)------------------------------
0.23/0.51	% (15775)------------------------------
0.23/0.51	% (15803)Refutation not found, incomplete strategy
0.23/0.51	% (15803)------------------------------
0.23/0.51	% (15803)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.51	% (15803)Termination reason: Refutation not found, incomplete strategy
0.23/0.51	
0.23/0.51	
0.23/0.51	% (15803)Memory used [KB]: 5756
0.23/0.51	% (15803)Time elapsed: 0.011 s
0.23/0.51	% (15803)Instructions burned: 16 (million)
0.23/0.51	% (15803)------------------------------
0.23/0.51	% (15803)------------------------------
0.23/0.53	% (15801)First to succeed.
0.23/0.53	% (15805)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_15666 for (1798ds/17Mi)
0.23/0.53	% (15806)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_15666 for (1798ds/3Mi)
0.23/0.53	% (15806)Instruction limit reached!
0.23/0.53	% (15806)------------------------------
0.23/0.53	% (15806)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.53	% (15806)Termination reason: Unknown
0.23/0.53	% (15806)Termination phase: shuffling
0.23/0.53	
0.23/0.53	% (15806)Memory used [KB]: 1023
0.23/0.53	% (15806)Time elapsed: 0.003 s
0.23/0.53	% (15806)Instructions burned: 3 (million)
0.23/0.53	% (15806)------------------------------
0.23/0.53	% (15806)------------------------------
0.23/0.53	% (15805)Instruction limit reached!
0.23/0.53	% (15805)------------------------------
0.23/0.53	% (15805)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.53	% (15805)Termination reason: Unknown
0.23/0.53	% (15805)Termination phase: Saturation
0.23/0.53	
0.23/0.53	% (15805)Memory used [KB]: 5628
0.23/0.53	% (15805)Time elapsed: 0.008 s
0.23/0.53	% (15805)Instructions burned: 18 (million)
0.23/0.53	% (15805)------------------------------
0.23/0.53	% (15805)------------------------------
0.23/0.53	% (15801)Refutation found. Thanks to Tanya!
0.23/0.53	% SZS status Theorem for E---3.1_15666
0.23/0.53	% SZS output start Proof for E---3.1_15666
0.23/0.53	thf(type_def_5, type, mu: $tType).
0.23/0.53	thf(type_def_7, type, reg: $tType).
0.23/0.53	thf(func_def_0, type, mu: $tType).
0.23/0.53	thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
0.23/0.53	thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
0.23/0.53	thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
0.23/0.53	thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
0.23/0.53	thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
0.23/0.53	thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
0.23/0.53	thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
0.23/0.53	thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
0.23/0.53	thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
0.23/0.53	thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
0.23/0.53	thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
0.23/0.53	thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
0.23/0.53	thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
0.23/0.53	thf(func_def_15, type, mtrue: $i > $o).
0.23/0.53	thf(func_def_16, type, mfalse: $i > $o).
0.23/0.53	thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
0.23/0.53	thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
0.23/0.53	thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
0.23/0.53	thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
0.23/0.53	thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
0.23/0.53	thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
0.23/0.53	thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
0.23/0.53	thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
0.23/0.53	thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
0.23/0.53	thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
0.23/0.53	thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
0.23/0.53	thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
0.23/0.53	thf(func_def_29, type, mvalid: ($i > $o) > $o).
0.23/0.53	thf(func_def_30, type, minvalid: ($i > $o) > $o).
0.23/0.53	thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
0.23/0.53	thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
0.23/0.53	thf(func_def_33, type, reg: $tType).
0.23/0.53	thf(func_def_34, type, c: reg > reg > $o).
0.23/0.53	thf(func_def_35, type, dc: reg > reg > $o).
0.23/0.53	thf(func_def_36, type, p: reg > reg > $o).
0.23/0.53	thf(func_def_37, type, eq: reg > reg > $o).
0.23/0.53	thf(func_def_38, type, o: reg > reg > $o).
0.23/0.53	thf(func_def_39, type, po: reg > reg > $o).
0.23/0.53	thf(func_def_40, type, ec: reg > reg > $o).
0.23/0.53	thf(func_def_41, type, pp: reg > reg > $o).
0.23/0.53	thf(func_def_42, type, tpp: reg > reg > $o).
0.23/0.53	thf(func_def_43, type, ntpp: reg > reg > $o).
0.23/0.53	thf(func_def_44, type, catalunya: reg).
0.23/0.53	thf(func_def_45, type, france: reg).
0.23/0.53	thf(func_def_46, type, spain: reg).
0.23/0.53	thf(func_def_47, type, paris: reg).
0.23/0.53	thf(func_def_48, type, a: $i > $i > $o).
0.23/0.53	thf(func_def_49, type, fool: $i > $i > $o).
0.23/0.53	thf(func_def_66, type, sK1: reg).
0.23/0.53	thf(func_def_67, type, sK2: reg).
0.23/0.53	thf(func_def_68, type, sK3: reg > reg).
0.23/0.53	thf(func_def_69, type, sK4: reg > reg).
0.23/0.53	thf(func_def_70, type, sK5: reg > reg).
0.23/0.53	thf(func_def_71, type, sK6: reg > reg).
0.23/0.53	thf(func_def_72, type, sK7: reg > reg).
0.23/0.53	thf(func_def_73, type, sK8: $i > ($i > $o) > $i).
0.23/0.53	thf(func_def_76, type, sK11: reg).
0.23/0.53	thf(func_def_77, type, sK12: reg > reg).
0.23/0.53	thf(func_def_78, type, sK13: reg > reg).
0.23/0.53	thf(func_def_79, type, sK14: reg > reg).
0.23/0.53	thf(func_def_80, type, sK15: reg).
0.23/0.53	thf(func_def_81, type, sK16: reg > reg).
0.23/0.53	thf(func_def_82, type, sK17: reg > reg).
0.23/0.53	thf(func_def_83, type, sK18: reg).
0.23/0.53	thf(func_def_84, type, sK19: reg).
0.23/0.53	thf(func_def_85, type, sK20: reg).
0.23/0.53	thf(func_def_86, type, sK21: reg).
0.23/0.53	thf(func_def_87, type, sK22: reg > reg).
0.23/0.53	thf(func_def_88, type, sK23: reg > reg).
0.23/0.53	thf(func_def_89, type, sK24: reg).
0.23/0.53	thf(func_def_90, type, sK25: $i > ($i > $o) > $i).
0.23/0.53	thf(func_def_91, type, sK26: reg > reg).
0.23/0.53	thf(func_def_92, type, sK27: reg > reg).
0.23/0.53	thf(func_def_93, type, sK28: $i > ($i > $o) > $i).
0.23/0.53	thf(func_def_94, type, ph29: !>[X0: $tType]:(X0)).
0.23/0.53	thf(f1067,plain,(
0.23/0.53	  $false),
0.23/0.53	  inference(avatar_sat_refutation,[],[f609,f640,f645,f654,f659,f715,f718,f886,f899,f940,f1031,f1066])).
0.23/0.53	thf(f1066,plain,(
0.23/0.53	  ~spl0_10 | ~spl0_21 | ~spl0_22),
0.23/0.53	  inference(avatar_contradiction_clause,[],[f1065])).
0.23/0.53	thf(f1065,plain,(
0.23/0.53	  $false | (~spl0_10 | ~spl0_21 | ~spl0_22)),
0.23/0.53	  inference(trivial_inequality_removal,[],[f1064])).
0.23/0.53	thf(f1064,plain,(
0.23/0.53	  ($true = $false) | (~spl0_10 | ~spl0_21 | ~spl0_22)),
0.23/0.53	  inference(backward_demodulation,[],[f658,f1061])).
0.23/0.53	thf(f1061,plain,(
0.23/0.53	  ((c @ sK20 @ paris) = $false) | (~spl0_10 | ~spl0_21)),
0.23/0.53	  inference(trivial_inequality_removal,[],[f1057])).
0.23/0.53	thf(f1057,plain,(
0.23/0.53	  ((c @ sK20 @ paris) = $false) | ($true = $false) | (~spl0_10 | ~spl0_21)),
0.23/0.53	  inference(superposition,[],[f608,f1045])).
0.23/0.53	thf(f1045,plain,(
0.23/0.53	  ((c @ sK20 @ france) = $false) | ~spl0_21),
0.23/0.53	  inference(trivial_inequality_removal,[],[f1038])).
0.23/0.53	thf(f1038,plain,(
0.23/0.53	  ((c @ sK20 @ france) = $false) | ($true = $false) | ~spl0_21),
0.23/0.53	  inference(superposition,[],[f357,f653])).
