0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : run_vampire %s %d THM 0.14/0.40 % Computer : n018.cluster.edu 0.14/0.40 % Model : x86_64 x86_64 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.40 % Memory : 8046.5625MB 0.14/0.40 % OS : Linux 6.8.0-71-generic 0.14/0.40 % CPULimit : 1440 0.14/0.40 % WCLimit : 180 0.14/0.40 % DateTime : Mon Jul 27 12:52:08 UTC 2026 0.14/0.40 % CPUTime : 0.19/0.45 This is a THF_ problem 0.19/0.45 Running higher-order theorem proving 0.19/0.49 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.lW4aQUS7Rw/E---3.1_1324435.p -m 16384 -t 180 0.29/0.54 % (1324508)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_1324435 for (1799ds/27Mi) 0.29/0.56 % (1324508)Instruction limit reached! 0.29/0.56 % (1324508)------------------------------ 0.29/0.56 % (1324508)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.29/0.56 % (1324508)Termination reason: Unknown 0.29/0.56 % (1324508)Termination phase: Preprocessing 3 0.29/0.56 0.29/0.56 % (1324508)Memory used [KB]: 1535 0.29/0.56 % (1324508)Time elapsed: 0.015 s 0.29/0.56 % (1324508)Instructions burned: 28 (million) 0.29/0.56 % (1324508)------------------------------ 0.29/0.56 % (1324508)------------------------------ 0.29/0.56 % (1324506)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_1324435 for (1799ds/183Mi) 0.29/0.56 % (1324507)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_1324435 for (1799ds/4Mi) 0.29/0.56 % (1324510)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_1324435 for (1799ds/2Mi) 0.29/0.56 % (1324509)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_1324435 for (1799ds/2Mi) 0.29/0.56 % (1324511)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_1324435 for (1799ds/275Mi) 0.29/0.56 % (1324510)Instruction limit reached! 0.29/0.56 % (1324510)------------------------------ 0.29/0.56 % (1324510)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.29/0.56 % (1324510)Termination reason: Unknown 0.29/0.56 % (1324510)Termination phase: shuffling 0.29/0.56 0.29/0.56 % (1324510)Memory used [KB]: 1023 0.29/0.56 % (1324510)Time elapsed: 0.004 s 0.29/0.56 % (1324510)Instructions burned: 2 (million) 0.29/0.56 % (1324510)------------------------------ 0.29/0.56 % (1324510)------------------------------ 0.29/0.56 % (1324509)Instruction limit reached! 0.29/0.56 % (1324509)------------------------------ 0.29/0.56 % (1324509)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.29/0.56 % (1324509)Termination reason: Unknown 0.29/0.56 % (1324509)Termination phase: shuffling 0.29/0.56 0.29/0.56 % (1324509)Memory used [KB]: 1023 0.29/0.56 % (1324509)Time elapsed: 0.005 s 0.29/0.56 % (1324509)Instructions burned: 2 (million) 0.29/0.56 % (1324509)------------------------------ 0.29/0.56 % (1324509)------------------------------ 0.29/0.56 % (1324507)Instruction limit reached! 0.29/0.56 % (1324507)------------------------------ 0.29/0.56 % (1324507)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.29/0.56 % (1324507)Termination reason: Unknown 0.29/0.56 % (1324507)Termination phase: shuffling 0.29/0.56 0.29/0.56 % (1324507)Memory used [KB]: 1151 0.29/0.56 % (1324507)Time elapsed: 0.006 s 0.29/0.56 % (1324507)Instructions burned: 4 (million) 0.29/0.56 % (1324507)------------------------------ 0.29/0.56 % (1324507)------------------------------ 0.29/0.56 % (1324512)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_1324435 for (1799ds/18Mi) 0.29/0.57 % (1324517)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_1324435 for (1799ds/3Mi) 0.29/0.57 % (1324517)Instruction limit reached! 0.29/0.57 % (1324517)------------------------------ 0.29/0.57 % (1324517)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.29/0.57 % (1324517)Termination reason: Unknown 0.29/0.57 % (1324517)Termination phase: shuffling 0.29/0.57 0.29/0.57 % (1324517)Memory used [KB]: 1151 0.29/0.57 % (1324517)Time elapsed: 0.004 s 0.29/0.57 % (1324517)Instructions burned: 4 (million) 0.29/0.57 % (1324517)------------------------------ 0.29/0.57 % (1324517)------------------------------ 0.29/0.58 % (1324512)Instruction limit reached! 0.29/0.58 % (1324512)------------------------------ 0.29/0.58 % (1324512)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.29/0.58 % (1324512)Termination reason: Unknown 0.29/0.58 % (1324512)Termination phase: Property scanning 0.29/0.58 0.29/0.58 % (1324512)Memory used [KB]: 1535 0.29/0.58 % (1324512)Time elapsed: 0.019 s 0.29/0.58 % (1324512)Instructions burned: 19 (million) 0.29/0.58 % (1324512)------------------------------ 0.29/0.58 % (1324512)------------------------------ 0.29/0.59 % (1324519)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_1324435 for (1799ds/15Mi) 0.29/0.59 % (1324518)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_1324435 for (1799ds/37Mi) 0.29/0.59 % (1324520)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_1324435 for (1799ds/3Mi) 0.29/0.59 % (1324520)Instruction limit reached! 0.29/0.59 % (1324520)------------------------------ 0.29/0.59 % (1324520)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.29/0.59 % (1324520)Termination reason: Unknown 0.29/0.59 % (1324520)Termination phase: shuffling 0.29/0.59 0.29/0.59 % (1324520)Memory used [KB]: 1151 0.29/0.59 % (1324520)Time elapsed: 0.005 s 0.29/0.59 % (1324520)Instructions burned: 3 (million) 0.29/0.59 % (1324520)------------------------------ 0.29/0.59 % (1324520)------------------------------ 0.29/0.60 % (1324519)Instruction limit reached! 0.29/0.60 % (1324519)------------------------------ 0.29/0.60 % (1324519)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.29/0.60 % (1324519)Termination reason: Unknown 0.29/0.60 % (1324519)Termination phase: shuffling 0.29/0.60 0.29/0.60 % (1324519)Memory used [KB]: 1407 0.29/0.60 % (1324519)Time elapsed: 0.010 s 0.29/0.60 % (1324519)Instructions burned: 16 (million) 0.29/0.60 % (1324519)------------------------------ 0.29/0.60 % (1324519)------------------------------ 0.29/0.60 % (1324511)Refutation not found, incomplete strategy 0.29/0.60 % (1324511)------------------------------ 0.29/0.60 % (1324511)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.29/0.60 % (1324511)Termination reason: Refutation not found, incomplete strategy 0.29/0.60 0.29/0.60 0.29/0.60 % (1324511)Memory used [KB]: 6012 0.29/0.60 % (1324511)Time elapsed: 0.034 s 0.29/0.60 % (1324511)Instructions burned: 30 (million) 0.29/0.60 % (1324511)------------------------------ 0.29/0.60 % (1324511)------------------------------ 0.29/0.61 % (1324522)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_1324435 for (1799ds/1041Mi) 0.68/0.61 % (1324527)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_1324435 for (1799ds/3Mi) 0.68/0.61 % (1324527)Instruction limit reached! 0.68/0.61 % (1324527)------------------------------ 0.68/0.61 % (1324527)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.68/0.61 % (1324527)Termination reason: Unknown 0.68/0.61 % (1324527)Termination phase: shuffling 0.68/0.61 0.68/0.61 % (1324527)Memory used [KB]: 1151 0.68/0.61 % (1324527)Time elapsed: 0.004 s 0.68/0.61 % (1324527)Instructions burned: 4 (million) 0.68/0.61 % (1324527)------------------------------ 0.68/0.61 % (1324527)------------------------------ 0.68/0.62 % (1324523)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_1324435 for (1799ds/7Mi) 0.68/0.62 % (1324523)Instruction limit reached! 0.68/0.62 % (1324523)------------------------------ 0.68/0.62 % (1324523)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.68/0.62 % (1324523)Termination reason: Unknown 0.68/0.62 % (1324523)Termination phase: shuffling 0.68/0.62 0.68/0.62 % (1324523)Memory used [KB]: 1279 0.68/0.62 % (1324523)Time elapsed: 0.009 s 0.68/0.62 % (1324523)Instructions burned: 7 (million) 0.68/0.62 % (1324523)------------------------------ 0.68/0.62 % (1324523)------------------------------ 0.68/0.62 % (1324518)Instruction limit reached! 0.68/0.62 % (1324518)------------------------------ 0.68/0.62 % (1324518)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.68/0.62 % (1324518)Termination reason: Unknown 0.68/0.62 % (1324518)Termination phase: Saturation 0.68/0.62 0.68/0.62 % (1324518)Memory used [KB]: 6012 0.68/0.62 % (1324518)Time elapsed: 0.035 s 0.68/0.62 % (1324518)Instructions burned: 37 (million) 0.68/0.62 % (1324518)------------------------------ 0.68/0.62 % (1324518)------------------------------ 0.68/0.63 % (1324526)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_1324435 for (1799ds/16Mi) 0.68/0.63 % (1324529)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_1324435 for (1799ds/3Mi) 0.68/0.63 % (1324531)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_1324435 for (1799ds/7Mi) 0.68/0.63 % (1324529)Instruction limit reached! 0.68/0.63 % (1324529)------------------------------ 0.68/0.63 % (1324529)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.68/0.63 % (1324529)Termination reason: Unknown 0.68/0.63 % (1324529)Termination phase: shuffling 0.68/0.63 0.68/0.63 % (1324529)Memory used [KB]: 1151 0.68/0.63 % (1324529)Time elapsed: 0.006 s 0.68/0.63 % (1324529)Instructions burned: 3 (million) 0.68/0.63 % (1324529)------------------------------ 0.68/0.63 % (1324529)------------------------------ 0.68/0.63 % (1324531)Instruction limit reached! 0.68/0.63 % (1324531)------------------------------ 0.68/0.63 % (1324531)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.68/0.63 % (1324531)Termination reason: Unknown 0.68/0.63 % (1324531)Termination phase: shuffling 0.68/0.63 0.68/0.63 % (1324531)Memory used [KB]: 1279 0.68/0.63 % (1324531)Time elapsed: 0.005 s 0.68/0.63 % (1324531)Instructions burned: 7 (million) 0.68/0.63 % (1324531)------------------------------ 0.68/0.63 % (1324531)------------------------------ 0.68/0.64 % (1324526)Instruction limit reached! 0.68/0.64 % (1324526)------------------------------ 0.68/0.64 % (1324526)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.68/0.64 % (1324526)Termination reason: Unknown 0.68/0.64 % (1324526)Termination phase: shuffling 0.68/0.64 0.68/0.64 % (1324526)Memory used [KB]: 1407 0.68/0.64 % (1324526)Time elapsed: 0.018 s 0.68/0.64 % (1324526)Instructions burned: 16 (million) 0.68/0.64 % (1324526)------------------------------ 0.68/0.64 % (1324526)------------------------------ 0.68/0.65 % (1324535)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_1324435 for (1798ds/710Mi) 0.68/0.65 % (1324532)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_1324435 for (1799ds/3Mi) 0.68/0.65 % (1324533)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_1324435 for (1799ds/4Mi) 0.95/0.66 % (1324532)Instruction limit reached! 0.95/0.66 % (1324532)------------------------------ 0.95/0.66 % (1324532)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.95/0.66 % (1324532)Termination reason: Unknown 0.95/0.66 % (1324532)Termination phase: shuffling 0.95/0.66 0.95/0.66 % (1324532)Memory used [KB]: 1151 0.95/0.66 % (1324532)Time elapsed: 0.005 s 0.95/0.66 % (1324532)Instructions burned: 3 (million) 0.95/0.66 % (1324532)------------------------------ 0.95/0.66 % (1324532)------------------------------ 0.95/0.66 % (1324533)Instruction limit reached! 0.95/0.66 % (1324533)------------------------------ 0.95/0.66 % (1324533)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.95/0.66 % (1324533)Termination reason: Unknown 0.95/0.66 % (1324533)Termination phase: shuffling 0.95/0.66 0.95/0.66 % (1324533)Memory used [KB]: 1151 0.95/0.66 % (1324533)Time elapsed: 0.006 s 0.95/0.66 % (1324533)Instructions burned: 4 (million) 0.95/0.66 % (1324533)------------------------------ 0.95/0.66 % (1324533)------------------------------ 0.95/0.66 % (1324534)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_1324435 for (1798ds/18Mi) 0.95/0.67 % (1324536)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_1324435 for (1798ds/6Mi) 0.95/0.68 % (1324536)Instruction limit reached! 0.95/0.68 % (1324536)------------------------------ 0.95/0.68 % (1324536)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.95/0.68 % (1324536)Termination reason: Unknown 0.95/0.68 % (1324536)Termination phase: shuffling 0.95/0.68 0.95/0.68 % (1324536)Memory used [KB]: 1279 0.95/0.68 % (1324536)Time elapsed: 0.009 s 0.95/0.68 % (1324536)Instructions burned: 6 (million) 0.95/0.68 % (1324536)------------------------------ 0.95/0.68 % (1324536)------------------------------ 0.95/0.68 % (1324534)Instruction limit reached! 0.95/0.68 % (1324534)------------------------------ 0.95/0.68 % (1324534)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.95/0.68 % (1324534)Termination reason: Unknown 0.95/0.68 % (1324534)Termination phase: Property scanning 0.95/0.68 0.95/0.68 % (1324534)Memory used [KB]: 1535 0.95/0.68 % (1324534)Time elapsed: 0.019 s 0.95/0.68 % (1324534)Instructions burned: 18 (million) 0.95/0.68 % (1324534)------------------------------ 0.95/0.68 % (1324534)------------------------------ 0.95/0.69 % (1324537)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_1324435 for (1798ds/902Mi) 0.95/0.69 % (1324538)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_1324435 for (1798ds/21Mi) 1.16/0.71 % (1324538)Instruction limit reached! 1.16/0.71 % (1324538)------------------------------ 1.16/0.71 % (1324538)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.16/0.71 % (1324538)Termination reason: Unknown 1.16/0.71 % (1324538)Termination phase: Property scanning 1.16/0.71 1.16/0.71 % (1324538)Memory used [KB]: 1407 1.16/0.71 % (1324538)Time elapsed: 0.021 s 1.16/0.71 % (1324538)Instructions burned: 21 (million) 1.16/0.71 % (1324538)------------------------------ 1.16/0.71 % (1324538)------------------------------ 1.16/0.71 % (1324506)Instruction limit reached! 1.16/0.71 % (1324506)------------------------------ 1.16/0.71 % (1324506)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.16/0.71 % (1324506)Termination reason: Unknown 1.16/0.71 % (1324506)Termination phase: Saturation 1.16/0.71 1.16/0.71 % (1324506)Memory used [KB]: 6524 1.16/0.71 % (1324506)Time elapsed: 0.160 s 1.16/0.71 % (1324506)Instructions burned: 183 (million) 1.16/0.71 % (1324506)------------------------------ 1.16/0.71 % (1324506)------------------------------ 1.16/0.71 % (1324539)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_1324435 for (1798ds/5Mi) 1.16/0.71 % (1324540)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_1324435 for (1798ds/6Mi) 1.16/0.72 % (1324539)Instruction limit reached! 1.16/0.72 % (1324539)------------------------------ 1.16/0.72 % (1324539)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.16/0.72 % (1324539)Termination reason: Unknown 1.16/0.72 % (1324539)Termination phase: shuffling 1.16/0.72 1.16/0.72 % (1324539)Memory used [KB]: 1151 1.16/0.72 % (1324539)Time elapsed: 0.007 s 1.16/0.72 % (1324539)Instructions burned: 5 (million) 1.16/0.72 % (1324539)------------------------------ 1.16/0.72 % (1324539)------------------------------ 1.16/0.72 % (1324540)Instruction limit reached! 1.16/0.72 % (1324540)------------------------------ 1.16/0.72 % (1324540)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.16/0.72 % (1324540)Termination reason: Unknown 1.16/0.72 % (1324540)Termination phase: shuffling 1.16/0.72 1.16/0.72 % (1324540)Memory used [KB]: 1279 1.16/0.72 % (1324540)Time elapsed: 0.009 s 1.16/0.72 % (1324540)Instructions burned: 6 (million) 1.16/0.72 % (1324540)------------------------------ 1.16/0.72 % (1324540)------------------------------ 1.16/0.73 % (1324537)Refutation not found, incomplete strategy 1.16/0.73 % (1324537)------------------------------ 1.16/0.73 % (1324537)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.16/0.73 % (1324537)Termination reason: Refutation not found, incomplete strategy 1.16/0.73 1.16/0.73 1.16/0.73 % (1324537)Memory used [KB]: 6012 1.16/0.73 % (1324537)Time elapsed: 0.068 s 1.16/0.73 % (1324537)Instructions burned: 50 (million) 1.16/0.73 % (1324537)------------------------------ 1.16/0.73 % (1324537)------------------------------ 1.16/0.74 % (1324541)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_1324435 for (1798ds/377Mi) 1.16/0.74 % (1324542)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_1324435 for (1797ds/779Mi) 1.16/0.75 % (1324543)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_1324435 for (1797ds/19Mi) 1.16/0.75 % (1324544)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_1324435 for (1797ds/879Mi) 1.16/0.77 % (1324543)Instruction limit reached! 1.16/0.77 % (1324543)------------------------------ 1.16/0.77 % (1324543)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.16/0.77 % (1324543)Termination reason: Unknown 1.16/0.77 % (1324543)Termination phase: Property scanning 1.16/0.77 1.16/0.77 % (1324543)Memory used [KB]: 1407 1.16/0.77 % (1324543)Time elapsed: 0.020 s 1.16/0.77 % (1324543)Instructions burned: 20 (million) 1.16/0.77 % (1324543)------------------------------ 1.16/0.77 % (1324543)------------------------------ 1.16/0.77 % (1324547)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_1324435 for (1797ds/17Mi) 1.16/0.78 % (1324547)Instruction limit reached! 1.16/0.78 % (1324547)------------------------------ 1.16/0.78 % (1324547)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.16/0.78 % (1324547)Termination reason: Unknown 1.16/0.78 % (1324547)Termination phase: Property scanning 1.16/0.78 1.16/0.78 % (1324547)Memory used [KB]: 1407 1.16/0.78 % (1324547)Time elapsed: 0.019 s 1.16/0.78 % (1324547)Instructions burned: 18 (million) 1.16/0.78 % (1324547)------------------------------ 1.16/0.78 % (1324547)------------------------------ 1.16/0.80 % (1324552)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_1324435 for (1797ds/3Mi) 1.48/0.80 % (1324552)Instruction limit reached! 1.48/0.80 % (1324552)------------------------------ 1.48/0.80 % (1324552)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.48/0.80 % (1324552)Termination reason: Unknown 1.48/0.80 % (1324552)Termination phase: shuffling 1.48/0.80 1.48/0.80 % (1324552)Memory used [KB]: 1151 1.48/0.80 % (1324552)Time elapsed: 0.006 s 1.48/0.80 % (1324552)Instructions burned: 3 (million) 1.48/0.80 % (1324552)------------------------------ 1.48/0.80 % (1324552)------------------------------ 1.48/0.82 % (1324556)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_1324435 for (1797ds/30Mi) 1.48/0.83 % (1324557)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_1324435 for (1797ds/127Mi) 1.48/0.84 % (1324556)Instruction limit reached! 1.48/0.84 % (1324556)------------------------------ 1.48/0.84 % (1324556)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.48/0.84 % (1324556)Termination reason: Unknown 1.48/0.84 % (1324556)Termination phase: Property scanning 1.48/0.84 1.48/0.84 % (1324556)Memory used [KB]: 1535 1.48/0.84 % (1324556)Time elapsed: 0.031 s 1.48/0.84 % (1324556)Instructions burned: 30 (million) 1.48/0.84 % (1324556)------------------------------ 1.48/0.84 % (1324556)------------------------------ 1.48/0.88 % (1324558)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_1324435 for (1796ds/100Mi) 1.59/0.94 % (1324557)Instruction limit reached! 1.59/0.94 % (1324557)------------------------------ 1.59/0.94 % (1324557)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.59/0.94 % (1324557)Termination reason: Unknown 1.59/0.94 % (1324557)Termination phase: Saturation 1.59/0.94 1.59/0.94 % (1324557)Memory used [KB]: 6140 1.59/0.94 % (1324557)Time elapsed: 0.108 s 1.59/0.94 % (1324557)Instructions burned: 127 (million) 1.59/0.94 % (1324557)------------------------------ 1.59/0.94 % (1324557)------------------------------ 1.59/0.96 % (1324558)Instruction limit reached! 1.59/0.96 % (1324558)------------------------------ 1.59/0.96 % (1324558)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.59/0.96 % (1324558)Termination reason: Unknown 1.59/0.96 % (1324558)Termination phase: Saturation 1.59/0.96 1.59/0.96 % (1324558)Memory used [KB]: 6012 1.59/0.96 % (1324558)Time elapsed: 0.080 s 1.59/0.96 % (1324558)Instructions burned: 101 (million) 1.59/0.96 % (1324558)------------------------------ 1.59/0.96 % (1324558)------------------------------ 1.59/0.96 % (1324535)Instruction limit reached! 1.59/0.96 % (1324535)------------------------------ 1.59/0.96 % (1324535)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.59/0.96 % (1324535)Termination reason: Unknown 1.59/0.96 % (1324535)Termination phase: Saturation 1.59/0.96 1.59/0.96 % (1324535)Memory used [KB]: 9083 1.59/0.96 % (1324535)Time elapsed: 0.309 s 1.59/0.96 % (1324535)Instructions burned: 710 (million) 1.59/0.96 % (1324535)------------------------------ 1.59/0.96 % (1324535)------------------------------ 1.59/0.97 % (1324565)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_1324435 for (1795ds/3Mi) 1.59/0.98 % (1324565)Instruction limit reached! 1.59/0.98 % (1324565)------------------------------ 1.59/0.98 % (1324565)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.59/0.98 % (1324565)Termination reason: Unknown 1.59/0.98 % (1324565)Termination phase: shuffling 1.59/0.98 1.59/0.98 % (1324565)Memory used [KB]: 1151 1.59/0.98 % (1324565)Time elapsed: 0.006 s 1.59/0.98 % (1324565)Instructions burned: 3 (million) 1.59/0.98 % (1324565)------------------------------ 1.59/0.98 % (1324565)------------------------------ 1.59/0.99 % (1324567)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_1324435 for (1795ds/20Mi) 1.59/0.99 % (1324569)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_1324435 for (1795ds/86Mi) 1.59/1.01 % (1324567)Instruction limit reached! 1.59/1.01 % (1324567)------------------------------ 1.59/1.01 % (1324567)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.59/1.01 % (1324567)Termination reason: Unknown 1.59/1.01 % (1324567)Termination phase: Property scanning 1.59/1.01 1.59/1.01 % (1324567)Memory used [KB]: 1407 1.59/1.01 % (1324567)Time elapsed: 0.021 s 1.59/1.01 % (1324567)Instructions burned: 20 (million) 1.59/1.01 % (1324567)------------------------------ 1.59/1.01 % (1324567)------------------------------ 1.59/1.01 % (1324571)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_1324435 for (1795ds/107Mi) 1.59/1.02 % (1324572)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_1324435 for (1795ds/39Mi) 1.59/1.04 % (1324572)Instruction limit reached! 1.59/1.04 % (1324572)------------------------------ 1.59/1.04 % (1324572)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.59/1.04 % (1324572)Termination reason: Unknown 1.59/1.04 % (1324572)Termination phase: Saturation 1.59/1.04 1.59/1.04 % (1324572)Memory used [KB]: 6012 1.59/1.04 % (1324572)Time elapsed: 0.019 s 1.59/1.04 % (1324572)Instructions burned: 40 (million) 1.59/1.04 % (1324572)------------------------------ 1.59/1.04 % (1324572)------------------------------ 3.84/1.05 % (1324569)Instruction limit reached! 3.84/1.05 % (1324569)------------------------------ 3.84/1.05 % (1324569)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.84/1.05 % (1324569)Termination reason: Unknown 3.84/1.05 % (1324569)Termination phase: Saturation 3.84/1.05 3.84/1.05 % (1324569)Memory used [KB]: 6012 3.84/1.05 % (1324569)Time elapsed: 0.064 s 3.84/1.05 % (1324569)Instructions burned: 87 (million) 3.84/1.05 % (1324569)------------------------------ 3.84/1.05 % (1324569)------------------------------ 3.84/1.06 % (1324541)Instruction limit reached! 3.84/1.06 % (1324541)------------------------------ 3.84/1.06 % (1324541)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.84/1.06 % (1324541)Termination reason: Unknown 3.84/1.06 % (1324541)Termination phase: Saturation 3.84/1.06 3.84/1.06 % (1324541)Memory used [KB]: 7419 3.84/1.06 % (1324541)Time elapsed: 0.326 s 3.84/1.06 % (1324541)Instructions burned: 377 (million) 3.84/1.06 % (1324541)------------------------------ 3.84/1.06 % (1324541)------------------------------ 3.84/1.07 % (1324573)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_1324435 for (1794ds/448Mi) 3.84/1.09 % (1324574)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_1324435 for (1794ds/46Mi) 3.84/1.10 % (1324571)Instruction limit reached! 3.84/1.10 % (1324571)------------------------------ 3.84/1.10 % (1324571)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.84/1.10 % (1324571)Termination reason: Unknown 3.84/1.10 % (1324571)Termination phase: Saturation 3.84/1.10 3.84/1.10 % (1324571)Memory used [KB]: 6140 3.84/1.10 % (1324571)Time elapsed: 0.090 s 3.84/1.10 % (1324571)Instructions burned: 107 (million) 3.84/1.10 % (1324571)------------------------------ 3.84/1.10 % (1324571)------------------------------ 3.84/1.10 % (1324575)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_1324435 for (1794ds/98Mi) 3.84/1.12 % (1324573)Refutation not found, incomplete strategy 3.84/1.12 % (1324573)------------------------------ 3.84/1.12 % (1324573)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.84/1.12 % (1324573)Termination reason: Refutation not found, incomplete strategy 3.84/1.12 3.84/1.12 3.84/1.12 % (1324573)Memory used [KB]: 6012 3.84/1.12 % (1324573)Time elapsed: 0.067 s 3.84/1.12 % (1324573)Instructions burned: 47 (million) 3.84/1.12 % (1324573)------------------------------ 3.84/1.12 % (1324573)------------------------------ 3.84/1.12 % (1324574)Instruction limit reached! 3.84/1.12 % (1324574)------------------------------ 3.84/1.12 % (1324574)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.84/1.12 % (1324574)Termination reason: Unknown 3.84/1.12 % (1324574)Termination phase: Property scanning 3.84/1.12 3.84/1.12 % (1324574)Memory used [KB]: 1535 3.84/1.12 % (1324574)Time elapsed: 0.041 s 3.84/1.12 % (1324574)Instructions burned: 46 (million) 3.84/1.12 % (1324574)------------------------------ 3.84/1.12 % (1324574)------------------------------ 3.84/1.13 % (1324582)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_1324435 for (1794ds/507Mi) 3.84/1.14 % (1324587)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on E---3.1_1324435 for (1793ds/39Mi) 3.84/1.15 % (1324586)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_1324435 for (1793ds/149Mi) 4.41/1.16 % (1324587)Instruction limit reached! 4.41/1.16 % (1324587)------------------------------ 4.41/1.16 % (1324587)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.41/1.16 % (1324587)Termination reason: Unknown 4.41/1.16 % (1324587)Termination phase: Property scanning 4.41/1.16 4.41/1.16 % (1324587)Memory used [KB]: 1535 4.41/1.16 % (1324587)Time elapsed: 0.019 s 4.41/1.16 % (1324587)Instructions burned: 41 (million) 4.41/1.16 % (1324587)------------------------------ 4.41/1.16 % (1324587)------------------------------ 4.41/1.17 % (1324575)Instruction limit reached! 4.41/1.17 % (1324575)------------------------------ 4.41/1.17 % (1324575)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.41/1.17 % (1324575)Termination reason: Unknown 4.41/1.17 % (1324575)Termination phase: Saturation 4.41/1.17 4.41/1.17 % (1324575)Memory used [KB]: 1535 4.41/1.17 % (1324575)Time elapsed: 0.080 s 4.41/1.17 % (1324575)Instructions burned: 98 (million) 4.41/1.17 % (1324575)------------------------------ 4.41/1.17 % (1324575)------------------------------ 4.41/1.18 % (1324588)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_1324435 for (1793ds/6Mi) 4.41/1.18 % (1324588)Instruction limit reached! 4.41/1.18 % (1324588)------------------------------ 4.41/1.18 % (1324588)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.41/1.18 % (1324588)Termination reason: Unknown 4.41/1.18 % (1324588)Termination phase: shuffling 4.41/1.18 4.41/1.18 % (1324588)Memory used [KB]: 1279 4.41/1.18 % (1324588)Time elapsed: 0.006 s 4.41/1.18 % (1324588)Instructions burned: 7 (million) 4.41/1.18 % (1324588)------------------------------ 4.41/1.18 % (1324588)------------------------------ 4.71/1.20 % (1324590)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on E---3.1_1324435 for (1793ds/47Mi) 4.71/1.21 % (1324589)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_1324435 for (1793ds/1087Mi) 4.71/1.22 % (1324590)Instruction limit reached! 4.71/1.22 % (1324590)------------------------------ 4.71/1.22 % (1324590)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.71/1.22 % (1324590)Termination reason: Unknown 4.71/1.22 % (1324590)Termination phase: Saturation 4.71/1.22 4.71/1.22 % (1324590)Memory used [KB]: 6012 4.71/1.22 % (1324590)Time elapsed: 0.024 s 4.71/1.22 % (1324590)Instructions burned: 47 (million) 4.71/1.22 % (1324590)------------------------------ 4.71/1.22 % (1324590)------------------------------ 4.71/1.24 % (1324593)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_1324435 for (1792ds/44Mi) 4.71/1.26 % (1324593)Refutation not found, incomplete strategy 4.71/1.26 % (1324593)------------------------------ 4.71/1.26 % (1324593)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.71/1.26 % (1324593)Termination reason: Refutation not found, incomplete strategy 4.71/1.26 4.71/1.26 4.71/1.26 % (1324593)Memory used [KB]: 1535 4.71/1.26 % (1324593)Time elapsed: 0.019 s 4.71/1.26 % (1324593)Instructions burned: 35 (million) 4.71/1.26 % (1324593)------------------------------ 4.71/1.26 % (1324593)------------------------------ 4.71/1.27 % (1324601)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_1324435 for (1792ds/432Mi) 4.71/1.28 % (1324586)Instruction limit reached! 4.71/1.28 % (1324586)------------------------------ 4.71/1.28 % (1324586)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.71/1.28 % (1324586)Termination reason: Unknown 4.71/1.28 % (1324586)Termination phase: Saturation 4.71/1.28 4.71/1.28 % (1324586)Memory used [KB]: 6396 4.71/1.28 % (1324586)Time elapsed: 0.133 s 4.71/1.28 % (1324586)Instructions burned: 149 (million) 4.71/1.28 % (1324586)------------------------------ 4.71/1.28 % (1324586)------------------------------ 5.25/1.31 % (1324602)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_1324435 for (1792ds/62Mi) 5.25/1.36 % (1324602)Instruction limit reached! 5.25/1.36 % (1324602)------------------------------ 5.25/1.36 % (1324602)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.25/1.36 % (1324602)Termination reason: Unknown 5.25/1.36 % (1324602)Termination phase: Saturation 5.25/1.36 5.25/1.36 % (1324602)Memory used [KB]: 6268 5.25/1.36 % (1324602)Time elapsed: 0.052 s 5.25/1.36 % (1324602)Instructions burned: 62 (million) 5.25/1.36 % (1324602)------------------------------ 5.25/1.36 % (1324602)------------------------------ 5.25/1.39 % (1324603)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_1324435 for (1791ds/31Mi) 5.63/1.42 % (1324603)Instruction limit reached! 5.63/1.42 % (1324603)------------------------------ 5.63/1.42 % (1324603)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.63/1.42 % (1324603)Termination reason: Unknown 5.63/1.42 % (1324603)Termination phase: Property scanning 5.63/1.42 5.63/1.42 % (1324603)Memory used [KB]: 1535 5.63/1.42 % (1324603)Time elapsed: 0.029 s 5.63/1.42 % (1324603)Instructions burned: 31 (million) 5.63/1.42 % (1324603)------------------------------ 5.63/1.42 % (1324603)------------------------------ 5.63/1.43 % (1324542)Instruction limit reached! 5.63/1.43 % (1324542)------------------------------ 5.63/1.43 % (1324542)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.63/1.43 % (1324542)Termination reason: Unknown 5.63/1.43 % (1324542)Termination phase: Saturation 5.63/1.43 5.63/1.43 % (1324542)Memory used [KB]: 6908 5.63/1.43 % (1324542)Time elapsed: 0.687 s 5.63/1.43 % (1324542)Instructions burned: 779 (million) 5.63/1.43 % (1324542)------------------------------ 5.63/1.43 % (1324542)------------------------------ 5.63/1.45 % (1324610)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on E---3.1_1324435 for (1790ds/96Mi) 5.63/1.45 % (1324601)Instruction limit reached! 5.63/1.45 % (1324601)------------------------------ 5.63/1.45 % (1324601)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.63/1.45 % (1324601)Termination reason: Unknown 5.63/1.45 % (1324601)Termination phase: Saturation 5.63/1.45 5.63/1.45 % (1324601)Memory used [KB]: 2174 5.63/1.45 % (1324601)Time elapsed: 0.180 s 5.63/1.45 % (1324601)Instructions burned: 432 (million) 5.63/1.45 % (1324601)------------------------------ 5.63/1.45 % (1324601)------------------------------ 5.63/1.45 % (1324522)Instruction limit reached! 5.63/1.45 % (1324522)------------------------------ 5.63/1.45 % (1324522)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.63/1.45 % (1324522)Termination reason: Unknown 5.63/1.45 % (1324522)Termination phase: Saturation 5.63/1.45 5.63/1.45 % (1324522)Memory used [KB]: 7164 5.63/1.45 % (1324522)Time elapsed: 0.850 s 5.63/1.45 % (1324522)Instructions burned: 1041 (million) 5.63/1.45 % (1324522)------------------------------ 5.63/1.45 % (1324522)------------------------------ 5.63/1.46 % (1324613)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_1324435 for (1790ds/453Mi) 5.63/1.47 % (1324615)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_1324435 for (1790ds/71Mi) 5.63/1.49 % (1324616)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_1324435 for (1790ds/83Mi) 6.10/1.50 % (1324615)Instruction limit reached! 6.10/1.50 % (1324615)------------------------------ 6.10/1.50 % (1324615)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.10/1.50 % (1324615)Termination reason: Unknown 6.10/1.50 % (1324615)Termination phase: Saturation 6.10/1.50 6.10/1.50 % (1324615)Memory used [KB]: 6140 6.10/1.50 % (1324615)Time elapsed: 0.035 s 6.10/1.50 % (1324615)Instructions burned: 71 (million) 6.10/1.50 % (1324615)------------------------------ 6.10/1.50 % (1324615)------------------------------ 6.10/1.52 % (1324544)Instruction limit reached! 6.10/1.52 % (1324544)------------------------------ 6.10/1.52 % (1324544)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.10/1.52 % (1324544)Termination reason: Unknown 6.10/1.52 % (1324544)Termination phase: Saturation 6.10/1.52 6.10/1.52 % (1324544)Memory used [KB]: 9594 6.10/1.52 % (1324544)Time elapsed: 0.771 s 6.10/1.52 % (1324544)Instructions burned: 879 (million) 6.10/1.52 % (1324544)------------------------------ 6.10/1.52 % (1324544)------------------------------ 6.10/1.52 % (1324616)Refutation not found, incomplete strategy 6.10/1.52 % (1324616)------------------------------ 6.10/1.52 % (1324616)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.10/1.52 % (1324616)Termination reason: Refutation not found, incomplete strategy 6.10/1.52 6.10/1.52 6.10/1.52 % (1324616)Memory used [KB]: 6012 6.10/1.52 % (1324616)Time elapsed: 0.034 s 6.10/1.52 % (1324616)Instructions burned: 33 (million) 6.10/1.52 % (1324616)------------------------------ 6.10/1.52 % (1324616)------------------------------ 6.10/1.52 % (1324610)Instruction limit reached! 6.10/1.52 % (1324610)------------------------------ 6.10/1.52 % (1324610)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.10/1.52 % (1324610)Termination reason: Unknown 6.10/1.52 % (1324610)Termination phase: Saturation 6.10/1.52 6.10/1.52 % (1324610)Memory used [KB]: 6012 6.10/1.52 % (1324610)Time elapsed: 0.077 s 6.10/1.52 % (1324610)Instructions burned: 96 (million) 6.10/1.52 % (1324610)------------------------------ 6.10/1.52 % (1324610)------------------------------ 6.10/1.54 % (1324617)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_1324435 for (1790ds/11Mi) 6.10/1.54 % (1324618)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_1324435 for (1790ds/41Mi) 6.10/1.54 % (1324617)Instruction limit reached! 6.10/1.54 % (1324617)------------------------------ 6.10/1.54 % (1324617)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.10/1.54 % (1324617)Termination reason: Unknown 6.10/1.54 % (1324617)Termination phase: shuffling 6.10/1.54 6.10/1.54 % (1324617)Memory used [KB]: 1279 6.10/1.54 % (1324617)Time elapsed: 0.013 s 6.10/1.54 % (1324617)Instructions burned: 11 (million) 6.10/1.54 % (1324617)------------------------------ 6.10/1.54 % (1324617)------------------------------ 6.10/1.55 % (1324620)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on E---3.1_1324435 for (1790ds/150Mi) 6.10/1.55 % (1324619)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_1324435 for (1790ds/6Mi) 6.10/1.55 % (1324618)Instruction limit reached! 6.10/1.55 % (1324618)------------------------------ 6.10/1.55 % (1324618)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.10/1.55 % (1324618)Termination reason: Unknown 6.10/1.55 % (1324618)Termination phase: Saturation 6.10/1.55 6.10/1.55 % (1324618)Memory used [KB]: 6012 6.10/1.55 % (1324618)Time elapsed: 0.020 s 6.10/1.55 % (1324618)Instructions burned: 41 (million) 6.10/1.55 % (1324618)------------------------------ 6.10/1.55 % (1324618)------------------------------ 6.10/1.56 % (1324619)Instruction limit reached! 6.10/1.56 % (1324619)------------------------------ 6.10/1.56 % (1324619)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.10/1.56 % (1324619)Termination reason: Unknown 6.10/1.56 % (1324619)Termination phase: shuffling 6.10/1.56 6.10/1.56 % (1324619)Memory used [KB]: 1151 6.10/1.56 % (1324619)Time elapsed: 0.008 s 6.10/1.56 % (1324619)Instructions burned: 6 (million) 6.10/1.56 % (1324619)------------------------------ 6.10/1.56 % (1324619)------------------------------ 6.10/1.57 % (1324582)Instruction limit reached! 6.10/1.57 % (1324582)------------------------------ 6.10/1.57 % (1324582)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.10/1.57 % (1324582)Termination reason: Unknown 6.10/1.57 % (1324582)Termination phase: Saturation 6.10/1.57 6.10/1.57 % (1324582)Memory used [KB]: 6524 6.10/1.57 % (1324582)Time elapsed: 0.438 s 6.10/1.57 % (1324582)Instructions burned: 508 (million) 6.10/1.57 % (1324582)------------------------------ 6.10/1.57 % (1324582)------------------------------ 6.10/1.57 % (1324625)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_1324435 for (1789ds/109Mi) 6.10/1.58 % (1324622)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_1324435 for (1789ds/343Mi) 6.10/1.59 % (1324626)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_1324435 for (1789ds/253Mi) 6.10/1.60 % (1324630)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_1324435 for (1789ds/140Mi) 6.94/1.61 % (1324622)Refutation not found, incomplete strategy 6.94/1.61 % (1324622)------------------------------ 6.94/1.61 % (1324622)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.94/1.61 % (1324622)Termination reason: Refutation not found, incomplete strategy 6.94/1.61 6.94/1.61 6.94/1.61 % (1324622)Memory used [KB]: 6012 6.94/1.61 % (1324622)Time elapsed: 0.033 s 6.94/1.61 % (1324622)Instructions burned: 35 (million) 6.94/1.61 % (1324622)------------------------------ 6.94/1.61 % (1324622)------------------------------ 6.94/1.62 % (1324625)Instruction limit reached! 6.94/1.62 % (1324625)------------------------------ 6.94/1.62 % (1324625)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.94/1.62 % (1324625)Termination reason: Unknown 6.94/1.62 % (1324625)Termination phase: Saturation 6.94/1.62 6.94/1.62 % (1324625)Memory used [KB]: 6140 6.94/1.62 % (1324625)Time elapsed: 0.048 s 6.94/1.62 % (1324625)Instructions burned: 109 (million) 6.94/1.62 % (1324625)------------------------------ 6.94/1.62 % (1324625)------------------------------ 6.94/1.62 % (1324620)Refutation not found, incomplete strategy 6.94/1.62 % (1324620)------------------------------ 6.94/1.62 % (1324620)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.94/1.62 % (1324620)Termination reason: Refutation not found, incomplete strategy 6.94/1.62 6.94/1.62 6.94/1.62 % (1324620)Memory used [KB]: 6140 6.94/1.62 % (1324620)Time elapsed: 0.069 s 6.94/1.62 % (1324620)Instructions burned: 83 (million) 6.94/1.62 % (1324620)------------------------------ 6.94/1.62 % (1324620)------------------------------ 6.94/1.62 % (1324626)Refutation not found, incomplete strategy 6.94/1.62 % (1324626)------------------------------ 6.94/1.62 % (1324626)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.94/1.62 % (1324626)Termination reason: Refutation not found, incomplete strategy 6.94/1.62 6.94/1.62 6.94/1.62 % (1324626)Memory used [KB]: 6012 6.94/1.62 % (1324626)Time elapsed: 0.053 s 6.94/1.62 % (1324626)Instructions burned: 32 (million) 6.94/1.62 % (1324626)------------------------------ 6.94/1.62 % (1324626)------------------------------ 6.94/1.64 % (1324635)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_1324435 for (1788ds/202Mi) 6.94/1.64 % (1324634)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_1324435 for (1789ds/614Mi) 6.94/1.65 % (1324630)Refutation not found, incomplete strategy 6.94/1.65 % (1324630)------------------------------ 6.94/1.65 % (1324630)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.94/1.65 % (1324630)Termination reason: Refutation not found, incomplete strategy 6.94/1.65 6.94/1.65 6.94/1.65 % (1324630)Memory used [KB]: 6012 6.94/1.65 % (1324630)Time elapsed: 0.053 s 6.94/1.65 % (1324630)Instructions burned: 59 (million) 6.94/1.65 % (1324630)------------------------------ 6.94/1.65 % (1324630)------------------------------ 6.94/1.65 % (1324636)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_1324435 for (1788ds/339Mi) 6.94/1.65 % (1324637)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_1324435 for (1788ds/283Mi) 6.94/1.66 % (1324635)Refutation not found, incomplete strategy 6.94/1.66 % (1324635)------------------------------ 6.94/1.66 % (1324635)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.94/1.66 % (1324635)Termination reason: Refutation not found, incomplete strategy 6.94/1.66 6.94/1.66 6.94/1.66 % (1324635)Memory used [KB]: 6012 6.94/1.66 % (1324635)Time elapsed: 0.025 s 6.94/1.66 % (1324635)Instructions burned: 51 (million) 6.94/1.66 % (1324635)------------------------------ 6.94/1.66 % (1324635)------------------------------ 6.94/1.68 % (1324639)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on E---3.1_1324435 for (1788ds/298Mi) 6.94/1.68 % (1324638)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_1324435 for (1788ds/134Mi) 7.35/1.70 % (1324636)Refutation not found, incomplete strategy 7.35/1.70 % (1324636)------------------------------ 7.35/1.70 % (1324636)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.35/1.70 % (1324636)Termination reason: Refutation not found, incomplete strategy 7.35/1.70 7.35/1.70 7.35/1.70 % (1324636)Memory used [KB]: 6012 7.35/1.70 % (1324636)Time elapsed: 0.052 s 7.35/1.70 % (1324636)Instructions burned: 58 (million) 7.35/1.70 % (1324636)------------------------------ 7.35/1.70 % (1324636)------------------------------ 7.35/1.73 % (1324646)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on E---3.1_1324435 for (1788ds/192Mi) 7.35/1.79 % (1324638)Instruction limit reached! 7.35/1.79 % (1324638)------------------------------ 7.35/1.79 % (1324638)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.35/1.79 % (1324638)Termination reason: Unknown 7.35/1.79 % (1324638)Termination phase: Saturation 7.35/1.79 7.35/1.79 % (1324638)Memory used [KB]: 6268 7.35/1.79 % (1324638)Time elapsed: 0.116 s 7.35/1.79 % (1324638)Instructions burned: 134 (million) 7.35/1.79 % (1324638)------------------------------ 7.35/1.79 % (1324638)------------------------------ 7.59/1.81 % (1324639)Instruction limit reached! 7.59/1.81 % (1324639)------------------------------ 7.59/1.81 % (1324639)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.59/1.81 % (1324639)Termination reason: Unknown 7.59/1.81 % (1324639)Termination phase: Saturation 7.59/1.81 7.59/1.81 % (1324639)Memory used [KB]: 6396 7.59/1.81 % (1324639)Time elapsed: 0.131 s 7.59/1.81 % (1324639)Instructions burned: 298 (million) 7.59/1.81 % (1324639)------------------------------ 7.59/1.81 % (1324639)------------------------------ 7.59/1.82 % (1324651)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_1324435 for (1787ds/90Mi) 7.59/1.83 % (1324650)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_1324435 for (1787ds/258Mi) 7.59/1.87 % (1324613)Instruction limit reached! 7.59/1.87 % (1324613)------------------------------ 7.59/1.87 % (1324613)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.59/1.87 % (1324613)Termination reason: Unknown 7.59/1.87 % (1324613)Termination phase: Saturation 7.59/1.87 7.59/1.87 % (1324613)Memory used [KB]: 6524 7.59/1.87 % (1324613)Time elapsed: 0.409 s 7.59/1.87 % (1324613)Instructions burned: 454 (million) 7.59/1.87 % (1324613)------------------------------ 7.59/1.87 % (1324613)------------------------------ 7.59/1.87 % (1324651)Instruction limit reached! 7.59/1.87 % (1324651)------------------------------ 7.59/1.87 % (1324651)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.59/1.87 % (1324651)Termination reason: Unknown 7.59/1.87 % (1324651)Termination phase: Saturation 7.59/1.87 7.59/1.87 % (1324651)Memory used [KB]: 6268 7.59/1.87 % (1324651)Time elapsed: 0.047 s 7.59/1.87 % (1324651)Instructions burned: 91 (million) 7.59/1.87 % (1324651)------------------------------ 7.59/1.87 % (1324651)------------------------------ 7.59/1.88 % (1324637)Instruction limit reached! 7.59/1.88 % (1324637)------------------------------ 7.59/1.88 % (1324637)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.59/1.88 % (1324637)Termination reason: Unknown 7.59/1.88 % (1324637)Termination phase: Saturation 7.59/1.88 7.59/1.88 % (1324637)Memory used [KB]: 6652 7.59/1.88 % (1324637)Time elapsed: 0.226 s 7.59/1.88 % (1324637)Instructions burned: 283 (million) 7.59/1.88 % (1324637)------------------------------ 7.59/1.88 % (1324637)------------------------------ 7.59/1.88 % (1324661)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_1324435 for (1786ds/231Mi) 7.59/1.90 % (1324646)Instruction limit reached! 