0.00/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.10	% Command    : run_vampire %s %d THM
0.10/0.31	% Computer   : n018.cluster.edu
0.10/0.31	% Model      : x86_64 x86_64
0.10/0.31	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.31	% Memory     : 8042.1875MB
0.10/0.31	% OS         : Linux 3.10.0-693.el7.x86_64
0.10/0.31	% CPULimit   : 1920
0.10/0.31	% WCLimit    : 240
0.10/0.31	% DateTime   : Wed Jul 30 05:58:19 EDT 2025
0.10/0.31	% CPUTime    : 
0.16/0.32	This is a THF_ problem
0.16/0.32	Running higher-order theorem proving
0.18/0.33	Running /export/starexec/sandbox/solver/bin/vampire-hol --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --print_def_sorts on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.RNn540Kbzg/E---3.1_28565.p -m 16384 -t 240
0.18/0.35	% (28711)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_28565 for (2399ds/2Mi)
0.18/0.35	% (28713)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_28565 for (2399ds/275Mi)
0.18/0.35	% (28709)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_28565 for (2399ds/4Mi)
0.18/0.35	% (28710)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_28565 for (2399ds/27Mi)
0.18/0.35	% (28714)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_28565 for (2399ds/18Mi)
0.18/0.35	% (28708)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_28565 for (2399ds/183Mi)
0.18/0.35	% (28712)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_28565 for (2399ds/2Mi)
0.18/0.35	% (28711)Instruction limit reached!
0.18/0.35	% (28711)------------------------------
0.18/0.35	% (28711)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.35	% (28711)Termination reason: Unknown
0.18/0.35	% (28711)Termination phase: shuffling
0.18/0.35	% (28712)Instruction limit reached!
0.18/0.35	% (28712)------------------------------
0.18/0.35	% (28712)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.35	% (28712)Termination reason: Unknown
0.18/0.35	% (28712)Termination phase: shuffling
0.18/0.35	
0.18/0.35	% (28712)Memory used [KB]: 1023
0.18/0.35	% (28712)Time elapsed: 0.003 s
0.18/0.35	% (28712)Instructions burned: 3 (million)
0.18/0.35	% (28712)------------------------------
0.18/0.35	% (28712)------------------------------
0.18/0.35	
0.18/0.35	% (28711)Memory used [KB]: 1023
0.18/0.35	% (28711)Time elapsed: 0.003 s
0.18/0.35	% (28711)Instructions burned: 3 (million)
0.18/0.36	% (28711)------------------------------
0.18/0.36	% (28711)------------------------------
0.18/0.36	% (28709)Instruction limit reached!
0.18/0.36	% (28709)------------------------------
0.18/0.36	% (28709)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.36	% (28709)Termination reason: Unknown
0.18/0.36	% (28709)Termination phase: shuffling
0.18/0.36	
0.18/0.36	% (28709)Memory used [KB]: 1151
0.18/0.36	% (28709)Time elapsed: 0.004 s
0.18/0.36	% (28709)Instructions burned: 5 (million)
0.18/0.36	% (28709)------------------------------
0.18/0.36	% (28709)------------------------------
0.18/0.36	% (28713)Refutation not found, incomplete strategy
0.18/0.36	% (28713)------------------------------
0.18/0.36	% (28713)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.36	% (28713)Termination reason: Refutation not found, incomplete strategy
0.18/0.36	
0.18/0.36	
0.18/0.36	% (28713)Memory used [KB]: 5628
0.18/0.36	% (28713)Time elapsed: 0.007 s
0.18/0.36	% (28713)Instructions burned: 11 (million)
0.18/0.36	% (28713)------------------------------
0.18/0.36	% (28713)------------------------------
0.18/0.36	% (28714)Instruction limit reached!
0.18/0.36	% (28714)------------------------------
0.18/0.36	% (28714)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.36	% (28714)Termination reason: Unknown
0.18/0.36	% (28714)Termination phase: Saturation
0.18/0.36	
0.18/0.36	% (28714)Memory used [KB]: 5628
0.18/0.36	% (28714)Time elapsed: 0.009 s
0.18/0.36	% (28714)Instructions burned: 18 (million)
0.18/0.36	% (28714)------------------------------
0.18/0.36	% (28714)------------------------------
0.18/0.37	% (28710)Instruction limit reached!
0.18/0.37	% (28710)------------------------------
0.18/0.37	% (28710)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.37	% (28710)Termination reason: Unknown
0.18/0.37	% (28710)Termination phase: Saturation
0.18/0.37	
0.18/0.37	% (28710)Memory used [KB]: 5756
0.18/0.37	% (28710)Time elapsed: 0.014 s
0.18/0.37	% (28710)Instructions burned: 28 (million)
0.18/0.37	% (28710)------------------------------
0.18/0.37	% (28710)------------------------------
0.18/0.37	% (28715)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_28565 for (2399ds/3Mi)
0.18/0.37	% (28716)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_28565 for (2399ds/37Mi)
0.18/0.37	% (28715)Instruction limit reached!
0.18/0.37	% (28715)------------------------------
0.18/0.37	% (28715)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.37	% (28717)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_28565 for (2399ds/15Mi)
0.18/0.37	% (28715)Termination reason: Unknown
0.18/0.37	% (28715)Termination phase: shuffling
0.18/0.37	
0.18/0.37	% (28715)Memory used [KB]: 1023
0.18/0.37	% (28715)Time elapsed: 0.003 s
0.18/0.37	% (28715)Instructions burned: 3 (million)
0.18/0.37	% (28715)------------------------------
0.18/0.37	% (28715)------------------------------
0.18/0.38	% (28718)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_28565 for (2399ds/3Mi)
0.18/0.38	% (28718)Instruction limit reached!
0.18/0.38	% (28718)------------------------------
0.18/0.38	% (28718)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.38	% (28718)Termination reason: Unknown
0.18/0.38	% (28718)Termination phase: shuffling
0.18/0.38	
0.18/0.38	% (28718)Memory used [KB]: 1023
0.18/0.38	% (28718)Time elapsed: 0.003 s
0.18/0.38	% (28718)Instructions burned: 4 (million)
0.18/0.38	% (28718)------------------------------
0.18/0.38	% (28718)------------------------------
0.18/0.38	% (28719)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_28565 for (2399ds/1041Mi)
0.18/0.38	% (28717)Instruction limit reached!
0.18/0.38	% (28717)------------------------------
0.18/0.38	% (28717)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.38	% (28717)Termination reason: Unknown
0.18/0.38	% (28717)Termination phase: Saturation
0.18/0.38	
0.18/0.38	% (28717)Memory used [KB]: 1151
0.18/0.38	% (28717)Time elapsed: 0.008 s
0.18/0.38	% (28717)Instructions burned: 16 (million)
0.18/0.38	% (28717)------------------------------
0.18/0.38	% (28717)------------------------------
0.18/0.38	% (28720)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_28565 for (2399ds/7Mi)
0.18/0.39	% (28720)Instruction limit reached!
0.18/0.39	% (28720)------------------------------
0.18/0.39	% (28720)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.39	% (28720)Termination reason: Unknown
0.18/0.39	% (28720)Termination phase: SInE selection
0.18/0.39	
0.18/0.39	% (28720)Memory used [KB]: 1151
0.18/0.39	% (28720)Time elapsed: 0.005 s
0.18/0.39	% (28720)Instructions burned: 8 (million)
0.18/0.39	% (28720)------------------------------
0.18/0.39	% (28720)------------------------------
0.18/0.39	% (28721)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_28565 for (2399ds/16Mi)
0.18/0.39	% (28716)Instruction limit reached!
0.18/0.39	% (28716)------------------------------
0.18/0.39	% (28716)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.39	% (28716)Termination reason: Unknown
0.18/0.39	% (28716)Termination phase: Saturation
0.18/0.39	
0.18/0.39	% (28716)Memory used [KB]: 5884
0.18/0.39	% (28716)Time elapsed: 0.019 s
0.18/0.39	% (28716)Instructions burned: 37 (million)
0.18/0.39	% (28716)------------------------------
0.18/0.39	% (28716)------------------------------
0.18/0.39	% (28722)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_28565 for (2399ds/3Mi)
0.18/0.39	% (28721)Instruction limit reached!
0.18/0.39	% (28721)------------------------------
0.18/0.39	% (28721)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.39	% (28721)Termination reason: Unknown
0.18/0.39	% (28721)Termination phase: Saturation
0.18/0.39	
0.18/0.39	% (28721)Memory used [KB]: 5628
0.18/0.39	% (28721)Time elapsed: 0.009 s
0.18/0.39	% (28721)Instructions burned: 17 (million)
0.18/0.39	% (28721)------------------------------
0.18/0.39	% (28721)------------------------------
0.18/0.39	% (28723)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_28565 for (2399ds/3Mi)
0.18/0.39	% (28722)Instruction limit reached!
0.18/0.39	% (28722)------------------------------
0.18/0.39	% (28722)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.39	% (28722)Termination reason: Unknown
0.18/0.39	% (28722)Termination phase: shuffling
0.18/0.39	
0.18/0.39	% (28722)Memory used [KB]: 1151
0.18/0.39	% (28722)Time elapsed: 0.004 s
0.18/0.39	% (28722)Instructions burned: 4 (million)
0.18/0.39	% (28722)------------------------------
0.18/0.39	% (28722)------------------------------
0.18/0.40	% (28723)Instruction limit reached!
0.18/0.40	% (28723)------------------------------
0.18/0.40	% (28723)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.40	% (28723)Termination reason: Unknown
0.18/0.40	% (28723)Termination phase: shuffling
0.18/0.40	
0.18/0.40	% (28723)Memory used [KB]: 1023
0.18/0.40	% (28723)Time elapsed: 0.003 s
0.18/0.40	% (28723)Instructions burned: 4 (million)
0.18/0.40	% (28723)------------------------------
0.18/0.40	% (28723)------------------------------
0.18/0.40	% (28724)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_28565 for (2399ds/7Mi)
0.18/0.41	% (28724)Instruction limit reached!
0.18/0.41	% (28724)------------------------------
0.18/0.41	% (28724)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.41	% (28724)Termination reason: Unknown
0.18/0.41	% (28724)Termination phase: Property scanning
0.18/0.41	
0.18/0.41	% (28724)Memory used [KB]: 1151
0.18/0.41	% (28724)Time elapsed: 0.006 s
0.18/0.41	% (28724)Instructions burned: 8 (million)
0.18/0.41	% (28725)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_28565 for (2399ds/3Mi)
0.18/0.41	% (28724)------------------------------
0.18/0.41	% (28724)------------------------------
0.18/0.41	% (28725)Instruction limit reached!
0.18/0.41	% (28725)------------------------------
0.18/0.41	% (28725)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.41	% (28725)Termination reason: Unknown
0.18/0.41	% (28725)Termination phase: shuffling
0.18/0.41	
0.18/0.41	% (28725)Memory used [KB]: 1023
0.18/0.41	% (28725)Time elapsed: 0.003 s
0.18/0.41	% (28725)Instructions burned: 3 (million)
0.18/0.41	% (28725)------------------------------
0.18/0.41	% (28725)------------------------------
0.19/0.41	% (28726)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_28565 for (2399ds/4Mi)
0.19/0.41	% (28727)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_28565 for (2399ds/18Mi)
0.19/0.41	% (28728)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_28565 for (2399ds/710Mi)
0.19/0.41	% (28726)Instruction limit reached!
0.19/0.41	% (28726)------------------------------
0.19/0.41	% (28726)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.41	% (28726)Termination reason: Unknown
0.19/0.41	% (28726)Termination phase: shuffling
0.19/0.41	
0.19/0.41	% (28726)Memory used [KB]: 1151
0.19/0.41	% (28726)Time elapsed: 0.004 s
0.19/0.41	% (28726)Instructions burned: 5 (million)
0.19/0.41	% (28726)------------------------------
0.19/0.41	% (28726)------------------------------
0.19/0.42	% (28728)Refutation not found, incomplete strategy
0.19/0.42	% (28728)------------------------------
0.19/0.42	% (28728)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.42	% (28728)Termination reason: Refutation not found, incomplete strategy
0.19/0.42	
0.19/0.42	
0.19/0.42	% (28728)Memory used [KB]: 5628
0.19/0.42	% (28728)Time elapsed: 0.008 s
0.19/0.42	% (28728)Instructions burned: 13 (million)
0.19/0.42	% (28728)------------------------------
0.19/0.42	% (28728)------------------------------
0.19/0.42	% (28727)Instruction limit reached!
0.19/0.42	% (28727)------------------------------
0.19/0.42	% (28727)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.42	% (28727)Termination reason: Unknown
0.19/0.42	% (28727)Termination phase: Saturation
0.19/0.42	
0.19/0.42	% (28727)Memory used [KB]: 5756
0.19/0.42	% (28727)Time elapsed: 0.011 s
0.19/0.42	% (28727)Instructions burned: 18 (million)
0.19/0.42	% (28727)------------------------------
0.19/0.42	% (28727)------------------------------
0.19/0.42	% (28729)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_28565 for (2399ds/6Mi)
0.19/0.42	% (28730)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_28565 for (2399ds/902Mi)
0.19/0.42	% (28729)Instruction limit reached!
0.19/0.42	% (28729)------------------------------
0.19/0.42	% (28729)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.42	% (28729)Termination reason: Unknown
0.19/0.42	% (28729)Termination phase: Property scanning
0.19/0.42	
0.19/0.42	% (28729)Memory used [KB]: 1151
0.19/0.42	% (28729)Time elapsed: 0.005 s
0.19/0.42	% (28729)Instructions burned: 8 (million)
0.19/0.42	% (28729)------------------------------
0.19/0.42	% (28729)------------------------------
0.19/0.43	% (28731)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_28565 for (2399ds/21Mi)
0.19/0.43	% (28730)Refutation not found, incomplete strategy
0.19/0.43	% (28730)------------------------------
0.19/0.43	% (28730)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.43	% (28730)Termination reason: Refutation not found, incomplete strategy
0.19/0.43	
0.19/0.43	
0.19/0.43	% (28730)Memory used [KB]: 5628
0.19/0.43	% (28730)Time elapsed: 0.007 s
0.19/0.43	% (28730)Instructions burned: 12 (million)
0.19/0.43	% (28730)------------------------------
0.19/0.43	% (28730)------------------------------
0.19/0.44	% (28732)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_28565 for (2399ds/5Mi)
0.19/0.44	% (28733)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_28565 for (2399ds/6Mi)
0.19/0.44	% (28732)Instruction limit reached!