0.23/0.53	thf(f653,plain,(
0.23/0.53	  ($false = (c @ sK20 @ sK11)) | ~spl0_21),
0.23/0.53	  inference(avatar_component_clause,[],[f651])).
0.23/0.53	thf(f651,plain,(
0.23/0.53	  spl0_21 <=> ($false = (c @ sK20 @ sK11))),
0.23/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl0_21])])).
0.23/0.53	thf(f357,plain,(
0.23/0.53	  ( ! [X1 : reg] : (($true = (c @ X1 @ sK11)) | ((c @ X1 @ france) = $false)) )),
0.23/0.53	  inference(binary_proxy_clausification,[],[f356])).
0.23/0.53	thf(f356,plain,(
0.23/0.53	  ( ! [X1 : reg] : (($true = ((c @ X1 @ france) => (c @ X1 @ sK11)))) )),
0.23/0.53	  inference(beta_eta_normalization,[],[f355])).
0.23/0.53	thf(f355,plain,(
0.23/0.53	  ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ sK11))) @ X1))) )),
0.23/0.53	  inference(pi_clausification,[],[f354])).
0.23/0.53	thf(f354,plain,(
0.23/0.53	  ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ sK11)))))),
0.23/0.53	  inference(binary_proxy_clausification,[],[f309])).
0.23/0.53	thf(f309,plain,(
0.23/0.53	  (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ sK11)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ france)))))) = $true)),
0.23/0.53	  inference(binary_proxy_clausification,[],[f308])).
0.23/0.53	thf(f308,plain,(
0.23/0.53	  ($true = ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))))) & ((c @ Y0 @ sK11) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK11))))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ sK11)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ france))))))))),
0.23/0.53	  inference(binary_proxy_clausification,[],[f306])).
0.23/0.53	thf(f306,plain,(
0.23/0.53	  ($true = (((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))))) & ((c @ Y0 @ sK11) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK11))))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ sK11)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ france))))))) & ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain))))))))) & ((c @ Y0 @ sK11) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK11))))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ sK11)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ spain)))))))))),
0.23/0.53	  inference(binary_proxy_clausification,[],[f304])).
0.23/0.53	thf(f304,plain,(
0.23/0.53	  (((((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))))) & ((c @ Y0 @ sK11) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK11))))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ sK11)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ france))))))) & ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain))))))))) & ((c @ Y0 @ sK11) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK11))))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ sK11)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ spain)))))))) => (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK11)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ catalunya)))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK11)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris)))))))) = $false)),
0.23/0.53	  inference(beta_eta_normalization,[],[f303])).
0.23/0.53	thf(f303,plain,(
0.23/0.53	  (((^[Y0 : reg]: ((((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0))))))))))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ Y0)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) & ((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ spain) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0))))))))))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ Y0)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))))) => (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ Y0)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ Y0)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))) @ sK11) = $false)),
0.23/0.53	  inference(sigma_clausification,[],[f302])).
0.23/0.53	thf(f302,plain,(
0.23/0.53	  ((!! @ reg @ (^[Y0 : reg]: ((((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0))))))))))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ Y0)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) & ((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ spain) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0))))))))))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ Y0)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))))) => (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ Y0)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ Y0)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))))) = $false)),
0.23/0.53	  inference(binary_proxy_clausification,[],[f300])).
0.23/0.53	thf(f300,plain,(
0.23/0.53	  (((!! @ reg @ (^[Y0 : reg]: ((((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0))))))))))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ Y0)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) & ((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ spain) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0))))))))))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ Y0)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))))) => (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ Y0)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ Y0)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))))) | (~ (a @ sK9 @ sK10))) = $false)),
0.23/0.53	  inference(beta_eta_normalization,[],[f299])).
0.23/0.53	thf(f299,plain,(
0.23/0.53	  (((^[Y0 : $i]: ((!! @ reg @ (^[Y1 : reg]: ((((~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ france) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france))))))))) & ((c @ Y2 @ Y1) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y1))))))))))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ Y1)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))) & ((~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ spain) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain))))))))) & ((c @ Y2 @ Y1) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y1))))))))))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ Y1)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) => (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ Y1)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ Y1)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))))) | (~ (a @ sK9 @ Y0)))) @ sK10) = $false)),
0.23/0.53	  inference(sigma_clausification,[],[f298])).
0.23/0.53	thf(f298,plain,(
0.23/0.53	  ((!! @ $i @ (^[Y0 : $i]: ((!! @ reg @ (^[Y1 : reg]: ((((~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ france) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france))))))))) & ((c @ Y2 @ Y1) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y1))))))))))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ Y1)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))) & ((~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ spain) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain))))))))) & ((c @ Y2 @ Y1) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y1))))))))))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ Y1)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) => (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ Y1)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ Y1)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))))) | (~ (a @ sK9 @ Y0))))) = $false)),
0.23/0.53	  inference(beta_eta_normalization,[],[f297])).
0.23/0.53	thf(f297,plain,(
0.23/0.53	  (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ reg @ (^[Y2 : reg]: ((((~ (?? @ reg @ (^[Y3 : reg]: (((c @ Y3 @ france) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ france))))))))) & ((c @ Y3 @ Y2) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2))))))))))))) & ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ france) => (c @ Y3 @ Y2)))) & (~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))))) & ((~ (?? @ reg @ (^[Y3 : reg]: (((c @ Y3 @ spain) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ spain))))))))) & ((c @ Y3 @ Y2) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2))))))))))))) & ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ spain) => (c @ Y3 @ Y2)))) & (~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))))) => (((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ catalunya) => (c @ Y3 @ Y2)))) & (~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))))) & ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ paris) => (c @ Y3 @ Y2)))) & (~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))))))))) | (~ (a @ Y0 @ Y1)))))) @ sK9) = $false)),
0.23/0.53	  inference(sigma_clausification,[],[f296])).
0.23/0.53	thf(f296,plain,(
0.23/0.53	  ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ reg @ (^[Y2 : reg]: ((((~ (?? @ reg @ (^[Y3 : reg]: (((c @ Y3 @ france) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ france))))))))) & ((c @ Y3 @ Y2) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2))))))))))))) & ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ france) => (c @ Y3 @ Y2)))) & (~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))))) & ((~ (?? @ reg @ (^[Y3 : reg]: (((c @ Y3 @ spain) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ spain))))))))) & ((c @ Y3 @ Y2) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2))))))))))))) & ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ spain) => (c @ Y3 @ Y2)))) & (~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))))) => (((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ catalunya) => (c @ Y3 @ Y2)))) & (~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))))) & ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ paris) => (c @ Y3 @ Y2)))) & (~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))))))))) | (~ (a @ Y0 @ Y1))))))))),
0.23/0.53	  inference(beta_eta_normalization,[],[f219])).
0.23/0.53	thf(f219,plain,(
0.23/0.53	  ($true != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))) @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: ((((^[Y2 : reg]: ((^[Y3 : reg]: ((~ (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: ((c @ Y5 @ Y6) & (~ ((^[Y7 : reg]: ((^[Y8 : reg]: (?? @ reg @ (^[Y9 : reg]: (((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y7) & ((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y8))))))) @ Y5 @ Y6)))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: ((c @ Y5 @ Y6) & (~ ((^[Y7 : reg]: ((^[Y8 : reg]: (?? @ reg @ (^[Y9 : reg]: (((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y7) & ((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y8))))))) @ Y5 @ Y6)))))) @ Y4 @ Y3))))) & ((^[Y4 : reg]: ((^[Y5 : reg]: (((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4)))))) @ Y2 @ Y3))))) @ france @ Y1) & ((^[Y2 : reg]: ((^[Y3 : reg]: ((~ (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: ((c @ Y5 @ Y6) & (~ ((^[Y7 : reg]: ((^[Y8 : reg]: (?? @ reg @ (^[Y9 : reg]: (((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y7) & ((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y8))))))) @ Y5 @ Y6)))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: ((c @ Y5 @ Y6) & (~ ((^[Y7 : reg]: ((^[Y8 : reg]: (?? @ reg @ (^[Y9 : reg]: (((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y7) & ((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y8))))))) @ Y5 @ Y6)))))) @ Y4 @ Y3))))) & ((^[Y4 : reg]: ((^[Y5 : reg]: (((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4)))))) @ Y2 @ Y3))))) @ spain @ Y1)) => (((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3) & (~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)))))) @ catalunya @ Y1) & ((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3) & (~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)))))) @ paris @ Y1)))))))))),
0.23/0.53	  inference(definition_unfolding,[],[f190,f181,f154,f212,f212,f210,f210])).
0.23/0.53	thf(f210,plain,(
0.23/0.53	  (pp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y0 @ Y1) & (~ ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y1 @ Y0)))))))),
0.23/0.53	  inference(definition_unfolding,[],[f160,f170,f170])).