7.59/1.90 % (1324646)------------------------------ 7.59/1.90 % (1324646)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.59/1.90 % (1324646)Termination reason: Unknown 7.59/1.90 % (1324646)Termination phase: Saturation 7.59/1.90 7.59/1.90 % (1324646)Memory used [KB]: 6524 7.59/1.90 % (1324646)Time elapsed: 0.165 s 7.59/1.90 % (1324646)Instructions burned: 192 (million) 7.59/1.90 % (1324646)------------------------------ 7.59/1.90 % (1324646)------------------------------ 8.49/1.90 % (1324662)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_1324435 for (1786ds/458Mi) 8.49/1.91 % (1324663)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_1324435 for (1786ds/31Mi) 8.49/1.93 % (1324664)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_1324435 for (1786ds/297Mi) 8.49/1.94 % (1324663)Instruction limit reached! 8.49/1.94 % (1324663)------------------------------ 8.49/1.94 % (1324663)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 8.49/1.94 % (1324663)Termination reason: Unknown 8.49/1.94 % (1324663)Termination phase: Property scanning 8.49/1.94 8.49/1.94 % (1324663)Memory used [KB]: 1535 8.49/1.94 % (1324663)Time elapsed: 0.031 s 8.49/1.94 % (1324663)Instructions burned: 32 (million) 8.49/1.94 % (1324663)------------------------------ 8.49/1.94 % (1324663)------------------------------ 8.49/1.97 % (1324664)Refutation not found, incomplete strategy 8.49/1.97 % (1324664)------------------------------ 8.49/1.97 % (1324664)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 8.49/1.97 % (1324664)Termination reason: Refutation not found, incomplete strategy 8.49/1.97 8.49/1.97 8.49/1.97 % (1324664)Memory used [KB]: 6012 8.49/1.97 % (1324664)Time elapsed: 0.040 s 8.49/1.97 % (1324664)Instructions burned: 40 (million) 8.49/1.97 % (1324664)------------------------------ 8.49/1.97 % (1324664)------------------------------ 8.49/1.97 % (1324661)Instruction limit reached! 8.49/1.97 % (1324661)------------------------------ 8.49/1.97 % (1324661)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 8.49/1.97 % (1324661)Termination reason: Unknown 8.49/1.97 % (1324661)Termination phase: Saturation 8.49/1.97 8.49/1.97 % (1324661)Memory used [KB]: 6396 8.49/1.97 % (1324661)Time elapsed: 0.089 s 8.49/1.97 % (1324661)Instructions burned: 231 (million) 8.49/1.97 % (1324661)------------------------------ 8.49/1.97 % (1324661)------------------------------ 8.49/1.97 % (1324665)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_1324435 for (1785ds/987Mi) 8.49/1.99 % (1324669)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_1324435 for (1785ds/182Mi) 8.49/2.02 % (1324670)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_1324435 for (1785ds/182Mi) 8.49/2.05 % (1324650)Instruction limit reached! 8.49/2.05 % (1324650)------------------------------ 8.49/2.05 % (1324650)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 8.49/2.05 % (1324650)Termination reason: Unknown 8.49/2.05 % (1324650)Termination phase: Saturation 8.49/2.05 8.49/2.05 % (1324650)Memory used [KB]: 6652 8.49/2.05 % (1324650)Time elapsed: 0.222 s 8.49/2.05 % (1324650)Instructions burned: 258 (million) 8.49/2.05 % (1324650)------------------------------ 8.49/2.05 % (1324650)------------------------------ 10.94/2.07 % (1324669)Instruction limit reached! 10.94/2.07 % (1324669)------------------------------ 10.94/2.07 % (1324669)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 10.94/2.07 % (1324669)Termination reason: Unknown 10.94/2.07 % (1324669)Termination phase: Saturation 10.94/2.07 10.94/2.07 % (1324669)Memory used [KB]: 6524 10.94/2.07 % (1324669)Time elapsed: 0.082 s 10.94/2.07 % (1324669)Instructions burned: 183 (million) 10.94/2.07 % (1324669)------------------------------ 10.94/2.07 % (1324669)------------------------------ 10.94/2.08 % (1324677)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_1324435 for (1784ds/154Mi) 10.94/2.09 % (1324678)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on E---3.1_1324435 for (1784ds/79Mi) 10.94/2.12 % (1324678)Instruction limit reached! 10.94/2.12 % (1324678)------------------------------ 10.94/2.12 % (1324678)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 10.94/2.12 % (1324678)Termination reason: Unknown 10.94/2.12 % (1324678)Termination phase: Saturation 10.94/2.12 10.94/2.12 % (1324678)Memory used [KB]: 6012 10.94/2.12 % (1324678)Time elapsed: 0.037 s 10.94/2.12 % (1324678)Instructions burned: 80 (million) 10.94/2.12 % (1324678)------------------------------ 10.94/2.12 % (1324678)------------------------------ 10.94/2.15 % (1324589)Instruction limit reached! 10.94/2.15 % (1324589)------------------------------ 10.94/2.15 % (1324589)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 10.94/2.15 % (1324589)Termination reason: Unknown 10.94/2.15 % (1324589)Termination phase: Saturation 10.94/2.15 10.94/2.15 % (1324589)Memory used [KB]: 9978 10.94/2.15 % (1324589)Time elapsed: 0.944 s 10.94/2.15 % (1324589)Instructions burned: 1087 (million) 10.94/2.15 % (1324589)------------------------------ 10.94/2.15 % (1324589)------------------------------ 10.94/2.15 % (1324688)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on E---3.1_1324435 for (1784ds/216Mi) 11.50/2.17 % (1324688)Refutation not found, incomplete strategy 11.50/2.17 % (1324688)------------------------------ 11.50/2.17 % (1324688)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 11.50/2.17 % (1324688)Termination reason: Refutation not found, incomplete strategy 11.50/2.17 11.50/2.17 11.50/2.17 % (1324688)Memory used [KB]: 6012 11.50/2.17 % (1324688)Time elapsed: 0.047 s 11.50/2.17 % (1324688)Instructions burned: 37 (million) 11.50/2.17 % (1324688)------------------------------ 11.50/2.17 % (1324688)------------------------------ 11.50/2.17 % (1324634)Instruction limit reached! 11.50/2.17 % (1324634)------------------------------ 11.50/2.17 % (1324634)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 11.50/2.17 % (1324634)Termination reason: Unknown 11.50/2.17 % (1324634)Termination phase: Saturation 11.50/2.17 11.50/2.17 % (1324634)Memory used [KB]: 8699 11.50/2.17 % (1324634)Time elapsed: 0.535 s 11.50/2.17 % (1324634)Instructions burned: 614 (million) 11.50/2.17 % (1324634)------------------------------ 11.50/2.17 % (1324634)------------------------------ 11.50/2.18 % (1324689)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on E---3.1_1324435 for (1783ds/114Mi) 11.50/2.19 % (1324690)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on E---3.1_1324435 for (1783ds/922Mi) 11.50/2.20 % (1324670)Instruction limit reached! 11.50/2.20 % (1324670)------------------------------ 11.50/2.20 % (1324670)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 11.50/2.20 % (1324670)Termination reason: Unknown 11.50/2.20 % (1324670)Termination phase: Saturation 11.50/2.20 11.50/2.20 % (1324670)Memory used [KB]: 6524 11.50/2.20 % (1324670)Time elapsed: 0.203 s 11.50/2.20 % (1324670)Instructions burned: 182 (million) 11.50/2.20 % (1324670)------------------------------ 11.50/2.20 % (1324670)------------------------------ 11.46/2.20 % (1324677)Refutation not found, incomplete strategy 11.46/2.20 % (1324677)------------------------------ 11.46/2.20 % (1324677)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 11.46/2.20 % (1324677)Termination reason: Refutation not found, incomplete strategy 11.46/2.20 11.46/2.20 11.46/2.20 % (1324677)Memory used [KB]: 6780 11.46/2.20 % (1324677)Time elapsed: 0.127 s 11.46/2.20 % (1324677)Instructions burned: 135 (million) 11.46/2.20 % (1324677)------------------------------ 11.46/2.20 % (1324677)------------------------------ 11.46/2.21 % (1324691)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on E---3.1_1324435 for (1783ds/182Mi) 11.46/2.23 % (1324692)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on E---3.1_1324435 for (1783ds/164Mi) 11.46/2.23 % (1324689)Refutation not found, incomplete strategy 11.46/2.23 % (1324689)------------------------------ 11.46/2.23 % (1324689)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 11.46/2.23 % (1324689)Termination reason: Refutation not found, incomplete strategy 11.46/2.23 11.46/2.23 11.46/2.23 % (1324689)Memory used [KB]: 6012 11.46/2.23 % (1324689)Time elapsed: 0.073 s 11.46/2.23 % (1324689)Instructions burned: 54 (million) 11.46/2.23 % (1324689)------------------------------ 11.46/2.23 % (1324689)------------------------------ 11.46/2.24 % (1324693)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on E---3.1_1324435 for (1783ds/50Mi) 11.46/2.26 % (1324692)Refutation not found, incomplete strategy 11.46/2.26 % (1324692)------------------------------ 11.46/2.26 % (1324692)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 11.46/2.26 % (1324692)Termination reason: Refutation not found, incomplete strategy 11.46/2.26 11.46/2.26 11.46/2.26 % (1324692)Memory used [KB]: 1535 11.46/2.26 % (1324692)Time elapsed: 0.037 s 11.46/2.26 % (1324692)Instructions burned: 38 (million) 11.46/2.26 % (1324692)------------------------------ 11.46/2.26 % (1324692)------------------------------ 11.46/2.27 % (1324696)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on E---3.1_1324435 for (1782ds/368Mi) 11.46/2.28 % (1324693)Instruction limit reached! 11.46/2.28 % (1324693)------------------------------ 11.46/2.28 % (1324693)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 11.46/2.28 % (1324693)Termination reason: Unknown 11.46/2.28 % (1324693)Termination phase: Saturation 11.46/2.28 11.46/2.28 % (1324693)Memory used [KB]: 10490 11.46/2.28 % (1324693)Time elapsed: 0.045 s 11.46/2.28 % (1324693)Instructions burned: 50 (million) 11.46/2.28 % (1324693)------------------------------ 11.46/2.28 % (1324693)------------------------------ 12.26/2.30 % (1324700)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on E---3.1_1324435 for (1782ds/1021Mi) 12.26/2.30 % (1324662)Instruction limit reached! 12.26/2.30 % (1324662)------------------------------ 12.26/2.30 % (1324662)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 12.26/2.30 % (1324662)Termination reason: Unknown 12.26/2.30 % (1324662)Termination phase: Saturation 12.26/2.30 12.26/2.30 % (1324662)Memory used [KB]: 7419 12.26/2.30 % (1324662)Time elapsed: 0.407 s 12.26/2.30 % (1324662)Instructions burned: 458 (million) 12.26/2.30 % (1324662)------------------------------ 12.26/2.30 % (1324662)------------------------------ 12.26/2.31 % (1324703)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on E---3.1_1324435 for (1782ds/267Mi) 12.26/2.34 % (1324706)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on E---3.1_1324435 for (1782ds/204Mi) 12.26/2.35 % (1324691)Instruction limit reached! 12.26/2.35 % (1324691)------------------------------ 12.26/2.35 % (1324691)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 12.26/2.35 % (1324691)Termination reason: Unknown 12.26/2.35 % (1324691)Termination phase: Saturation 12.26/2.35 12.26/2.35 % (1324691)Memory used [KB]: 6012 12.26/2.35 % (1324691)Time elapsed: 0.142 s 12.26/2.35 % (1324691)Instructions burned: 182 (million) 12.26/2.35 % (1324691)------------------------------ 12.26/2.35 % (1324691)------------------------------ 12.26/2.38 % (1324707)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on E---3.1_1324435 for (1781ds/26Mi) 12.55/2.40 % (1324707)Instruction limit reached! 12.55/2.40 % (1324707)------------------------------ 12.55/2.40 % (1324707)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 12.55/2.40 % (1324707)Termination reason: Unknown 12.55/2.40 % (1324707)Termination phase: Property scanning 12.55/2.40 12.55/2.40 % (1324707)Memory used [KB]: 1407 12.55/2.40 % (1324707)Time elapsed: 0.026 s 12.55/2.40 % (1324707)Instructions burned: 27 (million) 12.55/2.40 % (1324707)------------------------------ 12.55/2.40 % (1324707)------------------------------ 12.55/2.44 % (1324708)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on E---3.1_1324435 for (1781ds/53Mi) 12.55/2.48 % (1324708)Instruction limit reached! 12.55/2.48 % (1324708)------------------------------ 12.55/2.48 % (1324708)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 12.55/2.48 % (1324708)Termination reason: Unknown 12.55/2.48 % (1324708)Termination phase: Saturation 12.55/2.48 12.55/2.48 % (1324708)Memory used [KB]: 6012 12.55/2.48 % (1324708)Time elapsed: 0.047 s 12.55/2.48 % (1324708)Instructions burned: 54 (million) 12.55/2.48 % (1324708)------------------------------ 12.55/2.48 % (1324708)------------------------------ 12.79/2.51 % (1324706)Instruction limit reached! 12.79/2.51 % (1324706)------------------------------ 12.79/2.51 % (1324706)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 12.79/2.51 % (1324706)Termination reason: Unknown 12.79/2.51 % (1324706)Termination phase: Saturation 12.79/2.51 12.79/2.51 % (1324706)Memory used [KB]: 6524 12.79/2.51 % (1324706)Time elapsed: 0.176 s 12.79/2.51 % (1324706)Instructions burned: 204 (million) 12.79/2.51 % (1324706)------------------------------ 12.79/2.51 % (1324706)------------------------------ 12.79/2.52 % (1324718)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on E---3.1_1324435 for (1780ds/4436Mi) 12.79/2.53 % (1324703)Instruction limit reached! 12.79/2.53 % (1324703)------------------------------ 12.79/2.53 % (1324703)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 12.79/2.53 % (1324703)Termination reason: Unknown 12.79/2.53 % (1324703)Termination phase: Saturation 12.79/2.53 12.79/2.53 % (1324703)Memory used [KB]: 6652 12.79/2.53 % (1324703)Time elapsed: 0.216 s 12.79/2.53 % (1324703)Instructions burned: 267 (million) 12.79/2.53 % (1324703)------------------------------ 12.79/2.53 % (1324703)------------------------------ 12.79/2.54 % (1324719)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on E---3.1_1324435 for (1780ds/1539Mi) 12.79/2.56 % (1324720)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on E---3.1_1324435 for (1779ds/408Mi) 12.79/2.59 % (1324696)Instruction limit reached! 12.79/2.59 % (1324696)------------------------------ 12.79/2.59 % (1324696)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 12.79/2.59 % (1324696)Termination reason: Unknown 12.79/2.59 % (1324696)Termination phase: Saturation 12.79/2.59 12.79/2.59 % (1324696)Memory used [KB]: 7803 12.79/2.59 % (1324696)Time elapsed: 0.328 s 12.79/2.59 % (1324696)Instructions burned: 368 (million) 12.79/2.59 % (1324696)------------------------------ 12.79/2.59 % (1324696)------------------------------ 12.79/2.60 % (1324690)Instruction limit reached! 12.79/2.60 % (1324690)------------------------------ 12.79/2.60 % (1324690)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 12.79/2.60 % (1324690)Termination reason: Unknown 12.79/2.60 % (1324690)Termination phase: Saturation 12.79/2.60 12.79/2.60 % (1324690)Memory used [KB]: 10106 12.79/2.60 % (1324690)Time elapsed: 0.415 s 12.79/2.60 % (1324690)Instructions burned: 923 (million) 12.79/2.60 % (1324690)------------------------------ 12.79/2.60 % (1324690)------------------------------ 14.13/2.62 % (1324723)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on E---3.1_1324435 for (1779ds/5205Mi) 14.13/2.63 % (1324726)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on E---3.1_1324435 for (1779ds/1913Mi) 14.23/2.75 % (1324665)Instruction limit reached! 14.23/2.75 % (1324665)------------------------------ 14.23/2.75 % (1324665)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 14.23/2.75 % (1324665)Termination reason: Unknown 14.23/2.75 % (1324665)Termination phase: Saturation 14.23/2.75 14.23/2.75 % (1324665)Memory used [KB]: 6652 14.23/2.75 % (1324665)Time elapsed: 0.781 s 14.23/2.75 % (1324665)Instructions burned: 988 (million) 14.23/2.75 % (1324665)------------------------------ 14.23/2.75 % (1324665)------------------------------ 14.23/2.78 % (1324735)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on E---3.1_1324435 for (1777ds/4350Mi) 14.29/2.91 % (1324720)Instruction limit reached! 14.29/2.91 % (1324720)------------------------------ 14.29/2.91 % (1324720)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 14.29/2.91 % (1324720)Termination reason: Unknown 14.29/2.91 % (1324720)Termination phase: Saturation 14.29/2.91 14.29/2.91 % (1324720)Memory used [KB]: 6524 14.29/2.91 % (1324720)Time elapsed: 0.357 s 14.29/2.91 % (1324720)Instructions burned: 408 (million) 14.29/2.91 % (1324720)------------------------------ 14.29/2.91 % (1324720)------------------------------ 14.29/2.95 % (1324745)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=68:si=on:rtra=on_0 on E---3.1_1324435 for (1775ds/68Mi) 14.29/3.01 % (1324745)Instruction limit reached! 14.29/3.01 % (1324745)------------------------------ 14.29/3.01 % (1324745)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 14.29/3.01 % (1324745)Termination reason: Unknown 14.29/3.01 % (1324745)Termination phase: Saturation 14.29/3.01 14.29/3.01 % (1324745)Memory used [KB]: 6140 14.29/3.01 % (1324745)Time elapsed: 0.060 s 14.29/3.01 % (1324745)Instructions burned: 68 (million) 14.29/3.01 % (1324745)------------------------------ 14.29/3.01 % (1324745)------------------------------ 14.29/3.02 % (1324752)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on E---3.1_1324435 for (1775ds/358Mi) 18.51/3.17 % (1324752)Instruction limit reached! 18.51/3.17 % (1324752)------------------------------ 18.51/3.17 % (1324752)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 18.51/3.17 % (1324752)Termination reason: Unknown 18.51/3.17 % (1324752)Termination phase: Saturation 18.51/3.17 18.51/3.17 % (1324752)Memory used [KB]: 7291 18.51/3.17 % (1324752)Time elapsed: 0.153 s 18.51/3.17 % (1324752)Instructions burned: 359 (million) 18.51/3.17 % (1324752)------------------------------ 18.51/3.17 % (1324752)------------------------------ 18.51/3.19 % (1324700)Instruction limit reached! 18.51/3.19 % (1324700)------------------------------ 18.51/3.19 % (1324700)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 18.51/3.19 % (1324700)Termination reason: Unknown 18.51/3.19 % (1324700)Termination phase: Saturation 18.51/3.19 18.51/3.19 % (1324700)Memory used [KB]: 9850 18.51/3.19 % (1324700)Time elapsed: 0.891 s 18.51/3.19 % (1324700)Instructions burned: 1022 (million) 18.51/3.19 % (1324700)------------------------------ 18.51/3.19 % (1324700)------------------------------ 18.86/3.21 % (1324763)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on E---3.1_1324435 for (1773ds/279Mi) 18.86/3.21 % (1324762)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_1324435 for (1773ds/31Mi) 18.86/3.24 % (1324762)Instruction limit reached! 18.86/3.24 % (1324762)------------------------------ 18.86/3.24 % (1324762)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 18.86/3.24 % (1324762)Termination reason: Unknown 18.86/3.24 % (1324762)Termination phase: Property scanning 18.86/3.24 18.86/3.24 % (1324762)Memory used [KB]: 1535 18.86/3.24 % (1324762)Time elapsed: 0.030 s 18.86/3.24 % (1324762)Instructions burned: 32 (million) 18.86/3.24 % (1324762)------------------------------ 18.86/3.24 % (1324762)------------------------------ 18.86/3.24 % (1324763)Refutation not found, incomplete strategy 18.86/3.24 % (1324763)------------------------------ 18.86/3.24 % (1324763)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 18.86/3.24 % (1324763)Termination reason: Refutation not found, incomplete strategy 18.86/3.24 18.86/3.24 18.86/3.24 % (1324763)Memory used [KB]: 6396 18.86/3.24 % (1324763)Time elapsed: 0.032 s 18.86/3.24 % (1324763)Instructions burned: 72 (million) 18.86/3.24 % (1324763)------------------------------ 18.86/3.24 % (1324763)------------------------------ 18.86/3.27 % (1324764)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on E---3.1_1324435 for (1772ds/258Mi) 18.86/3.27 % (1324765)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on E---3.1_1324435 for (1772ds/26Mi) 18.86/3.29 % (1324765)Instruction limit reached! 18.86/3.29 % (1324765)------------------------------ 18.86/3.29 % (1324765)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 18.86/3.29 % (1324765)Termination reason: Unknown 18.86/3.29 % (1324765)Termination phase: Property scanning 18.86/3.29 18.86/3.29 % (1324765)Memory used [KB]: 1407 18.86/3.29 % (1324765)Time elapsed: 0.025 s 18.86/3.29 % (1324765)Instructions burned: 26 (million) 18.86/3.29 % (1324765)------------------------------ 18.86/3.29 % (1324765)------------------------------ 19.50/3.31 % (1324773)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on E---3.1_1324435 for (1772ds/995Mi) 20.49/3.53 % (1324764)Instruction limit reached! 20.49/3.53 % (1324764)------------------------------ 20.49/3.53 % (1324764)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 20.49/3.53 % (1324764)Termination reason: Unknown 20.49/3.53 % (1324764)Termination phase: Saturation 20.49/3.53 20.49/3.53 % (1324764)Memory used [KB]: 6780 20.49/3.53 % (1324764)Time elapsed: 0.259 s 20.49/3.53 % (1324764)Instructions burned: 258 (million) 20.49/3.53 % (1324764)------------------------------ 20.49/3.53 % (1324764)------------------------------ 20.49/3.56 % (1324785)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on E---3.1_1324435 for (1770ds/373Mi) 21.79/3.79 % (1324773)Refutation not found, non-redundant clauses discarded% (1324773)------------------------------ 21.79/3.79 % (1324773)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 21.79/3.79 % (1324773)Termination reason: Refutation not found, non-redundant clauses discarded 21.79/3.79 21.79/3.79 % (1324773)Memory used [KB]: 7164 21.79/3.79 % (1324773)Time elapsed: 0.498 s 21.79/3.79 % (1324773)Instructions burned: 989 (million) 21.79/3.79 % (1324773)------------------------------ 21.79/3.79 % (1324773)------------------------------ 22.77/3.81 % (1324804)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on E---3.1_1324435 for (1767ds/253Mi) 22.77/3.89 % (1324785)Instruction limit reached! 22.77/3.89 % (1324785)------------------------------ 22.77/3.89 % (1324785)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 22.77/3.89 % (1324785)Termination reason: Unknown 22.77/3.89 % (1324785)Termination phase: Saturation 22.77/3.89 22.77/3.89 % (1324785)Memory used [KB]: 7291 22.77/3.89 % (1324785)Time elapsed: 0.359 s 22.77/3.89 % (1324785)Instructions burned: 373 (million) 22.77/3.89 % (1324785)------------------------------ 22.77/3.89 % (1324785)------------------------------ 23.65/3.90 % (1324719)Instruction limit reached! 23.65/3.90 % (1324719)------------------------------ 23.65/3.90 % (1324719)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 23.65/3.90 % (1324719)Termination reason: Unknown 23.65/3.90 % (1324719)Termination phase: Saturation 23.65/3.90 23.65/3.90 % (1324719)Memory used [KB]: 11897 23.65/3.90 % (1324719)Time elapsed: 1.362 s 23.65/3.90 % (1324719)Instructions burned: 1539 (million) 23.65/3.90 % (1324719)------------------------------ 23.65/3.90 % (1324719)------------------------------ 23.65/3.91 % (1324804)Instruction limit reached! 23.65/3.91 % (1324804)------------------------------ 23.65/3.91 % (1324804)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 23.65/3.91 % (1324804)Termination reason: Unknown 23.65/3.91 % (1324804)Termination phase: Saturation 23.65/3.91 23.65/3.91 % (1324804)Memory used [KB]: 6140 23.65/3.91 % (1324804)Time elapsed: 0.104 s 23.65/3.91 % (1324804)Instructions burned: 253 (million) 23.65/3.91 % (1324804)------------------------------ 23.65/3.91 % (1324804)------------------------------ 23.65/3.92 % (1324811)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=40:si=on:rtra=on_0 on E---3.1_1324435 for (1766ds/40Mi) 23.65/3.93 % (1324808)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on E---3.1_1324435 for (1766ds/832Mi) 23.65/3.94 % (1324810)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on E---3.1_1324435 for (1766ds/668Mi) 23.65/3.94 % (1324811)Instruction limit reached! 23.65/3.94 % (1324811)------------------------------ 23.65/3.94 % (1324811)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 23.65/3.94 % (1324811)Termination reason: Unknown 23.65/3.94 % (1324811)Termination phase: Saturation 23.65/3.94 23.65/3.94 % (1324811)Memory used [KB]: 6012 23.65/3.94 % (1324811)Time elapsed: 0.020 s 23.65/3.94 % (1324811)Instructions burned: 40 (million) 23.65/3.94 % (1324811)------------------------------ 23.65/3.94 % (1324811)------------------------------ 23.65/3.96 % (1324817)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on E---3.1_1324435 for (1765ds/294Mi) 23.65/3.97 % (1324808)Refutation not found, incomplete strategy 23.65/3.97 % (1324808)------------------------------ 23.65/3.97 % (1324808)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 23.65/3.97 % (1324808)Termination reason: Refutation not found, incomplete strategy 23.65/3.97 23.65/3.97 23.65/3.97 % (1324808)Memory used [KB]: 6012 23.65/3.97 % (1324808)Time elapsed: 0.047 s 23.65/3.97 % (1324808)Instructions burned: 50 (million) 23.65/3.97 % (1324808)------------------------------ 23.65/3.97 % (1324808)------------------------------ 23.65/4.01 % (1324818)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on E---3.1_1324435 for (1765ds/187Mi) 23.65/4.08 % (1324817)Instruction limit reached! 23.65/4.08 % (1324817)------------------------------ 23.65/4.08 % (1324817)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 23.65/4.08 % (1324817)Termination reason: Unknown 23.65/4.08 % (1324817)Termination phase: Saturation 23.65/4.08 23.65/4.08 % (1324817)Memory used [KB]: 6396 23.65/4.08 % (1324817)Time elapsed: 0.122 s 23.65/4.08 % (1324817)Instructions burned: 296 (million) 23.65/4.08 % (1324817)------------------------------ 23.65/4.08 % (1324817)------------------------------ 25.06/4.10 % (1324824)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on E---3.1_1324435 for (1764ds/371Mi) 25.06/4.11 % (1324824)Refutation not found, incomplete strategy 25.06/4.11 % (1324824)------------------------------ 25.06/4.11 % (1324824)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 25.06/4.11 % (1324824)Termination reason: Refutation not found, incomplete strategy 25.06/4.11 25.06/4.11 25.06/4.11 % (1324824)Memory used [KB]: 6012 25.06/4.11 % (1324824)Time elapsed: 0.016 s 25.06/4.11 % (1324824)Instructions burned: 31 (million) 25.06/4.11 % (1324824)------------------------------ 25.06/4.11 % (1324824)------------------------------ 25.06/4.15 % (1324829)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on E---3.1_1324435 for (1764ds/1827Mi) 25.71/4.22 % (1324818)Instruction limit reached! 25.71/4.22 % (1324818)------------------------------ 25.71/4.22 % (1324818)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 25.71/4.22 % (1324818)Termination reason: Unknown 25.71/4.22 % (1324818)Termination phase: Saturation 25.71/4.22 25.71/4.22 % (1324818)Memory used [KB]: 6524 25.71/4.22 % (1324818)Time elapsed: 0.217 s 25.71/4.22 % (1324818)Instructions burned: 187 (million) 25.71/4.22 % (1324818)------------------------------ 25.71/4.22 % (1324818)------------------------------ 25.71/4.24 % (1324830)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on E---3.1_1324435 for (1763ds/70Mi) 25.71/4.26 % (1324830)Instruction limit reached! 25.71/4.26 % (1324830)------------------------------ 25.71/4.26 % (1324830)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 25.71/4.26 % (1324830)Termination reason: Unknown 25.71/4.26 % (1324830)Termination phase: Saturation 25.71/4.26 25.71/4.26 % (1324830)Memory used [KB]: 1663 25.71/4.26 % (1324830)Time elapsed: 0.033 s 25.71/4.26 % (1324830)Instructions burned: 71 (million) 25.71/4.26 % (1324830)------------------------------ 25.71/4.26 % (1324830)------------------------------ 25.71/4.28 % (1324840)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on E---3.1_1324435 for (1762ds/316Mi) 26.29/4.32 % (1324840)Refutation not found, incomplete strategy 26.29/4.32 % (1324840)------------------------------ 26.29/4.32 % (1324840)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 26.29/4.32 % (1324840)Termination reason: Refutation not found, incomplete strategy 26.29/4.32 26.29/4.32 26.29/4.32 % (1324840)Memory used [KB]: 6268 26.29/4.32 % (1324840)Time elapsed: 0.042 s 26.29/4.32 % (1324840)Instructions burned: 87 (million) 26.29/4.32 % (1324840)------------------------------ 26.29/4.32 % (1324840)------------------------------ 26.29/4.34 % (1324841)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on E---3.1_1324435 for (1761ds/932Mi) 26.29/4.37 % (1324726)Instruction limit reached! 26.29/4.37 % (1324726)------------------------------ 26.29/4.37 % (1324726)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 26.29/4.37 % (1324726)Termination reason: Unknown 26.29/4.37 % (1324726)Termination phase: Saturation 26.29/4.37 26.29/4.37 % (1324726)Memory used [KB]: 7164 26.29/4.37 % (1324726)Time elapsed: 1.740 s 26.29/4.37 % (1324726)Instructions burned: 1913 (million) 26.29/4.37 % (1324726)------------------------------ 26.29/4.37 % (1324726)------------------------------ 26.85/4.41 % (1324844)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on E---3.1_1324435 for (1761ds/4714Mi) 26.85/4.47 % (1324844)Refutation not found, incomplete strategy 26.85/4.47 % (1324844)------------------------------ 26.85/4.47 % (1324844)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 26.85/4.47 % (1324844)Termination reason: Refutation not found, incomplete strategy 26.85/4.47 26.85/4.47 26.85/4.47 % (1324844)Memory used [KB]: 6396 26.85/4.47 % (1324844)Time elapsed: 0.062 s 26.85/4.47 % (1324844)Instructions burned: 67 (million) 26.85/4.47 % (1324844)------------------------------ 26.85/4.47 % (1324844)------------------------------ 26.85/4.49 % (1324810)Instruction limit reached! 26.85/4.49 % (1324810)------------------------------ 26.85/4.49 % (1324810)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 26.85/4.49 % (1324810)Termination reason: Unknown 26.85/4.49 % (1324810)Termination phase: Saturation 26.85/4.49 26.85/4.49 % (1324810)Memory used [KB]: 11513 26.85/4.49 % (1324810)Time elapsed: 0.555 s 26.85/4.49 % (1324810)Instructions burned: 668 (million) 26.85/4.49 % (1324810)------------------------------ 26.85/4.49 % (1324810)------------------------------ 27.36/4.50 % (1324852)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on E---3.1_1324435 for (1760ds/8250Mi) 27.36/4.52 % (1324853)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on E---3.1_1324435 for (1760ds/770Mi) 27.36/4.55 % (1324853)Refutation not found, incomplete strategy 27.36/4.55 % (1324853)------------------------------ 27.36/4.55 % (1324853)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 27.36/4.55 % (1324853)Termination reason: Refutation not found, incomplete strategy 27.36/4.55 27.36/4.55 27.36/4.55 % (1324853)Memory used [KB]: 6012 27.36/4.55 % (1324853)Time elapsed: 0.029 s 27.36/4.55 % (1324853)Instructions burned: 30 (million) 27.36/4.55 % (1324853)------------------------------ 27.36/4.55 % (1324853)------------------------------ 27.36/4.58 % (1324856)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on E---3.1_1324435 for (1759ds/794Mi) 27.72/4.63 % (1324856)Refutation not found, incomplete strategy 27.72/4.63 % (1324856)------------------------------ 27.72/4.63 % (1324856)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 27.72/4.63 % (1324856)Termination reason: Refutation not found, incomplete strategy 27.72/4.63 27.72/4.63 27.72/4.63 % (1324856)Memory used [KB]: 1535 27.72/4.63 % (1324856)Time elapsed: 0.054 s 27.72/4.64 % (1324856)Instructions burned: 55 (million) 27.72/4.64 % (1324856)------------------------------ 27.72/4.64 % (1324856)------------------------------ 27.72/4.67 % (1324864)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on E---3.1_1324435 for (1758ds/464Mi) 28.11/4.73 % (1324841)Instruction limit reached! 28.11/4.73 % (1324841)------------------------------ 28.11/4.73 % (1324841)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 28.11/4.73 % (1324841)Termination reason: Unknown 28.11/4.73 % (1324841)Termination phase: Saturation 28.11/4.73 28.11/4.73 % (1324841)Memory used [KB]: 7036 28.11/4.73 % (1324841)Time elapsed: 0.386 s 28.11/4.73 % (1324841)Instructions burned: 934 (million) 28.11/4.73 % (1324841)------------------------------ 28.11/4.73 % (1324841)------------------------------ 28.11/4.75 % (1324865)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on E---3.1_1324435 for (1758ds/1376Mi) 31.83/5.08 % (1324864)Instruction limit reached! 31.83/5.08 % (1324864)------------------------------ 31.83/5.08 % (1324864)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 31.83/5.08 % (1324864)Termination reason: Unknown 31.83/5.08 % (1324864)Termination phase: Saturation 31.83/5.08 31.83/5.08 % (1324864)Memory used [KB]: 7164 31.83/5.08 % (1324864)Time elapsed: 0.416 s 31.83/5.08 % (1324864)Instructions burned: 464 (million) 31.83/5.08 % (1324864)------------------------------ 31.83/5.08 % (1324864)------------------------------ 31.83/5.12 % (1324884)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on E---3.1_1324435 for (1754ds/906Mi) 32.69/5.26 % (1324865)Instruction limit reached! 32.69/5.26 % (1324865)------------------------------ 32.69/5.26 % (1324865)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 32.69/5.26 % (1324865)Termination reason: Unknown 32.69/5.26 % (1324865)Termination phase: Saturation 32.69/5.26 32.69/5.26 % (1324865)Memory used [KB]: 6908 32.69/5.26 % (1324865)Time elapsed: 0.543 s 32.69/5.26 % (1324865)Instructions burned: 1378 (million) 32.69/5.26 % (1324865)------------------------------ 32.69/5.26 % (1324865)------------------------------ 32.69/5.28 % (1324896)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on E---3.1_1324435 for (1752ds/434Mi) 32.69/5.29 % (1324896)Refutation not found, incomplete strategy 32.69/5.29 % (1324896)------------------------------ 32.69/5.29 % (1324896)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 32.69/5.29 % (1324896)Termination reason: Refutation not found, incomplete strategy 32.69/5.29 32.69/5.29 32.69/5.29 % (1324896)Memory used [KB]: 6012 32.69/5.29 % (1324896)Time elapsed: 0.017 s 32.69/5.29 % (1324896)Instructions burned: 33 (million) 32.69/5.29 % (1324896)------------------------------ 32.69/5.29 % (1324896)------------------------------ 33.31/5.31 % (1324903)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on E---3.1_1324435 for (1752ds/865Mi) 34.81/5.68 % (1324903)Instruction limit reached! 34.81/5.68 % (1324903)------------------------------ 34.81/5.68 % (1324903)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 34.81/5.68 % (1324903)Termination reason: Unknown 34.81/5.68 % (1324903)Termination phase: Saturation 34.81/5.68 34.81/5.68 % (1324903)Memory used [KB]: 8699 34.81/5.68 % (1324903)Time elapsed: 0.374 s 34.81/5.68 % (1324903)Instructions burned: 866 (million) 34.81/5.68 % (1324903)------------------------------ 34.81/5.68 % (1324903)------------------------------ 34.81/5.70 % (1324923)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on E---3.1_1324435 for (1748ds/593Mi) 35.71/5.79 % (1324829)Instruction limit reached! 35.71/5.79 % (1324829)------------------------------ 35.71/5.79 % (1324829)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 35.71/5.79 % (1324829)Termination reason: Unknown 35.71/5.79 % (1324829)Termination phase: Saturation 35.71/5.79 35.71/5.79 % (1324829)Memory used [KB]: 12792 35.71/5.79 % (1324829)Time elapsed: 1.643 s 35.71/5.79 % (1324829)Instructions burned: 1827 (million) 35.71/5.79 % (1324829)------------------------------ 35.71/5.79 % (1324829)------------------------------ 36.21/5.83 % (1324928)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on E---3.1_1324435 for (1747ds/443Mi) 36.61/5.93 % (1324884)Instruction limit reached! 36.61/5.93 % (1324884)------------------------------ 36.61/5.93 % (1324884)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 36.61/5.93 % (1324884)Termination reason: Unknown 36.61/5.93 % (1324884)Termination phase: Saturation 36.61/5.93 36.61/5.93 % (1324884)Memory used [KB]: 10106 36.61/5.93 % (1324884)Time elapsed: 0.812 s 36.61/5.93 % (1324884)Instructions burned: 906 (million) 36.61/5.93 % (1324884)------------------------------ 36.61/5.93 % (1324884)------------------------------ 36.61/5.96 % (1324923)Instruction limit reached! 36.61/5.96 % (1324923)------------------------------ 36.61/5.96 % (1324923)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 36.61/5.96 % (1324923)Termination reason: Unknown 36.61/5.96 % (1324923)Termination phase: Saturation 36.61/5.96 36.61/5.96 % (1324923)Memory used [KB]: 7036 36.61/5.96 % (1324923)Time elapsed: 0.265 s 36.61/5.96 % (1324923)Instructions burned: 594 (million) 36.61/5.96 % (1324923)------------------------------ 36.61/5.96 % (1324923)------------------------------ 36.61/5.96 % (1324934)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on E---3.1_1324435 for (1745ds/594Mi) 36.61/5.98 % (1324937)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on E---3.1_1324435 for (1745ds/327Mi) 38.80/6.13 % (1324937)Instruction limit reached! 38.80/6.13 % (1324937)------------------------------ 38.80/6.13 % (1324937)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 38.80/6.13 % (1324937)Termination reason: Unknown 38.80/6.13 % (1324937)Termination phase: Saturation 38.80/6.13 38.80/6.13 % (1324937)Memory used [KB]: 8187 38.80/6.13 % (1324937)Time elapsed: 0.150 s 38.80/6.13 % (1324937)Instructions burned: 328 (million) 38.80/6.13 % (1324937)------------------------------ 38.80/6.13 % (1324937)------------------------------ 38.80/6.15 % (1324945)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on E---3.1_1324435 for (1743ds/5411Mi) 39.49/6.16 % (1324945)Refutation not found, incomplete strategy 39.49/6.16 % (1324945)------------------------------ 39.49/6.16 % (1324945)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 39.49/6.16 % (1324945)Termination reason: Refutation not found, incomplete strategy 39.49/6.16 39.49/6.16 39.49/6.16 % (1324945)Memory used [KB]: 6012 39.49/6.16 % (1324945)Time elapsed: 0.016 s 39.49/6.16 % (1324945)Instructions burned: 30 (million) 39.49/6.16 % (1324945)------------------------------ 39.49/6.16 % (1324945)------------------------------ 39.49/6.18 % (1324952)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on E---3.1_1324435 for (1743ds/1762Mi) 39.79/6.22 % (1324928)Instruction limit reached! 39.79/6.22 % (1324928)------------------------------ 39.79/6.22 % (1324928)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 39.79/6.22 % (1324928)Termination reason: Unknown 39.79/6.22 % (1324928)Termination phase: Saturation 39.79/6.22 39.79/6.22 % (1324928)Memory used [KB]: 7547 39.79/6.22 % (1324928)Time elapsed: 0.394 s 39.79/6.22 % (1324928)Instructions burned: 443 (million) 39.79/6.22 % (1324928)------------------------------ 39.79/6.22 % (1324928)------------------------------ 39.79/6.25 % (1324956)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on E---3.1_1324435 for (1742ds/96Mi) 40.34/6.35 % (1324956)Instruction limit reached! 40.34/6.35 % (1324956)------------------------------ 40.34/6.35 % (1324956)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 40.34/6.35 % (1324956)Termination reason: Unknown 40.34/6.35 % (1324956)Termination phase: Saturation 40.34/6.35 40.34/6.35 % (1324956)Memory used [KB]: 6268 40.34/6.35 % (1324956)Time elapsed: 0.097 s 40.34/6.35 % (1324956)Instructions burned: 96 (million) 40.34/6.35 % (1324956)------------------------------ 40.34/6.35 % (1324956)------------------------------ 40.34/6.38 % (1324966)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on E---3.1_1324435 for (1741ds/503Mi) 40.96/6.41 % (1324966)Refutation not found, incomplete strategy 40.96/6.41 % (1324966)------------------------------ 40.96/6.41 % (1324966)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 40.96/6.41 % (1324966)Termination reason: Refutation not found, incomplete strategy 40.96/6.41 40.96/6.41 40.96/6.41 % (1324966)Memory used [KB]: 6012 40.96/6.41 % (1324966)Time elapsed: 0.032 s 40.96/6.41 % (1324966)Instructions burned: 32 (million) 40.96/6.41 % (1324966)------------------------------ 40.96/6.41 % (1324966)------------------------------ 40.96/6.44 % (1324967)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_1324435 for (1741ds/90Mi) 40.96/6.48 % (1324934)Instruction limit reached! 40.96/6.48 % (1324934)------------------------------ 40.96/6.48 % (1324934)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 40.96/6.48 % (1324934)Termination reason: Unknown 40.96/6.48 % (1324934)Termination phase: Saturation 40.96/6.48 40.96/6.48 % (1324934)Memory used [KB]: 8187 40.96/6.48 % (1324934)Time elapsed: 0.519 s 40.96/6.48 % (1324934)Instructions burned: 594 (million) 40.96/6.48 % (1324934)------------------------------ 40.96/6.48 % (1324934)------------------------------ 40.96/6.49 % (1324718)Instruction limit reached! 40.96/6.49 % (1324718)------------------------------ 40.96/6.49 % (1324718)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 40.96/6.49 % (1324718)Termination reason: Unknown 40.96/6.49 % (1324718)Termination phase: Saturation 40.96/6.49 40.96/6.49 % (1324718)Memory used [KB]: 19189 40.96/6.49 % (1324718)Time elapsed: 3.975 s 40.96/6.49 % (1324718)Instructions burned: 4436 (million) 40.96/6.49 % (1324718)------------------------------ 40.96/6.49 % (1324718)------------------------------ 41.52/6.51 % (1324973)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on E---3.1_1324435 for (1740ds/593Mi) 41.52/6.52 % (1324975)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on E---3.1_1324435 for (1740ds/1512Mi) 41.52/6.52 % (1324967)Instruction limit reached! 41.52/6.52 % (1324967)------------------------------ 41.52/6.52 % (1324967)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 41.52/6.52 % (1324967)Termination reason: Unknown 41.52/6.52 % (1324967)Termination phase: Saturation 41.52/6.52 41.52/6.52 % (1324967)Memory used [KB]: 6140 41.52/6.52 % (1324967)Time elapsed: 0.086 s 41.52/6.52 % (1324967)Instructions burned: 90 (million) 41.52/6.52 % (1324967)------------------------------ 41.52/6.52 % (1324967)------------------------------ 41.52/6.56 % (1324979)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on E---3.1_1324435 for (1739ds/569Mi) 41.95/6.60 % (1324975)Refutation not found, incomplete strategy 41.95/6.60 % (1324975)------------------------------ 41.95/6.60 % (1324975)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 41.95/6.60 % (1324975)Termination reason: Refutation not found, incomplete strategy 41.95/6.60 41.95/6.60 41.95/6.60 % (1324975)Memory used [KB]: 6140 41.95/6.60 % (1324975)Time elapsed: 0.081 s 41.95/6.60 % (1324975)Instructions burned: 84 (million) 41.95/6.60 % (1324975)------------------------------ 41.95/6.60 % (1324975)------------------------------ 41.95/6.64 % (1324980)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on E---3.1_1324435 for (1739ds/501Mi) 41.95/6.68 % (1324980)Refutation not found, incomplete strategy 41.95/6.68 % (1324980)------------------------------ 41.95/6.68 % (1324980)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 41.95/6.68 % (1324980)Termination reason: Refutation not found, incomplete strategy 41.95/6.68 41.95/6.68 41.95/6.68 % (1324980)Memory used [KB]: 6012 41.95/6.68 % (1324980)Time elapsed: 0.051 s 41.95/6.68 % (1324980)Instructions burned: 57 (million) 41.95/6.68 % (1324980)------------------------------ 41.95/6.68 % (1324980)------------------------------ 42.43/6.71 % (1324735)Instruction limit reached! 42.43/6.71 % (1324735)------------------------------ 42.43/6.71 % (1324735)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 42.43/6.71 % (1324735)Termination reason: Unknown 42.43/6.71 % (1324735)Termination phase: Saturation 42.43/6.71 42.43/6.71 % (1324735)Memory used [KB]: 19701 42.43/6.71 % (1324735)Time elapsed: 3.929 s 42.43/6.71 % (1324735)Instructions burned: 4350 (million) 42.43/6.71 % (1324735)------------------------------ 42.43/6.71 % (1324735)------------------------------ 42.43/6.72 % (1324988)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on E---3.1_1324435 for (1738ds/562Mi) 42.43/6.75 % (1324991)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on E---3.1_1324435 for (1738ds/406Mi) 42.66/6.84 % (1324991)Refutation not found, incomplete strategy 42.66/6.84 % (1324991)------------------------------ 42.66/6.84 % (1324991)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 42.66/6.84 % (1324991)Termination reason: Refutation not found, incomplete strategy 42.66/6.84 42.66/6.84 42.66/6.84 % (1324991)Memory used [KB]: 6268 42.66/6.84 % (1324991)Time elapsed: 0.093 s 42.66/6.84 % (1324991)Instructions burned: 103 (million) 42.66/6.84 % (1324991)------------------------------ 42.66/6.84 % (1324991)------------------------------ 42.66/6.86 % (1324952)Instruction limit reached! 42.66/6.86 % (1324952)------------------------------ 42.66/6.86 % (1324952)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 42.66/6.86 % (1324952)Termination reason: Unknown 42.66/6.86 % (1324952)Termination phase: Saturation 42.66/6.86 42.66/6.86 % (1324952)Memory used [KB]: 7803 42.66/6.86 % (1324952)Time elapsed: 0.687 s 42.66/6.86 % (1324952)Instructions burned: 1763 (million) 42.66/6.86 % (1324952)------------------------------ 42.66/6.86 % (1324952)------------------------------ 42.66/6.87 % (1324995)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on E---3.1_1324435 for (1736ds/582Mi) 42.66/6.88 % (1324999)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on E---3.1_1324435 for (1736ds/456Mi) 43.70/7.04 % (1324973)Instruction limit reached! 