0.00/0.03	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.03	% Command    : run_vampire %s %d THM
0.12/0.37	% Computer   : n014.cluster.edu
0.12/0.37	% Model      : x86_64 x86_64
0.12/0.37	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.37	% Memory     : 8046.5625MB
0.12/0.37	% OS         : Linux 6.8.0-71-generic
0.12/0.37	% CPULimit   : 1440
0.12/0.37	% WCLimit    : 180
0.12/0.37	% DateTime   : Mon Jul 27 12:12:24 UTC 2026
0.12/0.38	% CPUTime    : 
0.12/0.41	This is a THF_ problem
0.12/0.42	Running higher-order theorem proving
0.12/0.45	Running /export/starexec/sandbox2/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/sandbox2/tmp/tmp.Vw5JLscukc/E---3.1_3627128.p -m 16384 -t 180
0.24/0.52	% (3627173)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_3627128 for (1799ds/4Mi)
0.24/0.52	% (3627173)Instruction limit reached!
0.24/0.52	% (3627173)------------------------------
0.24/0.52	% (3627173)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.24/0.52	% (3627173)Termination reason: Unknown
0.24/0.52	% (3627173)Termination phase: shuffling
0.24/0.52	
0.24/0.52	% (3627173)Memory used [KB]: 1151
0.24/0.52	% (3627173)Time elapsed: 0.005 s
0.24/0.52	% (3627173)Instructions burned: 5 (million)
0.24/0.52	% (3627173)------------------------------
0.24/0.52	% (3627173)------------------------------
0.24/0.52	% (3627172)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_3627128 for (1799ds/183Mi)
0.24/0.53	% (3627175)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_3627128 for (1799ds/2Mi)
0.24/0.53	% (3627175)Instruction limit reached!
0.24/0.53	% (3627175)------------------------------
0.24/0.53	% (3627175)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.24/0.53	% (3627175)Termination reason: Unknown
0.24/0.53	% (3627175)Termination phase: shuffling
0.24/0.53	
0.24/0.53	% (3627175)Memory used [KB]: 1151
0.24/0.53	% (3627175)Time elapsed: 0.005 s
0.24/0.53	% (3627175)Instructions burned: 2 (million)
0.24/0.53	% (3627175)------------------------------
0.24/0.53	% (3627175)------------------------------
0.24/0.53	% (3627178)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_3627128 for (1799ds/18Mi)
0.24/0.53	% (3627174)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_3627128 for (1799ds/27Mi)
0.24/0.53	% (3627177)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_3627128 for (1799ds/275Mi)
0.24/0.53	% (3627176)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_3627128 for (1799ds/2Mi)
0.24/0.54	% (3627176)Instruction limit reached!
0.24/0.54	% (3627176)------------------------------
0.24/0.54	% (3627176)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.24/0.54	% (3627176)Termination reason: Unknown
0.24/0.54	% (3627176)Termination phase: shuffling
0.24/0.54	
0.24/0.54	% (3627176)Memory used [KB]: 1151
0.24/0.54	% (3627176)Time elapsed: 0.005 s
0.24/0.54	% (3627176)Instructions burned: 2 (million)
0.24/0.54	% (3627176)------------------------------
0.24/0.54	% (3627176)------------------------------
0.24/0.54	% (3627179)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_3627128 for (1799ds/3Mi)
0.24/0.54	% (3627179)Instruction limit reached!
0.24/0.54	% (3627179)------------------------------
0.24/0.54	% (3627179)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.24/0.54	% (3627179)Termination reason: Unknown
0.24/0.54	% (3627179)Termination phase: shuffling
0.24/0.54	
0.24/0.54	% (3627179)Memory used [KB]: 1151
0.24/0.54	% (3627179)Time elapsed: 0.004 s
0.24/0.54	% (3627179)Instructions burned: 3 (million)
0.24/0.54	% (3627179)------------------------------
0.24/0.54	% (3627179)------------------------------
0.24/0.55	% (3627178)Instruction limit reached!
0.24/0.55	% (3627178)------------------------------
0.24/0.55	% (3627178)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.24/0.55	% (3627178)Termination reason: Unknown
0.24/0.55	% (3627178)Termination phase: Property scanning
0.24/0.55	
0.24/0.55	% (3627178)Memory used [KB]: 1535
0.24/0.55	% (3627178)Time elapsed: 0.020 s
0.24/0.55	% (3627178)Instructions burned: 19 (million)
0.24/0.55	% (3627178)------------------------------
0.24/0.55	% (3627178)------------------------------
0.24/0.55	% (3627174)Instruction limit reached!
0.24/0.55	% (3627174)------------------------------
0.24/0.55	% (3627174)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.24/0.55	% (3627174)Termination reason: Unknown
0.24/0.55	% (3627174)Termination phase: Preprocessing 3
0.24/0.55	
0.24/0.55	% (3627174)Memory used [KB]: 1535
0.24/0.55	% (3627174)Time elapsed: 0.027 s
0.24/0.55	% (3627174)Instructions burned: 27 (million)
0.24/0.55	% (3627174)------------------------------
0.24/0.55	% (3627174)------------------------------
0.24/0.56	% (3627177)Refutation not found, incomplete strategy
0.24/0.56	% (3627177)------------------------------
0.24/0.56	% (3627177)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.24/0.56	% (3627177)Termination reason: Refutation not found, incomplete strategy
0.24/0.56	
0.24/0.56	
0.24/0.56	% (3627177)Memory used [KB]: 6012
0.24/0.56	% (3627177)Time elapsed: 0.056 s
0.24/0.56	% (3627177)Instructions burned: 29 (million)
0.24/0.56	% (3627177)------------------------------
0.24/0.56	% (3627177)------------------------------
0.24/0.56	% (3627180)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_3627128 for (1799ds/37Mi)
0.24/0.56	% (3627182)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_3627128 for (1799ds/3Mi)
0.24/0.56	% (3627182)Instruction limit reached!
0.24/0.56	% (3627182)------------------------------
0.24/0.56	% (3627182)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.24/0.56	% (3627182)Termination reason: Unknown
0.24/0.56	% (3627182)Termination phase: shuffling
0.24/0.56	
0.24/0.56	% (3627182)Memory used [KB]: 1151
0.24/0.56	% (3627182)Time elapsed: 0.004 s
0.24/0.56	% (3627182)Instructions burned: 3 (million)
0.24/0.56	% (3627182)------------------------------
0.24/0.56	% (3627182)------------------------------
0.61/0.57	% (3627181)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_3627128 for (1799ds/15Mi)
0.61/0.58	% (3627183)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_3627128 for (1799ds/1041Mi)
0.61/0.58	% (3627181)Instruction limit reached!
0.61/0.58	% (3627181)------------------------------
0.61/0.58	% (3627181)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.61/0.58	% (3627181)Termination reason: Unknown
0.61/0.58	% (3627181)Termination phase: shuffling
0.61/0.58	
0.61/0.58	% (3627181)Memory used [KB]: 1407
0.61/0.58	% (3627181)Time elapsed: 0.017 s
0.61/0.58	% (3627181)Instructions burned: 15 (million)
0.61/0.58	% (3627181)------------------------------
0.61/0.58	% (3627181)------------------------------
0.61/0.59	% (3627186)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_3627128 for (1799ds/3Mi)
0.61/0.59	% (3627185)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_3627128 for (1799ds/16Mi)
0.61/0.59	% (3627184)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_3627128 for (1799ds/7Mi)
0.61/0.59	% (3627186)Instruction limit reached!
0.61/0.59	% (3627186)------------------------------
0.61/0.59	% (3627186)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.61/0.59	% (3627186)Termination reason: Unknown
0.61/0.59	% (3627186)Termination phase: shuffling
0.61/0.59	
0.61/0.59	% (3627186)Memory used [KB]: 1151
0.61/0.59	% (3627186)Time elapsed: 0.004 s
0.61/0.59	% (3627186)Instructions burned: 3 (million)
0.61/0.59	% (3627186)------------------------------
0.61/0.59	% (3627186)------------------------------
0.61/0.59	% (3627180)Instruction limit reached!
0.61/0.59	% (3627180)------------------------------
0.61/0.59	% (3627180)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.61/0.59	% (3627180)Termination reason: Unknown
0.61/0.59	% (3627180)Termination phase: Saturation
0.61/0.59	
0.61/0.59	% (3627180)Memory used [KB]: 6012
0.61/0.59	% (3627180)Time elapsed: 0.035 s
0.61/0.59	% (3627180)Instructions burned: 37 (million)
0.61/0.59	% (3627180)------------------------------
0.61/0.59	% (3627180)------------------------------
0.61/0.59	% (3627184)Instruction limit reached!
0.61/0.59	% (3627184)------------------------------
0.61/0.59	% (3627184)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.61/0.59	% (3627184)Termination reason: Unknown
0.61/0.59	% (3627184)Termination phase: shuffling
0.61/0.59	
0.61/0.59	% (3627184)Memory used [KB]: 1279
0.61/0.60	% (3627184)Time elapsed: 0.009 s
0.61/0.60	% (3627184)Instructions burned: 7 (million)
0.61/0.60	% (3627184)------------------------------
0.61/0.60	% (3627184)------------------------------
0.61/0.60	% (3627185)Instruction limit reached!
0.61/0.60	% (3627185)------------------------------
0.61/0.60	% (3627185)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.61/0.60	% (3627185)Termination reason: Unknown
0.61/0.60	% (3627185)Termination phase: shuffling
0.61/0.60	
0.61/0.60	% (3627185)Memory used [KB]: 1407
0.61/0.60	% (3627185)Time elapsed: 0.016 s
0.61/0.60	% (3627185)Instructions burned: 16 (million)
0.61/0.60	% (3627185)------------------------------
0.61/0.60	% (3627185)------------------------------
0.61/0.61	% (3627188)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_3627128 for (1798ds/7Mi)
0.61/0.61	% (3627188)Instruction limit reached!
0.61/0.61	% (3627188)------------------------------
0.61/0.61	% (3627188)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.61/0.61	% (3627188)Termination reason: Unknown
0.61/0.61	% (3627188)Termination phase: shuffling
0.61/0.61	
0.61/0.61	% (3627188)Memory used [KB]: 1279
0.61/0.61	% (3627188)Time elapsed: 0.006 s
0.61/0.61	% (3627188)Instructions burned: 8 (million)
0.61/0.61	% (3627188)------------------------------
0.61/0.61	% (3627188)------------------------------
0.61/0.61	% (3627190)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_3627128 for (1798ds/4Mi)
0.61/0.62	% (3627190)Instruction limit reached!
0.61/0.62	% (3627190)------------------------------
0.61/0.62	% (3627190)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.61/0.62	% (3627190)Termination reason: Unknown
0.61/0.62	% (3627190)Termination phase: shuffling
0.61/0.62	
0.61/0.62	% (3627190)Memory used [KB]: 1151
0.61/0.62	% (3627190)Time elapsed: 0.004 s
0.61/0.62	% (3627190)Instructions burned: 4 (million)
0.61/0.62	% (3627190)------------------------------
0.61/0.62	% (3627190)------------------------------
0.61/0.62	% (3627187)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_3627128 for (1798ds/3Mi)
0.61/0.62	% (3627187)Instruction limit reached!
0.61/0.62	% (3627187)------------------------------
0.61/0.62	% (3627187)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.61/0.62	% (3627187)Termination reason: Unknown
0.61/0.62	% (3627187)Termination phase: shuffling
0.61/0.62	
0.61/0.62	% (3627187)Memory used [KB]: 1151
0.61/0.62	% (3627187)Time elapsed: 0.005 s
0.61/0.62	% (3627187)Instructions burned: 3 (million)
0.61/0.62	% (3627187)------------------------------
0.61/0.62	% (3627187)------------------------------
0.61/0.62	% (3627189)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_3627128 for (1798ds/3Mi)
0.61/0.63	% (3627189)Instruction limit reached!
0.61/0.63	% (3627189)------------------------------
0.61/0.63	% (3627189)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.61/0.63	% (3627189)Termination reason: Unknown
0.61/0.63	% (3627189)Termination phase: shuffling
0.61/0.63	
0.61/0.63	% (3627189)Memory used [KB]: 1151
0.61/0.63	% (3627189)Time elapsed: 0.006 s
0.61/0.63	% (3627189)Instructions burned: 3 (million)
0.61/0.63	% (3627189)------------------------------
0.61/0.63	% (3627189)------------------------------
0.61/0.63	% (3627192)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_3627128 for (1798ds/710Mi)
0.61/0.63	% (3627191)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_3627128 for (1798ds/18Mi)
0.61/0.64	% (3627194)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_3627128 for (1798ds/902Mi)
0.98/0.64	% (3627191)Instruction limit reached!
0.98/0.64	% (3627191)------------------------------
0.98/0.64	% (3627191)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.98/0.64	% (3627191)Termination reason: Unknown
0.98/0.64	% (3627191)Termination phase: Property scanning
0.98/0.64	
0.98/0.64	% (3627191)Memory used [KB]: 1407
0.98/0.64	% (3627191)Time elapsed: 0.017 s
0.98/0.64	% (3627191)Instructions burned: 18 (million)
0.98/0.64	% (3627191)------------------------------
0.98/0.64	% (3627191)------------------------------
0.98/0.65	% (3627193)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_3627128 for (1798ds/6Mi)
0.98/0.65	% (3627193)Instruction limit reached!
0.98/0.65	% (3627193)------------------------------
0.98/0.65	% (3627193)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.98/0.65	% (3627193)Termination reason: Unknown
0.98/0.65	% (3627193)Termination phase: shuffling
0.98/0.65	
0.98/0.65	% (3627193)Memory used [KB]: 1279
0.98/0.65	% (3627193)Time elapsed: 0.009 s
0.98/0.65	% (3627193)Instructions burned: 6 (million)
0.98/0.65	% (3627193)------------------------------
0.98/0.65	% (3627193)------------------------------
0.98/0.66	% (3627195)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_3627128 for (1798ds/21Mi)
0.98/0.67	% (3627194)Refutation not found, incomplete strategy
0.98/0.67	% (3627194)------------------------------
0.98/0.67	% (3627194)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.98/0.67	% (3627194)Termination reason: Refutation not found, incomplete strategy
0.98/0.67	
0.98/0.67	
0.98/0.67	% (3627194)Memory used [KB]: 6012
0.98/0.67	% (3627194)Time elapsed: 0.029 s
0.98/0.67	% (3627194)Instructions burned: 48 (million)
0.98/0.67	% (3627194)------------------------------
0.98/0.67	% (3627194)------------------------------
0.98/0.68	% (3627196)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_3627128 for (1798ds/5Mi)
0.98/0.68	% (3627195)Instruction limit reached!
0.98/0.68	% (3627195)------------------------------
0.98/0.68	% (3627195)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.98/0.68	% (3627195)Termination reason: Unknown
0.98/0.68	% (3627195)Termination phase: Property scanning
0.98/0.68	
0.98/0.68	% (3627195)Memory used [KB]: 1535
0.98/0.68	% (3627195)Time elapsed: 0.023 s
0.98/0.68	% (3627195)Instructions burned: 21 (million)
0.98/0.68	% (3627195)------------------------------
0.98/0.68	% (3627195)------------------------------
0.98/0.68	% (3627172)Instruction limit reached!
0.98/0.68	% (3627172)------------------------------
0.98/0.68	% (3627172)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.98/0.68	% (3627172)Termination reason: Unknown
0.98/0.68	% (3627172)Termination phase: Saturation
0.98/0.68	
0.98/0.68	% (3627172)Memory used [KB]: 6652
0.98/0.68	% (3627172)Time elapsed: 0.166 s
0.98/0.68	% (3627172)Instructions burned: 183 (million)
0.98/0.68	% (3627172)------------------------------
0.98/0.68	% (3627172)------------------------------
0.98/0.68	% (3627196)Instruction limit reached!
0.98/0.68	% (3627196)------------------------------
0.98/0.68	% (3627196)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.98/0.68	% (3627196)Termination reason: Unknown
0.98/0.68	% (3627196)Termination phase: shuffling
0.98/0.68	
0.98/0.68	% (3627196)Memory used [KB]: 1151
0.98/0.68	% (3627196)Time elapsed: 0.008 s
0.98/0.68	% (3627196)Instructions burned: 6 (million)
0.98/0.68	% (3627196)------------------------------
0.98/0.68	% (3627196)------------------------------
0.98/0.68	% (3627197)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_3627128 for (1798ds/6Mi)
0.98/0.69	% (3627197)Instruction limit reached!
0.98/0.69	% (3627197)------------------------------
0.98/0.69	% (3627197)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.98/0.69	% (3627197)Termination reason: Unknown
0.98/0.69	% (3627197)Termination phase: shuffling
0.98/0.69	
0.98/0.69	% (3627197)Memory used [KB]: 1279
0.98/0.69	% (3627197)Time elapsed: 0.007 s
0.98/0.69	% (3627197)Instructions burned: 6 (million)
0.98/0.69	% (3627197)------------------------------
0.98/0.69	% (3627197)------------------------------
0.98/0.70	% (3627198)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_3627128 for (1798ds/377Mi)
1.28/0.71	% (3627199)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_3627128 for (1797ds/779Mi)
1.28/0.75	% (3627202)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_3627128 for (1797ds/17Mi)
1.28/0.75	% (3627201)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_3627128 for (1797ds/879Mi)
1.28/0.76	% (3627200)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_3627128 for (1797ds/19Mi)
1.28/0.76	% (3627202)Instruction limit reached!
1.28/0.76	% (3627202)------------------------------
1.28/0.76	% (3627202)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
1.28/0.76	% (3627202)Termination reason: Unknown
1.28/0.76	% (3627202)Termination phase: Property scanning
1.28/0.76	
1.28/0.76	% (3627202)Memory used [KB]: 1535
1.28/0.76	% (3627202)Time elapsed: 0.012 s
1.28/0.76	% (3627202)Instructions burned: 18 (million)
1.28/0.76	% (3627202)------------------------------
1.28/0.76	% (3627202)------------------------------
1.28/0.77	% (3627200)Instruction limit reached!
1.28/0.77	% (3627200)------------------------------
1.28/0.77	% (3627200)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
1.28/0.77	% (3627200)Termination reason: Unknown
1.28/0.77	% (3627200)Termination phase: Property scanning
1.28/0.77	
1.28/0.77	% (3627200)Memory used [KB]: 1407
1.28/0.77	% (3627200)Time elapsed: 0.021 s
1.28/0.77	% (3627200)Instructions burned: 19 (million)
1.28/0.77	% (3627200)------------------------------
1.28/0.77	% (3627200)------------------------------
1.28/0.80	% (3627204)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_3627128 for (1797ds/30Mi)
1.28/0.80	% (3627203)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_3627128 for (1797ds/3Mi)
1.28/0.80	% (3627203)Instruction limit reached!
1.28/0.80	% (3627203)------------------------------
1.28/0.80	% (3627203)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
1.28/0.80	% (3627203)Termination reason: Unknown
1.28/0.80	% (3627203)Termination phase: shuffling
1.28/0.80	
1.28/0.80	% (3627203)Memory used [KB]: 1151
1.28/0.80	% (3627203)Time elapsed: 0.005 s
1.28/0.80	% (3627203)Instructions burned: 3 (million)
1.28/0.80	% (3627203)------------------------------
1.28/0.80	% (3627203)------------------------------
1.35/0.82	% (3627204)Instruction limit reached!
1.35/0.82	% (3627204)------------------------------
1.35/0.82	% (3627204)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
1.35/0.82	% (3627204)Termination reason: Unknown
1.35/0.82	% (3627204)Termination phase: Property scanning
1.35/0.82	
1.35/0.82	% (3627204)Memory used [KB]: 1535
1.35/0.82	% (3627204)Time elapsed: 0.021 s
1.35/0.82	% (3627204)Instructions burned: 32 (million)
1.35/0.82	% (3627204)------------------------------
1.35/0.82	% (3627204)------------------------------
1.35/0.83	% (3627205)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_3627128 for (1796ds/127Mi)
1.35/0.84	% (3627206)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_3627128 for (1796ds/100Mi)
1.35/0.88	% (3627206)Instruction limit reached!
1.35/0.88	% (3627206)------------------------------
1.35/0.88	% (3627206)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
1.35/0.88	% (3627206)Termination reason: Unknown
1.35/0.88	% (3627206)Termination phase: Saturation
1.35/0.88	
1.35/0.88	% (3627206)Memory used [KB]: 6012
1.35/0.88	% (3627206)Time elapsed: 0.050 s
1.35/0.88	% (3627206)Instructions burned: 101 (million)
1.35/0.88	% (3627206)------------------------------
1.35/0.88	% (3627206)------------------------------
1.49/0.90	% (3627207)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_3627128 for (1795ds/3Mi)
1.49/0.90	% (3627207)Instruction limit reached!
1.49/0.90	% (3627207)------------------------------
1.49/0.90	% (3627207)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
1.49/0.90	% (3627207)Termination reason: Unknown
1.49/0.90	% (3627207)Termination phase: shuffling
1.49/0.90	
1.49/0.90	% (3627207)Memory used [KB]: 1151
1.49/0.90	% (3627207)Time elapsed: 0.004 s
1.49/0.90	% (3627207)Instructions burned: 3 (million)
1.49/0.90	% (3627207)------------------------------
1.49/0.90	% (3627207)------------------------------
1.49/0.92	% (3627208)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_3627128 for (1795ds/20Mi)
1.49/0.93	% (3627208)Instruction limit reached!
1.49/0.93	% (3627208)------------------------------
1.49/0.93	% (3627208)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
1.49/0.93	% (3627208)Termination reason: Unknown
1.49/0.93	% (3627208)Termination phase: Property scanning
1.49/0.93	
1.49/0.93	% (3627208)Memory used [KB]: 1535
1.49/0.93	% (3627208)Time elapsed: 0.013 s
1.49/0.94	% (3627208)Instructions burned: 21 (million)
1.49/0.94	% (3627208)------------------------------
1.49/0.94	% (3627208)------------------------------
1.49/0.94	% (3627205)Instruction limit reached!