0.23/0.53	thf(f170,plain,(
0.23/0.53	  (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
0.23/0.53	  inference(cnf_transformation,[],[f143])).
0.23/0.53	thf(f143,plain,(
0.23/0.53	  (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
0.23/0.53	  inference(fool_elimination,[],[f142])).
0.23/0.53	thf(f142,plain,(
0.23/0.53	  (p = (^[X0 : reg, X1 : reg] : (! [X2 : reg] : ((c @ X2 @ X0) => (c @ X2 @ X1)))))),
0.23/0.53	  inference(rectify,[],[f33])).
0.23/0.53	thf(f33,axiom,(
0.23/0.53	  (p = (^[X0 : reg, X1 : reg] : (! [X11 : reg] : ((c @ X11 @ X0) => (c @ X11 @ X1)))))),
0.23/0.53	  file('/export/starexec/sandbox/tmp/tmp.JY1GGxSaWB/E---3.1_15666.p',p)).
0.23/0.53	thf(f160,plain,(
0.23/0.53	  (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (~ (p @ Y1 @ Y0)))))))),
0.23/0.53	  inference(cnf_transformation,[],[f98])).
0.23/0.53	thf(f98,plain,(
0.23/0.53	  (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (~ (p @ Y1 @ Y0)))))))),
0.23/0.53	  inference(fool_elimination,[],[f97])).
0.23/0.53	thf(f97,plain,(
0.23/0.53	  (pp = (^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (p @ X0 @ X1))))),
0.23/0.53	  inference(rectify,[],[f38])).
0.23/0.53	thf(f38,axiom,(
0.23/0.53	  (pp = (^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (p @ X0 @ X1))))),
0.23/0.53	  file('/export/starexec/sandbox/tmp/tmp.JY1GGxSaWB/E---3.1_15666.p',pp)).
0.23/0.53	thf(f212,plain,(
0.23/0.53	  (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[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)))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[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)))))) @ Y2 @ Y1))))) & ((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3) & (~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)))))) @ Y0 @ Y1))))))),
0.23/0.53	  inference(definition_unfolding,[],[f162,f209,f209,f210])).
0.23/0.53	thf(f209,plain,(
0.23/0.53	  (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ ((^[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)))))))),
0.23/0.53	  inference(definition_unfolding,[],[f178,f207])).
0.23/0.53	thf(f207,plain,(
0.23/0.53	  (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))))))))),
0.23/0.53	  inference(definition_unfolding,[],[f192,f170,f170])).
0.23/0.53	thf(f192,plain,(
0.23/0.53	  (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y0) & (p @ Y2 @ Y1))))))))),
0.23/0.53	  inference(cnf_transformation,[],[f145])).
0.23/0.53	thf(f145,plain,(
0.23/0.53	  (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y0) & (p @ Y2 @ Y1))))))))),
0.23/0.53	  inference(fool_elimination,[],[f144])).
0.23/0.53	thf(f144,plain,(
0.23/0.53	  (o = (^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((p @ X2 @ X1) & (p @ X2 @ X0)))))),
0.23/0.53	  inference(rectify,[],[f35])).
0.23/0.53	thf(f35,axiom,(
0.23/0.53	  (o = (^[X0 : reg, X1 : reg] : (? [X11 : reg] : ((p @ X11 @ X1) & (p @ X11 @ X0)))))),
0.23/0.53	  file('/export/starexec/sandbox/tmp/tmp.JY1GGxSaWB/E---3.1_15666.p',o)).
0.23/0.53	thf(f178,plain,(
0.23/0.53	  (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ (o @ Y0 @ Y1)))))))),
0.23/0.53	  inference(cnf_transformation,[],[f131])).
0.23/0.53	thf(f131,plain,(
0.23/0.53	  (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ (o @ Y0 @ Y1)))))))),
0.23/0.53	  inference(fool_elimination,[],[f130])).
0.23/0.53	thf(f130,plain,(
0.23/0.53	  (ec = (^[X0 : reg, X1 : reg] : (~(o @ X0 @ X1) & (c @ X0 @ X1))))),
0.23/0.53	  inference(rectify,[],[f37])).
0.23/0.53	thf(f37,axiom,(
0.23/0.53	  (ec = (^[X0 : reg, X1 : reg] : (~(o @ X0 @ X1) & (c @ X0 @ X1))))),
0.23/0.53	  file('/export/starexec/sandbox/tmp/tmp.JY1GGxSaWB/E---3.1_15666.p',ec)).
0.23/0.53	thf(f162,plain,(
0.23/0.53	  (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))) & (pp @ Y0 @ Y1))))))),
0.23/0.53	  inference(cnf_transformation,[],[f59])).
0.23/0.53	thf(f59,plain,(
0.23/0.53	  (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))) & (pp @ Y0 @ Y1))))))),
0.23/0.53	  inference(fool_elimination,[],[f58])).
0.23/0.53	thf(f58,plain,(
0.23/0.53	  (ntpp = (^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ~? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)))))),
0.23/0.53	  inference(rectify,[],[f40])).
0.23/0.53	thf(f40,axiom,(
0.23/0.53	  (ntpp = (^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ~? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)))))),
0.23/0.53	  file('/export/starexec/sandbox/tmp/tmp.JY1GGxSaWB/E---3.1_15666.p',ntpp)).
0.23/0.53	thf(f154,plain,(
0.23/0.53	  (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
0.23/0.53	  inference(cnf_transformation,[],[f77])).
0.23/0.53	thf(f77,plain,(
0.23/0.53	  (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
0.23/0.53	  inference(fool_elimination,[],[f76])).
0.23/0.53	thf(f76,plain,(
0.23/0.53	  (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : (~(X0 @ X2 @ X3) | (X1 @ X3)))))),
0.23/0.53	  inference(rectify,[],[f16])).
0.23/0.53	thf(f16,axiom,(
0.23/0.53	  (mbox = (^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : (~(X6 @ X2 @ X7) | (X3 @ X7)))))),
0.23/0.53	  file('/export/starexec/sandbox/tmp/tmp.JY1GGxSaWB/E---3.1_15666.p',mbox)).
0.23/0.53	thf(f181,plain,(
0.23/0.53	  (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
0.23/0.53	  inference(cnf_transformation,[],[f69])).
0.23/0.53	thf(f69,plain,(
0.23/0.53	  (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
0.23/0.53	  inference(fool_elimination,[],[f68])).
0.23/0.53	thf(f68,plain,(
0.23/0.53	  (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
0.23/0.53	  inference(rectify,[],[f28])).
0.23/0.53	thf(f28,axiom,(
0.23/0.53	  (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
0.23/0.53	  file('/export/starexec/sandbox/tmp/tmp.JY1GGxSaWB/E---3.1_15666.p',mvalid)).
0.23/0.53	thf(f190,plain,(
0.23/0.53	  ($true != (mvalid @ (mbox @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: (((ntpp @ france @ Y1) & (ntpp @ spain @ Y1)) => ((pp @ catalunya @ Y1) & (pp @ paris @ Y1)))))))))),
0.23/0.53	  inference(cnf_transformation,[],[f146])).
0.23/0.53	thf(f146,plain,(
0.23/0.53	  ($true != (mvalid @ (mbox @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: (((ntpp @ france @ Y1) & (ntpp @ spain @ Y1)) => ((pp @ catalunya @ Y1) & (pp @ paris @ Y1)))))))))),
0.23/0.53	  inference(flattening,[],[f67])).
0.23/0.53	thf(f67,plain,(
0.23/0.53	  ~($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: (((ntpp @ france @ Y1) & (ntpp @ spain @ Y1)) => ((pp @ catalunya @ Y1) & (pp @ paris @ Y1)))))))))),
0.23/0.53	  inference(fool_elimination,[],[f66])).
0.23/0.53	thf(f66,plain,(
0.23/0.53	  ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X1 : reg] : (((ntpp @ spain @ X1) & (ntpp @ france @ X1)) => ((pp @ paris @ X1) & (pp @ catalunya @ X1)))))))),
0.23/0.53	  inference(rectify,[],[f49])).
0.23/0.53	thf(f49,negated_conjecture,(
0.23/0.53	  ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X11 : reg] : (((ntpp @ spain @ X11) & (ntpp @ france @ X11)) => ((pp @ paris @ X11) & (pp @ catalunya @ X11)))))))),
0.23/0.53	  inference(negated_conjecture,[],[f48])).