0.19/0.44	% (28732)------------------------------
0.19/0.44	% (28732)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.44	% (28732)Termination reason: Unknown
0.19/0.44	% (28732)Termination phase: shuffling
0.19/0.44	
0.19/0.44	% (28732)Memory used [KB]: 1151
0.19/0.44	% (28732)Time elapsed: 0.004 s
0.19/0.44	% (28732)Instructions burned: 5 (million)
0.19/0.44	% (28732)------------------------------
0.19/0.44	% (28732)------------------------------
0.19/0.44	% (28731)Instruction limit reached!
0.19/0.44	% (28731)------------------------------
0.19/0.44	% (28731)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.44	% (28731)Termination reason: Unknown
0.19/0.44	% (28731)Termination phase: Saturation
0.19/0.44	
0.19/0.44	% (28731)Memory used [KB]: 5756
0.19/0.44	% (28731)Time elapsed: 0.012 s
0.19/0.44	% (28731)Instructions burned: 22 (million)
0.19/0.44	% (28731)------------------------------
0.19/0.44	% (28731)------------------------------
0.19/0.44	% (28733)Instruction limit reached!
0.19/0.44	% (28733)------------------------------
0.19/0.44	% (28733)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.44	% (28733)Termination reason: Unknown
0.19/0.44	% (28733)Termination phase: Property scanning
0.19/0.44	
0.19/0.44	% (28733)Memory used [KB]: 1151
0.19/0.44	% (28733)Time elapsed: 0.004 s
0.19/0.44	% (28733)Instructions burned: 6 (million)
0.19/0.44	% (28733)------------------------------
0.19/0.44	% (28733)------------------------------
0.19/0.44	% (28734)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_28565 for (2399ds/377Mi)
0.19/0.45	% (28708)Instruction limit reached!
0.19/0.45	% (28708)------------------------------
0.19/0.45	% (28708)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.45	% (28708)Termination reason: Unknown
0.19/0.45	% (28708)Termination phase: Saturation
0.19/0.45	
0.19/0.45	% (28735)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_28565 for (2399ds/779Mi)
0.19/0.45	% (28708)Memory used [KB]: 7164
0.19/0.45	% (28708)Time elapsed: 0.094 s
0.19/0.45	% (28708)Instructions burned: 183 (million)
0.19/0.45	% (28708)------------------------------
0.19/0.45	% (28708)------------------------------
0.19/0.45	% (28737)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_28565 for (2399ds/879Mi)
0.19/0.45	% (28736)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_28565 for (2399ds/19Mi)
0.19/0.45	% (28738)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_28565 for (2399ds/17Mi)
0.19/0.46	% (28736)Refutation not found, incomplete strategy
0.19/0.46	% (28736)------------------------------
0.19/0.46	% (28736)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.46	% (28736)Termination reason: Refutation not found, incomplete strategy
0.19/0.46	
0.19/0.46	
0.19/0.46	% (28736)Memory used [KB]: 5756
0.19/0.46	% (28736)Time elapsed: 0.008 s
0.19/0.46	% (28736)Instructions burned: 14 (million)
0.19/0.46	% (28736)------------------------------
0.19/0.46	% (28736)------------------------------
0.19/0.46	% (28738)Instruction limit reached!
0.19/0.46	% (28738)------------------------------
0.19/0.46	% (28738)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.46	% (28738)Termination reason: Unknown
0.19/0.46	% (28738)Termination phase: Saturation
0.19/0.46	
0.19/0.46	% (28738)Memory used [KB]: 5628
0.19/0.46	% (28738)Time elapsed: 0.010 s
0.19/0.46	% (28738)Instructions burned: 19 (million)
0.19/0.46	% (28738)------------------------------
0.19/0.46	% (28738)------------------------------
0.19/0.46	% (28740)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_28565 for (2399ds/3Mi)
0.19/0.46	% (28740)Instruction limit reached!
0.19/0.46	% (28740)------------------------------
0.19/0.46	% (28740)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.46	% (28740)Termination reason: Unknown
0.19/0.46	% (28740)Termination phase: shuffling
0.19/0.46	
0.19/0.46	% (28740)Memory used [KB]: 1023
0.19/0.46	% (28740)Time elapsed: 0.003 s
0.19/0.46	% (28740)Instructions burned: 3 (million)
0.19/0.46	% (28740)------------------------------
0.19/0.46	% (28740)------------------------------
0.19/0.48	% (28743)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on E---3.1_28565 for (2398ds/127Mi)
0.19/0.48	% (28742)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_28565 for (2398ds/30Mi)
0.19/0.48	% (28744)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on E---3.1_28565 for (2398ds/100Mi)
0.19/0.49	% (28742)Instruction limit reached!
0.19/0.49	% (28742)------------------------------
0.19/0.49	% (28742)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.49	% (28742)Termination reason: Unknown
0.19/0.49	% (28742)Termination phase: Saturation
0.19/0.49	
0.19/0.49	% (28742)Memory used [KB]: 5756
0.19/0.49	% (28742)Time elapsed: 0.016 s
0.19/0.49	% (28742)Instructions burned: 31 (million)
0.19/0.49	% (28742)------------------------------
0.19/0.49	% (28742)------------------------------
0.19/0.51	% (28745)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on E---3.1_28565 for (2398ds/3Mi)
0.19/0.51	% (28745)Instruction limit reached!
0.19/0.51	% (28745)------------------------------
0.19/0.51	% (28745)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.51	% (28745)Termination reason: Unknown
0.19/0.51	% (28745)Termination phase: shuffling
0.19/0.51	
0.19/0.51	% (28745)Memory used [KB]: 1151
0.19/0.51	% (28745)Time elapsed: 0.004 s
0.19/0.51	% (28745)Instructions burned: 4 (million)
0.19/0.51	% (28745)------------------------------
0.19/0.51	% (28745)------------------------------
0.19/0.53	% (28746)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on E---3.1_28565 for (2398ds/20Mi)
0.19/0.53	% (28744)Instruction limit reached!
0.19/0.53	% (28744)------------------------------
0.19/0.53	% (28744)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.53	% (28744)Termination reason: Unknown
0.19/0.53	% (28744)Termination phase: Saturation
0.19/0.53	
0.19/0.53	% (28744)Memory used [KB]: 6140
0.19/0.53	% (28744)Time elapsed: 0.051 s
0.19/0.53	% (28744)Instructions burned: 101 (million)
0.19/0.53	% (28744)------------------------------
0.19/0.53	% (28744)------------------------------
0.19/0.54	% (28746)Refutation not found, incomplete strategy
0.19/0.54	% (28746)------------------------------
0.19/0.54	% (28746)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.54	% (28746)Termination reason: Refutation not found, incomplete strategy
0.19/0.54	
0.19/0.54	
0.19/0.54	% (28746)Memory used [KB]: 5756
0.19/0.54	% (28746)Time elapsed: 0.010 s
0.19/0.54	% (28746)Instructions burned: 16 (million)
0.19/0.54	% (28746)------------------------------
0.19/0.54	% (28746)------------------------------
0.19/0.54	% (28743)Instruction limit reached!
0.19/0.54	% (28743)------------------------------
0.19/0.54	% (28743)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.54	% (28743)Termination reason: Unknown
0.19/0.54	% (28743)Termination phase: Saturation
0.19/0.54	
0.19/0.54	% (28743)Memory used [KB]: 6140
0.19/0.54	% (28743)Time elapsed: 0.064 s
0.19/0.54	% (28743)Instructions burned: 128 (million)
0.19/0.54	% (28743)------------------------------
0.19/0.54	% (28743)------------------------------
0.19/0.55	% (28747)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on E---3.1_28565 for (2398ds/86Mi)
0.19/0.55	% (28748)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on E---3.1_28565 for (2397ds/107Mi)
0.19/0.56	% (28749)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on E---3.1_28565 for (2397ds/39Mi)
0.19/0.58	% (28749)Instruction limit reached!
0.19/0.58	% (28749)------------------------------
0.19/0.58	% (28749)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.58	% (28749)Termination reason: Unknown
0.19/0.58	% (28749)Termination phase: Saturation
0.19/0.58	
0.19/0.58	% (28749)Memory used [KB]: 5884
0.19/0.58	% (28749)Time elapsed: 0.021 s
0.19/0.58	% (28749)Instructions burned: 39 (million)
0.19/0.58	% (28749)------------------------------
0.19/0.58	% (28749)------------------------------
1.83/0.59	% (28747)Instruction limit reached!
1.83/0.59	% (28747)------------------------------
1.83/0.59	% (28747)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
1.83/0.59	% (28747)Termination reason: Unknown
1.83/0.59	% (28747)Termination phase: Saturation
1.83/0.59	
1.83/0.59	% (28747)Memory used [KB]: 6268
1.83/0.59	% (28747)Time elapsed: 0.045 s
1.83/0.59	% (28747)Instructions burned: 87 (million)
1.83/0.59	% (28747)------------------------------
1.83/0.59	% (28747)------------------------------
1.83/0.59	% (28751)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on E---3.1_28565 for (2397ds/448Mi)
1.93/0.61	% (28753)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on E---3.1_28565 for (2397ds/46Mi)
1.93/0.61	% (28748)Instruction limit reached!
1.93/0.61	% (28748)------------------------------
1.93/0.61	% (28748)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
1.93/0.61	% (28748)Termination reason: Unknown
1.93/0.61	% (28748)Termination phase: Saturation
1.93/0.61	
1.93/0.61	% (28748)Memory used [KB]: 6140
1.93/0.61	% (28748)Time elapsed: 0.055 s
1.93/0.61	% (28748)Instructions burned: 108 (million)
1.93/0.61	% (28748)------------------------------
1.93/0.61	% (28748)------------------------------
1.93/0.63	% (28754)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on E---3.1_28565 for (2397ds/98Mi)
1.93/0.63	% (28734)Instruction limit reached!
1.93/0.63	% (28734)------------------------------
1.93/0.63	% (28734)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
1.93/0.63	% (28734)Termination reason: Unknown
1.93/0.63	% (28734)Termination phase: Saturation
1.93/0.63	
1.93/0.63	% (28734)Memory used [KB]: 6780
1.93/0.63	% (28734)Time elapsed: 0.187 s
1.93/0.63	% (28734)Instructions burned: 378 (million)
1.93/0.63	% (28734)------------------------------
1.93/0.63	% (28734)------------------------------
2.07/0.63	% (28753)Instruction limit reached!
2.07/0.63	% (28753)------------------------------
2.07/0.63	% (28753)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
2.07/0.63	% (28753)Termination reason: Unknown
2.07/0.63	% (28753)Termination phase: Saturation
2.07/0.63	
2.07/0.63	% (28753)Memory used [KB]: 5884
2.07/0.63	% (28753)Time elapsed: 0.026 s
2.07/0.63	% (28753)Instructions burned: 46 (million)
2.07/0.63	% (28753)------------------------------
2.07/0.63	% (28753)------------------------------
2.07/0.64	% (28755)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on E---3.1_28565 for (2397ds/507Mi)
2.07/0.65	% (28756)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on E---3.1_28565 for (2397ds/149Mi)
2.07/0.65	% (28755)Refutation not found, incomplete strategy
2.07/0.65	% (28755)------------------------------
2.07/0.65	% (28755)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
2.07/0.65	% (28755)Termination reason: Refutation not found, incomplete strategy
2.07/0.65	
2.07/0.65	
2.07/0.65	% (28755)Memory used [KB]: 5756
2.07/0.65	% (28755)Time elapsed: 0.010 s
2.07/0.65	% (28755)Instructions burned: 18 (million)
2.07/0.65	% (28755)------------------------------
2.07/0.65	% (28755)------------------------------
2.07/0.67	% (28757)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on E---3.1_28565 for (2396ds/39Mi)
2.07/0.67	% (28754)Instruction limit reached!
2.07/0.67	% (28754)------------------------------
2.07/0.67	% (28754)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
2.07/0.67	% (28754)Termination reason: Unknown
2.07/0.67	% (28754)Termination phase: Saturation
2.07/0.67	
2.07/0.67	% (28754)Memory used [KB]: 1535
2.07/0.67	% (28754)Time elapsed: 0.051 s
2.07/0.67	% (28754)Instructions burned: 99 (million)
2.07/0.67	% (28754)------------------------------
2.07/0.67	% (28754)------------------------------
2.07/0.69	% (28757)Instruction limit reached!
2.07/0.69	% (28757)------------------------------
2.07/0.69	% (28757)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
2.07/0.69	% (28757)Termination reason: Unknown
2.07/0.69	% (28757)Termination phase: Saturation
2.07/0.69	
2.07/0.69	% (28757)Memory used [KB]: 5884
2.07/0.69	% (28757)Time elapsed: 0.020 s
2.07/0.69	% (28757)Instructions burned: 39 (million)
2.07/0.69	% (28757)------------------------------
2.07/0.69	% (28757)------------------------------
2.07/0.69	% (28758)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on E---3.1_28565 for (2396ds/6Mi)
2.07/0.69	% (28758)Instruction limit reached!
2.07/0.69	% (28758)------------------------------
2.07/0.69	% (28758)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
2.07/0.69	% (28758)Termination reason: Unknown
2.07/0.69	% (28758)Termination phase: Property scanning
2.07/0.69	
2.07/0.69	% (28758)Memory used [KB]: 1151
2.07/0.69	% (28758)Time elapsed: 0.004 s
2.07/0.69	% (28758)Instructions burned: 6 (million)
2.07/0.69	% (28758)------------------------------
2.07/0.69	% (28758)------------------------------
2.07/0.70	% (28759)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on E---3.1_28565 for (2396ds/1087Mi)
2.07/0.71	% (28760)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on E---3.1_28565 for (2396ds/47Mi)
2.07/0.71	% (28759)Refutation not found, incomplete strategy
2.07/0.71	% (28759)------------------------------
2.07/0.71	% (28759)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
2.07/0.71	% (28759)Termination reason: Refutation not found, incomplete strategy
2.07/0.71	
2.07/0.71	
2.07/0.71	% (28759)Memory used [KB]: 5756
2.07/0.71	% (28759)Time elapsed: 0.010 s
2.07/0.71	% (28759)Instructions burned: 13 (million)
2.07/0.71	% (28759)------------------------------
2.07/0.71	% (28759)------------------------------
2.07/0.72	% (28756)Instruction limit reached!