43.70/7.04 % (1324973)------------------------------ 43.70/7.04 % (1324973)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 43.70/7.04 % (1324973)Termination reason: Unknown 43.70/7.04 % (1324973)Termination phase: Saturation 43.70/7.04 43.70/7.04 % (1324973)Memory used [KB]: 8187 43.70/7.04 % (1324973)Time elapsed: 0.527 s 43.70/7.04 % (1324973)Instructions burned: 593 (million) 43.70/7.04 % (1324973)------------------------------ 43.70/7.04 % (1324973)------------------------------ 43.70/7.07 % (1324979)Instruction limit reached! 43.70/7.07 % (1324979)------------------------------ 43.70/7.07 % (1324979)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 43.70/7.07 % (1324979)Termination reason: Unknown 43.70/7.07 % (1324979)Termination phase: Saturation 43.70/7.07 43.70/7.07 % (1324979)Memory used [KB]: 6780 43.70/7.07 % (1324979)Time elapsed: 0.514 s 43.70/7.07 % (1324979)Instructions burned: 569 (million) 43.70/7.07 % (1324979)------------------------------ 43.70/7.07 % (1324979)------------------------------ 43.70/7.07 % (1325007)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on E---3.1_1324435 for (1734ds/393Mi) 43.70/7.08 % (1324999)Instruction limit reached! 43.70/7.08 % (1324999)------------------------------ 43.70/7.08 % (1324999)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 43.70/7.08 % (1324999)Termination reason: Unknown 43.70/7.08 % (1324999)Termination phase: Saturation 43.70/7.08 43.70/7.08 % (1324999)Memory used [KB]: 7419 43.70/7.08 % (1324999)Time elapsed: 0.205 s 43.70/7.08 % (1324999)Instructions burned: 456 (million) 43.70/7.08 % (1324999)------------------------------ 43.70/7.08 % (1324999)------------------------------ 43.70/7.10 % (1325011)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on E---3.1_1324435 for (1734ds/1335Mi) 46.07/7.13 % (1324723)Instruction limit reached! 46.07/7.13 % (1324723)------------------------------ 46.07/7.13 % (1324723)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 46.07/7.13 % (1324723)Termination reason: Unknown 46.07/7.13 % (1324723)Termination phase: Saturation 46.07/7.13 46.07/7.13 % (1324723)Memory used [KB]: 10490 46.07/7.13 % (1324723)Time elapsed: 4.525 s 46.07/7.13 % (1324723)Instructions burned: 5205 (million) 46.07/7.13 % (1324723)------------------------------ 46.07/7.13 % (1324723)------------------------------ 46.07/7.13 % (1325013)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on E---3.1_1324435 for (1734ds/3373Mi) 46.07/7.14 % (1325011)Refutation not found, incomplete strategy 46.07/7.14 % (1325011)------------------------------ 46.07/7.14 % (1325011)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 46.07/7.14 % (1325011)Termination reason: Refutation not found, incomplete strategy 46.07/7.14 46.07/7.14 46.07/7.14 % (1325011)Memory used [KB]: 6012 46.07/7.14 % (1325011)Time elapsed: 0.035 s 46.07/7.14 % (1325011)Instructions burned: 37 (million) 46.07/7.14 % (1325011)------------------------------ 46.07/7.14 % (1325011)------------------------------ 46.07/7.17 % (1325015)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on E---3.1_1324435 for (1733ds/474Mi) 46.07/7.17 % (1325016)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on E---3.1_1324435 for (1733ds/157Mi) 46.48/7.22 % (1324988)Instruction limit reached! 46.48/7.22 % (1324988)------------------------------ 46.48/7.22 % (1324988)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 46.48/7.22 % (1324988)Termination reason: Unknown 46.48/7.22 % (1324988)Termination phase: Saturation 46.48/7.22 46.48/7.22 % (1324988)Memory used [KB]: 7164 46.48/7.22 % (1324988)Time elapsed: 0.507 s 46.48/7.22 % (1324988)Instructions burned: 563 (million) 46.48/7.22 % (1324988)------------------------------ 46.48/7.22 % (1324988)------------------------------ 46.48/7.26 % (1325019)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on E---3.1_1324435 for (1732ds/590Mi) 46.48/7.27 % (1324995)Instruction limit reached! 46.48/7.27 % (1324995)------------------------------ 46.48/7.27 % (1324995)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 46.48/7.27 % (1324995)Termination reason: Unknown 46.48/7.27 % (1324995)Termination phase: Saturation 46.48/7.27 46.48/7.27 % (1324995)Memory used [KB]: 8059 46.48/7.27 % (1324995)Time elapsed: 0.367 s 46.48/7.27 % (1324995)Instructions burned: 582 (million) 46.48/7.27 % (1324995)------------------------------ 46.48/7.27 % (1324995)------------------------------ 46.48/7.29 % (1325016)Instruction limit reached! 46.48/7.29 % (1325016)------------------------------ 46.48/7.29 % (1325016)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 46.48/7.29 % (1325016)Termination reason: Unknown 46.48/7.29 % (1325016)Termination phase: Saturation 46.48/7.29 46.48/7.29 % (1325016)Memory used [KB]: 6012 46.48/7.29 % (1325016)Time elapsed: 0.125 s 46.48/7.29 % (1325016)Instructions burned: 157 (million) 46.48/7.29 % (1325016)------------------------------ 46.48/7.29 % (1325016)------------------------------ 46.79/7.30 % (1325027)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on E---3.1_1324435 for (1732ds/104Mi) 46.79/7.31 % (1325028)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on E---3.1_1324435 for (1732ds/414Mi) 46.79/7.39 % (1325027)Instruction limit reached! 46.79/7.39 % (1325027)------------------------------ 46.79/7.39 % (1325027)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 46.79/7.39 % (1325027)Termination reason: Unknown 46.79/7.39 % (1325027)Termination phase: Saturation 46.79/7.39 46.79/7.39 % (1325027)Memory used [KB]: 6140 46.79/7.39 % (1325027)Time elapsed: 0.089 s 46.79/7.39 % (1325027)Instructions burned: 104 (million) 46.79/7.39 % (1325027)------------------------------ 46.79/7.39 % (1325027)------------------------------ 47.01/7.40 % (1325007)Instruction limit reached! 47.01/7.40 % (1325007)------------------------------ 47.01/7.40 % (1325007)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 47.01/7.40 % (1325007)Termination reason: Unknown 47.01/7.40 % (1325007)Termination phase: Saturation 47.01/7.40 47.01/7.40 % (1325007)Memory used [KB]: 6396 47.01/7.40 % (1325007)Time elapsed: 0.331 s 47.01/7.40 % (1325007)Instructions burned: 393 (million) 47.01/7.40 % (1325007)------------------------------ 47.01/7.40 % (1325007)------------------------------ 47.01/7.42 % (1325030)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on E---3.1_1324435 for (1731ds/715Mi) 47.01/7.43 % (1325033)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on E---3.1_1324435 for (1731ds/961Mi) 47.01/7.47 % (1325028)Instruction limit reached! 47.01/7.47 % (1325028)------------------------------ 47.01/7.47 % (1325028)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 47.01/7.47 % (1325028)Termination reason: Unknown 47.01/7.47 % (1325028)Termination phase: Saturation 47.01/7.47 47.01/7.47 % (1325028)Memory used [KB]: 6268 47.01/7.47 % (1325028)Time elapsed: 0.171 s 47.01/7.47 % (1325028)Instructions burned: 414 (million) 47.01/7.47 % (1325028)------------------------------ 47.01/7.47 % (1325028)------------------------------ 47.01/7.49 % (1325040)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on E---3.1_1324435 for (1730ds/1213Mi) 47.67/7.54 % (1325015)Instruction limit reached! 47.67/7.54 % (1325015)------------------------------ 47.67/7.54 % (1325015)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 47.67/7.54 % (1325015)Termination reason: Unknown 47.67/7.54 % (1325015)Termination phase: Saturation 47.67/7.54 47.67/7.54 % (1325015)Memory used [KB]: 6652 47.67/7.54 % (1325015)Time elapsed: 0.381 s 47.67/7.54 % (1325015)Instructions burned: 475 (million) 47.67/7.54 % (1325015)------------------------------ 47.67/7.54 % (1325015)------------------------------ 47.67/7.58 % (1325041)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on E---3.1_1324435 for (1729ds/1979Mi) 48.29/7.74 % (1325019)Instruction limit reached! 48.29/7.74 % (1325019)------------------------------ 48.29/7.74 % (1325019)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 48.29/7.74 % (1325019)Termination reason: Unknown 48.29/7.74 % (1325019)Termination phase: Saturation 48.29/7.74 48.29/7.74 % (1325019)Memory used [KB]: 7036 48.29/7.74 % (1325019)Time elapsed: 0.489 s 48.29/7.74 % (1325019)Instructions burned: 590 (million) 48.29/7.74 % (1325019)------------------------------ 48.29/7.74 % (1325019)------------------------------ 48.29/7.78 % (1325051)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on E---3.1_1324435 for (1727ds/481Mi) 49.11/8.05 % (1325030)Instruction limit reached! 49.11/8.05 % (1325030)------------------------------ 49.11/8.05 % (1325030)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 49.11/8.05 % (1325030)Termination reason: Unknown 49.11/8.05 % (1325030)Termination phase: Saturation 49.11/8.05 49.11/8.05 % (1325030)Memory used [KB]: 4605 49.11/8.05 % (1325030)Time elapsed: 0.628 s 49.11/8.05 % (1325030)Instructions burned: 716 (million) 49.11/8.05 % (1325030)------------------------------ 49.11/8.05 % (1325030)------------------------------ 49.11/8.07 % (1325040)Instruction limit reached! 49.11/8.07 % (1325040)------------------------------ 49.11/8.07 % (1325040)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 49.11/8.07 % (1325040)Termination reason: Unknown 49.11/8.07 % (1325040)Termination phase: Saturation 49.11/8.07 49.11/8.07 % (1325040)Memory used [KB]: 7036 49.11/8.07 % (1325040)Time elapsed: 0.580 s 49.11/8.07 % (1325040)Instructions burned: 1213 (million) 49.11/8.07 % (1325040)------------------------------ 49.11/8.07 % (1325040)------------------------------ 49.11/8.08 % (1325070)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on E---3.1_1324435 for (1724ds/783Mi) 49.11/8.09 % (1325071)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on E---3.1_1324435 for (1724ds/432Mi) 49.11/8.10 % (1325071)Refutation not found, incomplete strategy 49.11/8.10 % (1325071)------------------------------ 49.11/8.10 % (1325071)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 49.11/8.10 % (1325071)Termination reason: Refutation not found, incomplete strategy 49.11/8.10 49.11/8.10 49.11/8.10 % (1325071)Memory used [KB]: 6012 49.11/8.10 % (1325071)Time elapsed: 0.017 s 49.11/8.10 % (1325071)Instructions burned: 30 (million) 49.11/8.10 % (1325071)------------------------------ 49.11/8.10 % (1325071)------------------------------ 49.11/8.12 % (1325072)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on E---3.1_1324435 for (1724ds/1670Mi) 49.11/8.14 % (1325051)Instruction limit reached! 49.11/8.14 % (1325051)------------------------------ 49.11/8.14 % (1325051)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 49.11/8.14 % (1325051)Termination reason: Unknown 49.11/8.14 % (1325051)Termination phase: Saturation 49.11/8.14 49.11/8.14 % (1325051)Memory used [KB]: 6396 49.11/8.14 % (1325051)Time elapsed: 0.364 s 49.11/8.14 % (1325051)Instructions burned: 482 (million) 49.11/8.14 % (1325051)------------------------------ 49.11/8.14 % (1325051)------------------------------ 49.11/8.17 % (1325073)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on E---3.1_1324435 for (1723ds/90Mi) 53.50/8.24 % (1325073)Instruction limit reached! 53.50/8.24 % (1325073)------------------------------ 53.50/8.24 % (1325073)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 53.50/8.24 % (1325073)Termination reason: Unknown 53.50/8.24 % (1325073)Termination phase: Saturation 53.50/8.24 53.50/8.24 % (1325073)Memory used [KB]: 6012 53.50/8.24 % (1325073)Time elapsed: 0.077 s 53.50/8.24 % (1325073)Instructions burned: 91 (million) 53.50/8.24 % (1325073)------------------------------ 53.50/8.24 % (1325073)------------------------------ 54.11/8.28 % (1325083)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on E---3.1_1324435 for (1722ds/346Mi) 54.11/8.28 % (1325033)Instruction limit reached! 54.11/8.28 % (1325033)------------------------------ 54.11/8.28 % (1325033)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 54.11/8.28 % (1325033)Termination reason: Unknown 54.11/8.28 % (1325033)Termination phase: Saturation 54.11/8.28 54.11/8.28 % (1325033)Memory used [KB]: 9594 54.11/8.28 % (1325033)Time elapsed: 0.850 s 54.11/8.28 % (1325033)Instructions burned: 962 (million) 54.11/8.28 % (1325033)------------------------------ 54.11/8.28 % (1325033)------------------------------ 54.23/8.32 % (1325084)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on E---3.1_1324435 for (1722ds/401Mi) 55.01/8.56 % (1325083)Instruction limit reached! 55.01/8.56 % (1325083)------------------------------ 55.01/8.56 % (1325083)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 55.01/8.56 % (1325083)Termination reason: Unknown 55.01/8.56 % (1325083)Termination phase: Saturation 55.01/8.56 55.01/8.56 % (1325083)Memory used [KB]: 6396 55.01/8.56 % (1325083)Time elapsed: 0.303 s 55.01/8.56 % (1325083)Instructions burned: 346 (million) 55.01/8.56 % (1325083)------------------------------ 55.01/8.56 % (1325083)------------------------------ 55.01/8.59 % (1325103)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on E---3.1_1324435 for (1719ds/6454Mi) 55.75/8.65 % (1325084)Instruction limit reached! 55.75/8.65 % (1325084)------------------------------ 55.75/8.65 % (1325084)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 55.75/8.65 % (1325084)Termination reason: Unknown 55.75/8.65 % (1325084)Termination phase: Saturation 55.75/8.65 55.75/8.65 % (1325084)Memory used [KB]: 6524 55.75/8.65 % (1325084)Time elapsed: 0.337 s 55.75/8.65 % (1325084)Instructions burned: 401 (million) 55.75/8.65 % (1325084)------------------------------ 55.75/8.65 % (1325084)------------------------------ 55.75/8.68 % (1325104)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on E---3.1_1324435 for (1718ds/283Mi) 56.91/8.82 % (1325070)Instruction limit reached! 56.91/8.82 % (1325070)------------------------------ 56.91/8.82 % (1325070)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 56.91/8.82 % (1325070)Termination reason: Unknown 56.91/8.82 % (1325070)Termination phase: Saturation 56.91/8.82 56.91/8.82 % (1325070)Memory used [KB]: 10106 56.91/8.82 % (1325070)Time elapsed: 0.738 s 56.91/8.82 % (1325070)Instructions burned: 783 (million) 56.91/8.82 % (1325070)------------------------------ 56.91/8.82 % (1325070)------------------------------ 56.91/8.85 % (1325117)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on E---3.1_1324435 for (1717ds/865Mi) 57.25/8.91 % (1325072)Instruction limit reached! 57.25/8.91 % (1325072)------------------------------ 57.25/8.91 % (1325072)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 57.25/8.91 % (1325072)Termination reason: Unknown 57.25/8.91 % (1325072)Termination phase: Saturation 57.25/8.91 57.25/8.91 % (1325072)Memory used [KB]: 7547 57.25/8.91 % (1325072)Time elapsed: 0.812 s 57.25/8.91 % (1325072)Instructions burned: 1670 (million) 57.25/8.91 % (1325072)------------------------------ 57.25/8.91 % (1325072)------------------------------ 57.25/8.92 % (1325104)Instruction limit reached! 57.25/8.92 % (1325104)------------------------------ 57.25/8.92 % (1325104)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 57.25/8.92 % (1325104)Termination reason: Unknown 57.25/8.92 % (1325104)Termination phase: Saturation 57.25/8.92 57.25/8.92 % (1325104)Memory used [KB]: 6780 57.25/8.93 % (1325104)Time elapsed: 0.247 s 57.25/8.93 % (1325104)Instructions burned: 283 (million) 57.25/8.93 % (1325104)------------------------------ 57.25/8.93 % (1325104)------------------------------ 57.25/8.93 % (1325124)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on E---3.1_1324435 for (1716ds/4528Mi) 57.25/8.94 % (1325124)Refutation not found, incomplete strategy 57.25/8.94 % (1325124)------------------------------ 57.25/8.94 % (1325124)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 57.25/8.94 % (1325124)Termination reason: Refutation not found, incomplete strategy 57.25/8.94 57.25/8.94 57.25/8.94 % (1325124)Memory used [KB]: 1535 57.25/8.94 % (1325124)Time elapsed: 0.015 s 57.25/8.94 % (1325124)Instructions burned: 29 (million) 57.25/8.94 % (1325124)------------------------------ 57.25/8.94 % (1325124)------------------------------ 57.25/8.96 % (1325126)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on E---3.1_1324435 for (1715ds/102Mi) 57.25/8.96 % (1325125)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on E---3.1_1324435 for (1715ds/1001Mi) 58.67/9.00 % (1325126)Instruction limit reached! 58.67/9.00 % (1325126)------------------------------ 58.67/9.00 % (1325126)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 58.67/9.00 % (1325126)Termination reason: Unknown 58.67/9.00 % (1325126)Termination phase: Saturation 58.67/9.00 58.67/9.00 % (1325126)Memory used [KB]: 6012 58.67/9.00 % (1325126)Time elapsed: 0.044 s 58.67/9.00 % (1325126)Instructions burned: 103 (million) 58.67/9.00 % (1325126)------------------------------ 58.67/9.00 % (1325126)------------------------------ 58.67/9.02 % (1325131)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on E---3.1_1324435 for (1715ds/952Mi) 61.45/9.34 % (1325041)Instruction limit reached! 61.45/9.34 % (1325041)------------------------------ 61.45/9.34 % (1325041)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 61.45/9.34 % (1325041)Termination reason: Unknown 61.45/9.34 % (1325041)Termination phase: Saturation 61.45/9.34 61.45/9.34 % (1325041)Memory used [KB]: 11769 61.45/9.34 % (1325041)Time elapsed: 1.764 s 61.45/9.34 % (1325041)Instructions burned: 1979 (million) 61.45/9.34 % (1325041)------------------------------ 61.45/9.34 % (1325041)------------------------------ 61.45/9.37 % (1325148)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on E---3.1_1324435 for (1711ds/578Mi) 62.23/9.50 % (1325131)Instruction limit reached! 62.23/9.50 % (1325131)------------------------------ 62.23/9.50 % (1325131)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 62.23/9.50 % (1325131)Termination reason: Unknown 62.23/9.50 % (1325131)Termination phase: Saturation 62.23/9.50 62.23/9.50 % (1325131)Memory used [KB]: 9850 62.23/9.50 % (1325131)Time elapsed: 0.478 s 62.23/9.50 % (1325131)Instructions burned: 952 (million) 62.23/9.50 % (1325131)------------------------------ 62.23/9.50 % (1325131)------------------------------ 62.23/9.54 % (1325156)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on E---3.1_1324435 for (1710ds/643Mi) 62.23/9.59 % (1325117)Instruction limit reached! 62.23/9.59 % (1325117)------------------------------ 62.23/9.59 % (1325117)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 62.23/9.59 % (1325117)Termination reason: Unknown 62.23/9.59 % (1325117)Termination phase: Saturation 62.23/9.59 62.23/9.59 % (1325117)Memory used [KB]: 7164 62.23/9.59 % (1325117)Time elapsed: 0.748 s 62.23/9.59 % (1325117)Instructions burned: 866 (million) 62.23/9.59 % (1325117)------------------------------ 62.23/9.59 % (1325117)------------------------------ 63.22/9.61 % (1325166)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on E---3.1_1324435 for (1709ds/865Mi) 63.22/9.63 % (1325166)Refutation not found, incomplete strategy 63.22/9.63 % (1325166)------------------------------ 63.22/9.63 % (1325166)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 63.22/9.63 % (1325166)Termination reason: Refutation not found, incomplete strategy 63.22/9.63 63.22/9.63 63.22/9.63 % (1325166)Memory used [KB]: 6012 63.22/9.63 % (1325166)Time elapsed: 0.052 s 63.22/9.63 % (1325166)Instructions burned: 70 (million) 63.22/9.63 % (1325166)------------------------------ 63.22/9.63 % (1325166)------------------------------ 63.22/9.65 % (1325167)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on E---3.1_1324435 for (1708ds/1174Mi) 64.07/9.84 % (1325125)Instruction limit reached! 64.07/9.84 % (1325125)------------------------------ 64.07/9.84 % (1325125)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 64.07/9.84 % (1325125)Termination reason: Unknown 64.07/9.84 % (1325125)Termination phase: Saturation 64.07/9.84 64.07/9.84 % (1325125)Memory used [KB]: 9722 64.07/9.84 % (1325125)Time elapsed: 0.888 s 64.07/9.84 % (1325125)Instructions burned: 1001 (million) 64.07/9.84 % (1325125)------------------------------ 64.07/9.84 % (1325125)------------------------------ 64.07/9.85 % (1325148)Instruction limit reached! 64.07/9.85 % (1325148)------------------------------ 64.07/9.85 % (1325148)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 64.07/9.85 % (1325148)Termination reason: Unknown 64.07/9.85 % (1325148)Termination phase: Saturation 64.07/9.85 64.07/9.85 % (1325148)Memory used [KB]: 6780 64.07/9.85 % (1325148)Time elapsed: 0.503 s 64.07/9.85 % (1325148)Instructions burned: 578 (million) 64.07/9.85 % (1325148)------------------------------ 64.07/9.85 % (1325148)------------------------------ 64.07/9.88 % (1325181)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on E---3.1_1324435 for (1706ds/644Mi) 64.07/9.88 % (1325183)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on E---3.1_1324435 for (1706ds/1201Mi) 64.07/9.90 % (1325013)Instruction limit reached! 64.07/9.90 % (1325013)------------------------------ 64.07/9.90 % (1325013)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 64.07/9.90 % (1325013)Termination reason: Unknown 64.07/9.90 % (1325013)Termination phase: Saturation 64.07/9.90 64.07/9.90 % (1325013)Memory used [KB]: 13432 64.07/9.90 % (1325013)Time elapsed: 2.754 s 64.07/9.90 % (1325013)Instructions burned: 3373 (million) 64.07/9.90 % (1325013)------------------------------ 64.07/9.90 % (1325013)------------------------------ 62.18/9.93 % (1325188)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on E---3.1_1324435 for (1706ds/1046Mi) 65.14/10.12 % (1325156)Instruction limit reached! 65.14/10.12 % (1325156)------------------------------ 65.14/10.12 % (1325156)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 65.14/10.12 % (1325156)Termination reason: Unknown 65.14/10.12 % (1325156)Termination phase: Saturation 65.14/10.12 65.14/10.12 % (1325156)Memory used [KB]: 7036 65.14/10.12 % (1325156)Time elapsed: 0.586 s 65.14/10.12 % (1325156)Instructions burned: 643 (million) 65.14/10.12 % (1325156)------------------------------ 65.14/10.12 % (1325156)------------------------------ 65.14/10.18 % (1325167)Instruction limit reached! 65.14/10.18 % (1325167)------------------------------ 65.14/10.18 % (1325167)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 65.14/10.18 % (1325167)Termination reason: Unknown 65.14/10.18 % (1325167)Termination phase: Saturation 65.14/10.18 65.14/10.18 % (1325167)Memory used [KB]: 10106 65.14/10.18 % (1325167)Time elapsed: 0.532 s 65.14/10.18 % (1325167)Instructions burned: 1175 (million) 65.14/10.18 % (1325167)------------------------------ 65.14/10.18 % (1325167)------------------------------ 65.14/10.18 % (1325198)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on E---3.1_1324435 for (1703ds/222Mi) 67.58/10.20 % (1325204)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=68:si=on:rtra=on_0 on E---3.1_1324435 for (1703ds/68Mi) 67.58/10.23 % (1325204)Instruction limit reached! 67.58/10.23 % (1325204)------------------------------ 67.58/10.23 % (1325204)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 67.58/10.23 % (1325204)Termination reason: Unknown 67.58/10.23 % (1325204)Termination phase: Saturation 67.58/10.23 67.58/10.23 % (1325204)Memory used [KB]: 6140 67.58/10.23 % (1325204)Time elapsed: 0.032 s 67.58/10.23 % (1325204)Instructions burned: 69 (million) 67.58/10.23 % (1325204)------------------------------ 67.58/10.23 % (1325204)------------------------------ 67.58/10.25 % (1325209)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on E---3.1_1324435 for (1702ds/454Mi) 68.23/10.36 % (1325198)Instruction limit reached! 68.23/10.36 % (1325198)------------------------------ 68.23/10.36 % (1325198)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 68.23/10.36 % (1325198)Termination reason: Unknown 68.23/10.36 % (1325198)Termination phase: Saturation 68.23/10.36 68.23/10.36 % (1325198)Memory used [KB]: 6012 68.23/10.36 % (1325198)Time elapsed: 0.174 s 68.23/10.36 % (1325198)Instructions burned: 222 (million) 68.23/10.36 % (1325198)------------------------------ 68.23/10.36 % (1325198)------------------------------ 68.23/10.39 % (1325215)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on E---3.1_1324435 for (1701ds/360Mi) 68.91/10.44 % (1325209)Instruction limit reached! 68.91/10.44 % (1325209)------------------------------ 68.91/10.44 % (1325209)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 68.91/10.44 % (1325209)Termination reason: Unknown 68.91/10.44 % (1325209)Termination phase: Saturation 68.91/10.44 68.91/10.44 % (1325209)Memory used [KB]: 11129 68.91/10.44 % (1325209)Time elapsed: 0.196 s 68.91/10.44 % (1325209)Instructions burned: 454 (million) 68.91/10.44 % (1325209)------------------------------ 68.91/10.44 % (1325209)------------------------------ 68.91/10.44 % (1325181)Instruction limit reached! 68.91/10.44 % (1325181)------------------------------ 68.91/10.44 % (1325181)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 68.91/10.44 % (1325181)Termination reason: Unknown 68.91/10.44 % (1325181)Termination phase: Saturation 68.91/10.44 68.91/10.44 % (1325181)Memory used [KB]: 7164 68.91/10.44 % (1325181)Time elapsed: 0.596 s 68.91/10.44 % (1325181)Instructions burned: 644 (million) 68.91/10.44 % (1325181)------------------------------ 68.91/10.44 % (1325181)------------------------------ 68.91/10.46 % (1325220)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on E---3.1_1324435 for (1700ds/157Mi) 68.91/10.48 % (1325221)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on E---3.1_1324435 for (1700ds/5061Mi) 69.58/10.52 % (1325220)Instruction limit reached! 69.58/10.52 % (1325220)------------------------------ 69.58/10.52 % (1325220)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 69.58/10.52 % (1325220)Termination reason: Unknown 69.58/10.52 % (1325220)Termination phase: Saturation 69.58/10.52 69.58/10.52 % (1325220)Memory used [KB]: 6012 69.58/10.52 % (1325220)Time elapsed: 0.065 s 69.58/10.52 % (1325220)Instructions burned: 158 (million) 69.58/10.52 % (1325220)------------------------------ 69.58/10.52 % (1325220)------------------------------ 69.58/10.54 % (1325225)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on E---3.1_1324435 for (1699ds/2401Mi) 70.08/10.70 % (1325215)Instruction limit reached! 70.08/10.70 % (1325215)------------------------------ 70.08/10.70 % (1325215)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 70.08/10.70 % (1325215)Termination reason: Unknown 70.08/10.70 % (1325215)Termination phase: Saturation 70.08/10.70 70.08/10.70 % (1325215)Memory used [KB]: 6396 70.08/10.70 % (1325215)Time elapsed: 0.309 s 70.08/10.70 % (1325215)Instructions burned: 360 (million) 70.08/10.70 % (1325215)------------------------------ 70.08/10.70 % (1325215)------------------------------ 70.82/10.73 % (1325236)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on E---3.1_1324435 for (1698ds/5798Mi) 71.21/10.86 % (1325188)Refutation not found, non-redundant clauses discarded% (1325188)------------------------------ 71.21/10.86 % (1325188)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 71.21/10.86 % (1325188)Termination reason: Refutation not found, non-redundant clauses discarded 71.21/10.86 71.21/10.86 % (1325188)Memory used [KB]: 8059 71.21/10.86 % (1325183)Instruction limit reached! 71.21/10.86 % (1325183)------------------------------ 71.21/10.86 % (1325183)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 71.21/10.86 % (1325183)Termination reason: Unknown 71.21/10.86 % (1325183)Termination phase: Saturation 71.21/10.86 71.21/10.86 % (1325183)Memory used [KB]: 6780 71.21/10.86 % (1325183)Time elapsed: 0.979 s 71.21/10.86 % (1325183)Instructions burned: 1201 (million) 71.21/10.86 % (1325183)------------------------------ 71.21/10.86 % (1325183)------------------------------ 71.21/10.86 % (1325188)Time elapsed: 0.926 s 71.21/10.86 % (1325188)Instructions burned: 1030 (million) 71.21/10.86 % (1325188)------------------------------ 71.21/10.86 % (1325188)------------------------------ 71.21/10.89 % (1325246)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on E---3.1_1324435 for (1696ds/346Mi) 71.21/10.89 % (1325247)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on E---3.1_1324435 for (1696ds/1321Mi) 71.56/10.94 % (1325247)Refutation not found, incomplete strategy 71.56/10.94 % (1325247)------------------------------ 71.56/10.94 % (1325247)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 71.56/10.94 % (1325247)Termination reason: Refutation not found, incomplete strategy 71.56/10.94 71.56/10.94 71.56/10.94 % (1325247)Memory used [KB]: 1535 71.56/10.94 % (1325247)Time elapsed: 0.050 s 71.56/10.94 % (1325247)Instructions burned: 53 (million) 71.56/10.94 % (1325247)------------------------------ 71.56/10.94 % (1325247)------------------------------ 71.56/10.97 % (1325253)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on E---3.1_1324435 for (1695ds/1312Mi) 74.48/11.18 % (1325246)Instruction limit reached! 74.48/11.18 % (1325246)------------------------------ 74.48/11.18 % (1325246)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 74.48/11.18 % (1325246)Termination reason: Unknown 74.48/11.18 % (1325246)Termination phase: Saturation 74.48/11.18 74.48/11.18 % (1325246)Memory used [KB]: 6396 74.48/11.18 % (1325246)Time elapsed: 0.302 s 74.48/11.18 % (1325246)Instructions burned: 346 (million) 74.48/11.18 % (1325246)------------------------------ 74.48/11.18 % (1325246)------------------------------ 74.48/11.21 % (1325266)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on E---3.1_1324435 for (1693ds/672Mi) 74.48/11.24 % (1325266)Refutation not found, incomplete strategy 74.48/11.24 % (1325266)------------------------------ 74.48/11.24 % (1325266)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 74.48/11.24 % (1325266)Termination reason: Refutation not found, incomplete strategy 74.48/11.24 74.48/11.24 74.48/11.24 % (1325266)Memory used [KB]: 6012 74.48/11.24 % (1325266)Time elapsed: 0.030 s 74.48/11.24 % (1325266)Instructions burned: 30 (million) 74.48/11.24 % (1325266)------------------------------ 74.48/11.24 % (1325266)------------------------------ 75.17/11.28 % (1325273)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=1897:si=on:rtra=on_0 on E---3.1_1324435 for (1692ds/1897Mi) 75.32/11.31 % (1325273)Refutation not found, incomplete strategy 75.32/11.31 % (1325273)------------------------------ 75.32/11.31 % (1325273)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 75.32/11.31 % (1325273)Termination reason: Refutation not found, incomplete strategy 75.32/11.31 75.32/11.31 75.32/11.31 % (1325273)Memory used [KB]: 6012 75.32/11.31 % (1325273)Time elapsed: 0.034 s 75.32/11.31 % (1325273)Instructions burned: 32 (million) 75.32/11.31 % (1325273)------------------------------ 75.32/11.31 % (1325273)------------------------------ 75.32/11.34 % (1325274)lrs+10_1:40_av=off:fde=unused:ntd=on:plsq=on:plsqc=2:plsqr=411915,1048576:sp=unary_frequency:tgt=full:i=1202:si=on:rtra=on_0 on E---3.1_1324435 for (1692ds/1202Mi) 77.21/11.65 % (1325225)Instruction limit reached! 77.21/11.65 % (1325225)------------------------------ 77.21/11.65 % (1325225)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 77.21/11.65 % (1325225)Termination reason: Unknown 77.21/11.65 % (1325225)Termination phase: Saturation 77.21/11.65 77.21/11.65 % (1325225)Memory used [KB]: 9722 77.21/11.65 % (1325225)Time elapsed: 1.108 s 77.21/11.65 % (1325225)Instructions burned: 2401 (million) 77.21/11.65 % (1325225)------------------------------ 77.21/11.65 % (1325225)------------------------------ 77.21/11.66 % (1325293)dis+21_1:1_au=on:cnfonf=lazy_pi_sigma_gen:hfsq=on:hfsqc=40:hfsqr=8,1:ntd=on:sos=on:sp=occurrence:ss=axioms:i=1493:si=on:rtra=on_0 on E---3.1_1324435 for (1688ds/1493Mi) 77.21/11.68 % (1325293)Refutation not found, incomplete strategy 77.21/11.68 % (1325293)------------------------------ 77.21/11.68 % (1325293)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 77.21/11.68 % (1325293)Termination reason: Refutation not found, incomplete strategy 77.21/11.68 77.21/11.68 77.21/11.68 % (1325293)Memory used [KB]: 6012 77.21/11.68 % (1325293)Time elapsed: 0.016 s 77.21/11.68 % (1325293)Instructions burned: 33 (million) 77.21/11.68 % (1325293)------------------------------ 77.21/11.68 % (1325293)------------------------------ 77.21/11.69 % (1325294)dis+1010_3:1_av=off:fde=unused:hud=10:nwc=10.0:s2a=on:ss=axioms:i=7679:si=on:rtra=on_0 on E---3.1_1324435 for (1688ds/7679Mi) 77.81/11.71 % (1325294)Refutation not found, incomplete strategy 77.81/11.71 % (1325294)------------------------------ 77.81/11.71 % (1325294)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 77.81/11.71 % (1325294)Termination reason: Refutation not found, incomplete strategy 77.81/11.71 77.81/11.71 77.81/11.71 % (1325294)Memory used [KB]: 1535 77.81/11.71 % (1325294)Time elapsed: 0.017 s 77.81/11.71 % (1325294)Instructions burned: 34 (million) 77.81/11.71 % (1325294)------------------------------ 77.81/11.71 % (1325294)------------------------------ 77.81/11.73 % (1325299)lrs+2_1:1024_anc=all:cnfonf=off:cs=on:e2e=on:nm=20:s2at=1.5:slsq=on:slsqr=1,2:spb=goal:i=340:si=on:rtra=on_0 on E---3.1_1324435 for (1688ds/340Mi) 77.81/11.76 % (1325299)Refutation not found, incomplete strategy 77.81/11.76 % (1325299)------------------------------ 77.81/11.76 % (1325299)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 77.81/11.76 % (1325299)Termination reason: Refutation not found, incomplete strategy 77.81/11.76 77.81/11.76 77.81/11.76 % (1325299)Memory used [KB]: 6140 77.81/11.76 % (1325299)Time elapsed: 0.037 s 77.81/11.76 % (1325299)Instructions burned: 87 (million) 77.81/11.76 % (1325299)------------------------------ 77.81/11.76 % (1325299)------------------------------ 77.81/11.78 % (1325305)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=3672:si=on:rtra=on_0 on E---3.1_1324435 for (1687ds/3672Mi) 79.40/12.03 % (1325253)Instruction limit reached! 79.40/12.03 % (1325253)------------------------------ 79.40/12.03 % (1325253)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 79.40/12.03 % (1325253)Termination reason: Unknown 79.40/12.03 % (1325253)Termination phase: Saturation 79.40/12.03 79.40/12.03 % (1325253)Memory used [KB]: 6780 79.40/12.03 % (1325253)Time elapsed: 1.057 s 79.40/12.03 % (1325253)Instructions burned: 1312 (million) 79.40/12.03 % (1325253)------------------------------ 79.40/12.03 % (1325253)------------------------------ 79.40/12.06 % (1325320)dis-1002_3:1_acc=model:bd=off:bsd=on:bsdmm=1:cnfonf=lazy_not_be_gen:fd=off:fe=off:ntd=on:nwc=10.0:piset=equals:plsq=on:plsqc=1:plsqr=32,1:sp=const_max:uhcvi=on:i=1535:si=on:rtra=on_0 on E---3.1_1324435 for (1684ds/1535Mi) 79.40/12.08 % (1324852)Instruction limit reached! 79.40/12.08 % (1324852)------------------------------ 79.40/12.08 % (1324852)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 79.40/12.08 % (1324852)Termination reason: Unknown 79.40/12.08 % (1324852)Termination phase: Saturation 79.40/12.08 79.40/12.08 % (1324852)Memory used [KB]: 33389 79.40/12.08 % (1324852)Time elapsed: 7.585 s 79.40/12.08 % (1324852)Instructions burned: 8250 (million) 79.40/12.08 % (1324852)------------------------------ 79.40/12.08 % (1324852)------------------------------ 79.40/12.12 % (1325325)dis+10_16:1_hud=1:plsq=on:plsqc=1:plsqr=32,1:prag=on:sd=1:sgt=64:ss=axioms:i=4637:si=on:rtra=on_0 on E---3.1_1324435 for (1684ds/4637Mi) 83.77/12.52 % (1325274)Instruction limit reached! 83.77/12.52 % (1325274)------------------------------ 83.77/12.52 % (1325274)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 83.77/12.52 % (1325274)Termination reason: Unknown 83.77/12.52 % (1325274)Termination phase: Saturation 83.77/12.52 83.77/12.52 % (1325274)Memory used [KB]: 2942 83.77/12.52 % (1325274)Time elapsed: 1.182 s 83.77/12.52 % (1325274)Instructions burned: 1202 (million) 83.77/12.52 % (1325274)------------------------------ 83.77/12.52 % (1325274)------------------------------ 83.77/12.56 % (1325349)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on E---3.1_1324435 for (1679ds/3174Mi) 88.69/13.25 % (1325320)Instruction limit reached! 88.69/13.25 % (1325320)------------------------------ 88.69/13.25 % (1325320)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 88.69/13.25 % (1325320)Termination reason: Unknown 88.69/13.25 % (1325320)Termination phase: Saturation 88.69/13.25 88.69/13.25 % (1325320)Memory used [KB]: 8443 88.69/13.25 % (1325320)Time elapsed: 1.194 s 88.69/13.25 % (1325320)Instructions burned: 1536 (million) 88.69/13.25 % (1325320)------------------------------ 88.69/13.25 % (1325320)------------------------------ 88.69/13.28 % (1325395)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on E---3.1_1324435 for (1672ds/307Mi) 89.89/13.47 % (1325305)Instruction limit reached! 89.89/13.47 % (1325305)------------------------------ 89.89/13.47 % (1325305)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 89.89/13.47 % (1325305)Termination reason: Unknown 89.89/13.47 % (1325305)Termination phase: Saturation 89.89/13.47 89.89/13.47 % (1325305)Memory used [KB]: 17526 89.89/13.47 % (1325305)Time elapsed: 1.693 s 89.89/13.47 % (1325305)Instructions burned: 3672 (million) 89.89/13.47 % (1325305)------------------------------ 89.89/13.47 % (1325305)------------------------------ 90.46/13.50 % (1325408)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=3619:si=on:rtra=on_0 on E---3.1_1324435 for (1670ds/3619Mi) 90.46/13.54 % (1325408)Refutation not found, incomplete strategy 90.46/13.54 % (1325408)------------------------------ 90.46/13.54 % (1325408)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 90.46/13.54 % (1325408)Termination reason: Refutation not found, incomplete strategy 90.46/13.54 90.46/13.54 90.46/13.54 % (1325408)Memory used [KB]: 6012 90.46/13.54 % (1325408)Time elapsed: 0.046 s 90.46/13.54 % (1325408)Instructions burned: 49 (million) 90.46/13.54 % (1325408)------------------------------ 90.46/13.54 % (1325408)------------------------------ 90.46/13.55 % (1325395)Instruction limit reached! 90.46/13.55 % (1325395)------------------------------ 90.46/13.55 % (1325395)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 90.46/13.55 % (1325395)Termination reason: Unknown 90.46/13.55 % (1325395)Termination phase: Saturation 90.46/13.55 90.46/13.55 % (1325395)Memory used [KB]: 6140 90.46/13.55 % (1325395)Time elapsed: 0.296 s 90.46/13.55 % (1325395)Instructions burned: 307 (million) 90.46/13.55 % (1325395)------------------------------ 90.46/13.55 % (1325395)------------------------------ 90.46/13.56 % (1325410)lrs+1002_1:1_au=on:cbe=off:fde=none:ins=1:sp=const_max:i=2325:si=on:rtra=on_0 on E---3.1_1324435 for (1669ds/2325Mi) 90.46/13.58 % (1325411)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2341:si=on:rtra=on_0 on E---3.1_1324435 for (1669ds/2341Mi) 97.01/14.43 % (1325103)Instruction limit reached! 97.01/14.43 % (1325103)------------------------------ 97.01/14.43 % (1325103)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 97.01/14.43 % (1325103)Termination reason: Unknown 97.01/14.43 % (1325103)Termination phase: Saturation 97.01/14.43 97.01/14.43 % (1325103)Memory used [KB]: 26865 97.01/14.43 % (1325103)Time elapsed: 5.843 s 97.01/14.43 % (1325103)Instructions burned: 6454 (million) 97.01/14.43 % (1325103)------------------------------ 97.01/14.43 % (1325103)------------------------------ 97.01/14.47 % (1325463)lrs+1010_1:16_apa=on:bsd=on:cnfonf=off:hud=10:sac=on:sos=on:ss=axioms:i=7257:si=on:rtra=on_0 on E---3.1_1324435 for (1660ds/7257Mi) 97.01/14.49 % (1325463)Refutation not found, incomplete strategy 97.01/14.49 % (1325463)------------------------------ 97.01/14.49 % (1325463)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 97.01/14.49 % (1325463)Termination reason: Refutation not found, incomplete strategy 97.01/14.49 97.01/14.49 97.01/14.49 % (1325463)Memory used [KB]: 6012 97.01/14.49 % (1325463)Time elapsed: 0.051 s 97.01/14.49 % (1325463)Instructions burned: 30 (million) 97.01/14.49 % (1325463)------------------------------ 97.01/14.49 % (1325463)------------------------------ 97.71/14.53 % (1325467)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=3710:si=on:rtra=on_0 on E---3.1_1324435 for (1660ds/3710Mi) 98.31/14.64 % (1325410)Instruction limit reached! 98.31/14.64 % (1325410)------------------------------ 98.31/14.64 % (1325410)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 98.31/14.64 % (1325410)Termination reason: Unknown 98.31/14.64 % (1325410)Termination phase: Saturation 98.31/14.64 98.31/14.64 % (1325410)Memory used [KB]: 14456 98.31/14.64 % (1325410)Time elapsed: 1.079 s 98.31/14.64 % (1325410)Instructions burned: 2326 (million) 98.31/14.64 % (1325410)------------------------------ 98.31/14.64 % (1325410)------------------------------ 98.31/14.66 % (1325477)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=326:si=on:rtra=on_0 on E---3.1_1324435 for (1658ds/326Mi) 98.31/14.67 % (1325477)Refutation not found, incomplete strategy 98.31/14.67 % (1325477)------------------------------ 98.31/14.67 % (1325477)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 98.31/14.67 % (1325477)Termination reason: Refutation not found, incomplete strategy 98.31/14.67 98.31/14.67 98.31/14.67 % (1325477)Memory used [KB]: 6012 98.31/14.67 % (1325477)Time elapsed: 0.016 s 98.31/14.67 % (1325477)Instructions burned: 30 (million) 98.31/14.67 % (1325477)------------------------------ 98.31/14.67 % (1325477)------------------------------ 98.31/14.69 % (1325478)lrs+1010_1:64_au=on:c=on:e2e=on:flr=on:hfsq=on:hfsql=off:hfsqr=4,1:ins=1:ntd=on:sp=occurrence:i=1100:si=on:rtra=on_0 on E---3.1_1324435 for (1658ds/1100Mi) 98.91/14.72 % (1325478)Refutation not found, incomplete strategy 98.91/14.72 % (1325478)------------------------------ 98.91/14.72 % (1325478)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 98.91/14.72 % (1325478)Termination reason: Refutation not found, incomplete strategy 98.91/14.72 98.91/14.72 98.91/14.72 % (1325478)Memory used [KB]: 6012 98.91/14.72 % (1325478)Time elapsed: 0.028 s 98.91/14.72 % (1325478)Instructions burned: 57 (million) 98.91/14.72 % (1325478)------------------------------ 98.91/14.72 % (1325478)------------------------------ 98.91/14.73 % (1325479)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on E---3.1_1324435 for (1657ds/406Mi) 98.91/14.78 % (1325479)Refutation not found, incomplete strategy 98.91/14.78 % (1325479)------------------------------ 98.91/14.78 % (1325479)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 98.91/14.78 % (1325479)Termination reason: Refutation not found, incomplete strategy 98.91/14.78 98.91/14.78 98.91/14.78 % (1325479)Memory used [KB]: 6268 98.91/14.78 % (1325479)Time elapsed: 0.049 s 98.91/14.78 % (1325479)Instructions burned: 102 (million) 98.91/14.78 % (1325479)------------------------------ 98.91/14.78 % (1325479)------------------------------ 99.51/14.80 % (1325489)dis+1010_1:1_aac=none:bd=preordered:e2e=on:fde=none:fe=axiom:nm=16:nwc=10.0:prag=on:i=1871:si=on:rtra=on_0 on E---3.1_1324435 for (1657ds/1871Mi) 100.52/15.07 % (1325221)Instruction limit reached! 100.52/15.07 % (1325221)------------------------------ 100.52/15.07 % (1325221)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 100.52/15.07 % (1325221)Termination reason: Unknown 100.52/15.07 % (1325221)Termination phase: Saturation 100.52/15.07 100.52/15.07 % (1325221)Memory used [KB]: 7931 100.52/15.07 % (1325221)Time elapsed: 4.598 s 100.52/15.07 % (1325221)Instructions burned: 5061 (million) 100.52/15.07 % (1325221)------------------------------ 100.52/15.07 % (1325221)------------------------------ 101.04/15.10 % (1325503)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1194:si=on:rtra=on_0 on E---3.1_1324435 for (1654ds/1194Mi) 104.74/15.55 % (1325349)Instruction limit reached! 104.74/15.55 % (1325349)------------------------------ 104.74/15.55 % (1325349)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 104.74/15.55 % (1325349)Termination reason: Unknown 104.74/15.55 % (1325349)Termination phase: Saturation 104.74/15.55 104.74/15.55 % (1325349)Memory used [KB]: 16375 104.74/15.55 % (1325349)Time elapsed: 2.956 s 104.74/15.55 % (1325349)Instructions burned: 3174 (million) 104.74/15.55 % (1325349)------------------------------ 104.74/15.55 % (1325349)------------------------------ 104.74/15.59 % (1325527)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on E---3.1_1324435 for (1649ds/474Mi) 105.42/15.67 % (1325411)Instruction limit reached! 105.42/15.67 % (1325411)------------------------------ 105.42/15.67 % (1325411)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 105.42/15.67 % (1325411)Termination reason: Unknown 105.42/15.67 % (1325411)Termination phase: Saturation 105.42/15.67 105.42/15.67 % (1325411)Memory used [KB]: 13432 105.42/15.67 % (1325411)Time elapsed: 2.085 s 105.42/15.67 % (1325411)Instructions burned: 2341 (million) 105.42/15.67 % (1325411)------------------------------ 105.42/15.67 % (1325411)------------------------------ 105.42/15.68 % (1325489)Instruction limit reached! 