0.23/0.53	thf(f48,conjecture,(
0.23/0.53	  (mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X11 : reg] : (((ntpp @ spain @ X11) & (ntpp @ france @ X11)) => ((pp @ paris @ X11) & (pp @ catalunya @ X11)))))))),
0.23/0.53	  file('/export/starexec/sandbox/tmp/tmp.JY1GGxSaWB/E---3.1_15666.p',con)).
0.23/0.53	thf(f608,plain,(
0.23/0.53	  ( ! [X3 : reg] : (($true = (c @ X3 @ france)) | ((c @ X3 @ paris) = $false)) ) | ~spl0_10),
0.23/0.53	  inference(avatar_component_clause,[],[f607])).
0.23/0.53	thf(f607,plain,(
0.23/0.53	  spl0_10 <=> ! [X3 : reg] : (($true = (c @ X3 @ france)) | ((c @ X3 @ paris) = $false))),
0.23/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
0.23/0.53	thf(f658,plain,(
0.23/0.53	  ((c @ sK20 @ paris) = $true) | ~spl0_22),
0.23/0.53	  inference(avatar_component_clause,[],[f656])).
0.23/0.53	thf(f656,plain,(
0.23/0.53	  spl0_22 <=> ((c @ sK20 @ paris) = $true)),
0.23/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl0_22])])).
0.23/0.53	thf(f1031,plain,(
0.23/0.53	  ~spl0_16 | ~spl0_20 | ~spl0_35),
0.23/0.53	  inference(avatar_contradiction_clause,[],[f1030])).
0.23/0.53	thf(f1030,plain,(
0.23/0.53	  $false | (~spl0_16 | ~spl0_20 | ~spl0_35)),
0.23/0.53	  inference(trivial_inequality_removal,[],[f1029])).
0.23/0.53	thf(f1029,plain,(
0.23/0.53	  ($true = $false) | (~spl0_16 | ~spl0_20 | ~spl0_35)),
0.23/0.53	  inference(backward_demodulation,[],[f649,f1028])).
0.23/0.53	thf(f1028,plain,(
0.23/0.53	  ((c @ sK19 @ catalunya) = $false) | (~spl0_16 | ~spl0_35)),
0.23/0.53	  inference(trivial_inequality_removal,[],[f1020])).
0.23/0.53	thf(f1020,plain,(
0.23/0.53	  ((c @ sK19 @ catalunya) = $false) | ($true = $false) | (~spl0_16 | ~spl0_35)),
0.23/0.53	  inference(superposition,[],[f1018,f714])).
0.23/0.53	thf(f714,plain,(
0.23/0.53	  ( ! [X3 : reg] : (($true = (c @ X3 @ spain)) | ((c @ X3 @ catalunya) = $false)) ) | ~spl0_35),
0.23/0.53	  inference(avatar_component_clause,[],[f713])).
0.23/0.53	thf(f713,plain,(
0.23/0.53	  spl0_35 <=> ! [X3 : reg] : (((c @ X3 @ catalunya) = $false) | ($true = (c @ X3 @ spain)))),
0.23/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl0_35])])).
0.23/0.53	thf(f1018,plain,(
0.23/0.53	  ((c @ sK19 @ spain) = $false) | ~spl0_16),
0.23/0.53	  inference(trivial_inequality_removal,[],[f1014])).
0.23/0.53	thf(f1014,plain,(
0.23/0.53	  ((c @ sK19 @ spain) = $false) | ($true = $false) | ~spl0_16),
0.23/0.53	  inference(superposition,[],[f408,f632])).
0.23/0.53	thf(f632,plain,(
0.23/0.53	  ((c @ sK19 @ sK11) = $false) | ~spl0_16),
0.23/0.53	  inference(avatar_component_clause,[],[f630])).
0.23/0.53	thf(f630,plain,(
0.23/0.53	  spl0_16 <=> ((c @ sK19 @ sK11) = $false)),
0.23/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl0_16])])).
0.23/0.53	thf(f408,plain,(
0.23/0.53	  ( ! [X1 : reg] : (($true = (c @ X1 @ sK11)) | ((c @ X1 @ spain) = $false)) )),
0.23/0.53	  inference(binary_proxy_clausification,[],[f407])).
0.23/0.53	thf(f407,plain,(
0.23/0.53	  ( ! [X1 : reg] : (($true = ((c @ X1 @ spain) => (c @ X1 @ sK11)))) )),
0.23/0.53	  inference(beta_eta_normalization,[],[f406])).
0.23/0.53	thf(f406,plain,(
0.23/0.53	  ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ sK11))) @ X1))) )),
0.23/0.53	  inference(pi_clausification,[],[f405])).
0.23/0.53	thf(f405,plain,(
0.23/0.53	  ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ sK11)))) = $true)),
0.23/0.53	  inference(binary_proxy_clausification,[],[f363])).
0.23/0.53	thf(f363,plain,(
0.23/0.53	  (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ sK11)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ spain)))))) = $true)),
0.23/0.53	  inference(binary_proxy_clausification,[],[f307])).
0.23/0.53	thf(f307,plain,(
0.23/0.53	  ($true = ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain))))))))) & ((c @ Y0 @ sK11) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK11))))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ sK11)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ spain))))))))),
0.23/0.53	  inference(binary_proxy_clausification,[],[f306])).
0.23/0.53	thf(f649,plain,(
0.23/0.53	  ((c @ sK19 @ catalunya) = $true) | ~spl0_20),
0.23/0.53	  inference(avatar_component_clause,[],[f647])).
0.23/0.53	thf(f647,plain,(
0.23/0.53	  spl0_20 <=> ((c @ sK19 @ catalunya) = $true)),
0.23/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl0_20])])).
0.23/0.53	thf(f940,plain,(
0.23/0.53	  ~spl0_10 | ~spl0_18 | ~spl0_19),
0.23/0.53	  inference(avatar_contradiction_clause,[],[f939])).
0.23/0.53	thf(f939,plain,(
0.23/0.53	  $false | (~spl0_10 | ~spl0_18 | ~spl0_19)),
0.23/0.53	  inference(trivial_inequality_removal,[],[f938])).
0.23/0.53	thf(f938,plain,(
0.23/0.53	  ($true = $false) | (~spl0_10 | ~spl0_18 | ~spl0_19)),
0.23/0.53	  inference(backward_demodulation,[],[f644,f936])).
0.23/0.53	thf(f936,plain,(
0.23/0.53	  ((c @ sK21 @ paris) = $false) | (~spl0_10 | ~spl0_18)),
0.23/0.53	  inference(trivial_inequality_removal,[],[f929])).
0.23/0.53	thf(f929,plain,(
0.23/0.53	  ($true = $false) | ((c @ sK21 @ paris) = $false) | (~spl0_10 | ~spl0_18)),
0.23/0.53	  inference(superposition,[],[f927,f608])).
0.23/0.53	thf(f927,plain,(
0.23/0.53	  ((c @ sK21 @ france) = $false) | ~spl0_18),
0.23/0.53	  inference(trivial_inequality_removal,[],[f924])).
0.23/0.53	thf(f924,plain,(
0.23/0.53	  ($true = $false) | ((c @ sK21 @ france) = $false) | ~spl0_18),
0.23/0.53	  inference(superposition,[],[f357,f639])).
0.23/0.53	thf(f639,plain,(
0.23/0.53	  ((c @ sK21 @ sK11) = $false) | ~spl0_18),
0.23/0.53	  inference(avatar_component_clause,[],[f637])).
0.23/0.53	thf(f637,plain,(
0.23/0.53	  spl0_18 <=> ((c @ sK21 @ sK11) = $false)),
0.23/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl0_18])])).
0.23/0.53	thf(f644,plain,(
0.23/0.53	  ($true = (c @ sK21 @ paris)) | ~spl0_19),
0.23/0.53	  inference(avatar_component_clause,[],[f642])).
0.23/0.53	thf(f642,plain,(
0.23/0.53	  spl0_19 <=> ($true = (c @ sK21 @ paris))),
0.23/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl0_19])])).
0.23/0.53	thf(f899,plain,(
0.23/0.53	  ~spl0_17 | ~spl0_35),
0.23/0.53	  inference(avatar_contradiction_clause,[],[f898])).
0.23/0.53	thf(f898,plain,(
0.23/0.53	  $false | (~spl0_17 | ~spl0_35)),
0.23/0.53	  inference(trivial_inequality_removal,[],[f897])).
0.23/0.53	thf(f897,plain,(
0.23/0.53	  ($true = $false) | (~spl0_17 | ~spl0_35)),
0.23/0.53	  inference(backward_demodulation,[],[f413,f896])).
0.23/0.53	thf(f896,plain,(
0.23/0.53	  ((c @ sK18 @ sK11) = $false) | (~spl0_17 | ~spl0_35)),
0.23/0.53	  inference(trivial_inequality_removal,[],[f892])).