2.07/0.72	% (28756)------------------------------
2.07/0.72	% (28756)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
2.07/0.72	% (28756)Termination reason: Unknown
2.07/0.72	% (28756)Termination phase: Saturation
2.07/0.72	
2.07/0.72	% (28756)Memory used [KB]: 6268
2.07/0.72	% (28756)Time elapsed: 0.077 s
2.07/0.72	% (28756)Instructions burned: 149 (million)
2.07/0.72	% (28756)------------------------------
2.07/0.72	% (28756)------------------------------
2.68/0.73	% (28762)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on E---3.1_28565 for (2396ds/44Mi)
2.68/0.73	% (28760)Instruction limit reached!
2.68/0.73	% (28760)------------------------------
2.68/0.73	% (28760)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
2.68/0.73	% (28760)Termination reason: Unknown
2.68/0.73	% (28760)Termination phase: Saturation
2.68/0.73	
2.68/0.73	% (28760)Memory used [KB]: 5884
2.68/0.73	% (28760)Time elapsed: 0.024 s
2.68/0.73	% (28760)Instructions burned: 47 (million)
2.68/0.73	% (28760)------------------------------
2.68/0.73	% (28760)------------------------------
2.68/0.74	% (28764)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on E---3.1_28565 for (2396ds/432Mi)
2.68/0.75	% (28765)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on E---3.1_28565 for (2396ds/62Mi)
2.68/0.75	% (28762)Instruction limit reached!
2.68/0.75	% (28762)------------------------------
2.68/0.75	% (28762)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
2.68/0.75	% (28762)Termination reason: Unknown
2.68/0.75	% (28762)Termination phase: Saturation
2.68/0.75	
2.68/0.75	% (28762)Memory used [KB]: 1279
2.68/0.75	% (28762)Time elapsed: 0.022 s
2.68/0.75	% (28762)Instructions burned: 44 (million)
2.68/0.75	% (28762)------------------------------
2.68/0.75	% (28762)------------------------------
2.68/0.77	% (28766)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on E---3.1_28565 for (2395ds/31Mi)
2.68/0.78	% (28765)Instruction limit reached!
2.68/0.78	% (28765)------------------------------
2.68/0.78	% (28765)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
2.68/0.78	% (28765)Termination reason: Unknown
2.68/0.78	% (28765)Termination phase: Saturation
2.68/0.78	
2.68/0.78	% (28765)Memory used [KB]: 6012
2.68/0.78	% (28765)Time elapsed: 0.032 s
2.68/0.78	% (28765)Instructions burned: 63 (million)
2.68/0.78	% (28765)------------------------------
2.68/0.78	% (28765)------------------------------
2.68/0.78	% (28766)Instruction limit reached!
2.68/0.78	% (28766)------------------------------
2.68/0.78	% (28766)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
2.68/0.78	% (28766)Termination reason: Unknown
2.68/0.78	% (28766)Termination phase: Saturation
2.68/0.78	
2.68/0.78	% (28766)Memory used [KB]: 5756
2.68/0.78	% (28766)Time elapsed: 0.016 s
2.68/0.78	% (28766)Instructions burned: 31 (million)
2.68/0.78	% (28766)------------------------------
2.68/0.78	% (28766)------------------------------
3.03/0.80	% (28767)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on E---3.1_28565 for (2395ds/96Mi)
3.03/0.80	% (28768)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on E---3.1_28565 for (2395ds/453Mi)
3.03/0.81	% (28751)Instruction limit reached!
3.03/0.81	% (28751)------------------------------
3.03/0.81	% (28751)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
3.03/0.81	% (28751)Termination reason: Unknown
3.03/0.81	% (28751)Termination phase: Saturation
3.03/0.81	
3.03/0.81	% (28751)Memory used [KB]: 7164
3.03/0.81	% (28751)Time elapsed: 0.220 s
3.03/0.81	% (28751)Instructions burned: 449 (million)
3.03/0.81	% (28751)------------------------------
3.03/0.81	% (28751)------------------------------
3.03/0.83	% (28735)Instruction limit reached!
3.03/0.83	% (28735)------------------------------
3.03/0.83	% (28735)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
3.03/0.83	% (28735)Termination reason: Unknown
3.03/0.83	% (28735)Termination phase: Saturation
3.03/0.83	
3.03/0.83	% (28735)Memory used [KB]: 7547
3.03/0.83	% (28735)Time elapsed: 0.385 s
3.03/0.83	% (28735)Instructions burned: 779 (million)
3.03/0.83	% (28735)------------------------------
3.03/0.83	% (28735)------------------------------
3.03/0.83	% (28769)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on E---3.1_28565 for (2395ds/71Mi)
3.03/0.85	% (28771)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on E---3.1_28565 for (2395ds/83Mi)
3.03/0.85	% (28767)Instruction limit reached!
3.03/0.85	% (28767)------------------------------
3.03/0.85	% (28767)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
3.03/0.85	% (28767)Termination reason: Unknown
3.03/0.85	% (28767)Termination phase: Saturation
3.03/0.85	
3.03/0.85	% (28767)Memory used [KB]: 6268
3.03/0.85	% (28767)Time elapsed: 0.052 s
3.03/0.85	% (28767)Instructions burned: 96 (million)
3.03/0.85	% (28767)------------------------------
3.03/0.85	% (28767)------------------------------
3.51/0.86	% (28769)Instruction limit reached!
3.51/0.86	% (28769)------------------------------
3.51/0.86	% (28769)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
3.51/0.86	% (28769)Termination reason: Unknown
3.51/0.86	% (28769)Termination phase: Saturation
3.51/0.86	
3.51/0.86	% (28769)Memory used [KB]: 5884
3.51/0.86	% (28769)Time elapsed: 0.037 s
3.51/0.86	% (28769)Instructions burned: 72 (million)
3.51/0.86	% (28769)------------------------------
3.51/0.86	% (28769)------------------------------
3.51/0.87	% (28773)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on E---3.1_28565 for (2395ds/11Mi)
3.57/0.87	% (28773)Instruction limit reached!
3.57/0.87	% (28773)------------------------------
3.57/0.87	% (28773)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
3.57/0.87	% (28773)Termination reason: Unknown
3.57/0.87	% (28773)Termination phase: Property scanning
3.57/0.87	
3.57/0.87	% (28773)Memory used [KB]: 1151
3.57/0.87	% (28773)Time elapsed: 0.007 s
3.57/0.87	% (28773)Instructions burned: 11 (million)
3.57/0.87	% (28773)------------------------------
3.57/0.87	% (28773)------------------------------
3.57/0.87	% (28771)Refutation not found, incomplete strategy
3.57/0.87	% (28771)------------------------------
3.57/0.87	% (28771)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
3.57/0.87	% (28771)Termination reason: Refutation not found, incomplete strategy
3.57/0.87	
3.57/0.87	
3.57/0.87	% (28771)Memory used [KB]: 5884
3.57/0.87	% (28771)Time elapsed: 0.026 s
3.57/0.87	% (28771)Instructions burned: 47 (million)
3.57/0.87	% (28771)------------------------------
3.57/0.87	% (28771)------------------------------
3.57/0.88	% (28737)Instruction limit reached!
3.57/0.88	% (28737)------------------------------
3.57/0.88	% (28737)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
3.57/0.88	% (28737)Termination reason: Unknown
3.57/0.88	% (28737)Termination phase: Saturation
3.57/0.88	
3.57/0.88	% (28737)Memory used [KB]: 7675
3.57/0.88	% (28737)Time elapsed: 0.424 s
3.57/0.88	% (28737)Instructions burned: 880 (million)
3.57/0.88	% (28737)------------------------------
3.57/0.88	% (28737)------------------------------
3.57/0.88	% (28774)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on E---3.1_28565 for (2394ds/41Mi)
3.57/0.89	% (28775)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_28565 for (2394ds/6Mi)
3.57/0.89	% (28776)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on E---3.1_28565 for (2394ds/150Mi)
3.57/0.89	% (28775)Instruction limit reached!
3.57/0.89	% (28775)------------------------------
3.57/0.89	% (28775)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
3.57/0.89	% (28775)Termination reason: Unknown
3.57/0.89	% (28775)Termination phase: Property scanning
3.57/0.89	
3.57/0.89	% (28775)Memory used [KB]: 1151
3.57/0.89	% (28775)Time elapsed: 0.005 s
3.57/0.89	% (28775)Instructions burned: 7 (million)
3.57/0.89	% (28775)------------------------------
3.57/0.89	% (28775)------------------------------
3.57/0.89	% (28768)First to succeed.
3.57/0.89	% (28777)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on E---3.1_28565 for (2394ds/343Mi)
3.71/0.90	% (28774)Instruction limit reached!
3.71/0.90	% (28774)------------------------------
3.71/0.90	% (28774)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
3.71/0.90	% (28774)Termination reason: Unknown
3.71/0.90	% (28774)Termination phase: Saturation
3.71/0.90	
3.71/0.90	% (28774)Memory used [KB]: 5884
3.71/0.90	% (28774)Time elapsed: 0.022 s
3.71/0.90	% (28774)Instructions burned: 41 (million)
3.71/0.90	% (28774)------------------------------
3.71/0.90	% (28774)------------------------------
3.71/0.90	% (28768)Refutation found. Thanks to Tanya!
3.71/0.90	% SZS status Theorem for E---3.1_28565
3.71/0.90	% SZS output start Proof for E---3.1_28565
3.71/0.90	thf(type_def_5, type, mu: $tType).
3.71/0.90	thf(type_def_7, type, reg: $tType).
3.71/0.90	thf(func_def_0, type, mu: $tType).
3.71/0.90	thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
3.71/0.90	thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
3.71/0.90	thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
3.71/0.90	thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
3.71/0.90	thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
3.71/0.90	thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
3.71/0.90	thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
3.71/0.90	thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
3.71/0.90	thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
3.71/0.90	thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
3.71/0.90	thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
3.71/0.90	thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
3.71/0.90	thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
3.71/0.90	thf(func_def_15, type, mtrue: $i > $o).
3.71/0.90	thf(func_def_16, type, mfalse: $i > $o).
3.71/0.90	thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
3.71/0.90	thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
3.71/0.90	thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
3.71/0.90	thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
3.71/0.90	thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
3.71/0.90	thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
3.71/0.90	thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
3.71/0.90	thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
3.71/0.90	thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
3.71/0.90	thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
3.71/0.90	thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
3.71/0.90	thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
3.71/0.90	thf(func_def_29, type, mvalid: ($i > $o) > $o).
3.71/0.90	thf(func_def_30, type, minvalid: ($i > $o) > $o).
3.71/0.90	thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
3.71/0.90	thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
3.71/0.90	thf(func_def_33, type, reg: $tType).
3.71/0.90	thf(func_def_34, type, c: reg > reg > $o).
3.71/0.90	thf(func_def_35, type, dc: reg > reg > $o).
3.71/0.90	thf(func_def_36, type, p: reg > reg > $o).
3.71/0.90	thf(func_def_37, type, eq: reg > reg > $o).
3.71/0.90	thf(func_def_38, type, o: reg > reg > $o).
3.71/0.90	thf(func_def_39, type, po: reg > reg > $o).
3.71/0.90	thf(func_def_40, type, ec: reg > reg > $o).
3.71/0.90	thf(func_def_41, type, pp: reg > reg > $o).
3.71/0.90	thf(func_def_42, type, tpp: reg > reg > $o).
3.71/0.90	thf(func_def_43, type, ntpp: reg > reg > $o).
3.71/0.90	thf(func_def_44, type, catalunya: reg).
3.71/0.90	thf(func_def_45, type, france: reg).
3.71/0.90	thf(func_def_46, type, spain: reg).
3.71/0.90	thf(func_def_47, type, paris: reg).
3.71/0.90	thf(func_def_48, type, a: $i > $i > $o).
3.71/0.90	thf(func_def_49, type, fool: $i > $i > $o).
3.71/0.90	thf(func_def_66, type, ph1: !>[X0: $tType]:(X0)).
3.71/0.90	thf(func_def_70, type, sK5: $i > ($i > $o) > $i).
3.71/0.90	thf(func_def_71, type, sK6: reg > reg).
3.71/0.90	thf(func_def_72, type, sK7: reg).
3.71/0.90	thf(func_def_73, type, sK8: reg).
3.71/0.90	thf(func_def_74, type, sK9: reg).
3.71/0.90	thf(func_def_75, type, sK10: reg > reg).
3.71/0.90	thf(func_def_76, type, sK11: reg).
3.71/0.90	thf(func_def_77, type, sK12: reg > reg).
3.71/0.90	thf(func_def_78, type, sK13: reg > reg).
3.71/0.90	thf(func_def_79, type, sK14: reg > reg).
3.71/0.90	thf(f1229,plain,(
3.71/0.90	  $false),
3.71/0.90	  inference(avatar_sat_refutation,[status(thm)],[f233,f330,f365,f385,f452,f458,f584,f686,f925,f1037,f1070,f1118,f1214,f1218,f1228])).
3.71/0.90	thf(f1228,plain,(
3.71/0.90	  ~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_15 | spl0_20 | spl0_21),
3.71/0.90	  inference(avatar_contradiction_clause,[status(thm)],[f1227])).
3.71/0.90	thf(f1227,plain,(
3.71/0.90	  $false | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_15 | spl0_20 | spl0_21)),
3.71/0.90	  inference(subsumption_resolution,[status(thm)],[f1226,f1027])).
3.71/0.90	thf(f1027,plain,(
3.71/0.90	  ((c @ (sK10 @ (sK12 @ spain)) @ paris) != $true) | spl0_20),
3.71/0.90	  inference(avatar_component_clause,[status(thm)],[f1026])).
3.71/0.90	thf(f1026,definition,(
3.71/0.90	  spl0_20 <=> ((c @ (sK10 @ (sK12 @ spain)) @ paris) = $true)),
3.71/0.90	  introduced(definition,[new_symbols(naming,[spl0_20])],[avatar_definition])).
3.71/0.90	thf(f1226,plain,(
3.71/0.90	  ((c @ (sK10 @ (sK12 @ spain)) @ paris) = $true) | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_15 | spl0_21)),
3.71/0.90	  inference(subsumption_resolution,[status(thm)],[f1138,f1035])).
3.71/0.90	thf(f1035,plain,(
3.71/0.90	  ((c @ (sK6 @ (sK12 @ spain)) @ (sK12 @ spain)) != $true) | spl0_21),
3.71/0.90	  inference(avatar_component_clause,[status(thm)],[f1034])).
3.71/0.90	thf(f1034,definition,(
3.71/0.90	  spl0_21 <=> ((c @ (sK6 @ (sK12 @ spain)) @ (sK12 @ spain)) = $true)),
3.71/0.90	  introduced(definition,[new_symbols(naming,[spl0_21])],[avatar_definition])).