105.42/15.68 % (1325489)------------------------------ 105.42/15.68 % (1325489)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 105.42/15.68 % (1325489)Termination reason: Unknown 105.42/15.68 % (1325489)Termination phase: Saturation 105.42/15.68 105.42/15.68 % (1325489)Memory used [KB]: 13176 105.42/15.68 % (1325489)Time elapsed: 0.884 s 105.42/15.68 % (1325489)Instructions burned: 1873 (million) 105.42/15.68 % (1325489)------------------------------ 105.42/15.68 % (1325489)------------------------------ 106.01/15.70 % (1325538)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=831:si=on:rtra=on_0 on E---3.1_1324435 for (1648ds/831Mi) 106.01/15.70 % (1325537)dis+1010_1:1_au=on:cnfonf=lazy_gen:ins=3:plsq=on:plsqc=1:plsqr=15142123,262144:sp=reverse_arity:i=3115:si=on:rtra=on_0 on E---3.1_1324435 for (1648ds/3115Mi) 106.81/15.95 % (1325236)Instruction limit reached! 106.81/15.95 % (1325236)------------------------------ 106.81/15.95 % (1325236)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 106.81/15.95 % (1325236)Termination reason: Unknown 106.81/15.95 % (1325236)Termination phase: Saturation 106.81/15.95 106.81/15.95 % (1325236)Memory used [KB]: 20212 106.81/15.95 % (1325236)Time elapsed: 5.220 s 106.81/15.95 % (1325236)Instructions burned: 5798 (million) 106.81/15.95 % (1325236)------------------------------ 106.81/15.95 % (1325236)------------------------------ 106.81/15.97 % (1325527)Instruction limit reached! 106.81/15.97 % (1325527)------------------------------ 106.81/15.97 % (1325527)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 106.81/15.97 % (1325527)Termination reason: Unknown 106.81/15.97 % (1325527)Termination phase: Saturation 106.81/15.97 106.81/15.97 % (1325527)Memory used [KB]: 6652 106.81/15.97 % (1325527)Time elapsed: 0.381 s 106.81/15.97 % (1325527)Instructions burned: 474 (million) 106.81/15.97 % (1325527)------------------------------ 106.81/15.97 % (1325527)------------------------------ 106.81/15.99 % (1325555)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on E---3.1_1324435 for (1645ds/1188Mi) 107.57/16.00 % (1325558)ott+1010_1:20_cnfonf=lazy_pi_sigma_gen:fe=axiom:plsq=on:plsqc=2:plsqr=32,1:sac=on:sos=all:i=2868:si=on:rtra=on_0 on E---3.1_1324435 for (1645ds/2868Mi) 107.57/16.07 % (1325558)Refutation not found, incomplete strategy 107.57/16.07 % (1325558)------------------------------ 107.57/16.07 % (1325558)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 107.57/16.07 % (1325558)Termination reason: Refutation not found, incomplete strategy 107.57/16.07 107.57/16.07 107.57/16.07 % (1325558)Memory used [KB]: 6524 107.57/16.07 % (1325558)Time elapsed: 0.068 s 107.57/16.07 % (1325558)Instructions burned: 75 (million) 107.57/16.07 % (1325558)------------------------------ 107.57/16.07 % (1325558)------------------------------ 107.57/16.08 % (1325538)Instruction limit reached! 107.57/16.08 % (1325538)------------------------------ 107.57/16.08 % (1325538)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 107.57/16.08 % (1325538)Termination reason: Unknown 107.57/16.08 % (1325538)Termination phase: Saturation 107.57/16.08 107.57/16.08 % (1325538)Memory used [KB]: 9466 107.57/16.08 % (1325538)Time elapsed: 0.379 s 107.57/16.08 % (1325538)Instructions burned: 832 (million) 107.57/16.08 % (1325538)------------------------------ 107.57/16.08 % (1325538)------------------------------ 107.57/16.10 % (1325561)lrs+1002_1:20_afp=1000:au=on:bsd=on:cnfonf=lazy_not_gen_be_off:sos=all:sp=const_max:i=2321:si=on:rtra=on_0 on E---3.1_1324435 for (1644ds/2321Mi) 108.37/16.10 % (1325559)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1516:si=on:rtra=on_0 on E---3.1_1324435 for (1644ds/1516Mi) 108.37/16.12 % (1325561)Refutation not found, incomplete strategy 108.37/16.12 % (1325561)------------------------------ 108.37/16.12 % (1325561)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 108.37/16.12 % (1325561)Termination reason: Refutation not found, incomplete strategy 108.37/16.12 108.37/16.12 108.37/16.12 % (1325561)Memory used [KB]: 6396 108.37/16.12 % (1325561)Time elapsed: 0.030 s 108.37/16.12 % (1325561)Instructions burned: 62 (million) 108.37/16.12 % (1325561)------------------------------ 108.37/16.12 % (1325561)------------------------------ 108.37/16.13 % (1325559)Refutation not found, incomplete strategy 108.37/16.13 % (1325559)------------------------------ 108.37/16.13 % (1325559)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 108.37/16.13 % (1325559)Termination reason: Refutation not found, incomplete strategy 108.37/16.13 108.37/16.13 108.37/16.13 % (1325559)Memory used [KB]: 6012 108.37/16.13 % (1325559)Time elapsed: 0.032 s 108.37/16.13 % (1325559)Instructions burned: 32 (million) 108.37/16.13 % (1325559)------------------------------ 108.37/16.13 % (1325559)------------------------------ 108.37/16.14 % (1325570)dis+1010_1:1_au=on:bd=off:bsd=on:ixr=off:sp=const_max:i=2812:si=on:rtra=on_0 on E---3.1_1324435 for (1644ds/2812Mi) 108.37/16.15 % (1325503)Instruction limit reached! 108.37/16.15 % (1325503)------------------------------ 108.37/16.15 % (1325503)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 108.37/16.15 % (1325503)Termination reason: Unknown 108.37/16.15 % (1325503)Termination phase: Saturation 108.37/16.15 108.37/16.15 % (1325503)Memory used [KB]: 9978 108.37/16.15 % (1325503)Time elapsed: 1.046 s 108.37/16.15 % (1325503)Instructions burned: 1194 (million) 108.37/16.15 % (1325503)------------------------------ 108.37/16.15 % (1325503)------------------------------ 108.37/16.16 % (1325571)dis+1002_8:1_bd=off:sd=1:sgt=16:ss=axioms:i=4604:si=on:rtra=on_0 on E---3.1_1324435 for (1643ds/4604Mi) 108.37/16.18 % (1325572)ott+1002_1:4_c=on:chr=on:cnfonf=lazy_not_be_gen:hud=10:nm=10:piset=all_but_not_eq:rp=on:spb=goal:uhcvi=on:i=2678:si=on:rtra=on_0 on E---3.1_1324435 for (1643ds/2678Mi) 110.05/16.34 % (1325325)Instruction limit reached! 110.05/16.34 % (1325325)------------------------------ 110.05/16.34 % (1325325)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 110.05/16.34 % (1325325)Termination reason: Unknown 110.05/16.34 % (1325325)Termination phase: Saturation 110.05/16.34 110.05/16.34 % (1325325)Memory used [KB]: 24178 110.05/16.34 % (1325325)Time elapsed: 4.216 s 110.05/16.34 % (1325325)Instructions burned: 4637 (million) 110.05/16.34 % (1325325)------------------------------ 110.05/16.34 % (1325325)------------------------------ 110.76/16.37 % (1325582)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on E---3.1_1324435 for (1641ds/643Mi) 113.10/16.90 % (1325555)Instruction limit reached! 113.10/16.90 % (1325555)------------------------------ 113.10/16.90 % (1325555)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 113.10/16.90 % (1325555)Termination reason: Unknown 113.10/16.90 % (1325555)Termination phase: Saturation 113.10/16.90 113.10/16.90 % (1325555)Memory used [KB]: 6652 113.10/16.90 % (1325555)Time elapsed: 0.916 s 113.10/16.90 % (1325555)Instructions burned: 1188 (million) 113.10/16.90 % (1325555)------------------------------ 113.10/16.90 % (1325555)------------------------------ 113.10/16.93 % (1325610)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=458:si=on:rtra=on_0 on E---3.1_1324435 for (1636ds/458Mi) 113.10/16.95 % (1325582)Instruction limit reached! 113.10/16.95 % (1325582)------------------------------ 113.10/16.95 % (1325582)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 113.10/16.95 % (1325582)Termination reason: Unknown 113.10/16.95 % (1325582)Termination phase: Saturation 113.10/16.95 113.10/16.95 % (1325582)Memory used [KB]: 7164 113.10/16.95 % (1325582)Time elapsed: 0.581 s 113.10/16.95 % (1325582)Instructions burned: 643 (million) 113.10/16.95 % (1325582)------------------------------ 113.10/16.95 % (1325582)------------------------------ 113.10/16.99 % (1325617)lrs+1010_1:1_anc=all_dependent:apa=on:au=on:bd=off:c=on:cnfonf=off:ntd=on:i=2546:si=on:rtra=on_0 on E---3.1_1324435 for (1635ds/2546Mi) 117.07/17.31 % (1325610)Instruction limit reached! 117.07/17.31 % (1325610)------------------------------ 117.07/17.31 % (1325610)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 117.07/17.31 % (1325610)Termination reason: Unknown 117.07/17.31 % (1325610)Termination phase: Saturation 117.07/17.31 117.07/17.31 % (1325610)Memory used [KB]: 6524 117.07/17.31 % (1325610)Time elapsed: 0.377 s 117.07/17.31 % (1325610)Instructions burned: 458 (million) 117.07/17.31 % (1325610)------------------------------ 117.07/17.31 % (1325610)------------------------------ 117.07/17.34 % (1325639)dis+21_1:1_acc=model:au=on:cnfonf=lazy_gen:ins=2:plsq=on:plsqc=1:plsqr=32,1:i=1432:si=on:rtra=on_0 on E---3.1_1324435 for (1632ds/1432Mi) 118.00/17.41 % (1325570)Instruction limit reached! 118.00/17.41 % (1325570)------------------------------ 118.00/17.41 % (1325570)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 118.00/17.41 % (1325570)Termination reason: Unknown 118.00/17.41 % (1325570)Termination phase: Saturation 118.00/17.41 118.00/17.41 % (1325570)Memory used [KB]: 15095 118.00/17.41 % (1325570)Time elapsed: 1.269 s 118.00/17.41 % (1325570)Instructions burned: 2812 (million) 118.00/17.41 % (1325570)------------------------------ 118.00/17.41 % (1325570)------------------------------ 118.00/17.43 % (1325644)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=386:si=on:rtra=on_0 on E---3.1_1324435 for (1631ds/386Mi) 119.05/17.60 % (1325644)Instruction limit reached! 119.05/17.60 % (1325644)------------------------------ 119.05/17.60 % (1325644)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 119.05/17.60 % (1325644)Termination reason: Unknown 119.05/17.60 % (1325644)Termination phase: Saturation 119.05/17.60 119.05/17.60 % (1325644)Memory used [KB]: 6908 119.05/17.60 % (1325644)Time elapsed: 0.176 s 119.05/17.60 % (1325644)Instructions burned: 386 (million) 119.05/17.60 % (1325644)------------------------------ 119.05/17.60 % (1325644)------------------------------ 119.05/17.62 % (1325658)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on E---3.1_1324435 for (1629ds/360Mi) 119.73/17.76 % (1325658)Instruction limit reached! 119.73/17.76 % (1325658)------------------------------ 119.73/17.76 % (1325658)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 119.73/17.76 % (1325658)Termination reason: Unknown 119.73/17.76 % (1325658)Termination phase: Saturation 119.73/17.76 119.73/17.76 % (1325658)Memory used [KB]: 6140 119.73/17.76 % (1325658)Time elapsed: 0.147 s 119.73/17.76 % (1325658)Instructions burned: 360 (million) 119.73/17.76 % (1325658)------------------------------ 119.73/17.76 % (1325658)------------------------------ 119.73/17.78 % (1325669)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=5446:si=on:rtra=on_0 on E---3.1_1324435 for (1627ds/5446Mi) 120.39/17.80 % (1325467)Instruction limit reached! 120.39/17.80 % (1325467)------------------------------ 120.39/17.80 % (1325467)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 120.39/17.80 % (1325467)Termination reason: Unknown 120.39/17.80 % (1325467)Termination phase: Saturation 120.39/17.80 120.39/17.80 % (1325467)Memory used [KB]: 12409 120.39/17.80 % (1325467)Time elapsed: 3.304 s 120.39/17.80 % (1325467)Instructions burned: 3710 (million) 120.39/17.80 % (1325467)------------------------------ 120.39/17.80 % (1325467)------------------------------ 120.39/17.84 % (1325670)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=2573:si=on:rtra=on_0 on E---3.1_1324435 for (1627ds/2573Mi) 121.64/18.13 % (1325537)Instruction limit reached! 121.64/18.13 % (1325537)------------------------------ 121.64/18.13 % (1325537)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 121.64/18.13 % (1325537)Termination reason: Unknown 121.64/18.13 % (1325537)Termination phase: Saturation 121.64/18.13 121.64/18.13 % (1325537)Memory used [KB]: 6780 121.64/18.13 % (1325537)Time elapsed: 2.433 s 121.64/18.13 % (1325537)Instructions burned: 3115 (million) 121.64/18.13 % (1325537)------------------------------ 121.64/18.13 % (1325537)------------------------------ 121.64/18.16 % (1325689)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=2655:si=on:rtra=on_0 on E---3.1_1324435 for (1623ds/2655Mi) 121.64/18.24 % (1325639)Instruction limit reached! 121.64/18.24 % (1325639)------------------------------ 121.64/18.24 % (1325639)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 121.64/18.24 % (1325639)Termination reason: Unknown 121.64/18.24 % (1325639)Termination phase: Saturation 121.64/18.24 121.64/18.24 % (1325639)Memory used [KB]: 8315 121.64/18.24 % (1325639)Time elapsed: 0.907 s 121.64/18.24 % (1325639)Instructions burned: 1432 (million) 121.64/18.24 % (1325639)------------------------------ 121.64/18.24 % (1325639)------------------------------ 124.09/18.28 % (1325699)dis+1002_16:1_apa=on:au=on:av=off:cnfonf=off:e2e=on:nm=0:nwc=10.0:i=2781:si=on:rtra=on_0 on E---3.1_1324435 for (1622ds/2781Mi) 126.21/18.63 % (1325572)Instruction limit reached! 126.21/18.63 % (1325572)------------------------------ 126.21/18.63 % (1325572)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 126.21/18.63 % (1325572)Termination reason: Unknown 126.21/18.63 % (1325572)Termination phase: Saturation 126.21/18.63 126.21/18.63 % (1325572)Memory used [KB]: 15607 126.21/18.63 % (1325572)Time elapsed: 2.455 s 126.21/18.63 % (1325572)Instructions burned: 2678 (million) 126.21/18.63 % (1325572)------------------------------ 126.21/18.63 % (1325572)------------------------------ 126.21/18.67 % (1325718)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on E---3.1_1324435 for (1618ds/307Mi) 127.73/18.92 % (1325718)Instruction limit reached! 127.73/18.92 % (1325718)------------------------------ 127.73/18.92 % (1325718)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 127.73/18.92 % (1325718)Termination reason: Unknown 127.73/18.92 % (1325718)Termination phase: Saturation 127.73/18.92 127.73/18.92 % (1325718)Memory used [KB]: 6140 127.73/18.92 % (1325718)Time elapsed: 0.258 s 127.73/18.92 % (1325718)Instructions burned: 307 (million) 127.73/18.92 % (1325718)------------------------------ 127.73/18.92 % (1325718)------------------------------ 127.73/18.96 % (1325737)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=1548:si=on:rtra=on_0 on E---3.1_1324435 for (1616ds/1548Mi) 127.73/18.99 % (1325737)Refutation not found, incomplete strategy 127.73/18.99 % (1325737)------------------------------ 127.73/18.99 % (1325737)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 127.73/18.99 % (1325737)Termination reason: Refutation not found, incomplete strategy 127.73/18.99 127.73/18.99 127.73/18.99 % (1325737)Memory used [KB]: 6012 127.73/18.99 % (1325737)Time elapsed: 0.031 s 127.73/18.99 % (1325737)Instructions burned: 31 (million) 127.73/18.99 % (1325737)------------------------------ 127.73/18.99 % (1325737)------------------------------ 128.61/19.02 % (1325738)lrs+10_1:3_alpa=true:hud=3:ins=1:ntd=on:plsq=on:plsqc=1:plsqr=32,1:prag=on:s2a=on:s2agt=10:i=5214:si=on:rtra=on_0 on E---3.1_1324435 for (1615ds/5214Mi) 132.11/19.42 % (1325617)Instruction limit reached! 132.11/19.42 % (1325617)------------------------------ 132.11/19.42 % (1325617)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 132.11/19.42 % (1325617)Termination reason: Unknown 132.11/19.42 % (1325617)Termination phase: Saturation 132.11/19.42 132.11/19.42 % (1325617)Memory used [KB]: 9466 132.11/19.42 % (1325617)Time elapsed: 2.435 s 132.11/19.42 % (1325617)Instructions burned: 2546 (million) 132.11/19.42 % (1325617)------------------------------ 132.11/19.42 % (1325617)------------------------------ 132.11/19.45 % (1325766)dis+21_1:1_aac=none:bsr=on:nwc=3.0:s2a=on:i=3201:si=on:rtra=on_0 on E---3.1_1324435 for (1611ds/3201Mi) 135.17/19.93 % (1325670)Instruction limit reached! 135.17/19.93 % (1325670)------------------------------ 135.17/19.93 % (1325670)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 135.17/19.93 % (1325670)Termination reason: Unknown 135.17/19.93 % (1325670)Termination phase: Saturation 135.17/19.93 135.17/19.93 % (1325670)Memory used [KB]: 7291 135.17/19.93 % (1325670)Time elapsed: 2.093 s 135.17/19.93 % (1325670)Instructions burned: 2574 (million) 135.17/19.93 % (1325670)------------------------------ 135.17/19.93 % (1325670)------------------------------ 135.17/19.96 % (1325794)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on E---3.1_1324435 for (1606ds/454Mi) 138.14/20.30 % (1325669)Instruction limit reached! 138.14/20.30 % (1325669)------------------------------ 138.14/20.30 % (1325669)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 138.14/20.30 % (1325669)Termination reason: Unknown 138.14/20.30 % (1325669)Termination phase: Saturation 138.14/20.30 138.14/20.30 % (1325669)Memory used [KB]: 26993 138.14/20.30 % (1325669)Time elapsed: 2.524 s 138.14/20.30 % (1325669)Instructions burned: 5446 (million) 138.14/20.30 % (1325669)------------------------------ 138.14/20.30 % (1325669)------------------------------ 138.14/20.31 % (1325689)Instruction limit reached! 138.14/20.31 % (1325689)------------------------------ 138.14/20.31 % (1325689)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 138.14/20.31 % (1325689)Termination reason: Unknown 138.14/20.31 % (1325689)Termination phase: Saturation 138.14/20.31 138.14/20.31 % (1325689)Memory used [KB]: 6524 138.14/20.31 % (1325689)Time elapsed: 2.154 s 138.14/20.31 % (1325689)Instructions burned: 2655 (million) 138.14/20.31 % (1325689)------------------------------ 138.14/20.31 % (1325689)------------------------------ 138.14/20.32 % (1325571)Instruction limit reached! 138.14/20.32 % (1325571)------------------------------ 138.14/20.32 % (1325571)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 138.14/20.32 % (1325571)Termination reason: Unknown 138.14/20.32 % (1325571)Termination phase: Saturation 138.14/20.32 138.14/20.32 % (1325571)Memory used [KB]: 19701 138.14/20.32 % (1325571)Time elapsed: 4.160 s 138.14/20.32 % (1325571)Instructions burned: 4604 (million) 138.14/20.32 % (1325571)------------------------------ 138.14/20.32 % (1325571)------------------------------ 138.14/20.32 % (1325813)lrs+1002_1:32_au=on:ins=2:nm=16:ntd=on:piset=all_but_not_eq:sp=occurrence:i=3049:si=on:rtra=on_0 on E---3.1_1324435 for (1602ds/3049Mi) 138.14/20.35 % (1325814)lrs+1010_1:1_bd=preordered:cnfonf=off:e2e=on:kws=inv_precedence:lwlo=on:sd=2:ss=axioms:i=7311:si=on:rtra=on_0 on E---3.1_1324435 for (1602ds/7311Mi) 138.14/20.35 % (1325813)Refutation not found, incomplete strategy 138.14/20.35 % (1325813)------------------------------ 138.14/20.35 % (1325813)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 138.14/20.35 % (1325813)Termination reason: Refutation not found, incomplete strategy 138.14/20.35 138.14/20.35 138.14/20.35 % (1325813)Memory used [KB]: 6012 138.14/20.35 % (1325813)Time elapsed: 0.026 s 138.14/20.35 % (1325813)Instructions burned: 53 (million) 138.14/20.35 % (1325813)------------------------------ 138.14/20.35 % (1325813)------------------------------ 138.14/20.35 % (1325794)Instruction limit reached! 138.14/20.35 % (1325794)------------------------------ 138.14/20.35 % (1325794)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 138.14/20.35 % (1325794)Termination reason: Unknown 138.14/20.35 % (1325794)Termination phase: Saturation 138.14/20.35 138.14/20.35 % (1325794)Memory used [KB]: 11257 138.14/20.35 % (1325794)Time elapsed: 0.393 s 138.14/20.35 % (1325794)Instructions burned: 454 (million) 138.14/20.35 % (1325794)------------------------------ 138.14/20.35 % (1325794)------------------------------ 138.79/20.36 % (1325815)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=6804:si=on:rtra=on_0 on E---3.1_1324435 for (1601ds/6804Mi) 138.79/20.37 % (1325816)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1683:si=on:rtra=on_0 on E---3.1_1324435 for (1601ds/1683Mi) 138.79/20.37 % (1325814)Refutation not found, incomplete strategy 138.79/20.37 % (1325814)------------------------------ 138.79/20.37 % (1325814)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 138.79/20.37 % (1325814)Termination reason: Refutation not found, incomplete strategy 138.79/20.37 138.79/20.37 138.79/20.37 % (1325814)Memory used [KB]: 6012 138.79/20.37 % (1325814)Time elapsed: 0.050 s 138.79/20.37 % (1325814)Instructions burned: 28 (million) 138.79/20.37 % (1325814)------------------------------ 138.79/20.37 % (1325814)------------------------------ 138.79/20.38 % (1325817)lrs+10_8:1_au=on:av=off:bd=off:cs=on:e2e=on:hfsq=on:hfsqc=50:hfsql=off:nm=0:i=4688:si=on:rtra=on_0 on E---3.1_1324435 for (1601ds/4688Mi) 138.79/20.40 % (1325815)Refutation not found, incomplete strategy 138.79/20.40 % (1325815)------------------------------ 138.79/20.40 % (1325815)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 138.79/20.40 % (1325815)Termination reason: Refutation not found, incomplete strategy 138.79/20.40 138.79/20.40 138.79/20.40 % (1325815)Memory used [KB]: 6012 138.79/20.40 % (1325815)Time elapsed: 0.043 s 138.79/20.40 % (1325815)Instructions burned: 47 (million) 138.79/20.40 % (1325815)------------------------------ 138.79/20.40 % (1325815)------------------------------ 139.06/20.41 % (1325818)dis-1_1:1_amm=off:au=on:cbe=off:spb=intro:i=2207:si=on:rtra=on_0 on E---3.1_1324435 for (1601ds/2207Mi) 139.06/20.43 % (1325821)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=8216:si=on:rtra=on_0 on E---3.1_1324435 for (1601ds/8216Mi) 140.28/20.83 % (1325699)Instruction limit reached! 140.28/20.83 % (1325699)------------------------------ 140.28/20.83 % (1325699)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 140.28/20.83 % (1325699)Termination reason: Unknown 140.28/20.83 % (1325699)Termination phase: Saturation 140.28/20.83 140.28/20.83 % (1325699)Memory used [KB]: 2814 140.28/20.83 % (1325699)Time elapsed: 2.559 s 140.28/20.83 % (1325699)Instructions burned: 2781 (million) 140.28/20.83 % (1325699)------------------------------ 140.28/20.83 % (1325699)------------------------------ 140.28/20.87 % (1325847)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=430:si=on:rtra=on_0 on E---3.1_1324435 for (1596ds/430Mi) 140.94/21.15 % (1325816)Instruction limit reached! 140.94/21.15 % (1325816)------------------------------ 140.94/21.15 % (1325816)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 140.94/21.15 % (1325816)Termination reason: Unknown 140.94/21.15 % (1325816)Termination phase: Saturation 140.94/21.15 140.94/21.15 % (1325816)Memory used [KB]: 12665 140.94/21.15 % (1325816)Time elapsed: 0.783 s 140.94/21.15 % (1325816)Instructions burned: 1683 (million) 140.94/21.15 % (1325816)------------------------------ 140.94/21.15 % (1325816)------------------------------ 140.94/21.16 % (1325866)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=2012:si=on:rtra=on_0 on E---3.1_1324435 for (1593ds/2012Mi) 140.94/21.22 % (1325847)Instruction limit reached! 140.94/21.22 % (1325847)------------------------------ 140.94/21.22 % (1325847)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 140.94/21.22 % (1325847)Termination reason: Unknown 140.94/21.22 % (1325847)Termination phase: Saturation 140.94/21.22 140.94/21.22 % (1325847)Memory used [KB]: 6524 140.94/21.22 % (1325847)Time elapsed: 0.356 s 140.94/21.22 % (1325847)Instructions burned: 430 (million) 140.94/21.22 % (1325847)------------------------------ 140.94/21.22 % (1325847)------------------------------ 145.15/21.26 % (1325867)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=631:si=on:rtra=on_0 on E---3.1_1324435 for (1592ds/631Mi) 147.82/21.79 % (1325867)Instruction limit reached! 147.82/21.79 % (1325867)------------------------------ 147.82/21.79 % (1325867)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 147.82/21.79 % (1325867)Termination reason: Unknown 147.82/21.79 % (1325867)Termination phase: Saturation 147.82/21.79 147.82/21.79 % (1325867)Memory used [KB]: 7291 147.82/21.79 % (1325867)Time elapsed: 0.538 s 147.82/21.79 % (1325867)Instructions burned: 631 (million) 147.82/21.79 % (1325867)------------------------------ 147.82/21.79 % (1325867)------------------------------ 149.00/21.82 % (1325901)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=8785:si=on:rtra=on_0 on E---3.1_1324435 for (1587ds/8785Mi) 150.20/22.09 % (1325866)Instruction limit reached! 150.20/22.09 % (1325866)------------------------------ 150.20/22.09 % (1325866)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 150.20/22.09 % (1325866)Termination reason: Unknown 150.20/22.09 % (1325866)Termination phase: Saturation 150.20/22.09 150.20/22.09 % (1325866)Memory used [KB]: 20084 150.20/22.09 % (1325866)Time elapsed: 0.931 s 150.20/22.09 % (1325866)Instructions burned: 2013 (million) 150.20/22.09 % (1325866)------------------------------ 150.20/22.09 % (1325866)------------------------------ 150.82/22.11 % (1325920)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=739:si=on:rtra=on_0 on E---3.1_1324435 for (1584ds/739Mi) 152.18/22.34 % (1325766)Instruction limit reached! 152.18/22.34 % (1325766)------------------------------ 152.18/22.34 % (1325766)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 152.18/22.34 % (1325766)Termination reason: Unknown 152.18/22.34 % (1325766)Termination phase: Saturation 152.18/22.34 152.18/22.34 % (1325766)Memory used [KB]: 16247 152.18/22.34 % (1325766)Time elapsed: 2.894 s 152.18/22.34 % (1325766)Instructions burned: 3201 (million) 152.18/22.34 % (1325766)------------------------------ 152.18/22.34 % (1325766)------------------------------ 152.89/22.36 % (1325818)Instruction limit reached! 152.89/22.36 % (1325818)------------------------------ 152.89/22.36 % (1325818)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 152.89/22.36 % (1325818)Termination reason: Unknown 152.89/22.36 % (1325818)Termination phase: Saturation 152.89/22.36 152.89/22.36 % (1325818)Memory used [KB]: 13560 152.89/22.36 % (1325818)Time elapsed: 1.954 s 152.89/22.36 % (1325818)Instructions burned: 2207 (million) 152.89/22.36 % (1325818)------------------------------ 152.89/22.36 % (1325818)------------------------------ 152.89/22.38 % (1325933)dis+1002_1:1024_fe=off:hud=5:prag=on:i=5473:si=on:rtra=on_0 on E---3.1_1324435 for (1581ds/5473Mi) 152.89/22.39 % (1325934)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=43570:si=on:rtra=on_0 on E---3.1_1324435 for (1581ds/43570Mi) 153.12/22.42 % (1325934)Refutation not found, incomplete strategy 153.12/22.42 % (1325934)------------------------------ 153.12/22.42 % (1325934)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 153.12/22.42 % (1325934)Termination reason: Refutation not found, incomplete strategy 153.12/22.42 153.12/22.42 153.12/22.42 % (1325934)Memory used [KB]: 6012 153.12/22.42 % (1325934)Time elapsed: 0.030 s 153.12/22.42 % (1325934)Instructions burned: 31 (million) 153.12/22.42 % (1325934)------------------------------ 153.12/22.42 % (1325934)------------------------------ 153.12/22.45 % (1325937)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=8382:si=on:rtra=on_0 on E---3.1_1324435 for (1580ds/8382Mi) 153.12/22.48 % (1325920)Instruction limit reached! 153.12/22.48 % (1325920)------------------------------ 153.12/22.48 % (1325920)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 153.12/22.48 % (1325920)Termination reason: Unknown 153.12/22.48 % (1325920)Termination phase: Saturation 153.12/22.48 153.12/22.48 % (1325920)Memory used [KB]: 6780 153.12/22.48 % (1325920)Time elapsed: 0.366 s 153.12/22.48 % (1325920)Instructions burned: 739 (million) 153.12/22.48 % (1325920)------------------------------ 153.12/22.48 % (1325920)------------------------------ 153.12/22.49 % (1325944)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=407:si=on:rtra=on_0 on E---3.1_1324435 for (1580ds/407Mi) 154.08/22.68 % (1325944)Instruction limit reached! 154.08/22.68 % (1325944)------------------------------ 154.08/22.68 % (1325944)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 154.08/22.68 % (1325944)Termination reason: Unknown 154.08/22.68 % (1325944)Termination phase: Saturation 154.08/22.68 154.08/22.68 % (1325944)Memory used [KB]: 7931 154.08/22.68 % (1325944)Time elapsed: 0.185 s 154.08/22.68 % (1325944)Instructions burned: 407 (million) 154.08/22.68 % (1325944)------------------------------ 154.08/22.68 % (1325944)------------------------------ 154.08/22.69 % (1325955)lrs+10_1:50_cbe=off:cnfonf=lazy_pi_sigma_gen:fe=off:hud=5:plsq=on:plsqr=1,32:sos=all:i=2971:si=on:rtra=on_0 on E---3.1_1324435 for (1578ds/2971Mi) 154.68/22.73 % (1325955)Refutation not found, incomplete strategy 154.68/22.73 % (1325955)------------------------------ 154.68/22.73 % (1325955)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 154.68/22.73 % (1325955)Termination reason: Refutation not found, incomplete strategy 154.68/22.73 154.68/22.73 154.68/22.73 % (1325955)Memory used [KB]: 6524 154.68/22.73 % (1325955)Time elapsed: 0.034 s 154.68/22.73 % (1325955)Instructions burned: 71 (million) 154.68/22.73 % (1325955)------------------------------ 154.68/22.73 % (1325955)------------------------------ 154.68/22.74 % (1325956)lrs+1002_1:1_aac=none:bd=off:e2e=on:fde=none:fe=off:piset=or:prag=on:rawr=on:sos=on:updr=off:i=9822:si=on:rtra=on_0 on E---3.1_1324435 for (1577ds/9822Mi) 154.68/22.77 % (1325956)Refutation not found, incomplete strategy 154.68/22.77 % (1325956)------------------------------ 154.68/22.77 % (1325956)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 154.68/22.77 % (1325956)Termination reason: Refutation not found, incomplete strategy 154.68/22.77 154.68/22.77 154.68/22.77 % (1325956)Memory used [KB]: 6012 154.68/22.77 % (1325956)Time elapsed: 0.025 s 154.68/22.77 % (1325956)Instructions burned: 50 (million) 154.68/22.77 % (1325956)------------------------------ 154.68/22.77 % (1325956)------------------------------ 155.18/22.80 % (1325963)dis+10_5:1_av=off:ntd=on:s2a=on:s2at=3.0:sgt=16:sp=unary_frequency:ss=axioms:i=8425:si=on:rtra=on_0 on E---3.1_1324435 for (1577ds/8425Mi) 163.00/23.82 % (1325738)Instruction limit reached! 163.00/23.82 % (1325738)------------------------------ 163.00/23.82 % (1325738)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 163.00/23.82 % (1325738)Termination reason: Unknown 163.00/23.82 % (1325738)Termination phase: Saturation 163.00/23.82 163.00/23.82 % (1325738)Memory used [KB]: 24306 163.00/23.82 % (1325738)Time elapsed: 4.793 s 163.00/23.82 % (1325738)Instructions burned: 5215 (million) 163.00/23.82 % (1325738)------------------------------ 163.00/23.82 % (1325738)------------------------------ 163.00/23.86 % (1326021)lrs+30_1:1_aac=none:au=on:cbe=off:cs=on:nm=2:rawr=on:sos=on:i=3107:si=on:rtra=on_0 on E---3.1_1324435 for (1566ds/3107Mi) 167.92/24.58 % (1325817)Instruction limit reached! 167.92/24.58 % (1325817)------------------------------ 167.92/24.58 % (1325817)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 167.92/24.58 % (1325817)Termination reason: Unknown 167.92/24.58 % (1325817)Termination phase: Saturation 167.92/24.58 167.92/24.58 % (1325817)Memory used [KB]: 9722 167.92/24.58 % (1325817)Time elapsed: 4.202 s 167.92/24.58 % (1325817)Instructions burned: 4688 (million) 167.92/24.58 % (1325817)------------------------------ 167.92/24.58 % (1325817)------------------------------ 168.61/24.62 % (1326062)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=7967:si=on:rtra=on_0 on E---3.1_1324435 for (1559ds/7967Mi) 168.61/24.67 % (1326062)Refutation not found, incomplete strategy 168.61/24.67 % (1326062)------------------------------ 168.61/24.67 % (1326062)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 168.61/24.67 % (1326062)Termination reason: Refutation not found, incomplete strategy 168.61/24.67 168.61/24.67 168.61/24.67 % (1326062)Memory used [KB]: 6396 168.61/24.67 % (1326062)Time elapsed: 0.056 s 168.61/24.67 % (1326062)Instructions burned: 64 (million) 168.61/24.67 % (1326062)------------------------------ 168.61/24.67 % (1326062)------------------------------ 169.27/24.71 % (1326068)lrs+1010_10:959_abs=on:acc=on:bd=off:ccuc=small_ones:cha=on:cnfonf=lazy_simp:fd=preordered:fe=off:hud=3:ile=on:kws=inv_frequency:nm=2:piset=and:sd=5:sp=frequency:spb=goal_then_units:ss=axioms:st=4.5:i=3629:si=on:rtra=on_0 on E---3.1_1324435 for (1558ds/3629Mi) 183.93/26.80 % (1326021)Instruction limit reached! 183.93/26.80 % (1326021)------------------------------ 183.93/26.80 % (1326021)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 183.93/26.80 % (1326021)Termination reason: Unknown 183.93/26.80 % (1326021)Termination phase: Saturation 183.93/26.80 183.93/26.80 % (1326021)Memory used [KB]: 10874 183.93/26.80 % (1326021)Time elapsed: 2.940 s 183.93/26.80 % (1326021)Instructions burned: 3107 (million) 183.93/26.80 % (1326021)------------------------------ 183.93/26.80 % (1326021)------------------------------ 183.93/26.84 % (1326190)lrs+1010_1:1024_au=on:fe=axiom:lwlo=on:nm=0:ntd=on:nwc=10.0:spb=non_intro:uhcvi=on:i=939:si=on:rtra=on_0 on E---3.1_1324435 for (1537ds/939Mi) 183.93/26.85 % (1325963)Instruction limit reached! 183.93/26.85 % (1325963)------------------------------ 183.93/26.85 % (1325963)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 183.93/26.85 % (1325963)Termination reason: Unknown 183.93/26.85 % (1325963)Termination phase: Saturation 183.93/26.85 183.93/26.85 % (1325963)Memory used [KB]: 24818 183.93/26.85 % (1325963)Time elapsed: 4.052 s 183.93/26.85 % (1325963)Instructions burned: 8425 (million) 183.93/26.85 % (1325963)------------------------------ 183.93/26.85 % (1325963)------------------------------ 183.93/26.87 % (1326196)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on E---3.1_1324435 for (1536ds/1188Mi) 186.02/27.32 % (1325933)Instruction limit reached! 186.02/27.32 % (1325933)------------------------------ 186.02/27.32 % (1325933)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 186.02/27.32 % (1325933)Termination reason: Unknown 186.02/27.32 % (1325933)Termination phase: Saturation 186.02/27.32 186.02/27.32 % (1325933)Memory used [KB]: 21748 186.02/27.32 % (1325933)Time elapsed: 4.946 s 186.02/27.32 % (1325933)Instructions burned: 5473 (million) 186.02/27.32 % (1325933)------------------------------ 186.02/27.32 % (1325933)------------------------------ 186.02/27.34 % (1326196)Instruction limit reached! 186.02/27.34 % (1326196)------------------------------ 186.02/27.34 % (1326196)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 186.02/27.34 % (1326196)Termination reason: Unknown 186.02/27.34 % (1326196)Termination phase: Saturation 186.02/27.34 186.02/27.34 % (1326196)Memory used [KB]: 6652 186.02/27.34 % (1326196)Time elapsed: 0.473 s 186.02/27.34 % (1326196)Instructions burned: 1189 (million) 186.02/27.34 % (1326196)------------------------------ 186.02/27.34 % (1326196)------------------------------ 187.80/27.36 % (1326217)dis+21_3:2_avsq=on:cbe=off:e2e=on:flr=on:ile=on:nwc=5.0:piset=or:rawr=on:sp=occurrence:i=3205:si=on:rtra=on_0 on E---3.1_1324435 for (1531ds/3205Mi) 187.80/27.36 % (1326220)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on E---3.1_1324435 for (1531ds/865Mi) 187.80/27.38 % (1326220)Refutation not found, incomplete strategy 187.80/27.38 % (1326220)------------------------------ 187.80/27.38 % (1326220)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 187.80/27.38 % (1326220)Termination reason: Refutation not found, incomplete strategy 187.80/27.38 187.80/27.38 187.80/27.38 % (1326220)Memory used [KB]: 6012 187.80/27.38 % (1326220)Time elapsed: 0.026 s 187.80/27.38 % (1326220)Instructions burned: 59 (million) 187.80/27.38 % (1326220)------------------------------ 187.80/27.38 % (1326220)------------------------------ 187.80/27.40 % (1326226)ott+1002_1:1_au=on:bd=off:cbe=off:cha=on:cnfonf=lazy_pi_sigma_gen:fd=off:fe=off:ntd=on:sp=const_frequency:i=7469:si=on:rtra=on_0 on E---3.1_1324435 for (1531ds/7469Mi) 189.10/27.69 % (1326190)Instruction limit reached! 189.10/27.69 % (1326190)------------------------------ 189.10/27.69 % (1326190)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 189.10/27.69 % (1326190)Termination reason: Unknown 189.10/27.69 % (1326190)Termination phase: Saturation 189.10/27.69 189.10/27.69 % (1326190)Memory used [KB]: 6268 189.10/27.69 % (1326190)Time elapsed: 0.861 s 189.10/27.69 % (1326190)Instructions burned: 940 (million) 189.10/27.69 % (1326190)------------------------------ 189.10/27.69 % (1326190)------------------------------ 189.61/27.73 % (1326243)dis+10_1:10_bd=preordered:e2e=on:fde=none:fe=axiom:hud=3:kws=precedence:nwc=3.0:prag=on:sp=const_max:tgt=full:i=4165:si=on:rtra=on_0 on E---3.1_1324435 for (1528ds/4165Mi) 191.20/28.10 % (1325821)Instruction limit reached! 191.20/28.10 % (1325821)------------------------------ 191.20/28.10 % (1325821)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 191.20/28.10 % (1325821)Termination reason: Unknown 191.20/28.10 % (1325821)Termination phase: Saturation 191.20/28.10 191.20/28.10 % (1325821)Memory used [KB]: 11769 191.20/28.10 % (1325821)Time elapsed: 7.674 s 191.20/28.10 % (1325821)Instructions burned: 8216 (million) 191.20/28.10 % (1325821)------------------------------ 191.20/28.10 % (1325821)------------------------------ 191.20/28.14 % (1326264)dis+1010_1:1_au=on:avsq=on:cnfonf=lazy_simp:fsr=off:ntd=on:nwc=10.0:sp=reverse_frequency:ss=axioms:st=1.5:i=13468:si=on:rtra=on_0 on E---3.1_1324435 for (1524ds/13468Mi) 191.20/28.17 % (1326264)Refutation not found, incomplete strategy 191.20/28.17 % (1326264)------------------------------ 191.20/28.17 % (1326264)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 191.20/28.17 % (1326264)Termination reason: Refutation not found, incomplete strategy 191.20/28.17 191.20/28.17 191.20/28.17 % (1326264)Memory used [KB]: 6012 191.20/28.17 % (1326264)Time elapsed: 0.033 s 191.20/28.17 % (1326264)Instructions burned: 34 (million) 191.20/28.17 % (1326264)------------------------------ 191.20/28.17 % (1326264)------------------------------ 191.20/28.18 % (1326068)Instruction limit reached! 191.20/28.18 % (1326068)------------------------------ 191.20/28.18 % (1326068)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 191.20/28.18 % (1326068)Termination reason: Unknown 191.20/28.18 % (1326068)Termination phase: Saturation 191.20/28.18 191.20/28.18 % (1326068)Memory used [KB]: 13048 191.20/28.18 % (1326068)Time elapsed: 3.479 s 191.20/28.18 % (1326068)Instructions burned: 3629 (million) 191.20/28.18 % (1326068)------------------------------ 191.20/28.18 % (1326068)------------------------------ 191.59/28.20 % (1326267)dis+1002_1:1_au=on:bsr=unit_only:cbe=off:fe=off:fsr=off:nm=10:nwc=6.0:plsq=on:plsqc=1:plsqr=32,1:sos=all:i=2635:si=on:rtra=on_0 on E---3.1_1324435 for (1523ds/2635Mi) 191.59/28.22 % (1326271)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=631:si=on:rtra=on_0 on E---3.1_1324435 for (1523ds/631Mi) 197.21/28.77 % (1326271)Instruction limit reached! 197.21/28.77 % (1326271)------------------------------ 197.21/28.77 % (1326271)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 197.21/28.77 % (1326271)Termination reason: Unknown 197.21/28.77 % (1326271)Termination phase: Saturation 197.21/28.77 197.21/28.77 % (1326271)Memory used [KB]: 7036 197.21/28.77 % (1326271)Time elapsed: 0.556 s 197.21/28.77 % (1326271)Instructions burned: 631 (million) 197.21/28.77 % (1326271)------------------------------ 197.21/28.77 % (1326271)------------------------------ 197.87/28.80 % (1326303)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=15557:si=on:rtra=on_0 on E---3.1_1324435 for (1517ds/15557Mi) 203.47/29.62 % (1325901)Instruction limit reached! 203.47/29.62 % (1325901)------------------------------ 203.47/29.62 % (1325901)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 203.47/29.62 % (1325901)Termination reason: Unknown 203.47/29.62 % (1325901)Termination phase: Saturation 203.47/29.62 203.47/29.62 % (1325901)Memory used [KB]: 29551 203.47/29.62 % (1325901)Time elapsed: 7.803 s 203.47/29.62 % (1325901)Instructions burned: 8786 (million) 203.47/29.62 % (1325901)------------------------------ 203.47/29.62 % (1325901)------------------------------ 203.47/29.66 % (1326350)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2142:si=on:rtra=on_0 on E---3.1_1324435 for (1508ds/2142Mi) 204.12/29.74 % (1325937)Instruction limit reached! 204.12/29.74 % (1325937)------------------------------ 204.12/29.74 % (1325937)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 204.12/29.74 % (1325937)Termination reason: Unknown 204.12/29.74 % (1325937)Termination phase: Saturation 204.12/29.74 204.12/29.74 % (1325937)Memory used [KB]: 12025 204.12/29.74 % (1325937)Time elapsed: 7.293 s 204.12/29.74 % (1325937)Instructions burned: 8382 (million) 204.12/29.74 % (1325937)------------------------------ 204.12/29.74 % (1325937)------------------------------ 204.12/29.78 % (1326359)dis+1002_1:1_aac=none:au=on:bd=off:cnfonf=conj_eager:nwc=5.0:sgt=5:sp=reverse_arity:ss=axioms:i=5624:si=on:rtra=on_0 on E---3.1_1324435 for (1507ds/5624Mi) 206.67/30.25 % (1326217)Instruction limit reached! 206.67/30.25 % (1326217)------------------------------ 206.67/30.25 % (1326217)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 206.67/30.25 % (1326217)Termination reason: Unknown 206.67/30.25 % (1326217)Termination phase: Saturation 206.67/30.25 206.67/30.25 % (1326217)Memory used [KB]: 16630 206.67/30.25 % (1326217)Time elapsed: 2.895 s 206.67/30.25 % (1326217)Instructions burned: 3205 (million) 206.67/30.25 % (1326217)------------------------------ 206.67/30.25 % (1326217)------------------------------ 206.67/30.29 % (1326387)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=1665:si=on:rtra=on_0 on E---3.1_1324435 for (1502ds/1665Mi) 209.64/30.55 % (1326267)Instruction limit reached! 209.64/30.55 % (1326267)------------------------------ 209.64/30.55 % (1326267)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 209.64/30.55 % (1326267)Termination reason: Unknown 209.64/30.55 % (1326267)Termination phase: Saturation 209.64/30.55 209.64/30.55 % (1326267)Memory used [KB]: 13176 209.64/30.55 % (1326267)Time elapsed: 2.352 s 209.64/30.55 % (1326267)Instructions burned: 2635 (million) 209.64/30.55 % (1326267)------------------------------ 209.64/30.55 % (1326267)------------------------------ 209.64/30.59 % (1326407)dis+1002_1:1_av=off:prag=on:sd=1:sos=on:sp=occurrence:ss=axioms:i=64912:si=on:rtra=on_0 on E---3.1_1324435 for (1499ds/64912Mi) 210.38/30.62 % (1326407)Refutation not found, incomplete strategy 210.38/30.62 % (1326407)------------------------------ 210.38/30.62 % (1326407)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 210.38/30.62 % (1326407)Termination reason: Refutation not found, incomplete strategy 210.38/30.62 210.38/30.62 210.38/30.62 % (1326407)Memory used [KB]: 1535 210.38/30.62 % (1326407)Time elapsed: 0.058 s 210.38/30.62 % (1326407)Instructions burned: 35 (million) 210.38/30.62 % (1326407)------------------------------ 210.38/30.62 % (1326407)------------------------------ 210.38/30.65 % (1326408)lrs+10_1:32_atotf=0.1:avsq=on:bsr=on:cnfonf=lazy_gen:fde=unused:i=7801:si=on:rtra=on_0 on E---3.1_1324435 for (1498ds/7801Mi) 212.27/30.99 % (1326226)Instruction limit reached! 212.27/30.99 % (1326226)------------------------------ 212.27/30.99 % (1326226)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 212.27/30.99 % (1326226)Termination reason: Unknown 212.27/30.99 % (1326226)Termination phase: Saturation 212.27/30.99 212.27/30.99 % (1326226)Memory used [KB]: 13048 212.27/30.99 % (1326226)Time elapsed: 3.591 s 212.27/30.99 % (1326226)Instructions burned: 7470 (million) 212.27/30.99 % (1326226)------------------------------ 212.27/30.99 % (1326226)------------------------------ 212.88/31.01 % (1326436)ott+2_1:1_au=on:hfsq=on:hfsqc=5:hfsql=off:nwc=5.0:sd=3:ss=axioms:st=5.0:i=15194:si=on:rtra=on_0 on E---3.1_1324435 for (1495ds/15194Mi) 217.47/31.61 % (1326350)Instruction limit reached! 217.47/31.61 % (1326350)------------------------------ 217.47/31.61 % (1326350)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 217.47/31.61 % (1326350)Termination reason: Unknown 217.47/31.61 % (1326350)Termination phase: Saturation 217.47/31.61 217.47/31.61 % (1326350)Memory used [KB]: 11897 217.47/31.61 % (1326350)Time elapsed: 1.919 s 217.47/31.61 % (1326350)Instructions burned: 2142 (million) 217.47/31.61 % (1326350)------------------------------ 217.47/31.61 % (1326350)------------------------------ 217.47/31.64 % (1326465)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=6753:si=on:rtra=on_0 on E---3.1_1324435 for (1489ds/6753Mi) 218.09/31.71 % (1326465)Refutation not found, incomplete strategy 218.09/31.71 % (1326465)------------------------------ 218.09/31.71 % (1326465)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 218.09/31.71 % (1326465)Termination reason: Refutation not found, incomplete strategy 218.09/31.71 218.09/31.71 218.09/31.71 % (1326465)Memory used [KB]: 6140 218.09/31.71 % (1326465)Time elapsed: 0.074 s 218.09/31.71 % (1326465)Instructions burned: 76 (million) 218.09/31.71 % (1326465)------------------------------ 218.09/31.71 % (1326465)------------------------------ 218.09/31.75 % (1326474)lrs+1002_1:28_bd=off:cnfonf=lazy_simp:plsq=on:plsqr=1,1:prag=on:i=1003:si=on:rtra=on_0 on E---3.1_1324435 for (1488ds/1003Mi) 218.09/31.77 % (1326387)Instruction limit reached! 