0.23/0.53	thf(f892,plain,(
0.23/0.53	  ((c @ sK18 @ sK11) = $false) | ($true = $false) | (~spl0_17 | ~spl0_35)),
0.23/0.53	  inference(superposition,[],[f854,f635])).
0.23/0.53	thf(f635,plain,(
0.23/0.53	  ( ! [X1 : reg] : (($true = (c @ X1 @ catalunya)) | ((c @ X1 @ sK11) = $false)) ) | ~spl0_17),
0.23/0.53	  inference(avatar_component_clause,[],[f634])).
0.23/0.53	thf(f634,plain,(
0.23/0.53	  spl0_17 <=> ! [X1 : reg] : (((c @ X1 @ sK11) = $false) | ($true = (c @ X1 @ catalunya)))),
0.23/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl0_17])])).
0.23/0.53	thf(f854,plain,(
0.23/0.53	  ((c @ sK18 @ catalunya) = $false) | ~spl0_35),
0.23/0.53	  inference(trivial_inequality_removal,[],[f851])).
0.23/0.53	thf(f851,plain,(
0.23/0.53	  ((c @ sK18 @ catalunya) = $false) | ($true = $false) | ~spl0_35),
0.23/0.53	  inference(superposition,[],[f714,f412])).
0.23/0.53	thf(f412,plain,(
0.23/0.53	  ((c @ sK18 @ spain) = $false)),
0.23/0.53	  inference(binary_proxy_clausification,[],[f411])).
0.23/0.53	thf(f411,plain,(
0.23/0.53	  (((c @ sK18 @ sK11) => (c @ sK18 @ spain)) = $false)),
0.23/0.53	  inference(beta_eta_normalization,[],[f410])).
0.23/0.53	thf(f410,plain,(
0.23/0.53	  (((^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ spain))) @ sK18) = $false)),
0.23/0.53	  inference(sigma_clausification,[],[f409])).
0.23/0.53	thf(f409,plain,(
0.23/0.53	  ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ spain)))) = $false)),
0.23/0.53	  inference(not_proxy_clausification,[],[f404])).
0.23/0.53	thf(f404,plain,(
0.23/0.53	  ($true = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ spain))))))),
0.23/0.53	  inference(binary_proxy_clausification,[],[f363])).
0.23/0.53	thf(f413,plain,(
0.23/0.53	  ((c @ sK18 @ sK11) = $true)),
0.23/0.53	  inference(binary_proxy_clausification,[],[f411])).
0.23/0.53	thf(f886,plain,(
0.23/0.53	  ~spl0_10 | ~spl0_15),
0.23/0.53	  inference(avatar_contradiction_clause,[],[f885])).
0.23/0.53	thf(f885,plain,(
0.23/0.53	  $false | (~spl0_10 | ~spl0_15)),
0.23/0.53	  inference(trivial_inequality_removal,[],[f884])).
0.23/0.53	thf(f884,plain,(
0.23/0.53	  ($true = $false) | (~spl0_10 | ~spl0_15)),
0.23/0.53	  inference(backward_demodulation,[],[f362,f881])).
0.23/0.53	thf(f881,plain,(
0.23/0.53	  ((c @ sK15 @ sK11) = $false) | (~spl0_10 | ~spl0_15)),
0.23/0.53	  inference(trivial_inequality_removal,[],[f876])).
0.23/0.53	thf(f876,plain,(
0.23/0.53	  ((c @ sK15 @ sK11) = $false) | ($true = $false) | (~spl0_10 | ~spl0_15)),
0.23/0.53	  inference(superposition,[],[f628,f829])).
0.23/0.53	thf(f829,plain,(
0.23/0.53	  ((c @ sK15 @ paris) = $false) | ~spl0_10),
0.23/0.53	  inference(trivial_inequality_removal,[],[f826])).
0.23/0.53	thf(f826,plain,(
0.23/0.53	  ((c @ sK15 @ paris) = $false) | ($true = $false) | ~spl0_10),
0.23/0.53	  inference(superposition,[],[f608,f361])).
0.23/0.53	thf(f361,plain,(
0.23/0.53	  ($false = (c @ sK15 @ france))),
0.23/0.53	  inference(binary_proxy_clausification,[],[f360])).
0.23/0.53	thf(f360,plain,(
0.23/0.53	  (((c @ sK15 @ sK11) => (c @ sK15 @ france)) = $false)),
0.23/0.53	  inference(beta_eta_normalization,[],[f359])).
0.23/0.53	thf(f359,plain,(
0.23/0.53	  (((^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ france))) @ sK15) = $false)),
0.23/0.53	  inference(sigma_clausification,[],[f358])).
0.23/0.53	thf(f358,plain,(
0.23/0.53	  ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ france)))) = $false)),
0.23/0.53	  inference(not_proxy_clausification,[],[f353])).
0.23/0.53	thf(f353,plain,(
0.23/0.53	  ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ france))))) = $true)),
0.23/0.53	  inference(binary_proxy_clausification,[],[f309])).
0.23/0.53	thf(f628,plain,(
0.23/0.53	  ( ! [X2 : reg] : (($true = (c @ X2 @ paris)) | ((c @ X2 @ sK11) = $false)) ) | ~spl0_15),
0.23/0.53	  inference(avatar_component_clause,[],[f627])).
0.23/0.53	thf(f627,plain,(
0.23/0.53	  spl0_15 <=> ! [X2 : reg] : (($true = (c @ X2 @ paris)) | ((c @ X2 @ sK11) = $false))),
0.23/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl0_15])])).
0.23/0.53	thf(f362,plain,(
0.23/0.53	  ((c @ sK15 @ sK11) = $true)),
0.23/0.53	  inference(binary_proxy_clausification,[],[f360])).
0.23/0.53	thf(f718,plain,(
0.23/0.53	  ~spl0_7),
0.23/0.53	  inference(avatar_contradiction_clause,[],[f717])).
0.23/0.53	thf(f717,plain,(
0.23/0.53	  $false | ~spl0_7),
0.23/0.53	  inference(trivial_inequality_removal,[],[f716])).
0.23/0.53	thf(f716,plain,(
0.23/0.53	  ($true = $false) | ~spl0_7),
0.23/0.53	  inference(backward_demodulation,[],[f453,f595])).
0.23/0.53	thf(f595,plain,(
0.23/0.53	  ( ! [X2 : $i,X1 : $i] : (((a @ X1 @ X2) = $false)) ) | ~spl0_7),
0.23/0.53	  inference(avatar_component_clause,[],[f594])).
0.23/0.53	thf(f594,plain,(
0.23/0.53	  spl0_7 <=> ! [X2,X1] : ((a @ X1 @ X2) = $false)),
0.23/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
0.23/0.53	thf(f453,plain,(
0.23/0.53	  ($true = (a @ sK9 @ sK10))),
0.23/0.53	  inference(not_proxy_clausification,[],[f301])).
0.23/0.53	thf(f301,plain,(
0.23/0.53	  ((~ (a @ sK9 @ sK10)) = $false)),
0.23/0.53	  inference(binary_proxy_clausification,[],[f300])).
0.23/0.53	thf(f715,plain,(
0.23/0.53	  spl0_35 | spl0_7),
0.23/0.53	  inference(avatar_split_clause,[],[f233,f594,f713])).
0.23/0.53	thf(f233,plain,(
0.23/0.53	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (((c @ X3 @ catalunya) = $false) | ($true = (c @ X3 @ spain)) | ((a @ X1 @ X2) = $false)) )),
0.23/0.53	  inference(binary_proxy_clausification,[],[f232])).
0.23/0.53	thf(f232,plain,(
0.23/0.53	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (((a @ X1 @ X2) = $false) | ($true = ((c @ X3 @ catalunya) => (c @ X3 @ spain)))) )),
0.23/0.53	  inference(beta_eta_normalization,[],[f231])).
0.23/0.53	thf(f231,plain,(
0.23/0.53	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))) @ X3)) | ((a @ X1 @ X2) = $false)) )),
0.23/0.53	  inference(pi_clausification,[],[f230])).
0.23/0.53	thf(f230,plain,(
0.23/0.53	  ( ! [X2 : $i,X1 : $i] : (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) = $true) | ((a @ X1 @ X2) = $false)) )),
0.23/0.53	  inference(binary_proxy_clausification,[],[f228])).
0.23/0.53	thf(f228,plain,(
0.23/0.53	  ( ! [X2 : $i,X1 : $i] : (((a @ X1 @ X2) = $false) | ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))))) )),
0.23/0.53	  inference(not_proxy_clausification,[],[f227])).