3.71/0.90	thf(f1138,plain,(
3.71/0.90	  ((c @ (sK6 @ (sK12 @ spain)) @ (sK12 @ spain)) = $true) | ((c @ (sK10 @ (sK12 @ spain)) @ paris) = $true) | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_15)),
3.71/0.90	  inference(trivial_inequality_removal,[status(thm)],[f1128])).
3.71/0.90	thf(f1128,plain,(
3.71/0.90	  ((c @ (sK10 @ (sK12 @ spain)) @ paris) = $true) | ($false = $true) | ((c @ (sK6 @ (sK12 @ spain)) @ (sK12 @ spain)) = $true) | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_15)),
3.71/0.90	  inference(superposition,[status(thm)],[f1121,f739])).
3.71/0.90	thf(f739,plain,(
3.71/0.90	  ( ! [X1 : reg] : (((c @ (sK10 @ X1) @ X1) = $true) | ((c @ (sK6 @ X1) @ X1) = $true)) ) | ~spl0_8),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f735])).
3.71/0.90	thf(f735,plain,(
3.71/0.90	  ( ! [X1 : reg] : ((((c @ (sK10 @ X1) @ X1) => (c @ (sK10 @ X1) @ france)) = $false) | ((c @ (sK6 @ X1) @ X1) = $true)) ) | ~spl0_8),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f732])).
3.71/0.90	thf(f732,plain,(
3.71/0.90	  ( ! [X1 : reg] : (($false = ((^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ france))) @ (sK10 @ X1))) | ((c @ (sK6 @ X1) @ X1) = $true)) ) | ~spl0_8),
3.71/0.90	  inference(sigma_clausification,[status(thm)],[f434])).
3.71/0.90	thf(f434,plain,(
3.71/0.90	  ( ! [X1 : reg] : (($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ france))))) | ((c @ (sK6 @ X1) @ X1) = $true)) ) | ~spl0_8),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f432])).
3.71/0.90	thf(f432,plain,(
3.71/0.90	  ( ! [X1 : reg] : (($false = ((c @ (sK6 @ X1) @ X1) => (c @ (sK6 @ X1) @ spain))) | ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ france)))))) ) | ~spl0_8),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f431])).
3.71/0.90	thf(f431,plain,(
3.71/0.90	  ( ! [X1 : reg] : (($false = ((^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ spain))) @ (sK6 @ X1))) | ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ france)))))) ) | ~spl0_8),
3.71/0.90	  inference(sigma_clausification,[status(thm)],[f430])).
3.71/0.90	thf(f430,plain,(
3.71/0.90	  ( ! [X1 : reg] : (($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ spain))))) | ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ france)))))) ) | ~spl0_8),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f429])).
3.71/0.90	thf(f429,plain,(
3.71/0.90	  ( ! [X1 : reg] : (($false = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ france)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ spain))))))) ) | ~spl0_8),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f428])).
3.71/0.90	thf(f428,plain,(
3.71/0.90	  ( ! [X1 : reg] : (($false = ((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))) @ X1))) ) | ~spl0_8),
3.71/0.90	  inference(pi_clausification,[status(thm)],[f364])).
3.71/0.90	thf(f364,plain,(
3.71/0.90	  ($false = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))))) | ~spl0_8),
3.71/0.90	  inference(avatar_component_clause,[status(thm)],[f362])).
3.71/0.90	thf(f362,definition,(
3.71/0.90	  spl0_8 <=> ($false = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))))))),
3.71/0.90	  introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition])).
3.71/0.90	thf(f1121,plain,(
3.71/0.90	  ( ! [X1 : reg] : (($false = (c @ X1 @ (sK12 @ spain))) | ((c @ X1 @ paris) = $true)) ) | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_15)),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f1120])).
3.71/0.90	thf(f1120,plain,(
3.71/0.90	  ( ! [X1 : reg] : ((((c @ X1 @ (sK12 @ spain)) => (c @ X1 @ paris)) = $true)) ) | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_15)),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f1119])).
3.71/0.90	thf(f1119,plain,(
3.71/0.90	  ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ (sK12 @ spain)) => (c @ Y0 @ paris))) @ X1) = $true)) ) | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_15)),
3.71/0.90	  inference(pi_clausification,[status(thm)],[f1094])).
3.71/0.90	thf(f1094,plain,(
3.71/0.90	  ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ (sK12 @ spain)) => (c @ Y0 @ paris)))) = $true) | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_15)),
3.71/0.90	  inference(trivial_inequality_removal,[status(thm)],[f1093])).
3.71/0.90	thf(f1093,plain,(
3.71/0.90	  ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ (sK12 @ spain)) => (c @ Y0 @ paris)))) = $true) | ($false = $true) | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_15)),
3.71/0.90	  inference(forward_demodulation,[status(thm)],[f849,f232])).
3.71/0.90	thf(f232,plain,(
3.71/0.90	  ((c @ spain @ paris) = $true) | ~spl0_2),
3.71/0.90	  inference(avatar_component_clause,[status(thm)],[f230])).
3.71/0.90	thf(f230,definition,(
3.71/0.90	  spl0_2 <=> ((c @ spain @ paris) = $true)),
3.71/0.90	  introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
3.71/0.90	thf(f849,plain,(
3.71/0.90	  ($false = (c @ spain @ paris)) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ (sK12 @ spain)) => (c @ Y0 @ paris)))) = $true) | (~spl0_6 | ~spl0_8 | ~spl0_15)),
3.71/0.90	  inference(trivial_inequality_removal,[status(thm)],[f848])).
3.71/0.90	thf(f848,plain,(
3.71/0.90	  ($false = $true) | ($false = (c @ spain @ paris)) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ (sK12 @ spain)) => (c @ Y0 @ paris)))) = $true) | (~spl0_6 | ~spl0_8 | ~spl0_15)),
3.71/0.90	  inference(forward_demodulation,[status(thm)],[f847,f326])).
3.71/0.90	thf(f326,plain,(
3.71/0.90	  ((c @ spain @ france) = $true) | ~spl0_6),
3.71/0.90	  inference(avatar_component_clause,[status(thm)],[f324])).
3.71/0.90	thf(f324,definition,(
3.71/0.90	  spl0_6 <=> ((c @ spain @ france) = $true)),
3.71/0.90	  introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition])).
3.71/0.90	thf(f847,plain,(
3.71/0.90	  ($false = (c @ spain @ france)) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ (sK12 @ spain)) => (c @ Y0 @ paris)))) = $true) | ($false = (c @ spain @ paris)) | (~spl0_8 | ~spl0_15)),
3.71/0.90	  inference(trivial_inequality_removal,[status(thm)],[f843])).
3.71/0.90	thf(f843,plain,(
3.71/0.90	  ($false = $true) | ($false = (c @ spain @ paris)) | ($false = (c @ spain @ france)) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ (sK12 @ spain)) => (c @ Y0 @ paris)))) = $true) | (~spl0_8 | ~spl0_15)),
3.71/0.90	  inference(superposition,[status(thm)],[f743,f364])).
3.71/0.90	thf(f743,plain,(
3.71/0.90	  ( ! [X1 : reg] : (((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1))))))) = $true) | ($false = (c @ X1 @ paris)) | ($false = (c @ X1 @ france)) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ (sK12 @ X1)) => (c @ Y0 @ paris)))) = $true)) ) | ~spl0_15),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f741])).
3.71/0.90	thf(f741,plain,(
3.71/0.90	  ( ! [X1 : reg] : ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ (sK12 @ X1)) => (c @ Y0 @ paris)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ (sK12 @ X1)) => (c @ Y0 @ X1))))) = $true) | ($false = (c @ X1 @ paris)) | ($false = (c @ X1 @ france)) | ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1))))))) = $true)) ) | ~spl0_15),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f740])).
3.71/0.90	thf(f740,plain,(
3.71/0.90	  ( ! [X1 : reg] : (((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1))))))) = $true) | (((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1)))))) @ (sK12 @ X1)) = $true) | ($false = (c @ X1 @ paris)) | ($false = (c @ X1 @ france))) ) | ~spl0_15),
3.71/0.90	  inference(sigma_clausification,[status(thm)],[f714])).
3.71/0.90	thf(f714,plain,(
3.71/0.90	  ( ! [X1 : reg] : (((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1))))))) = $true) | ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1))))))) = $true) | ($false = (c @ X1 @ paris)) | ($false = (c @ X1 @ france))) ) | ~spl0_15),
3.71/0.90	  inference(not_proxy_clausification,[status(thm)],[f713])).
3.71/0.90	thf(f713,plain,(
3.71/0.90	  ( ! [X1 : reg] : (((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1))))))) = $true) | ($false = (c @ X1 @ france)) | ($false = (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1))))))))) | ($false = (c @ X1 @ paris))) ) | ~spl0_15),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f712])).
3.71/0.90	thf(f712,plain,(
3.71/0.90	  ( ! [X1 : reg] : (($false = (c @ X1 @ france)) | ($false = ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1)))))))) & (c @ X1 @ paris))) | ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1))))))) = $true)) ) | ~spl0_15),
3.71/0.90	  inference(not_proxy_clausification,[status(thm)],[f711])).
3.71/0.90	thf(f711,plain,(
3.71/0.90	  ( ! [X1 : reg] : (($false = (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1))))))))) | ($false = ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1)))))))) & (c @ X1 @ paris))) | ($false = (c @ X1 @ france))) ) | ~spl0_15),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f710])).
3.71/0.90	thf(f710,plain,(
3.71/0.90	  ( ! [X1 : reg] : (($false = ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1)))))))) & (c @ X1 @ france))) | ($false = ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1)))))))) & (c @ X1 @ paris)))) ) | ~spl0_15),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f709])).
3.71/0.90	thf(f709,plain,(
3.71/0.90	  ( ! [X1 : reg] : (($false = (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1)))))))) & (c @ X1 @ france)) & ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1)))))))) & (c @ X1 @ paris))))) ) | ~spl0_15),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f708])).
3.71/0.90	thf(f708,plain,(
3.71/0.90	  ( ! [X1 : reg] : (($false = ((^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)))) @ X1))) ) | ~spl0_15),
3.71/0.90	  inference(pi_clausification,[status(thm)],[f685])).
3.71/0.90	thf(f685,plain,(
3.71/0.90	  ($false = (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)))))) | ~spl0_15),
3.71/0.90	  inference(avatar_component_clause,[status(thm)],[f683])).
3.71/0.90	thf(f683,definition,(
3.71/0.90	  spl0_15 <=> ($false = (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris))))))),
3.71/0.90	  introduced(definition,[new_symbols(naming,[spl0_15])],[avatar_definition])).
3.71/0.90	thf(f1218,plain,(
3.71/0.90	  ~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_15 | spl0_20 | ~spl0_21),
3.71/0.90	  inference(avatar_contradiction_clause,[status(thm)],[f1217])).
3.71/0.90	thf(f1217,plain,(
3.71/0.90	  $false | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_15 | spl0_20 | ~spl0_21)),
3.71/0.90	  inference(subsumption_resolution,[status(thm)],[f1027,f1216])).
3.71/0.90	thf(f1216,plain,(
3.71/0.90	  ((c @ (sK10 @ (sK12 @ spain)) @ paris) = $true) | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_15 | ~spl0_21)),
3.71/0.90	  inference(trivial_inequality_removal,[status(thm)],[f1215])).
3.71/0.90	thf(f1215,plain,(
3.71/0.90	  ($false = $true) | ((c @ (sK10 @ (sK12 @ spain)) @ paris) = $true) | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_15 | ~spl0_21)),
3.71/0.90	  inference(backward_demodulation,[status(thm)],[f1139,f1197])).
3.71/0.90	thf(f1197,plain,(
3.71/0.90	  ((c @ (sK6 @ (sK12 @ spain)) @ spain) = $true) | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_15 | ~spl0_21)),
3.71/0.90	  inference(trivial_inequality_removal,[status(thm)],[f1185])).
3.71/0.90	thf(f1185,plain,(
3.71/0.90	  ($false = $true) | ((c @ (sK6 @ (sK12 @ spain)) @ spain) = $true) | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_15 | ~spl0_21)),
3.71/0.90	  inference(superposition,[status(thm)],[f1156,f1036])).
3.71/0.90	thf(f1036,plain,(
3.71/0.90	  ((c @ (sK6 @ (sK12 @ spain)) @ (sK12 @ spain)) = $true) | ~spl0_21),
3.71/0.90	  inference(avatar_component_clause,[status(thm)],[f1034])).
3.71/0.90	thf(f1156,plain,(
3.71/0.90	  ( ! [X1 : reg] : (($false = (c @ X1 @ (sK12 @ spain))) | ((c @ X1 @ spain) = $true)) ) | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_15)),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f1153])).
3.71/0.90	thf(f1153,plain,(
3.71/0.90	  ( ! [X1 : reg] : ((((c @ X1 @ (sK12 @ spain)) => (c @ X1 @ spain)) = $true)) ) | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_15)),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f1150])).
3.71/0.90	thf(f1150,plain,(
3.71/0.90	  ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ (sK12 @ spain)) => (c @ Y0 @ spain))) @ X1) = $true)) ) | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_15)),
3.71/0.90	  inference(pi_clausification,[status(thm)],[f1096])).
3.71/0.90	thf(f1096,plain,(
3.71/0.90	  ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ (sK12 @ spain)) => (c @ Y0 @ spain)))) = $true) | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_15)),
3.71/0.90	  inference(trivial_inequality_removal,[status(thm)],[f1095])).
3.71/0.90	thf(f1095,plain,(
3.71/0.90	  ($false = $true) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ (sK12 @ spain)) => (c @ Y0 @ spain)))) = $true) | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_15)),
3.71/0.90	  inference(forward_demodulation,[status(thm)],[f868,f232])).
3.71/0.90	thf(f868,plain,(
3.71/0.90	  ($false = (c @ spain @ paris)) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ (sK12 @ spain)) => (c @ Y0 @ spain)))) = $true) | (~spl0_6 | ~spl0_8 | ~spl0_15)),
3.71/0.90	  inference(trivial_inequality_removal,[status(thm)],[f867])).
3.71/0.90	thf(f867,plain,(
3.71/0.90	  ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ (sK12 @ spain)) => (c @ Y0 @ spain)))) = $true) | ($false = $true) | ($false = (c @ spain @ paris)) | (~spl0_6 | ~spl0_8 | ~spl0_15)),
3.71/0.90	  inference(forward_demodulation,[status(thm)],[f803,f326])).