218.09/31.77 % (1326387)------------------------------ 218.09/31.77 % (1326387)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 218.09/31.77 % (1326387)Termination reason: Unknown 218.09/31.77 % (1326387)Termination phase: Saturation 218.09/31.77 218.09/31.77 % (1326387)Memory used [KB]: 7547 218.09/31.77 % (1326387)Time elapsed: 1.484 s 218.09/31.77 % (1326387)Instructions burned: 1665 (million) 218.09/31.77 % (1326387)------------------------------ 218.09/31.77 % (1326387)------------------------------ 218.09/31.79 % (1326243)Instruction limit reached! 218.09/31.79 % (1326243)------------------------------ 218.09/31.79 % (1326243)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 218.09/31.79 % (1326243)Termination reason: Unknown 218.09/31.79 % (1326243)Termination phase: Saturation 218.09/31.79 218.09/31.79 % (1326243)Memory used [KB]: 14200 218.09/31.79 % (1326243)Time elapsed: 4.076 s 218.09/31.79 % (1326243)Instructions burned: 4165 (million) 218.09/31.79 % (1326243)------------------------------ 218.09/31.79 % (1326243)------------------------------ 218.77/31.81 % (1326475)ott-21_5:4_atotf=0.3:e2e=on:hud=15:ins=1:plsq=on:plsqc=1:plsqr=32,1:sp=unary_frequency:tnu=2:i=13018:si=on:rtra=on_0 on E---3.1_1324435 for (1487ds/13018Mi) 218.77/31.83 % (1326477)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1267:si=on:rtra=on_0 on E---3.1_1324435 for (1487ds/1267Mi) 218.77/31.86 % (1326477)Refutation not found, incomplete strategy 218.77/31.86 % (1326477)------------------------------ 218.77/31.86 % (1326477)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 218.77/31.86 % (1326477)Termination reason: Refutation not found, incomplete strategy 218.77/31.86 218.77/31.86 218.77/31.86 % (1326477)Memory used [KB]: 6012 218.77/31.86 % (1326477)Time elapsed: 0.034 s 218.77/31.86 % (1326477)Instructions burned: 32 (million) 218.77/31.86 % (1326477)------------------------------ 218.77/31.86 % (1326477)------------------------------ 218.77/31.90 % (1326486)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=2570:si=on:rtra=on_0 on E---3.1_1324435 for (1486ds/2570Mi) 224.47/32.67 % (1326474)Instruction limit reached! 224.47/32.67 % (1326474)------------------------------ 224.47/32.67 % (1326474)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 224.47/32.68 % (1326474)Termination reason: Unknown 224.47/32.68 % (1326474)Termination phase: Saturation 224.47/32.68 224.47/32.68 % (1326474)Memory used [KB]: 7547 224.47/32.68 % (1326474)Time elapsed: 0.932 s 224.47/32.68 % (1326474)Instructions burned: 1003 (million) 224.47/32.68 % (1326474)------------------------------ 224.47/32.68 % (1326474)------------------------------ 225.15/32.71 % (1326532)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=13163:si=on:rtra=on_0 on E---3.1_1324435 for (1478ds/13163Mi) 232.89/33.85 % (1326486)Instruction limit reached! 232.89/33.85 % (1326486)------------------------------ 232.89/33.85 % (1326486)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 232.89/33.85 % (1326486)Termination reason: Unknown 232.89/33.85 % (1326486)Termination phase: Saturation 232.89/33.85 232.89/33.85 % (1326486)Memory used [KB]: 10106 232.89/33.85 % (1326486)Time elapsed: 1.957 s 232.89/33.85 % (1326486)Instructions burned: 2570 (million) 232.89/33.85 % (1326486)------------------------------ 232.89/33.85 % (1326486)------------------------------ 232.89/33.89 % (1326596)lrs+1666_1:1_au=on:s2a=on:sd=2:ss=axioms:st=5.0:i=5087:si=on:rtra=on_0 on E---3.1_1324435 for (1466ds/5087Mi) 241.33/35.08 % (1326359)Instruction limit reached! 241.33/35.08 % (1326359)------------------------------ 241.33/35.08 % (1326359)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 241.33/35.08 % (1326359)Termination reason: Unknown 241.33/35.08 % (1326359)Termination phase: Saturation 241.33/35.08 241.33/35.08 % (1326359)Memory used [KB]: 10106 241.33/35.08 % (1326359)Time elapsed: 5.305 s 241.33/35.08 % (1326359)Instructions burned: 5624 (million) 241.33/35.08 % (1326359)------------------------------ 241.33/35.08 % (1326359)------------------------------ 242.02/35.11 % (1326657)lrs+1002_1:1_aac=none:au=on:bd=off:cnfonf=lazy_pi_sigma_gen:s2a=on:sac=on:sd=1:sgt=20:ss=axioms:i=10380:si=on:rtra=on_0 on E---3.1_1324435 for (1454ds/10380Mi) 255.40/37.05 % (1326408)Instruction limit reached! 255.40/37.05 % (1326408)------------------------------ 255.40/37.05 % (1326408)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 255.40/37.05 % (1326408)Termination reason: Unknown 255.40/37.05 % (1326408)Termination phase: Saturation 255.40/37.05 255.40/37.05 % (1326408)Memory used [KB]: 12792 255.40/37.05 % (1326408)Time elapsed: 6.398 s 255.40/37.05 % (1326408)Instructions burned: 7801 (million) 255.40/37.05 % (1326408)------------------------------ 255.40/37.05 % (1326408)------------------------------ 255.40/37.08 % (1326761)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4218:si=on:rtra=on_0 on E---3.1_1324435 for (1434ds/4218Mi) 263.12/38.16 % (1326436)Instruction limit reached! 263.12/38.16 % (1326436)------------------------------ 263.12/38.16 % (1326436)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 263.12/38.16 % (1326436)Termination reason: Unknown 263.12/38.16 % (1326436)Termination phase: Saturation 263.12/38.16 263.12/38.16 % (1326436)Memory used [KB]: 57056 263.12/38.16 % (1326436)Time elapsed: 7.152 s 263.12/38.16 % (1326436)Instructions burned: 15194 (million) 263.12/38.16 % (1326436)------------------------------ 263.12/38.16 % (1326436)------------------------------ 263.12/38.18 % (1326816)ott+1666_1:1_hfaw=0:hfsq=on:hfsql=off:hfsqr=1,16:hud=15:slsq=on:slsqr=1,2:tnu=2:i=3971:si=on:rtra=on_0 on E---3.1_1324435 for (1423ds/3971Mi) 264.40/38.43 % (1326596)Instruction limit reached! 264.40/38.43 % (1326596)------------------------------ 264.40/38.43 % (1326596)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 264.40/38.43 % (1326596)Termination reason: Unknown 264.40/38.43 % (1326596)Termination phase: Saturation 264.40/38.43 264.40/38.43 % (1326596)Memory used [KB]: 20340 264.40/38.43 % (1326596)Time elapsed: 4.545 s 264.40/38.43 % (1326596)Instructions burned: 5087 (million) 264.40/38.43 % (1326596)------------------------------ 264.40/38.43 % (1326596)------------------------------ 265.59/38.46 % (1326828)dis+1010_1:1_anc=all_dependent:au=on:bs=on:sd=5:sp=occurrence:ss=axioms:st=2.0:i=14014:si=on:rtra=on_0 on E---3.1_1324435 for (1420ds/14014Mi) 275.78/39.99 % (1326816)Instruction limit reached! 275.78/39.99 % (1326816)------------------------------ 275.78/39.99 % (1326816)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 275.78/39.99 % (1326816)Termination reason: Unknown 275.78/39.99 % (1326816)Termination phase: Saturation 275.78/39.99 275.78/39.99 % (1326816)Memory used [KB]: 17398 275.78/39.99 % (1326816)Time elapsed: 1.803 s 275.78/39.99 % (1326816)Instructions burned: 3972 (million) 275.78/39.99 % (1326816)------------------------------ 275.78/39.99 % (1326816)------------------------------ 276.47/40.01 % (1326917)lrs+10_1:1_ins=1:sgt=8:ss=axioms:i=8517:si=on:rtra=on_0 on E---3.1_1324435 for (1405ds/8517Mi) 282.06/40.85 % (1326761)Instruction limit reached! 282.06/40.85 % (1326761)------------------------------ 282.06/40.85 % (1326761)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 282.06/40.85 % (1326761)Termination reason: Unknown 282.06/40.85 % (1326761)Termination phase: Saturation 282.06/40.85 282.06/40.85 % (1326761)Memory used [KB]: 18166 282.06/40.85 % (1326761)Time elapsed: 3.773 s 282.06/40.85 % (1326761)Instructions burned: 4218 (million) 282.06/40.85 % (1326761)------------------------------ 282.06/40.85 % (1326761)------------------------------ 282.06/40.88 % (1326963)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=10148:si=on:rtra=on_0 on E---3.1_1324435 for (1396ds/10148Mi) 290.50/42.10 % (1326657)First to succeed. 291.92/42.21 % (1326657)Refutation found. Thanks to Tanya! 291.92/42.21 % SZS status Theorem for E---3.1_1324435 291.92/42.21 % SZS output start Proof for E---3.1_1324435 291.92/42.21 thf(type_def_6, type, d_unsorted: $tType). 291.92/42.21 thf(func_def_0, type, unsorted: $tType). 291.92/42.21 thf(func_def_1, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o). 291.92/42.21 thf(func_def_2, type, inv: ($i > $i > $o) > $i > $i > $o). 291.92/42.21 thf(func_def_3, type, idem: (($i > $i > $o) > $i > $i > $o) > $o). 291.92/42.21 thf(func_def_4, type, infl: (($i > $i > $o) > $i > $i > $o) > $o). 291.92/42.21 thf(func_def_5, type, mono: (($i > $i > $o) > $i > $i > $o) > $o). 291.92/42.21 thf(func_def_6, type, refl: ($i > $i > $o) > $o). 291.92/42.21 thf(func_def_7, type, irrefl: ($i > $i > $o) > $o). 291.92/42.21 thf(func_def_8, type, rc: ($i > $i > $o) > $i > $i > $o). 291.92/42.21 thf(func_def_9, type, symm: ($i > $i > $o) > $o). 291.92/42.21 thf(func_def_10, type, antisymm: ($i > $i > $o) > $o). 291.92/42.21 thf(func_def_11, type, asymm: ($i > $i > $o) > $o). 291.92/42.21 thf(func_def_12, type, sc: ($i > $i > $o) > $i > $i > $o). 291.92/42.21 thf(func_def_13, type, trans: ($i > $i > $o) > $o). 291.92/42.21 thf(func_def_14, type, tc: ($i > $i > $o) > $i > $i > $o). 291.92/42.21 thf(func_def_15, type, trc: ($i > $i > $o) > $i > $i > $o). 291.92/42.21 thf(func_def_16, type, trsc: ($i > $i > $o) > $i > $i > $o). 291.92/42.21 thf(func_def_17, type, po: ($i > $i > $o) > $o). 291.92/42.21 thf(func_def_18, type, so: ($i > $i > $o) > $o). 291.92/42.21 thf(func_def_19, type, total: ($i > $i > $o) > $o). 291.92/42.21 thf(func_def_20, type, term: ($i > $i > $o) > $o). 291.92/42.21 thf(func_def_21, type, ind: ($i > $i > $o) > $o). 291.92/42.21 thf(func_def_22, type, innf: ($i > $i > $o) > $i > $o). 291.92/42.21 thf(func_def_23, type, nfof: ($i > $i > $o) > $i > $i > $o). 291.92/42.21 thf(func_def_24, type, norm: ($i > $i > $o) > $o). 291.92/42.21 thf(func_def_25, type, join: ($i > $i > $o) > $i > $i > $o). 291.92/42.21 thf(func_def_26, type, lconfl: ($i > $i > $o) > $o). 291.92/42.21 thf(func_def_27, type, sconfl: ($i > $i > $o) > $o). 291.92/42.21 thf(func_def_28, type, confl: ($i > $i > $o) > $o). 291.92/42.21 thf(func_def_29, type, cr: ($i > $i > $o) > $o). 291.92/42.21 thf(func_def_30, type, d_unsorted: $tType). 291.92/42.21 thf(func_def_31, type, d2unsorted: d_unsorted > $i). 291.92/42.21 thf(func_def_32, type, d_unsorted_0: d_unsorted). 291.92/42.21 thf(func_def_55, type, ph1: !>[X0: $tType]:(X0)). 291.92/42.21 thf(func_def_56, type, sK2: $i > $i > $o). 291.92/42.21 thf(func_def_57, type, sK3: $i > d_unsorted). 291.92/42.21 thf(func_def_59, type, sK5: ($i > $i > $o) > $i > $i > $o). 291.92/42.21 thf(func_def_60, type, sK6: ($i > $i > $o) > $i). 291.92/42.21 thf(func_def_61, type, sK7: ($i > $i > $o) > $i > $i > $o). 291.92/42.21 thf(func_def_62, type, sK8: ($i > $i > $o) > $i). 291.92/42.21 thf(func_def_63, type, sK9: ($i > $i > $o) > $i). 291.92/42.21 thf(func_def_64, type, sK10: ($i > $i > $o) > $i). 291.92/42.21 thf(func_def_67, type, sK13: ($i > $i > $o) > $i). 291.92/42.21 thf(func_def_68, type, sK14: ($i > $i > $o) > $i > $i > $o). 291.92/42.21 thf(func_def_69, type, sK15: ($i > $i > $o) > $i > $i > $o). 291.92/42.21 thf(func_def_70, type, sK16: ($i > $i > $o) > $i). 291.92/42.21 thf(func_def_71, type, sK17: ($i > $i > $o) > $i). 291.92/42.21 thf(func_def_72, type, sK18: ($i > $i > $o) > $i). 291.92/42.21 thf(func_def_73, type, sK19: ($i > $i > $o) > $i). 291.92/42.21 thf(func_def_74, type, sK20: ($i > $i > $o) > $i). 291.92/42.21 thf(func_def_75, type, sK21: ($i > $i > $o) > $i). 291.92/42.21 thf(func_def_76, type, sK22: ($i > $i > $o) > $i). 291.92/42.21 thf(func_def_77, type, sK23: $i > ($i > $i > $o) > $i > $i > $i > $o). 291.92/42.21 thf(func_def_78, type, sK24: ($i > $i > $o) > $i > $i). 291.92/42.21 thf(func_def_79, type, sK25: ($i > $i > $o) > $i). 291.92/42.21 thf(func_def_80, type, sK26: ($i > $i > $o) > $i). 291.92/42.21 thf(func_def_81, type, sK27: ($i > $i > $o) > $i). 291.92/42.21 thf(func_def_82, type, sK28: ($i > $i > $o) > ($i > $i > $o) > $i). 291.92/42.21 thf(func_def_83, type, sK29: ($i > $i > $o) > ($i > $i > $o) > $i). 291.92/42.21 thf(func_def_84, type, sK30: ($i > $i > $o) > $i). 291.92/42.21 thf(func_def_85, type, sK31: ($i > $i > $o) > $i). 291.92/42.21 thf(func_def_86, type, sK32: $i > ($i > $i > $o) > $i > $i > $i > $o). 291.92/42.21 thf(f22275,plain,( 291.92/42.21 $false), 291.92/42.21 inference(avatar_sat_refutation,[status(thm)],[f146,f368,f22259])). 291.92/42.21 thf(f22259,plain,( 291.92/42.21 ~spl0_3), 291.92/42.21 inference(avatar_contradiction_clause,[status(thm)],[f22258])). 291.92/42.21 thf(f22258,plain,( 291.92/42.21 $false | ~spl0_3), 291.92/42.21 inference(trivial_inequality_removal,[status(thm)],[f22099])). 291.92/42.21 thf(f22099,plain,( 291.92/42.21 ($false = $true) | ~spl0_3), 291.92/42.21 inference(superposition,[status(thm)],[f22088,f386])). 291.92/42.21 thf(f386,plain,( 291.92/42.21 ( ! [X0 : $i] : (((join @ sK2 @ sK11 @ X0) = $false)) ) | ~spl0_3), 291.92/42.21 inference(superposition,[status(thm)],[f382,f150])). 291.92/42.21 thf(f150,plain,( 291.92/42.21 ( ! [X0 : $i,X1 : $i] : ((X0 = X1)) )), 291.92/42.21 inference(superposition,[status(thm)],[f139,f139])). 291.92/42.21 thf(f139,plain,( 291.92/42.21 ( ! [X1 : $i] : (((d2unsorted @ d_unsorted_0) = X1)) )), 291.92/42.21 inference(equality_proxy_clausification,[status(thm)],[f138])). 291.92/42.21 thf(f138,plain,( 291.92/42.21 ( ! [X1 : $i] : ((((d2unsorted @ d_unsorted_0) = X1) = $true)) )), 291.92/42.21 inference(forward_demodulation,[status(thm)],[f137,f110])). 291.92/42.21 thf(f110,plain,( 291.92/42.21 ( ! [X1 : d_unsorted] : ((d_unsorted_0 = X1)) )), 291.92/42.21 inference(equality_proxy_clausification,[status(thm)],[f109])). 291.92/42.21 thf(f109,plain,( 291.92/42.21 ( ! [X1 : d_unsorted] : (((d_unsorted_0 = X1) = $true)) )), 291.92/42.21 inference(pi_clausification,[status(thm)],[f16])). 291.92/42.21 thf(f16,plain,( 291.92/42.21 ((!! @ d_unsorted @ (= @ d_unsorted_0)) = $true)), 291.92/42.21 inference(binary_proxy_clausification,[status(thm)],[f15])). 291.92/42.21 thf(f15,plain,( 291.92/42.21 ((((((((((((((((((((((((((((((((sconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $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 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y4 @ Y7 @ Y6))))))) | (~ (Y0 @ Y2 @ Y3))) | ((~ (Y2 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y7)) | (Y6 @ Y9 @ Y8)) | (~ (Y6 @ Y7 @ Y8))))))))))) | (Y6 @ Y2 @ Y1))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8))))))) | (Y7 @ Y3 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (~ (Y7 @ Y8 @ Y10))) | (Y7 @ Y8 @ Y9))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y1 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (Y7 @ Y10 @ Y8)) | (~ (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 @ Y1 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y7 @ Y8)) | (Y5 @ Y6 @ Y8)) | (~ (Y5 @ Y6 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (Y3 = Y1)) | (Y4 @ Y3 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y8 @ Y7)) | (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y6 @ Y8))))))))))))))))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2))))))))) = subrel)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y1 = Y2))))))) = rc)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = symm)) & (nfof = (^[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 @ Y4)) | (~ (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))) | (Y3 @ Y2 @ Y1)))) | (Y1 = Y2)) & (!! @ $i @ (^[Y3 : $i]: (~ (Y0 @ Y1 @ Y3)))))))))))) & (!! @ d_unsorted @ (^[Y0 : d_unsorted]: (!! @ d_unsorted @ (^[Y1 : d_unsorted]: (((d2unsorted @ Y1) = (d2unsorted @ Y0)) => (Y1 = Y0))))))) & (ind = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $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 @ Y6 @ Y8))) | (~ (Y5 @ Y8 @ Y7))))))))))) | (Y5 @ Y3 @ Y4))))))))) | (Y2 @ Y3))))))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y1) | (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = total)) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((Y0 @ (Y0 @ Y1)) = (Y0 @ Y1))))) = idem)) & (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y0 @ Y4 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y3 @ Y5 @ Y6)) | (Y4 @ Y5 @ Y6)))))))) | (~ (Y0 @ Y3 @ Y1 @ Y2)))))))))))))) & (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (Y2 = Y1)) | (~ (Y0 @ Y1 @ Y2)))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y1 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y4)) | (~ (Y0 @ Y3 @ Y4)))))))))))))))) = term)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y5 @ Y6) | (~ (Y0 @ Y5 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (Y4 @ Y5 @ Y6)) | (~ (Y4 @ Y5 @ Y7)))))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (~ (Y0 @ Y3 @ Y4))))))))))))))) = norm)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) = refl)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y3)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y3 @ Y2)))))))))) = trans)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((((((((((Y3 @ Y1 @ Y5) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y8 @ Y6)) | (~ (Y2 @ Y7 @ Y8))) | (Y2 @ Y7 @ Y6)))))))))) | (Y5 = Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y5 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y8 @ Y10) | (~ (Y7 @ Y9 @ Y10))) | (~ (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y8 @ Y9)) | (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y10 @ Y9) | (~ (Y7 @ Y10 @ Y8))) | (~ (Y7 @ Y8 @ Y9)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))) | (Y7 @ Y1 @ Y6)))))))))) | (Y2 @ Y5 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y2 @ Y6 @ Y7)))))))) | (~ (Y0 @ Y4 @ Y5))) | (~ (Y0 @ Y4 @ Y1))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y3 @ Y8 @ Y7) | (~ (Y3 @ Y6 @ Y7))) | (~ (Y3 @ Y8 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y3 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6)))))))))))))))))))) = lconfl)) & (po = (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y1 @ Y3))) | (~ (Y0 @ Y3 @ Y2))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y1 @ Y2))) | (Y2 = Y1))))))) & (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))))))) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y3 @ Y2))))))))) = infl)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) = inv)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y5))) | (Y4 @ Y7 @ Y5))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y5)) | (~ (Y4 @ Y6 @ Y7))) | (Y4 @ Y6 @ Y5)))))))))))))))) & (~ (Y1 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y6)) | (Y3 @ Y4 @ Y5)) | (~ (Y3 @ Y6 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y2 @ Y1)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y5) | (~ (Y3 @ Y6 @ Y5))) | (~ (Y3 @ Y4 @ Y6)))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))))))))))))) = join)) & (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1)))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (~ (Y0 @ Y1 @ Y2))))))) = innf)) & (trsc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y5)) | (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y6 @ Y4))))))))))) | (Y3 @ Y1 @ Y2)))) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y4 @ Y5))) | (Y3 @ Y6 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (Y3 @ Y2 @ Y1))))) | (Y1 = Y2))))))))) & ((^[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 @ Y6 @ Y4)) | (Y3 @ Y5 @ Y4)) | (~ (Y3 @ Y5 @ Y6))))))))))) | (Y3 @ Y1 @ Y2)))))))))) = trc)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2))))))) = sc)) & ((^[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 @ Y4)) | (~ (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (Y3 @ Y1 @ Y2))))))))) = tc)) & (!! @ $i @ (^[Y0 : $i]: (?? @ d_unsorted @ (^[Y1 : d_unsorted]: ((d2unsorted @ Y1) = Y0)))))) & ((^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y1 @ Y3))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y1 @ Y2))))))))) = so)) & (irrefl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1 @ Y1))))))) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (((((((((Y4 = Y1) | (Y3 @ Y4 @ Y1)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y4 @ Y5) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y8 @ Y7) | (~ (Y0 @ Y8 @ Y7))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y7 @ Y8)) | (~ (Y6 @ Y8 @ Y9))) | (Y6 @ Y7 @ Y9))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y7 @ Y8)) | (Y6 @ Y7 @ Y8))))))) | (Y6 @ Y1 @ Y5)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y9 @ Y7) | (~ (Y6 @ Y8 @ Y7))) | (~ (Y6 @ Y9 @ Y8))))))))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y3 @ Y5 @ Y7)) | (~ (Y3 @ Y6 @ Y5))) | (Y3 @ Y6 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y2 @ Y5 @ Y7) | (~ (Y2 @ Y6 @ Y7))) | (~ (Y2 @ Y5 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y5 @ Y6)) | (Y2 @ Y5 @ Y6)))))))) | (Y2 @ Y1 @ Y4)) | (((~ (Y4 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y4 @ Y1) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y5 @ Y8 @ Y7) | (~ (Y5 @ Y8 @ Y6))) | (~ (Y5 @ Y6 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))))))) & (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y1 @ Y4) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y5 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y6 @ Y8)) | (~ (Y5 @ Y7 @ Y6))) | (Y5 @ Y7 @ Y8))))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5)))))))))))))))))) = cr)) & (!! @ d_unsorted @ (= @ d_unsorted_0))) = $true)), 291.92/42.21 inference(binary_proxy_clausification,[status(thm)],[f11])). 291.92/42.21 thf(f11,plain,( 291.92/42.21 ($true = ((((((((((((((((((((((((((((((((sconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $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 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y4 @ Y7 @ Y6))))))) | (~ (Y0 @ Y2 @ Y3))) | ((~ (Y2 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y7)) | (Y6 @ Y9 @ Y8)) | (~ (Y6 @ Y7 @ Y8))))))))))) | (Y6 @ Y2 @ Y1))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8))))))) | (Y7 @ Y3 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (~ (Y7 @ Y8 @ Y10))) | (Y7 @ Y8 @ Y9))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y1 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (Y7 @ Y10 @ Y8)) | (~ (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 @ Y1 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y7 @ Y8)) | (Y5 @ Y6 @ Y8)) | (~ (Y5 @ Y6 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (Y3 = Y1)) | (Y4 @ Y3 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y8 @ Y7)) | (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y6 @ Y8))))))))))))))))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2))))))))) = subrel)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y1 = Y2))))))) = rc)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = symm)) & (nfof = (^[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 @ Y4)) | (~ (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))) | (Y3 @ Y2 @ Y1)))) | (Y1 = Y2)) & (!! @ $i @ (^[Y3 : $i]: (~ (Y0 @ Y1 @ Y3)))))))))))) & (!! @ d_unsorted @ (^[Y0 : d_unsorted]: (!! @ d_unsorted @ (^[Y1 : d_unsorted]: (((d2unsorted @ Y1) = (d2unsorted @ Y0)) => (Y1 = Y0))))))) & (ind = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $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 @ Y6 @ Y8))) | (~ (Y5 @ Y8 @ Y7))))))))))) | (Y5 @ Y3 @ Y4))))))))) | (Y2 @ Y3))))))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y1) | (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = total)) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((Y0 @ (Y0 @ Y1)) = (Y0 @ Y1))))) = idem)) & (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y0 @ Y4 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y3 @ Y5 @ Y6)) | (Y4 @ Y5 @ Y6)))))))) | (~ (Y0 @ Y3 @ Y1 @ Y2)))))))))))))) & (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (Y2 = Y1)) | (~ (Y0 @ Y1 @ Y2)))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y1 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y4)) | (~ (Y0 @ Y3 @ Y4)))))))))))))))) = term)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y5 @ Y6) | (~ (Y0 @ Y5 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (Y4 @ Y5 @ Y6)) | (~ (Y4 @ Y5 @ Y7)))))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (~ (Y0 @ Y3 @ Y4))))))))))))))) = norm)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) = refl)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y3)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y3 @ Y2)))))))))) = trans)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((((((((((Y3 @ Y1 @ Y5) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y8 @ Y6)) | (~ (Y2 @ Y7 @ Y8))) | (Y2 @ Y7 @ Y6)))))))))) | (Y5 = Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y5 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y8 @ Y10) | (~ (Y7 @ Y9 @ Y10))) | (~ (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y8 @ Y9)) | (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y10 @ Y9) | (~ (Y7 @ Y10 @ Y8))) | (~ (Y7 @ Y8 @ Y9)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))) | (Y7 @ Y1 @ Y6)))))))))) | (Y2 @ Y5 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y2 @ Y6 @ Y7)))))))) | (~ (Y0 @ Y4 @ Y5))) | (~ (Y0 @ Y4 @ Y1))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y3 @ Y8 @ Y7) | (~ (Y3 @ Y6 @ Y7))) | (~ (Y3 @ Y8 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y3 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6)))))))))))))))))))) = lconfl)) & (po = (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y1 @ Y3))) | (~ (Y0 @ Y3 @ Y2))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y1 @ Y2))) | (Y2 = Y1))))))) & (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))))))) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y3 @ Y2))))))))) = infl)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) = inv)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y5))) | (Y4 @ Y7 @ Y5))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y5)) | (~ (Y4 @ Y6 @ Y7))) | (Y4 @ Y6 @ Y5)))))))))))))))) & (~ (Y1 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y6)) | (Y3 @ Y4 @ Y5)) | (~ (Y3 @ Y6 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y2 @ Y1)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y5) | (~ (Y3 @ Y6 @ Y5))) | (~ (Y3 @ Y4 @ Y6)))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))))))))))))) = join)) & (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1)))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (~ (Y0 @ Y1 @ Y2))))))) = innf)) & (trsc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y5)) | (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y6 @ Y4))))))))))) | (Y3 @ Y1 @ Y2)))) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y4 @ Y5))) | (Y3 @ Y6 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (Y3 @ Y2 @ Y1))))) | (Y1 = Y2))))))))) & ((^[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 @ Y6 @ Y4)) | (Y3 @ Y5 @ Y4)) | (~ (Y3 @ Y5 @ Y6))))))))))) | (Y3 @ Y1 @ Y2)))))))))) = trc)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2))))))) = sc)) & ((^[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 @ Y4)) | (~ (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (Y3 @ Y1 @ Y2))))))))) = tc)) & (!! @ $i @ (^[Y0 : $i]: (?? @ d_unsorted @ (^[Y1 : d_unsorted]: ((d2unsorted @ Y1) = Y0)))))) & ((^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y1 @ Y3))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y1 @ Y2))))))))) = so)) & (irrefl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1 @ Y1))))))) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (((((((((Y4 = Y1) | (Y3 @ Y4 @ Y1)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y4 @ Y5) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y8 @ Y7) | (~ (Y0 @ Y8 @ Y7))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y7 @ Y8)) | (~ (Y6 @ Y8 @ Y9))) | (Y6 @ Y7 @ Y9))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y7 @ Y8)) | (Y6 @ Y7 @ Y8))))))) | (Y6 @ Y1 @ Y5)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y9 @ Y7) | (~ (Y6 @ Y8 @ Y7))) | (~ (Y6 @ Y9 @ Y8))))))))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y3 @ Y5 @ Y7)) | (~ (Y3 @ Y6 @ Y5))) | (Y3 @ Y6 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y2 @ Y5 @ Y7) | (~ (Y2 @ Y6 @ Y7))) | (~ (Y2 @ Y5 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y5 @ Y6)) | (Y2 @ Y5 @ Y6)))))))) | (Y2 @ Y1 @ Y4)) | (((~ (Y4 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y4 @ Y1) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y5 @ Y8 @ Y7) | (~ (Y5 @ Y8 @ Y6))) | (~ (Y5 @ Y6 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))))))) & (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y1 @ Y4) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y5 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y6 @ Y8)) | (~ (Y5 @ Y7 @ Y6))) | (Y5 @ Y7 @ Y8))))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5)))))))))))))))))) = cr)) & (!! @ d_unsorted @ (= @ d_unsorted_0))) & ((^[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 : $i]: ((((((((((Y1 @ Y3 @ Y5) | (Y5 = Y3)) | ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y4 @ Y3) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7)))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y7)) | (Y6 @ Y8 @ Y7)) | (~ (Y6 @ Y8 @ Y9)))))))))))))) & (~ (Y4 = Y3)))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y8 @ Y9)) | (~ (Y7 @ Y9 @ Y10))) | (Y7 @ Y8 @ Y10))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8))))))))) | (Y7 @ Y5 @ Y6))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8)))))))) | (Y7 @ Y3 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (Y7 @ Y8 @ Y9)) | (~ (Y7 @ Y8 @ Y10))))))))))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y2 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y1 @ Y6 @ Y7)))))))) | (Y2 @ Y5 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y1 @ Y6 @ Y8)) | (Y1 @ Y7 @ Y8)) | (~ (Y1 @ Y7 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y7 @ Y8)) | (Y2 @ Y6 @ Y8)) | (~ (Y2 @ Y6 @ Y7))))))))))) | ((~ (Y5 = Y4)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y7 @ Y8)) | (~ (Y6 @ Y8 @ Y9))) | (Y6 @ Y7 @ Y9))))))))) | (Y6 @ Y4 @ Y5)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7)))))))))))))))))))))))) = confl)))), 291.92/42.21 inference(beta_eta_normalization,[status(thm)],[f10])). 291.92/42.21 thf(f10,plain,( 291.92/42.21 ($true = ((((((((((((((((((((((((((((((((sconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $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 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y4 @ Y7 @ Y6))))))) | (~ (Y0 @ Y2 @ Y3))) | ((~ (Y2 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y7)) | (Y6 @ Y9 @ Y8)) | (~ (Y6 @ Y7 @ Y8))))))))))) | (Y6 @ Y2 @ Y1))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8))))))) | (Y7 @ Y3 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (~ (Y7 @ Y8 @ Y10))) | (Y7 @ Y8 @ Y9))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y1 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (Y7 @ Y10 @ Y8)) | (~ (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 @ Y1 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y7 @ Y8)) | (Y5 @ Y6 @ Y8)) | (~ (Y5 @ Y6 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (Y3 = Y1)) | (Y4 @ Y3 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y8 @ Y7)) | (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y6 @ Y8))))))))))))))))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2))))))))) = subrel)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y1 = Y2))))))) = rc)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = symm)) & (nfof = (^[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 @ Y4)) | (~ (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))) | (Y3 @ Y2 @ Y1)))) | (Y1 = Y2)) & (!! @ $i @ (^[Y3 : $i]: (~ (Y0 @ Y1 @ Y3)))))))))))) & (!! @ d_unsorted @ (^[Y0 : d_unsorted]: (!! @ d_unsorted @ (^[Y1 : d_unsorted]: (((d2unsorted @ Y1) = (d2unsorted @ Y0)) => (Y1 = Y0))))))) & (ind = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $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 @ Y6 @ Y8))) | (~ (Y5 @ Y8 @ Y7))))))))))) | (Y5 @ Y3 @ Y4))))))))) | (Y2 @ Y3))))))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y1) | (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = total)) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((Y0 @ (Y0 @ Y1)) = (Y0 @ Y1))))) = idem)) & (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y0 @ Y4 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y3 @ Y5 @ Y6)) | (Y4 @ Y5 @ Y6)))))))) | (~ (Y0 @ Y3 @ Y1 @ Y2)))))))))))))) & (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (Y2 = Y1)) | (~ (Y0 @ Y1 @ Y2)))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y1 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y4)) | (~ (Y0 @ Y3 @ Y4)))))))))))))))) = term)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y5 @ Y6) | (~ (Y0 @ Y5 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (Y4 @ Y5 @ Y6)) | (~ (Y4 @ Y5 @ Y7)))))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (~ (Y0 @ Y3 @ Y4))))))))))))))) = norm)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) = refl)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y3)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y3 @ Y2)))))))))) = trans)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((((((((((Y3 @ Y1 @ Y5) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y8 @ Y6)) | (~ (Y2 @ Y7 @ Y8))) | (Y2 @ Y7 @ Y6)))))))))) | (Y5 = Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y5 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y8 @ Y10) | (~ (Y7 @ Y9 @ Y10))) | (~ (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y8 @ Y9)) | (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y10 @ Y9) | (~ (Y7 @ Y10 @ Y8))) | (~ (Y7 @ Y8 @ Y9)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))) | (Y7 @ Y1 @ Y6)))))))))) | (Y2 @ Y5 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y2 @ Y6 @ Y7)))))))) | (~ (Y0 @ Y4 @ Y5))) | (~ (Y0 @ Y4 @ Y1))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y3 @ Y8 @ Y7) | (~ (Y3 @ Y6 @ Y7))) | (~ (Y3 @ Y8 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y3 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6)))))))))))))))))))) = lconfl)) & (po = (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y1 @ Y3))) | (~ (Y0 @ Y3 @ Y2))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y1 @ Y2))) | (Y2 = Y1))))))) & (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))))))) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y3 @ Y2))))))))) = infl)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) = inv)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y5))) | (Y4 @ Y7 @ Y5))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y5)) | (~ (Y4 @ Y6 @ Y7))) | (Y4 @ Y6 @ Y5)))))))))))))))) & (~ (Y1 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y6)) | (Y3 @ Y4 @ Y5)) | (~ (Y3 @ Y6 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y2 @ Y1)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y5) | (~ (Y3 @ Y6 @ Y5))) | (~ (Y3 @ Y4 @ Y6)))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))))))))))))) = join)) & (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1)))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (~ (Y0 @ Y1 @ Y2))))))) = innf)) & (trsc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y5)) | (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y6 @ Y4))))))))))) | (Y3 @ Y1 @ Y2)))) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y4 @ Y5))) | (Y3 @ Y6 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (Y3 @ Y2 @ Y1))))) | (Y1 = Y2))))))))) & ((^[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 @ Y6 @ Y4)) | (Y3 @ Y5 @ Y4)) | (~ (Y3 @ Y5 @ Y6))))))))))) | (Y3 @ Y1 @ Y2)))))))))) = trc)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2))))))) = sc)) & ((^[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 @ Y4)) | (~ (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (Y3 @ Y1 @ Y2))))))))) = tc)) & (!! @ $i @ (^[Y0 : $i]: (?? @ d_unsorted @ (^[Y1 : d_unsorted]: ((d2unsorted @ Y1) = Y0)))))) & ((^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y1 @ Y3))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y1 @ Y2))))))))) = so)) & (irrefl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1 @ Y1))))))) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (((((((((Y4 = Y1) | (Y3 @ Y4 @ Y1)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y4 @ Y5) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y8 @ Y7) | (~ (Y0 @ Y8 @ Y7))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y7 @ Y8)) | (~ (Y6 @ Y8 @ Y9))) | (Y6 @ Y7 @ Y9))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y7 @ Y8)) | (Y6 @ Y7 @ Y8))))))) | (Y6 @ Y1 @ Y5)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y9 @ Y7) | (~ (Y6 @ Y8 @ Y7))) | (~ (Y6 @ Y9 @ Y8))))))))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y3 @ Y5 @ Y7)) | (~ (Y3 @ Y6 @ Y5))) | (Y3 @ Y6 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y2 @ Y5 @ Y7) | (~ (Y2 @ Y6 @ Y7))) | (~ (Y2 @ Y5 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y5 @ Y6)) | (Y2 @ Y5 @ Y6)))))))) | (Y2 @ Y1 @ Y4)) | (((~ (Y4 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y4 @ Y1) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y5 @ Y8 @ Y7) | (~ (Y5 @ Y8 @ Y6))) | (~ (Y5 @ Y6 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))))))) & (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y1 @ Y4) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y5 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y6 @ Y8)) | (~ (Y5 @ Y7 @ Y6))) | (Y5 @ Y7 @ Y8))))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5)))))))))))))))))) = cr)) & (!! @ d_unsorted @ (^[Y0 : d_unsorted]: (d_unsorted_0 = Y0)))) & ((^[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 : $i]: ((((((((((Y1 @ Y3 @ Y5) | (Y5 = Y3)) | ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y4 @ Y3) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7)))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y7)) | (Y6 @ Y8 @ Y7)) | (~ (Y6 @ Y8 @ Y9)))))))))))))) & (~ (Y4 = Y3)))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y8 @ Y9)) | (~ (Y7 @ Y9 @ Y10))) | (Y7 @ Y8 @ Y10))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8))))))))) | (Y7 @ Y5 @ Y6))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8)))))))) | (Y7 @ Y3 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (Y7 @ Y8 @ Y9)) | (~ (Y7 @ Y8 @ Y10))))))))))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y2 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y1 @ Y6 @ Y7)))))))) | (Y2 @ Y5 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y1 @ Y6 @ Y8)) | (Y1 @ Y7 @ Y8)) | (~ (Y1 @ Y7 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y7 @ Y8)) | (Y2 @ Y6 @ Y8)) | (~ (Y2 @ Y6 @ Y7))))))))))) | ((~ (Y5 = Y4)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y7 @ Y8)) | (~ (Y6 @ Y8 @ Y9))) | (Y6 @ Y7 @ Y9))))))))) | (Y6 @ Y4 @ Y5)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7)))))))))))))))))))))))) = confl)))), 291.92/42.21 inference(cnf_transformation,[status(thm)],[f8])). 291.92/42.21 thf(f8,plain,( 291.92/42.21 ($true = ((((((((((((((((((((((((((((((((sconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $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 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y4 @ Y7 @ Y6))))))) | (~ (Y0 @ Y2 @ Y3))) | ((~ (Y2 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y7)) | (Y6 @ Y9 @ Y8)) | (~ (Y6 @ Y7 @ Y8))))))))))) | (Y6 @ Y2 @ Y1))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8))))))) | (Y7 @ Y3 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (~ (Y7 @ Y8 @ Y10))) | (Y7 @ Y8 @ Y9))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y1 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (Y7 @ Y10 @ Y8)) | (~ (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 @ Y1 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y7 @ Y8)) | (Y5 @ Y6 @ Y8)) | (~ (Y5 @ Y6 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (Y3 = Y1)) | (Y4 @ Y3 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y8 @ Y7)) | (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y6 @ Y8))))))))))))))))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2))))))))) = subrel)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y1 = Y2))))))) = rc)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = symm)) & (nfof = (^[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 @ Y4)) | (~ (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))) | (Y3 @ Y2 @ Y1)))) | (Y1 = Y2)) & (!! @ $i @ (^[Y3 : $i]: (~ (Y0 @ Y1 @ Y3)))))))))))) & (!! @ d_unsorted @ (^[Y0 : d_unsorted]: (!! @ d_unsorted @ (^[Y1 : d_unsorted]: (((d2unsorted @ Y1) = (d2unsorted @ Y0)) => (Y1 = Y0))))))) & (ind = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $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 @ Y6 @ Y8))) | (~ (Y5 @ Y8 @ Y7))))))))))) | (Y5 @ Y3 @ Y4))))))))) | (Y2 @ Y3))))))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y1) | (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = total)) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((Y0 @ (Y0 @ Y1)) = (Y0 @ Y1))))) = idem)) & (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y0 @ Y4 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y3 @ Y5 @ Y6)) | (Y4 @ Y5 @ Y6)))))))) | (~ (Y0 @ Y3 @ Y1 @ Y2)))))))))))))) & (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (Y2 = Y1)) | (~ (Y0 @ Y1 @ Y2)))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y1 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y4)) | (~ (Y0 @ Y3 @ Y4)))))))))))))))) = term)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y5 @ Y6) | (~ (Y0 @ Y5 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (Y4 @ Y5 @ Y6)) | (~ (Y4 @ Y5 @ Y7)))))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (~ (Y0 @ Y3 @ Y4))))))))))))))) = norm)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) = refl)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y3)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y3 @ Y2)))))))))) = trans)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((((((((((Y3 @ Y1 @ Y5) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y8 @ Y6)) | (~ (Y2 @ Y7 @ Y8))) | (Y2 @ Y7 @ Y6)))))))))) | (Y5 = Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y5 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y8 @ Y10) | (~ (Y7 @ Y9 @ Y10))) | (~ (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y8 @ Y9)) | (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y10 @ Y9) | (~ (Y7 @ Y10 @ Y8))) | (~ (Y7 @ Y8 @ Y9)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))) | (Y7 @ Y1 @ Y6)))))))))) | (Y2 @ Y5 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y2 @ Y6 @ Y7)))))))) | (~ (Y0 @ Y4 @ Y5))) | (~ (Y0 @ Y4 @ Y1))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y3 @ Y8 @ Y7) | (~ (Y3 @ Y6 @ Y7))) | (~ (Y3 @ Y8 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y3 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6)))))))))))))))))))) = lconfl)) & (po = (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y1 @ Y3))) | (~ (Y0 @ Y3 @ Y2))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y1 @ Y2))) | (Y2 = Y1))))))) & (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))))))) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y3 @ Y2))))))))) = infl)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) = inv)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y5))) | (Y4 @ Y7 @ Y5))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y5)) | (~ (Y4 @ Y6 @ Y7))) | (Y4 @ Y6 @ Y5)))))))))))))))) & (~ (Y1 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y6)) | (Y3 @ Y4 @ Y5)) | (~ (Y3 @ Y6 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y2 @ Y1)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y5) | (~ (Y3 @ Y6 @ Y5))) | (~ (Y3 @ Y4 @ Y6)))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))))))))))))) = join)) & (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1)))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (~ (Y0 @ Y1 @ Y2))))))) = innf)) & (trsc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y5)) | (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y6 @ Y4))))))))))) | (Y3 @ Y1 @ Y2)))) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y4 @ Y5))) | (Y3 @ Y6 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (Y3 @ Y2 @ Y1))))) | (Y1 = Y2))))))))) & ((^[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 @ Y6 @ Y4)) | (Y3 @ Y5 @ Y4)) | (~ (Y3 @ Y5 @ Y6))))))))))) | (Y3 @ Y1 @ Y2)))))))))) = trc)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2))))))) = sc)) & ((^[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 @ Y4)) | (~ (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (Y3 @ Y1 @ Y2))))))))) = tc)) & (!! @ $i @ (^[Y0 : $i]: (?? @ d_unsorted @ (^[Y1 : d_unsorted]: ((d2unsorted @ Y1) = Y0)))))) & ((^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y1 @ Y3))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y1 @ Y2))))))))) = so)) & (irrefl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1 @ Y1))))))) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (((((((((Y4 = Y1) | (Y3 @ Y4 @ Y1)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y4 @ Y5) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y8 @ Y7) | (~ (Y0 @ Y8 @ Y7))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y7 @ Y8)) | (~ (Y6 @ Y8 @ Y9))) | (Y6 @ Y7 @ Y9))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y7 @ Y8)) | (Y6 @ Y7 @ Y8))))))) | (Y6 @ Y1 @ Y5)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y9 @ Y7) | (~ (Y6 @ Y8 @ Y7))) | (~ (Y6 @ Y9 @ Y8))))))))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y3 @ Y5 @ Y7)) | (~ (Y3 @ Y6 @ Y5))) | (Y3 @ Y6 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y2 @ Y5 @ Y7) | (~ (Y2 @ Y6 @ Y7))) | (~ (Y2 @ Y5 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y5 @ Y6)) | (Y2 @ Y5 @ Y6)))))))) | (Y2 @ Y1 @ Y4)) | (((~ (Y4 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y4 @ Y1) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y5 @ Y8 @ Y7) | (~ (Y5 @ Y8 @ Y6))) | (~ (Y5 @ Y6 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))))))) & (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y1 @ Y4) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y5 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y6 @ Y8)) | (~ (Y5 @ Y7 @ Y6))) | (Y5 @ Y7 @ Y8))))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5)))))))))))))))))) = cr)) & (!! @ d_unsorted @ (^[Y0 : d_unsorted]: (d_unsorted_0 = Y0)))) & ((^[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 : $i]: ((((((((((Y1 @ Y3 @ Y5) | (Y5 = Y3)) | ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y4 @ Y3) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7)))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y7)) | (Y6 @ Y8 @ Y7)) | (~ (Y6 @ Y8 @ Y9)))))))))))))) & (~ (Y4 = Y3)))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y8 @ Y9)) | (~ (Y7 @ Y9 @ Y10))) | (Y7 @ Y8 @ Y10))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8))))))))) | (Y7 @ Y5 @ Y6))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8)))))))) | (Y7 @ Y3 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (Y7 @ Y8 @ Y9)) | (~ (Y7 @ Y8 @ Y10))))))))))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y2 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y1 @ Y6 @ Y7)))))))) | (Y2 @ Y5 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y1 @ Y6 @ Y8)) | (Y1 @ Y7 @ Y8)) | (~ (Y1 @ Y7 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y7 @ Y8)) | (Y2 @ Y6 @ Y8)) | (~ (Y2 @ Y6 @ Y7))))))))))) | ((~ (Y5 = Y4)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y7 @ Y8)) | (~ (Y6 @ Y8 @ Y9))) | (Y6 @ Y7 @ Y9))))))))) | (Y6 @ Y4 @ Y5)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7)))))))))))))))))))))))) = confl)))), 291.92/42.21 inference(fool_elimination,[status(thm)],[f7])). 