1.49/0.94	% (3627205)------------------------------
1.49/0.94	% (3627205)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
1.49/0.94	% (3627205)Termination reason: Unknown
1.49/0.94	% (3627205)Termination phase: Saturation
1.49/0.94	
1.49/0.94	% (3627205)Memory used [KB]: 6396
1.49/0.94	% (3627205)Time elapsed: 0.142 s
1.49/0.94	% (3627205)Instructions burned: 127 (million)
1.49/0.94	% (3627205)------------------------------
1.49/0.94	% (3627205)------------------------------
1.49/0.96	% (3627210)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_3627128 for (1795ds/107Mi)
1.49/0.97	% (3627209)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_3627128 for (1795ds/86Mi)
1.49/0.98	% (3627192)Instruction limit reached!
1.49/0.98	% (3627192)------------------------------
1.49/0.98	% (3627192)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
1.49/0.98	% (3627192)Termination reason: Unknown
1.49/0.98	% (3627192)Termination phase: Saturation
1.49/0.98	
1.49/0.98	% (3627192)Memory used [KB]: 8955
1.49/0.98	% (3627192)Time elapsed: 0.353 s
1.49/0.98	% (3627192)Instructions burned: 711 (million)
1.49/0.98	% (3627192)------------------------------
1.49/0.98	% (3627192)------------------------------
1.49/1.00	% (3627211)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_3627128 for (1794ds/39Mi)
1.49/1.02	% (3627211)Instruction limit reached!
1.49/1.02	% (3627211)------------------------------
1.49/1.02	% (3627211)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
1.49/1.02	% (3627211)Termination reason: Unknown
1.49/1.02	% (3627211)Termination phase: Saturation
1.49/1.02	
1.49/1.02	% (3627211)Memory used [KB]: 6012
1.49/1.02	% (3627211)Time elapsed: 0.020 s
1.49/1.02	% (3627211)Instructions burned: 39 (million)
1.49/1.02	% (3627211)------------------------------
1.49/1.02	% (3627211)------------------------------
3.67/1.04	% (3627210)Instruction limit reached!
3.67/1.04	% (3627210)------------------------------
3.67/1.04	% (3627210)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
3.67/1.04	% (3627210)Termination reason: Unknown
3.67/1.04	% (3627210)Termination phase: Saturation
3.67/1.04	
3.67/1.04	% (3627210)Memory used [KB]: 6396
3.67/1.04	% (3627210)Time elapsed: 0.075 s
3.67/1.04	% (3627210)Instructions burned: 107 (million)
3.67/1.04	% (3627210)------------------------------
3.67/1.04	% (3627210)------------------------------
3.67/1.04	% (3627212)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_3627128 for (1794ds/448Mi)
3.67/1.04	% (3627209)Instruction limit reached!
3.67/1.04	% (3627209)------------------------------
3.67/1.04	% (3627209)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
3.67/1.04	% (3627209)Termination reason: Unknown
3.67/1.04	% (3627209)Termination phase: Saturation
3.67/1.04	
3.67/1.04	% (3627209)Memory used [KB]: 6140
3.67/1.04	% (3627209)Time elapsed: 0.081 s
3.67/1.04	% (3627209)Instructions burned: 86 (million)
3.67/1.04	% (3627209)------------------------------
3.67/1.04	% (3627209)------------------------------
3.67/1.06	% (3627212)Refutation not found, incomplete strategy
3.67/1.06	% (3627212)------------------------------
3.67/1.06	% (3627212)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
3.67/1.06	% (3627212)Termination reason: Refutation not found, incomplete strategy
3.67/1.06	
3.67/1.06	
3.67/1.06	% (3627212)Memory used [KB]: 6012
3.67/1.06	% (3627212)Time elapsed: 0.019 s
3.67/1.06	% (3627212)Instructions burned: 36 (million)
3.67/1.06	% (3627212)------------------------------
3.67/1.06	% (3627212)------------------------------
3.67/1.07	% (3627198)Instruction limit reached!
3.67/1.07	% (3627198)------------------------------
3.67/1.07	% (3627198)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
3.67/1.07	% (3627198)Termination reason: Unknown
3.67/1.07	% (3627198)Termination phase: Saturation
3.67/1.07	
3.67/1.07	% (3627198)Memory used [KB]: 7419
3.67/1.07	% (3627198)Time elapsed: 0.395 s
3.67/1.07	% (3627198)Instructions burned: 378 (million)
3.67/1.07	% (3627198)------------------------------
3.67/1.07	% (3627198)------------------------------
3.67/1.07	% (3627213)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_3627128 for (1794ds/46Mi)
3.67/1.08	% (3627215)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_3627128 for (1794ds/507Mi)
3.67/1.08	% (3627214)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_3627128 for (1794ds/98Mi)
3.67/1.10	% (3627216)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_3627128 for (1794ds/149Mi)
3.67/1.11	% (3627213)Instruction limit reached!
3.67/1.11	% (3627213)------------------------------
3.67/1.11	% (3627213)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
3.67/1.11	% (3627213)Termination reason: Unknown
3.67/1.11	% (3627213)Termination phase: Saturation
3.67/1.11	
3.67/1.11	% (3627213)Memory used [KB]: 6012
3.67/1.11	% (3627213)Time elapsed: 0.045 s
3.67/1.11	% (3627213)Instructions burned: 46 (million)
3.67/1.11	% (3627213)------------------------------
3.67/1.11	% (3627213)------------------------------
3.67/1.13	% (3627214)Instruction limit reached!
3.67/1.13	% (3627214)------------------------------
3.67/1.13	% (3627214)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
3.67/1.13	% (3627214)Termination reason: Unknown
3.67/1.13	% (3627214)Termination phase: Saturation
3.67/1.13	
3.67/1.13	% (3627214)Memory used [KB]: 1535
3.67/1.13	% (3627214)Time elapsed: 0.050 s
3.67/1.13	% (3627214)Instructions burned: 99 (million)
3.67/1.13	% (3627214)------------------------------
3.67/1.13	% (3627214)------------------------------
4.22/1.15	% (3627217)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on E---3.1_3627128 for (1793ds/39Mi)
4.22/1.15	% (3627218)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_3627128 for (1793ds/6Mi)
4.22/1.15	% (3627218)Instruction limit reached!
4.22/1.15	% (3627218)------------------------------
4.22/1.15	% (3627218)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
4.22/1.15	% (3627218)Termination reason: Unknown
4.22/1.15	% (3627218)Termination phase: shuffling
4.22/1.15	
4.22/1.15	% (3627218)Memory used [KB]: 1279
4.22/1.15	% (3627218)Time elapsed: 0.006 s
4.22/1.15	% (3627218)Instructions burned: 7 (million)
4.22/1.15	% (3627218)------------------------------
4.22/1.15	% (3627218)------------------------------
4.22/1.18	% (3627217)Instruction limit reached!
4.22/1.18	% (3627217)------------------------------
4.22/1.18	% (3627217)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
4.22/1.18	% (3627217)Termination reason: Unknown
4.22/1.18	% (3627217)Termination phase: Function definition elimination
4.22/1.18	
4.22/1.18	% (3627217)Memory used [KB]: 1535
4.22/1.18	% (3627217)Time elapsed: 0.036 s
4.22/1.18	% (3627217)Instructions burned: 39 (million)
4.22/1.18	% (3627217)------------------------------
4.22/1.18	% (3627217)------------------------------
4.22/1.19	% (3627219)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_3627128 for (1793ds/1087Mi)
4.22/1.20	% (3627220)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on E---3.1_3627128 for (1793ds/47Mi)
4.51/1.22	% (3627220)Instruction limit reached!
4.51/1.22	% (3627220)------------------------------
4.51/1.22	% (3627220)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
4.51/1.22	% (3627220)Termination reason: Unknown
4.51/1.22	% (3627220)Termination phase: Saturation
4.51/1.22	
4.51/1.22	% (3627220)Memory used [KB]: 6012
4.51/1.22	% (3627220)Time elapsed: 0.051 s
4.51/1.22	% (3627220)Instructions burned: 48 (million)
4.51/1.22	% (3627220)------------------------------
4.51/1.22	% (3627220)------------------------------
4.51/1.24	% (3627216)Instruction limit reached!
4.51/1.24	% (3627216)------------------------------
4.51/1.24	% (3627216)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
4.51/1.24	% (3627216)Termination reason: Unknown
4.51/1.24	% (3627216)Termination phase: Saturation
4.51/1.24	
4.51/1.24	% (3627216)Memory used [KB]: 6396
4.51/1.24	% (3627216)Time elapsed: 0.166 s
4.51/1.24	% (3627216)Instructions burned: 149 (million)
4.51/1.24	% (3627216)------------------------------
4.51/1.24	% (3627216)------------------------------
4.51/1.24	% (3627221)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_3627128 for (1792ds/44Mi)
4.51/1.27	% (3627222)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_3627128 for (1792ds/432Mi)
4.51/1.27	% (3627221)Refutation not found, incomplete strategy
4.51/1.27	% (3627221)------------------------------
4.51/1.27	% (3627221)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
4.51/1.27	% (3627221)Termination reason: Refutation not found, incomplete strategy
4.51/1.27	
4.51/1.27	
4.51/1.27	% (3627221)Memory used [KB]: 1535
4.51/1.27	% (3627221)Time elapsed: 0.054 s
4.51/1.27	% (3627221)Instructions burned: 32 (million)
4.51/1.27	% (3627221)------------------------------
4.51/1.27	% (3627221)------------------------------
5.06/1.31	% (3627223)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_3627128 for (1791ds/62Mi)
5.06/1.34	% (3627215)Instruction limit reached!
5.06/1.34	% (3627215)------------------------------
5.06/1.34	% (3627215)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
5.06/1.34	% (3627215)Termination reason: Unknown
5.06/1.34	% (3627215)Termination phase: Saturation
5.06/1.34	
5.06/1.34	% (3627215)Memory used [KB]: 6908
5.06/1.34	% (3627215)Time elapsed: 0.258 s
5.06/1.34	% (3627215)Instructions burned: 507 (million)
5.06/1.34	% (3627215)------------------------------
5.06/1.34	% (3627215)------------------------------
5.06/1.36	% (3627224)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_3627128 for (1791ds/31Mi)
5.06/1.36	% (3627223)Instruction limit reached!
5.06/1.36	% (3627223)------------------------------
5.06/1.36	% (3627223)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
5.06/1.36	% (3627223)Termination reason: Unknown
5.06/1.36	% (3627223)Termination phase: Saturation
5.06/1.36	
5.06/1.36	% (3627223)Memory used [KB]: 6396
5.06/1.36	% (3627223)Time elapsed: 0.055 s
5.06/1.36	% (3627223)Instructions burned: 62 (million)
5.06/1.36	% (3627223)------------------------------
5.06/1.36	% (3627223)------------------------------
5.06/1.38	% (3627224)Instruction limit reached!
5.06/1.38	% (3627224)------------------------------
5.06/1.38	% (3627224)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
5.06/1.38	% (3627224)Termination reason: Unknown
5.06/1.38	% (3627224)Termination phase: Property scanning
5.06/1.38	
5.06/1.38	% (3627224)Memory used [KB]: 1535
5.06/1.38	% (3627224)Time elapsed: 0.020 s
5.06/1.38	% (3627224)Instructions burned: 32 (million)
5.06/1.38	% (3627224)------------------------------
5.06/1.38	% (3627224)------------------------------
5.06/1.39	% (3627225)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on E---3.1_3627128 for (1791ds/96Mi)
5.77/1.41	% (3627226)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_3627128 for (1790ds/453Mi)
5.77/1.42	% (3627183)Instruction limit reached!
5.77/1.42	% (3627183)------------------------------
5.77/1.42	% (3627183)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
5.77/1.42	% (3627183)Termination reason: Unknown
5.77/1.42	% (3627183)Termination phase: Saturation
5.77/1.42	
5.77/1.42	% (3627183)Memory used [KB]: 6780
5.77/1.42	% (3627183)Time elapsed: 0.843 s
5.77/1.42	% (3627183)Instructions burned: 1042 (million)
5.77/1.42	% (3627183)------------------------------
5.77/1.42	% (3627183)------------------------------
5.77/1.42	% (3627199)Instruction limit reached!
5.77/1.42	% (3627199)------------------------------
5.77/1.42	% (3627199)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
5.77/1.42	% (3627199)Termination reason: Unknown
5.77/1.42	% (3627199)Termination phase: Saturation
5.77/1.42	
5.77/1.42	% (3627199)Memory used [KB]: 7036
5.77/1.42	% (3627199)Time elapsed: 0.709 s
5.77/1.42	% (3627199)Instructions burned: 779 (million)
5.77/1.42	% (3627199)------------------------------
5.77/1.42	% (3627199)------------------------------
5.77/1.44	% (3627227)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_3627128 for (1790ds/71Mi)
5.77/1.44	% (3627225)Instruction limit reached!
5.77/1.44	% (3627225)------------------------------
5.77/1.44	% (3627225)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
5.77/1.44	% (3627225)Termination reason: Unknown
5.77/1.44	% (3627225)Termination phase: Saturation
5.77/1.44	
5.77/1.44	% (3627225)Memory used [KB]: 6396
5.77/1.44	% (3627225)Time elapsed: 0.054 s
5.77/1.44	% (3627225)Instructions burned: 96 (million)
5.77/1.44	% (3627225)------------------------------
5.77/1.44	% (3627225)------------------------------
5.77/1.46	% (3627229)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_3627128 for (1790ds/11Mi)
5.77/1.46	% (3627228)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_3627128 for (1790ds/83Mi)
5.77/1.46	% (3627229)Instruction limit reached!
5.77/1.46	% (3627229)------------------------------
5.77/1.46	% (3627229)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
5.77/1.46	% (3627229)Termination reason: Unknown
5.77/1.46	% (3627229)Termination phase: shuffling
5.77/1.46	
5.77/1.46	% (3627229)Memory used [KB]: 1279
5.77/1.46	% (3627229)Time elapsed: 0.007 s
5.77/1.46	% (3627229)Instructions burned: 11 (million)
5.77/1.46	% (3627229)------------------------------
5.77/1.46	% (3627229)------------------------------
5.77/1.48	% (3627227)Instruction limit reached!
5.77/1.48	% (3627227)------------------------------
5.77/1.48	% (3627227)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
5.77/1.48	% (3627227)Termination reason: Unknown
5.77/1.48	% (3627227)Termination phase: Saturation
5.77/1.48	
5.77/1.48	% (3627227)Memory used [KB]: 6140
5.77/1.48	% (3627227)Time elapsed: 0.043 s
5.77/1.48	% (3627227)Instructions burned: 72 (million)
5.77/1.48	% (3627227)------------------------------
5.77/1.48	% (3627227)------------------------------
5.77/1.48	% (3627230)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_3627128 for (1790ds/41Mi)
5.77/1.48	% (3627228)Refutation not found, incomplete strategy
5.77/1.48	% (3627228)------------------------------
5.77/1.48	% (3627228)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
5.77/1.48	% (3627228)Termination reason: Refutation not found, incomplete strategy
5.77/1.48	
5.77/1.48	
5.77/1.48	% (3627228)Memory used [KB]: 6012
5.77/1.48	% (3627228)Time elapsed: 0.030 s
5.77/1.48	% (3627228)Instructions burned: 31 (million)
5.77/1.48	% (3627228)------------------------------
5.77/1.48	% (3627228)------------------------------
6.14/1.50	% (3627231)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_3627128 for (1790ds/6Mi)
6.14/1.50	% (3627230)Instruction limit reached!
6.14/1.50	% (3627230)------------------------------
6.14/1.50	% (3627230)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
6.14/1.50	% (3627230)Termination reason: Unknown
6.14/1.50	% (3627230)Termination phase: Saturation
6.14/1.50	
6.14/1.50	% (3627230)Memory used [KB]: 6012
6.14/1.50	% (3627230)Time elapsed: 0.021 s
6.14/1.50	% (3627230)Instructions burned: 42 (million)
6.14/1.50	% (3627230)------------------------------
6.14/1.50	% (3627230)------------------------------
6.14/1.50	% (3627231)Instruction limit reached!
6.14/1.50	% (3627231)------------------------------
6.14/1.50	% (3627231)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
6.14/1.50	% (3627231)Termination reason: Unknown
6.14/1.50	% (3627231)Termination phase: shuffling
6.14/1.50	
6.14/1.50	% (3627231)Memory used [KB]: 1279
6.14/1.50	% (3627231)Time elapsed: 0.008 s
6.14/1.50	% (3627231)Instructions burned: 7 (million)
6.14/1.50	% (3627231)------------------------------
6.14/1.50	% (3627231)------------------------------
6.14/1.52	% (3627232)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on E---3.1_3627128 for (1789ds/150Mi)
6.14/1.53	% (3627234)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on E---3.1_3627128 for (1789ds/109Mi)
6.14/1.53	% (3627233)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_3627128 for (1789ds/343Mi)
6.14/1.56	% (3627233)Refutation not found, incomplete strategy
6.14/1.56	% (3627233)------------------------------
6.14/1.56	% (3627233)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
6.14/1.56	% (3627233)Termination reason: Refutation not found, incomplete strategy
6.14/1.56	
6.14/1.56	
6.14/1.56	% (3627233)Memory used [KB]: 6012
6.14/1.56	% (3627233)Time elapsed: 0.033 s
6.14/1.56	% (3627233)Instructions burned: 33 (million)
6.14/1.56	% (3627233)------------------------------
6.14/1.56	% (3627233)------------------------------
6.14/1.58	% (3627201)Instruction limit reached!
6.14/1.58	% (3627201)------------------------------
6.14/1.58	% (3627201)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
6.14/1.58	% (3627201)Termination reason: Unknown
6.14/1.58	% (3627201)Termination phase: Saturation
6.14/1.58	
6.14/1.58	% (3627201)Memory used [KB]: 9850
6.14/1.58	% (3627201)Time elapsed: 0.889 s
6.14/1.58	% (3627201)Instructions burned: 879 (million)
6.14/1.58	% (3627201)------------------------------
6.14/1.58	% (3627201)------------------------------
6.14/1.59	% (3627234)Instruction limit reached!
6.14/1.59	% (3627234)------------------------------
6.14/1.59	% (3627234)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
6.14/1.59	% (3627234)Termination reason: Unknown
6.14/1.59	% (3627234)Termination phase: Saturation
6.14/1.59	
6.14/1.59	% (3627234)Memory used [KB]: 6396
6.14/1.59	% (3627234)Time elapsed: 0.081 s
6.14/1.59	% (3627234)Instructions burned: 110 (million)
6.14/1.59	% (3627234)------------------------------
6.14/1.59	% (3627234)------------------------------
6.14/1.59	% (3627232)Refutation not found, incomplete strategy
6.14/1.59	% (3627232)------------------------------
6.14/1.59	% (3627232)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
6.14/1.59	% (3627232)Termination reason: Refutation not found, incomplete strategy
6.14/1.59	
6.14/1.59	
6.14/1.59	% (3627232)Memory used [KB]: 6140
6.14/1.59	% (3627232)Time elapsed: 0.079 s
6.14/1.59	% (3627232)Instructions burned: 87 (million)
6.14/1.59	% (3627232)------------------------------
6.14/1.59	% (3627232)------------------------------
6.14/1.60	% (3627235)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on E---3.1_3627128 for (1789ds/253Mi)
6.54/1.60	% (3627222)Instruction limit reached!
6.54/1.60	% (3627222)------------------------------
6.54/1.60	% (3627222)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
6.54/1.60	% (3627222)Termination reason: Unknown
6.54/1.60	% (3627222)Termination phase: Saturation
6.54/1.60	
6.54/1.60	% (3627222)Memory used [KB]: 2046
6.54/1.60	% (3627222)Time elapsed: 0.360 s
6.54/1.60	% (3627222)Instructions burned: 433 (million)
6.54/1.60	% (3627222)------------------------------
6.54/1.60	% (3627222)------------------------------
6.54/1.61	% (3627237)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on E---3.1_3627128 for (1788ds/614Mi)
6.54/1.61	% (3627238)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on E---3.1_3627128 for (1788ds/202Mi)
6.54/1.61	% (3627236)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on E---3.1_3627128 for (1789ds/140Mi)
6.54/1.62	% (3627235)Refutation not found, incomplete strategy
6.54/1.62	% (3627235)------------------------------
6.54/1.62	% (3627235)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
6.54/1.62	% (3627235)Termination reason: Refutation not found, incomplete strategy
6.54/1.62	
6.54/1.62	
6.54/1.62	% (3627235)Memory used [KB]: 6012
6.54/1.62	% (3627235)Time elapsed: 0.051 s
6.54/1.62	% (3627235)Instructions burned: 30 (million)
6.54/1.62	% (3627235)------------------------------
6.54/1.62	% (3627235)------------------------------
6.54/1.63	% (3627239)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on E---3.1_3627128 for (1788ds/339Mi)
6.54/1.63	% (3627238)Refutation not found, incomplete strategy
6.54/1.63	% (3627238)------------------------------
6.54/1.63	% (3627238)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
6.54/1.63	% (3627238)Termination reason: Refutation not found, incomplete strategy
6.54/1.63	
6.54/1.63	
6.54/1.63	% (3627238)Memory used [KB]: 6012
6.54/1.63	% (3627238)Time elapsed: 0.024 s
6.54/1.63	% (3627238)Instructions burned: 46 (million)
6.54/1.63	% (3627238)------------------------------
6.54/1.63	% (3627238)------------------------------
6.54/1.65	% (3627240)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on E---3.1_3627128 for (1788ds/283Mi)
6.54/1.65	% (3627241)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on E---3.1_3627128 for (1788ds/134Mi)
6.54/1.67	% (3627236)Refutation not found, incomplete strategy
6.54/1.67	% (3627236)------------------------------
6.54/1.67	% (3627236)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
6.54/1.67	% (3627236)Termination reason: Refutation not found, incomplete strategy
6.54/1.67	
6.54/1.67	
6.54/1.67	% (3627236)Memory used [KB]: 6140
6.54/1.67	% (3627236)Time elapsed: 0.085 s
6.54/1.67	% (3627236)Instructions burned: 67 (million)
6.54/1.67	% (3627236)------------------------------
6.54/1.67	% (3627236)------------------------------
6.54/1.68	% (3627239)Refutation not found, incomplete strategy
6.54/1.68	% (3627239)------------------------------
6.54/1.68	% (3627239)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
6.54/1.68	% (3627239)Termination reason: Refutation not found, incomplete strategy
6.54/1.68	
6.54/1.68	
6.54/1.68	% (3627239)Memory used [KB]: 6012
6.54/1.68	% (3627239)Time elapsed: 0.047 s
6.54/1.68	% (3627239)Instructions burned: 50 (million)
6.54/1.68	% (3627239)------------------------------
6.54/1.68	% (3627239)------------------------------
7.16/1.70	% (3627242)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on E---3.1_3627128 for (1787ds/298Mi)
7.16/1.71	% (3627243)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on E---3.1_3627128 for (1787ds/192Mi)
7.16/1.73	% (3627241)Instruction limit reached!