3.71/0.90	thf(f803,plain,(
3.71/0.90	  ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ (sK12 @ spain)) => (c @ Y0 @ spain)))) = $true) | ($false = (c @ spain @ paris)) | ($false = (c @ spain @ france)) | (~spl0_8 | ~spl0_15)),
3.71/0.90	  inference(trivial_inequality_removal,[status(thm)],[f801])).
3.71/0.90	thf(f801,plain,(
3.71/0.90	  ($false = $true) | ($false = (c @ spain @ france)) | ($false = (c @ spain @ paris)) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ (sK12 @ spain)) => (c @ Y0 @ spain)))) = $true) | (~spl0_8 | ~spl0_15)),
3.71/0.90	  inference(superposition,[status(thm)],[f364,f742])).
3.71/0.90	thf(f742,plain,(
3.71/0.90	  ( ! [X1 : reg] : (((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1))))))) = $true) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ (sK12 @ X1)) => (c @ Y0 @ X1)))) = $true) | ($false = (c @ X1 @ france)) | ($false = (c @ X1 @ paris))) ) | ~spl0_15),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f741])).
3.71/0.90	thf(f1139,plain,(
3.71/0.90	  ((c @ (sK10 @ (sK12 @ spain)) @ paris) = $true) | ($false = (c @ (sK6 @ (sK12 @ spain)) @ spain)) | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_15)),
3.71/0.90	  inference(trivial_inequality_removal,[status(thm)],[f1133])).
3.71/0.90	thf(f1133,plain,(
3.71/0.90	  ($false = (c @ (sK6 @ (sK12 @ spain)) @ spain)) | ($false = $true) | ((c @ (sK10 @ (sK12 @ spain)) @ paris) = $true) | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_15)),
3.71/0.90	  inference(superposition,[status(thm)],[f651,f1121])).
3.71/0.90	thf(f651,plain,(
3.71/0.90	  ( ! [X1 : reg] : (((c @ (sK10 @ X1) @ X1) = $true) | ((c @ (sK6 @ X1) @ spain) = $false)) ) | ~spl0_8),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f649])).
3.71/0.90	thf(f649,plain,(
3.71/0.90	  ( ! [X1 : reg] : (((c @ (sK6 @ X1) @ spain) = $false) | (((c @ (sK10 @ X1) @ X1) => (c @ (sK10 @ X1) @ france)) = $false)) ) | ~spl0_8),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f644])).
3.71/0.90	thf(f644,plain,(
3.71/0.90	  ( ! [X1 : reg] : (($false = ((^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ france))) @ (sK10 @ X1))) | ((c @ (sK6 @ X1) @ spain) = $false)) ) | ~spl0_8),
3.71/0.90	  inference(sigma_clausification,[status(thm)],[f433])).
3.71/0.90	thf(f433,plain,(
3.71/0.90	  ( ! [X1 : reg] : (($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ france))))) | ((c @ (sK6 @ X1) @ spain) = $false)) ) | ~spl0_8),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f432])).
3.71/0.90	thf(f1214,plain,(
3.71/0.90	  ~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_15 | ~spl0_19 | ~spl0_21),
3.71/0.90	  inference(avatar_contradiction_clause,[status(thm)],[f1213])).
3.71/0.90	thf(f1213,plain,(
3.71/0.90	  $false | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_15 | ~spl0_19 | ~spl0_21)),
3.71/0.90	  inference(trivial_inequality_removal,[status(thm)],[f1212])).
3.71/0.90	thf(f1212,plain,(
3.71/0.90	  ($false = $true) | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_15 | ~spl0_19 | ~spl0_21)),
3.71/0.90	  inference(forward_demodulation,[status(thm)],[f1197,f861])).
3.71/0.90	thf(f861,plain,(
3.71/0.90	  ($false = (c @ (sK6 @ (sK12 @ spain)) @ spain)) | ~spl0_19),
3.71/0.90	  inference(avatar_component_clause,[status(thm)],[f859])).
3.71/0.90	thf(f859,definition,(
3.71/0.90	  spl0_19 <=> ($false = (c @ (sK6 @ (sK12 @ spain)) @ spain))),
3.71/0.90	  introduced(definition,[new_symbols(naming,[spl0_19])],[avatar_definition])).
3.71/0.90	thf(f1118,plain,(
3.71/0.90	  spl0_19 | ~spl0_8 | ~spl0_13 | ~spl0_20),
3.71/0.90	  inference(avatar_split_clause,[status(thm)],[f1056,f1026,f581,f362,f859])).
3.71/0.90	thf(f581,definition,(
3.71/0.90	  spl0_13 <=> ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) = $true)),
3.71/0.90	  introduced(definition,[new_symbols(naming,[spl0_13])],[avatar_definition])).
3.71/0.90	thf(f1056,plain,(
3.71/0.90	  ($false = (c @ (sK6 @ (sK12 @ spain)) @ spain)) | (~spl0_8 | ~spl0_13 | ~spl0_20)),
3.71/0.90	  inference(trivial_inequality_removal,[status(thm)],[f1047])).
3.71/0.90	thf(f1047,plain,(
3.71/0.90	  ($false = $true) | ($false = (c @ (sK6 @ (sK12 @ spain)) @ spain)) | (~spl0_8 | ~spl0_13 | ~spl0_20)),
3.71/0.90	  inference(superposition,[status(thm)],[f1044,f650])).
3.71/0.90	thf(f650,plain,(
3.71/0.90	  ( ! [X1 : reg] : (($false = (c @ (sK10 @ X1) @ france)) | ((c @ (sK6 @ X1) @ spain) = $false)) ) | ~spl0_8),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f649])).
3.71/0.90	thf(f1044,plain,(
3.71/0.90	  ((c @ (sK10 @ (sK12 @ spain)) @ france) = $true) | (~spl0_13 | ~spl0_20)),
3.71/0.90	  inference(trivial_inequality_removal,[status(thm)],[f1040])).
3.71/0.90	thf(f1040,plain,(
3.71/0.90	  ($false = $true) | ((c @ (sK10 @ (sK12 @ spain)) @ france) = $true) | (~spl0_13 | ~spl0_20)),
3.71/0.90	  inference(superposition,[status(thm)],[f589,f1028])).
3.71/0.90	thf(f1028,plain,(
3.71/0.90	  ((c @ (sK10 @ (sK12 @ spain)) @ paris) = $true) | ~spl0_20),
3.71/0.90	  inference(avatar_component_clause,[status(thm)],[f1026])).
3.71/0.90	thf(f589,plain,(
3.71/0.90	  ( ! [X1 : reg] : (($false = (c @ X1 @ paris)) | ((c @ X1 @ france) = $true)) ) | ~spl0_13),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f588])).
3.71/0.90	thf(f588,plain,(
3.71/0.90	  ( ! [X1 : reg] : ((((c @ X1 @ paris) => (c @ X1 @ france)) = $true)) ) | ~spl0_13),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f587])).
3.71/0.90	thf(f587,plain,(
3.71/0.90	  ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))) @ X1) = $true)) ) | ~spl0_13),
3.71/0.90	  inference(pi_clausification,[status(thm)],[f583])).
3.71/0.90	thf(f583,plain,(
3.71/0.90	  ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) = $true) | ~spl0_13),
3.71/0.90	  inference(avatar_component_clause,[status(thm)],[f581])).
3.71/0.90	thf(f1070,plain,(
3.71/0.90	  spl0_21 | ~spl0_8 | ~spl0_13 | ~spl0_20),
3.71/0.90	  inference(avatar_split_clause,[status(thm)],[f1057,f1026,f581,f362,f1034])).
3.71/0.90	thf(f1057,plain,(
3.71/0.90	  ((c @ (sK6 @ (sK12 @ spain)) @ (sK12 @ spain)) = $true) | (~spl0_8 | ~spl0_13 | ~spl0_20)),
3.71/0.90	  inference(trivial_inequality_removal,[status(thm)],[f1046])).
3.71/0.90	thf(f1046,plain,(
3.71/0.90	  ((c @ (sK6 @ (sK12 @ spain)) @ (sK12 @ spain)) = $true) | ($false = $true) | (~spl0_8 | ~spl0_13 | ~spl0_20)),
3.71/0.90	  inference(superposition,[status(thm)],[f1044,f738])).
3.71/0.90	thf(f738,plain,(
3.71/0.90	  ( ! [X1 : reg] : (($false = (c @ (sK10 @ X1) @ france)) | ((c @ (sK6 @ X1) @ X1) = $true)) ) | ~spl0_8),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f735])).
3.71/0.90	thf(f1037,plain,(
3.71/0.90	  spl0_20 | spl0_21 | ~spl0_1 | ~spl0_6 | ~spl0_8 | ~spl0_10 | ~spl0_15),
3.71/0.90	  inference(avatar_split_clause,[status(thm)],[f951,f683,f449,f362,f324,f226,f1034,f1026])).
3.71/0.90	thf(f226,definition,(
3.71/0.90	  spl0_1 <=> ((c @ catalunya @ paris) = $true)),
3.71/0.90	  introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
3.71/0.90	thf(f449,definition,(
3.71/0.90	  spl0_10 <=> ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) = $true)),
3.71/0.90	  introduced(definition,[new_symbols(naming,[spl0_10])],[avatar_definition])).
3.71/0.90	thf(f951,plain,(
3.71/0.90	  ((c @ (sK6 @ (sK12 @ spain)) @ (sK12 @ spain)) = $true) | ((c @ (sK10 @ (sK12 @ spain)) @ paris) = $true) | (~spl0_1 | ~spl0_6 | ~spl0_8 | ~spl0_10 | ~spl0_15)),
3.71/0.90	  inference(trivial_inequality_removal,[status(thm)],[f943])).
3.71/0.90	thf(f943,plain,(
3.71/0.90	  ((c @ (sK6 @ (sK12 @ spain)) @ (sK12 @ spain)) = $true) | ((c @ (sK10 @ (sK12 @ spain)) @ paris) = $true) | ($false = $true) | (~spl0_1 | ~spl0_6 | ~spl0_8 | ~spl0_10 | ~spl0_15)),
3.71/0.90	  inference(superposition,[status(thm)],[f924,f739])).
3.71/0.90	thf(f924,plain,(
3.71/0.90	  ( ! [X1 : reg] : (($false = (c @ X1 @ (sK12 @ spain))) | ((c @ X1 @ paris) = $true)) ) | (~spl0_1 | ~spl0_6 | ~spl0_8 | ~spl0_10 | ~spl0_15)),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f923])).
3.71/0.90	thf(f923,plain,(
3.71/0.90	  ( ! [X1 : reg] : ((((c @ X1 @ (sK12 @ spain)) => (c @ X1 @ paris)) = $true)) ) | (~spl0_1 | ~spl0_6 | ~spl0_8 | ~spl0_10 | ~spl0_15)),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f922])).
3.71/0.90	thf(f922,plain,(
3.71/0.90	  ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ (sK12 @ spain)) => (c @ Y0 @ paris))) @ X1) = $true)) ) | (~spl0_1 | ~spl0_6 | ~spl0_8 | ~spl0_10 | ~spl0_15)),
3.71/0.90	  inference(pi_clausification,[status(thm)],[f912])).
3.71/0.90	thf(f912,plain,(
3.71/0.90	  ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ (sK12 @ spain)) => (c @ Y0 @ paris)))) = $true) | (~spl0_1 | ~spl0_6 | ~spl0_8 | ~spl0_10 | ~spl0_15)),
3.71/0.90	  inference(trivial_inequality_removal,[status(thm)],[f911])).
3.71/0.90	thf(f911,plain,(
3.71/0.90	  ($false = $true) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ (sK12 @ spain)) => (c @ Y0 @ paris)))) = $true) | (~spl0_1 | ~spl0_6 | ~spl0_8 | ~spl0_10 | ~spl0_15)),
3.71/0.90	  inference(backward_demodulation,[status(thm)],[f849,f904])).
3.71/0.90	thf(f904,plain,(
3.71/0.90	  ((c @ spain @ paris) = $true) | (~spl0_1 | ~spl0_10)),
3.71/0.90	  inference(trivial_inequality_removal,[status(thm)],[f903])).
3.71/0.90	thf(f903,plain,(
3.71/0.90	  ($false = $true) | ((c @ spain @ paris) = $true) | (~spl0_1 | ~spl0_10)),
3.71/0.90	  inference(superposition,[status(thm)],[f249,f885])).
3.71/0.90	thf(f885,plain,(
3.71/0.90	  ((c @ paris @ spain) = $true) | (~spl0_1 | ~spl0_10)),
3.71/0.90	  inference(trivial_inequality_removal,[status(thm)],[f879])).
3.71/0.90	thf(f879,plain,(
3.71/0.90	  ($false = $true) | ((c @ paris @ spain) = $true) | (~spl0_1 | ~spl0_10)),
3.71/0.90	  inference(superposition,[status(thm)],[f876,f484])).
3.71/0.90	thf(f484,plain,(
3.71/0.90	  ( ! [X1 : reg] : (($false = (c @ X1 @ catalunya)) | ((c @ X1 @ spain) = $true)) ) | ~spl0_10),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f481])).
3.71/0.90	thf(f481,plain,(
3.71/0.90	  ( ! [X1 : reg] : ((((c @ X1 @ catalunya) => (c @ X1 @ spain)) = $true)) ) | ~spl0_10),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f478])).
3.71/0.90	thf(f478,plain,(
3.71/0.90	  ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))) @ X1) = $true)) ) | ~spl0_10),
3.71/0.90	  inference(pi_clausification,[status(thm)],[f451])).
3.71/0.90	thf(f451,plain,(
3.71/0.90	  ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) = $true) | ~spl0_10),
3.71/0.90	  inference(avatar_component_clause,[status(thm)],[f449])).
3.71/0.90	thf(f876,plain,(
3.71/0.90	  ((c @ paris @ catalunya) = $true) | ~spl0_1),
3.71/0.90	  inference(trivial_inequality_removal,[status(thm)],[f872])).
3.71/0.90	thf(f872,plain,(
3.71/0.90	  ($false = $true) | ((c @ paris @ catalunya) = $true) | ~spl0_1),
3.71/0.90	  inference(superposition,[status(thm)],[f249,f228])).
3.71/0.90	thf(f228,plain,(
3.71/0.90	  ((c @ catalunya @ paris) = $true) | ~spl0_1),
3.71/0.90	  inference(avatar_component_clause,[status(thm)],[f226])).
3.71/0.90	thf(f249,plain,(
3.71/0.90	  ( ! [X2 : reg,X1 : reg] : (($false = (c @ X1 @ X2)) | ((c @ X2 @ X1) = $true)) )),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f248])).