0.23/0.53	thf(f227,plain,(
0.23/0.53	  ( ! [X2 : $i,X1 : $i] : (($true = (~ (a @ X1 @ X2))) | ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))))) )),
0.23/0.53	  inference(binary_proxy_clausification,[],[f225])).
0.23/0.53	thf(f225,plain,(
0.23/0.53	  ( ! [X2 : $i,X1 : $i] : (((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))) & (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain))))))))) & ((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))))))))) = $true) | ($true = (~ (a @ X1 @ X2)))) )),
0.23/0.53	  inference(binary_proxy_clausification,[],[f224])).
0.23/0.53	thf(f224,plain,(
0.23/0.53	  ( ! [X2 : $i,X1 : $i] : (($true = ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))) & (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain))))))))) & ((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))))))))) | (~ (a @ X1 @ X2))))) )),
0.23/0.53	  inference(beta_eta_normalization,[],[f223])).
0.23/0.53	thf(f223,plain,(
0.23/0.53	  ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya)))))) & (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ spain) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain))))))))) & ((c @ Y1 @ catalunya) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya))))))))))))) | (~ (a @ X1 @ Y0)))) @ X2))) )),
0.23/0.53	  inference(pi_clausification,[],[f222])).
0.23/0.53	thf(f222,plain,(
0.23/0.53	  ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya)))))) & (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ spain) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain))))))))) & ((c @ Y1 @ catalunya) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya))))))))))))) | (~ (a @ X1 @ Y0))))))) )),
0.23/0.53	  inference(beta_eta_normalization,[],[f221])).
0.23/0.53	thf(f221,plain,(
0.23/0.53	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya)))))) & (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ spain) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain))))))))) & ((c @ Y2 @ catalunya) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya))))))))))))) | (~ (a @ Y0 @ Y1)))))) @ X1) = $true)) )),
0.23/0.53	  inference(pi_clausification,[],[f220])).
0.23/0.53	thf(f220,plain,(
0.23/0.53	  ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya)))))) & (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ spain) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain))))))))) & ((c @ Y2 @ catalunya) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya))))))))))))) | (~ (a @ Y0 @ Y1))))))))),
0.23/0.53	  inference(beta_eta_normalization,[],[f216])).
0.23/0.53	thf(f216,plain,(
0.23/0.53	  ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ 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))))))) @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)))))) @ Y1 @ Y2) & (?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[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)))))) @ Y3 @ Y2) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[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)))))) @ Y3 @ Y1)))))))) @ catalunya @ spain)))))),
0.23/0.53	  inference(definition_unfolding,[],[f159,f181,f154,f211])).
0.23/0.53	thf(f211,plain,(
0.23/0.53	  (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3) & (~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)))))) @ Y0 @ Y1) & (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[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)))))) @ Y2 @ Y1) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[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)))))) @ Y2 @ Y0)))))))))),
0.23/0.53	  inference(definition_unfolding,[],[f155,f210,f209,f209])).
0.23/0.53	thf(f155,plain,(
0.23/0.53	  (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y1) & (ec @ Y2 @ Y0)))))))))),
0.23/0.53	  inference(cnf_transformation,[],[f79])).
0.23/0.53	thf(f79,plain,(
0.23/0.53	  (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y1) & (ec @ Y2 @ Y0)))))))))),
0.23/0.53	  inference(fool_elimination,[],[f78])).
0.23/0.53	thf(f78,plain,(
0.23/0.53	  (tpp = (^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((ec @ X2 @ X0) & (ec @ X2 @ X1)) & (pp @ X0 @ X1))))),
0.23/0.53	  inference(rectify,[],[f39])).
0.23/0.53	thf(f39,axiom,(
0.23/0.53	  (tpp = (^[X0 : reg, X1 : reg] : (? [X11 : reg] : ((ec @ X11 @ X0) & (ec @ X11 @ X1)) & (pp @ X0 @ X1))))),
0.23/0.53	  file('/export/starexec/sandbox/tmp/tmp.JY1GGxSaWB/E---3.1_15666.p',tpp)).
0.23/0.53	thf(f159,plain,(
0.23/0.53	  ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))))),
0.23/0.53	  inference(cnf_transformation,[],[f139])).
0.23/0.53	thf(f139,plain,(
0.23/0.53	  ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))))),
0.23/0.53	  inference(fool_elimination,[],[f138])).
0.23/0.53	thf(f138,plain,(
0.23/0.53	  (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
0.23/0.53	  inference(rectify,[],[f43])).
0.23/0.53	thf(f43,axiom,(
0.23/0.53	  (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
0.23/0.53	  file('/export/starexec/sandbox/tmp/tmp.JY1GGxSaWB/E---3.1_15666.p',ax1)).
0.23/0.53	thf(f659,plain,(
0.23/0.53	  spl0_17 | spl0_20 | spl0_15 | spl0_22),
0.23/0.53	  inference(avatar_split_clause,[],[f432,f656,f627,f647,f634])).
0.23/0.53	thf(f432,plain,(
0.23/0.53	  ( ! [X2 : reg,X1 : reg] : (((c @ X1 @ sK11) = $false) | ((c @ X2 @ sK11) = $false) | ((c @ sK20 @ paris) = $true) | ($true = (c @ X2 @ paris)) | ((c @ sK19 @ catalunya) = $true) | ($true = (c @ X1 @ catalunya))) )),
0.23/0.53	  inference(binary_proxy_clausification,[],[f431])).
0.23/0.53	thf(f431,plain,(
0.23/0.53	  ( ! [X2 : reg,X1 : reg] : (($true = (c @ X1 @ catalunya)) | ((c @ X1 @ sK11) = $false) | ((c @ sK20 @ paris) = $true) | ($true = ((c @ X2 @ sK11) => (c @ X2 @ paris))) | ((c @ sK19 @ catalunya) = $true)) )),
0.23/0.53	  inference(beta_eta_normalization,[],[f430])).
0.23/0.53	thf(f430,plain,(
0.23/0.53	  ( ! [X2 : reg,X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris))) @ X2)) | ((c @ sK19 @ catalunya) = $true) | ((c @ X1 @ sK11) = $false) | ((c @ sK20 @ paris) = $true) | ($true = (c @ X1 @ catalunya))) )),
0.23/0.53	  inference(pi_clausification,[],[f429])).
0.23/0.53	thf(f429,plain,(
0.23/0.53	  ( ! [X1 : reg] : (($true = (c @ X1 @ catalunya)) | ((c @ sK19 @ catalunya) = $true) | ((c @ X1 @ sK11) = $false) | ((c @ sK20 @ paris) = $true) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris)))) = $true)) )),
0.23/0.53	  inference(binary_proxy_clausification,[],[f428])).
0.23/0.53	thf(f428,plain,(
0.23/0.53	  ( ! [X1 : reg] : (($true = ((c @ X1 @ sK11) => (c @ X1 @ catalunya))) | ((c @ sK20 @ paris) = $true) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris)))) = $true) | ((c @ sK19 @ catalunya) = $true)) )),
0.23/0.53	  inference(beta_eta_normalization,[],[f427])).
0.23/0.53	thf(f427,plain,(
0.23/0.53	  ( ! [X1 : reg] : (((c @ sK19 @ catalunya) = $true) | ((c @ sK20 @ paris) = $true) | (((^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ catalunya))) @ X1) = $true) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris)))) = $true)) )),
0.23/0.53	  inference(pi_clausification,[],[f426])).
0.23/0.53	thf(f426,plain,(
0.23/0.53	  ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ catalunya))))) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris)))) = $true) | ((c @ sK20 @ paris) = $true) | ((c @ sK19 @ catalunya) = $true)),
0.23/0.53	  inference(binary_proxy_clausification,[],[f424])).
0.23/0.53	thf(f424,plain,(
0.23/0.53	  (((c @ sK20 @ paris) => (c @ sK20 @ sK11)) = $false) | ((c @ sK19 @ catalunya) = $true) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris)))) = $true) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ catalunya)))))),
0.23/0.53	  inference(not_proxy_clausification,[],[f423])).
0.23/0.53	thf(f423,plain,(
0.23/0.53	  ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris))))) = $false) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ catalunya))))) | (((c @ sK20 @ paris) => (c @ sK20 @ sK11)) = $false) | ((c @ sK19 @ catalunya) = $true)),
0.23/0.53	  inference(beta_eta_normalization,[],[f422])).
0.23/0.53	thf(f422,plain,(
0.23/0.53	  ((c @ sK19 @ catalunya) = $true) | ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris))))) = $false) | (((^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK11))) @ sK20) = $false) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ catalunya)))))),
0.23/0.53	  inference(sigma_clausification,[],[f421])).