291.92/42.21 thf(f7,plain,( 291.92/42.21 ((^[X0 : $i > $i > $o] : (! [X1 : $i,X2 : $i,X3 : $i,X4 : $i > $i > $o,X5 : $i > $i > $o] : ((~! [X6 : $i > $i > $o] : (~! [X7 : $i,X8 : $i] : ((X6 @ X7 @ X8) | ~(X0 @ X7 @ X8)) | (X6 @ X2 @ X1) | ~! [X9 : $i,X10 : $i,X11 : $i] : ((X6 @ X11 @ X9) | ~(X6 @ X10 @ X9) | ~(X6 @ X11 @ X10))) & (X1 != X2)) | ~! [X12 : $i,X13 : $i,X14 : $i] : (~(X4 @ X14 @ X13) | (X4 @ X14 @ X12) | ~(X4 @ X13 @ X12)) | ~! [X15 : $i,X16 : $i,X17 : $i] : (~(X5 @ X16 @ X17) | (X5 @ X16 @ X15) | ~(X5 @ X17 @ X15)) | (X4 @ X1 @ X3) | ~! [X18 : $i,X19 : $i] : ((X5 @ X19 @ X18) | ~(X0 @ X19 @ X18)) | ~! [X20 : $i,X21 : $i] : (~(X0 @ X20 @ X21) | (X4 @ X20 @ X21)) | ~! [X22 : $i] : (~! [X23 : $i > $i > $o] : (~! [X24 : $i,X25 : $i,X26 : $i] : (~(X23 @ X26 @ X24) | (X23 @ X26 @ X25) | ~(X23 @ X24 @ X25)) | (X23 @ X3 @ X22) | ~! [X27 : $i,X28 : $i] : (~(X0 @ X27 @ X28) | (X23 @ X27 @ X28))) | ~! [X29 : $i > $i > $o] : ((X29 @ X1 @ X22) | ~! [X30 : $i,X31 : $i] : (~(X0 @ X30 @ X31) | (X29 @ X30 @ X31)) | ~! [X32 : $i,X33 : $i,X34 : $i] : ((X29 @ X34 @ X32) | ~(X29 @ X33 @ X32) | ~(X29 @ X34 @ X33)))) | ((X2 != X3) & ~! [X35 : $i > $i > $o] : (~! [X36 : $i,X37 : $i,X38 : $i] : (~(X35 @ X37 @ X36) | (X35 @ X37 @ X38) | ~(X35 @ X36 @ X38)) | ~! [X39 : $i,X40 : $i] : ((X35 @ X39 @ X40) | ~(X0 @ X39 @ X40)) | (X35 @ X2 @ X3))) | (X1 = X3) | (X5 @ X3 @ X1)))) = confl) & ! [X41 : d_unsorted] : (d_unsorted_0 = X41) & ((^[X42 : $i > $i > $o] : (! [X43 : $i,X44 : $i > $i > $o,X45 : $i > $i > $o,X46 : $i] : (~! [X47 : $i,X48 : $i] : (~(X42 @ X47 @ X48) | (X44 @ X47 @ X48)) | (~! [X49 : $i > $i > $o] : (~! [X50 : $i,X51 : $i,X52 : $i] : ((X49 @ X51 @ X50) | ~(X49 @ X51 @ X52) | ~(X49 @ X52 @ X50)) | ~! [X53 : $i,X54 : $i] : ((X49 @ X54 @ X53) | ~(X42 @ X54 @ X53)) | (X49 @ X46 @ X43)) & ~! [X55 : $i > $i > $o] : (~! [X56 : $i,X57 : $i] : (~(X42 @ X56 @ X57) | (X55 @ X56 @ X57)) | ~! [X58 : $i,X59 : $i,X60 : $i] : (~(X55 @ X60 @ X59) | ~(X55 @ X58 @ X60) | (X55 @ X58 @ X59)) | (X55 @ X43 @ X46)) & (X43 != X46)) | (X45 @ X46 @ X43) | ~! [X61 : $i,X62 : $i] : ((X45 @ X62 @ X61) | ~(X42 @ X62 @ X61)) | ~! [X63 : $i,X64 : $i,X65 : $i] : (~(X45 @ X65 @ X64) | ~(X45 @ X64 @ X63) | (X45 @ X65 @ X63)) | ~! [X66 : $i,X67 : $i,X68 : $i] : ((X44 @ X67 @ X66) | ~(X44 @ X67 @ X68) | ~(X44 @ X68 @ X66)) | ~! [X69 : $i] : (~! [X70 : $i > $i > $o] : (~! [X71 : $i,X72 : $i,X73 : $i] : (~(X70 @ X71 @ X72) | ~(X70 @ X72 @ X73) | (X70 @ X71 @ X73)) | (X70 @ X46 @ X69) | ~! [X74 : $i,X75 : $i] : ((X70 @ X75 @ X74) | ~(X42 @ X75 @ X74))) | ~! [X76 : $i > $i > $o] : (~! [X77 : $i,X78 : $i,X79 : $i] : ((X76 @ X79 @ X77) | ~(X76 @ X78 @ X77) | ~(X76 @ X79 @ X78)) | ~! [X80 : $i,X81 : $i] : (~(X42 @ X80 @ X81) | (X76 @ X80 @ X81)) | (X76 @ X43 @ X69))) | (X44 @ X43 @ X46) | (X43 = X46)))) = cr) & (irrefl = (^[X82 : $i > $i > $o] : (! [X83 : $i] : ~(X82 @ X83 @ X83)))) & ((^[X84 : $i > $i > $o] : (! [X85 : $i,X86 : $i] : (~(X84 @ X86 @ X85) | ~(X84 @ X85 @ X86)) & ! [X87 : $i,X88 : $i,X89 : $i] : (~(X84 @ X89 @ X87) | (X84 @ X89 @ X88) | ~(X84 @ X87 @ X88)))) = so) & ! [X90 : $i] : ? [X91 : d_unsorted] : ((d2unsorted @ X91) = X90) & ((^[X92 : $i > $i > $o, X93 : $i, X94 : $i] : (! [X95 : $i > $i > $o] : ((X95 @ X93 @ X94) | ~! [X96 : $i,X97 : $i] : ((X95 @ X96 @ X97) | ~(X92 @ X96 @ X97)) | ~! [X98 : $i,X99 : $i,X100 : $i] : (~(X95 @ X99 @ X98) | (X95 @ X99 @ X100) | ~(X95 @ X98 @ X100))))) = tc) & ((^[X101 : $i > $i > $o, X102 : $i, X103 : $i] : ((X101 @ X102 @ X103) | (X101 @ X103 @ X102))) = sc) & ((^[X104 : $i > $i > $o, X105 : $i, X106 : $i] : (! [X107 : $i > $i > $o] : ((X107 @ X105 @ X106) | ~! [X108 : $i,X109 : $i,X110 : $i] : (~(X107 @ X109 @ X108) | (X107 @ X109 @ X110) | ~(X107 @ X108 @ X110)) | ~! [X111 : $i,X112 : $i] : ((X107 @ X112 @ X111) | ~(X104 @ X112 @ X111))) | (X105 = X106))) = trc) & (trsc = (^[X113 : $i > $i > $o, X114 : $i, X115 : $i] : ((X114 = X115) | ! [X116 : $i > $i > $o] : ((X116 @ X115 @ X114) | ~! [X117 : $i,X118 : $i] : ((X116 @ X117 @ X118) | ~(X113 @ X117 @ X118)) | ~! [X119 : $i,X120 : $i,X121 : $i] : ((X116 @ X119 @ X120) | ~(X116 @ X121 @ X120) | ~(X116 @ X119 @ X121))) | ! [X122 : $i > $i > $o] : ((X122 @ X114 @ X115) | ~! [X123 : $i,X124 : $i,X125 : $i] : (~(X122 @ X123 @ X125) | (X122 @ X123 @ X124) | ~(X122 @ X125 @ X124)) | ~! [X126 : $i,X127 : $i] : (~(X113 @ X127 @ X126) | (X122 @ X127 @ X126)))))) & ((^[X128 : $i > $i > $o, X129 : $i] : (! [X130 : $i] : ~(X128 @ X129 @ X130))) = innf) & (asymm = (^[X131 : $i > $i > $o] : (! [X132 : $i,X133 : $i] : (~(X131 @ X132 @ X133) | ~(X131 @ X133 @ X132))))) & ((^[X134 : $i > $i > $o, X135 : $i, X136 : $i] : (~(~! [X137 : $i > $i > $o] : (~! [X138 : $i,X139 : $i] : (~(X134 @ X139 @ X138) | (X137 @ X139 @ X138)) | (X137 @ X135 @ X136) | ~! [X140 : $i,X141 : $i,X142 : $i] : (~(X137 @ X142 @ X140) | ~(X137 @ X140 @ X141) | (X137 @ X142 @ X141))) & ~! [X143 : $i > $i > $o] : ((X143 @ X136 @ X135) | ~! [X144 : $i,X145 : $i] : ((X143 @ X145 @ X144) | ~(X134 @ X145 @ X144)) | ~! [X146 : $i,X147 : $i,X148 : $i] : (~(X143 @ X146 @ X147) | (X143 @ X148 @ X147) | ~(X143 @ X148 @ X146))) & (X135 != X136) & ! [X149 : $i] : (~! [X150 : $i > $i > $o] : (~! [X151 : $i,X152 : $i,X153 : $i] : ((X150 @ X152 @ X153) | ~(X150 @ X152 @ X151) | ~(X150 @ X151 @ X153)) | ~! [X154 : $i,X155 : $i] : ((X150 @ X154 @ X155) | ~(X134 @ X154 @ X155)) | (X150 @ X136 @ X149)) | ~! [X156 : $i > $i > $o] : (~! [X157 : $i,X158 : $i,X159 : $i] : ((X156 @ X157 @ X159) | ~(X156 @ X158 @ X159) | ~(X156 @ X157 @ X158)) | ~! [X160 : $i,X161 : $i] : ((X156 @ X160 @ X161) | ~(X134 @ X160 @ X161)) | (X156 @ X135 @ X149)))))) = join) & ((^[X162 : $i > $i > $o, X163 : $i, X164 : $i] : (X162 @ X164 @ X163)) = inv) & ((^[X165 : ($i > $i > $o) > $i > $i > $o] : (! [X166 : $i,X167 : $i,X168 : $i > $i > $o] : ((X165 @ X168 @ X166 @ X167) | ~(X168 @ X166 @ X167)))) = infl) & (po = (^[X169 : $i > $i > $o] : (! [X170 : $i] : (X169 @ X170 @ X170) & ! [X171 : $i,X172 : $i] : ((X171 = X172) | ~(X169 @ X172 @ X171) | ~(X169 @ X171 @ X172)) & ! [X173 : $i,X174 : $i,X175 : $i] : (~(X169 @ X173 @ X174) | ~(X169 @ X175 @ X173) | (X169 @ X175 @ X174))))) & ((^[X176 : $i > $i > $o] : (! [X177 : $i,X178 : $i,X179 : $i > $i > $o,X180 : $i > $i > $o,X181 : $i] : (~! [X182 : $i,X183 : $i] : (~(X176 @ X182 @ X183) | (X179 @ X182 @ X183)) | ~! [X184 : $i,X185 : $i,X186 : $i] : (~(X179 @ X184 @ X186) | ~(X179 @ X186 @ X185) | (X179 @ X184 @ X185)) | ~(X176 @ X178 @ X181) | ~(X176 @ X178 @ X177) | ~! [X187 : $i,X188 : $i] : ((X180 @ X188 @ X187) | ~(X176 @ X188 @ X187)) | (X180 @ X177 @ X181) | ~! [X189 : $i] : (~! [X190 : $i > $i > $o] : ((X190 @ X181 @ X189) | ~! [X191 : $i,X192 : $i] : ((X190 @ X191 @ X192) | ~(X176 @ X191 @ X192)) | ~! [X193 : $i,X194 : $i,X195 : $i] : (~(X190 @ X195 @ X194) | ~(X190 @ X193 @ X195) | (X190 @ X193 @ X194))) | ~! [X196 : $i > $i > $o] : (~! [X197 : $i,X198 : $i] : ((X196 @ X198 @ X197) | ~(X176 @ X198 @ X197)) | ~! [X199 : $i,X200 : $i,X201 : $i] : (~(X196 @ X201 @ X200) | ~(X196 @ X200 @ X199) | (X196 @ X201 @ X199)) | (X196 @ X177 @ X189))) | (X177 = X181) | ~! [X202 : $i,X203 : $i,X204 : $i] : ((X180 @ X203 @ X204) | ~(X180 @ X203 @ X202) | ~(X180 @ X202 @ X204)) | (X179 @ X181 @ X177)))) = lconfl) & ((^[X205 : $i > $i > $o] : (! [X206 : $i,X207 : $i,X208 : $i] : (~(X205 @ X206 @ X207) | (X205 @ X208 @ X207) | ~(X205 @ X208 @ X206)))) = trans) & ((^[X209 : $i > $i > $o] : (! [X210 : $i] : (X209 @ X210 @ X210))) = refl) & ((^[X211 : $i > $i > $o] : (! [X212 : $i,X213 : $i] : (~! [X214 : $i] : (~! [X215 : $i] : ~(X211 @ X214 @ X215) | ~! [X216 : $i > $i > $o] : (~! [X217 : $i,X218 : $i,X219 : $i] : (~(X216 @ X219 @ X217) | (X216 @ X219 @ X218) | ~(X216 @ X217 @ X218)) | ~! [X220 : $i,X221 : $i] : (~(X211 @ X221 @ X220) | (X216 @ X221 @ X220)) | (X216 @ X212 @ X214))) | ~(X211 @ X212 @ X213)))) = norm) & ((^[X222 : $i > $i > $o] : (! [X223 : $i,X224 : $i > $o] : (~! [X225 : $i] : (~! [X226 : $i] : (~(X222 @ X225 @ X226) | ~(X224 @ X226)) | ~(X224 @ X225)) | ~(X224 @ X223)))) = term) & (antisymm = (^[X227 : $i > $i > $o] : (! [X228 : $i,X229 : $i] : (~(X227 @ X229 @ X228) | (X228 = X229) | ~(X227 @ X228 @ X229))))) & (mono = (^[X230 : ($i > $i > $o) > $i > $i > $o] : (! [X231 : $i > $i > $o,X232 : $i > $i > $o,X233 : $i,X234 : $i] : (~(X230 @ X232 @ X234 @ X233) | ~! [X235 : $i,X236 : $i] : ((X231 @ X236 @ X235) | ~(X232 @ X236 @ X235)) | (X230 @ X231 @ X234 @ X233))))) & ((^[X237 : ($i > $i > $o) > $i > $i > $o] : (! [X238 : $i > $i > $o] : ((X237 @ (X237 @ X238)) = (X237 @ X238)))) = idem) & ((^[X239 : $i > $i > $o] : (! [X240 : $i,X241 : $i] : ((X239 @ X241 @ X240) | (X239 @ X240 @ X241) | (X240 = X241)))) = total) & (ind = (^[X242 : $i > $i > $o] : (! [X243 : $i > $o,X244 : $i] : (~! [X245 : $i] : ((X243 @ X245) | ~! [X246 : $i] : (~! [X247 : $i > $i > $o] : ((X247 @ X245 @ X246) | ~! [X248 : $i,X249 : $i,X250 : $i] : (~(X247 @ X248 @ X249) | ~(X247 @ X250 @ X248) | (X247 @ X250 @ X249)) | ~! [X251 : $i,X252 : $i] : (~(X242 @ X252 @ X251) | (X247 @ X252 @ X251))) | (X243 @ X246))) | (X243 @ X244))))) & ! [X253 : d_unsorted,X254 : d_unsorted] : (((d2unsorted @ X253) = (d2unsorted @ X254)) => (X253 = X254)) & (nfof = (^[X255 : $i > $i > $o, X256 : $i, X257 : $i] : (! [X258 : $i] : ~(X255 @ X256 @ X258) & ((X256 = X257) | ! [X259 : $i > $i > $o] : ((X259 @ X257 @ X256) | ~! [X260 : $i,X261 : $i] : (~(X255 @ X260 @ X261) | (X259 @ X260 @ X261)) | ~! [X262 : $i,X263 : $i,X264 : $i] : (~(X259 @ X263 @ X262) | (X259 @ X263 @ X264) | ~(X259 @ X262 @ X264))))))) & ((^[X265 : $i > $i > $o] : (! [X266 : $i,X267 : $i] : ((X265 @ X267 @ X266) | ~(X265 @ X266 @ X267)))) = symm) & ((^[X268 : $i > $i > $o, X269 : $i, X270 : $i] : ((X269 = X270) | (X268 @ X269 @ X270))) = rc) & ((^[X271 : $i > $i > $o, X272 : $i > $i > $o] : (! [X273 : $i,X274 : $i] : ((X272 @ X273 @ X274) | ~(X271 @ X273 @ X274)))) = subrel) & (sconfl = (^[X275 : $i > $i > $o] : (! [X276 : $i > $i > $o,X277 : $i > $i > $o,X278 : $i,X279 : $i,X280 : $i] : (~! [X281 : $i,X282 : $i,X283 : $i] : (~(X277 @ X283 @ X281) | (X277 @ X283 @ X282) | ~(X277 @ X281 @ X282)) | (X277 @ X278 @ X280) | (X278 = X280) | ~! [X284 : $i,X285 : $i] : (~(X275 @ X284 @ X285) | (X276 @ X284 @ X285)) | ~! [X286 : $i,X287 : $i,X288 : $i] : (~(X276 @ X288 @ X287) | (X276 @ X288 @ X286) | ~(X276 @ X287 @ X286)) | (X276 @ X280 @ X278) | ~! [X289 : $i] : (~! [X290 : $i > $i > $o] : (~! [X291 : $i,X292 : $i] : ((X290 @ X291 @ X292) | ~(X275 @ X291 @ X292)) | ~! [X293 : $i,X294 : $i,X295 : $i] : (~(X290 @ X294 @ X295) | (X290 @ X293 @ X295) | ~(X290 @ X293 @ X294)) | (X290 @ X280 @ X289)) | ~! [X296 : $i > $i > $o] : (~! [X297 : $i,X298 : $i,X299 : $i] : ((X296 @ X299 @ X298) | ~(X296 @ X299 @ X297) | ~(X296 @ X297 @ X298)) | (X296 @ X278 @ X289) | ~! [X300 : $i,X301 : $i] : ((X296 @ X300 @ X301) | ~(X275 @ X300 @ X301)))) | (~! [X302 : $i > $i > $o] : ((X302 @ X279 @ X280) | ~! [X303 : $i,X304 : $i,X305 : $i] : (~(X302 @ X305 @ X304) | (X302 @ X303 @ X304) | ~(X302 @ X303 @ X305)) | ~! [X306 : $i,X307 : $i] : ((X302 @ X306 @ X307) | ~(X275 @ X306 @ X307))) & (X279 != X280)) | ~(X275 @ X279 @ X278) | ~! [X308 : $i,X309 : $i] : ((X277 @ X308 @ X309) | ~(X275 @ X308 @ X309))))))), 291.92/42.21 inference(rectify,[status(thm)],[f3])). 291.92/42.21 thf(f3,axiom,( 291.92/42.21 ((^[X0 : $i > $i > $o] : (! [X3 : $i,X1 : $i,X2 : $i,X23 : $i > $i > $o,X22 : $i > $i > $o] : ((~! [X4 : $i > $i > $o] : (~! [X8 : $i,X9 : $i] : ((X4 @ X8 @ X9) | ~(X0 @ X8 @ X9)) | (X4 @ X1 @ X3) | ~! [X20 : $i,X11 : $i,X10 : $i] : ((X4 @ X10 @ X20) | ~(X4 @ X11 @ X20) | ~(X4 @ X10 @ X11))) & (X1 != X3)) | ~! [X20 : $i,X11 : $i,X10 : $i] : (~(X23 @ X10 @ X11) | (X23 @ X10 @ X20) | ~(X23 @ X11 @ X20)) | ~! [X19 : $i,X10 : $i,X11 : $i] : (~(X22 @ X10 @ X11) | (X22 @ X10 @ X19) | ~(X22 @ X11 @ X19)) | (X23 @ X3 @ X2) | ~! [X9 : $i,X8 : $i] : ((X22 @ X8 @ X9) | ~(X0 @ X8 @ X9)) | ~! [X8 : $i,X9 : $i] : (~(X0 @ X8 @ X9) | (X23 @ X8 @ X9)) | ~! [X21 : $i] : (~! [X4 : $i > $i > $o] : (~! [X11 : $i,X19 : $i,X10 : $i] : (~(X4 @ X10 @ X11) | (X4 @ X10 @ X19) | ~(X4 @ X11 @ X19)) | (X4 @ X2 @ X21) | ~! [X8 : $i,X9 : $i] : (~(X0 @ X8 @ X9) | (X4 @ X8 @ X9))) | ~! [X4 : $i > $i > $o] : ((X4 @ X3 @ X21) | ~! [X8 : $i,X9 : $i] : (~(X0 @ X8 @ X9) | (X4 @ X8 @ X9)) | ~! [X20 : $i,X11 : $i,X10 : $i] : ((X4 @ X10 @ X20) | ~(X4 @ X11 @ X20) | ~(X4 @ X10 @ X11)))) | ((X1 != X2) & ~! [X4 : $i > $i > $o] : (~! [X11 : $i,X10 : $i,X24 : $i] : (~(X4 @ X10 @ X11) | (X4 @ X10 @ X24) | ~(X4 @ X11 @ X24)) | ~! [X8 : $i,X9 : $i] : ((X4 @ X8 @ X9) | ~(X0 @ X8 @ X9)) | (X4 @ X1 @ X2))) | (X2 = X3) | (X22 @ X2 @ X3)))) = confl) & ! [X36 : d_unsorted] : (d_unsorted_0 = X36) & ((^[X0 : $i > $i > $o] : (! [X1 : $i,X18 : $i > $i > $o,X17 : $i > $i > $o,X2 : $i] : (~! [X8 : $i,X9 : $i] : (~(X0 @ X8 @ X9) | (X18 @ X8 @ X9)) | (~! [X4 : $i > $i > $o] : (~! [X3 : $i,X10 : $i,X11 : $i] : ((X4 @ X10 @ X3) | ~(X4 @ X10 @ X11) | ~(X4 @ X11 @ X3)) | ~! [X9 : $i,X8 : $i] : ((X4 @ X8 @ X9) | ~(X0 @ X8 @ X9)) | (X4 @ X2 @ X1)) & ~! [X4 : $i > $i > $o] : (~! [X8 : $i,X9 : $i] : (~(X0 @ X8 @ X9) | (X4 @ X8 @ X9)) | ~! [X10 : $i,X3 : $i,X11 : $i] : (~(X4 @ X11 @ X3) | ~(X4 @ X10 @ X11) | (X4 @ X10 @ X3)) | (X4 @ X1 @ X2)) & (X1 != X2)) | (X17 @ X2 @ X1) | ~! [X9 : $i,X8 : $i] : ((X17 @ X8 @ X9) | ~(X0 @ X8 @ X9)) | ~! [X19 : $i,X11 : $i,X10 : $i] : (~(X17 @ X10 @ X11) | ~(X17 @ X11 @ X19) | (X17 @ X10 @ X19)) | ~! [X20 : $i,X10 : $i,X11 : $i] : ((X18 @ X10 @ X20) | ~(X18 @ X10 @ X11) | ~(X18 @ X11 @ X20)) | ~! [X21 : $i] : (~! [X4 : $i > $i > $o] : (~! [X10 : $i,X11 : $i,X19 : $i] : (~(X4 @ X10 @ X11) | ~(X4 @ X11 @ X19) | (X4 @ X10 @ X19)) | (X4 @ X2 @ X21) | ~! [X9 : $i,X8 : $i] : ((X4 @ X8 @ X9) | ~(X0 @ X8 @ X9))) | ~! [X4 : $i > $i > $o] : (~! [X20 : $i,X11 : $i,X10 : $i] : ((X4 @ X10 @ X20) | ~(X4 @ X11 @ X20) | ~(X4 @ X10 @ X11)) | ~! [X8 : $i,X9 : $i] : (~(X0 @ X8 @ X9) | (X4 @ X8 @ X9)) | (X4 @ X1 @ X21))) | (X18 @ X1 @ X2) | (X1 = X2)))) = cr) & (irrefl = (^[X0 : $i > $i > $o] : (! [X1 : $i] : ~(X0 @ X1 @ X1)))) & ((^[X0 : $i > $i > $o] : (! [X1 : $i,X2 : $i] : (~(X0 @ X2 @ X1) | ~(X0 @ X1 @ X2)) & ! [X2 : $i,X3 : $i,X1 : $i] : (~(X0 @ X1 @ X2) | (X0 @ X1 @ X3) | ~(X0 @ X2 @ X3)))) = so) & ! [X37 : $i] : ? [X36 : d_unsorted] : ((d2unsorted @ X36) = X37) & ((^[X0 : $i > $i > $o, X1 : $i, X2 : $i] : (! [X4 : $i > $i > $o] : ((X4 @ X1 @ X2) | ~! [X8 : $i,X9 : $i] : ((X4 @ X8 @ X9) | ~(X0 @ X8 @ X9)) | ~! [X11 : $i,X10 : $i,X3 : $i] : (~(X4 @ X10 @ X11) | (X4 @ X10 @ X3) | ~(X4 @ X11 @ X3))))) = tc) & ((^[X0 : $i > $i > $o, X1 : $i, X2 : $i] : ((X0 @ X1 @ X2) | (X0 @ X2 @ X1))) = sc) & ((^[X0 : $i > $i > $o, X6 : $i, X7 : $i] : (! [X4 : $i > $i > $o] : ((X4 @ X6 @ X7) | ~! [X11 : $i,X10 : $i,X3 : $i] : (~(X4 @ X10 @ X11) | (X4 @ X10 @ X3) | ~(X4 @ X11 @ X3)) | ~! [X9 : $i,X8 : $i] : ((X4 @ X8 @ X9) | ~(X0 @ X8 @ X9))) | (X6 = X7))) = trc) & (trsc = (^[X0 : $i > $i > $o, X6 : $i, X7 : $i] : ((X6 = X7) | ! [X4 : $i > $i > $o] : ((X4 @ X7 @ X6) | ~! [X8 : $i,X9 : $i] : ((X4 @ X8 @ X9) | ~(X0 @ X8 @ X9)) | ~! [X10 : $i,X3 : $i,X11 : $i] : ((X4 @ X10 @ X3) | ~(X4 @ X11 @ X3) | ~(X4 @ X10 @ X11))) | ! [X4 : $i > $i > $o] : ((X4 @ X6 @ X7) | ~! [X10 : $i,X3 : $i,X11 : $i] : (~(X4 @ X10 @ X11) | (X4 @ X10 @ X3) | ~(X4 @ X11 @ X3)) | ~! [X9 : $i,X8 : $i] : (~(X0 @ X8 @ X9) | (X4 @ X8 @ X9)))))) & ((^[X0 : $i > $i > $o, X1 : $i] : (! [X2 : $i] : ~(X0 @ X1 @ X2))) = innf) & (asymm = (^[X0 : $i > $i > $o] : (! [X2 : $i,X1 : $i] : (~(X0 @ X2 @ X1) | ~(X0 @ X1 @ X2))))) & ((^[X0 : $i > $i > $o, X1 : $i, X2 : $i] : (~(~! [X4 : $i > $i > $o] : (~! [X9 : $i,X8 : $i] : (~(X0 @ X8 @ X9) | (X4 @ X8 @ X9)) | (X4 @ X1 @ X2) | ~! [X11 : $i,X20 : $i,X10 : $i] : (~(X4 @ X10 @ X11) | ~(X4 @ X11 @ X20) | (X4 @ X10 @ X20))) & ~! [X4 : $i > $i > $o] : ((X4 @ X2 @ X1) | ~! [X9 : $i,X8 : $i] : ((X4 @ X8 @ X9) | ~(X0 @ X8 @ X9)) | ~! [X11 : $i,X19 : $i,X10 : $i] : (~(X4 @ X11 @ X19) | (X4 @ X10 @ X19) | ~(X4 @ X10 @ X11))) & (X1 != X2) & ! [X21 : $i] : (~! [X4 : $i > $i > $o] : (~! [X11 : $i,X10 : $i,X19 : $i] : ((X4 @ X10 @ X19) | ~(X4 @ X10 @ X11) | ~(X4 @ X11 @ X19)) | ~! [X8 : $i,X9 : $i] : ((X4 @ X8 @ X9) | ~(X0 @ X8 @ X9)) | (X4 @ X2 @ X21)) | ~! [X4 : $i > $i > $o] : (~! [X10 : $i,X11 : $i,X20 : $i] : ((X4 @ X10 @ X20) | ~(X4 @ X11 @ X20) | ~(X4 @ X10 @ X11)) | ~! [X8 : $i,X9 : $i] : ((X4 @ X8 @ X9) | ~(X0 @ X8 @ X9)) | (X4 @ X1 @ X21)))))) = join) & ((^[X0 : $i > $i > $o, X1 : $i, X2 : $i] : (X0 @ X2 @ X1)) = inv) & ((^[X5 : ($i > $i > $o) > $i > $i > $o] : (! [X1 : $i,X2 : $i,X0 : $i > $i > $o] : ((X5 @ X0 @ X1 @ X2) | ~(X0 @ X1 @ X2)))) = infl) & (po = (^[X0 : $i > $i > $o] : (! [X1 : $i] : (X0 @ X1 @ X1) & ! [X1 : $i,X2 : $i] : ((X1 = X2) | ~(X0 @ X2 @ X1) | ~(X0 @ X1 @ X2)) & ! [X2 : $i,X3 : $i,X1 : $i] : (~(X0 @ X2 @ X3) | ~(X0 @ X1 @ X2) | (X0 @ X1 @ X3))))) & ((^[X0 : $i > $i > $o] : (! [X2 : $i,X1 : $i,X29 : $i > $i > $o,X28 : $i > $i > $o,X3 : $i] : (~! [X8 : $i,X9 : $i] : (~(X0 @ X8 @ X9) | (X29 @ X8 @ X9)) | ~! [X10 : $i,X20 : $i,X11 : $i] : (~(X29 @ X10 @ X11) | ~(X29 @ X11 @ X20) | (X29 @ X10 @ X20)) | ~(X0 @ X1 @ X3) | ~(X0 @ X1 @ X2) | ~! [X9 : $i,X8 : $i] : ((X28 @ X8 @ X9) | ~(X0 @ X8 @ X9)) | (X28 @ X2 @ X3) | ~! [X21 : $i] : (~! [X4 : $i > $i > $o] : ((X4 @ X3 @ X21) | ~! [X8 : $i,X9 : $i] : ((X4 @ X8 @ X9) | ~(X0 @ X8 @ X9)) | ~! [X10 : $i,X20 : $i,X11 : $i] : (~(X4 @ X11 @ X20) | ~(X4 @ X10 @ X11) | (X4 @ X10 @ X20))) | ~! [X4 : $i > $i > $o] : (~! [X9 : $i,X8 : $i] : ((X4 @ X8 @ X9) | ~(X0 @ X8 @ X9)) | ~! [X19 : $i,X11 : $i,X10 : $i] : (~(X4 @ X10 @ X11) | ~(X4 @ X11 @ X19) | (X4 @ X10 @ X19)) | (X4 @ X2 @ X21))) | (X2 = X3) | ~! [X11 : $i,X10 : $i,X19 : $i] : ((X28 @ X10 @ X19) | ~(X28 @ X10 @ X11) | ~(X28 @ X11 @ X19)) | (X29 @ X3 @ X2)))) = lconfl) & ((^[X0 : $i > $i > $o] : (! [X2 : $i,X3 : $i,X1 : $i] : (~(X0 @ X2 @ X3) | (X0 @ X1 @ X3) | ~(X0 @ X1 @ X2)))) = trans) & ((^[X0 : $i > $i > $o] : (! [X1 : $i] : (X0 @ X1 @ X1))) = refl) & ((^[X0 : $i > $i > $o] : (! [X1 : $i,X14 : $i] : (~! [X15 : $i] : (~! [X16 : $i] : ~(X0 @ X15 @ X16) | ~! [X4 : $i > $i > $o] : (~! [X11 : $i,X3 : $i,X10 : $i] : (~(X4 @ X10 @ X11) | (X4 @ X10 @ X3) | ~(X4 @ X11 @ X3)) | ~! [X9 : $i,X8 : $i] : (~(X0 @ X8 @ X9) | (X4 @ X8 @ X9)) | (X4 @ X1 @ X15))) | ~(X0 @ X1 @ X14)))) = norm) & ((^[X0 : $i > $i > $o] : (! [X31 : $i,X30 : $i > $o] : (~! [X1 : $i] : (~! [X2 : $i] : (~(X0 @ X1 @ X2) | ~(X30 @ X2)) | ~(X30 @ X1)) | ~(X30 @ X31)))) = term) & (antisymm = (^[X0 : $i > $i > $o] : (! [X2 : $i,X1 : $i] : (~(X0 @ X1 @ X2) | (X1 = X2) | ~(X0 @ X2 @ X1))))) & (mono = (^[X5 : ($i > $i > $o) > $i > $i > $o] : (! [X4 : $i > $i > $o,X0 : $i > $i > $o,X33 : $i,X32 : $i] : (~(X5 @ X0 @ X32 @ X33) | ~! [X2 : $i,X1 : $i] : ((X4 @ X1 @ X2) | ~(X0 @ X1 @ X2)) | (X5 @ X4 @ X32 @ X33))))) & ((^[X5 : ($i > $i > $o) > $i > $i > $o] : (! [X0 : $i > $i > $o] : ((X5 @ X0) = (X5 @ (X5 @ X0))))) = idem) & ((^[X0 : $i > $i > $o] : (! [X2 : $i,X1 : $i] : ((X0 @ X1 @ X2) | (X0 @ X2 @ X1) | (X1 = X2)))) = total) & (ind = (^[X0 : $i > $i > $o] : (! [X12 : $i > $o,X13 : $i] : (~! [X1 : $i] : ((X12 @ X1) | ~! [X2 : $i] : (~! [X4 : $i > $i > $o] : ((X4 @ X1 @ X2) | ~! [X11 : $i,X3 : $i,X10 : $i] : (~(X4 @ X11 @ X3) | ~(X4 @ X10 @ X11) | (X4 @ X10 @ X3)) | ~! [X9 : $i,X8 : $i] : (~(X0 @ X8 @ X9) | (X4 @ X8 @ X9))) | (X12 @ X2))) | (X12 @ X13))))) & ! [X35 : d_unsorted,X34 : d_unsorted] : (((d2unsorted @ X34) = (d2unsorted @ X35)) => (X34 = X35)) & (nfof = (^[X0 : $i > $i > $o, X1 : $i, X2 : $i] : (! [X16 : $i] : ~(X0 @ X1 @ X16) & ((X1 = X2) | ! [X4 : $i > $i > $o] : ((X4 @ X2 @ X1) | ~! [X8 : $i,X9 : $i] : (~(X0 @ X8 @ X9) | (X4 @ X8 @ X9)) | ~! [X11 : $i,X10 : $i,X3 : $i] : (~(X4 @ X10 @ X11) | (X4 @ X10 @ X3) | ~(X4 @ X11 @ X3))))))) & ((^[X0 : $i > $i > $o] : (! [X1 : $i,X2 : $i] : ((X0 @ X2 @ X1) | ~(X0 @ X1 @ X2)))) = symm) & ((^[X0 : $i > $i > $o, X1 : $i, X2 : $i] : ((X1 = X2) | (X0 @ X1 @ X2))) = rc) & ((^[X0 : $i > $i > $o, X4 : $i > $i > $o] : (! [X1 : $i,X2 : $i] : ((X4 @ X1 @ X2) | ~(X0 @ X1 @ X2)))) = subrel) & (sconfl = (^[X0 : $i > $i > $o] : (! [X25 : $i > $i > $o,X26 : $i > $i > $o,X3 : $i,X1 : $i,X2 : $i] : (~! [X11 : $i,X20 : $i,X10 : $i] : (~(X26 @ X10 @ X11) | (X26 @ X10 @ X20) | ~(X26 @ X11 @ X20)) | (X26 @ X3 @ X2) | (X2 = X3) | ~! [X8 : $i,X9 : $i] : (~(X0 @ X8 @ X9) | (X25 @ X8 @ X9)) | ~! [X19 : $i,X11 : $i,X10 : $i] : (~(X25 @ X10 @ X11) | (X25 @ X10 @ X19) | ~(X25 @ X11 @ X19)) | (X25 @ X2 @ X3) | ~! [X21 : $i] : (~! [X4 : $i > $i > $o] : (~! [X8 : $i,X9 : $i] : ((X4 @ X8 @ X9) | ~(X0 @ X8 @ X9)) | ~! [X10 : $i,X11 : $i,X19 : $i] : (~(X4 @ X11 @ X19) | (X4 @ X10 @ X19) | ~(X4 @ X10 @ X11)) | (X4 @ X2 @ X21)) | ~! [X4 : $i > $i > $o] : (~! [X11 : $i,X20 : $i,X10 : $i] : ((X4 @ X10 @ X20) | ~(X4 @ X10 @ X11) | ~(X4 @ X11 @ X20)) | (X4 @ X3 @ X21) | ~! [X8 : $i,X9 : $i] : ((X4 @ X8 @ X9) | ~(X0 @ X8 @ X9)))) | (~! [X4 : $i > $i > $o] : ((X4 @ X1 @ X2) | ~! [X10 : $i,X27 : $i,X11 : $i] : (~(X4 @ X11 @ X27) | (X4 @ X10 @ X27) | ~(X4 @ X10 @ X11)) | ~! [X8 : $i,X9 : $i] : ((X4 @ X8 @ X9) | ~(X0 @ X8 @ X9))) & (X1 != X2)) | ~(X0 @ X1 @ X3) | ~! [X8 : $i,X9 : $i] : ((X26 @ X8 @ X9) | ~(X0 @ X8 @ X9))))))), 291.92/42.21 file('/export/starexec/sandbox2/tmp/tmp.lW4aQUS7Rw/E---3.1_1324435.p',sev441_1)). 291.92/42.21 thf(f137,plain,( 291.92/42.21 ( ! [X1 : $i] : ((((d2unsorted @ (sK3 @ X1)) = X1) = $true)) )), 291.92/42.21 inference(beta_eta_normalization,[status(thm)],[f136])). 291.92/42.21 thf(f136,plain,( 291.92/42.21 ( ! [X1 : $i] : ((((^[Y0 : d_unsorted]: ((d2unsorted @ Y0) = X1)) @ (sK3 @ X1)) = $true)) )), 291.92/42.21 inference(sigma_clausification,[status(thm)],[f135])). 291.92/42.21 thf(f135,plain,( 291.92/42.21 ( ! [X1 : $i] : (((?? @ d_unsorted @ (^[Y0 : d_unsorted]: ((d2unsorted @ Y0) = X1))) = $true)) )), 291.92/42.21 inference(beta_eta_normalization,[status(thm)],[f134])). 291.92/42.21 thf(f134,plain,( 291.92/42.21 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (?? @ d_unsorted @ (^[Y1 : d_unsorted]: ((d2unsorted @ Y1) = Y0)))) @ X1))) )), 291.92/42.21 inference(pi_clausification,[status(thm)],[f26])). 291.92/42.21 thf(f26,plain,( 291.92/42.21 ((!! @ $i @ (^[Y0 : $i]: (?? @ d_unsorted @ (^[Y1 : d_unsorted]: ((d2unsorted @ Y1) = Y0))))) = $true)), 291.92/42.21 inference(binary_proxy_clausification,[status(thm)],[f24])). 291.92/42.21 thf(f24,plain,( 291.92/42.21 ((((((((((((((((((((((((((((sconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $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 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y4 @ Y7 @ Y6))))))) | (~ (Y0 @ Y2 @ Y3))) | ((~ (Y2 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y7)) | (Y6 @ Y9 @ Y8)) | (~ (Y6 @ Y7 @ Y8))))))))))) | (Y6 @ Y2 @ Y1))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8))))))) | (Y7 @ Y3 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (~ (Y7 @ Y8 @ Y10))) | (Y7 @ Y8 @ Y9))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y1 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (Y7 @ Y10 @ Y8)) | (~ (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 @ Y1 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y7 @ Y8)) | (Y5 @ Y6 @ Y8)) | (~ (Y5 @ Y6 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (Y3 = Y1)) | (Y4 @ Y3 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y8 @ Y7)) | (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y6 @ Y8))))))))))))))))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2))))))))) = subrel)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y1 = Y2))))))) = rc)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = symm)) & (nfof = (^[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 @ Y4)) | (~ (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))) | (Y3 @ Y2 @ Y1)))) | (Y1 = Y2)) & (!! @ $i @ (^[Y3 : $i]: (~ (Y0 @ Y1 @ Y3)))))))))))) & (!! @ d_unsorted @ (^[Y0 : d_unsorted]: (!! @ d_unsorted @ (^[Y1 : d_unsorted]: (((d2unsorted @ Y1) = (d2unsorted @ Y0)) => (Y1 = Y0))))))) & (ind = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $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 @ Y6 @ Y8))) | (~ (Y5 @ Y8 @ Y7))))))))))) | (Y5 @ Y3 @ Y4))))))))) | (Y2 @ Y3))))))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y1) | (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = total)) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((Y0 @ (Y0 @ Y1)) = (Y0 @ Y1))))) = idem)) & (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y0 @ Y4 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y3 @ Y5 @ Y6)) | (Y4 @ Y5 @ Y6)))))))) | (~ (Y0 @ Y3 @ Y1 @ Y2)))))))))))))) & (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (Y2 = Y1)) | (~ (Y0 @ Y1 @ Y2)))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y1 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y4)) | (~ (Y0 @ Y3 @ Y4)))))))))))))))) = term)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y5 @ Y6) | (~ (Y0 @ Y5 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (Y4 @ Y5 @ Y6)) | (~ (Y4 @ Y5 @ Y7)))))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (~ (Y0 @ Y3 @ Y4))))))))))))))) = norm)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) = refl)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y3)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y3 @ Y2)))))))))) = trans)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((((((((((Y3 @ Y1 @ Y5) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y8 @ Y6)) | (~ (Y2 @ Y7 @ Y8))) | (Y2 @ Y7 @ Y6)))))))))) | (Y5 = Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y5 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y8 @ Y10) | (~ (Y7 @ Y9 @ Y10))) | (~ (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y8 @ Y9)) | (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y10 @ Y9) | (~ (Y7 @ Y10 @ Y8))) | (~ (Y7 @ Y8 @ Y9)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))) | (Y7 @ Y1 @ Y6)))))))))) | (Y2 @ Y5 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y2 @ Y6 @ Y7)))))))) | (~ (Y0 @ Y4 @ Y5))) | (~ (Y0 @ Y4 @ Y1))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y3 @ Y8 @ Y7) | (~ (Y3 @ Y6 @ Y7))) | (~ (Y3 @ Y8 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y3 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6)))))))))))))))))))) = lconfl)) & (po = (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y1 @ Y3))) | (~ (Y0 @ Y3 @ Y2))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y1 @ Y2))) | (Y2 = Y1))))))) & (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))))))) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y3 @ Y2))))))))) = infl)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) = inv)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y5))) | (Y4 @ Y7 @ Y5))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y5)) | (~ (Y4 @ Y6 @ Y7))) | (Y4 @ Y6 @ Y5)))))))))))))))) & (~ (Y1 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y6)) | (Y3 @ Y4 @ Y5)) | (~ (Y3 @ Y6 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y2 @ Y1)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y5) | (~ (Y3 @ Y6 @ Y5))) | (~ (Y3 @ Y4 @ Y6)))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))))))))))))) = join)) & (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1)))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (~ (Y0 @ Y1 @ Y2))))))) = innf)) & (trsc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y5)) | (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y6 @ Y4))))))))))) | (Y3 @ Y1 @ Y2)))) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y4 @ Y5))) | (Y3 @ Y6 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (Y3 @ Y2 @ Y1))))) | (Y1 = Y2))))))))) & ((^[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 @ Y6 @ Y4)) | (Y3 @ Y5 @ Y4)) | (~ (Y3 @ Y5 @ Y6))))))))))) | (Y3 @ Y1 @ Y2)))))))))) = trc)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2))))))) = sc)) & ((^[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 @ Y4)) | (~ (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (Y3 @ Y1 @ Y2))))))))) = tc)) & (!! @ $i @ (^[Y0 : $i]: (?? @ d_unsorted @ (^[Y1 : d_unsorted]: ((d2unsorted @ Y1) = Y0)))))) = $true)), 291.92/42.21 inference(binary_proxy_clausification,[status(thm)],[f22])). 291.92/42.21 thf(f22,plain,( 291.92/42.21 (((((((((((((((((((((((((((((sconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $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 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y4 @ Y7 @ Y6))))))) | (~ (Y0 @ Y2 @ Y3))) | ((~ (Y2 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y7)) | (Y6 @ Y9 @ Y8)) | (~ (Y6 @ Y7 @ Y8))))))))))) | (Y6 @ Y2 @ Y1))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8))))))) | (Y7 @ Y3 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (~ (Y7 @ Y8 @ Y10))) | (Y7 @ Y8 @ Y9))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y1 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (Y7 @ Y10 @ Y8)) | (~ (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 @ Y1 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y7 @ Y8)) | (Y5 @ Y6 @ Y8)) | (~ (Y5 @ Y6 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (Y3 = Y1)) | (Y4 @ Y3 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y8 @ Y7)) | (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y6 @ Y8))))))))))))))))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2))))))))) = subrel)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y1 = Y2))))))) = rc)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = symm)) & (nfof = (^[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 @ Y4)) | (~ (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))) | (Y3 @ Y2 @ Y1)))) | (Y1 = Y2)) & (!! @ $i @ (^[Y3 : $i]: (~ (Y0 @ Y1 @ Y3)))))))))))) & (!! @ d_unsorted @ (^[Y0 : d_unsorted]: (!! @ d_unsorted @ (^[Y1 : d_unsorted]: (((d2unsorted @ Y1) = (d2unsorted @ Y0)) => (Y1 = Y0))))))) & (ind = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $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 @ Y6 @ Y8))) | (~ (Y5 @ Y8 @ Y7))))))))))) | (Y5 @ Y3 @ Y4))))))))) | (Y2 @ Y3))))))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y1) | (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = total)) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((Y0 @ (Y0 @ Y1)) = (Y0 @ Y1))))) = idem)) & (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y0 @ Y4 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y3 @ Y5 @ Y6)) | (Y4 @ Y5 @ Y6)))))))) | (~ (Y0 @ Y3 @ Y1 @ Y2)))))))))))))) & (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (Y2 = Y1)) | (~ (Y0 @ Y1 @ Y2)))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y1 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y4)) | (~ (Y0 @ Y3 @ Y4)))))))))))))))) = term)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y5 @ Y6) | (~ (Y0 @ Y5 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (Y4 @ Y5 @ Y6)) | (~ (Y4 @ Y5 @ Y7)))))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (~ (Y0 @ Y3 @ Y4))))))))))))))) = norm)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) = refl)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y3)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y3 @ Y2)))))))))) = trans)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((((((((((Y3 @ Y1 @ Y5) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y8 @ Y6)) | (~ (Y2 @ Y7 @ Y8))) | (Y2 @ Y7 @ Y6)))))))))) | (Y5 = Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y5 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y8 @ Y10) | (~ (Y7 @ Y9 @ Y10))) | (~ (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y8 @ Y9)) | (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y10 @ Y9) | (~ (Y7 @ Y10 @ Y8))) | (~ (Y7 @ Y8 @ Y9)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))) | (Y7 @ Y1 @ Y6)))))))))) | (Y2 @ Y5 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y2 @ Y6 @ Y7)))))))) | (~ (Y0 @ Y4 @ Y5))) | (~ (Y0 @ Y4 @ Y1))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y3 @ Y8 @ Y7) | (~ (Y3 @ Y6 @ Y7))) | (~ (Y3 @ Y8 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y3 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6)))))))))))))))))))) = lconfl)) & (po = (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y1 @ Y3))) | (~ (Y0 @ Y3 @ Y2))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y1 @ Y2))) | (Y2 = Y1))))))) & (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))))))) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y3 @ Y2))))))))) = infl)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) = inv)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y5))) | (Y4 @ Y7 @ Y5))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y5)) | (~ (Y4 @ Y6 @ Y7))) | (Y4 @ Y6 @ Y5)))))))))))))))) & (~ (Y1 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y6)) | (Y3 @ Y4 @ Y5)) | (~ (Y3 @ Y6 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y2 @ Y1)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y5) | (~ (Y3 @ Y6 @ Y5))) | (~ (Y3 @ Y4 @ Y6)))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))))))))))))) = join)) & (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1)))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (~ (Y0 @ Y1 @ Y2))))))) = innf)) & (trsc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y5)) | (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y6 @ Y4))))))))))) | (Y3 @ Y1 @ Y2)))) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y4 @ Y5))) | (Y3 @ Y6 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (Y3 @ Y2 @ Y1))))) | (Y1 = Y2))))))))) & ((^[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 @ Y6 @ Y4)) | (Y3 @ Y5 @ Y4)) | (~ (Y3 @ Y5 @ Y6))))))))))) | (Y3 @ Y1 @ Y2)))))))))) = trc)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2))))))) = sc)) & ((^[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 @ Y4)) | (~ (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (Y3 @ Y1 @ Y2))))))))) = tc)) & (!! @ $i @ (^[Y0 : $i]: (?? @ d_unsorted @ (^[Y1 : d_unsorted]: ((d2unsorted @ Y1) = Y0)))))) & ((^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y1 @ Y3))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y1 @ Y2))))))))) = so)) = $true)), 291.92/42.21 inference(binary_proxy_clausification,[status(thm)],[f19])). 291.92/42.21 thf(f19,plain,( 291.92/42.21 ($true = (((((((((((((((((((((((((((((sconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $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 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y4 @ Y7 @ Y6))))))) | (~ (Y0 @ Y2 @ Y3))) | ((~ (Y2 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y7)) | (Y6 @ Y9 @ Y8)) | (~ (Y6 @ Y7 @ Y8))))))))))) | (Y6 @ Y2 @ Y1))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8))))))) | (Y7 @ Y3 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (~ (Y7 @ Y8 @ Y10))) | (Y7 @ Y8 @ Y9))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y1 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (Y7 @ Y10 @ Y8)) | (~ (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 @ Y1 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y7 @ Y8)) | (Y5 @ Y6 @ Y8)) | (~ (Y5 @ Y6 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (Y3 = Y1)) | (Y4 @ Y3 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y8 @ Y7)) | (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y6 @ Y8))))))))))))))))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2))))))))) = subrel)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y1 = Y2))))))) = rc)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = symm)) & (nfof = (^[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 @ Y4)) | (~ (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))) | (Y3 @ Y2 @ Y1)))) | (Y1 = Y2)) & (!! @ $i @ (^[Y3 : $i]: (~ (Y0 @ Y1 @ Y3)))))))))))) & (!! @ d_unsorted @ (^[Y0 : d_unsorted]: (!! @ d_unsorted @ (^[Y1 : d_unsorted]: (((d2unsorted @ Y1) = (d2unsorted @ Y0)) => (Y1 = Y0))))))) & (ind = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $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 @ Y6 @ Y8))) | (~ (Y5 @ Y8 @ Y7))))))))))) | (Y5 @ Y3 @ Y4))))))))) | (Y2 @ Y3))))))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y1) | (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = total)) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((Y0 @ (Y0 @ Y1)) = (Y0 @ Y1))))) = idem)) & (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y0 @ Y4 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y3 @ Y5 @ Y6)) | (Y4 @ Y5 @ Y6)))))))) | (~ (Y0 @ Y3 @ Y1 @ Y2)))))))))))))) & (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (Y2 = Y1)) | (~ (Y0 @ Y1 @ Y2)))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y1 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y4)) | (~ (Y0 @ Y3 @ Y4)))))))))))))))) = term)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y5 @ Y6) | (~ (Y0 @ Y5 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (Y4 @ Y5 @ Y6)) | (~ (Y4 @ Y5 @ Y7)))))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (~ (Y0 @ Y3 @ Y4))))))))))))))) = norm)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) = refl)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y3)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y3 @ Y2)))))))))) = trans)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((((((((((Y3 @ Y1 @ Y5) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y8 @ Y6)) | (~ (Y2 @ Y7 @ Y8))) | (Y2 @ Y7 @ Y6)))))))))) | (Y5 = Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y5 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y8 @ Y10) | (~ (Y7 @ Y9 @ Y10))) | (~ (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y8 @ Y9)) | (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y10 @ Y9) | (~ (Y7 @ Y10 @ Y8))) | (~ (Y7 @ Y8 @ Y9)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))) | (Y7 @ Y1 @ Y6)))))))))) | (Y2 @ Y5 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y2 @ Y6 @ Y7)))))))) | (~ (Y0 @ Y4 @ Y5))) | (~ (Y0 @ Y4 @ Y1))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y3 @ Y8 @ Y7) | (~ (Y3 @ Y6 @ Y7))) | (~ (Y3 @ Y8 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y3 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6)))))))))))))))))))) = lconfl)) & (po = (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y1 @ Y3))) | (~ (Y0 @ Y3 @ Y2))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y1 @ Y2))) | (Y2 = Y1))))))) & (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))))))) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y3 @ Y2))))))))) = infl)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) = inv)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y5))) | (Y4 @ Y7 @ Y5))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y5)) | (~ (Y4 @ Y6 @ Y7))) | (Y4 @ Y6 @ Y5)))))))))))))))) & (~ (Y1 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y6)) | (Y3 @ Y4 @ Y5)) | (~ (Y3 @ Y6 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y2 @ Y1)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y5) | (~ (Y3 @ Y6 @ Y5))) | (~ (Y3 @ Y4 @ Y6)))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))))))))))))) = join)) & (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1)))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (~ (Y0 @ Y1 @ Y2))))))) = innf)) & (trsc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y5)) | (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y6 @ Y4))))))))))) | (Y3 @ Y1 @ Y2)))) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y4 @ Y5))) | (Y3 @ Y6 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (Y3 @ Y2 @ Y1))))) | (Y1 = Y2))))))))) & ((^[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 @ Y6 @ Y4)) | (Y3 @ Y5 @ Y4)) | (~ (Y3 @ Y5 @ Y6))))))))))) | (Y3 @ Y1 @ Y2)))))))))) = trc)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2))))))) = sc)) & ((^[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 @ Y4)) | (~ (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (Y3 @ Y1 @ Y2))))))))) = tc)) & (!! @ $i @ (^[Y0 : $i]: (?? @ d_unsorted @ (^[Y1 : d_unsorted]: ((d2unsorted @ Y1) = Y0)))))) & ((^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y1 @ Y3))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y1 @ Y2))))))))) = so)) & (irrefl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1 @ Y1))))))))), 291.92/42.21 inference(binary_proxy_clausification,[status(thm)],[f17])). 