3.71/0.90	thf(f248,plain,(
3.71/0.90	  ( ! [X2 : reg,X1 : reg] : ((((c @ X1 @ X2) => (c @ X2 @ X1)) = $true)) )),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f247])).
3.71/0.90	thf(f247,plain,(
3.71/0.90	  ( ! [X2 : reg,X1 : reg] : ((((^[Y0 : reg]: ((c @ X1 @ Y0) => (c @ Y0 @ X1))) @ X2) = $true)) )),
3.71/0.90	  inference(pi_clausification,[status(thm)],[f244])).
3.71/0.90	thf(f244,plain,(
3.71/0.90	  ( ! [X1 : reg] : (((!! @ reg @ (^[Y0 : reg]: ((c @ X1 @ Y0) => (c @ Y0 @ X1)))) = $true)) )),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f243])).
3.71/0.90	thf(f243,plain,(
3.71/0.90	  ( ! [X1 : reg] : ((((^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y0 @ Y1) => (c @ Y1 @ Y0))))) @ X1) = $true)) )),
3.71/0.90	  inference(pi_clausification,[status(thm)],[f160])).
3.71/0.90	thf(f160,plain,(
3.71/0.90	  ((!! @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y0 @ Y1) => (c @ Y1 @ Y0)))))) = $true)),
3.71/0.90	  inference(cnf_transformation,[status(thm)],[f70])).
3.71/0.90	thf(f70,plain,(
3.71/0.90	  ((!! @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y0 @ Y1) => (c @ Y1 @ Y0)))))) = $true)),
3.71/0.90	  inference(fool_elimination,[status(thm)],[f69])).
3.71/0.90	thf(f69,plain,(
3.71/0.90	  ! [X0 : reg,X1 : reg] : ((c @ X1 @ X0) => (c @ X0 @ X1))),
3.71/0.90	  inference(rectify,[status(thm)],[f42])).
3.71/0.90	thf(f42,axiom,(
3.71/0.90	  ! [X1 : reg,X0 : reg] : ((c @ X0 @ X1) => (c @ X1 @ X0))),
3.71/0.90	  file('/export/starexec/sandbox/tmp/tmp.RNn540Kbzg/E---3.1_28565.p',c_symmetric)).
3.71/0.90	thf(f925,plain,(
3.71/0.90	  spl0_2 | ~spl0_1 | ~spl0_10),
3.71/0.90	  inference(avatar_split_clause,[status(thm)],[f904,f449,f226,f230])).
3.71/0.90	thf(f686,plain,(
3.71/0.90	  spl0_15 | spl0_9),
3.71/0.90	  inference(avatar_split_clause,[status(thm)],[f529,f446,f683])).
3.71/0.90	thf(f446,definition,(
3.71/0.90	  spl0_9 <=> ! [X2 : $i,X1 : $i] : ($false = (a @ X1 @ X2))),
3.71/0.90	  introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition])).
3.71/0.90	thf(f529,plain,(
3.71/0.90	  ( ! [X2 : $i,X1 : $i] : (($false = (a @ X1 @ X2)) | ($false = (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris))))))) )),
3.71/0.90	  inference(not_proxy_clausification,[status(thm)],[f528])).
3.71/0.90	thf(f528,plain,(
3.71/0.90	  ( ! [X2 : $i,X1 : $i] : (((~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)))))) = $true) | ($false = (a @ X1 @ X2))) )),
3.71/0.90	  inference(not_proxy_clausification,[status(thm)],[f523])).
3.71/0.90	thf(f523,plain,(
3.71/0.90	  ( ! [X2 : $i,X1 : $i] : (((~ (a @ X1 @ X2)) = $true) | ((~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)))))) = $true)) )),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f521])).
3.71/0.90	thf(f521,plain,(
3.71/0.90	  ( ! [X2 : $i,X1 : $i] : ((((~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))))) = $true) | ((~ (a @ X1 @ X2)) = $true)) )),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f520])).
3.71/0.90	thf(f520,plain,(
3.71/0.90	  ( ! [X2 : $i,X1 : $i] : (($true = ((~ (a @ X1 @ X2)) | ((~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))))))) )),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f519])).
3.71/0.90	thf(f519,plain,(
3.71/0.90	  ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ france)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ paris)))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))))))) @ X2) = $true)) )),
3.71/0.90	  inference(pi_clausification,[status(thm)],[f502])).
3.71/0.90	thf(f502,plain,(
3.71/0.90	  ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ france)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ paris)))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france))))))))) = $true)) )),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f501])).
3.71/0.90	thf(f501,plain,(
3.71/0.90	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ france)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ paris)))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))))))))) @ X1) = $true)) )),
3.71/0.90	  inference(pi_clausification,[status(thm)],[f213])).
3.71/0.90	thf(f213,plain,(
3.71/0.90	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ france)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ paris)))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france))))))))))) = $true)),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f204])).
3.71/0.90	thf(f204,plain,(
3.71/0.90	  (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((~ (?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y2) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y1))))) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ paris @ france)))) = $true)),
3.71/0.90	  inference(definition_unfolding,[status(thm)],[f145,f178,f175,f203])).
3.71/0.90	thf(f203,plain,(
3.71/0.90	  (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y1) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y0))))) & ((^[Y2 : reg]: ((^[Y3 : reg]: ((~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)) & ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3))))) @ Y0 @ Y1))))))),
3.71/0.90	  inference(definition_unfolding,[status(thm)],[f183,f200,f200,f201])).
3.71/0.90	thf(f201,plain,(
3.71/0.90	  (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y1 @ Y0)) & ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y0 @ Y1))))))),
3.71/0.90	  inference(definition_unfolding,[status(thm)],[f173,f168,f168])).
3.71/0.90	thf(f168,plain,(
3.71/0.90	  (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
3.71/0.90	  inference(cnf_transformation,[status(thm)],[f98])).
3.71/0.90	thf(f98,plain,(
3.71/0.90	  (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
3.71/0.90	  inference(fool_elimination,[status(thm)],[f97])).
3.71/0.90	thf(f97,plain,(
3.71/0.90	  ((^[X0 : reg, X1 : reg] : (! [X2 : reg] : ((c @ X2 @ X0) => (c @ X2 @ X1)))) = p)),
3.71/0.90	  inference(rectify,[status(thm)],[f33])).
3.71/0.90	thf(f33,axiom,(
3.71/0.90	  ((^[X0 : reg, X1 : reg] : (! [X11 : reg] : ((c @ X11 @ X0) => (c @ X11 @ X1)))) = p)),
3.71/0.90	  file('/export/starexec/sandbox/tmp/tmp.RNn540Kbzg/E---3.1_28565.p',p)).
3.71/0.90	thf(f173,plain,(
3.71/0.90	  (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (p @ Y1 @ Y0)) & (p @ Y0 @ Y1))))))),
3.71/0.90	  inference(cnf_transformation,[status(thm)],[f140])).
3.71/0.90	thf(f140,plain,(
3.71/0.90	  (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (p @ Y1 @ Y0)) & (p @ Y0 @ Y1))))))),
3.71/0.90	  inference(fool_elimination,[status(thm)],[f139])).
3.71/0.90	thf(f139,plain,(
3.71/0.90	  ((^[X0 : reg, X1 : reg] : ((p @ X0 @ X1) & ~(p @ X1 @ X0))) = pp)),
3.71/0.90	  inference(rectify,[status(thm)],[f38])).
3.71/0.90	thf(f38,axiom,(
3.71/0.90	  ((^[X0 : reg, X1 : reg] : ((p @ X0 @ X1) & ~(p @ X1 @ X0))) = pp)),
3.71/0.90	  file('/export/starexec/sandbox/tmp/tmp.RNn540Kbzg/E---3.1_28565.p',pp)).
3.71/0.90	thf(f200,plain,(
3.71/0.90	  (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ ((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2))))))) @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))),
3.71/0.90	  inference(definition_unfolding,[status(thm)],[f152,f198])).
3.71/0.90	thf(f198,plain,(
3.71/0.90	  (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y1) & ((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y0))))))))),
3.71/0.90	  inference(definition_unfolding,[status(thm)],[f149,f168,f168])).
3.71/0.90	thf(f149,plain,(
3.71/0.90	  (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y1) & (p @ Y2 @ Y0))))))))),
3.71/0.90	  inference(cnf_transformation,[status(thm)],[f96])).
3.71/0.90	thf(f96,plain,(
3.71/0.90	  (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y1) & (p @ Y2 @ Y0))))))))),
3.71/0.90	  inference(fool_elimination,[status(thm)],[f95])).
3.71/0.90	thf(f95,plain,(
3.71/0.90	  (o = (^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((p @ X2 @ X0) & (p @ X2 @ X1)))))),
3.71/0.90	  inference(rectify,[status(thm)],[f35])).
3.71/0.90	thf(f35,axiom,(
3.71/0.90	  (o = (^[X0 : reg, X1 : reg] : (? [X11 : reg] : ((p @ X11 @ X0) & (p @ X11 @ X1)))))),
3.71/0.90	  file('/export/starexec/sandbox/tmp/tmp.RNn540Kbzg/E---3.1_28565.p',o)).
3.71/0.90	thf(f152,plain,(
3.71/0.90	  (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (o @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))),
3.71/0.90	  inference(cnf_transformation,[status(thm)],[f55])).
3.71/0.90	thf(f55,plain,(
3.71/0.90	  (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (o @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))),
3.71/0.90	  inference(fool_elimination,[status(thm)],[f54])).
3.71/0.90	thf(f54,plain,(
3.71/0.90	  ((^[X0 : reg, X1 : reg] : ((c @ X0 @ X1) & ~(o @ X0 @ X1))) = ec)),
3.71/0.90	  inference(rectify,[status(thm)],[f37])).
3.71/0.90	thf(f37,axiom,(
3.71/0.90	  ((^[X0 : reg, X1 : reg] : ((c @ X0 @ X1) & ~(o @ X0 @ X1))) = ec)),
3.71/0.90	  file('/export/starexec/sandbox/tmp/tmp.RNn540Kbzg/E---3.1_28565.p',ec)).
3.71/0.90	thf(f183,plain,(
3.71/0.90	  (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y1) & (ec @ Y2 @ Y0))))) & (pp @ Y0 @ Y1))))))),
3.71/0.90	  inference(cnf_transformation,[status(thm)],[f104])).
3.71/0.90	thf(f104,plain,(
3.71/0.90	  (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y1) & (ec @ Y2 @ Y0))))) & (pp @ Y0 @ Y1))))))),
3.71/0.90	  inference(fool_elimination,[status(thm)],[f103])).
3.71/0.90	thf(f103,plain,(
3.71/0.90	  ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ~? [X2 : reg] : ((ec @ X2 @ X0) & (ec @ X2 @ X1)))) = ntpp)),
3.71/0.90	  inference(rectify,[status(thm)],[f40])).
3.71/0.90	thf(f40,axiom,(
3.71/0.90	  ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ~? [X11 : reg] : ((ec @ X11 @ X0) & (ec @ X11 @ X1)))) = ntpp)),
3.71/0.90	  file('/export/starexec/sandbox/tmp/tmp.RNn540Kbzg/E---3.1_28565.p',ntpp)).
3.71/0.90	thf(f175,plain,(
3.71/0.90	  (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
3.71/0.90	  inference(cnf_transformation,[status(thm)],[f72])).
3.71/0.90	thf(f72,plain,(
3.71/0.90	  (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
3.71/0.90	  inference(fool_elimination,[status(thm)],[f71])).
3.71/0.90	thf(f71,plain,(
3.71/0.90	  (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3 : $i] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))))),
3.71/0.90	  inference(rectify,[status(thm)],[f16])).
3.71/0.90	thf(f16,axiom,(
3.71/0.90	  (mbox = (^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7 : $i] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))))),
3.71/0.90	  file('/export/starexec/sandbox/tmp/tmp.RNn540Kbzg/E---3.1_28565.p',mbox)).
3.71/0.90	thf(f178,plain,(
3.71/0.90	  (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
3.71/0.90	  inference(cnf_transformation,[status(thm)],[f118])).
3.71/0.90	thf(f118,plain,(
3.71/0.90	  (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
3.71/0.90	  inference(fool_elimination,[status(thm)],[f117])).
3.71/0.90	thf(f117,plain,(
3.71/0.90	  (mvalid = (^[X0 : $i > $o] : (! [X1 : $i] : (X0 @ X1))))),
3.71/0.90	  inference(rectify,[status(thm)],[f28])).
3.71/0.90	thf(f28,axiom,(
3.71/0.90	  (mvalid = (^[X3 : $i > $o] : (! [X2 : $i] : (X3 @ X2))))),
3.71/0.90	  file('/export/starexec/sandbox/tmp/tmp.RNn540Kbzg/E---3.1_28565.p',mvalid)).
3.71/0.90	thf(f145,plain,(
3.71/0.90	  ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))) = $true)),
3.71/0.90	  inference(cnf_transformation,[status(thm)],[f120])).
3.71/0.90	thf(f120,plain,(
3.71/0.90	  ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))) = $true)),
3.71/0.90	  inference(fool_elimination,[status(thm)],[f119])).
3.71/0.90	thf(f119,plain,(
3.71/0.90	  (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
3.71/0.90	  inference(rectify,[status(thm)],[f48])).
3.71/0.90	thf(f48,axiom,(
3.71/0.90	  (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
3.71/0.90	  file('/export/starexec/sandbox/tmp/tmp.RNn540Kbzg/E---3.1_28565.p',ax3)).
3.71/0.90	thf(f584,plain,(
3.71/0.90	  spl0_13 | spl0_9),
3.71/0.90	  inference(avatar_split_clause,[status(thm)],[f525,f446,f581])).
3.71/0.90	thf(f525,plain,(
3.71/0.90	  ( ! [X2 : $i,X1 : $i] : (($false = (a @ X1 @ X2)) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) = $true)) )),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f524])).
3.71/0.90	thf(f524,plain,(
3.71/0.90	  ( ! [X2 : $i,X1 : $i] : ((((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) = $true) | ($false = (a @ X1 @ X2))) )),
3.71/0.90	  inference(not_proxy_clausification,[status(thm)],[f522])).
3.71/0.90	thf(f522,plain,(
3.71/0.90	  ( ! [X2 : $i,X1 : $i] : (((~ (a @ X1 @ X2)) = $true) | (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) = $true)) )),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f521])).
3.71/0.90	thf(f458,plain,(
3.71/0.90	  ~spl0_9),
3.71/0.90	  inference(avatar_contradiction_clause,[status(thm)],[f457])).
3.71/0.90	thf(f457,plain,(
3.71/0.90	  $false | ~spl0_9),
3.71/0.90	  inference(trivial_inequality_removal,[status(thm)],[f454])).