0.23/0.53	thf(f421,plain,(
0.23/0.53	  ((c @ sK19 @ catalunya) = $true) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK11)))) = $false) | ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris))))) = $false) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ catalunya)))))),
0.23/0.53	  inference(binary_proxy_clausification,[],[f419])).
0.23/0.53	thf(f419,plain,(
0.23/0.53	  (((c @ sK19 @ catalunya) => (c @ sK19 @ sK11)) = $false) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ catalunya))))) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK11)))) = $false) | ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris))))) = $false)),
0.23/0.53	  inference(binary_proxy_clausification,[],[f418])).
0.23/0.53	thf(f418,plain,(
0.23/0.53	  (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK11)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris)))))) = $false) | (((c @ sK19 @ catalunya) => (c @ sK19 @ sK11)) = $false) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ catalunya)))))),
0.23/0.53	  inference(not_proxy_clausification,[],[f417])).
0.23/0.53	thf(f417,plain,(
0.23/0.53	  ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ catalunya))))) = $false) | (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK11)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris)))))) = $false) | (((c @ sK19 @ catalunya) => (c @ sK19 @ sK11)) = $false)),
0.23/0.53	  inference(beta_eta_normalization,[],[f416])).
0.23/0.53	thf(f416,plain,(
0.23/0.53	  (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK11)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris)))))) = $false) | ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ catalunya))))) = $false) | (((^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK11))) @ sK19) = $false)),
0.23/0.53	  inference(sigma_clausification,[],[f415])).
0.23/0.53	thf(f415,plain,(
0.23/0.53	  ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK11)))) = $false) | ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ catalunya))))) = $false) | (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK11)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris)))))) = $false)),
0.23/0.53	  inference(binary_proxy_clausification,[],[f414])).
0.23/0.53	thf(f414,plain,(
0.23/0.53	  (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK11)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ catalunya)))))) = $false) | (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK11)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris)))))) = $false)),
0.23/0.53	  inference(binary_proxy_clausification,[],[f305])).
0.23/0.53	thf(f305,plain,(
0.23/0.53	  ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK11)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ catalunya)))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK11)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris))))))) = $false)),
0.23/0.53	  inference(binary_proxy_clausification,[],[f304])).
0.23/0.53	thf(f654,plain,(
0.23/0.53	  spl0_20 | spl0_17 | spl0_15 | spl0_21),
0.23/0.53	  inference(avatar_split_clause,[],[f438,f651,f627,f634,f647])).
0.23/0.53	thf(f438,plain,(
0.23/0.53	  ( ! [X2 : reg,X1 : reg] : (($false = (c @ sK20 @ sK11)) | ($true = (c @ X1 @ catalunya)) | ((c @ X2 @ sK11) = $false) | ($true = (c @ X2 @ paris)) | ((c @ sK19 @ catalunya) = $true) | ((c @ X1 @ sK11) = $false)) )),
0.23/0.53	  inference(binary_proxy_clausification,[],[f437])).
0.23/0.53	thf(f437,plain,(
0.23/0.53	  ( ! [X2 : reg,X1 : reg] : (((c @ sK19 @ catalunya) = $true) | ($true = (c @ X1 @ catalunya)) | ($true = ((c @ X2 @ sK11) => (c @ X2 @ paris))) | ($false = (c @ sK20 @ sK11)) | ((c @ X1 @ sK11) = $false)) )),
0.23/0.53	  inference(beta_eta_normalization,[],[f436])).
0.23/0.53	thf(f436,plain,(
0.23/0.53	  ( ! [X2 : reg,X1 : reg] : (($true = (c @ X1 @ catalunya)) | ((c @ sK19 @ catalunya) = $true) | ($false = (c @ sK20 @ sK11)) | ((c @ X1 @ sK11) = $false) | ($true = ((^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris))) @ X2))) )),
0.23/0.53	  inference(pi_clausification,[],[f435])).
0.23/0.53	thf(f435,plain,(
0.23/0.53	  ( ! [X1 : reg] : (((c @ X1 @ sK11) = $false) | ($false = (c @ sK20 @ sK11)) | ((c @ sK19 @ catalunya) = $true) | ($true = (c @ X1 @ catalunya)) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris)))) = $true)) )),
0.23/0.53	  inference(binary_proxy_clausification,[],[f434])).
0.23/0.53	thf(f434,plain,(
0.23/0.53	  ( ! [X1 : reg] : (($true = ((c @ X1 @ sK11) => (c @ X1 @ catalunya))) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris)))) = $true) | ($false = (c @ sK20 @ sK11)) | ((c @ sK19 @ catalunya) = $true)) )),
0.23/0.53	  inference(beta_eta_normalization,[],[f433])).
0.23/0.53	thf(f433,plain,(
0.23/0.53	  ( ! [X1 : reg] : (($false = (c @ sK20 @ sK11)) | (((^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ catalunya))) @ X1) = $true) | ((c @ sK19 @ catalunya) = $true) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris)))) = $true)) )),
0.23/0.53	  inference(pi_clausification,[],[f425])).
0.23/0.53	thf(f425,plain,(
0.23/0.53	  ((c @ sK19 @ catalunya) = $true) | ($false = (c @ sK20 @ sK11)) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ catalunya))))) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris)))) = $true)),
0.23/0.53	  inference(binary_proxy_clausification,[],[f424])).
0.23/0.53	thf(f645,plain,(
0.23/0.53	  spl0_15 | spl0_17 | spl0_16 | spl0_19),
0.23/0.53	  inference(avatar_split_clause,[],[f449,f642,f630,f634,f627])).
0.23/0.53	thf(f449,plain,(
0.23/0.53	  ( ! [X2 : reg,X1 : reg] : (($true = (c @ sK21 @ paris)) | ((c @ sK19 @ sK11) = $false) | ($true = (c @ X1 @ catalunya)) | ((c @ X1 @ sK11) = $false) | ($true = (c @ X2 @ paris)) | ((c @ X2 @ sK11) = $false)) )),
0.23/0.53	  inference(binary_proxy_clausification,[],[f448])).
0.23/0.53	thf(f448,plain,(
0.23/0.53	  ( ! [X2 : reg,X1 : reg] : (($true = (c @ sK21 @ paris)) | ((c @ X1 @ sK11) = $false) | ((c @ sK19 @ sK11) = $false) | ($true = ((c @ X2 @ sK11) => (c @ X2 @ paris))) | ($true = (c @ X1 @ catalunya))) )),
0.23/0.53	  inference(beta_eta_normalization,[],[f447])).
0.23/0.53	thf(f447,plain,(
0.23/0.53	  ( ! [X2 : reg,X1 : reg] : (($true = (c @ sK21 @ paris)) | ($true = (c @ X1 @ catalunya)) | ((c @ X1 @ sK11) = $false) | ((c @ sK19 @ sK11) = $false) | ($true = ((^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris))) @ X2))) )),
0.23/0.53	  inference(pi_clausification,[],[f446])).
0.23/0.53	thf(f446,plain,(
0.23/0.53	  ( ! [X1 : reg] : (($true = (c @ sK21 @ paris)) | ((c @ X1 @ sK11) = $false) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris)))) = $true) | ((c @ sK19 @ sK11) = $false) | ($true = (c @ X1 @ catalunya))) )),
0.23/0.53	  inference(binary_proxy_clausification,[],[f444])).
0.23/0.53	thf(f444,plain,(
0.23/0.53	  ( ! [X1 : reg] : (((c @ sK19 @ sK11) = $false) | (((c @ sK21 @ paris) => (c @ sK21 @ sK11)) = $false) | ((c @ X1 @ sK11) = $false) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris)))) = $true) | ($true = (c @ X1 @ catalunya))) )),
0.23/0.53	  inference(beta_eta_normalization,[],[f443])).
0.23/0.53	thf(f443,plain,(
0.23/0.53	  ( ! [X1 : reg] : (((c @ sK19 @ sK11) = $false) | ($false = ((^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK11))) @ sK21)) | ((c @ X1 @ sK11) = $false) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris)))) = $true) | ($true = (c @ X1 @ catalunya))) )),
0.23/0.53	  inference(sigma_clausification,[],[f442])).
0.23/0.53	thf(f442,plain,(
0.23/0.53	  ( ! [X1 : reg] : (((c @ sK19 @ sK11) = $false) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK11)))) = $false) | ((c @ X1 @ sK11) = $false) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris)))) = $true) | ($true = (c @ X1 @ catalunya))) )),
0.23/0.53	  inference(binary_proxy_clausification,[],[f441])).