7.16/1.73	% (3627241)------------------------------
7.16/1.73	% (3627241)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
7.16/1.73	% (3627241)Termination reason: Unknown
7.16/1.73	% (3627241)Termination phase: Saturation
7.16/1.73	
7.16/1.73	% (3627241)Memory used [KB]: 6396
7.16/1.73	% (3627241)Time elapsed: 0.073 s
7.16/1.73	% (3627241)Instructions burned: 135 (million)
7.16/1.73	% (3627241)------------------------------
7.16/1.73	% (3627241)------------------------------
7.16/1.74	% (3627244)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on E---3.1_3627128 for (1787ds/258Mi)
7.25/1.81	% (3627226)Instruction limit reached!
7.25/1.81	% (3627226)------------------------------
7.25/1.81	% (3627226)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
7.25/1.81	% (3627226)Termination reason: Unknown
7.25/1.81	% (3627226)Termination phase: Saturation
7.25/1.81	
7.25/1.81	% (3627226)Memory used [KB]: 6524
7.25/1.81	% (3627226)Time elapsed: 0.400 s
7.25/1.81	% (3627226)Instructions burned: 453 (million)
7.25/1.81	% (3627226)------------------------------
7.25/1.81	% (3627226)------------------------------
7.25/1.83	% (3627245)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on E---3.1_3627128 for (1786ds/90Mi)
7.25/1.85	% (3627240)Instruction limit reached!
7.25/1.85	% (3627240)------------------------------
7.25/1.85	% (3627240)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
7.25/1.85	% (3627240)Termination reason: Unknown
7.25/1.85	% (3627240)Termination phase: Saturation
7.25/1.85	
7.25/1.85	% (3627240)Memory used [KB]: 6524
7.25/1.85	% (3627240)Time elapsed: 0.202 s
7.25/1.85	% (3627240)Instructions burned: 283 (million)
7.25/1.85	% (3627240)------------------------------
7.25/1.85	% (3627240)------------------------------
7.25/1.87	% (3627244)Instruction limit reached!
7.25/1.87	% (3627244)------------------------------
7.25/1.87	% (3627244)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
7.25/1.87	% (3627244)Termination reason: Unknown
7.25/1.87	% (3627244)Termination phase: Saturation
7.25/1.87	
7.25/1.87	% (3627244)Memory used [KB]: 6908
7.25/1.87	% (3627244)Time elapsed: 0.127 s
7.25/1.87	% (3627244)Instructions burned: 258 (million)
7.25/1.87	% (3627244)------------------------------
7.25/1.87	% (3627244)------------------------------
7.25/1.88	% (3627243)Instruction limit reached!
7.25/1.88	% (3627243)------------------------------
7.25/1.88	% (3627243)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
7.25/1.88	% (3627243)Termination reason: Unknown
7.25/1.88	% (3627243)Termination phase: Saturation
7.25/1.88	
7.25/1.88	% (3627243)Memory used [KB]: 6652
7.25/1.88	% (3627243)Time elapsed: 0.173 s
7.25/1.88	% (3627243)Instructions burned: 193 (million)
7.25/1.88	% (3627243)------------------------------
7.25/1.88	% (3627243)------------------------------
7.25/1.89	% (3627247)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on E---3.1_3627128 for (1786ds/458Mi)
7.25/1.89	% (3627246)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on E---3.1_3627128 for (1786ds/231Mi)
7.25/1.89	% (3627245)Instruction limit reached!
7.25/1.89	% (3627245)------------------------------
7.25/1.89	% (3627245)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
7.25/1.89	% (3627245)Termination reason: Unknown
7.25/1.89	% (3627245)Termination phase: Saturation
7.25/1.89	
7.25/1.89	% (3627245)Memory used [KB]: 6268
7.25/1.89	% (3627245)Time elapsed: 0.077 s
7.25/1.89	% (3627245)Instructions burned: 90 (million)
7.25/1.89	% (3627245)------------------------------
7.25/1.89	% (3627245)------------------------------
8.33/1.92	% (3627248)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_3627128 for (1785ds/31Mi)
8.33/1.92	% (3627242)Instruction limit reached!
8.33/1.92	% (3627242)------------------------------
8.33/1.92	% (3627242)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
8.33/1.92	% (3627242)Termination reason: Unknown
8.33/1.92	% (3627242)Termination phase: Saturation
8.33/1.92	
8.33/1.92	% (3627242)Memory used [KB]: 6396
8.33/1.92	% (3627242)Time elapsed: 0.221 s
8.33/1.92	% (3627242)Instructions burned: 298 (million)
8.33/1.92	% (3627242)------------------------------
8.33/1.92	% (3627242)------------------------------
8.33/1.93	% (3627249)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on E---3.1_3627128 for (1785ds/297Mi)
8.33/1.94	% (3627250)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on E---3.1_3627128 for (1785ds/987Mi)
8.33/1.94	% (3627248)Instruction limit reached!
8.33/1.94	% (3627248)------------------------------
8.33/1.94	% (3627248)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
8.33/1.94	% (3627248)Termination reason: Unknown
8.33/1.94	% (3627248)Termination phase: Property scanning
8.33/1.94	
8.33/1.94	% (3627248)Memory used [KB]: 1535
8.33/1.94	% (3627248)Time elapsed: 0.031 s
8.33/1.94	% (3627248)Instructions burned: 32 (million)
8.33/1.94	% (3627248)------------------------------
8.33/1.94	% (3627248)------------------------------
8.33/1.95	% (3627249)Refutation not found, incomplete strategy
8.33/1.95	% (3627249)------------------------------
8.33/1.95	% (3627249)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
8.33/1.95	% (3627249)Termination reason: Refutation not found, incomplete strategy
8.33/1.95	
8.33/1.95	
8.33/1.95	% (3627249)Memory used [KB]: 6012
8.33/1.95	% (3627249)Time elapsed: 0.033 s
8.33/1.95	% (3627249)Instructions burned: 36 (million)
8.33/1.95	% (3627249)------------------------------
8.33/1.95	% (3627249)------------------------------
8.33/1.98	% (3627251)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on E---3.1_3627128 for (1785ds/182Mi)
8.33/1.99	% (3627252)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on E---3.1_3627128 for (1785ds/182Mi)
8.33/2.03	% (3627219)First to succeed.
10.55/2.06	% (3627246)Instruction limit reached!
10.55/2.06	% (3627246)------------------------------
10.55/2.06	% (3627246)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
10.55/2.06	% (3627246)Termination reason: Unknown
10.55/2.06	% (3627246)Termination phase: Saturation
10.55/2.06	
10.55/2.06	% (3627246)Memory used [KB]: 6396
10.55/2.06	% (3627246)Time elapsed: 0.175 s
10.55/2.06	% (3627246)Instructions burned: 231 (million)
10.55/2.06	% (3627246)------------------------------
10.55/2.06	% (3627246)------------------------------
10.55/2.08	% (3627253)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on E---3.1_3627128 for (1784ds/154Mi)
10.55/2.09	% (3627219)Refutation found. Thanks to Tanya!
10.55/2.09	% SZS status Theorem for E---3.1_3627128
10.55/2.09	% SZS output start Proof for E---3.1_3627128
10.55/2.09	thf(type_def_6, type, d_unsorted: $tType).
10.55/2.09	thf(func_def_0, type, unsorted: $tType).
10.55/2.09	thf(func_def_1, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
10.55/2.09	thf(func_def_2, type, inv: ($i > $i > $o) > $i > $i > $o).
10.55/2.09	thf(func_def_3, type, idem: (($i > $i > $o) > $i > $i > $o) > $o).
10.55/2.09	thf(func_def_4, type, infl: (($i > $i > $o) > $i > $i > $o) > $o).
10.55/2.09	thf(func_def_5, type, mono: (($i > $i > $o) > $i > $i > $o) > $o).
10.55/2.09	thf(func_def_6, type, refl: ($i > $i > $o) > $o).
10.55/2.09	thf(func_def_7, type, irrefl: ($i > $i > $o) > $o).
10.55/2.09	thf(func_def_8, type, rc: ($i > $i > $o) > $i > $i > $o).
10.55/2.09	thf(func_def_9, type, symm: ($i > $i > $o) > $o).
10.55/2.09	thf(func_def_10, type, antisymm: ($i > $i > $o) > $o).
10.55/2.09	thf(func_def_11, type, asymm: ($i > $i > $o) > $o).
10.55/2.09	thf(func_def_12, type, sc: ($i > $i > $o) > $i > $i > $o).
10.55/2.09	thf(func_def_13, type, trans: ($i > $i > $o) > $o).
10.55/2.09	thf(func_def_14, type, tc: ($i > $i > $o) > $i > $i > $o).
10.55/2.09	thf(func_def_15, type, trc: ($i > $i > $o) > $i > $i > $o).
10.55/2.09	thf(func_def_16, type, trsc: ($i > $i > $o) > $i > $i > $o).
10.55/2.09	thf(func_def_17, type, po: ($i > $i > $o) > $o).
10.55/2.09	thf(func_def_18, type, so: ($i > $i > $o) > $o).
10.55/2.09	thf(func_def_19, type, total: ($i > $i > $o) > $o).
10.55/2.09	thf(func_def_20, type, term: ($i > $i > $o) > $o).
10.55/2.09	thf(func_def_21, type, ind: ($i > $i > $o) > $o).
10.55/2.09	thf(func_def_22, type, innf: ($i > $i > $o) > $i > $o).
10.55/2.09	thf(func_def_23, type, nfof: ($i > $i > $o) > $i > $i > $o).
10.55/2.09	thf(func_def_24, type, norm: ($i > $i > $o) > $o).
10.55/2.09	thf(func_def_25, type, join: ($i > $i > $o) > $i > $i > $o).
10.55/2.09	thf(func_def_26, type, lconfl: ($i > $i > $o) > $o).
10.55/2.09	thf(func_def_27, type, sconfl: ($i > $i > $o) > $o).
10.55/2.09	thf(func_def_28, type, confl: ($i > $i > $o) > $o).
10.55/2.09	thf(func_def_29, type, cr: ($i > $i > $o) > $o).
10.55/2.09	thf(func_def_30, type, d_unsorted: $tType).
10.55/2.09	thf(func_def_31, type, d2unsorted: d_unsorted > $i).
10.55/2.09	thf(func_def_32, type, d_unsorted_0: d_unsorted).
10.55/2.09	thf(func_def_52, type, sK0: $i > d_unsorted).
10.55/2.09	thf(func_def_54, type, ph2: !>[X0: $tType]:(X0)).
10.55/2.09	thf(func_def_55, type, sK3: $i > $i > $o).
10.55/2.09	thf(func_def_58, type, sK6: $i > $i > $o).
10.55/2.09	thf(func_def_59, type, sK7: $i > $i > $o).
10.55/2.09	thf(func_def_60, type, sK8: $i > $i > $o).
10.55/2.09	thf(func_def_61, type, sK9: $i > $i > $o).
10.55/2.09	thf(func_def_62, type, sK10: $i > $i > $o).
10.55/2.09	thf(func_def_63, type, sK11: $i > $i > $o).
10.55/2.09	thf(func_def_64, type, sK12: $i > $i > $o).
10.55/2.09	thf(func_def_65, type, sK13: $i > $i > $o).
10.55/2.09	thf(func_def_66, type, sK14: $i > $i > $o).
10.55/2.09	thf(func_def_67, type, sK15: $i > $i > $o).
10.55/2.09	thf(func_def_68, type, sK16: $i > $i > $o).
10.55/2.09	thf(func_def_69, type, sK17: $i > $i > $o).
10.55/2.09	thf(func_def_70, type, sK18: $i > $i > $o).
10.55/2.09	thf(func_def_71, type, sK19: $i > $i > $o).
10.55/2.09	thf(func_def_72, type, sK20: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_73, type, sK21: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_74, type, sK22: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_75, type, sK23: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_76, type, sK24: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_77, type, sK25: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_78, type, sK26: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_79, type, sK27: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_80, type, sK28: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_81, type, sK29: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_82, type, sK30: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_83, type, sK31: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_84, type, sK32: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_85, type, sK33: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_86, type, sK34: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_87, type, sK35: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_88, type, sK36: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_89, type, sK37: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_90, type, sK38: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_91, type, sK39: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_92, type, sK40: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_93, type, sK41: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_94, type, sK42: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_95, type, sK43: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_96, type, sK44: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_97, type, sK45: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_98, type, sK46: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_99, type, sK47: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_100, type, sK48: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_101, type, sK49: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_102, type, sK50: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_103, type, sK51: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_104, type, sK52: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_105, type, sK53: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_106, type, sK54: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_107, type, sK55: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_108, type, sK56: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_109, type, sK57: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_110, type, sK58: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_111, type, sK59: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_112, type, sK60: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_113, type, sK61: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_114, type, sK62: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_115, type, sK63: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_116, type, sK64: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_117, type, sK65: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_118, type, sK66: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_119, type, sK67: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_120, type, sK68: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_121, type, sK69: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_122, type, sK70: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_123, type, sK71: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_124, type, sK72: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_125, type, sK73: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_126, type, sK74: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_127, type, sK75: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_128, type, sK76: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_129, type, sK77: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_130, type, sK78: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_131, type, sK79: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_132, type, sK80: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_133, type, sK81: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_134, type, sK82: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_135, type, sK83: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_136, type, sK84: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_137, type, sK85: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_138, type, sK86: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_139, type, sK87: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_140, type, sK88: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_141, type, sK89: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_142, type, sK90: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_143, type, sK91: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_144, type, sK92: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_145, type, sK93: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_146, type, sK94: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_147, type, sK95: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_148, type, sK96: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_149, type, sK97: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_150, type, sK98: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_151, type, sK99: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_152, type, sK100: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_153, type, sK101: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_154, type, sK102: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_155, type, sK103: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_156, type, sK104: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_157, type, sK105: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_158, type, sK106: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_159, type, sK107: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_160, type, sK108: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_161, type, sK109: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_162, type, sK110: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_163, type, sK111: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_164, type, sK112: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_165, type, sK113: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_166, type, sK114: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_167, type, sK115: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_168, type, sK116: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_169, type, sK117: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_170, type, sK118: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_171, type, sK119: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_172, type, sK120: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_173, type, sK121: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_174, type, sK122: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_175, type, sK123: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_176, type, sK124: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_177, type, sK125: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_178, type, sK126: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_179, type, sK127: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_180, type, sK128: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_181, type, sK129: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_182, type, sK130: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_183, type, sK131: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_184, type, sK132: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_185, type, sK133: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_186, type, sK134: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_187, type, sK135: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_188, type, sK136: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_189, type, sK137: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_190, type, sK138: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_191, type, sK139: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_192, type, sK140: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_193, type, sK141: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_194, type, sK142: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_195, type, sK143: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_196, type, sK144: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_197, type, sK145: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_198, type, sK146: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_199, type, sK147: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_200, type, sK148: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_201, type, sK149: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_202, type, sK150: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_203, type, sK151: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_204, type, sK152: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_205, type, sK153: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_206, type, sK154: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_207, type, sK155: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_208, type, sK156: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_209, type, sK157: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_210, type, sK158: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_211, type, sK159: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_212, type, sK160: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_213, type, sK161: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_214, type, sK162: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_215, type, sK163: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_216, type, sK164: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_217, type, sK165: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_218, type, sK166: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_219, type, sK167: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_220, type, sK168: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_221, type, sK169: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_222, type, sK170: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_223, type, sK171: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_224, type, sK172: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_225, type, sK173: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_226, type, sK174: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_227, type, sK175: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_228, type, sK176: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_229, type, sK177: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_230, type, sK178: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_231, type, sK179: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_232, type, sK180: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_233, type, sK181: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_234, type, sK182: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_235, type, sK183: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_236, type, sK184: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_237, type, sK185: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_238, type, sK186: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_239, type, sK187: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_240, type, sK188: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_241, type, sK189: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_242, type, sK190: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_243, type, sK191: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_244, type, sK192: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_245, type, sK193: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_246, type, sK194: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_247, type, sK195: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_248, type, sK196: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_249, type, sK197: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_250, type, sK198: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_251, type, sK199: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_252, type, sK200: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_253, type, sK201: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_254, type, sK202: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_255, type, sK203: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_256, type, sK204: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_257, type, sK205: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_258, type, sK206: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_259, type, sK207: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_260, type, sK208: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_261, type, sK209: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_262, type, sK210: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_263, type, sK211: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_264, type, sK212: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_265, type, sK213: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_266, type, sK214: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_267, type, sK215: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_268, type, sK216: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_269, type, sK217: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_270, type, sK218: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_271, type, sK219: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_272, type, sK220: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_273, type, sK221: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_274, type, sK222: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_275, type, sK223: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_276, type, sK224: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_277, type, sK225: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_278, type, sK226: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_279, type, sK227: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_280, type, sK228: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_281, type, sK229: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_282, type, sK230: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_283, type, sK231: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_284, type, sK232: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_285, type, sK233: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_286, type, sK234: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_287, type, sK235: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_288, type, sK236: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_289, type, sK237: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_290, type, sK238: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_291, type, sK239: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_292, type, sK240: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_293, type, sK241: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_294, type, sK242: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_295, type, sK243: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_296, type, sK244: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_297, type, sK245: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_298, type, sK246: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_299, type, sK247: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_300, type, sK248: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_301, type, sK249: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_302, type, sK250: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_303, type, sK251: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_304, type, sK252: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_305, type, sK253: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_306, type, sK254: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_307, type, sK255: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_308, type, sK256: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_309, type, sK257: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_310, type, sK258: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_311, type, sK259: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_312, type, sK260: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_313, type, sK261: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_314, type, sK262: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_315, type, sK263: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_316, type, sK264: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_317, type, sK265: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_318, type, sK266: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_319, type, sK267: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_320, type, sK268: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_321, type, sK269: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_322, type, sK270: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_323, type, sK271: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_324, type, sK272: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_325, type, sK273: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_326, type, sK274: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_327, type, sK275: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_328, type, sK276: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_329, type, sK277: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_330, type, sK278: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_331, type, sK279: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_332, type, sK280: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_333, type, sK281: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_334, type, sK282: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_335, type, sK283: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_336, type, sK284: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_337, type, sK285: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_338, type, sK286: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_339, type, sK287: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_340, type, sK288: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_341, type, sK289: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_342, type, sK290: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_343, type, sK291: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_344, type, sK292: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_345, type, sK293: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_346, type, sK294: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_347, type, sK295: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_348, type, sK296: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_349, type, sK297: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_350, type, sK298: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_351, type, sK299: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_352, type, sK300: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_353, type, sK301: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_354, type, sK302: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_355, type, sK303: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_356, type, sK304: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_357, type, sK305: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_358, type, sK306: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_359, type, sK307: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_360, type, sK308: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_361, type, sK309: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_362, type, sK310: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_363, type, sK311: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_364, type, sK312: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_365, type, sK313: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_366, type, sK314: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_367, type, sK315: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_368, type, sK316: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_369, type, sK317: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_370, type, sK318: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_371, type, sK319: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_372, type, sK320: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_373, type, sK321: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_374, type, sK322: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_375, type, sK323: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_376, type, sK324: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_377, type, sK325: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_378, type, sK326: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_379, type, sK327: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_380, type, sK328: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_381, type, sK329: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_382, type, sK330: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_383, type, sK331: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_384, type, sK332: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_385, type, sK333: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_386, type, sK334: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_387, type, sK335: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_388, type, sK336: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_389, type, sK337: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_390, type, sK338: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_391, type, sK339: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_392, type, sK340: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_393, type, sK341: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_394, type, sK342: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_395, type, sK343: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_396, type, sK344: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_397, type, sK345: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_398, type, sK346: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_399, type, sK347: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_400, type, sK348: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_401, type, sK349: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_402, type, sK350: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_403, type, sK351: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_404, type, sK352: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_405, type, sK353: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_406, type, sK354: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_407, type, sK355: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_408, type, sK356: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_409, type, sK357: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_410, type, sK358: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_411, type, sK359: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_412, type, sK360: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_413, type, sK361: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_414, type, sK362: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_415, type, sK363: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_416, type, sK364: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_417, type, sK365: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_418, type, sK366: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_419, type, sK367: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_420, type, sK368: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_421, type, sK369: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_422, type, sK370: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_423, type, sK371: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_424, type, sK372: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_425, type, sK373: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_426, type, sK374: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_427, type, sK375: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_428, type, sK376: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_429, type, sK377: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_430, type, sK378: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_431, type, sK379: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_432, type, sK380: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_433, type, sK381: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_434, type, sK382: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_435, type, sK383: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_436, type, sK384: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_437, type, sK385: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_438, type, sK386: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_439, type, sK387: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_440, type, sK388: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_441, type, sK389: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_442, type, sK390: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_443, type, sK391: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_444, type, sK392: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_445, type, sK393: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_446, type, sK394: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_447, type, sK395: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_448, type, sK396: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_449, type, sK397: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_450, type, sK398: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_451, type, sK399: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_452, type, sK400: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_453, type, sK401: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_454, type, sK402: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_455, type, sK403: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_456, type, sK404: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_457, type, sK405: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_458, type, sK406: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_459, type, sK407: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_460, type, sK408: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_461, type, sK409: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_462, type, sK410: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_463, type, sK411: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_464, type, sK412: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_465, type, sK413: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_466, type, sK414: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_467, type, sK415: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_468, type, sK416: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_469, type, sK417: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_470, type, sK418: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_471, type, sK419: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_472, type, sK420: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_473, type, sK421: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_474, type, sK422: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_475, type, sK423: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_476, type, sK424: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_477, type, sK425: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_478, type, sK426: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_479, type, sK427: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_480, type, sK428: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_481, type, sK429: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_482, type, sK430: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_483, type, sK431: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_484, type, sK432: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_485, type, sK433: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_486, type, sK434: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_487, type, sK435: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_488, type, sK436: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_489, type, sK437: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_490, type, sK438: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_491, type, sK439: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_492, type, sK440: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_493, type, sK441: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_494, type, sK442: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_495, type, sK443: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_496, type, sK444: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_497, type, sK445: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_498, type, sK446: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_499, type, sK447: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_500, type, sK448: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_501, type, sK449: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_502, type, sK450: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_503, type, sK451: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_504, type, sK452: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_505, type, sK453: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_506, type, sK454: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_507, type, sK455: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_508, type, sK456: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_509, type, sK457: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_510, type, sK458: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_511, type, sK459: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_512, type, sK460: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_513, type, sK461: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_514, type, sK462: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_515, type, sK463: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_516, type, sK464: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_517, type, sK465: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_518, type, sK466: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_519, type, sK467: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_520, type, sK468: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_521, type, sK469: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_522, type, sK470: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_523, type, sK471: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_524, type, sK472: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_525, type, sK473: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_526, type, sK474: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_527, type, sK475: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_528, type, sK476: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_529, type, sK477: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_530, type, sK478: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_531, type, sK479: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_532, type, sK480: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_533, type, sK481: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_534, type, sK482: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_535, type, sK483: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_536, type, sK484: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_537, type, sK485: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_538, type, sK486: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_539, type, sK487: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_540, type, sK488: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_541, type, sK489: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_542, type, sK490: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_543, type, sK491: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_544, type, sK492: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_545, type, sK493: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_546, type, sK494: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_547, type, sK495: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_548, type, sK496: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_549, type, sK497: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_550, type, sK498: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_551, type, sK499: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_552, type, sK500: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_553, type, sK501: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_554, type, sK502: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_555, type, sK503: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_556, type, sK504: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_557, type, sK505: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_558, type, sK506: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_559, type, sK507: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_560, type, sK508: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_561, type, sK509: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_562, type, sK510: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_563, type, sK511: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_564, type, sK512: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_565, type, sK513: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_566, type, sK514: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_567, type, sK515: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_568, type, sK516: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_569, type, sK517: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_570, type, sK518: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_571, type, sK519: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_572, type, sK520: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_573, type, sK521: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_574, type, sK522: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_575, type, sK523: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_576, type, sK524: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_577, type, sK525: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_578, type, sK526: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_579, type, sK527: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_580, type, sK528: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_581, type, sK529: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_582, type, sK530: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_583, type, sK531: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_584, type, sK532: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_585, type, sK533: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_586, type, sK534: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_587, type, sK535: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_588, type, sK536: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_589, type, sK537: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_590, type, sK538: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_591, type, sK539: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_592, type, sK540: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_593, type, sK541: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_594, type, sK542: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_595, type, sK543: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_596, type, sK544: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_597, type, sK545: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_598, type, sK546: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_599, type, sK547: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_600, type, sK548: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_601, type, sK549: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_602, type, sK550: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_603, type, sK551: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_604, type, sK552: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_605, type, sK553: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_606, type, sK554: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_607, type, sK555: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_608, type, sK556: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_609, type, sK557: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_610, type, sK558: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_611, type, sK559: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_612, type, sK560: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_613, type, sK561: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_614, type, sK562: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_615, type, sK563: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_616, type, sK564: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_617, type, sK565: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_618, type, sK566: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_619, type, sK567: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_620, type, sK568: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_621, type, sK569: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_622, type, sK570: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_623, type, sK571: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_624, type, sK572: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_625, type, sK573: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_626, type, sK574: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_627, type, sK575: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_628, type, sK576: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_629, type, sK577: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_630, type, sK578: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_631, type, sK579: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_632, type, sK580: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_633, type, sK581: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_634, type, sK582: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_635, type, sK583: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_636, type, sK584: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_637, type, sK585: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_638, type, sK586: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_639, type, sK587: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_640, type, sK588: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_641, type, sK589: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_642, type, sK590: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_643, type, sK591: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_644, type, sK592: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_645, type, sK593: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_646, type, sK594: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_647, type, sK595: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_648, type, sK596: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_649, type, sK597: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_650, type, sK598: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_651, type, sK599: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_652, type, sK600: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_653, type, sK601: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_654, type, sK602: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_655, type, sK603: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_656, type, sK604: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_657, type, sK605: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_658, type, sK606: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_659, type, sK607: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_660, type, sK608: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_661, type, sK609: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_662, type, sK610: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_663, type, sK611: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_664, type, sK612: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_665, type, sK613: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_666, type, sK614: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_667, type, sK615: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_668, type, sK616: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_669, type, sK617: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_670, type, sK618: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_671, type, sK619: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_672, type, sK620: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_673, type, sK621: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_674, type, sK622: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_675, type, sK623: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_676, type, sK624: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_677, type, sK625: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_678, type, sK626: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_679, type, sK627: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_680, type, sK628: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_681, type, sK629: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_682, type, sK630: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_683, type, sK631: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_684, type, sK632: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_685, type, sK633: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_686, type, sK634: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_687, type, sK635: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_688, type, sK636: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_689, type, sK637: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_690, type, sK638: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_691, type, sK639: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_692, type, sK640: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_693, type, sK641: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_694, type, sK642: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_695, type, sK643: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_696, type, sK644: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_697, type, sK645: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_698, type, sK646: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_699, type, sK647: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_700, type, sK648: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_701, type, sK649: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_702, type, sK650: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_703, type, sK651: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_704, type, sK652: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_705, type, sK653: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_706, type, sK654: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_707, type, sK655: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_708, type, sK656: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_709, type, sK657: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_710, type, sK658: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_711, type, sK659: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_712, type, sK660: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_713, type, sK661: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_714, type, sK662: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_715, type, sK663: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_716, type, sK664: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_717, type, sK665: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_718, type, sK666: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_719, type, sK667: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_720, type, sK668: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_721, type, sK669: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_722, type, sK670: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_723, type, sK671: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_724, type, sK672: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_725, type, sK673: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_726, type, sK674: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_727, type, sK675: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_728, type, sK676: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_729, type, sK677: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_730, type, sK678: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_731, type, sK679: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_732, type, sK680: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_733, type, sK681: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_734, type, sK682: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_735, type, sK683: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_736, type, sK684: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_737, type, sK685: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_738, type, sK686: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_739, type, sK687: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_740, type, sK688: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_741, type, sK689: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_742, type, sK690: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_743, type, sK691: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_744, type, sK692: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_745, type, sK693: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_746, type, sK694: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_747, type, sK695: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_748, type, sK696: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_749, type, sK697: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_750, type, sK698: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_751, type, sK699: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_752, type, sK700: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_753, type, sK701: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_754, type, sK702: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_755, type, sK703: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_756, type, sK704: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_757, type, sK705: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_758, type, sK706: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_759, type, sK707: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_760, type, sK708: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_761, type, sK709: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_762, type, sK710: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_763, type, sK711: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_764, type, sK712: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_765, type, sK713: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_766, type, sK714: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_767, type, sK715: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_768, type, sK716: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_769, type, sK717: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_770, type, sK718: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_771, type, sK719: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_772, type, sK720: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_773, type, sK721: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_774, type, sK722: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_775, type, sK723: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_776, type, sK724: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_777, type, sK725: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_778, type, sK726: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_779, type, sK727: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_780, type, sK728: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_781, type, sK729: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_782, type, sK730: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_783, type, sK731: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_784, type, sK732: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_785, type, sK733: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_786, type, sK734: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_787, type, sK735: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_788, type, sK736: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_789, type, sK737: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_790, type, sK738: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_791, type, sK739: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_792, type, sK740: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_793, type, sK741: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_794, type, sK742: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_795, type, sK743: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_796, type, sK744: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_797, type, sK745: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_798, type, sK746: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_799, type, sK747: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_800, type, sK748: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_801, type, sK749: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_802, type, sK750: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_803, type, sK751: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_804, type, sK752: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_805, type, sK753: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_806, type, sK754: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_807, type, sK755: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_808, type, sK756: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_809, type, sK757: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_810, type, sK758: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_811, type, sK759: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_812, type, sK760: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_813, type, sK761: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_814, type, sK762: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_815, type, sK763: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_816, type, sK764: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_817, type, sK765: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_818, type, sK766: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_819, type, sK767: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_820, type, sK768: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_821, type, sK769: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_822, type, sK770: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_823, type, sK771: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_824, type, sK772: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_825, type, sK773: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_826, type, sK774: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_827, type, sK775: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_828, type, sK776: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_829, type, sK777: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_830, type, sK778: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_831, type, sK779: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_832, type, sK780: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_833, type, sK781: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_834, type, sK782: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_835, type, sK783: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_836, type, sK784: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_837, type, sK785: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_838, type, sK786: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_839, type, sK787: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_840, type, sK788: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_841, type, sK789: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_842, type, sK790: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_843, type, sK791: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_844, type, sK792: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_845, type, sK793: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_846, type, sK794: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_847, type, sK795: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_848, type, sK796: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_849, type, sK797: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_850, type, sK798: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_851, type, sK799: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_852, type, sK800: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_853, type, sK801: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_854, type, sK802: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_855, type, sK803: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_856, type, sK804: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_857, type, sK805: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_858, type, sK806: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_859, type, sK807: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_860, type, sK808: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_861, type, sK809: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_862, type, sK810: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_863, type, sK811: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_864, type, sK812: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_865, type, sK813: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_866, type, sK814: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_867, type, sK815: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_868, type, sK816: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_869, type, sK817: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_870, type, sK818: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_871, type, sK819: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_872, type, sK820: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_873, type, sK821: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_874, type, sK822: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_875, type, sK823: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_876, type, sK824: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_877, type, sK825: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_878, type, sK826: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_879, type, sK827: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_880, type, sK828: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_881, type, sK829: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_882, type, sK830: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_883, type, sK831: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_884, type, sK832: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_885, type, sK833: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_886, type, sK834: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_887, type, sK835: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_888, type, sK836: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_889, type, sK837: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_890, type, sK838: ($i > $i > $o) > $i).
10.55/2.09	thf(func_def_891, type, sK839: ($i > $i > $o) > $i).
10.55/2.09	thf(f7115,plain,(
10.55/2.09	  $false),
10.55/2.09	  inference(subsumption_resolution,[status(thm)],[f255,f57])).
10.55/2.09	thf(f57,plain,(
10.55/2.09	  ( ! [X0 : $i,X1 : $i] : ((X0 = X1)) )),
10.55/2.09	  inference(superposition,[status(thm)],[f53,f53])).
10.55/2.09	thf(f53,plain,(
10.55/2.09	  ( ! [X0 : $i] : (((d2unsorted @ d_unsorted_0) = X0)) )),
10.55/2.09	  inference(forward_demodulation,[status(thm)],[f40,f36])).
10.55/2.09	thf(f36,plain,(
10.55/2.09	  ( ! [X4 : d_unsorted] : ((d_unsorted_0 = X4)) )),
10.55/2.09	  inference(cnf_transformation,[status(thm)],[f14])).
10.55/2.09	thf(f14,plain,(
10.55/2.09	  (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y3 @ Y2))) | (~ (Y0 @ Y1 @ Y3))))))))))) & (innf = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (~ (Y0 @ Y1 @ Y2)))))))) & (norm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: (~ (Y0 @ Y3 @ Y4))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y6 @ Y5) | (~ (Y4 @ Y6 @ Y7))) | (~ (Y4 @ Y7 @ Y5))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5)))))))))))))))) | (~ (Y0 @ Y2 @ Y1))))))))) & (so = (^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y3))) | (Y0 @ Y1 @ Y3)))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1)))))))))) & (term = (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y1 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (Y0 @ Y3 @ Y4)) | (~ (Y1 @ Y4))))))))))))))))) & (join = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y5 @ Y4) | (~ (Y3 @ Y5 @ Y6))) | (~ (Y3 @ Y6 @ Y4)))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4))))))))))) & (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y7 @ Y5))) | (Y4 @ Y6 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y5 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5))))))))) | (Y4 @ Y1 @ Y3))))))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y2 @ Y1) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y5 @ Y4)) | (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y6 @ Y5))))))))))))))) & (~ (Y1 = Y2)))))))))) & (trsc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((Y1 = Y2) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y5 @ Y4))))))))))) | (Y3 @ Y2 @ Y1))))) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y5 @ Y4))) | (Y3 @ Y6 @ Y4))))))))))))))))))) & ! [X0 : $i] : ((d2unsorted @ (sK0 @ X0)) = X0) & (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y2 @ Y6 @ Y5)) | (Y1 @ Y6 @ Y5))))))) | (Y0 @ Y1 @ Y3 @ Y4)) | (~ (Y0 @ Y2 @ Y3 @ Y4))))))))))))) & ! [X2 : d_unsorted,X3 : d_unsorted] : ((X2 = X3) | ((d2unsorted @ X3) != (d2unsorted @ X2))) & (symm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (~ (Y0 @ Y1 @ Y2))))))))) & ! [X4 : d_unsorted] : (d_unsorted_0 = X4) & (idem = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((Y0 @ Y1) = (Y0 @ (Y0 @ Y1))))))) & (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y2 @ Y3)))))))))) & (po = (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y1) | (~ (Y0 @ Y1 @ Y2))) | (~ (Y0 @ Y2 @ Y1)))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y1) | (~ (Y0 @ Y3 @ Y2))) | (~ (Y0 @ Y2 @ Y1)))))))))))) & (refl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))))) & (rc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y1 = Y2) | (Y0 @ Y1 @ Y2)))))))) & (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y5 @ Y6))) | (Y3 @ Y5 @ Y4))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))))))))))) & (trc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y6)) | (~ (Y3 @ Y5 @ Y4))) | (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))))) | (Y1 = Y2)))))))) & (sconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: ((((((((((Y4 = Y1) | (~ (Y0 @ Y2 @ Y1))) | (Y3 @ Y1 @ Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y5 @ Y6 @ Y7) | (~ (Y5 @ Y8 @ Y7))) | (~ (Y5 @ Y6 @ Y8))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y3 @ Y6 @ Y7) | (~ (Y0 @ Y6 @ Y7))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y5 @ Y7 @ Y6)))))))) | ((~ (Y4 = Y2)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y2 @ Y4) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y7 @ Y8) | (~ (Y0 @ Y7 @ Y8))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y8 @ Y9)) | (Y6 @ Y8 @ Y7)) | (~ (Y6 @ Y9 @ Y7)))))))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y10)) | (Y7 @ Y8 @ Y10)) | (~ (Y7 @ Y8 @ Y9)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8))))))))) | (Y7 @ Y1 @ Y6))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y8)) | (~ (Y7 @ Y8 @ Y10))) | (Y7 @ Y9 @ Y10))))))))) | (Y7 @ Y4 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y8 @ Y9) | (~ (Y0 @ Y8 @ Y9))))))))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y3 @ Y6 @ Y7)) | (Y3 @ Y8 @ Y7)) | (~ (Y3 @ Y8 @ Y6))))))))))) | (Y5 @ Y4 @ Y1)))))))))))))) & (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1))) | (Y2 = Y1)))))))) & (irrefl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1 @ Y1)))))) & (total = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y2 @ Y1) | (Y2 = Y1)) | (Y0 @ Y1 @ Y2)))))))) & (nfof = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((Y1 = Y2) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y5) | (~ (Y3 @ Y4 @ Y6))) | (~ (Y3 @ Y6 @ Y5))))))))))) | (Y3 @ Y2 @ Y1))))) & (!! @ $i @ (^[Y3 : $i]: (~ (Y0 @ Y1 @ Y3))))))))))) & (cr = (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((((((((((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y5 @ Y6 @ Y7))))))) | (Y5 @ Y3 @ Y2)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y8 @ Y6)) | (Y5 @ Y7 @ Y6)) | (~ (Y5 @ Y7 @ Y8)))))))))))))) & (~ (Y3 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y6 @ Y7) | (~ (Y0 @ Y6 @ Y7))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y6 @ Y7)) | (~ (Y5 @ Y8 @ Y6))) | (Y5 @ Y8 @ Y7)))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y5 @ Y6) | (~ (Y0 @ Y5 @ Y6))))))))) | (Y1 @ Y2 @ Y3)) | (Y3 = Y2)) | (Y4 @ Y3 @ Y2)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y2 @ Y5) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y7 @ Y8) | (~ (Y6 @ Y9 @ Y8))) | (~ (Y6 @ Y7 @ Y9))))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y7 @ Y8)) | (Y6 @ Y7 @ Y8))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y3 @ Y5) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y7 @ Y8) | (~ (Y0 @ Y7 @ Y8))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y9 @ Y8) | (~ (Y6 @ Y9 @ Y7))) | (~ (Y6 @ Y7 @ Y8))))))))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y5 @ Y6)) | (~ (Y4 @ Y7 @ Y5))) | (Y4 @ Y7 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y1 @ Y7 @ Y5) | (~ (Y1 @ Y6 @ Y5))) | (~ (Y1 @ Y7 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y1 @ Y6 @ Y5)))))))))))))))))) & (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1))))))))) & (sc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2)))))))) & (inv = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1))))))) & (ind = (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y3 @ Y4) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y8 @ Y6)) | (~ (Y5 @ Y6 @ Y7))) | (Y5 @ Y8 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y6 @ Y7) | (~ (Y0 @ Y6 @ Y7)))))))))))) | (Y1 @ Y4))))) | (Y1 @ Y3)))))))))))) & (infl = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y1 @ Y3 @ Y2) | (~ (Y1 @ Y3 @ Y2))))))))))) & (confl = (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((((((((((~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y8)) | (Y7 @ Y10 @ Y8)) | (~ (Y7 @ Y10 @ Y9)))))))))) | (Y7 @ Y3 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y8 @ Y9) | (~ (Y0 @ Y8 @ Y9)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y4 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y10 @ Y8) | (~ (Y7 @ Y10 @ Y9))) | (~ (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8)))))))))))))))) | ((~ (Y5 = Y4)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y9)) | (~ (Y6 @ Y7 @ Y9)))))))))) | (Y6 @ Y5 @ Y4)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y7 @ Y8) | (~ (Y0 @ Y7 @ Y8)))))))))))))) | (Y1 @ Y4 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y2 @ Y7 @ Y6)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y1 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y1 @ Y8 @ Y6)) | (Y1 @ Y7 @ Y6)) | (~ (Y1 @ Y7 @ Y8))))))))))) | ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y8 @ Y7) | (~ (Y0 @ Y8 @ Y7)))))))) | (Y6 @ Y5 @ Y3)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y8 @ Y7) | (~ (Y6 @ Y9 @ Y7))) | (~ (Y6 @ Y8 @ Y9)))))))))))))) & (~ (Y5 = Y3)))) | (Y4 = Y3)) | (Y2 @ Y3 @ Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y7 @ Y6)) | (~ (Y2 @ Y8 @ Y7))) | (Y2 @ Y8 @ Y6)))))))))))))))))))))) & (lconfl = (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((((((((((~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (Y7 @ Y8 @ Y9)) | (~ (Y7 @ Y8 @ Y10)))))))))) | (Y7 @ Y4 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y8 @ Y9) | (~ (Y0 @ Y8 @ Y9)))))))) | (Y7 @ Y5 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y8 @ Y9)) | (Y7 @ Y10 @ Y9)) | (~ (Y7 @ Y10 @ Y8)))))))))))))))))) | (~ (Y0 @ Y3 @ Y4))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y7 @ Y6)) | (~ (Y2 @ Y6 @ Y8))) | (Y2 @ Y7 @ Y8)))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y1 @ Y6 @ Y8) | (~ (Y1 @ Y6 @ Y7))) | (~ (Y1 @ Y7 @ Y8))))))))))) | (Y1 @ Y5 @ Y4)) | (~ (Y0 @ Y3 @ Y5))) | (Y5 = Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y1 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y2 @ Y6 @ Y7) | (~ (Y0 @ Y6 @ Y7))))))))) | (Y2 @ Y4 @ Y5))))))))))))))),
10.55/2.09	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f12,f13])).
10.55/2.09	thf(f13,plain,(
10.55/2.09	  ! [X0 : $i] : (? [X1 : d_unsorted] : ((d2unsorted @ X1) = X0) => ((d2unsorted @ (sK0 @ X0)) = X0))),
10.55/2.09	  introduced(definition,[],[choice_axiom])).