3.71/0.90	thf(f454,plain,(
3.71/0.90	  ($false = $true) | ~spl0_9),
3.71/0.90	  inference(backward_demodulation,[status(thm)],[f224,f447])).
3.71/0.90	thf(f447,plain,(
3.71/0.90	  ( ! [X2 : $i,X1 : $i] : (($false = (a @ X1 @ X2))) ) | ~spl0_9),
3.71/0.90	  inference(avatar_component_clause,[status(thm)],[f446])).
3.71/0.90	thf(f224,plain,(
3.71/0.90	  ((a @ sK2 @ sK3) = $true)),
3.71/0.90	  inference(not_proxy_clausification,[status(thm)],[f220])).
3.71/0.90	thf(f220,plain,(
3.71/0.90	  ($false = (~ (a @ sK2 @ sK3)))),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f218])).
3.71/0.90	thf(f218,plain,(
3.71/0.90	  ($false = ((~ (a @ sK2 @ sK3)) | ((~ (c @ spain @ paris)) & (~ (c @ catalunya @ paris)))))),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f217])).
3.71/0.90	thf(f217,plain,(
3.71/0.90	  ($false = ((^[Y0 : $i]: ((~ (a @ sK2 @ Y0)) | ((~ (c @ spain @ paris)) & (~ (c @ catalunya @ paris))))) @ sK3))),
3.71/0.90	  inference(sigma_clausification,[status(thm)],[f216])).
3.71/0.90	thf(f216,plain,(
3.71/0.90	  ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (a @ sK2 @ Y0)) | ((~ (c @ spain @ paris)) & (~ (c @ catalunya @ paris)))))))),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f215])).
3.71/0.90	thf(f215,plain,(
3.71/0.90	  ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((~ (c @ spain @ paris)) & (~ (c @ catalunya @ paris))))))) @ sK2))),
3.71/0.90	  inference(sigma_clausification,[status(thm)],[f214])).
3.71/0.90	thf(f214,plain,(
3.71/0.90	  ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((~ (c @ spain @ paris)) & (~ (c @ catalunya @ paris)))))))))),
3.71/0.90	  inference(not_proxy_clausification,[status(thm)],[f211])).
3.71/0.90	thf(f211,plain,(
3.71/0.90	  ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((~ (c @ spain @ paris)) & (~ (c @ catalunya @ paris))))))))) = $true)),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f205])).
3.71/0.90	thf(f205,plain,(
3.71/0.90	  ((~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: (((^[Y1 : reg]: ((^[Y2 : reg]: (~ (c @ Y1 @ Y2))))) @ spain @ paris) & ((^[Y1 : reg]: ((^[Y2 : reg]: (~ (c @ Y1 @ Y2))))) @ catalunya @ paris)))))) = $true)),
3.71/0.90	  inference(definition_unfolding,[status(thm)],[f147,f178,f175,f169,f169])).
3.71/0.90	thf(f169,plain,(
3.71/0.90	  (dc = (^[Y0 : reg]: ((^[Y1 : reg]: (~ (c @ Y0 @ Y1))))))),
3.71/0.90	  inference(cnf_transformation,[status(thm)],[f126])).
3.71/0.90	thf(f126,plain,(
3.71/0.90	  (dc = (^[Y0 : reg]: ((^[Y1 : reg]: (~ (c @ Y0 @ Y1))))))),
3.71/0.90	  inference(fool_elimination,[status(thm)],[f125])).
3.71/0.90	thf(f125,plain,(
3.71/0.90	  ((^[X0 : reg, X1 : reg] : (~(c @ X0 @ X1))) = dc)),
3.71/0.90	  inference(rectify,[status(thm)],[f32])).
3.71/0.90	thf(f32,axiom,(
3.71/0.90	  ((^[X0 : reg, X1 : reg] : (~(c @ X0 @ X1))) = dc)),
3.71/0.90	  file('/export/starexec/sandbox/tmp/tmp.RNn540Kbzg/E---3.1_28565.p',dc)).
3.71/0.90	thf(f147,plain,(
3.71/0.90	  ((~ (mvalid @ (mbox @ a @ (^[Y0 : $i]: ((dc @ spain @ paris) & (dc @ catalunya @ paris)))))) = $true)),
3.71/0.90	  inference(cnf_transformation,[status(thm)],[f112])).
3.71/0.90	thf(f112,plain,(
3.71/0.90	  ((~ (mvalid @ (mbox @ a @ (^[Y0 : $i]: ((dc @ spain @ paris) & (dc @ catalunya @ paris)))))) = $true)),
3.71/0.90	  inference(fool_elimination,[status(thm)],[f111])).
3.71/0.90	thf(f111,plain,(
3.71/0.90	  ~(mvalid @ (mbox @ a @ (^[X0 : $i] : ((dc @ catalunya @ paris) & (dc @ spain @ paris)))))),
3.71/0.90	  inference(rectify,[status(thm)],[f46])).
3.71/0.90	thf(f46,negated_conjecture,(
3.71/0.90	  ~(mvalid @ (mbox @ a @ (^[X0 : $i] : ((dc @ catalunya @ paris) & (dc @ spain @ paris)))))),
3.71/0.90	  inference(negated_conjecture,[status(cth)],[f45])).
3.71/0.90	thf(f45,conjecture,(
3.71/0.90	  (mvalid @ (mbox @ a @ (^[X0 : $i] : ((dc @ catalunya @ paris) & (dc @ spain @ paris)))))),
3.71/0.90	  file('/export/starexec/sandbox/tmp/tmp.RNn540Kbzg/E---3.1_28565.p',con)).
3.71/0.90	thf(f452,plain,(
3.71/0.90	  spl0_9 | spl0_10),
3.71/0.90	  inference(avatar_split_clause,[status(thm)],[f442,f449,f446])).
3.71/0.90	thf(f442,plain,(
3.71/0.90	  ( ! [X2 : $i,X1 : $i] : (($false = (a @ X1 @ X2)) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) = $true)) )),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f441])).
3.71/0.90	thf(f441,plain,(
3.71/0.90	  ( ! [X2 : $i,X1 : $i] : ((((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))) = $true) | ($false = (a @ X1 @ X2))) )),
3.71/0.90	  inference(not_proxy_clausification,[status(thm)],[f438])).
3.71/0.90	thf(f438,plain,(
3.71/0.90	  ( ! [X2 : $i,X1 : $i] : (((~ (a @ X1 @ X2)) = $true) | (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))) = $true)) )),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f437])).
3.71/0.90	thf(f437,plain,(
3.71/0.90	  ( ! [X2 : $i,X1 : $i] : ((((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ catalunya))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))))) = $true) | ((~ (a @ X1 @ X2)) = $true)) )),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f436])).
3.71/0.90	thf(f436,plain,(
3.71/0.90	  ( ! [X2 : $i,X1 : $i] : ((((~ (a @ X1 @ X2)) | ((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ catalunya))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))))) = $true)) )),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f435])).
3.71/0.90	thf(f435,plain,(
3.71/0.90	  ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ spain)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ catalunya))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))))))) @ X2) = $true)) )),
3.71/0.90	  inference(pi_clausification,[status(thm)],[f360])).
3.71/0.90	thf(f360,plain,(
3.71/0.90	  ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ spain)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ catalunya))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain))))))))) = $true)) )),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f359])).
3.71/0.90	thf(f359,plain,(
3.71/0.90	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ spain)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ catalunya))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))))))))) @ X1) = $true)) )),
3.71/0.90	  inference(pi_clausification,[status(thm)],[f212])).
3.71/0.90	thf(f212,plain,(
3.71/0.90	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ spain)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ catalunya))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain))))))))))) = $true)),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f208])).
3.71/0.90	thf(f208,plain,(
3.71/0.90	  (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y2) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y1)))) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ catalunya @ spain)))) = $true)),
3.71/0.90	  inference(definition_unfolding,[status(thm)],[f162,f178,f175,f202])).
3.71/0.90	thf(f202,plain,(
3.71/0.90	  (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y1) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y0)))) & ((^[Y2 : reg]: ((^[Y3 : reg]: ((~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)) & ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3))))) @ Y0 @ Y1))))))),
3.71/0.90	  inference(definition_unfolding,[status(thm)],[f148,f200,f200,f201])).
3.71/0.90	thf(f148,plain,(
3.71/0.90	  (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y1) & (ec @ Y2 @ Y0)))) & (pp @ Y0 @ Y1))))))),
3.71/0.90	  inference(cnf_transformation,[status(thm)],[f124])).
3.71/0.90	thf(f124,plain,(
3.71/0.90	  (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y1) & (ec @ Y2 @ Y0)))) & (pp @ Y0 @ Y1))))))),
3.71/0.90	  inference(fool_elimination,[status(thm)],[f123])).
3.71/0.90	thf(f123,plain,(
3.71/0.90	  (tpp = (^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X2 : reg] : ((ec @ X2 @ X0) & (ec @ X2 @ X1)))))),
3.71/0.90	  inference(rectify,[status(thm)],[f39])).
3.71/0.90	thf(f39,axiom,(
3.71/0.90	  (tpp = (^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X11 : reg] : ((ec @ X11 @ X0) & (ec @ X11 @ X1)))))),
3.71/0.90	  file('/export/starexec/sandbox/tmp/tmp.RNn540Kbzg/E---3.1_28565.p',tpp)).
3.71/0.90	thf(f162,plain,(
3.71/0.90	  ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))) = $true)),
3.71/0.90	  inference(cnf_transformation,[status(thm)],[f106])).
3.71/0.90	thf(f106,plain,(
3.71/0.90	  ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))) = $true)),
3.71/0.90	  inference(fool_elimination,[status(thm)],[f105])).
3.71/0.90	thf(f105,plain,(
3.71/0.90	  (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
3.71/0.90	  inference(rectify,[status(thm)],[f47])).
3.71/0.90	thf(f47,axiom,(
3.71/0.90	  (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
3.71/0.90	  file('/export/starexec/sandbox/tmp/tmp.RNn540Kbzg/E---3.1_28565.p',ax1)).
3.71/0.90	thf(f385,plain,(
3.71/0.90	  ~spl0_7),
3.71/0.90	  inference(avatar_contradiction_clause,[status(thm)],[f384])).
3.71/0.90	thf(f384,plain,(
3.71/0.90	  $false | ~spl0_7),
3.71/0.90	  inference(trivial_inequality_removal,[status(thm)],[f382])).
3.71/0.90	thf(f382,plain,(
3.71/0.90	  ($false = $true) | ~spl0_7),
3.71/0.90	  inference(backward_demodulation,[status(thm)],[f224,f375])).
3.71/0.90	thf(f375,plain,(
3.71/0.90	  ( ! [X0 : $i,X1 : $i] : (($false = (a @ X0 @ X1))) ) | ~spl0_7),
3.71/0.90	  inference(trivial_inequality_removal,[status(thm)],[f366])).
3.71/0.90	thf(f366,plain,(
3.71/0.90	  ( ! [X0 : $i,X1 : $i] : (($false = $true) | ($false = (a @ X0 @ X1))) ) | ~spl0_7),
3.71/0.90	  inference(backward_demodulation,[status(thm)],[f297,f329])).
3.71/0.90	thf(f329,plain,(
3.71/0.90	  ( ! [X2 : $i,X1 : $i] : (($false = (fool @ X1 @ X2))) ) | ~spl0_7),
3.71/0.90	  inference(avatar_component_clause,[status(thm)],[f328])).
3.71/0.90	thf(f328,definition,(
3.71/0.90	  spl0_7 <=> ! [X2 : $i,X1 : $i] : ($false = (fool @ X1 @ X2))),
3.71/0.90	  introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition])).
3.71/0.90	thf(f297,plain,(
3.71/0.90	  ( ! [X0 : $i,X1 : $i] : (($false = (a @ X0 @ X1)) | ((fool @ X0 @ X1) = $true)) )),
3.71/0.90	  inference(trivial_inequality_removal,[status(thm)],[f296])).
3.71/0.90	thf(f296,plain,(
3.71/0.90	  ( ! [X0 : $i,X1 : $i] : (($false != $false) | ($false = (a @ X0 @ X1)) | ((fool @ X0 @ X1) = $true)) )),
3.71/0.90	  inference(duplicate_literal_removal,[status(thm)],[f295])).
3.71/0.90	thf(f295,plain,(
3.71/0.90	  ( ! [X0 : $i,X1 : $i] : (($false = (a @ X0 @ X1)) | ($false != $false) | ((fool @ X0 @ X1) = $true) | ((fool @ X0 @ X1) = $true)) )),
3.71/0.90	  inference(equality_factoring,[status(thm)],[f290])).
3.71/0.90	thf(f290,plain,(
3.71/0.90	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (a @ X0 @ X2)) | ($false = (a @ X0 @ X1)) | ((fool @ X0 @ X1) = $true) | ((fool @ X0 @ X2) = $true)) )),
3.71/0.90	  inference(trivial_inequality_removal,[status(thm)],[f286])).
3.71/0.90	thf(f286,plain,(
3.71/0.90	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (((fool @ X0 @ X2) = $true) | ($false = (a @ X0 @ X1)) | ($false = $true) | ($false = (a @ X0 @ X2)) | ((fool @ X0 @ X1) = $true)) )),
3.71/0.90	  inference(superposition,[status(thm)],[f274,f282])).
3.71/0.90	thf(f282,plain,(
3.71/0.90	  ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (((fool @ X1 @ (sK5 @ X1 @ X2)) = $true) | ((X2 @ X3) = $true) | ((a @ X1 @ X3) = $false)) )),
3.71/0.90	  inference(not_proxy_clausification,[status(thm)],[f281])).
3.71/0.90	thf(f281,plain,(
3.71/0.90	  ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (((~ (a @ X1 @ X3)) = $true) | ((fool @ X1 @ (sK5 @ X1 @ X2)) = $true) | ((X2 @ X3) = $true)) )),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f280])).
3.71/0.90	thf(f280,plain,(
3.71/0.90	  ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : ((((~ (a @ X1 @ X3)) | (X2 @ X3)) = $true) | ((fool @ X1 @ (sK5 @ X1 @ X2)) = $true)) )),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f279])).
3.71/0.90	thf(f279,plain,(
3.71/0.90	  ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (((fool @ X1 @ (sK5 @ X1 @ X2)) = $true) | (((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0))) @ X3) = $true)) )),
3.71/0.90	  inference(pi_clausification,[status(thm)],[f270])).