291.92/42.21 thf(f17,plain,( 291.92/42.21 ($true = ((((((((((((((((((((((((((((((sconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $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 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y4 @ Y7 @ Y6))))))) | (~ (Y0 @ Y2 @ Y3))) | ((~ (Y2 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y7)) | (Y6 @ Y9 @ Y8)) | (~ (Y6 @ Y7 @ Y8))))))))))) | (Y6 @ Y2 @ Y1))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8))))))) | (Y7 @ Y3 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (~ (Y7 @ Y8 @ Y10))) | (Y7 @ Y8 @ Y9))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y1 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (Y7 @ Y10 @ Y8)) | (~ (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 @ Y1 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y7 @ Y8)) | (Y5 @ Y6 @ Y8)) | (~ (Y5 @ Y6 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (Y3 = Y1)) | (Y4 @ Y3 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y8 @ Y7)) | (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y6 @ Y8))))))))))))))))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2))))))))) = subrel)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y1 = Y2))))))) = rc)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = symm)) & (nfof = (^[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 @ Y4)) | (~ (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))) | (Y3 @ Y2 @ Y1)))) | (Y1 = Y2)) & (!! @ $i @ (^[Y3 : $i]: (~ (Y0 @ Y1 @ Y3)))))))))))) & (!! @ d_unsorted @ (^[Y0 : d_unsorted]: (!! @ d_unsorted @ (^[Y1 : d_unsorted]: (((d2unsorted @ Y1) = (d2unsorted @ Y0)) => (Y1 = Y0))))))) & (ind = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $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 @ Y6 @ Y8))) | (~ (Y5 @ Y8 @ Y7))))))))))) | (Y5 @ Y3 @ Y4))))))))) | (Y2 @ Y3))))))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y1) | (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = total)) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((Y0 @ (Y0 @ Y1)) = (Y0 @ Y1))))) = idem)) & (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y0 @ Y4 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y3 @ Y5 @ Y6)) | (Y4 @ Y5 @ Y6)))))))) | (~ (Y0 @ Y3 @ Y1 @ Y2)))))))))))))) & (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (Y2 = Y1)) | (~ (Y0 @ Y1 @ Y2)))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y1 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y4)) | (~ (Y0 @ Y3 @ Y4)))))))))))))))) = term)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y5 @ Y6) | (~ (Y0 @ Y5 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (Y4 @ Y5 @ Y6)) | (~ (Y4 @ Y5 @ Y7)))))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (~ (Y0 @ Y3 @ Y4))))))))))))))) = norm)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) = refl)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y3)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y3 @ Y2)))))))))) = trans)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((((((((((Y3 @ Y1 @ Y5) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y8 @ Y6)) | (~ (Y2 @ Y7 @ Y8))) | (Y2 @ Y7 @ Y6)))))))))) | (Y5 = Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y5 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y8 @ Y10) | (~ (Y7 @ Y9 @ Y10))) | (~ (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y8 @ Y9)) | (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y10 @ Y9) | (~ (Y7 @ Y10 @ Y8))) | (~ (Y7 @ Y8 @ Y9)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))) | (Y7 @ Y1 @ Y6)))))))))) | (Y2 @ Y5 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y2 @ Y6 @ Y7)))))))) | (~ (Y0 @ Y4 @ Y5))) | (~ (Y0 @ Y4 @ Y1))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y3 @ Y8 @ Y7) | (~ (Y3 @ Y6 @ Y7))) | (~ (Y3 @ Y8 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y3 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6)))))))))))))))))))) = lconfl)) & (po = (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y1 @ Y3))) | (~ (Y0 @ Y3 @ Y2))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y1 @ Y2))) | (Y2 = Y1))))))) & (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))))))) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y3 @ Y2))))))))) = infl)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) = inv)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y5))) | (Y4 @ Y7 @ Y5))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y5)) | (~ (Y4 @ Y6 @ Y7))) | (Y4 @ Y6 @ Y5)))))))))))))))) & (~ (Y1 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y6)) | (Y3 @ Y4 @ Y5)) | (~ (Y3 @ Y6 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y2 @ Y1)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y5) | (~ (Y3 @ Y6 @ Y5))) | (~ (Y3 @ Y4 @ Y6)))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))))))))))))) = join)) & (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1)))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (~ (Y0 @ Y1 @ Y2))))))) = innf)) & (trsc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y5)) | (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y6 @ Y4))))))))))) | (Y3 @ Y1 @ Y2)))) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y4 @ Y5))) | (Y3 @ Y6 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (Y3 @ Y2 @ Y1))))) | (Y1 = Y2))))))))) & ((^[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 @ Y6 @ Y4)) | (Y3 @ Y5 @ Y4)) | (~ (Y3 @ Y5 @ Y6))))))))))) | (Y3 @ Y1 @ Y2)))))))))) = trc)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2))))))) = sc)) & ((^[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 @ Y4)) | (~ (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (Y3 @ Y1 @ Y2))))))))) = tc)) & (!! @ $i @ (^[Y0 : $i]: (?? @ d_unsorted @ (^[Y1 : d_unsorted]: ((d2unsorted @ Y1) = Y0)))))) & ((^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y1 @ Y3))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y1 @ Y2))))))))) = so)) & (irrefl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1 @ Y1))))))) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (((((((((Y4 = Y1) | (Y3 @ Y4 @ Y1)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y4 @ Y5) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y8 @ Y7) | (~ (Y0 @ Y8 @ Y7))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y7 @ Y8)) | (~ (Y6 @ Y8 @ Y9))) | (Y6 @ Y7 @ Y9))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y7 @ Y8)) | (Y6 @ Y7 @ Y8))))))) | (Y6 @ Y1 @ Y5)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y9 @ Y7) | (~ (Y6 @ Y8 @ Y7))) | (~ (Y6 @ Y9 @ Y8))))))))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y3 @ Y5 @ Y7)) | (~ (Y3 @ Y6 @ Y5))) | (Y3 @ Y6 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y2 @ Y5 @ Y7) | (~ (Y2 @ Y6 @ Y7))) | (~ (Y2 @ Y5 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y5 @ Y6)) | (Y2 @ Y5 @ Y6)))))))) | (Y2 @ Y1 @ Y4)) | (((~ (Y4 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y4 @ Y1) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y5 @ Y8 @ Y7) | (~ (Y5 @ Y8 @ Y6))) | (~ (Y5 @ Y6 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))))))) & (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y1 @ Y4) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y5 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y6 @ Y8)) | (~ (Y5 @ Y7 @ Y6))) | (Y5 @ Y7 @ Y8))))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5)))))))))))))))))) = cr)))), 291.92/42.21 inference(binary_proxy_clausification,[status(thm)],[f15])). 291.92/42.21 thf(f382,plain,( 291.92/42.21 ((join @ sK2 @ sK11 @ sK4) = $false) | ~spl0_3), 291.92/42.21 inference(binary_proxy_clausification,[status(thm)],[f381])). 291.92/42.21 thf(f381,plain,( 291.92/42.21 ($false = (((trc @ sK2 @ sK12 @ sK11) & (trc @ sK2 @ sK12 @ sK4)) => (join @ sK2 @ sK11 @ sK4))) | ~spl0_3), 291.92/42.21 inference(beta_eta_normalization,[status(thm)],[f380])). 291.92/42.21 thf(f380,plain,( 291.92/42.21 ($false = ((^[Y0 : $i]: (((trc @ sK2 @ Y0 @ sK11) & (trc @ sK2 @ Y0 @ sK4)) => (join @ sK2 @ sK11 @ sK4))) @ sK12)) | ~spl0_3), 291.92/42.21 inference(sigma_clausification,[status(thm)],[f375])). 291.92/42.21 thf(f375,plain,( 291.92/42.21 ($false = (!! @ $i @ (^[Y0 : $i]: (((trc @ sK2 @ Y0 @ sK11) & (trc @ sK2 @ Y0 @ sK4)) => (join @ sK2 @ sK11 @ sK4))))) | ~spl0_3), 291.92/42.21 inference(beta_eta_normalization,[status(thm)],[f374])). 291.92/42.21 thf(f374,plain,( 291.92/42.21 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((trc @ sK2 @ Y1 @ Y0) & (trc @ sK2 @ Y1 @ sK4)) => (join @ sK2 @ Y0 @ sK4))))) @ sK11) = $false) | ~spl0_3), 291.92/42.21 inference(sigma_clausification,[status(thm)],[f370])). 291.92/42.21 thf(f370,plain,( 291.92/42.21 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((trc @ sK2 @ Y1 @ Y0) & (trc @ sK2 @ Y1 @ sK4)) => (join @ sK2 @ Y0 @ sK4)))))) = $false) | ~spl0_3), 291.92/42.21 inference(beta_eta_normalization,[status(thm)],[f369])). 291.92/42.21 thf(f369,plain,( 291.92/42.21 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((trc @ sK2 @ Y2 @ Y1) & (trc @ sK2 @ Y2 @ Y0)) => (join @ sK2 @ Y1 @ Y0))))))) @ sK4) = $false) | ~spl0_3), 291.92/42.21 inference(sigma_clausification,[status(thm)],[f142])). 291.92/42.21 thf(f142,plain,( 291.92/42.21 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((trc @ sK2 @ Y2 @ Y1) & (trc @ sK2 @ Y2 @ Y0)) => (join @ sK2 @ Y1 @ Y0)))))))) = $false) | ~spl0_3), 291.92/42.21 inference(avatar_component_clause,[status(thm)],[f141])). 291.92/42.21 thf(f141,definition,( 291.92/42.21 spl0_3 <=> ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((trc @ sK2 @ Y2 @ Y1) & (trc @ sK2 @ Y2 @ Y0)) => (join @ sK2 @ Y1 @ Y0)))))))) = $false)), 291.92/42.21 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])). 291.92/42.21 thf(f22088,plain,( 291.92/42.21 ( ! [X2 : $i,X3 : $i,X1 : $i > $i > $o] : (((join @ X1 @ X2 @ X3) = $true)) )), 291.92/42.21 inference(subsumption_resolution,[status(thm)],[f22087,f150])). 291.92/42.21 thf(f22087,plain,( 291.92/42.21 ( ! [X2 : $i,X3 : $i,X1 : $i > $i > $o] : ((X2 != X3) | ((join @ X1 @ X2 @ X3) = $true)) )), 291.92/42.21 inference(equality_proxy_clausification,[status(thm)],[f22086])). 291.92/42.21 thf(f22086,plain,( 291.92/42.21 ( ! [X2 : $i,X3 : $i,X1 : $i > $i > $o] : (((join @ X1 @ X2 @ X3) = $true) | ($false = (X2 = X3))) )), 291.92/42.21 inference(not_proxy_clausification,[status(thm)],[f22084])). 291.92/42.21 thf(f22084,plain,( 291.92/42.21 ( ! [X2 : $i,X3 : $i,X1 : $i > $i > $o] : (((~ (X2 = X3)) = $true) | ((join @ X1 @ X2 @ X3) = $true)) )), 291.92/42.21 inference(binary_proxy_clausification,[status(thm)],[f22082])). 291.92/42.21 thf(f22082,plain,( 291.92/42.21 ( ! [X2 : $i,X3 : $i,X1 : $i > $i > $o] : (((join @ X1 @ X2 @ X3) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((Y1 @ X2 @ Y0) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y3)) | (~ (Y1 @ Y3 @ Y2))) | (Y1 @ Y4 @ Y2))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((Y1 @ X3 @ Y0) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y2)) | (~ (Y1 @ Y3 @ Y4))) | (Y1 @ Y3 @ Y2)))))))))))))))) & (~ (X2 = X3))) = $true)) )), 291.92/42.21 inference(binary_proxy_clausification,[status(thm)],[f22079])). 291.92/42.21 thf(f22079,plain,( 291.92/42.21 ( ! [X2 : $i,X3 : $i,X1 : $i > $i > $o] : (((join @ X1 @ X2 @ X3) = $true) | ((((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((Y1 @ X2 @ Y0) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y3)) | (~ (Y1 @ Y3 @ Y2))) | (Y1 @ Y4 @ Y2))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((Y1 @ X3 @ Y0) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y2)) | (~ (Y1 @ Y3 @ Y4))) | (Y1 @ Y3 @ Y2)))))))))))))))) & (~ (X2 = X3))) & (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y3)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y3 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y1 @ Y2)) | (Y0 @ Y1 @ Y2)))))))) | (Y0 @ X3 @ X2)))))) = $true)) )), 291.92/42.21 inference(binary_proxy_clausification,[status(thm)],[f22077])). 291.92/42.21 thf(f22077,plain,( 291.92/42.21 ( ! [X2 : $i,X3 : $i,X1 : $i > $i > $o] : (($true = ((((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((Y1 @ X2 @ Y0) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y3)) | (~ (Y1 @ Y3 @ Y2))) | (Y1 @ Y4 @ Y2))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((Y1 @ X3 @ Y0) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y2)) | (~ (Y1 @ Y3 @ Y4))) | (Y1 @ Y3 @ Y2)))))))))))))))) & (~ (X2 = X3))) & (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y3)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y3 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y1 @ Y2)) | (Y0 @ Y1 @ Y2)))))))) | (Y0 @ X3 @ X2)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y3 @ Y2))) | (~ (Y0 @ Y1 @ Y3)))))))))) | (Y0 @ X2 @ X3)) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (~ (X1 @ Y1 @ Y2)))))))))))))) | ((join @ X1 @ X2 @ X3) = $true)) )), 291.92/42.21 inference(not_proxy_clausification,[status(thm)],[f22075])). 291.92/42.21 thf(f22075,plain,( 291.92/42.21 ( ! [X2 : $i,X3 : $i,X1 : $i > $i > $o] : (($false = (~ ((((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((Y1 @ X2 @ Y0) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y3)) | (~ (Y1 @ Y3 @ Y2))) | (Y1 @ Y4 @ Y2))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((Y1 @ X3 @ Y0) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y2)) | (~ (Y1 @ Y3 @ Y4))) | (Y1 @ Y3 @ Y2)))))))))))))))) & (~ (X2 = X3))) & (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y3)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y3 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y1 @ Y2)) | (Y0 @ Y1 @ Y2)))))))) | (Y0 @ X3 @ X2)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y3 @ Y2))) | (~ (Y0 @ Y1 @ Y3)))))))))) | (Y0 @ X2 @ X3)) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (~ (X1 @ Y1 @ Y2))))))))))))))) | ((join @ X1 @ X2 @ X3) = $true)) )), 291.92/42.21 inference(binary_proxy_clausification,[status(thm)],[f22074])). 291.92/42.21 thf(f22074,plain,( 291.92/42.21 ( ! [X2 : $i,X3 : $i,X1 : $i > $i > $o] : (((join @ X1 @ X2 @ X3) = (~ ((((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((Y1 @ X2 @ Y0) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y3)) | (~ (Y1 @ Y3 @ Y2))) | (Y1 @ Y4 @ Y2))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((Y1 @ X3 @ Y0) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y2)) | (~ (Y1 @ Y3 @ Y4))) | (Y1 @ Y3 @ Y2)))))))))))))))) & (~ (X2 = X3))) & (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y3)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y3 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y1 @ Y2)) | (Y0 @ Y1 @ Y2)))))))) | (Y0 @ X3 @ X2)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y3 @ Y2))) | (~ (Y0 @ Y1 @ Y3)))))))))) | (Y0 @ X2 @ X3)) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (~ (X1 @ Y1 @ Y2)))))))))))))))) )), 291.92/42.21 inference(beta_eta_normalization,[status(thm)],[f22073])). 291.92/42.21 thf(f22073,plain,( 291.92/42.21 ( ! [X2 : $i,X3 : $i,X1 : $i > $i > $o] : ((((^[Y0 : $i]: (~ ((((!! @ $i @ (^[Y1 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ X2 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (X1 @ Y4 @ Y3)) | (Y2 @ Y4 @ Y3)))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y5 @ Y4)) | (~ (Y2 @ Y4 @ Y3))) | (Y2 @ Y5 @ Y3))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ Y0 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (X1 @ Y4 @ Y3)) | (Y2 @ Y4 @ Y3)))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y5 @ Y3)) | (~ (Y2 @ Y4 @ Y5))) | (Y2 @ Y4 @ Y3)))))))))))))))) & (~ (X2 = Y0))) & (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y2 @ Y4)) | (Y1 @ Y2 @ Y3)) | (~ (Y1 @ Y4 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y2 @ Y3)) | (Y1 @ Y2 @ Y3)))))))) | (Y1 @ Y0 @ X2)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y3) | (~ (Y1 @ Y4 @ Y3))) | (~ (Y1 @ Y2 @ Y4)))))))))) | (Y1 @ X2 @ Y0)) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y2 @ Y3) | (~ (X1 @ Y2 @ Y3))))))))))))))) @ X3) = (join @ X1 @ X2 @ X3))) )), 291.92/42.21 inference(argument_congruence,[status(thm)],[f20611])). 291.92/42.21 thf(f20611,plain,( 291.92/42.21 ( ! [X2 : $i,X1 : $i > $i > $o] : (((^[Y0 : $i]: (~ ((((!! @ $i @ (^[Y1 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ X2 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (X1 @ Y4 @ Y3)) | (Y2 @ Y4 @ Y3)))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y5 @ Y4)) | (~ (Y2 @ Y4 @ Y3))) | (Y2 @ Y5 @ Y3))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ Y0 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (X1 @ Y4 @ Y3)) | (Y2 @ Y4 @ Y3)))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y5 @ Y3)) | (~ (Y2 @ Y4 @ Y5))) | (Y2 @ Y4 @ Y3)))))))))))))))) & (~ (X2 = Y0))) & (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y2 @ Y4)) | (Y1 @ Y2 @ Y3)) | (~ (Y1 @ Y4 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y2 @ Y3)) | (Y1 @ Y2 @ Y3)))))))) | (Y1 @ Y0 @ X2)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y3) | (~ (Y1 @ Y4 @ Y3))) | (~ (Y1 @ Y2 @ Y4)))))))))) | (Y1 @ X2 @ Y0)) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y2 @ Y3) | (~ (X1 @ Y2 @ Y3))))))))))))))) = (join @ X1 @ X2))) )), 291.92/42.21 inference(beta_eta_normalization,[status(thm)],[f20610])). 291.92/42.21 thf(f20610,plain,( 291.92/42.21 ( ! [X2 : $i,X1 : $i > $i > $o] : ((((^[Y0 : $i]: ((^[Y1 : $i]: (~ ((((!! @ $i @ (^[Y2 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y0 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (X1 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y5 @ Y4))) | (Y3 @ Y6 @ Y4))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (X1 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y5 @ Y6))) | (Y3 @ Y5 @ Y4)))))))))))))))) & (~ (Y0 = Y1))) & (~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y3 @ Y5)) | (Y2 @ Y3 @ Y4)) | (~ (Y2 @ Y5 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (X1 @ Y3 @ Y4)) | (Y2 @ Y3 @ Y4)))))))) | (Y2 @ Y1 @ Y0)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y3 @ Y4) | (~ (Y2 @ Y5 @ Y4))) | (~ (Y2 @ Y3 @ Y5)))))))))) | (Y2 @ Y0 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y3 @ Y4) | (~ (X1 @ Y3 @ Y4))))))))))))))))) @ X2) = (join @ X1 @ X2))) )), 291.92/42.21 inference(argument_congruence,[status(thm)],[f13509])). 291.92/42.21 thf(f13509,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : (((join @ X1) = (^[Y0 : $i]: ((^[Y1 : $i]: (~ ((((!! @ $i @ (^[Y2 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y0 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (X1 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y5 @ Y4))) | (Y3 @ Y6 @ Y4))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (X1 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y5 @ Y6))) | (Y3 @ Y5 @ Y4)))))))))))))))) & (~ (Y0 = Y1))) & (~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y3 @ Y5)) | (Y2 @ Y3 @ Y4)) | (~ (Y2 @ Y5 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (X1 @ Y3 @ Y4)) | (Y2 @ Y3 @ Y4)))))))) | (Y2 @ Y1 @ Y0)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y3 @ Y4) | (~ (Y2 @ Y5 @ Y4))) | (~ (Y2 @ Y3 @ Y5)))))))))) | (Y2 @ Y0 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y3 @ Y4) | (~ (X1 @ Y3 @ Y4))))))))))))))))))) )), 291.92/42.21 inference(beta_eta_normalization,[status(thm)],[f13508])). 291.92/42.21 thf(f13508,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : ((((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y5))) | (Y4 @ Y7 @ Y5))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y5)) | (~ (Y4 @ Y6 @ Y7))) | (Y4 @ Y6 @ Y5)))))))))))))))) & (~ (Y1 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y6)) | (Y3 @ Y4 @ Y5)) | (~ (Y3 @ Y6 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y2 @ Y1)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y5) | (~ (Y3 @ Y6 @ Y5))) | (~ (Y3 @ Y4 @ Y6)))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))))))))))))) @ X1) = (join @ X1))) )), 291.92/42.21 inference(argument_congruence,[status(thm)],[f47])). 291.92/42.21 thf(f47,plain,( 291.92/42.21 (join = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y5))) | (Y4 @ Y7 @ Y5))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y5)) | (~ (Y4 @ Y6 @ Y7))) | (Y4 @ Y6 @ Y5)))))))))))))))) & (~ (Y1 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y6)) | (Y3 @ Y4 @ Y5)) | (~ (Y3 @ Y6 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y2 @ Y1)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y5) | (~ (Y3 @ Y6 @ Y5))) | (~ (Y3 @ Y4 @ Y6)))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))))))))))))))), 291.92/42.21 inference(equality_proxy_clausification,[status(thm)],[f45])). 291.92/42.21 thf(f45,plain,( 291.92/42.21 (((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y5))) | (Y4 @ Y7 @ Y5))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y5)) | (~ (Y4 @ Y6 @ Y7))) | (Y4 @ Y6 @ Y5)))))))))))))))) & (~ (Y1 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y6)) | (Y3 @ Y4 @ Y5)) | (~ (Y3 @ Y6 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y2 @ Y1)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y5) | (~ (Y3 @ Y6 @ Y5))) | (~ (Y3 @ Y4 @ Y6)))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))))))))))))) = join) = $true)), 291.92/42.21 inference(binary_proxy_clausification,[status(thm)],[f44])). 291.92/42.21 thf(f44,plain,( 291.92/42.21 (((((((((((((((((((((sconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $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 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y4 @ Y7 @ Y6))))))) | (~ (Y0 @ Y2 @ Y3))) | ((~ (Y2 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y7)) | (Y6 @ Y9 @ Y8)) | (~ (Y6 @ Y7 @ Y8))))))))))) | (Y6 @ Y2 @ Y1))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8))))))) | (Y7 @ Y3 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (~ (Y7 @ Y8 @ Y10))) | (Y7 @ Y8 @ Y9))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y1 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (Y7 @ Y10 @ Y8)) | (~ (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 @ Y1 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y7 @ Y8)) | (Y5 @ Y6 @ Y8)) | (~ (Y5 @ Y6 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (Y3 = Y1)) | (Y4 @ Y3 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y8 @ Y7)) | (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y6 @ Y8))))))))))))))))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2))))))))) = subrel)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y1 = Y2))))))) = rc)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = symm)) & (nfof = (^[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 @ Y4)) | (~ (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))) | (Y3 @ Y2 @ Y1)))) | (Y1 = Y2)) & (!! @ $i @ (^[Y3 : $i]: (~ (Y0 @ Y1 @ Y3)))))))))))) & (!! @ d_unsorted @ (^[Y0 : d_unsorted]: (!! @ d_unsorted @ (^[Y1 : d_unsorted]: (((d2unsorted @ Y1) = (d2unsorted @ Y0)) => (Y1 = Y0))))))) & (ind = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $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 @ Y6 @ Y8))) | (~ (Y5 @ Y8 @ Y7))))))))))) | (Y5 @ Y3 @ Y4))))))))) | (Y2 @ Y3))))))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y1) | (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = total)) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((Y0 @ (Y0 @ Y1)) = (Y0 @ Y1))))) = idem)) & (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y0 @ Y4 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y3 @ Y5 @ Y6)) | (Y4 @ Y5 @ Y6)))))))) | (~ (Y0 @ Y3 @ Y1 @ Y2)))))))))))))) & (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (Y2 = Y1)) | (~ (Y0 @ Y1 @ Y2)))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y1 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y4)) | (~ (Y0 @ Y3 @ Y4)))))))))))))))) = term)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y5 @ Y6) | (~ (Y0 @ Y5 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (Y4 @ Y5 @ Y6)) | (~ (Y4 @ Y5 @ Y7)))))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (~ (Y0 @ Y3 @ Y4))))))))))))))) = norm)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) = refl)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y3)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y3 @ Y2)))))))))) = trans)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((((((((((Y3 @ Y1 @ Y5) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y8 @ Y6)) | (~ (Y2 @ Y7 @ Y8))) | (Y2 @ Y7 @ Y6)))))))))) | (Y5 = Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y5 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y8 @ Y10) | (~ (Y7 @ Y9 @ Y10))) | (~ (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y8 @ Y9)) | (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y10 @ Y9) | (~ (Y7 @ Y10 @ Y8))) | (~ (Y7 @ Y8 @ Y9)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))) | (Y7 @ Y1 @ Y6)))))))))) | (Y2 @ Y5 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y2 @ Y6 @ Y7)))))))) | (~ (Y0 @ Y4 @ Y5))) | (~ (Y0 @ Y4 @ Y1))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y3 @ Y8 @ Y7) | (~ (Y3 @ Y6 @ Y7))) | (~ (Y3 @ Y8 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y3 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6)))))))))))))))))))) = lconfl)) & (po = (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y1 @ Y3))) | (~ (Y0 @ Y3 @ Y2))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y1 @ Y2))) | (Y2 = Y1))))))) & (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))))))) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y3 @ Y2))))))))) = infl)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) = inv)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y5))) | (Y4 @ Y7 @ Y5))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y5)) | (~ (Y4 @ Y6 @ Y7))) | (Y4 @ Y6 @ Y5)))))))))))))))) & (~ (Y1 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y6)) | (Y3 @ Y4 @ Y5)) | (~ (Y3 @ Y6 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y2 @ Y1)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y5) | (~ (Y3 @ Y6 @ Y5))) | (~ (Y3 @ Y4 @ Y6)))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))))))))))))) = join)) = $true)), 291.92/42.21 inference(binary_proxy_clausification,[status(thm)],[f41])). 291.92/42.21 thf(f41,plain,( 291.92/42.21 ($true = (((((((((((((((((((((sconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $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 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y4 @ Y7 @ Y6))))))) | (~ (Y0 @ Y2 @ Y3))) | ((~ (Y2 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y7)) | (Y6 @ Y9 @ Y8)) | (~ (Y6 @ Y7 @ Y8))))))))))) | (Y6 @ Y2 @ Y1))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8))))))) | (Y7 @ Y3 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (~ (Y7 @ Y8 @ Y10))) | (Y7 @ Y8 @ Y9))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y1 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (Y7 @ Y10 @ Y8)) | (~ (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 @ Y1 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y7 @ Y8)) | (Y5 @ Y6 @ Y8)) | (~ (Y5 @ Y6 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (Y3 = Y1)) | (Y4 @ Y3 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y8 @ Y7)) | (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y6 @ Y8))))))))))))))))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2))))))))) = subrel)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y1 = Y2))))))) = rc)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = symm)) & (nfof = (^[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 @ Y4)) | (~ (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))) | (Y3 @ Y2 @ Y1)))) | (Y1 = Y2)) & (!! @ $i @ (^[Y3 : $i]: (~ (Y0 @ Y1 @ Y3)))))))))))) & (!! @ d_unsorted @ (^[Y0 : d_unsorted]: (!! @ d_unsorted @ (^[Y1 : d_unsorted]: (((d2unsorted @ Y1) = (d2unsorted @ Y0)) => (Y1 = Y0))))))) & (ind = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $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 @ Y6 @ Y8))) | (~ (Y5 @ Y8 @ Y7))))))))))) | (Y5 @ Y3 @ Y4))))))))) | (Y2 @ Y3))))))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y1) | (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = total)) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((Y0 @ (Y0 @ Y1)) = (Y0 @ Y1))))) = idem)) & (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y0 @ Y4 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y3 @ Y5 @ Y6)) | (Y4 @ Y5 @ Y6)))))))) | (~ (Y0 @ Y3 @ Y1 @ Y2)))))))))))))) & (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (Y2 = Y1)) | (~ (Y0 @ Y1 @ Y2)))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y1 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y4)) | (~ (Y0 @ Y3 @ Y4)))))))))))))))) = term)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y5 @ Y6) | (~ (Y0 @ Y5 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (Y4 @ Y5 @ Y6)) | (~ (Y4 @ Y5 @ Y7)))))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (~ (Y0 @ Y3 @ Y4))))))))))))))) = norm)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) = refl)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y3)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y3 @ Y2)))))))))) = trans)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((((((((((Y3 @ Y1 @ Y5) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y8 @ Y6)) | (~ (Y2 @ Y7 @ Y8))) | (Y2 @ Y7 @ Y6)))))))))) | (Y5 = Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y5 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y8 @ Y10) | (~ (Y7 @ Y9 @ Y10))) | (~ (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y8 @ Y9)) | (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y10 @ Y9) | (~ (Y7 @ Y10 @ Y8))) | (~ (Y7 @ Y8 @ Y9)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))) | (Y7 @ Y1 @ Y6)))))))))) | (Y2 @ Y5 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y2 @ Y6 @ Y7)))))))) | (~ (Y0 @ Y4 @ Y5))) | (~ (Y0 @ Y4 @ Y1))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y3 @ Y8 @ Y7) | (~ (Y3 @ Y6 @ Y7))) | (~ (Y3 @ Y8 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y3 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6)))))))))))))))))))) = lconfl)) & (po = (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y1 @ Y3))) | (~ (Y0 @ Y3 @ Y2))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y1 @ Y2))) | (Y2 = Y1))))))) & (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))))))) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y3 @ Y2))))))))) = infl)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) = inv)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y5))) | (Y4 @ Y7 @ Y5))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y5)) | (~ (Y4 @ Y6 @ Y7))) | (Y4 @ Y6 @ Y5)))))))))))))))) & (~ (Y1 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y6)) | (Y3 @ Y4 @ Y5)) | (~ (Y3 @ Y6 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y2 @ Y1)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y5) | (~ (Y3 @ Y6 @ Y5))) | (~ (Y3 @ Y4 @ Y6)))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))))))))))))) = join)) & (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1)))))))))))), 291.92/42.21 inference(binary_proxy_clausification,[status(thm)],[f38])). 291.92/42.21 thf(f38,plain,( 291.92/42.21 (((((((((((((((((((((((sconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $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 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y4 @ Y7 @ Y6))))))) | (~ (Y0 @ Y2 @ Y3))) | ((~ (Y2 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y7)) | (Y6 @ Y9 @ Y8)) | (~ (Y6 @ Y7 @ Y8))))))))))) | (Y6 @ Y2 @ Y1))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8))))))) | (Y7 @ Y3 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (~ (Y7 @ Y8 @ Y10))) | (Y7 @ Y8 @ Y9))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y1 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (Y7 @ Y10 @ Y8)) | (~ (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 @ Y1 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y7 @ Y8)) | (Y5 @ Y6 @ Y8)) | (~ (Y5 @ Y6 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (Y3 = Y1)) | (Y4 @ Y3 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y8 @ Y7)) | (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y6 @ Y8))))))))))))))))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2))))))))) = subrel)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y1 = Y2))))))) = rc)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = symm)) & (nfof = (^[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 @ Y4)) | (~ (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))) | (Y3 @ Y2 @ Y1)))) | (Y1 = Y2)) & (!! @ $i @ (^[Y3 : $i]: (~ (Y0 @ Y1 @ Y3)))))))))))) & (!! @ d_unsorted @ (^[Y0 : d_unsorted]: (!! @ d_unsorted @ (^[Y1 : d_unsorted]: (((d2unsorted @ Y1) = (d2unsorted @ Y0)) => (Y1 = Y0))))))) & (ind = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $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 @ Y6 @ Y8))) | (~ (Y5 @ Y8 @ Y7))))))))))) | (Y5 @ Y3 @ Y4))))))))) | (Y2 @ Y3))))))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y1) | (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = total)) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((Y0 @ (Y0 @ Y1)) = (Y0 @ Y1))))) = idem)) & (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y0 @ Y4 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y3 @ Y5 @ Y6)) | (Y4 @ Y5 @ Y6)))))))) | (~ (Y0 @ Y3 @ Y1 @ Y2)))))))))))))) & (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (Y2 = Y1)) | (~ (Y0 @ Y1 @ Y2)))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y1 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y4)) | (~ (Y0 @ Y3 @ Y4)))))))))))))))) = term)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y5 @ Y6) | (~ (Y0 @ Y5 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (Y4 @ Y5 @ Y6)) | (~ (Y4 @ Y5 @ Y7)))))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (~ (Y0 @ Y3 @ Y4))))))))))))))) = norm)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) = refl)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y3)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y3 @ Y2)))))))))) = trans)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((((((((((Y3 @ Y1 @ Y5) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y8 @ Y6)) | (~ (Y2 @ Y7 @ Y8))) | (Y2 @ Y7 @ Y6)))))))))) | (Y5 = Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y5 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y8 @ Y10) | (~ (Y7 @ Y9 @ Y10))) | (~ (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y8 @ Y9)) | (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y10 @ Y9) | (~ (Y7 @ Y10 @ Y8))) | (~ (Y7 @ Y8 @ Y9)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))) | (Y7 @ Y1 @ Y6)))))))))) | (Y2 @ Y5 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y2 @ Y6 @ Y7)))))))) | (~ (Y0 @ Y4 @ Y5))) | (~ (Y0 @ Y4 @ Y1))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y3 @ Y8 @ Y7) | (~ (Y3 @ Y6 @ Y7))) | (~ (Y3 @ Y8 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y3 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6)))))))))))))))))))) = lconfl)) & (po = (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y1 @ Y3))) | (~ (Y0 @ Y3 @ Y2))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y1 @ Y2))) | (Y2 = Y1))))))) & (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))))))) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y3 @ Y2))))))))) = infl)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) = inv)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y5))) | (Y4 @ Y7 @ Y5))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y5)) | (~ (Y4 @ Y6 @ Y7))) | (Y4 @ Y6 @ Y5)))))))))))))))) & (~ (Y1 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y6)) | (Y3 @ Y4 @ Y5)) | (~ (Y3 @ Y6 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y2 @ Y1)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y5) | (~ (Y3 @ Y6 @ Y5))) | (~ (Y3 @ Y4 @ Y6)))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))))))))))))) = join)) & (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1)))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (~ (Y0 @ Y1 @ Y2))))))) = innf)) = $true)), 291.92/42.21 inference(binary_proxy_clausification,[status(thm)],[f35])). 291.92/42.21 thf(f35,plain,( 291.92/42.21 ($true = (((((((((((((((((((((((sconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $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 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y4 @ Y7 @ Y6))))))) | (~ (Y0 @ Y2 @ Y3))) | ((~ (Y2 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y7)) | (Y6 @ Y9 @ Y8)) | (~ (Y6 @ Y7 @ Y8))))))))))) | (Y6 @ Y2 @ Y1))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8))))))) | (Y7 @ Y3 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (~ (Y7 @ Y8 @ Y10))) | (Y7 @ Y8 @ Y9))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y1 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (Y7 @ Y10 @ Y8)) | (~ (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 @ Y1 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y7 @ Y8)) | (Y5 @ Y6 @ Y8)) | (~ (Y5 @ Y6 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (Y3 = Y1)) | (Y4 @ Y3 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y8 @ Y7)) | (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y6 @ Y8))))))))))))))))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2))))))))) = subrel)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y1 = Y2))))))) = rc)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = symm)) & (nfof = (^[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 @ Y4)) | (~ (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))) | (Y3 @ Y2 @ Y1)))) | (Y1 = Y2)) & (!! @ $i @ (^[Y3 : $i]: (~ (Y0 @ Y1 @ Y3)))))))))))) & (!! @ d_unsorted @ (^[Y0 : d_unsorted]: (!! @ d_unsorted @ (^[Y1 : d_unsorted]: (((d2unsorted @ Y1) = (d2unsorted @ Y0)) => (Y1 = Y0))))))) & (ind = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $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 @ Y6 @ Y8))) | (~ (Y5 @ Y8 @ Y7))))))))))) | (Y5 @ Y3 @ Y4))))))))) | (Y2 @ Y3))))))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y1) | (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = total)) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((Y0 @ (Y0 @ Y1)) = (Y0 @ Y1))))) = idem)) & (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y0 @ Y4 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y3 @ Y5 @ Y6)) | (Y4 @ Y5 @ Y6)))))))) | (~ (Y0 @ Y3 @ Y1 @ Y2)))))))))))))) & (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (Y2 = Y1)) | (~ (Y0 @ Y1 @ Y2)))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y1 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y4)) | (~ (Y0 @ Y3 @ Y4)))))))))))))))) = term)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y5 @ Y6) | (~ (Y0 @ Y5 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (Y4 @ Y5 @ Y6)) | (~ (Y4 @ Y5 @ Y7)))))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (~ (Y0 @ Y3 @ Y4))))))))))))))) = norm)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) = refl)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y3)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y3 @ Y2)))))))))) = trans)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((((((((((Y3 @ Y1 @ Y5) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y8 @ Y6)) | (~ (Y2 @ Y7 @ Y8))) | (Y2 @ Y7 @ Y6)))))))))) | (Y5 = Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y5 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y8 @ Y10) | (~ (Y7 @ Y9 @ Y10))) | (~ (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y8 @ Y9)) | (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y10 @ Y9) | (~ (Y7 @ Y10 @ Y8))) | (~ (Y7 @ Y8 @ Y9)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))) | (Y7 @ Y1 @ Y6)))))))))) | (Y2 @ Y5 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y2 @ Y6 @ Y7)))))))) | (~ (Y0 @ Y4 @ Y5))) | (~ (Y0 @ Y4 @ Y1))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y3 @ Y8 @ Y7) | (~ (Y3 @ Y6 @ Y7))) | (~ (Y3 @ Y8 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y3 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6)))))))))))))))))))) = lconfl)) & (po = (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y1 @ Y3))) | (~ (Y0 @ Y3 @ Y2))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y1 @ Y2))) | (Y2 = Y1))))))) & (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))))))) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y3 @ Y2))))))))) = infl)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) = inv)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y5))) | (Y4 @ Y7 @ Y5))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y5)) | (~ (Y4 @ Y6 @ Y7))) | (Y4 @ Y6 @ Y5)))))))))))))))) & (~ (Y1 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y6)) | (Y3 @ Y4 @ Y5)) | (~ (Y3 @ Y6 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y2 @ Y1)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y5) | (~ (Y3 @ Y6 @ Y5))) | (~ (Y3 @ Y4 @ Y6)))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))))))))))))) = join)) & (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1)))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (~ (Y0 @ Y1 @ Y2))))))) = innf)) & (trsc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y5)) | (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y6 @ Y4))))))))))) | (Y3 @ Y1 @ Y2)))) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y4 @ Y5))) | (Y3 @ Y6 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (Y3 @ Y2 @ Y1))))) | (Y1 = Y2))))))))))), 291.92/42.21 inference(binary_proxy_clausification,[status(thm)],[f32])). 291.92/42.21 thf(f32,plain,( 291.92/42.21 ($true = ((((((((((((((((((((((((sconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $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 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y4 @ Y7 @ Y6))))))) | (~ (Y0 @ Y2 @ Y3))) | ((~ (Y2 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y7)) | (Y6 @ Y9 @ Y8)) | (~ (Y6 @ Y7 @ Y8))))))))))) | (Y6 @ Y2 @ Y1))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8))))))) | (Y7 @ Y3 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (~ (Y7 @ Y8 @ Y10))) | (Y7 @ Y8 @ Y9))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y1 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (Y7 @ Y10 @ Y8)) | (~ (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 @ Y1 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y7 @ Y8)) | (Y5 @ Y6 @ Y8)) | (~ (Y5 @ Y6 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (Y3 = Y1)) | (Y4 @ Y3 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y8 @ Y7)) | (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y6 @ Y8))))))))))))))))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2))))))))) = subrel)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y1 = Y2))))))) = rc)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = symm)) & (nfof = (^[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 @ Y4)) | (~ (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))) | (Y3 @ Y2 @ Y1)))) | (Y1 = Y2)) & (!! @ $i @ (^[Y3 : $i]: (~ (Y0 @ Y1 @ Y3)))))))))))) & (!! @ d_unsorted @ (^[Y0 : d_unsorted]: (!! @ d_unsorted @ (^[Y1 : d_unsorted]: (((d2unsorted @ Y1) = (d2unsorted @ Y0)) => (Y1 = Y0))))))) & (ind = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $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 @ Y6 @ Y8))) | (~ (Y5 @ Y8 @ Y7))))))))))) | (Y5 @ Y3 @ Y4))))))))) | (Y2 @ Y3))))))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y1) | (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = total)) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((Y0 @ (Y0 @ Y1)) = (Y0 @ Y1))))) = idem)) & (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y0 @ Y4 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y3 @ Y5 @ Y6)) | (Y4 @ Y5 @ Y6)))))))) | (~ (Y0 @ Y3 @ Y1 @ Y2)))))))))))))) & (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (Y2 = Y1)) | (~ (Y0 @ Y1 @ Y2)))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y1 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y4)) | (~ (Y0 @ Y3 @ Y4)))))))))))))))) = term)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y5 @ Y6) | (~ (Y0 @ Y5 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (Y4 @ Y5 @ Y6)) | (~ (Y4 @ Y5 @ Y7)))))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (~ (Y0 @ Y3 @ Y4))))))))))))))) = norm)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) = refl)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y3)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y3 @ Y2)))))))))) = trans)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((((((((((Y3 @ Y1 @ Y5) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y8 @ Y6)) | (~ (Y2 @ Y7 @ Y8))) | (Y2 @ Y7 @ Y6)))))))))) | (Y5 = Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y5 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y8 @ Y10) | (~ (Y7 @ Y9 @ Y10))) | (~ (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y8 @ Y9)) | (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y10 @ Y9) | (~ (Y7 @ Y10 @ Y8))) | (~ (Y7 @ Y8 @ Y9)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))) | (Y7 @ Y1 @ Y6)))))))))) | (Y2 @ Y5 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y2 @ Y6 @ Y7)))))))) | (~ (Y0 @ Y4 @ Y5))) | (~ (Y0 @ Y4 @ Y1))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y3 @ Y8 @ Y7) | (~ (Y3 @ Y6 @ Y7))) | (~ (Y3 @ Y8 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y3 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6)))))))))))))))))))) = lconfl)) & (po = (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y1 @ Y3))) | (~ (Y0 @ Y3 @ Y2))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y1 @ Y2))) | (Y2 = Y1))))))) & (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))))))) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y3 @ Y2))))))))) = infl)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) = inv)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y5))) | (Y4 @ Y7 @ Y5))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y5)) | (~ (Y4 @ Y6 @ Y7))) | (Y4 @ Y6 @ Y5)))))))))))))))) & (~ (Y1 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y6)) | (Y3 @ Y4 @ Y5)) | (~ (Y3 @ Y6 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y2 @ Y1)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y5) | (~ (Y3 @ Y6 @ Y5))) | (~ (Y3 @ Y4 @ Y6)))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))))))))))))) = join)) & (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1)))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (~ (Y0 @ Y1 @ Y2))))))) = innf)) & (trsc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y5)) | (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y6 @ Y4))))))))))) | (Y3 @ Y1 @ Y2)))) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y4 @ Y5))) | (Y3 @ Y6 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (Y3 @ Y2 @ Y1))))) | (Y1 = Y2))))))))) & ((^[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 @ Y6 @ Y4)) | (Y3 @ Y5 @ Y4)) | (~ (Y3 @ Y5 @ Y6))))))))))) | (Y3 @ Y1 @ Y2)))))))))) = trc)))), 291.92/42.21 inference(binary_proxy_clausification,[status(thm)],[f29])). 