0.23/0.53	thf(f441,plain,(
0.23/0.53	  ( ! [X1 : reg] : (($true = ((c @ X1 @ sK11) => (c @ X1 @ catalunya))) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK11)))) = $false) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris)))) = $true) | ((c @ sK19 @ sK11) = $false)) )),
0.23/0.53	  inference(not_proxy_clausification,[],[f440])).
0.23/0.53	thf(f440,plain,(
0.23/0.53	  ( ! [X1 : reg] : (((c @ sK19 @ sK11) = $false) | ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris))))) = $false) | ($true = ((c @ X1 @ sK11) => (c @ X1 @ catalunya))) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK11)))) = $false)) )),
0.23/0.53	  inference(beta_eta_normalization,[],[f439])).
0.23/0.53	thf(f439,plain,(
0.23/0.53	  ( ! [X1 : reg] : (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris))))) = $false) | ((c @ sK19 @ sK11) = $false) | (((^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ catalunya))) @ X1) = $true) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK11)))) = $false)) )),
0.23/0.53	  inference(pi_clausification,[],[f420])).
0.23/0.53	thf(f420,plain,(
0.23/0.53	  ((c @ sK19 @ sK11) = $false) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ catalunya))))) | ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris))))) = $false) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK11)))) = $false)),
0.23/0.53	  inference(binary_proxy_clausification,[],[f419])).
0.23/0.53	thf(f640,plain,(
0.23/0.53	  spl0_15 | spl0_16 | spl0_17 | spl0_18),
0.23/0.53	  inference(avatar_split_clause,[],[f452,f637,f634,f630,f627])).
0.23/0.53	thf(f452,plain,(
0.23/0.53	  ( ! [X2 : reg,X1 : reg] : (($true = (c @ X2 @ paris)) | ((c @ X1 @ sK11) = $false) | ((c @ X2 @ sK11) = $false) | ($true = (c @ X1 @ catalunya)) | ((c @ sK21 @ sK11) = $false) | ((c @ sK19 @ sK11) = $false)) )),
0.23/0.53	  inference(binary_proxy_clausification,[],[f451])).
0.23/0.53	thf(f451,plain,(
0.23/0.53	  ( ! [X2 : reg,X1 : reg] : (($true = (c @ X1 @ catalunya)) | ($true = ((c @ X2 @ sK11) => (c @ X2 @ paris))) | ((c @ X1 @ sK11) = $false) | ((c @ sK21 @ sK11) = $false) | ((c @ sK19 @ sK11) = $false)) )),
0.23/0.53	  inference(beta_eta_normalization,[],[f450])).
0.23/0.53	thf(f450,plain,(
0.23/0.53	  ( ! [X2 : reg,X1 : reg] : (((c @ X1 @ sK11) = $false) | ($true = ((^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris))) @ X2)) | ((c @ sK21 @ sK11) = $false) | ($true = (c @ X1 @ catalunya)) | ((c @ sK19 @ sK11) = $false)) )),
0.23/0.53	  inference(pi_clausification,[],[f445])).
0.23/0.53	thf(f445,plain,(
0.23/0.53	  ( ! [X1 : reg] : (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris)))) = $true) | ($true = (c @ X1 @ catalunya)) | ((c @ X1 @ sK11) = $false) | ((c @ sK21 @ sK11) = $false) | ((c @ sK19 @ sK11) = $false)) )),
0.23/0.53	  inference(binary_proxy_clausification,[],[f444])).
0.23/0.53	thf(f609,plain,(
0.23/0.53	  spl0_7 | spl0_10),
0.23/0.53	  inference(avatar_split_clause,[],[f504,f607,f594])).
0.23/0.53	thf(f504,plain,(
0.23/0.53	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = (c @ X3 @ france)) | ((c @ X3 @ paris) = $false) | ((a @ X1 @ X2) = $false)) )),
0.23/0.53	  inference(not_proxy_clausification,[],[f503])).
0.23/0.53	thf(f503,plain,(
0.23/0.53	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = (c @ X3 @ france)) | ($true = (~ (a @ X1 @ X2))) | ((c @ X3 @ paris) = $false)) )),
0.23/0.53	  inference(binary_proxy_clausification,[],[f502])).
0.23/0.53	thf(f502,plain,(
0.23/0.53	  ( ! [X2 : $i,X3 : reg,X1 : $i] : ((((c @ X3 @ paris) => (c @ X3 @ france)) = $true) | ($true = (~ (a @ X1 @ X2)))) )),
0.23/0.53	  inference(beta_eta_normalization,[],[f501])).
0.23/0.53	thf(f501,plain,(
0.23/0.53	  ( ! [X2 : $i,X3 : reg,X1 : $i] : ((((^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))) @ X3) = $true) | ($true = (~ (a @ X1 @ X2)))) )),
0.23/0.53	  inference(pi_clausification,[],[f500])).
0.23/0.53	thf(f500,plain,(
0.23/0.53	  ( ! [X2 : $i,X1 : $i] : (($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) | ($true = (~ (a @ X1 @ X2)))) )),
0.23/0.53	  inference(binary_proxy_clausification,[],[f460])).
0.23/0.53	thf(f460,plain,(
0.23/0.53	  ( ! [X2 : $i,X1 : $i] : ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) = $true) | ($true = (~ (a @ X1 @ X2)))) )),
0.23/0.53	  inference(binary_proxy_clausification,[],[f459])).
0.23/0.53	thf(f459,plain,(
0.23/0.53	  ( ! [X2 : $i,X1 : $i] : (($true = ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))))))) & ((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))))) | ($true = (~ (a @ X1 @ X2)))) )),
0.23/0.53	  inference(binary_proxy_clausification,[],[f458])).
0.23/0.53	thf(f458,plain,(
0.23/0.53	  ( ! [X2 : $i,X1 : $i] : (($true = (((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))))))) & ((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))))) | (~ (a @ X1 @ X2))))) )),
0.23/0.53	  inference(beta_eta_normalization,[],[f457])).
0.23/0.53	thf(f457,plain,(
0.23/0.53	  ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ paris) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris))))))))) & ((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))))))))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris))))))) | (~ (a @ X1 @ Y0)))) @ X2))) )),
0.23/0.53	  inference(pi_clausification,[],[f456])).
0.23/0.53	thf(f456,plain,(
0.23/0.53	  ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ paris) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris))))))))) & ((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))))))))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris))))))) | (~ (a @ X1 @ Y0))))))) )),
0.23/0.53	  inference(beta_eta_normalization,[],[f455])).
0.23/0.53	thf(f455,plain,(
0.23/0.53	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ paris) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris))))))))) & ((c @ Y2 @ france) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france))))))))))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris))))))) | (~ (a @ Y0 @ Y1)))))) @ X1) = $true)) )),
0.23/0.53	  inference(pi_clausification,[],[f454])).
0.23/0.53	thf(f454,plain,(
0.23/0.53	  ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ paris) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris))))))))) & ((c @ Y2 @ france) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france))))))))))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris))))))) | (~ (a @ Y0 @ Y1))))))))),
0.23/0.53	  inference(beta_eta_normalization,[],[f215])).
0.23/0.53	thf(f215,plain,(
0.23/0.53	  (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((~ (?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[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)))))) @ Y3 @ Y1) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[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)))))) @ Y3 @ Y2))))) & ((^[Y3 : reg]: ((^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)))))) @ Y1 @ Y2))))) @ paris @ france)))) = $true)),
0.23/0.53	  inference(definition_unfolding,[],[f153,f181,f154,f212])).
0.23/0.53	thf(f153,plain,(
0.23/0.53	  ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))))),
0.23/0.53	  inference(cnf_transformation,[],[f75])).
0.23/0.53	thf(f75,plain,(
0.23/0.53	  ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))))),
0.23/0.53	  inference(fool_elimination,[],[f74])).
0.23/0.53	thf(f74,plain,(
0.23/0.53	  (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
0.23/0.53	  inference(rectify,[],[f50])).
0.23/0.53	thf(f50,axiom,(
0.23/0.53	  (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
0.23/0.53	  file('/export/starexec/sandbox/tmp/tmp.JY1GGxSaWB/E---3.1_15666.p',ax3)).
0.23/0.53	% SZS output end Proof for E---3.1_15666
0.23/0.53	% (15801)------------------------------
0.23/0.53	% (15801)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.53	% (15801)Termination reason: Refutation
0.23/0.53	
0.23/0.53	% (15801)Memory used [KB]: 6524
0.23/0.53	% (15801)Time elapsed: 0.039 s
0.23/0.53	% (15801)Instructions burned: 85 (million)
0.23/0.53	% (15801)------------------------------
0.23/0.53	% (15801)------------------------------
0.23/0.53	% (15774)Success in time 0.15 s
0.23/0.53	EOF