10.55/2.09	thf(f12,plain,(
10.55/2.09	  (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y3 @ Y2))) | (~ (Y0 @ Y1 @ Y3))))))))))) & (innf = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (~ (Y0 @ Y1 @ Y2)))))))) & (norm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: (~ (Y0 @ Y3 @ Y4))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y6 @ Y5) | (~ (Y4 @ Y6 @ Y7))) | (~ (Y4 @ Y7 @ Y5))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5)))))))))))))))) | (~ (Y0 @ Y2 @ Y1))))))))) & (so = (^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y3))) | (Y0 @ Y1 @ Y3)))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1)))))))))) & (term = (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y1 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (Y0 @ Y3 @ Y4)) | (~ (Y1 @ Y4))))))))))))))))) & (join = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y5 @ Y4) | (~ (Y3 @ Y5 @ Y6))) | (~ (Y3 @ Y6 @ Y4)))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4))))))))))) & (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y7 @ Y5))) | (Y4 @ Y6 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y5 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5))))))))) | (Y4 @ Y1 @ Y3))))))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y2 @ Y1) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y5 @ Y4)) | (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y6 @ Y5))))))))))))))) & (~ (Y1 = Y2)))))))))) & (trsc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((Y1 = Y2) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y5 @ Y4))))))))))) | (Y3 @ Y2 @ Y1))))) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y5 @ Y4))) | (Y3 @ Y6 @ Y4))))))))))))))))))) & ! [X0 : $i] : ? [X1 : d_unsorted] : ((d2unsorted @ X1) = X0) & (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y2 @ Y6 @ Y5)) | (Y1 @ Y6 @ Y5))))))) | (Y0 @ Y1 @ Y3 @ Y4)) | (~ (Y0 @ Y2 @ Y3 @ Y4))))))))))))) & ! [X2 : d_unsorted,X3 : d_unsorted] : ((X2 = X3) | ((d2unsorted @ X3) != (d2unsorted @ X2))) & (symm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (~ (Y0 @ Y1 @ Y2))))))))) & ! [X4 : d_unsorted] : (d_unsorted_0 = X4) & (idem = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((Y0 @ Y1) = (Y0 @ (Y0 @ Y1))))))) & (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y2 @ Y3)))))))))) & (po = (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y1) | (~ (Y0 @ Y1 @ Y2))) | (~ (Y0 @ Y2 @ Y1)))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y1) | (~ (Y0 @ Y3 @ Y2))) | (~ (Y0 @ Y2 @ Y1)))))))))))) & (refl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))))) & (rc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y1 = Y2) | (Y0 @ Y1 @ Y2)))))))) & (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y5 @ Y6))) | (Y3 @ Y5 @ Y4))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))))))))))) & (trc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y6)) | (~ (Y3 @ Y5 @ Y4))) | (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))))) | (Y1 = Y2)))))))) & (sconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: ((((((((((Y4 = Y1) | (~ (Y0 @ Y2 @ Y1))) | (Y3 @ Y1 @ Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y5 @ Y6 @ Y7) | (~ (Y5 @ Y8 @ Y7))) | (~ (Y5 @ Y6 @ Y8))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y3 @ Y6 @ Y7) | (~ (Y0 @ Y6 @ Y7))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y5 @ Y7 @ Y6)))))))) | ((~ (Y4 = Y2)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y2 @ Y4) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y7 @ Y8) | (~ (Y0 @ Y7 @ Y8))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y8 @ Y9)) | (Y6 @ Y8 @ Y7)) | (~ (Y6 @ Y9 @ Y7)))))))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y10)) | (Y7 @ Y8 @ Y10)) | (~ (Y7 @ Y8 @ Y9)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8))))))))) | (Y7 @ Y1 @ Y6))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y8)) | (~ (Y7 @ Y8 @ Y10))) | (Y7 @ Y9 @ Y10))))))))) | (Y7 @ Y4 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y8 @ Y9) | (~ (Y0 @ Y8 @ Y9))))))))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y3 @ Y6 @ Y7)) | (Y3 @ Y8 @ Y7)) | (~ (Y3 @ Y8 @ Y6))))))))))) | (Y5 @ Y4 @ Y1)))))))))))))) & (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1))) | (Y2 = Y1)))))))) & (irrefl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1 @ Y1)))))) & (total = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y2 @ Y1) | (Y2 = Y1)) | (Y0 @ Y1 @ Y2)))))))) & (nfof = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((Y1 = Y2) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y5) | (~ (Y3 @ Y4 @ Y6))) | (~ (Y3 @ Y6 @ Y5))))))))))) | (Y3 @ Y2 @ Y1))))) & (!! @ $i @ (^[Y3 : $i]: (~ (Y0 @ Y1 @ Y3))))))))))) & (cr = (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((((((((((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y5 @ Y6 @ Y7))))))) | (Y5 @ Y3 @ Y2)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y8 @ Y6)) | (Y5 @ Y7 @ Y6)) | (~ (Y5 @ Y7 @ Y8)))))))))))))) & (~ (Y3 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y6 @ Y7) | (~ (Y0 @ Y6 @ Y7))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y6 @ Y7)) | (~ (Y5 @ Y8 @ Y6))) | (Y5 @ Y8 @ Y7)))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y5 @ Y6) | (~ (Y0 @ Y5 @ Y6))))))))) | (Y1 @ Y2 @ Y3)) | (Y3 = Y2)) | (Y4 @ Y3 @ Y2)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y2 @ Y5) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y7 @ Y8) | (~ (Y6 @ Y9 @ Y8))) | (~ (Y6 @ Y7 @ Y9))))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y7 @ Y8)) | (Y6 @ Y7 @ Y8))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y3 @ Y5) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y7 @ Y8) | (~ (Y0 @ Y7 @ Y8))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y9 @ Y8) | (~ (Y6 @ Y9 @ Y7))) | (~ (Y6 @ Y7 @ Y8))))))))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y5 @ Y6)) | (~ (Y4 @ Y7 @ Y5))) | (Y4 @ Y7 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y1 @ Y7 @ Y5) | (~ (Y1 @ Y6 @ Y5))) | (~ (Y1 @ Y7 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y1 @ Y6 @ Y5)))))))))))))))))) & (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1))))))))) & (sc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2)))))))) & (inv = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1))))))) & (ind = (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y3 @ Y4) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y8 @ Y6)) | (~ (Y5 @ Y6 @ Y7))) | (Y5 @ Y8 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y6 @ Y7) | (~ (Y0 @ Y6 @ Y7)))))))))))) | (Y1 @ Y4))))) | (Y1 @ Y3)))))))))))) & (infl = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y1 @ Y3 @ Y2) | (~ (Y1 @ Y3 @ Y2))))))))))) & (confl = (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((((((((((~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y8)) | (Y7 @ Y10 @ Y8)) | (~ (Y7 @ Y10 @ Y9)))))))))) | (Y7 @ Y3 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y8 @ Y9) | (~ (Y0 @ Y8 @ Y9)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y4 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y10 @ Y8) | (~ (Y7 @ Y10 @ Y9))) | (~ (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8)))))))))))))))) | ((~ (Y5 = Y4)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y9)) | (~ (Y6 @ Y7 @ Y9)))))))))) | (Y6 @ Y5 @ Y4)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y7 @ Y8) | (~ (Y0 @ Y7 @ Y8)))))))))))))) | (Y1 @ Y4 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y2 @ Y7 @ Y6)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y1 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y1 @ Y8 @ Y6)) | (Y1 @ Y7 @ Y6)) | (~ (Y1 @ Y7 @ Y8))))))))))) | ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y8 @ Y7) | (~ (Y0 @ Y8 @ Y7)))))))) | (Y6 @ Y5 @ Y3)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y8 @ Y7) | (~ (Y6 @ Y9 @ Y7))) | (~ (Y6 @ Y8 @ Y9)))))))))))))) & (~ (Y5 = Y3)))) | (Y4 = Y3)) | (Y2 @ Y3 @ Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y7 @ Y6)) | (~ (Y2 @ Y8 @ Y7))) | (Y2 @ Y8 @ Y6)))))))))))))))))))))) & (lconfl = (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((((((((((~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (Y7 @ Y8 @ Y9)) | (~ (Y7 @ Y8 @ Y10)))))))))) | (Y7 @ Y4 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y8 @ Y9) | (~ (Y0 @ Y8 @ Y9)))))))) | (Y7 @ Y5 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y8 @ Y9)) | (Y7 @ Y10 @ Y9)) | (~ (Y7 @ Y10 @ Y8)))))))))))))))))) | (~ (Y0 @ Y3 @ Y4))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y7 @ Y6)) | (~ (Y2 @ Y6 @ Y8))) | (Y2 @ Y7 @ Y8)))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y1 @ Y6 @ Y8) | (~ (Y1 @ Y6 @ Y7))) | (~ (Y1 @ Y7 @ Y8))))))))))) | (Y1 @ Y5 @ Y4)) | (~ (Y0 @ Y3 @ Y5))) | (Y5 = Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y1 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y2 @ Y6 @ Y7) | (~ (Y0 @ Y6 @ Y7))))))))) | (Y2 @ Y4 @ Y5))))))))))))))),
10.55/2.09	  inference(rectify,[status(thm)],[f11])).
10.55/2.09	thf(f11,plain,(
10.55/2.09	  (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y3 @ Y2))) | (~ (Y0 @ Y1 @ Y3))))))))))) & (innf = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (~ (Y0 @ Y1 @ Y2)))))))) & (norm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: (~ (Y0 @ Y3 @ Y4))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y6 @ Y5) | (~ (Y4 @ Y6 @ Y7))) | (~ (Y4 @ Y7 @ Y5))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5)))))))))))))))) | (~ (Y0 @ Y2 @ Y1))))))))) & (so = (^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y3))) | (Y0 @ Y1 @ Y3)))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1)))))))))) & (term = (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y1 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (Y0 @ Y3 @ Y4)) | (~ (Y1 @ Y4))))))))))))))))) & (join = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y5 @ Y4) | (~ (Y3 @ Y5 @ Y6))) | (~ (Y3 @ Y6 @ Y4)))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4))))))))))) & (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y7 @ Y5))) | (Y4 @ Y6 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y5 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5))))))))) | (Y4 @ Y1 @ Y3))))))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y2 @ Y1) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y5 @ Y4)) | (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y6 @ Y5))))))))))))))) & (~ (Y1 = Y2)))))))))) & (trsc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((Y1 = Y2) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y5 @ Y4))))))))))) | (Y3 @ Y2 @ Y1))))) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y5 @ Y4))) | (Y3 @ Y6 @ Y4))))))))))))))))))) & ! [X2 : $i] : ? [X3 : d_unsorted] : ((d2unsorted @ X3) = X2) & (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y2 @ Y6 @ Y5)) | (Y1 @ Y6 @ Y5))))))) | (Y0 @ Y1 @ Y3 @ Y4)) | (~ (Y0 @ Y2 @ Y3 @ Y4))))))))))))) & ! [X0 : d_unsorted,X1 : d_unsorted] : ((X0 = X1) | ((d2unsorted @ X1) != (d2unsorted @ X0))) & (symm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (~ (Y0 @ Y1 @ Y2))))))))) & ! [X4 : d_unsorted] : (d_unsorted_0 = X4) & (idem = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((Y0 @ Y1) = (Y0 @ (Y0 @ Y1))))))) & (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y2 @ Y3)))))))))) & (po = (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y1) | (~ (Y0 @ Y1 @ Y2))) | (~ (Y0 @ Y2 @ Y1)))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y1) | (~ (Y0 @ Y3 @ Y2))) | (~ (Y0 @ Y2 @ Y1)))))))))))) & (refl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))))) & (rc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y1 = Y2) | (Y0 @ Y1 @ Y2)))))))) & (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y5 @ Y6))) | (Y3 @ Y5 @ Y4))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))))))))))) & (trc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y6)) | (~ (Y3 @ Y5 @ Y4))) | (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))))) | (Y1 = Y2)))))))) & (sconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: ((((((((((Y4 = Y1) | (~ (Y0 @ Y2 @ Y1))) | (Y3 @ Y1 @ Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y5 @ Y6 @ Y7) | (~ (Y5 @ Y8 @ Y7))) | (~ (Y5 @ Y6 @ Y8))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y3 @ Y6 @ Y7) | (~ (Y0 @ Y6 @ Y7))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y5 @ Y7 @ Y6)))))))) | ((~ (Y4 = Y2)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y2 @ Y4) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y7 @ Y8) | (~ (Y0 @ Y7 @ Y8))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y8 @ Y9)) | (Y6 @ Y8 @ Y7)) | (~ (Y6 @ Y9 @ Y7)))))))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y10)) | (Y7 @ Y8 @ Y10)) | (~ (Y7 @ Y8 @ Y9)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8))))))))) | (Y7 @ Y1 @ Y6))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y8)) | (~ (Y7 @ Y8 @ Y10))) | (Y7 @ Y9 @ Y10))))))))) | (Y7 @ Y4 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y8 @ Y9) | (~ (Y0 @ Y8 @ Y9))))))))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y3 @ Y6 @ Y7)) | (Y3 @ Y8 @ Y7)) | (~ (Y3 @ Y8 @ Y6))))))))))) | (Y5 @ Y4 @ Y1)))))))))))))) & (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1))) | (Y2 = Y1)))))))) & (irrefl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1 @ Y1)))))) & (total = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y2 @ Y1) | (Y2 = Y1)) | (Y0 @ Y1 @ Y2)))))))) & (nfof = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((Y1 = Y2) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y5) | (~ (Y3 @ Y4 @ Y6))) | (~ (Y3 @ Y6 @ Y5))))))))))) | (Y3 @ Y2 @ Y1))))) & (!! @ $i @ (^[Y3 : $i]: (~ (Y0 @ Y1 @ Y3))))))))))) & (cr = (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((((((((((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y5 @ Y6 @ Y7))))))) | (Y5 @ Y3 @ Y2)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y8 @ Y6)) | (Y5 @ Y7 @ Y6)) | (~ (Y5 @ Y7 @ Y8)))))))))))))) & (~ (Y3 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y6 @ Y7) | (~ (Y0 @ Y6 @ Y7))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y6 @ Y7)) | (~ (Y5 @ Y8 @ Y6))) | (Y5 @ Y8 @ Y7)))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y5 @ Y6) | (~ (Y0 @ Y5 @ Y6))))))))) | (Y1 @ Y2 @ Y3)) | (Y3 = Y2)) | (Y4 @ Y3 @ Y2)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y2 @ Y5) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y7 @ Y8) | (~ (Y6 @ Y9 @ Y8))) | (~ (Y6 @ Y7 @ Y9))))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y7 @ Y8)) | (Y6 @ Y7 @ Y8))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y3 @ Y5) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y7 @ Y8) | (~ (Y0 @ Y7 @ Y8))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y9 @ Y8) | (~ (Y6 @ Y9 @ Y7))) | (~ (Y6 @ Y7 @ Y8))))))))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y5 @ Y6)) | (~ (Y4 @ Y7 @ Y5))) | (Y4 @ Y7 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y1 @ Y7 @ Y5) | (~ (Y1 @ Y6 @ Y5))) | (~ (Y1 @ Y7 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y1 @ Y6 @ Y5)))))))))))))))))) & (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1))))))))) & (sc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2)))))))) & (inv = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1))))))) & (ind = (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y3 @ Y4) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y8 @ Y6)) | (~ (Y5 @ Y6 @ Y7))) | (Y5 @ Y8 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y6 @ Y7) | (~ (Y0 @ Y6 @ Y7)))))))))))) | (Y1 @ Y4))))) | (Y1 @ Y3)))))))))))) & (infl = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y1 @ Y3 @ Y2) | (~ (Y1 @ Y3 @ Y2))))))))))) & (confl = (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((((((((((~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y8)) | (Y7 @ Y10 @ Y8)) | (~ (Y7 @ Y10 @ Y9)))))))))) | (Y7 @ Y3 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y8 @ Y9) | (~ (Y0 @ Y8 @ Y9)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y4 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y10 @ Y8) | (~ (Y7 @ Y10 @ Y9))) | (~ (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8)))))))))))))))) | ((~ (Y5 = Y4)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y9)) | (~ (Y6 @ Y7 @ Y9)))))))))) | (Y6 @ Y5 @ Y4)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y7 @ Y8) | (~ (Y0 @ Y7 @ Y8)))))))))))))) | (Y1 @ Y4 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y2 @ Y7 @ Y6)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y1 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y1 @ Y8 @ Y6)) | (Y1 @ Y7 @ Y6)) | (~ (Y1 @ Y7 @ Y8))))))))))) | ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y8 @ Y7) | (~ (Y0 @ Y8 @ Y7)))))))) | (Y6 @ Y5 @ Y3)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y8 @ Y7) | (~ (Y6 @ Y9 @ Y7))) | (~ (Y6 @ Y8 @ Y9)))))))))))))) & (~ (Y5 = Y3)))) | (Y4 = Y3)) | (Y2 @ Y3 @ Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y7 @ Y6)) | (~ (Y2 @ Y8 @ Y7))) | (Y2 @ Y8 @ Y6)))))))))))))))))))))) & (lconfl = (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((((((((((~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (Y7 @ Y8 @ Y9)) | (~ (Y7 @ Y8 @ Y10)))))))))) | (Y7 @ Y4 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y8 @ Y9) | (~ (Y0 @ Y8 @ Y9)))))))) | (Y7 @ Y5 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y8 @ Y9)) | (Y7 @ Y10 @ Y9)) | (~ (Y7 @ Y10 @ Y8)))))))))))))))))) | (~ (Y0 @ Y3 @ Y4))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y7 @ Y6)) | (~ (Y2 @ Y6 @ Y8))) | (Y2 @ Y7 @ Y8)))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y1 @ Y6 @ Y8) | (~ (Y1 @ Y6 @ Y7))) | (~ (Y1 @ Y7 @ Y8))))))))))) | (Y1 @ Y5 @ Y4)) | (~ (Y0 @ Y3 @ Y5))) | (Y5 = Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y1 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y2 @ Y6 @ Y7) | (~ (Y0 @ Y6 @ Y7))))))))) | (Y2 @ Y4 @ Y5))))))))))))))),
10.55/2.09	  inference(ennf_transformation,[status(thm)],[f10])).
10.55/2.09	thf(f10,plain,(
10.55/2.09	  (confl = (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((((((((((~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y8)) | (Y7 @ Y10 @ Y8)) | (~ (Y7 @ Y10 @ Y9)))))))))) | (Y7 @ Y3 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y8 @ Y9) | (~ (Y0 @ Y8 @ Y9)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y4 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y10 @ Y8) | (~ (Y7 @ Y10 @ Y9))) | (~ (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8)))))))))))))))) | ((~ (Y5 = Y4)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y9)) | (~ (Y6 @ Y7 @ Y9)))))))))) | (Y6 @ Y5 @ Y4)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y7 @ Y8) | (~ (Y0 @ Y7 @ Y8)))))))))))))) | (Y1 @ Y4 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y2 @ Y7 @ Y6)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y1 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y1 @ Y8 @ Y6)) | (Y1 @ Y7 @ Y6)) | (~ (Y1 @ Y7 @ Y8))))))))))) | ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y8 @ Y7) | (~ (Y0 @ Y8 @ Y7)))))))) | (Y6 @ Y5 @ Y3)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y8 @ Y7) | (~ (Y6 @ Y9 @ Y7))) | (~ (Y6 @ Y8 @ Y9)))))))))))))) & (~ (Y5 = Y3)))) | (Y4 = Y3)) | (Y2 @ Y3 @ Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y7 @ Y6)) | (~ (Y2 @ Y8 @ Y7))) | (Y2 @ Y8 @ Y6)))))))))))))))))))))) & (trc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y6)) | (~ (Y3 @ Y5 @ Y4))) | (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))))) | (Y1 = Y2)))))))) & (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y3 @ Y2))) | (~ (Y0 @ Y1 @ Y3))))))))))) & (nfof = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((Y1 = Y2) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y5) | (~ (Y3 @ Y4 @ Y6))) | (~ (Y3 @ Y6 @ Y5))))))))))) | (Y3 @ Y2 @ Y1))))) & (!! @ $i @ (^[Y3 : $i]: (~ (Y0 @ Y1 @ Y3))))))))))) & (po = (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y1) | (~ (Y0 @ Y1 @ Y2))) | (~ (Y0 @ Y2 @ Y1)))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y1) | (~ (Y0 @ Y3 @ Y2))) | (~ (Y0 @ Y2 @ Y1)))))))))))) & (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1))))))))) & (refl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))))) & ! [X0 : d_unsorted,X1 : d_unsorted] : (((d2unsorted @ X1) = (d2unsorted @ X0)) => (X0 = X1)) & (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y2 @ Y3)))))))))) & (symm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (~ (Y0 @ Y1 @ Y2))))))))) & (norm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: (~ (Y0 @ Y3 @ Y4))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y6 @ Y5) | (~ (Y4 @ Y6 @ Y7))) | (~ (Y4 @ Y7 @ Y5))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5)))))))))))))))) | (~ (Y0 @ Y2 @ Y1))))))))) & (idem = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((Y0 @ Y1) = (Y0 @ (Y0 @ Y1))))))) & (sconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: ((((((((((Y4 = Y1) | (~ (Y0 @ Y2 @ Y1))) | (Y3 @ Y1 @ Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y5 @ Y6 @ Y7) | (~ (Y5 @ Y8 @ Y7))) | (~ (Y5 @ Y6 @ Y8))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y3 @ Y6 @ Y7) | (~ (Y0 @ Y6 @ Y7))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y5 @ Y7 @ Y6)))))))) | ((~ (Y4 = Y2)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y2 @ Y4) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y7 @ Y8) | (~ (Y0 @ Y7 @ Y8))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y8 @ Y9)) | (Y6 @ Y8 @ Y7)) | (~ (Y6 @ Y9 @ Y7)))))))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y10)) | (Y7 @ Y8 @ Y10)) | (~ (Y7 @ Y8 @ Y9)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8))))))))) | (Y7 @ Y1 @ Y6))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y8)) | (~ (Y7 @ Y8 @ Y10))) | (Y7 @ Y9 @ Y10))))))))) | (Y7 @ Y4 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y8 @ Y9) | (~ (Y0 @ Y8 @ Y9))))))))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y3 @ Y6 @ Y7)) | (Y3 @ Y8 @ Y7)) | (~ (Y3 @ Y8 @ Y6))))))))))) | (Y5 @ Y4 @ Y1)))))))))))))) & (total = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y2 @ Y1) | (Y2 = Y1)) | (Y0 @ Y1 @ Y2)))))))) & ! [X2 : $i] : ? [X3 : d_unsorted] : ((d2unsorted @ X3) = X2) & (lconfl = (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((((((((((~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (Y7 @ Y8 @ Y9)) | (~ (Y7 @ Y8 @ Y10)))))))))) | (Y7 @ Y4 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y8 @ Y9) | (~ (Y0 @ Y8 @ Y9)))))))) | (Y7 @ Y5 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y8 @ Y9)) | (Y7 @ Y10 @ Y9)) | (~ (Y7 @ Y10 @ Y8)))))))))))))))))) | (~ (Y0 @ Y3 @ Y4))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y7 @ Y6)) | (~ (Y2 @ Y6 @ Y8))) | (Y2 @ Y7 @ Y8)))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y1 @ Y6 @ Y8) | (~ (Y1 @ Y6 @ Y7))) | (~ (Y1 @ Y7 @ Y8))))))))))) | (Y1 @ Y5 @ Y4)) | (~ (Y0 @ Y3 @ Y5))) | (Y5 = Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y1 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y2 @ Y6 @ Y7) | (~ (Y0 @ Y6 @ Y7))))))))) | (Y2 @ Y4 @ Y5)))))))))))))) & (inv = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1))))))) & (cr = (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((((((((((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y5 @ Y6 @ Y7))))))) | (Y5 @ Y3 @ Y2)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y8 @ Y6)) | (Y5 @ Y7 @ Y6)) | (~ (Y5 @ Y7 @ Y8)))))))))))))) & (~ (Y3 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y6 @ Y7) | (~ (Y0 @ Y6 @ Y7))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y6 @ Y7)) | (~ (Y5 @ Y8 @ Y6))) | (Y5 @ Y8 @ Y7)))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y5 @ Y6) | (~ (Y0 @ Y5 @ Y6))))))))) | (Y1 @ Y2 @ Y3)) | (Y3 = Y2)) | (Y4 @ Y3 @ Y2)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y2 @ Y5) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y7 @ Y8) | (~ (Y6 @ Y9 @ Y8))) | (~ (Y6 @ Y7 @ Y9))))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y7 @ Y8)) | (Y6 @ Y7 @ Y8))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y3 @ Y5) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y7 @ Y8) | (~ (Y0 @ Y7 @ Y8))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y9 @ Y8) | (~ (Y6 @ Y9 @ Y7))) | (~ (Y6 @ Y7 @ Y8))))))))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y5 @ Y6)) | (~ (Y4 @ Y7 @ Y5))) | (Y4 @ Y7 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y1 @ Y7 @ Y5) | (~ (Y1 @ Y6 @ Y5))) | (~ (Y1 @ Y7 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y1 @ Y6 @ Y5)))))))))))))))))) & (term = (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y1 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (Y0 @ Y3 @ Y4)) | (~ (Y1 @ Y4))))))))))))))))) & (ind = (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y3 @ Y4) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y8 @ Y6)) | (~ (Y5 @ Y6 @ Y7))) | (Y5 @ Y8 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y6 @ Y7) | (~ (Y0 @ Y6 @ Y7)))))))))))) | (Y1 @ Y4))))) | (Y1 @ Y3)))))))))))) & (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y2 @ Y6 @ Y5)) | (Y1 @ Y6 @ Y5))))))) | (Y0 @ Y1 @ Y3 @ Y4)) | (~ (Y0 @ Y2 @ Y3 @ Y4))))))))))))) & (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1))) | (Y2 = Y1)))))))) & (irrefl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1 @ Y1)))))) & (rc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y1 = Y2) | (Y0 @ Y1 @ Y2)))))))) & ! [X4 : d_unsorted] : (d_unsorted_0 = X4) & (trsc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((Y1 = Y2) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y5 @ Y4))))))))))) | (Y3 @ Y2 @ Y1))))) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y5 @ Y4))) | (Y3 @ Y6 @ Y4))))))))))))))))))) & (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y5 @ Y6))) | (Y3 @ Y5 @ Y4))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))))))))))) & (join = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y5 @ Y4) | (~ (Y3 @ Y5 @ Y6))) | (~ (Y3 @ Y6 @ Y4)))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4))))))))))) & (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y7 @ Y5))) | (Y4 @ Y6 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y5 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5))))))))) | (Y4 @ Y1 @ Y3))))))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y2 @ Y1) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y5 @ Y4)) | (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y6 @ Y5))))))))))))))) & (~ (Y1 = Y2)))))))))) & (so = (^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y3))) | (Y0 @ Y1 @ Y3)))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1)))))))))) & (sc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2)))))))) & (infl = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y1 @ Y3 @ Y2) | (~ (Y1 @ Y3 @ Y2))))))))))) & (innf = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (~ (Y0 @ Y1 @ Y2))))))))),
10.55/2.09	  inference(rectify,[status(thm)],[f6])).