3.71/0.90	thf(f270,plain,(
3.71/0.90	  ( ! [X2 : $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0)))) = $true) | ((fool @ X1 @ (sK5 @ X1 @ X2)) = $true)) )),
3.71/0.90	  inference(not_proxy_clausification,[status(thm)],[f269])).
3.71/0.90	thf(f269,plain,(
3.71/0.90	  ( ! [X2 : $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0)))) = $true) | ($false = (~ (fool @ X1 @ (sK5 @ X1 @ X2))))) )),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f267])).
3.71/0.90	thf(f267,plain,(
3.71/0.90	  ( ! [X2 : $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0)))) = $true) | ($false = ((~ (fool @ X1 @ (sK5 @ X1 @ X2))) | (X2 @ (sK5 @ X1 @ X2))))) )),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f266])).
3.71/0.90	thf(f266,plain,(
3.71/0.90	  ( ! [X2 : $i > $o,X1 : $i] : (($false = ((^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0))) @ (sK5 @ X1 @ X2))) | ((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0)))) = $true)) )),
3.71/0.90	  inference(sigma_clausification,[status(thm)],[f265])).
3.71/0.90	thf(f265,plain,(
3.71/0.90	  ( ! [X2 : $i > $o,X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0))))) | ((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0)))) = $true)) )),
3.71/0.90	  inference(not_proxy_clausification,[status(thm)],[f264])).
3.71/0.90	thf(f264,plain,(
3.71/0.90	  ( ! [X2 : $i > $o,X1 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0)))) = $true)) )),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f263])).
3.71/0.90	thf(f263,plain,(
3.71/0.90	  ( ! [X2 : $i > $o,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0)))))) = $true)) )),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f262])).
3.71/0.90	thf(f262,plain,(
3.71/0.90	  ( ! [X2 : $i > $o,X1 : $i] : ((((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (a @ X1 @ Y1)) | (Y0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ X1 @ Y1)) | (Y0 @ Y1))))))) @ X2) = $true)) )),
3.71/0.90	  inference(pi_clausification,[status(thm)],[f246])).
3.71/0.90	thf(f246,plain,(
3.71/0.90	  ( ! [X1 : $i] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (a @ X1 @ Y1)) | (Y0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ X1 @ Y1)) | (Y0 @ Y1)))))))) = $true)) )),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f245])).
3.71/0.90	thf(f245,plain,(
3.71/0.90	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (a @ Y0 @ Y2)) | (Y1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (fool @ Y0 @ Y2)) | (Y1 @ Y2))))))))) @ X1) = $true)) )),
3.71/0.90	  inference(pi_clausification,[status(thm)],[f209])).
3.71/0.90	thf(f209,plain,(
3.71/0.90	  ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (a @ Y0 @ Y2)) | (Y1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (fool @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) = $true)),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f206])).
3.71/0.90	thf(f206,plain,(
3.71/0.90	  (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y4 @ Y5) | (Y3 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ fool @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ a @ Y0))))) = $true)),
3.71/0.90	  inference(definition_unfolding,[status(thm)],[f156,f178,f179,f189,f175,f175])).
3.71/0.90	thf(f189,plain,(
3.71/0.90	  (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
3.71/0.90	  inference(definition_unfolding,[status(thm)],[f159,f182,f172])).
3.71/0.90	thf(f172,plain,(
3.71/0.90	  (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
3.71/0.90	  inference(cnf_transformation,[status(thm)],[f68])).
3.71/0.90	thf(f68,plain,(
3.71/0.90	  (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
3.71/0.90	  inference(fool_elimination,[status(thm)],[f67])).
3.71/0.90	thf(f67,plain,(
3.71/0.90	  ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
3.71/0.90	  inference(rectify,[status(thm)],[f3])).
3.71/0.90	thf(f3,axiom,(
3.71/0.90	  ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
3.71/0.90	  file('/export/starexec/sandbox/tmp/tmp.RNn540Kbzg/E---3.1_28565.p',mnot)).
3.71/0.90	thf(f182,plain,(
3.71/0.90	  (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
3.71/0.90	  inference(cnf_transformation,[status(thm)],[f78])).
3.71/0.90	thf(f78,plain,(
3.71/0.90	  (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
3.71/0.90	  inference(fool_elimination,[status(thm)],[f77])).
3.71/0.90	thf(f77,plain,(
3.71/0.90	  ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))) = mor)),
3.71/0.90	  inference(rectify,[status(thm)],[f4])).
3.71/0.90	thf(f4,axiom,(
3.71/0.90	  ((^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))) = mor)),
3.71/0.90	  file('/export/starexec/sandbox/tmp/tmp.RNn540Kbzg/E---3.1_28565.p',mor)).
3.71/0.90	thf(f159,plain,(
3.71/0.90	  (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
3.71/0.90	  inference(cnf_transformation,[status(thm)],[f92])).
3.71/0.90	thf(f92,plain,(
3.71/0.90	  (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
3.71/0.90	  inference(fool_elimination,[status(thm)],[f91])).
3.71/0.90	thf(f91,plain,(
3.71/0.90	  (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
3.71/0.90	  inference(rectify,[status(thm)],[f6])).
3.71/0.90	thf(f6,axiom,(
3.71/0.90	  (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))),
3.71/0.90	  file('/export/starexec/sandbox/tmp/tmp.RNn540Kbzg/E---3.1_28565.p',mimplies)).
3.71/0.90	thf(f179,plain,(
3.71/0.90	  (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
3.71/0.90	  inference(cnf_transformation,[status(thm)],[f66])).
3.71/0.90	thf(f66,plain,(
3.71/0.90	  (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
3.71/0.90	  inference(fool_elimination,[status(thm)],[f65])).
3.71/0.90	thf(f65,plain,(
3.71/0.90	  (mforall_prop = (^[X0 : ($i > $o) > $i > $o, X1 : $i] : (! [X2 : $i > $o] : (X0 @ X2 @ X1))))),
3.71/0.90	  inference(rectify,[status(thm)],[f11])).
3.71/0.90	thf(f11,axiom,(
3.71/0.90	  (mforall_prop = (^[X3 : ($i > $o) > $i > $o, X2 : $i] : (! [X5 : $i > $o] : (X3 @ X5 @ X2))))),
3.71/0.90	  file('/export/starexec/sandbox/tmp/tmp.RNn540Kbzg/E---3.1_28565.p',mforall_prop)).
3.71/0.90	thf(f156,plain,(
3.71/0.90	  ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ (mbox @ a @ Y0))))) = $true)),
3.71/0.90	  inference(cnf_transformation,[status(thm)],[f82])).
3.71/0.90	thf(f82,plain,(
3.71/0.90	  ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ (mbox @ a @ Y0))))) = $true)),
3.71/0.90	  inference(fool_elimination,[status(thm)],[f81])).
3.71/0.90	thf(f81,plain,(
3.71/0.90	  (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mbox @ fool @ X0) @ (mbox @ a @ X0)))))),
3.71/0.90	  inference(rectify,[status(thm)],[f44])).
3.71/0.90	thf(f44,axiom,(
3.71/0.90	  (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mbox @ fool @ X3) @ (mbox @ a @ X3)))))),
3.71/0.90	  file('/export/starexec/sandbox/tmp/tmp.RNn540Kbzg/E---3.1_28565.p',i_axiom_for_fool_a)).
3.71/0.90	thf(f274,plain,(
3.71/0.90	  ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (((X2 @ (sK5 @ X1 @ X2)) = $false) | ((X2 @ X3) = $true) | ((a @ X1 @ X3) = $false)) )),
3.71/0.90	  inference(not_proxy_clausification,[status(thm)],[f273])).
3.71/0.90	thf(f273,plain,(
3.71/0.90	  ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (((X2 @ (sK5 @ X1 @ X2)) = $false) | ((~ (a @ X1 @ X3)) = $true) | ((X2 @ X3) = $true)) )),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f272])).
3.71/0.90	thf(f272,plain,(
3.71/0.90	  ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : ((((~ (a @ X1 @ X3)) | (X2 @ X3)) = $true) | ((X2 @ (sK5 @ X1 @ X2)) = $false)) )),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f271])).
3.71/0.90	thf(f271,plain,(
3.71/0.90	  ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0))) @ X3) = $true) | ((X2 @ (sK5 @ X1 @ X2)) = $false)) )),
3.71/0.90	  inference(pi_clausification,[status(thm)],[f268])).
3.71/0.90	thf(f268,plain,(
3.71/0.90	  ( ! [X2 : $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0)))) = $true) | ((X2 @ (sK5 @ X1 @ X2)) = $false)) )),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f267])).
3.71/0.90	thf(f365,plain,(
3.71/0.90	  spl0_7 | spl0_8),
3.71/0.90	  inference(avatar_split_clause,[status(thm)],[f316,f362,f328])).
3.71/0.90	thf(f316,plain,(
3.71/0.90	  ( ! [X2 : $i,X1 : $i] : (($false = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))))) | ($false = (fool @ X1 @ X2))) )),
3.71/0.90	  inference(not_proxy_clausification,[status(thm)],[f315])).
3.71/0.90	thf(f315,plain,(
3.71/0.90	  ( ! [X2 : $i,X1 : $i] : (($false = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))))) | ((~ (fool @ X1 @ X2)) = $true)) )),
3.71/0.90	  inference(not_proxy_clausification,[status(thm)],[f314])).
3.71/0.90	thf(f314,plain,(
3.71/0.90	  ( ! [X2 : $i,X1 : $i] : (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))))) = $true) | ((~ (fool @ X1 @ X2)) = $true)) )),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f312])).
3.71/0.90	thf(f312,plain,(
3.71/0.90	  ( ! [X2 : $i,X1 : $i] : ((((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))))) & (c @ spain @ france)) = $true) | ((~ (fool @ X1 @ X2)) = $true)) )),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f311])).
3.71/0.90	thf(f311,plain,(
3.71/0.90	  ( ! [X2 : $i,X1 : $i] : ((((~ (fool @ X1 @ X2)) | ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))))) & (c @ spain @ france))) = $true)) )),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f310])).
3.71/0.90	thf(f310,plain,(
3.71/0.90	  ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) & (c @ spain @ france)))) @ X2) = $true)) )),
3.71/0.90	  inference(pi_clausification,[status(thm)],[f284])).
3.71/0.90	thf(f284,plain,(
3.71/0.90	  ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) & (c @ spain @ france))))) = $true)) )),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f283])).
3.71/0.90	thf(f283,plain,(
3.71/0.90	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ Y0 @ Y1)) | ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))))) & (c @ spain @ france)))))) @ X1) = $true)) )),
3.71/0.90	  inference(pi_clausification,[status(thm)],[f210])).
3.71/0.90	thf(f210,plain,(
3.71/0.90	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ Y0 @ Y1)) | ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))))) & (c @ spain @ france))))))) = $true)),
3.71/0.90	  inference(beta_eta_normalization,[status(thm)],[f207])).
3.71/0.90	thf(f207,plain,(
3.71/0.90	  (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ fool @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((~ ((^[Y3 : reg]: ((^[Y4 : reg]: (?? @ reg @ (^[Y5 : reg]: (((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4) & ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y3))))))) @ Y1 @ Y2)) & (c @ Y1 @ Y2))))) @ spain @ france)))) = $true)),
3.71/0.90	  inference(definition_unfolding,[status(thm)],[f157,f178,f175,f200])).
3.71/0.90	thf(f157,plain,(
3.71/0.90	  ((mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france)))) = $true)),
3.71/0.90	  inference(cnf_transformation,[status(thm)],[f100])).
3.71/0.90	thf(f100,plain,(
3.71/0.90	  ((mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france)))) = $true)),
3.71/0.90	  inference(fool_elimination,[status(thm)],[f99])).
3.71/0.90	thf(f99,plain,(
3.71/0.90	  (mvalid @ (mbox @ fool @ (^[X0 : $i] : (ec @ spain @ france))))),
3.71/0.90	  inference(rectify,[status(thm)],[f43])).
3.71/0.90	thf(f43,axiom,(
3.71/0.90	  (mvalid @ (mbox @ fool @ (^[X0 : $i] : (ec @ spain @ france))))),
3.71/0.90	  file('/export/starexec/sandbox/tmp/tmp.RNn540Kbzg/E---3.1_28565.p',ax2)).
3.71/0.90	thf(f330,plain,(
3.71/0.90	  spl0_6 | spl0_7),
3.71/0.90	  inference(avatar_split_clause,[status(thm)],[f317,f328,f324])).
3.71/0.90	thf(f317,plain,(
3.71/0.90	  ( ! [X2 : $i,X1 : $i] : (((c @ spain @ france) = $true) | ($false = (fool @ X1 @ X2))) )),
3.71/0.90	  inference(not_proxy_clausification,[status(thm)],[f313])).
3.71/0.90	thf(f313,plain,(
3.71/0.90	  ( ! [X2 : $i,X1 : $i] : (((c @ spain @ france) = $true) | ((~ (fool @ X1 @ X2)) = $true)) )),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f312])).
3.71/0.90	thf(f233,plain,(
3.71/0.90	  spl0_1 | spl0_2),
3.71/0.90	  inference(avatar_split_clause,[status(thm)],[f223,f230,f226])).
3.71/0.90	thf(f223,plain,(
3.71/0.90	  ((c @ catalunya @ paris) = $true) | ((c @ spain @ paris) = $true)),
3.71/0.90	  inference(not_proxy_clausification,[status(thm)],[f222])).
3.71/0.90	thf(f222,plain,(
3.71/0.90	  ((c @ catalunya @ paris) = $true) | ($false = (~ (c @ spain @ paris)))),
3.71/0.90	  inference(not_proxy_clausification,[status(thm)],[f221])).
3.71/0.90	thf(f221,plain,(
3.71/0.90	  ((~ (c @ catalunya @ paris)) = $false) | ($false = (~ (c @ spain @ paris)))),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f219])).
3.71/0.90	thf(f219,plain,(
3.71/0.90	  ($false = ((~ (c @ spain @ paris)) & (~ (c @ catalunya @ paris))))),
3.71/0.90	  inference(binary_proxy_clausification,[status(thm)],[f218])).
3.71/0.90	% SZS output end Proof for E---3.1_28565
3.71/0.90	% (28768)------------------------------
3.71/0.90	% (28768)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
3.71/0.90	% (28768)Termination reason: Refutation
3.71/0.90	
3.71/0.90	% (28768)Memory used [KB]: 6396
3.71/0.90	% (28768)Time elapsed: 0.104 s
3.71/0.90	% (28768)Instructions burned: 178 (million)
3.71/0.90	% (28768)------------------------------
3.71/0.90	% (28768)------------------------------
3.71/0.90	% (28707)Success in time 0.569 s
3.71/0.90	EOF