10.55/2.09	thf(f6,plain,(
10.55/2.09	  (ind = (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y3 @ Y4) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y8 @ Y6)) | (~ (Y5 @ Y6 @ Y7))) | (Y5 @ Y8 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y6 @ Y7) | (~ (Y0 @ Y6 @ Y7)))))))))))) | (Y1 @ Y4))))) | (Y1 @ Y3)))))))))))) & (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y3 @ Y2))) | (~ (Y0 @ Y1 @ Y3))))))))))) & (inv = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1))))))) & (irrefl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1 @ Y1)))))) & (nfof = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((Y1 = Y2) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y5) | (~ (Y3 @ Y4 @ Y6))) | (~ (Y3 @ Y6 @ Y5))))))))))) | (Y3 @ Y2 @ Y1))))) & (!! @ $i @ (^[Y3 : $i]: (~ (Y0 @ Y1 @ Y3))))))))))) & ! [X30 : d_unsorted,X31 : d_unsorted] : (((d2unsorted @ X31) = (d2unsorted @ X30)) => (X30 = X31)) & (innf = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (~ (Y0 @ Y1 @ Y2)))))))) & (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y2 @ Y6 @ Y5)) | (Y1 @ Y6 @ Y5))))))) | (Y0 @ Y1 @ Y3 @ Y4)) | (~ (Y0 @ Y2 @ Y3 @ Y4))))))))))))) & (term = (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y1 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (Y0 @ Y3 @ Y4)) | (~ (Y1 @ Y4))))))))))))))))) & (idem = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((Y0 @ Y1) = (Y0 @ (Y0 @ Y1))))))) & (sc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2)))))))) & (sconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: ((((((((((Y4 = Y1) | (~ (Y0 @ Y2 @ Y1))) | (Y3 @ Y1 @ Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y5 @ Y6 @ Y7) | (~ (Y5 @ Y8 @ Y7))) | (~ (Y5 @ Y6 @ Y8))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y3 @ Y6 @ Y7) | (~ (Y0 @ Y6 @ Y7))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y5 @ Y7 @ Y6)))))))) | ((~ (Y4 = Y2)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y2 @ Y4) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y7 @ Y8) | (~ (Y0 @ Y7 @ Y8))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y8 @ Y9)) | (Y6 @ Y8 @ Y7)) | (~ (Y6 @ Y9 @ Y7)))))))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y10)) | (Y7 @ Y8 @ Y10)) | (~ (Y7 @ Y8 @ Y9)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8))))))))) | (Y7 @ Y1 @ Y6))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y8)) | (~ (Y7 @ Y8 @ Y10))) | (Y7 @ Y9 @ Y10))))))))) | (Y7 @ Y4 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y8 @ Y9) | (~ (Y0 @ Y8 @ Y9))))))))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y3 @ Y6 @ Y7)) | (Y3 @ Y8 @ Y7)) | (~ (Y3 @ Y8 @ Y6))))))))))) | (Y5 @ Y4 @ Y1)))))))))))))) & (lconfl = (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((((((((((~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (Y7 @ Y8 @ Y9)) | (~ (Y7 @ Y8 @ Y10)))))))))) | (Y7 @ Y4 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y8 @ Y9) | (~ (Y0 @ Y8 @ Y9)))))))) | (Y7 @ Y5 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y8 @ Y9)) | (Y7 @ Y10 @ Y9)) | (~ (Y7 @ Y10 @ Y8)))))))))))))))))) | (~ (Y0 @ Y3 @ Y4))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y7 @ Y6)) | (~ (Y2 @ Y6 @ Y8))) | (Y2 @ Y7 @ Y8)))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y1 @ Y6 @ Y8) | (~ (Y1 @ Y6 @ Y7))) | (~ (Y1 @ Y7 @ Y8))))))))))) | (Y1 @ Y5 @ Y4)) | (~ (Y0 @ Y3 @ Y5))) | (Y5 = Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y1 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y2 @ Y6 @ Y7) | (~ (Y0 @ Y6 @ Y7))))))))) | (Y2 @ Y4 @ Y5)))))))))))))) & (so = (^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y3))) | (Y0 @ Y1 @ Y3)))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1)))))))))) & (po = (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y1) | (~ (Y0 @ Y1 @ Y2))) | (~ (Y0 @ Y2 @ Y1)))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y1) | (~ (Y0 @ Y3 @ Y2))) | (~ (Y0 @ Y2 @ Y1)))))))))))) & (cr = (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((((((((((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y5 @ Y6 @ Y7))))))) | (Y5 @ Y3 @ Y2)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y8 @ Y6)) | (Y5 @ Y7 @ Y6)) | (~ (Y5 @ Y7 @ Y8)))))))))))))) & (~ (Y3 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y6 @ Y7) | (~ (Y0 @ Y6 @ Y7))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y6 @ Y7)) | (~ (Y5 @ Y8 @ Y6))) | (Y5 @ Y8 @ Y7)))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y5 @ Y6) | (~ (Y0 @ Y5 @ Y6))))))))) | (Y1 @ Y2 @ Y3)) | (Y3 = Y2)) | (Y4 @ Y3 @ Y2)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y2 @ Y5) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y7 @ Y8) | (~ (Y6 @ Y9 @ Y8))) | (~ (Y6 @ Y7 @ Y9))))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y7 @ Y8)) | (Y6 @ Y7 @ Y8))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y3 @ Y5) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y7 @ Y8) | (~ (Y0 @ Y7 @ Y8))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y9 @ Y8) | (~ (Y6 @ Y9 @ Y7))) | (~ (Y6 @ Y7 @ Y8))))))))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y5 @ Y6)) | (~ (Y4 @ Y7 @ Y5))) | (Y4 @ Y7 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y1 @ Y7 @ Y5) | (~ (Y1 @ Y6 @ Y5))) | (~ (Y1 @ Y7 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y1 @ Y6 @ Y5)))))))))))))))))) & (trsc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((Y1 = Y2) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y5 @ Y4))))))))))) | (Y3 @ Y2 @ Y1))))) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y5 @ Y4))) | (Y3 @ Y6 @ Y4))))))))))))))))))) & (confl = (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((((((((((~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y8)) | (Y7 @ Y10 @ Y8)) | (~ (Y7 @ Y10 @ Y9)))))))))) | (Y7 @ Y3 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y8 @ Y9) | (~ (Y0 @ Y8 @ Y9)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y4 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y10 @ Y8) | (~ (Y7 @ Y10 @ Y9))) | (~ (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8)))))))))))))))) | ((~ (Y5 = Y4)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y9)) | (~ (Y6 @ Y7 @ Y9)))))))))) | (Y6 @ Y5 @ Y4)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y7 @ Y8) | (~ (Y0 @ Y7 @ Y8)))))))))))))) | (Y1 @ Y4 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y2 @ Y7 @ Y6)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y1 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y1 @ Y8 @ Y6)) | (Y1 @ Y7 @ Y6)) | (~ (Y1 @ Y7 @ Y8))))))))))) | ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y8 @ Y7) | (~ (Y0 @ Y8 @ Y7)))))))) | (Y6 @ Y5 @ Y3)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y8 @ Y7) | (~ (Y6 @ Y9 @ Y7))) | (~ (Y6 @ Y8 @ Y9)))))))))))))) & (~ (Y5 = Y3)))) | (Y4 = Y3)) | (Y2 @ Y3 @ Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y7 @ Y6)) | (~ (Y2 @ Y8 @ Y7))) | (Y2 @ Y8 @ Y6)))))))))))))))))))))) & (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y2 @ Y3)))))))))) & (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y5 @ Y6))) | (Y3 @ Y5 @ Y4))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))))))))))) & (symm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (~ (Y0 @ Y1 @ Y2))))))))) & (total = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y2 @ Y1) | (Y2 = Y1)) | (Y0 @ Y1 @ Y2)))))))) & (norm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: (~ (Y0 @ Y3 @ Y4))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y6 @ Y5) | (~ (Y4 @ Y6 @ Y7))) | (~ (Y4 @ Y7 @ Y5))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5)))))))))))))))) | (~ (Y0 @ Y2 @ Y1))))))))) & ! [X255 : $i] : ? [X256 : d_unsorted] : ((d2unsorted @ X256) = X255) & (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1))) | (Y2 = Y1)))))))) & (trc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y6)) | (~ (Y3 @ Y5 @ Y4))) | (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))))) | (Y1 = Y2)))))))) & (refl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))))) & (infl = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y1 @ Y3 @ Y2) | (~ (Y1 @ Y3 @ Y2))))))))))) & (rc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y1 = Y2) | (Y0 @ Y1 @ Y2)))))))) & (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1))))))))) & (join = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y5 @ Y4) | (~ (Y3 @ Y5 @ Y6))) | (~ (Y3 @ Y6 @ Y4)))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4))))))))))) & (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y7 @ Y5))) | (Y4 @ Y6 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y5 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5))))))))) | (Y4 @ Y1 @ Y3))))))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y2 @ Y1) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y5 @ Y4)) | (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y6 @ Y5))))))))))))))) & (~ (Y1 = Y2)))))))))) & ! [X309 : d_unsorted] : (d_unsorted_0 = X309)),
10.55/2.09	  inference(fool_elimination,[status(thm)],[f5])).
10.55/2.09	thf(f5,plain,(
10.55/2.09	  (ind = (^[X0 : $i > $i > $o] : (! [X1 : $i,X2 : $i > $o] : (~! [X3 : $i] : ((X2 @ X3) | ~! [X4 : $i] : ((X2 @ X4) | ~! [X5 : $i > $i > $o] : (~! [X6 : $i,X7 : $i] : (~(X0 @ X7 @ X6) | (X5 @ X7 @ X6)) | ~! [X8 : $i,X9 : $i,X10 : $i] : ((X5 @ X8 @ X9) | ~(X5 @ X10 @ X9) | ~(X5 @ X8 @ X10)) | (X5 @ X3 @ X4)))) | (X2 @ X1))))) & ((^[X11 : $i > $i > $o] : (! [X12 : $i,X13 : $i,X14 : $i] : (~(X11 @ X14 @ X12) | ~(X11 @ X12 @ X13) | (X11 @ X14 @ X13)))) = trans) & (inv = (^[X15 : $i > $i > $o, X16 : $i, X17 : $i] : (X15 @ X17 @ X16))) & (irrefl = (^[X18 : $i > $i > $o] : (! [X19 : $i] : ~(X18 @ X19 @ X19)))) & (nfof = (^[X20 : $i > $i > $o, X21 : $i, X22 : $i] : (! [X23 : $i] : ~(X20 @ X21 @ X23) & (! [X24 : $i > $i > $o] : ((X24 @ X22 @ X21) | ~! [X25 : $i,X26 : $i,X27 : $i] : (~(X24 @ X25 @ X26) | ~(X24 @ X27 @ X25) | (X24 @ X27 @ X26)) | ~! [X28 : $i,X29 : $i] : ((X24 @ X29 @ X28) | ~(X20 @ X29 @ X28))) | (X21 = X22))))) & ! [X30 : d_unsorted,X31 : d_unsorted] : (((d2unsorted @ X31) = (d2unsorted @ X30)) => (X30 = X31)) & (innf = (^[X32 : $i > $i > $o, X33 : $i] : (! [X34 : $i] : ~(X32 @ X33 @ X34)))) & ((^[X35 : ($i > $i > $o) > $i > $i > $o] : (! [X36 : $i,X37 : $i,X38 : $i > $i > $o,X39 : $i > $i > $o] : (~(X35 @ X38 @ X37 @ X36) | (X35 @ X39 @ X37 @ X36) | ~! [X40 : $i,X41 : $i] : ((X39 @ X40 @ X41) | ~(X38 @ X40 @ X41))))) = mono) & (term = (^[X42 : $i > $i > $o] : (! [X43 : $i,X44 : $i > $o] : (~! [X45 : $i] : (~! [X46 : $i] : (~(X44 @ X46) | ~(X42 @ X45 @ X46)) | ~(X44 @ X45)) | ~(X44 @ X43))))) & ((^[X47 : ($i > $i > $o) > $i > $i > $o] : (! [X48 : $i > $i > $o] : ((X47 @ X48) = (X47 @ (X47 @ X48))))) = idem) & (sc = (^[X49 : $i > $i > $o, X50 : $i, X51 : $i] : ((X49 @ X50 @ X51) | (X49 @ X51 @ X50)))) & ((^[X52 : $i > $i > $o] : (! [X53 : $i > $i > $o,X54 : $i,X55 : $i > $i > $o,X56 : $i,X57 : $i] : ((X53 @ X54 @ X57) | ~! [X58 : $i,X59 : $i,X60 : $i] : (~(X55 @ X58 @ X60) | (X55 @ X58 @ X59) | ~(X55 @ X60 @ X59)) | ~! [X61 : $i] : (~! [X62 : $i > $i > $o] : (~! [X63 : $i,X64 : $i] : (~(X52 @ X64 @ X63) | (X62 @ X64 @ X63)) | (X62 @ X54 @ X61) | ~! [X65 : $i,X66 : $i,X67 : $i] : ((X62 @ X66 @ X65) | ~(X62 @ X67 @ X65) | ~(X62 @ X66 @ X67))) | ~! [X68 : $i > $i > $o] : ((X68 @ X57 @ X61) | ~! [X69 : $i,X70 : $i] : (~(X52 @ X69 @ X70) | (X68 @ X69 @ X70)) | ~! [X71 : $i,X72 : $i,X73 : $i] : (~(X68 @ X73 @ X72) | (X68 @ X73 @ X71) | ~(X68 @ X72 @ X71)))) | (~! [X74 : $i > $i > $o] : (~! [X75 : $i,X76 : $i,X77 : $i] : (~(X74 @ X75 @ X77) | (X74 @ X76 @ X77) | ~(X74 @ X76 @ X75)) | ~! [X78 : $i,X79 : $i] : (~(X52 @ X79 @ X78) | (X74 @ X79 @ X78)) | (X74 @ X56 @ X54)) & (X54 != X56)) | ~! [X80 : $i,X81 : $i] : ((X53 @ X80 @ X81) | ~(X52 @ X80 @ X81)) | ~! [X82 : $i,X83 : $i] : (~(X52 @ X83 @ X82) | (X55 @ X83 @ X82)) | ~! [X84 : $i,X85 : $i,X86 : $i] : (~(X53 @ X86 @ X84) | ~(X53 @ X84 @ X85) | (X53 @ X86 @ X85)) | (X55 @ X57 @ X54) | ~(X52 @ X56 @ X57) | (X54 = X57)))) = sconfl) & (lconfl = (^[X87 : $i > $i > $o] : (! [X88 : $i,X89 : $i,X90 : $i,X91 : $i > $i > $o,X92 : $i > $i > $o] : ((X91 @ X89 @ X88) | ~! [X93 : $i,X94 : $i] : (~(X87 @ X94 @ X93) | (X91 @ X94 @ X93)) | ~! [X95 : $i,X96 : $i] : ((X92 @ X96 @ X95) | ~(X87 @ X96 @ X95)) | (X88 = X89) | ~(X87 @ X90 @ X88) | (X92 @ X88 @ X89) | ~! [X97 : $i,X98 : $i,X99 : $i] : (~(X92 @ X98 @ X97) | ~(X92 @ X99 @ X98) | (X92 @ X99 @ X97)) | ~! [X100 : $i,X101 : $i,X102 : $i] : ((X91 @ X101 @ X100) | ~(X91 @ X102 @ X100) | ~(X91 @ X101 @ X102)) | ~(X87 @ X90 @ X89) | ~! [X103 : $i] : (~! [X104 : $i > $i > $o] : (~! [X105 : $i,X106 : $i,X107 : $i] : (~(X104 @ X105 @ X107) | (X104 @ X105 @ X106) | ~(X104 @ X107 @ X106)) | (X104 @ X88 @ X103) | ~! [X108 : $i,X109 : $i] : (~(X87 @ X109 @ X108) | (X104 @ X109 @ X108))) | ~! [X110 : $i > $i > $o] : (~! [X111 : $i,X112 : $i] : (~(X87 @ X111 @ X112) | (X110 @ X111 @ X112)) | (X110 @ X89 @ X103) | ~! [X113 : $i,X114 : $i,X115 : $i] : (~(X110 @ X115 @ X113) | (X110 @ X115 @ X114) | ~(X110 @ X113 @ X114)))))))) & (so = (^[X116 : $i > $i > $o] : (! [X117 : $i,X118 : $i] : (~(X116 @ X117 @ X118) | ~(X116 @ X118 @ X117)) & ! [X119 : $i,X120 : $i,X121 : $i] : ((X116 @ X121 @ X119) | ~(X116 @ X120 @ X119) | ~(X116 @ X121 @ X120))))) & ((^[X122 : $i > $i > $o] : (! [X123 : $i,X124 : $i,X125 : $i] : (~(X122 @ X124 @ X125) | ~(X122 @ X123 @ X124) | (X122 @ X123 @ X125)) & ! [X126 : $i,X127 : $i] : (~(X122 @ X126 @ X127) | ~(X122 @ X127 @ X126) | (X126 = X127)) & ! [X128 : $i] : (X122 @ X128 @ X128))) = po) & ((^[X129 : $i > $i > $o] : (! [X130 : $i > $i > $o,X131 : $i,X132 : $i,X133 : $i > $i > $o] : (~! [X134 : $i,X135 : $i] : ((X133 @ X134 @ X135) | ~(X129 @ X134 @ X135)) | ~! [X136 : $i,X137 : $i,X138 : $i] : (~(X133 @ X136 @ X137) | ~(X133 @ X137 @ X138) | (X133 @ X136 @ X138)) | ~! [X139 : $i,X140 : $i,X141 : $i] : ((X130 @ X139 @ X140) | ~(X130 @ X139 @ X141) | ~(X130 @ X141 @ X140)) | ~! [X142 : $i] : (~! [X143 : $i > $i > $o] : (~! [X144 : $i,X145 : $i,X146 : $i] : (~(X143 @ X146 @ X145) | ~(X143 @ X144 @ X146) | (X143 @ X144 @ X145)) | ~! [X147 : $i,X148 : $i] : (~(X129 @ X148 @ X147) | (X143 @ X148 @ X147)) | (X143 @ X131 @ X142)) | ~! [X149 : $i > $i > $o] : (~! [X150 : $i,X151 : $i] : ((X149 @ X151 @ X150) | ~(X129 @ X151 @ X150)) | ~! [X152 : $i,X153 : $i,X154 : $i] : (~(X149 @ X154 @ X152) | ~(X149 @ X152 @ X153) | (X149 @ X154 @ X153)) | (X149 @ X132 @ X142))) | (X130 @ X131 @ X132) | (X131 = X132) | (X133 @ X132 @ X131) | ~! [X155 : $i,X156 : $i] : (~(X129 @ X156 @ X155) | (X130 @ X156 @ X155)) | (~! [X157 : $i > $i > $o] : (~! [X158 : $i,X159 : $i,X160 : $i] : ((X157 @ X158 @ X159) | ~(X157 @ X158 @ X160) | ~(X157 @ X160 @ X159)) | ~! [X161 : $i,X162 : $i] : (~(X129 @ X162 @ X161) | (X157 @ X162 @ X161)) | (X157 @ X132 @ X131)) & (X131 != X132) & ~! [X163 : $i > $i > $o] : (~! [X164 : $i,X165 : $i,X166 : $i] : (~(X163 @ X165 @ X164) | (X163 @ X165 @ X166) | ~(X163 @ X164 @ X166)) | (X163 @ X131 @ X132) | ~! [X167 : $i,X168 : $i] : ((X163 @ X168 @ X167) | ~(X129 @ X168 @ X167))))))) = cr) & (trsc = (^[X169 : $i > $i > $o, X170 : $i, X171 : $i] : (! [X172 : $i > $i > $o] : (~! [X173 : $i,X174 : $i,X175 : $i] : ((X172 @ X173 @ X175) | ~(X172 @ X174 @ X175) | ~(X172 @ X173 @ X174)) | ~! [X176 : $i,X177 : $i] : (~(X169 @ X177 @ X176) | (X172 @ X177 @ X176)) | (X172 @ X170 @ X171)) | ! [X178 : $i > $i > $o] : ((X178 @ X171 @ X170) | ~! [X179 : $i,X180 : $i,X181 : $i] : (~(X178 @ X180 @ X181) | (X178 @ X179 @ X181) | ~(X178 @ X179 @ X180)) | ~! [X182 : $i,X183 : $i] : (~(X169 @ X182 @ X183) | (X178 @ X182 @ X183))) | (X170 = X171)))) & ((^[X184 : $i > $i > $o] : (! [X185 : $i,X186 : $i,X187 : $i,X188 : $i > $i > $o,X189 : $i > $i > $o] : (~! [X190 : $i,X191 : $i,X192 : $i] : ((X188 @ X190 @ X192) | ~(X188 @ X190 @ X191) | ~(X188 @ X191 @ X192)) | (X188 @ X187 @ X186) | (X186 = X187) | ((X185 != X187) & ~! [X193 : $i > $i > $o] : (~! [X194 : $i,X195 : $i,X196 : $i] : (~(X193 @ X195 @ X194) | ~(X193 @ X194 @ X196) | (X193 @ X195 @ X196)) | (X193 @ X185 @ X187) | ~! [X197 : $i,X198 : $i] : (~(X184 @ X197 @ X198) | (X193 @ X197 @ X198)))) | ~! [X199 : $i,X200 : $i,X201 : $i] : (~(X189 @ X200 @ X199) | (X189 @ X200 @ X201) | ~(X189 @ X199 @ X201)) | ~! [X202 : $i,X203 : $i] : ((X189 @ X203 @ X202) | ~(X184 @ X203 @ X202)) | ~! [X204 : $i,X205 : $i] : ((X188 @ X204 @ X205) | ~(X184 @ X204 @ X205)) | (X189 @ X186 @ X187) | (~! [X206 : $i > $i > $o] : (~! [X207 : $i,X208 : $i] : (~(X184 @ X208 @ X207) | (X206 @ X208 @ X207)) | (X206 @ X185 @ X186) | ~! [X209 : $i,X210 : $i,X211 : $i] : (~(X206 @ X211 @ X209) | (X206 @ X210 @ X209) | ~(X206 @ X210 @ X211))) & (X185 != X186)) | ~! [X212 : $i] : (~! [X213 : $i > $i > $o] : (~! [X214 : $i,X215 : $i] : (~(X184 @ X214 @ X215) | (X213 @ X214 @ X215)) | ~! [X216 : $i,X217 : $i,X218 : $i] : (~(X213 @ X217 @ X218) | ~(X213 @ X216 @ X217) | (X213 @ X216 @ X218)) | (X213 @ X186 @ X212)) | ~! [X219 : $i > $i > $o] : (~! [X220 : $i,X221 : $i] : (~(X184 @ X221 @ X220) | (X219 @ X221 @ X220)) | (X219 @ X187 @ X212) | ~! [X222 : $i,X223 : $i,X224 : $i] : (~(X219 @ X222 @ X223) | (X219 @ X222 @ X224) | ~(X219 @ X223 @ X224))))))) = confl) & (subrel = (^[X225 : $i > $i > $o, X226 : $i > $i > $o] : (! [X227 : $i,X228 : $i] : ((X226 @ X228 @ X227) | ~(X225 @ X228 @ X227))))) & ((^[X229 : $i > $i > $o, X230 : $i, X231 : $i] : (! [X232 : $i > $i > $o] : (~! [X233 : $i,X234 : $i] : (~(X229 @ X233 @ X234) | (X232 @ X233 @ X234)) | (X232 @ X230 @ X231) | ~! [X235 : $i,X236 : $i,X237 : $i] : ((X232 @ X236 @ X237) | ~(X232 @ X236 @ X235) | ~(X232 @ X235 @ X237))))) = tc) & (symm = (^[X238 : $i > $i > $o] : (! [X239 : $i,X240 : $i] : (~(X238 @ X240 @ X239) | (X238 @ X239 @ X240))))) & ((^[X241 : $i > $i > $o] : (! [X242 : $i,X243 : $i] : ((X241 @ X243 @ X242) | (X242 = X243) | (X241 @ X242 @ X243)))) = total) & (norm = (^[X244 : $i > $i > $o] : (! [X245 : $i,X246 : $i] : (~(X244 @ X245 @ X246) | ~! [X247 : $i] : (~! [X248 : $i > $i > $o] : (~! [X249 : $i,X250 : $i] : (~(X244 @ X249 @ X250) | (X248 @ X249 @ X250)) | ~! [X251 : $i,X252 : $i,X253 : $i] : (~(X248 @ X251 @ X253) | ~(X248 @ X252 @ X251) | (X248 @ X252 @ X253)) | (X248 @ X245 @ X247)) | ~! [X254 : $i] : ~(X244 @ X247 @ X254)))))) & ! [X255 : $i] : ? [X256 : d_unsorted] : ((d2unsorted @ X256) = X255) & (antisymm = (^[X257 : $i > $i > $o] : (! [X258 : $i,X259 : $i] : ((X258 = X259) | ~(X257 @ X258 @ X259) | ~(X257 @ X259 @ X258))))) & (trc = (^[X260 : $i > $i > $o, X261 : $i, X262 : $i] : ((X261 = X262) | ! [X263 : $i > $i > $o] : (~! [X264 : $i,X265 : $i] : ((X263 @ X265 @ X264) | ~(X260 @ X265 @ X264)) | ~! [X266 : $i,X267 : $i,X268 : $i] : ((X263 @ X267 @ X266) | ~(X263 @ X267 @ X268) | ~(X263 @ X268 @ X266)) | (X263 @ X261 @ X262))))) & ((^[X269 : $i > $i > $o] : (! [X270 : $i] : (X269 @ X270 @ X270))) = refl) & ((^[X271 : ($i > $i > $o) > $i > $i > $o] : (! [X272 : $i,X273 : $i,X274 : $i > $i > $o] : (~(X274 @ X272 @ X273) | (X271 @ X274 @ X272 @ X273)))) = infl) & (rc = (^[X275 : $i > $i > $o, X276 : $i, X277 : $i] : ((X275 @ X276 @ X277) | (X276 = X277)))) & ((^[X278 : $i > $i > $o] : (! [X279 : $i,X280 : $i] : (~(X278 @ X279 @ X280) | ~(X278 @ X280 @ X279)))) = asymm) & ((^[X281 : $i > $i > $o, X282 : $i, X283 : $i] : (~((X282 != X283) & ~! [X284 : $i > $i > $o] : (~! [X285 : $i,X286 : $i,X287 : $i] : (~(X284 @ X285 @ X286) | (X284 @ X285 @ X287) | ~(X284 @ X286 @ X287)) | ~! [X288 : $i,X289 : $i] : (~(X281 @ X288 @ X289) | (X284 @ X288 @ X289)) | (X284 @ X283 @ X282)) & ! [X290 : $i] : (~! [X291 : $i > $i > $o] : ((X291 @ X282 @ X290) | ~! [X292 : $i,X293 : $i] : (~(X281 @ X292 @ X293) | (X291 @ X292 @ X293)) | ~! [X294 : $i,X295 : $i,X296 : $i] : (~(X291 @ X296 @ X294) | (X291 @ X295 @ X294) | ~(X291 @ X295 @ X296))) | ~! [X297 : $i > $i > $o] : (~! [X298 : $i,X299 : $i] : (~(X281 @ X298 @ X299) | (X297 @ X298 @ X299)) | ~! [X300 : $i,X301 : $i,X302 : $i] : ((X297 @ X301 @ X302) | ~(X297 @ X300 @ X302) | ~(X297 @ X301 @ X300)) | (X297 @ X283 @ X290))) & ~! [X303 : $i > $i > $o] : (~! [X304 : $i,X305 : $i] : ((X303 @ X304 @ X305) | ~(X281 @ X304 @ X305)) | (X303 @ X282 @ X283) | ~! [X306 : $i,X307 : $i,X308 : $i] : (~(X303 @ X306 @ X308) | ~(X303 @ X307 @ X306) | (X303 @ X307 @ X308)))))) = join) & ! [X309 : d_unsorted] : (d_unsorted_0 = X309)),
10.55/2.09	  inference(rectify,[status(thm)],[f1])).
10.55/2.09	thf(f1,axiom,(
10.55/2.09	  (ind = (^[X2 : $i > $i > $o] : (! [X16 : $i,X15 : $i > $o] : (~! [X3 : $i] : ((X15 @ X3) | ~! [X4 : $i] : ((X15 @ X4) | ~! [X5 : $i > $i > $o] : (~! [X10 : $i,X9 : $i] : (~(X2 @ X9 @ X10) | (X5 @ X9 @ X10)) | ~! [X6 : $i,X8 : $i,X7 : $i] : ((X5 @ X6 @ X8) | ~(X5 @ X7 @ X8) | ~(X5 @ X6 @ X7)) | (X5 @ X3 @ X4)))) | (X15 @ X16))))) & ((^[X2 : $i > $i > $o] : (! [X4 : $i,X8 : $i,X3 : $i] : (~(X2 @ X3 @ X4) | ~(X2 @ X4 @ X8) | (X2 @ X3 @ X8)))) = trans) & (inv = (^[X2 : $i > $i > $o, X3 : $i, X4 : $i] : (X2 @ X4 @ X3))) & (irrefl = (^[X2 : $i > $i > $o] : (! [X3 : $i] : ~(X2 @ X3 @ X3)))) & (nfof = (^[X2 : $i > $i > $o, X3 : $i, X4 : $i] : (! [X32 : $i] : ~(X2 @ X3 @ X32) & (! [X5 : $i > $i > $o] : ((X5 @ X4 @ X3) | ~! [X7 : $i,X8 : $i,X6 : $i] : (~(X5 @ X7 @ X8) | ~(X5 @ X6 @ X7) | (X5 @ X6 @ X8)) | ~! [X10 : $i,X9 : $i] : ((X5 @ X9 @ X10) | ~(X2 @ X9 @ X10))) | (X3 = X4))))) & ! [X36 : d_unsorted,X37 : d_unsorted] : (((d2unsorted @ X36) = (d2unsorted @ X37)) => (X36 = X37)) & (innf = (^[X2 : $i > $i > $o, X3 : $i] : (! [X4 : $i] : ~(X2 @ X3 @ X4)))) & ((^[X33 : ($i > $i > $o) > $i > $i > $o] : (! [X35 : $i,X34 : $i,X2 : $i > $i > $o,X5 : $i > $i > $o] : (~(X33 @ X2 @ X34 @ X35) | (X33 @ X5 @ X34 @ X35) | ~! [X3 : $i,X4 : $i] : ((X5 @ X3 @ X4) | ~(X2 @ X3 @ X4))))) = mono) & (term = (^[X2 : $i > $i > $o] : (! [X14 : $i,X13 : $i > $o] : (~! [X3 : $i] : (~! [X4 : $i] : (~(X13 @ X4) | ~(X2 @ X3 @ X4)) | ~(X13 @ X3)) | ~(X13 @ X14))))) & ((^[X33 : ($i > $i > $o) > $i > $i > $o] : (! [X2 : $i > $i > $o] : ((X33 @ X2) = (X33 @ (X33 @ X2))))) = idem) & (sc = (^[X2 : $i > $i > $o, X3 : $i, X4 : $i] : ((X2 @ X3 @ X4) | (X2 @ X4 @ X3)))) & ((^[X2 : $i > $i > $o] : (! [X27 : $i > $i > $o,X4 : $i,X28 : $i > $i > $o,X3 : $i,X8 : $i] : ((X27 @ X4 @ X8) | ~! [X6 : $i,X19 : $i,X7 : $i] : (~(X28 @ X6 @ X7) | (X28 @ X6 @ X19) | ~(X28 @ X7 @ X19)) | ~! [X17 : $i] : (~! [X5 : $i > $i > $o] : (~! [X10 : $i,X9 : $i] : (~(X2 @ X9 @ X10) | (X5 @ X9 @ X10)) | (X5 @ X4 @ X17) | ~! [X18 : $i,X6 : $i,X7 : $i] : ((X5 @ X6 @ X18) | ~(X5 @ X7 @ X18) | ~(X5 @ X6 @ X7))) | ~! [X5 : $i > $i > $o] : ((X5 @ X8 @ X17) | ~! [X9 : $i,X10 : $i] : (~(X2 @ X9 @ X10) | (X5 @ X9 @ X10)) | ~! [X19 : $i,X7 : $i,X6 : $i] : (~(X5 @ X6 @ X7) | (X5 @ X6 @ X19) | ~(X5 @ X7 @ X19)))) | (~! [X5 : $i > $i > $o] : (~! [X7 : $i,X6 : $i,X29 : $i] : (~(X5 @ X7 @ X29) | (X5 @ X6 @ X29) | ~(X5 @ X6 @ X7)) | ~! [X10 : $i,X9 : $i] : (~(X2 @ X9 @ X10) | (X5 @ X9 @ X10)) | (X5 @ X3 @ X4)) & (X3 != X4)) | ~! [X9 : $i,X10 : $i] : ((X27 @ X9 @ X10) | ~(X2 @ X9 @ X10)) | ~! [X10 : $i,X9 : $i] : (~(X2 @ X9 @ X10) | (X28 @ X9 @ X10)) | ~! [X7 : $i,X18 : $i,X6 : $i] : (~(X27 @ X6 @ X7) | ~(X27 @ X7 @ X18) | (X27 @ X6 @ X18)) | (X28 @ X8 @ X4) | ~(X2 @ X3 @ X8) | (X4 = X8)))) = sconfl) & (lconfl = (^[X2 : $i > $i > $o] : (! [X8 : $i,X4 : $i,X3 : $i,X20 : $i > $i > $o,X21 : $i > $i > $o] : ((X20 @ X4 @ X8) | ~! [X10 : $i,X9 : $i] : (~(X2 @ X9 @ X10) | (X20 @ X9 @ X10)) | ~! [X10 : $i,X9 : $i] : ((X21 @ X9 @ X10) | ~(X2 @ X9 @ X10)) | (X4 = X8) | ~(X2 @ X3 @ X8) | (X21 @ X8 @ X4) | ~! [X19 : $i,X7 : $i,X6 : $i] : (~(X21 @ X7 @ X19) | ~(X21 @ X6 @ X7) | (X21 @ X6 @ X19)) | ~! [X18 : $i,X6 : $i,X7 : $i] : ((X20 @ X6 @ X18) | ~(X20 @ X7 @ X18) | ~(X20 @ X6 @ X7)) | ~(X2 @ X3 @ X4) | ~! [X17 : $i] : (~! [X5 : $i > $i > $o] : (~! [X6 : $i,X19 : $i,X7 : $i] : (~(X5 @ X6 @ X7) | (X5 @ X6 @ X19) | ~(X5 @ X7 @ X19)) | (X5 @ X8 @ X17) | ~! [X10 : $i,X9 : $i] : (~(X2 @ X9 @ X10) | (X5 @ X9 @ X10))) | ~! [X5 : $i > $i > $o] : (~! [X9 : $i,X10 : $i] : (~(X2 @ X9 @ X10) | (X5 @ X9 @ X10)) | (X5 @ X4 @ X17) | ~! [X7 : $i,X18 : $i,X6 : $i] : (~(X5 @ X6 @ X7) | (X5 @ X6 @ X18) | ~(X5 @ X7 @ X18)))))))) & (so = (^[X2 : $i > $i > $o] : (! [X3 : $i,X4 : $i] : (~(X2 @ X3 @ X4) | ~(X2 @ X4 @ X3)) & ! [X8 : $i,X4 : $i,X3 : $i] : ((X2 @ X3 @ X8) | ~(X2 @ X4 @ X8) | ~(X2 @ X3 @ X4))))) & ((^[X2 : $i > $i > $o] : (! [X3 : $i,X4 : $i,X8 : $i] : (~(X2 @ X4 @ X8) | ~(X2 @ X3 @ X4) | (X2 @ X3 @ X8)) & ! [X3 : $i,X4 : $i] : (~(X2 @ X3 @ X4) | ~(X2 @ X4 @ X3) | (X3 = X4)) & ! [X3 : $i] : (X2 @ X3 @ X3))) = po) & ((^[X2 : $i > $i > $o] : (! [X26 : $i > $i > $o,X3 : $i,X4 : $i,X25 : $i > $i > $o] : (~! [X9 : $i,X10 : $i] : ((X25 @ X9 @ X10) | ~(X2 @ X9 @ X10)) | ~! [X6 : $i,X7 : $i,X18 : $i] : (~(X25 @ X6 @ X7) | ~(X25 @ X7 @ X18) | (X25 @ X6 @ X18)) | ~! [X6 : $i,X19 : $i,X7 : $i] : ((X26 @ X6 @ X19) | ~(X26 @ X6 @ X7) | ~(X26 @ X7 @ X19)) | ~! [X17 : $i] : (~! [X5 : $i > $i > $o] : (~! [X6 : $i,X19 : $i,X7 : $i] : (~(X5 @ X7 @ X19) | ~(X5 @ X6 @ X7) | (X5 @ X6 @ X19)) | ~! [X10 : $i,X9 : $i] : (~(X2 @ X9 @ X10) | (X5 @ X9 @ X10)) | (X5 @ X3 @ X17)) | ~! [X5 : $i > $i > $o] : (~! [X10 : $i,X9 : $i] : ((X5 @ X9 @ X10) | ~(X2 @ X9 @ X10)) | ~! [X7 : $i,X18 : $i,X6 : $i] : (~(X5 @ X6 @ X7) | ~(X5 @ X7 @ X18) | (X5 @ X6 @ X18)) | (X5 @ X4 @ X17))) | (X26 @ X3 @ X4) | (X3 = X4) | (X25 @ X4 @ X3) | ~! [X10 : $i,X9 : $i] : (~(X2 @ X9 @ X10) | (X26 @ X9 @ X10)) | (~! [X5 : $i > $i > $o] : (~! [X6 : $i,X8 : $i,X7 : $i] : ((X5 @ X6 @ X8) | ~(X5 @ X6 @ X7) | ~(X5 @ X7 @ X8)) | ~! [X10 : $i,X9 : $i] : (~(X2 @ X9 @ X10) | (X5 @ X9 @ X10)) | (X5 @ X4 @ X3)) & (X3 != X4) & ~! [X5 : $i > $i > $o] : (~! [X7 : $i,X6 : $i,X8 : $i] : (~(X5 @ X6 @ X7) | (X5 @ X6 @ X8) | ~(X5 @ X7 @ X8)) | (X5 @ X3 @ X4) | ~! [X10 : $i,X9 : $i] : ((X5 @ X9 @ X10) | ~(X2 @ X9 @ X10))))))) = cr) & (trsc = (^[X2 : $i > $i > $o, X11 : $i, X12 : $i] : (! [X5 : $i > $i > $o] : (~! [X6 : $i,X7 : $i,X8 : $i] : ((X5 @ X6 @ X8) | ~(X5 @ X7 @ X8) | ~(X5 @ X6 @ X7)) | ~! [X10 : $i,X9 : $i] : (~(X2 @ X9 @ X10) | (X5 @ X9 @ X10)) | (X5 @ X11 @ X12)) | ! [X5 : $i > $i > $o] : ((X5 @ X12 @ X11) | ~! [X6 : $i,X7 : $i,X8 : $i] : (~(X5 @ X7 @ X8) | (X5 @ X6 @ X8) | ~(X5 @ X6 @ X7)) | ~! [X9 : $i,X10 : $i] : (~(X2 @ X9 @ X10) | (X5 @ X9 @ X10))) | (X11 = X12)))) & ((^[X2 : $i > $i > $o] : (! [X3 : $i,X4 : $i,X8 : $i,X23 : $i > $i > $o,X22 : $i > $i > $o] : (~! [X6 : $i,X7 : $i,X19 : $i] : ((X23 @ X6 @ X19) | ~(X23 @ X6 @ X7) | ~(X23 @ X7 @ X19)) | (X23 @ X8 @ X4) | (X4 = X8) | ((X3 != X8) & ~! [X5 : $i > $i > $o] : (~! [X7 : $i,X6 : $i,X19 : $i] : (~(X5 @ X6 @ X7) | ~(X5 @ X7 @ X19) | (X5 @ X6 @ X19)) | (X5 @ X3 @ X8) | ~! [X9 : $i,X10 : $i] : (~(X2 @ X9 @ X10) | (X5 @ X9 @ X10)))) | ~! [X7 : $i,X6 : $i,X18 : $i] : (~(X22 @ X6 @ X7) | (X22 @ X6 @ X18) | ~(X22 @ X7 @ X18)) | ~! [X10 : $i,X9 : $i] : ((X22 @ X9 @ X10) | ~(X2 @ X9 @ X10)) | ~! [X9 : $i,X10 : $i] : ((X23 @ X9 @ X10) | ~(X2 @ X9 @ X10)) | (X22 @ X4 @ X8) | (~! [X5 : $i > $i > $o] : (~! [X10 : $i,X9 : $i] : (~(X2 @ X9 @ X10) | (X5 @ X9 @ X10)) | (X5 @ X3 @ X4) | ~! [X24 : $i,X6 : $i,X7 : $i] : (~(X5 @ X7 @ X24) | (X5 @ X6 @ X24) | ~(X5 @ X6 @ X7))) & (X3 != X4)) | ~! [X17 : $i] : (~! [X5 : $i > $i > $o] : (~! [X9 : $i,X10 : $i] : (~(X2 @ X9 @ X10) | (X5 @ X9 @ X10)) | ~! [X6 : $i,X7 : $i,X18 : $i] : (~(X5 @ X7 @ X18) | ~(X5 @ X6 @ X7) | (X5 @ X6 @ X18)) | (X5 @ X4 @ X17)) | ~! [X5 : $i > $i > $o] : (~! [X10 : $i,X9 : $i] : (~(X2 @ X9 @ X10) | (X5 @ X9 @ X10)) | (X5 @ X8 @ X17) | ~! [X6 : $i,X7 : $i,X19 : $i] : (~(X5 @ X6 @ X7) | (X5 @ X6 @ X19) | ~(X5 @ X7 @ X19))))))) = confl) & (subrel = (^[X2 : $i > $i > $o, X5 : $i > $i > $o] : (! [X4 : $i,X3 : $i] : ((X5 @ X3 @ X4) | ~(X2 @ X3 @ X4))))) & ((^[X2 : $i > $i > $o, X3 : $i, X4 : $i] : (! [X5 : $i > $i > $o] : (~! [X9 : $i,X10 : $i] : (~(X2 @ X9 @ X10) | (X5 @ X9 @ X10)) | (X5 @ X3 @ X4) | ~! [X7 : $i,X6 : $i,X8 : $i] : ((X5 @ X6 @ X8) | ~(X5 @ X6 @ X7) | ~(X5 @ X7 @ X8))))) = tc) & (symm = (^[X2 : $i > $i > $o] : (! [X4 : $i,X3 : $i] : (~(X2 @ X3 @ X4) | (X2 @ X4 @ X3))))) & ((^[X2 : $i > $i > $o] : (! [X4 : $i,X3 : $i] : ((X2 @ X3 @ X4) | (X3 = X4) | (X2 @ X4 @ X3)))) = total) & (norm = (^[X2 : $i > $i > $o] : (! [X3 : $i,X30 : $i] : (~(X2 @ X3 @ X30) | ~! [X31 : $i] : (~! [X5 : $i > $i > $o] : (~! [X9 : $i,X10 : $i] : (~(X2 @ X9 @ X10) | (X5 @ X9 @ X10)) | ~! [X7 : $i,X6 : $i,X8 : $i] : (~(X5 @ X7 @ X8) | ~(X5 @ X6 @ X7) | (X5 @ X6 @ X8)) | (X5 @ X3 @ X31)) | ~! [X32 : $i] : ~(X2 @ X31 @ X32)))))) & ! [X0 : $i] : ? [X1 : d_unsorted] : ((d2unsorted @ X1) = X0) & (antisymm = (^[X2 : $i > $i > $o] : (! [X3 : $i,X4 : $i] : ((X3 = X4) | ~(X2 @ X3 @ X4) | ~(X2 @ X4 @ X3))))) & (trc = (^[X2 : $i > $i > $o, X11 : $i, X12 : $i] : ((X11 = X12) | ! [X5 : $i > $i > $o] : (~! [X10 : $i,X9 : $i] : ((X5 @ X9 @ X10) | ~(X2 @ X9 @ X10)) | ~! [X8 : $i,X6 : $i,X7 : $i] : ((X5 @ X6 @ X8) | ~(X5 @ X6 @ X7) | ~(X5 @ X7 @ X8)) | (X5 @ X11 @ X12))))) & ((^[X2 : $i > $i > $o] : (! [X3 : $i] : (X2 @ X3 @ X3))) = refl) & ((^[X33 : ($i > $i > $o) > $i > $i > $o] : (! [X3 : $i,X4 : $i,X2 : $i > $i > $o] : (~(X2 @ X3 @ X4) | (X33 @ X2 @ X3 @ X4)))) = infl) & (rc = (^[X2 : $i > $i > $o, X3 : $i, X4 : $i] : ((X2 @ X3 @ X4) | (X3 = X4)))) & ((^[X2 : $i > $i > $o] : (! [X3 : $i,X4 : $i] : (~(X2 @ X3 @ X4) | ~(X2 @ X4 @ X3)))) = asymm) & ((^[X2 : $i > $i > $o, X3 : $i, X4 : $i] : (~((X3 != X4) & ~! [X5 : $i > $i > $o] : (~! [X6 : $i,X7 : $i,X18 : $i] : (~(X5 @ X6 @ X7) | (X5 @ X6 @ X18) | ~(X5 @ X7 @ X18)) | ~! [X9 : $i,X10 : $i] : (~(X2 @ X9 @ X10) | (X5 @ X9 @ X10)) | (X5 @ X4 @ X3)) & ! [X17 : $i] : (~! [X5 : $i > $i > $o] : ((X5 @ X3 @ X17) | ~! [X9 : $i,X10 : $i] : (~(X2 @ X9 @ X10) | (X5 @ X9 @ X10)) | ~! [X19 : $i,X6 : $i,X7 : $i] : (~(X5 @ X7 @ X19) | (X5 @ X6 @ X19) | ~(X5 @ X6 @ X7))) | ~! [X5 : $i > $i > $o] : (~! [X9 : $i,X10 : $i] : (~(X2 @ X9 @ X10) | (X5 @ X9 @ X10)) | ~! [X7 : $i,X6 : $i,X18 : $i] : ((X5 @ X6 @ X18) | ~(X5 @ X7 @ X18) | ~(X5 @ X6 @ X7)) | (X5 @ X4 @ X17))) & ~! [X5 : $i > $i > $o] : (~! [X9 : $i,X10 : $i] : ((X5 @ X9 @ X10) | ~(X2 @ X9 @ X10)) | (X5 @ X3 @ X4) | ~! [X7 : $i,X6 : $i,X19 : $i] : (~(X5 @ X7 @ X19) | ~(X5 @ X6 @ X7) | (X5 @ X6 @ X19)))))) = join) & ! [X1 : d_unsorted] : (d_unsorted_0 = X1)),
10.55/2.09	  file('/export/starexec/sandbox2/tmp/tmp.Vw5JLscukc/E---3.1_3627128.p',sev441_1)).
10.55/2.09	thf(f40,plain,(
10.55/2.09	  ( ! [X0 : $i] : (((d2unsorted @ (sK0 @ X0)) = X0)) )),
10.55/2.09	  inference(cnf_transformation,[status(thm)],[f14])).
10.55/2.09	thf(f255,plain,(
10.55/2.09	  (sK4 != sK5)),
10.55/2.09	  inference(equality_proxy_clausification,[status(thm)],[f254])).
10.55/2.09	thf(f254,plain,(
10.55/2.09	  ((sK4 = sK5) = $false)),
10.55/2.09	  inference(duplicate_literal_removal,[status(thm)],[f253])).
10.55/2.09	thf(f253,plain,(
10.55/2.09	  ((sK4 = sK5) = $false) | ((sK4 = sK5) = $false)),
10.55/2.09	  inference(binary_proxy_clausification,[status(thm)],[f251])).
10.55/2.09	thf(f251,plain,(
10.55/2.09	  ($false = ((sK4 = sK5) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (~ (sK3 @ Y2 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y2)) | (Y0 @ Y3 @ Y1)) | (~ (Y0 @ Y2 @ Y1))))))))))) | (Y0 @ sK5 @ sK4)))))) | ((sK4 = sK5) = $false)),
10.55/2.09	  inference(binary_proxy_clausification,[status(thm)],[f70])).
10.55/2.09	thf(f70,plain,(
10.55/2.09	  (((sK4 = sK5) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y1)) | (~ (Y0 @ Y2 @ Y3))) | (Y0 @ Y2 @ Y1))))))))) | (Y0 @ sK4 @ sK5)) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (~ (sK3 @ Y2 @ Y1)))))))))))) = $false) | ($false = ((sK4 = sK5) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (~ (sK3 @ Y2 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y2)) | (Y0 @ Y3 @ Y1)) | (~ (Y0 @ Y2 @ Y1))))))))))) | (Y0 @ sK5 @ sK4))))))),
10.55/2.09	  inference(binary_proxy_clausification,[status(thm)],[f69])).
10.55/2.09	thf(f69,plain,(
10.55/2.09	  ((((sK5 = sK4) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y1)) | (~ (Y0 @ Y2 @ Y3))) | (Y0 @ Y2 @ Y1))))))))) | (Y0 @ sK5 @ sK4)) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (~ (sK3 @ Y2 @ Y1)))))))))))) | ((sK4 = sK5) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y1)) | (~ (Y0 @ Y2 @ Y3))) | (Y0 @ Y2 @ Y1))))))))) | (Y0 @ sK4 @ sK5)) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (~ (sK3 @ Y2 @ Y1))))))))))))) = $false) | ($false = ((sK4 = sK5) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (~ (sK3 @ Y2 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y2)) | (Y0 @ Y3 @ Y1)) | (~ (Y0 @ Y2 @ Y1))))))))))) | (Y0 @ sK5 @ sK4))))))),
10.55/2.09	  inference(binary_proxy_clausification,[status(thm)],[f67])).
10.55/2.09	thf(f67,plain,(
10.55/2.09	  ((((sK4 = sK5) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (~ (sK3 @ Y2 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y2)) | (Y0 @ Y3 @ Y1)) | (~ (Y0 @ Y2 @ Y1))))))))))) | (Y0 @ sK5 @ sK4))))) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((Y0 @ sK4 @ sK5) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (~ (sK3 @ Y1 @ Y2))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y2)) | (~ (Y0 @ Y2 @ Y1))) | (Y0 @ Y3 @ Y1))))))))))))) = $false) | ((((sK5 = sK4) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y1)) | (~ (Y0 @ Y2 @ Y3))) | (Y0 @ Y2 @ Y1))))))))) | (Y0 @ sK5 @ sK4)) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (~ (sK3 @ Y2 @ Y1)))))))))))) | ((sK4 = sK5) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y1)) | (~ (Y0 @ Y2 @ Y3))) | (Y0 @ Y2 @ Y1))))))))) | (Y0 @ sK4 @ sK5)) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (~ (sK3 @ Y2 @ Y1))))))))))))) = $false)),
10.55/2.09	  inference(binary_proxy_clausification,[status(thm)],[f65])).
10.55/2.09	thf(f65,plain,(
10.55/2.09	  ((((sK5 = sK4) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y1)) | (~ (Y0 @ Y2 @ Y3))) | (Y0 @ Y2 @ Y1))))))))) | (Y0 @ sK5 @ sK4)) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (~ (sK3 @ Y2 @ Y1)))))))))))) | ((sK4 = sK5) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y1)) | (~ (Y0 @ Y2 @ Y3))) | (Y0 @ Y2 @ Y1))))))))) | (Y0 @ sK4 @ sK5)) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (~ (sK3 @ Y2 @ Y1))))))))))))) != (((sK4 = sK5) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (~ (sK3 @ Y2 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y2)) | (Y0 @ Y3 @ Y1)) | (~ (Y0 @ Y2 @ Y1))))))))))) | (Y0 @ sK5 @ sK4))))) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((Y0 @ sK4 @ sK5) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (~ (sK3 @ Y1 @ Y2))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y2)) | (~ (Y0 @ Y2 @ Y1))) | (Y0 @ Y3 @ Y1))))))))))))))),
10.55/2.09	  inference(beta_eta_normalization,[status(thm)],[f64])).
10.55/2.09	thf(f64,plain,(
10.55/2.09	  (((^[Y0 : $i]: (((sK4 = Y0) | (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) | (~ (sK3 @ Y3 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y3)) | (Y1 @ Y4 @ Y2)) | (~ (Y1 @ Y3 @ Y2))))))))))) | (Y1 @ Y0 @ sK4))))) | (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((Y1 @ sK4 @ Y0) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y2 @ Y3) | (~ (sK3 @ Y2 @ Y3))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y3)) | (~ (Y1 @ Y3 @ Y2))) | (Y1 @ Y4 @ Y2)))))))))))))) @ sK5) != ((^[Y0 : $i]: (((Y0 = sK4) | (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y2)) | (~ (Y1 @ Y3 @ Y4))) | (Y1 @ Y3 @ Y2))))))))) | (Y1 @ Y0 @ sK4)) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) | (~ (sK3 @ Y3 @ Y2)))))))))))) | ((sK4 = Y0) | (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y2)) | (~ (Y1 @ Y3 @ Y4))) | (Y1 @ Y3 @ Y2))))))))) | (Y1 @ sK4 @ Y0)) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) | (~ (sK3 @ Y3 @ Y2)))))))))))))) @ sK5))),
10.55/2.09	  inference(negative_extensionality,[status(thm)],[f63])).
10.55/2.09	thf(f63,plain,(
10.55/2.09	  ((^[Y0 : $i]: (((sK4 = Y0) | (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) | (~ (sK3 @ Y3 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y3)) | (Y1 @ Y4 @ Y2)) | (~ (Y1 @ Y3 @ Y2))))))))))) | (Y1 @ Y0 @ sK4))))) | (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((Y1 @ sK4 @ Y0) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y2 @ Y3) | (~ (sK3 @ Y2 @ Y3))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y3)) | (~ (Y1 @ Y3 @ Y2))) | (Y1 @ Y4 @ Y2)))))))))))))) != (^[Y0 : $i]: (((Y0 = sK4) | (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y2)) | (~ (Y1 @ Y3 @ Y4))) | (Y1 @ Y3 @ Y2))))))))) | (Y1 @ Y0 @ sK4)) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) | (~ (sK3 @ Y3 @ Y2)))))))))))) | ((sK4 = Y0) | (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y2)) | (~ (Y1 @ Y3 @ Y4))) | (Y1 @ Y3 @ Y2))))))))) | (Y1 @ sK4 @ Y0)) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) | (~ (sK3 @ Y3 @ Y2)))))))))))))))),
10.55/2.09	  inference(beta_eta_normalization,[status(thm)],[f62])).
10.55/2.09	thf(f62,plain,(
10.55/2.09	  (((^[Y0 : $i]: ((^[Y1 : $i]: (((Y0 = Y1) | (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) | (~ (sK3 @ Y4 @ Y3)))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y5 @ Y4)) | (Y2 @ Y5 @ Y3)) | (~ (Y2 @ Y4 @ Y3))))))))))) | (Y2 @ Y1 @ Y0))))) | (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ Y0 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y3 @ Y4) | (~ (sK3 @ Y3 @ Y4))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y5 @ Y4)) | (~ (Y2 @ Y4 @ Y3))) | (Y2 @ Y5 @ Y3)))))))))))))))) @ sK4) != ((^[Y0 : $i]: ((^[Y1 : $i]: (((Y1 = Y0) | (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y5 @ Y3)) | (~ (Y2 @ Y4 @ Y5))) | (Y2 @ Y4 @ Y3))))))))) | (Y2 @ Y1 @ Y0)) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) | (~ (sK3 @ Y4 @ Y3)))))))))))) | ((Y0 = Y1) | (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y5 @ Y3)) | (~ (Y2 @ Y4 @ Y5))) | (Y2 @ Y4 @ Y3))))))))) | (Y2 @ Y0 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) | (~ (sK3 @ Y4 @ Y3)))))))))))))))) @ sK4))),
10.55/2.09	  inference(negative_extensionality,[status(thm)],[f61])).
10.55/2.09	thf(f61,plain,(
10.55/2.09	  ((^[Y0 : $i]: ((^[Y1 : $i]: (((Y1 = Y0) | (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y5 @ Y3)) | (~ (Y2 @ Y4 @ Y5))) | (Y2 @ Y4 @ Y3))))))))) | (Y2 @ Y1 @ Y0)) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) | (~ (sK3 @ Y4 @ Y3)))))))))))) | ((Y0 = Y1) | (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y5 @ Y3)) | (~ (Y2 @ Y4 @ Y5))) | (Y2 @ Y4 @ Y3))))))))) | (Y2 @ Y0 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) | (~ (sK3 @ Y4 @ Y3)))))))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (((Y0 = Y1) | (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) | (~ (sK3 @ Y4 @ Y3)))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y5 @ Y4)) | (Y2 @ Y5 @ Y3)) | (~ (Y2 @ Y4 @ Y3))))))))))) | (Y2 @ Y1 @ Y0))))) | (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ Y0 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y3 @ Y4) | (~ (sK3 @ Y3 @ Y4))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y5 @ Y4)) | (~ (Y2 @ Y4 @ Y3))) | (Y2 @ Y5 @ Y3)))))))))))))))))),
10.55/2.09	  inference(beta_eta_normalization,[status(thm)],[f60])).
10.55/2.09	thf(f60,plain,(
10.55/2.09	  (((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((Y1 = Y2) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y5 @ Y4))))))))))) | (Y3 @ Y2 @ Y1))))) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y5 @ Y4))) | (Y3 @ Y6 @ Y4)))))))))))))))))) @ sK3) != ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((Y2 = Y1) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y5 @ Y6))) | (Y3 @ Y5 @ Y4))))))))) | (Y3 @ Y2 @ Y1)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4)))))))))))) | ((Y1 = Y2) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y5 @ Y6))) | (Y3 @ Y5 @ Y4))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4)))))))))))))))))) @ sK3))),
10.55/2.09	  inference(negative_extensionality,[status(thm)],[f49])).
10.55/2.09	thf(f49,plain,(
10.55/2.09	  ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((Y2 = Y1) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y5 @ Y6))) | (Y3 @ Y5 @ Y4))))))))) | (Y3 @ Y2 @ Y1)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4)))))))))))) | ((Y1 = Y2) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y5 @ Y6))) | (Y3 @ Y5 @ Y4))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4)))))))))))))))))) != (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((Y1 = Y2) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y5 @ Y4))))))))))) | (Y3 @ Y2 @ Y1))))) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y5 @ Y4))) | (Y3 @ Y6 @ Y4)))))))))))))))))))),
10.55/2.09	  inference(beta_eta_normalization,[status(thm)],[f48])).
10.55/2.09	thf(f48,plain,(
10.55/2.09	  ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((Y1 @ Y3 @ Y2) | (Y1 @ Y2 @ Y3))))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((Y2 = Y3) | (Y1 @ Y2 @ Y3))))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y5)) | (~ (Y4 @ Y6 @ Y7))) | (Y4 @ Y6 @ Y5))))))))) | (Y4 @ Y2 @ Y3)) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (Y1 @ Y6 @ Y5)))))))))))))))) @ Y0)))) != (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((Y1 = Y2) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y5 @ Y4))))))))))) | (Y3 @ Y2 @ Y1))))) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y5 @ Y4))) | (Y3 @ Y6 @ Y4)))))))))))))))))))),
10.55/2.09	  inference(definition_unfolding,[status(thm)],[f15,f41,f21,f31,f30])).
10.55/2.09	thf(f30,plain,(
10.55/2.09	  (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y5 @ Y6))) | (Y3 @ Y5 @ Y4))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4)))))))))))))))))),
10.55/2.09	  inference(cnf_transformation,[status(thm)],[f14])).
10.55/2.09	thf(f31,plain,(
10.55/2.09	  (rc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y1 = Y2) | (Y0 @ Y1 @ Y2))))))))),
10.55/2.09	  inference(cnf_transformation,[status(thm)],[f14])).
10.55/2.09	thf(f21,plain,(
10.55/2.09	  (sc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2))))))))),
10.55/2.09	  inference(cnf_transformation,[status(thm)],[f14])).
10.55/2.09	thf(f41,plain,(
10.55/2.09	  (trsc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((Y1 = Y2) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y5 @ Y4))))))))))) | (Y3 @ Y2 @ Y1))))) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y5 @ Y4))) | (Y3 @ Y6 @ Y4)))))))))))))))))))),
10.55/2.09	  inference(cnf_transformation,[status(thm)],[f14])).
10.55/2.09	thf(f15,plain,(
10.55/2.09	  (trsc != (^[Y0 : $i > $i > $o]: (sc @ (rc @ (tc @ Y0)))))),
10.55/2.09	  inference(cnf_transformation,[status(thm)],[f9])).
10.55/2.09	thf(f9,plain,(
10.55/2.09	  (trsc != (^[Y0 : $i > $i > $o]: (sc @ (rc @ (tc @ Y0)))))),
10.55/2.09	  inference(flattening,[status(thm)],[f8])).
10.55/2.09	thf(f8,plain,(
10.55/2.09	  ~(trsc = (^[Y0 : $i > $i > $o]: (sc @ (rc @ (tc @ Y0)))))),
10.55/2.09	  inference(fool_elimination,[status(thm)],[f7])).
10.55/2.09	thf(f7,plain,(
10.55/2.09	  ~((^[X0 : $i > $i > $o] : (sc @ (rc @ (tc @ X0)))) = trsc)),
10.55/2.09	  inference(rectify,[status(thm)],[f3])).
10.55/2.09	thf(f3,negated_conjecture,(
10.55/2.09	  ~((^[X2 : $i > $i > $o] : (sc @ (rc @ (tc @ X2)))) = trsc)),
10.55/2.09	  inference(negated_conjecture,[status(cth)],[f2])).
10.55/2.09	thf(f2,conjecture,(
10.55/2.09	  ((^[X2 : $i > $i > $o] : (sc @ (rc @ (tc @ X2)))) = trsc)),
10.55/2.09	  file('/export/starexec/sandbox2/tmp/tmp.Vw5JLscukc/E---3.1_3627128.p',transitive_reflexive_symmetric_closure)).
10.55/2.09	% SZS output end Proof for E---3.1_3627128
10.55/2.09	% (3627219)------------------------------
10.55/2.09	% (3627219)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
10.55/2.09	% (3627219)Termination reason: Refutation
10.55/2.09	
10.55/2.09	% (3627219)Memory used [KB]: 10746
10.55/2.09	% (3627219)Time elapsed: 0.899 s
10.55/2.09	% (3627219)Instructions burned: 927 (million)
10.55/2.09	% (3627219)------------------------------
10.55/2.09	% (3627219)------------------------------
10.55/2.09	% (3627171)Success in time 1.612 s
10.55/2.10	EOF