291.92/42.21 thf(f29,plain,( 291.92/42.21 ((((((((((((((((((((((((((sconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $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 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y4 @ Y7 @ Y6))))))) | (~ (Y0 @ Y2 @ Y3))) | ((~ (Y2 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y7)) | (Y6 @ Y9 @ Y8)) | (~ (Y6 @ Y7 @ Y8))))))))))) | (Y6 @ Y2 @ Y1))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8))))))) | (Y7 @ Y3 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (~ (Y7 @ Y8 @ Y10))) | (Y7 @ Y8 @ Y9))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y1 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (Y7 @ Y10 @ Y8)) | (~ (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 @ Y1 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y7 @ Y8)) | (Y5 @ Y6 @ Y8)) | (~ (Y5 @ Y6 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (Y3 = Y1)) | (Y4 @ Y3 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y8 @ Y7)) | (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y6 @ Y8))))))))))))))))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2))))))))) = subrel)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y1 = Y2))))))) = rc)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = symm)) & (nfof = (^[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 @ Y4)) | (~ (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))) | (Y3 @ Y2 @ Y1)))) | (Y1 = Y2)) & (!! @ $i @ (^[Y3 : $i]: (~ (Y0 @ Y1 @ Y3)))))))))))) & (!! @ d_unsorted @ (^[Y0 : d_unsorted]: (!! @ d_unsorted @ (^[Y1 : d_unsorted]: (((d2unsorted @ Y1) = (d2unsorted @ Y0)) => (Y1 = Y0))))))) & (ind = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $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 @ Y6 @ Y8))) | (~ (Y5 @ Y8 @ Y7))))))))))) | (Y5 @ Y3 @ Y4))))))))) | (Y2 @ Y3))))))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y1) | (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = total)) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((Y0 @ (Y0 @ Y1)) = (Y0 @ Y1))))) = idem)) & (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y0 @ Y4 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y3 @ Y5 @ Y6)) | (Y4 @ Y5 @ Y6)))))))) | (~ (Y0 @ Y3 @ Y1 @ Y2)))))))))))))) & (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (Y2 = Y1)) | (~ (Y0 @ Y1 @ Y2)))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y1 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y4)) | (~ (Y0 @ Y3 @ Y4)))))))))))))))) = term)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y5 @ Y6) | (~ (Y0 @ Y5 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (Y4 @ Y5 @ Y6)) | (~ (Y4 @ Y5 @ Y7)))))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (~ (Y0 @ Y3 @ Y4))))))))))))))) = norm)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) = refl)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y3)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y3 @ Y2)))))))))) = trans)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((((((((((Y3 @ Y1 @ Y5) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y8 @ Y6)) | (~ (Y2 @ Y7 @ Y8))) | (Y2 @ Y7 @ Y6)))))))))) | (Y5 = Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y5 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y8 @ Y10) | (~ (Y7 @ Y9 @ Y10))) | (~ (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y8 @ Y9)) | (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y10 @ Y9) | (~ (Y7 @ Y10 @ Y8))) | (~ (Y7 @ Y8 @ Y9)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))) | (Y7 @ Y1 @ Y6)))))))))) | (Y2 @ Y5 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y2 @ Y6 @ Y7)))))))) | (~ (Y0 @ Y4 @ Y5))) | (~ (Y0 @ Y4 @ Y1))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y3 @ Y8 @ Y7) | (~ (Y3 @ Y6 @ Y7))) | (~ (Y3 @ Y8 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y3 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6)))))))))))))))))))) = lconfl)) & (po = (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y1 @ Y3))) | (~ (Y0 @ Y3 @ Y2))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y1 @ Y2))) | (Y2 = Y1))))))) & (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))))))) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y3 @ Y2))))))))) = infl)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) = inv)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y5))) | (Y4 @ Y7 @ Y5))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y5)) | (~ (Y4 @ Y6 @ Y7))) | (Y4 @ Y6 @ Y5)))))))))))))))) & (~ (Y1 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y6)) | (Y3 @ Y4 @ Y5)) | (~ (Y3 @ Y6 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y2 @ Y1)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y5) | (~ (Y3 @ Y6 @ Y5))) | (~ (Y3 @ Y4 @ Y6)))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))))))))))))) = join)) & (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1)))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (~ (Y0 @ Y1 @ Y2))))))) = innf)) & (trsc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y5)) | (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y6 @ Y4))))))))))) | (Y3 @ Y1 @ Y2)))) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y4 @ Y5))) | (Y3 @ Y6 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (Y3 @ Y2 @ Y1))))) | (Y1 = Y2))))))))) & ((^[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 @ Y6 @ Y4)) | (Y3 @ Y5 @ Y4)) | (~ (Y3 @ Y5 @ Y6))))))))))) | (Y3 @ Y1 @ Y2)))))))))) = trc)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2))))))) = sc)) = $true)), 291.92/42.21 inference(binary_proxy_clausification,[status(thm)],[f27])). 291.92/42.21 thf(f27,plain,( 291.92/42.21 (((((((((((((((((((((((((((sconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $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 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y4 @ Y7 @ Y6))))))) | (~ (Y0 @ Y2 @ Y3))) | ((~ (Y2 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y7)) | (Y6 @ Y9 @ Y8)) | (~ (Y6 @ Y7 @ Y8))))))))))) | (Y6 @ Y2 @ Y1))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8))))))) | (Y7 @ Y3 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (~ (Y7 @ Y8 @ Y10))) | (Y7 @ Y8 @ Y9))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y1 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (Y7 @ Y10 @ Y8)) | (~ (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 @ Y1 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y7 @ Y8)) | (Y5 @ Y6 @ Y8)) | (~ (Y5 @ Y6 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (Y3 = Y1)) | (Y4 @ Y3 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y8 @ Y7)) | (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y6 @ Y8))))))))))))))))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2))))))))) = subrel)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y1 = Y2))))))) = rc)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = symm)) & (nfof = (^[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 @ Y4)) | (~ (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))) | (Y3 @ Y2 @ Y1)))) | (Y1 = Y2)) & (!! @ $i @ (^[Y3 : $i]: (~ (Y0 @ Y1 @ Y3)))))))))))) & (!! @ d_unsorted @ (^[Y0 : d_unsorted]: (!! @ d_unsorted @ (^[Y1 : d_unsorted]: (((d2unsorted @ Y1) = (d2unsorted @ Y0)) => (Y1 = Y0))))))) & (ind = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $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 @ Y6 @ Y8))) | (~ (Y5 @ Y8 @ Y7))))))))))) | (Y5 @ Y3 @ Y4))))))))) | (Y2 @ Y3))))))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y1) | (Y0 @ Y2 @ Y1)) | (Y0 @ Y1 @ Y2))))))) = total)) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((Y0 @ (Y0 @ Y1)) = (Y0 @ Y1))))) = idem)) & (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y0 @ Y4 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y3 @ Y5 @ Y6)) | (Y4 @ Y5 @ Y6)))))))) | (~ (Y0 @ Y3 @ Y1 @ Y2)))))))))))))) & (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (Y2 = Y1)) | (~ (Y0 @ Y1 @ Y2)))))))))) & ((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y1 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y4)) | (~ (Y0 @ Y3 @ Y4)))))))))))))))) = term)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y5 @ Y6) | (~ (Y0 @ Y5 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (Y4 @ Y5 @ Y6)) | (~ (Y4 @ Y5 @ Y7)))))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (~ (Y0 @ Y3 @ Y4))))))))))))))) = norm)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) = refl)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y3)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y3 @ Y2)))))))))) = trans)) & ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((((((((((Y3 @ Y1 @ Y5) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y8 @ Y6)) | (~ (Y2 @ Y7 @ Y8))) | (Y2 @ Y7 @ Y6)))))))))) | (Y5 = Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y5 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y8 @ Y10) | (~ (Y7 @ Y9 @ Y10))) | (~ (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y8 @ Y9)) | (Y7 @ Y8 @ Y9))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y10 @ Y9) | (~ (Y7 @ Y10 @ Y8))) | (~ (Y7 @ Y8 @ Y9)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))) | (Y7 @ Y1 @ Y6)))))))))) | (Y2 @ Y5 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y2 @ Y6 @ Y7)))))))) | (~ (Y0 @ Y4 @ Y5))) | (~ (Y0 @ Y4 @ Y1))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y3 @ Y8 @ Y7) | (~ (Y3 @ Y6 @ Y7))) | (~ (Y3 @ Y8 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y3 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6)))))))))))))))))))) = lconfl)) & (po = (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y1 @ Y3))) | (~ (Y0 @ Y3 @ Y2))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y1 @ Y2))) | (Y2 = Y1))))))) & (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))))))) & ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y1 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y3 @ Y2))))))))) = infl)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) = inv)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y5))) | (Y4 @ Y7 @ Y5))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y5)) | (~ (Y4 @ Y6 @ Y7))) | (Y4 @ Y6 @ Y5)))))))))))))))) & (~ (Y1 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y6)) | (Y3 @ Y4 @ Y5)) | (~ (Y3 @ Y6 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y2 @ Y1)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y5) | (~ (Y3 @ Y6 @ Y5))) | (~ (Y3 @ Y4 @ Y6)))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))))))))))))) = join)) & (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1)))))))))) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (~ (Y0 @ Y1 @ Y2))))))) = innf)) & (trsc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y5)) | (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y6 @ Y4))))))))))) | (Y3 @ Y1 @ Y2)))) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y4 @ Y5))) | (Y3 @ Y6 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (Y3 @ Y2 @ Y1))))) | (Y1 = Y2))))))))) & ((^[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 @ Y6 @ Y4)) | (Y3 @ Y5 @ Y4)) | (~ (Y3 @ Y5 @ Y6))))))))))) | (Y3 @ Y1 @ Y2)))))))))) = trc)) & ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2))))))) = sc)) & ((^[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 @ Y4)) | (~ (Y3 @ Y5 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (Y3 @ Y1 @ Y2))))))))) = tc)) = $true)), 291.92/42.21 inference(binary_proxy_clausification,[status(thm)],[f24])). 291.92/42.21 thf(f368,plain,( 291.92/42.21 ~spl0_4), 291.92/42.21 inference(avatar_contradiction_clause,[status(thm)],[f367])). 291.92/42.21 thf(f367,plain,( 291.92/42.21 $false | ~spl0_4), 291.92/42.21 inference(trivial_inequality_removal,[status(thm)],[f363])). 291.92/42.21 thf(f363,plain,( 291.92/42.21 ($false = $true) | ~spl0_4), 291.92/42.21 inference(superposition,[status(thm)],[f362,f145])). 291.92/42.21 thf(f145,plain,( 291.92/42.21 ((confl @ sK2) = $false) | ~spl0_4), 291.92/42.21 inference(avatar_component_clause,[status(thm)],[f144])). 291.92/42.21 thf(f144,definition,( 291.92/42.21 spl0_4 <=> ((confl @ sK2) = $false)), 291.92/42.21 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])). 291.92/42.21 thf(f362,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : (((confl @ X1) = $true)) )), 291.92/42.21 inference(trivial_inequality_removal,[status(thm)],[f361])). 291.92/42.21 thf(f361,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : (((confl @ X1) = $true) | ($false = $true)) )), 291.92/42.21 inference(boolean_simplification,[status(thm)],[f360])). 291.92/42.21 thf(f360,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : (($false = ($true | ((~ ((d2unsorted @ d_unsorted_0) = (sK9 @ X1))) & (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y3))) | (Y0 @ Y1 @ Y3))))))))) | (Y0 @ (sK9 @ X1) @ (d2unsorted @ d_unsorted_0))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y2 @ Y1)) | (Y0 @ Y2 @ Y1)))))))))))))) | ((confl @ X1) = $true)) )), 291.92/42.21 inference(boolean_simplification,[status(thm)],[f359])). 291.92/42.21 thf(f359,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : (((($true | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK7 @ X1 @ Y1 @ Y2)) | (sK7 @ X1 @ Y0 @ Y2)) | (~ (sK7 @ X1 @ Y0 @ Y1))))))))))) | ((~ ((d2unsorted @ d_unsorted_0) = (sK9 @ X1))) & (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y3))) | (Y0 @ Y1 @ Y3))))))))) | (Y0 @ (sK9 @ X1) @ (d2unsorted @ d_unsorted_0))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y2 @ Y1)) | (Y0 @ Y2 @ Y1))))))))))))) = $false) | ((confl @ X1) = $true)) )), 291.92/42.21 inference(boolean_simplification,[status(thm)],[f358])). 291.92/42.21 thf(f358,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : (((confl @ X1) = $true) | ($false = ((($true | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK5 @ X1 @ Y0 @ Y2)) | (sK5 @ X1 @ Y1 @ Y2)) | (~ (sK5 @ X1 @ Y1 @ Y0))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK7 @ X1 @ Y1 @ Y2)) | (sK7 @ X1 @ Y0 @ Y2)) | (~ (sK7 @ X1 @ Y0 @ Y1))))))))))) | ((~ ((d2unsorted @ d_unsorted_0) = (sK9 @ X1))) & (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y3))) | (Y0 @ Y1 @ Y3))))))))) | (Y0 @ (sK9 @ X1) @ (d2unsorted @ d_unsorted_0))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y2 @ Y1)) | (Y0 @ Y2 @ Y1))))))))))))))) )), 291.92/42.21 inference(boolean_simplification,[status(thm)],[f357])). 291.92/42.21 thf(f357,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : (((((($true | (sK7 @ X1 @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK5 @ X1 @ Y0 @ Y2)) | (sK5 @ X1 @ Y1 @ Y2)) | (~ (sK5 @ X1 @ Y1 @ Y0))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK7 @ X1 @ Y1 @ Y2)) | (sK7 @ X1 @ Y0 @ Y2)) | (~ (sK7 @ X1 @ Y0 @ Y1))))))))))) | ((~ ((d2unsorted @ d_unsorted_0) = (sK9 @ X1))) & (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y3))) | (Y0 @ Y1 @ Y3))))))))) | (Y0 @ (sK9 @ X1) @ (d2unsorted @ d_unsorted_0))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y2 @ Y1)) | (Y0 @ Y2 @ Y1))))))))))))) = $false) | ((confl @ X1) = $true)) )), 291.92/42.21 inference(boolean_simplification,[status(thm)],[f356])). 291.92/42.21 thf(f356,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : ((((((($true | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (X1 @ Y0 @ Y1)) | (sK5 @ X1 @ Y0 @ Y1)))))))) | (sK7 @ X1 @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK5 @ X1 @ Y0 @ Y2)) | (sK5 @ X1 @ Y1 @ Y2)) | (~ (sK5 @ X1 @ Y1 @ Y0))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK7 @ X1 @ Y1 @ Y2)) | (sK7 @ X1 @ Y0 @ Y2)) | (~ (sK7 @ X1 @ Y0 @ Y1))))))))))) | ((~ ((d2unsorted @ d_unsorted_0) = (sK9 @ X1))) & (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y3))) | (Y0 @ Y1 @ Y3))))))))) | (Y0 @ (sK9 @ X1) @ (d2unsorted @ d_unsorted_0))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y2 @ Y1)) | (Y0 @ Y2 @ Y1))))))))))))) = $false) | ((confl @ X1) = $true)) )), 291.92/42.21 inference(boolean_simplification,[status(thm)],[f355])). 291.92/42.21 thf(f355,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : (((confl @ X1) = $true) | ($false = (((((($true | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK7 @ X1 @ Y1 @ Y0) | (~ (X1 @ Y1 @ Y0))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (X1 @ Y0 @ Y1)) | (sK5 @ X1 @ Y0 @ Y1)))))))) | (sK7 @ X1 @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK5 @ X1 @ Y0 @ Y2)) | (sK5 @ X1 @ Y1 @ Y2)) | (~ (sK5 @ X1 @ Y1 @ Y0))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK7 @ X1 @ Y1 @ Y2)) | (sK7 @ X1 @ Y0 @ Y2)) | (~ (sK7 @ X1 @ Y0 @ Y1))))))))))) | ((~ ((d2unsorted @ d_unsorted_0) = (sK9 @ X1))) & (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y3))) | (Y0 @ Y1 @ Y3))))))))) | (Y0 @ (sK9 @ X1) @ (d2unsorted @ d_unsorted_0))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y2 @ Y1)) | (Y0 @ Y2 @ Y1))))))))))))))) )), 291.92/42.21 inference(boolean_simplification,[status(thm)],[f354])). 291.92/42.21 thf(f354,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : (((confl @ X1) = $true) | ($false = ((((((($true | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y2 @ Y3)) | (~ (Y1 @ Y3 @ Y4))) | (Y1 @ Y2 @ Y4))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) | (~ (X1 @ Y3 @ Y2))))))))) | (Y1 @ (d2unsorted @ d_unsorted_0) @ Y0))))) | (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) | (~ (X1 @ Y3 @ Y2)))))))) | (Y1 @ (d2unsorted @ d_unsorted_0) @ Y0)) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y3)) | (Y1 @ Y2 @ Y3)) | (~ (Y1 @ Y2 @ Y4))))))))))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK7 @ X1 @ Y1 @ Y0) | (~ (X1 @ Y1 @ Y0))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (X1 @ Y0 @ Y1)) | (sK5 @ X1 @ Y0 @ Y1)))))))) | (sK7 @ X1 @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK5 @ X1 @ Y0 @ Y2)) | (sK5 @ X1 @ Y1 @ Y2)) | (~ (sK5 @ X1 @ Y1 @ Y0))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK7 @ X1 @ Y1 @ Y2)) | (sK7 @ X1 @ Y0 @ Y2)) | (~ (sK7 @ X1 @ Y0 @ Y1))))))))))) | ((~ ((d2unsorted @ d_unsorted_0) = (sK9 @ X1))) & (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y3))) | (Y0 @ Y1 @ Y3))))))))) | (Y0 @ (sK9 @ X1) @ (d2unsorted @ d_unsorted_0))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y2 @ Y1)) | (Y0 @ Y2 @ Y1))))))))))))))) )), 291.92/42.21 inference(boolean_simplification,[status(thm)],[f353])). 291.92/42.21 thf(f353,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : (((((((((($true | ((~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((Y0 @ (sK9 @ X1) @ (d2unsorted @ d_unsorted_0)) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y2 @ Y1)) | (Y0 @ Y2 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y1)) | (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y2 @ Y3)))))))))))))) & (~ ((sK9 @ X1) = (d2unsorted @ d_unsorted_0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y2 @ Y3)) | (~ (Y1 @ Y3 @ Y4))) | (Y1 @ Y2 @ Y4))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) | (~ (X1 @ Y3 @ Y2))))))))) | (Y1 @ (d2unsorted @ d_unsorted_0) @ Y0))))) | (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) | (~ (X1 @ Y3 @ Y2)))))))) | (Y1 @ (d2unsorted @ d_unsorted_0) @ Y0)) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y3)) | (Y1 @ Y2 @ Y3)) | (~ (Y1 @ Y2 @ Y4))))))))))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK7 @ X1 @ Y1 @ Y0) | (~ (X1 @ Y1 @ Y0))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (X1 @ Y0 @ Y1)) | (sK5 @ X1 @ Y0 @ Y1)))))))) | (sK7 @ X1 @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK5 @ X1 @ Y0 @ Y2)) | (sK5 @ X1 @ Y1 @ Y2)) | (~ (sK5 @ X1 @ Y1 @ Y0))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK7 @ X1 @ Y1 @ Y2)) | (sK7 @ X1 @ Y0 @ Y2)) | (~ (sK7 @ X1 @ Y0 @ Y1))))))))))) | ((~ ((d2unsorted @ d_unsorted_0) = (sK9 @ X1))) & (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y3))) | (Y0 @ Y1 @ Y3))))))))) | (Y0 @ (sK9 @ X1) @ (d2unsorted @ d_unsorted_0))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y2 @ Y1)) | (Y0 @ Y2 @ Y1))))))))))))) = $false) | ((confl @ X1) = $true)) )), 291.92/42.21 inference(boolean_simplification,[status(thm)],[f352])). 291.92/42.21 thf(f352,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : (($false = ((((((((((sK5 @ X1 @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0)) | $true) | ((~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((Y0 @ (sK9 @ X1) @ (d2unsorted @ d_unsorted_0)) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y2 @ Y1)) | (Y0 @ Y2 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y1)) | (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y2 @ Y3)))))))))))))) & (~ ((sK9 @ X1) = (d2unsorted @ d_unsorted_0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y2 @ Y3)) | (~ (Y1 @ Y3 @ Y4))) | (Y1 @ Y2 @ Y4))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) | (~ (X1 @ Y3 @ Y2))))))))) | (Y1 @ (d2unsorted @ d_unsorted_0) @ Y0))))) | (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) | (~ (X1 @ Y3 @ Y2)))))))) | (Y1 @ (d2unsorted @ d_unsorted_0) @ Y0)) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y3)) | (Y1 @ Y2 @ Y3)) | (~ (Y1 @ Y2 @ Y4))))))))))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK7 @ X1 @ Y1 @ Y0) | (~ (X1 @ Y1 @ Y0))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (X1 @ Y0 @ Y1)) | (sK5 @ X1 @ Y0 @ Y1)))))))) | (sK7 @ X1 @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK5 @ X1 @ Y0 @ Y2)) | (sK5 @ X1 @ Y1 @ Y2)) | (~ (sK5 @ X1 @ Y1 @ Y0))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK7 @ X1 @ Y1 @ Y2)) | (sK7 @ X1 @ Y0 @ Y2)) | (~ (sK7 @ X1 @ Y0 @ Y1))))))))))) | ((~ ((d2unsorted @ d_unsorted_0) = (sK9 @ X1))) & (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y3))) | (Y0 @ Y1 @ Y3))))))))) | (Y0 @ (sK9 @ X1) @ (d2unsorted @ d_unsorted_0))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y2 @ Y1)) | (Y0 @ Y2 @ Y1)))))))))))))) | ((confl @ X1) = $true)) )), 291.92/42.21 inference(boolean_simplification,[status(thm)],[f351])). 291.92/42.21 thf(f351,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : (((confl @ X1) = $true) | (((((((((((sK5 @ X1 @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0)) | ((d2unsorted @ d_unsorted_0) = (d2unsorted @ d_unsorted_0))) | ((~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((Y0 @ (sK9 @ X1) @ (d2unsorted @ d_unsorted_0)) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y2 @ Y1)) | (Y0 @ Y2 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y1)) | (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y2 @ Y3)))))))))))))) & (~ ((sK9 @ X1) = (d2unsorted @ d_unsorted_0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y2 @ Y3)) | (~ (Y1 @ Y3 @ Y4))) | (Y1 @ Y2 @ Y4))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) | (~ (X1 @ Y3 @ Y2))))))))) | (Y1 @ (d2unsorted @ d_unsorted_0) @ Y0))))) | (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) | (~ (X1 @ Y3 @ Y2)))))))) | (Y1 @ (d2unsorted @ d_unsorted_0) @ Y0)) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y3)) | (Y1 @ Y2 @ Y3)) | (~ (Y1 @ Y2 @ Y4))))))))))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK7 @ X1 @ Y1 @ Y0) | (~ (X1 @ Y1 @ Y0))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (X1 @ Y0 @ Y1)) | (sK5 @ X1 @ Y0 @ Y1)))))))) | (sK7 @ X1 @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK5 @ X1 @ Y0 @ Y2)) | (sK5 @ X1 @ Y1 @ Y2)) | (~ (sK5 @ X1 @ Y1 @ Y0))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK7 @ X1 @ Y1 @ Y2)) | (sK7 @ X1 @ Y0 @ Y2)) | (~ (sK7 @ X1 @ Y0 @ Y1))))))))))) | ((~ ((d2unsorted @ d_unsorted_0) = (sK9 @ X1))) & (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y3))) | (Y0 @ Y1 @ Y3))))))))) | (Y0 @ (sK9 @ X1) @ (d2unsorted @ d_unsorted_0))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y2 @ Y1)) | (Y0 @ Y2 @ Y1))))))))))))) = $false)) )), 291.92/42.21 inference(forward_demodulation,[status(thm)],[f350,f139])). 291.92/42.21 thf(f350,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : (($false = ((((((((((sK5 @ X1 @ (d2unsorted @ d_unsorted_0) @ (sK10 @ X1)) | ((sK10 @ X1) = (d2unsorted @ d_unsorted_0))) | ((~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((Y0 @ (sK9 @ X1) @ (d2unsorted @ d_unsorted_0)) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y2 @ Y1)) | (Y0 @ Y2 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y1)) | (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y2 @ Y3)))))))))))))) & (~ ((sK9 @ X1) = (d2unsorted @ d_unsorted_0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y2 @ Y3)) | (~ (Y1 @ Y3 @ Y4))) | (Y1 @ Y2 @ Y4))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) | (~ (X1 @ Y3 @ Y2))))))))) | (Y1 @ (sK10 @ X1) @ Y0))))) | (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) | (~ (X1 @ Y3 @ Y2)))))))) | (Y1 @ (d2unsorted @ d_unsorted_0) @ Y0)) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y3)) | (Y1 @ Y2 @ Y3)) | (~ (Y1 @ Y2 @ Y4))))))))))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK7 @ X1 @ Y1 @ Y0) | (~ (X1 @ Y1 @ Y0))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (X1 @ Y0 @ Y1)) | (sK5 @ X1 @ Y0 @ Y1)))))))) | (sK7 @ X1 @ (sK10 @ X1) @ (d2unsorted @ d_unsorted_0))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK5 @ X1 @ Y0 @ Y2)) | (sK5 @ X1 @ Y1 @ Y2)) | (~ (sK5 @ X1 @ Y1 @ Y0))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK7 @ X1 @ Y1 @ Y2)) | (sK7 @ X1 @ Y0 @ Y2)) | (~ (sK7 @ X1 @ Y0 @ Y1))))))))))) | ((~ ((sK10 @ X1) = (sK9 @ X1))) & (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y3))) | (Y0 @ Y1 @ Y3))))))))) | (Y0 @ (sK9 @ X1) @ (sK10 @ X1))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y2 @ Y1)) | (Y0 @ Y2 @ Y1)))))))))))))) | ((confl @ X1) = $true)) )), 291.92/42.21 inference(forward_demodulation,[status(thm)],[f347,f139])). 291.92/42.21 thf(f347,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : ((((((((((((sK5 @ X1 @ (sK8 @ X1) @ (sK10 @ X1)) | ((sK10 @ X1) = (sK8 @ X1))) | ((~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((Y0 @ (sK9 @ X1) @ (sK8 @ X1)) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y2 @ Y1)) | (Y0 @ Y2 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y1)) | (Y0 @ Y2 @ Y1)) | (~ (Y0 @ Y2 @ Y3)))))))))))))) & (~ ((sK9 @ X1) = (sK8 @ X1))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y2 @ Y3)) | (~ (Y1 @ Y3 @ Y4))) | (Y1 @ Y2 @ Y4))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) | (~ (X1 @ Y3 @ Y2))))))))) | (Y1 @ (sK10 @ X1) @ Y0))))) | (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) | (~ (X1 @ Y3 @ Y2)))))))) | (Y1 @ (sK8 @ X1) @ Y0)) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y3)) | (Y1 @ Y2 @ Y3)) | (~ (Y1 @ Y2 @ Y4))))))))))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK7 @ X1 @ Y1 @ Y0) | (~ (X1 @ Y1 @ Y0))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (X1 @ Y0 @ Y1)) | (sK5 @ X1 @ Y0 @ Y1)))))))) | (sK7 @ X1 @ (sK10 @ X1) @ (sK8 @ X1))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK5 @ X1 @ Y0 @ Y2)) | (sK5 @ X1 @ Y1 @ Y2)) | (~ (sK5 @ X1 @ Y1 @ Y0))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK7 @ X1 @ Y1 @ Y2)) | (sK7 @ X1 @ Y0 @ Y2)) | (~ (sK7 @ X1 @ Y0 @ Y1))))))))))) | ((~ ((sK10 @ X1) = (sK9 @ X1))) & (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y3))) | (Y0 @ Y1 @ Y3))))))))) | (Y0 @ (sK9 @ X1) @ (sK10 @ X1))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y2 @ Y1)) | (Y0 @ Y2 @ Y1))))))))))))) = $false) | ((confl @ X1) = $true)) )), 291.92/42.21 inference(beta_eta_normalization,[status(thm)],[f344])). 291.92/42.21 thf(f344,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : ((((^[Y0 : $i]: ((((((((((sK5 @ X1 @ (sK8 @ X1) @ Y0) | (Y0 = (sK8 @ X1))) | ((~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((Y1 @ (sK9 @ X1) @ (sK8 @ X1)) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y2)) | (Y1 @ Y3 @ Y2)) | (~ (Y1 @ Y3 @ Y4)))))))))))))) & (~ ((sK9 @ X1) = (sK8 @ X1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y3 @ Y4)) | (~ (Y2 @ Y4 @ Y5))) | (Y2 @ Y3 @ Y5))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) | (~ (X1 @ Y4 @ Y3))))))))) | (Y2 @ Y0 @ Y1))))) | (~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) | (~ (X1 @ Y4 @ Y3)))))))) | (Y2 @ (sK8 @ X1) @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y5 @ Y4)) | (Y2 @ Y3 @ Y4)) | (~ (Y2 @ Y3 @ Y5))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK7 @ X1 @ Y2 @ Y1) | (~ (X1 @ Y2 @ Y1))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y1 @ Y2)) | (sK5 @ X1 @ Y1 @ Y2)))))))) | (sK7 @ X1 @ Y0 @ (sK8 @ X1))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (sK5 @ X1 @ Y1 @ Y3)) | (sK5 @ X1 @ Y2 @ Y3)) | (~ (sK5 @ X1 @ Y2 @ Y1))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (sK7 @ X1 @ Y2 @ Y3)) | (sK7 @ X1 @ Y1 @ Y3)) | (~ (sK7 @ X1 @ Y1 @ Y2))))))))))) | ((~ (Y0 = (sK9 @ X1))) & (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y2 @ Y3)) | (~ (Y1 @ Y3 @ Y4))) | (Y1 @ Y2 @ Y4))))))))) | (Y1 @ (sK9 @ X1) @ Y0)) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2)))))))))))))) @ (sK10 @ X1)) = $false) | ((confl @ X1) = $true)) )), 291.92/42.21 inference(sigma_clausification,[status(thm)],[f339])). 291.92/42.21 thf(f339,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((((((((((sK5 @ X1 @ (sK8 @ X1) @ Y0) | (Y0 = (sK8 @ X1))) | ((~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((Y1 @ (sK9 @ X1) @ (sK8 @ X1)) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y2)) | (Y1 @ Y3 @ Y2)) | (~ (Y1 @ Y3 @ Y4)))))))))))))) & (~ ((sK9 @ X1) = (sK8 @ X1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y3 @ Y4)) | (~ (Y2 @ Y4 @ Y5))) | (Y2 @ Y3 @ Y5))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) | (~ (X1 @ Y4 @ Y3))))))))) | (Y2 @ Y0 @ Y1))))) | (~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) | (~ (X1 @ Y4 @ Y3)))))))) | (Y2 @ (sK8 @ X1) @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y5 @ Y4)) | (Y2 @ Y3 @ Y4)) | (~ (Y2 @ Y3 @ Y5))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK7 @ X1 @ Y2 @ Y1) | (~ (X1 @ Y2 @ Y1))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y1 @ Y2)) | (sK5 @ X1 @ Y1 @ Y2)))))))) | (sK7 @ X1 @ Y0 @ (sK8 @ X1))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (sK5 @ X1 @ Y1 @ Y3)) | (sK5 @ X1 @ Y2 @ Y3)) | (~ (sK5 @ X1 @ Y2 @ Y1))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (sK7 @ X1 @ Y2 @ Y3)) | (sK7 @ X1 @ Y1 @ Y3)) | (~ (sK7 @ X1 @ Y1 @ Y2))))))))))) | ((~ (Y0 = (sK9 @ X1))) & (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y2 @ Y3)) | (~ (Y1 @ Y3 @ Y4))) | (Y1 @ Y2 @ Y4))))))))) | (Y1 @ (sK9 @ X1) @ Y0)) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2))))))))))))))) = $false) | ((confl @ X1) = $true)) )), 291.92/42.21 inference(beta_eta_normalization,[status(thm)],[f335])). 291.92/42.21 thf(f335,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((((((((sK5 @ X1 @ (sK8 @ X1) @ Y1) | (Y1 = (sK8 @ X1))) | ((~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ Y0 @ (sK8 @ X1)) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (X1 @ Y4 @ Y3)) | (Y2 @ Y4 @ Y3)))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y5 @ Y3)) | (Y2 @ Y4 @ Y3)) | (~ (Y2 @ Y4 @ Y5)))))))))))))) & (~ (Y0 = (sK8 @ X1))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y5)) | (~ (Y3 @ Y5 @ Y6))) | (Y3 @ Y4 @ Y6))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (X1 @ Y5 @ Y4))))))))) | (Y3 @ Y1 @ Y2))))) | (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (X1 @ Y5 @ Y4)))))))) | (Y3 @ (sK8 @ X1) @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (Y3 @ Y4 @ Y5)) | (~ (Y3 @ Y4 @ Y6))))))))))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK7 @ X1 @ Y3 @ Y2) | (~ (X1 @ Y3 @ Y2))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y2 @ Y3)) | (sK5 @ X1 @ Y2 @ Y3)))))))) | (sK7 @ X1 @ Y1 @ (sK8 @ X1))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (sK5 @ X1 @ Y2 @ Y4)) | (sK5 @ X1 @ Y3 @ Y4)) | (~ (sK5 @ X1 @ Y3 @ Y2))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (sK7 @ X1 @ Y3 @ Y4)) | (sK7 @ X1 @ Y2 @ Y4)) | (~ (sK7 @ X1 @ Y2 @ Y3))))))))))) | ((~ (Y1 = Y0)) & (~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y3 @ Y4)) | (~ (Y2 @ Y4 @ Y5))) | (Y2 @ Y3 @ Y5))))))))) | (Y2 @ Y0 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (X1 @ Y4 @ Y3)) | (Y2 @ Y4 @ Y3)))))))))))))))) @ (sK9 @ X1)) = $false) | ((confl @ X1) = $true)) )), 291.92/42.21 inference(sigma_clausification,[status(thm)],[f333])). 291.92/42.21 thf(f333,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((((((((sK5 @ X1 @ (sK8 @ X1) @ Y1) | (Y1 = (sK8 @ X1))) | ((~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ Y0 @ (sK8 @ X1)) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (X1 @ Y4 @ Y3)) | (Y2 @ Y4 @ Y3)))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y5 @ Y3)) | (Y2 @ Y4 @ Y3)) | (~ (Y2 @ Y4 @ Y5)))))))))))))) & (~ (Y0 = (sK8 @ X1))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y5)) | (~ (Y3 @ Y5 @ Y6))) | (Y3 @ Y4 @ Y6))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (X1 @ Y5 @ Y4))))))))) | (Y3 @ Y1 @ Y2))))) | (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (X1 @ Y5 @ Y4)))))))) | (Y3 @ (sK8 @ X1) @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (Y3 @ Y4 @ Y5)) | (~ (Y3 @ Y4 @ Y6))))))))))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK7 @ X1 @ Y3 @ Y2) | (~ (X1 @ Y3 @ Y2))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y2 @ Y3)) | (sK5 @ X1 @ Y2 @ Y3)))))))) | (sK7 @ X1 @ Y1 @ (sK8 @ X1))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (sK5 @ X1 @ Y2 @ Y4)) | (sK5 @ X1 @ Y3 @ Y4)) | (~ (sK5 @ X1 @ Y3 @ Y2))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (sK7 @ X1 @ Y3 @ Y4)) | (sK7 @ X1 @ Y2 @ Y4)) | (~ (sK7 @ X1 @ Y2 @ Y3))))))))))) | ((~ (Y1 = Y0)) & (~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y3 @ Y4)) | (~ (Y2 @ Y4 @ Y5))) | (Y2 @ Y3 @ Y5))))))))) | (Y2 @ Y0 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (X1 @ Y4 @ Y3)) | (Y2 @ Y4 @ Y3))))))))))))))))) = $false) | ((confl @ X1) = $true)) )), 291.92/42.21 inference(beta_eta_normalization,[status(thm)],[f329])). 291.92/42.21 thf(f329,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : (($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((((((((((sK5 @ X1 @ Y0 @ Y2) | (Y2 = Y0)) | ((~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y0) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (X1 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (Y3 @ Y5 @ Y4)) | (~ (Y3 @ Y5 @ Y6)))))))))))))) & (~ (Y1 = Y0)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y5 @ Y6)) | (~ (Y4 @ Y6 @ Y7))) | (Y4 @ Y5 @ Y7))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (X1 @ Y6 @ Y5))))))))) | (Y4 @ Y2 @ Y3))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (X1 @ Y6 @ Y5)))))))) | (Y4 @ Y0 @ Y3)) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (Y4 @ Y5 @ Y6)) | (~ (Y4 @ Y5 @ Y7))))))))))))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK7 @ X1 @ Y4 @ Y3) | (~ (X1 @ Y4 @ Y3))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (X1 @ Y3 @ Y4)) | (sK5 @ X1 @ Y3 @ Y4)))))))) | (sK7 @ X1 @ Y2 @ Y0)) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (sK5 @ X1 @ Y3 @ Y5)) | (sK5 @ X1 @ Y4 @ Y5)) | (~ (sK5 @ X1 @ Y4 @ Y3))))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (sK7 @ X1 @ Y4 @ Y5)) | (sK7 @ X1 @ Y3 @ Y5)) | (~ (sK7 @ X1 @ Y3 @ Y4))))))))))) | ((~ (Y2 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y5)) | (~ (Y3 @ Y5 @ Y6))) | (Y3 @ Y4 @ Y6))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (X1 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))))))))))))) @ (sK8 @ X1))) | ((confl @ X1) = $true)) )), 291.92/42.21 inference(sigma_clausification,[status(thm)],[f301])). 291.92/42.21 thf(f301,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((((((((((sK5 @ X1 @ Y0 @ Y2) | (Y2 = Y0)) | ((~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y0) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (X1 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (Y3 @ Y5 @ Y4)) | (~ (Y3 @ Y5 @ Y6)))))))))))))) & (~ (Y1 = Y0)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y5 @ Y6)) | (~ (Y4 @ Y6 @ Y7))) | (Y4 @ Y5 @ Y7))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (X1 @ Y6 @ Y5))))))))) | (Y4 @ Y2 @ Y3))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (X1 @ Y6 @ Y5)))))))) | (Y4 @ Y0 @ Y3)) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (Y4 @ Y5 @ Y6)) | (~ (Y4 @ Y5 @ Y7))))))))))))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK7 @ X1 @ Y4 @ Y3) | (~ (X1 @ Y4 @ Y3))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (X1 @ Y3 @ Y4)) | (sK5 @ X1 @ Y3 @ Y4)))))))) | (sK7 @ X1 @ Y2 @ Y0)) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (sK5 @ X1 @ Y3 @ Y5)) | (sK5 @ X1 @ Y4 @ Y5)) | (~ (sK5 @ X1 @ Y4 @ Y3))))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (sK7 @ X1 @ Y4 @ Y5)) | (sK7 @ X1 @ Y3 @ Y5)) | (~ (sK7 @ X1 @ Y3 @ Y4))))))))))) | ((~ (Y2 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y4 @ Y5)) | (~ (Y3 @ Y5 @ Y6))) | (Y3 @ Y4 @ Y6))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (X1 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))))))))))))))) | ((confl @ X1) = $true)) )), 291.92/42.21 inference(beta_eta_normalization,[status(thm)],[f297])). 291.92/42.21 thf(f297,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : (((confl @ X1) = $true) | ($false = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((((((((((sK5 @ X1 @ Y1 @ Y3) | (Y3 = Y1)) | ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y1) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (X1 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y5)) | (Y4 @ Y6 @ Y5)) | (~ (Y4 @ Y6 @ Y7)))))))))))))) & (~ (Y2 = Y1)))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y6 @ Y7)) | (~ (Y5 @ Y7 @ Y8))) | (Y5 @ Y6 @ Y8))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (X1 @ Y7 @ Y6))))))))) | (Y5 @ Y3 @ Y4))))) | (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (X1 @ Y7 @ Y6)))))))) | (Y5 @ Y1 @ Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y8 @ Y7)) | (Y5 @ Y6 @ Y7)) | (~ (Y5 @ Y6 @ Y8))))))))))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y0 @ Y5 @ Y4) | (~ (X1 @ Y5 @ Y4))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (X1 @ Y4 @ Y5)) | (sK5 @ X1 @ Y4 @ Y5)))))))) | (Y0 @ Y3 @ Y1)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (sK5 @ X1 @ Y4 @ Y6)) | (sK5 @ X1 @ Y5 @ Y6)) | (~ (sK5 @ X1 @ Y5 @ Y4))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y0 @ Y5 @ Y6)) | (Y0 @ Y4 @ Y6)) | (~ (Y0 @ Y4 @ Y5))))))))))) | ((~ (Y3 = Y2)) & (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y5 @ Y6)) | (~ (Y4 @ Y6 @ Y7))) | (Y4 @ Y5 @ Y7))))))))) | (Y4 @ Y2 @ Y3)) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (X1 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))))))))))))))) @ (sK7 @ X1)))) )), 291.92/42.21 inference(sigma_clausification,[status(thm)],[f172])). 291.92/42.21 thf(f172,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : (($false = (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((((((((((sK5 @ X1 @ Y1 @ Y3) | (Y3 = Y1)) | ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y1) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (X1 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y7 @ Y5)) | (Y4 @ Y6 @ Y5)) | (~ (Y4 @ Y6 @ Y7)))))))))))))) & (~ (Y2 = Y1)))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y6 @ Y7)) | (~ (Y5 @ Y7 @ Y8))) | (Y5 @ Y6 @ Y8))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (X1 @ Y7 @ Y6))))))))) | (Y5 @ Y3 @ Y4))))) | (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (X1 @ Y7 @ Y6)))))))) | (Y5 @ Y1 @ Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y8 @ Y7)) | (Y5 @ Y6 @ Y7)) | (~ (Y5 @ Y6 @ Y8))))))))))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y0 @ Y5 @ Y4) | (~ (X1 @ Y5 @ Y4))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (X1 @ Y4 @ Y5)) | (sK5 @ X1 @ Y4 @ Y5)))))))) | (Y0 @ Y3 @ Y1)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (sK5 @ X1 @ Y4 @ Y6)) | (sK5 @ X1 @ Y5 @ Y6)) | (~ (sK5 @ X1 @ Y5 @ Y4))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y0 @ Y5 @ Y6)) | (Y0 @ Y4 @ Y6)) | (~ (Y0 @ Y4 @ Y5))))))))))) | ((~ (Y3 = Y2)) & (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y5 @ Y6)) | (~ (Y4 @ Y6 @ Y7))) | (Y4 @ Y5 @ Y7))))))))) | (Y4 @ Y2 @ Y3)) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (X1 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))))))))))))))))) | ((confl @ X1) = $true)) )), 291.92/42.21 inference(beta_eta_normalization,[status(thm)],[f171])). 291.92/42.21 thf(f171,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : (($false = ((^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((((((((((Y0 @ Y2 @ Y4) | (Y4 = Y2)) | ((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y3 @ Y2) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (X1 @ Y7 @ Y6)) | (Y5 @ Y7 @ Y6)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y8 @ Y6)) | (Y5 @ Y7 @ Y6)) | (~ (Y5 @ Y7 @ Y8)))))))))))))) & (~ (Y3 = Y2)))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y7 @ Y8)) | (~ (Y6 @ Y8 @ Y9))) | (Y6 @ Y7 @ Y9))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y8 @ Y7) | (~ (X1 @ Y8 @ Y7))))))))) | (Y6 @ Y4 @ Y5))))) | (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y8 @ Y7) | (~ (X1 @ Y8 @ Y7)))))))) | (Y6 @ Y2 @ Y5)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y8)) | (Y6 @ Y7 @ Y8)) | (~ (Y6 @ Y7 @ Y9))))))))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y1 @ Y6 @ Y5) | (~ (X1 @ Y6 @ Y5))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (X1 @ Y5 @ Y6)) | (Y0 @ Y5 @ Y6)))))))) | (Y1 @ Y4 @ Y2)) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y0 @ Y5 @ Y7)) | (Y0 @ Y6 @ Y7)) | (~ (Y0 @ Y6 @ Y5))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y1 @ Y6 @ Y7)) | (Y1 @ Y5 @ Y7)) | (~ (Y1 @ Y5 @ Y6))))))))))) | ((~ (Y4 = Y3)) & (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y6 @ Y7)) | (~ (Y5 @ Y7 @ Y8))) | (Y5 @ Y6 @ Y8))))))))) | (Y5 @ Y3 @ Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (X1 @ Y7 @ Y6)) | (Y5 @ Y7 @ Y6)))))))))))))))))))))) @ (sK5 @ X1))) | ((confl @ X1) = $true)) )), 291.92/42.21 inference(sigma_clausification,[status(thm)],[f167])). 291.92/42.21 thf(f167,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : (($false = (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((((((((((Y0 @ Y2 @ Y4) | (Y4 = Y2)) | ((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y3 @ Y2) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (X1 @ Y7 @ Y6)) | (Y5 @ Y7 @ Y6)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y8 @ Y6)) | (Y5 @ Y7 @ Y6)) | (~ (Y5 @ Y7 @ Y8)))))))))))))) & (~ (Y3 = Y2)))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y7 @ Y8)) | (~ (Y6 @ Y8 @ Y9))) | (Y6 @ Y7 @ Y9))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y8 @ Y7) | (~ (X1 @ Y8 @ Y7))))))))) | (Y6 @ Y4 @ Y5))))) | (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y8 @ Y7) | (~ (X1 @ Y8 @ Y7)))))))) | (Y6 @ Y2 @ Y5)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y8)) | (Y6 @ Y7 @ Y8)) | (~ (Y6 @ Y7 @ Y9))))))))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y1 @ Y6 @ Y5) | (~ (X1 @ Y6 @ Y5))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (X1 @ Y5 @ Y6)) | (Y0 @ Y5 @ Y6)))))))) | (Y1 @ Y4 @ Y2)) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y0 @ Y5 @ Y7)) | (Y0 @ Y6 @ Y7)) | (~ (Y0 @ Y6 @ Y5))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y1 @ Y6 @ Y7)) | (Y1 @ Y5 @ Y7)) | (~ (Y1 @ Y5 @ Y6))))))))))) | ((~ (Y4 = Y3)) & (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y6 @ Y7)) | (~ (Y5 @ Y7 @ Y8))) | (Y5 @ Y6 @ Y8))))))))) | (Y5 @ Y3 @ Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (X1 @ Y7 @ Y6)) | (Y5 @ Y7 @ Y6)))))))))))))))))))))))) | ((confl @ X1) = $true)) )), 291.92/42.21 inference(binary_proxy_clausification,[status(thm)],[f166])). 291.92/42.21 thf(f166,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : (((confl @ X1) = (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((((((((((Y0 @ Y2 @ Y4) | (Y4 = Y2)) | ((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y3 @ Y2) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (X1 @ Y7 @ Y6)) | (Y5 @ Y7 @ Y6)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y8 @ Y6)) | (Y5 @ Y7 @ Y6)) | (~ (Y5 @ Y7 @ Y8)))))))))))))) & (~ (Y3 = Y2)))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y7 @ Y8)) | (~ (Y6 @ Y8 @ Y9))) | (Y6 @ Y7 @ Y9))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y8 @ Y7) | (~ (X1 @ Y8 @ Y7))))))))) | (Y6 @ Y4 @ Y5))))) | (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y8 @ Y7) | (~ (X1 @ Y8 @ Y7)))))))) | (Y6 @ Y2 @ Y5)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y8)) | (Y6 @ Y7 @ Y8)) | (~ (Y6 @ Y7 @ Y9))))))))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y1 @ Y6 @ Y5) | (~ (X1 @ Y6 @ Y5))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (X1 @ Y5 @ Y6)) | (Y0 @ Y5 @ Y6)))))))) | (Y1 @ Y4 @ Y2)) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y0 @ Y5 @ Y7)) | (Y0 @ Y6 @ Y7)) | (~ (Y0 @ Y6 @ Y5))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y1 @ Y6 @ Y7)) | (Y1 @ Y5 @ Y7)) | (~ (Y1 @ Y5 @ Y6))))))))))) | ((~ (Y4 = Y3)) & (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y6 @ Y7)) | (~ (Y5 @ Y7 @ Y8))) | (Y5 @ Y6 @ Y8))))))))) | (Y5 @ Y3 @ Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (X1 @ Y7 @ Y6)) | (Y5 @ Y7 @ Y6))))))))))))))))))))))))) )), 291.92/42.21 inference(beta_eta_normalization,[status(thm)],[f165])). 291.92/42.21 thf(f165,plain,( 291.92/42.21 ( ! [X1 : $i > $i > $o] : (((confl @ X1) = ((^[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 : $i]: ((((((((((Y1 @ Y3 @ Y5) | (Y5 = Y3)) | ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y4 @ Y3) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7)))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y7)) | (Y6 @ Y8 @ Y7)) | (~ (Y6 @ Y8 @ Y9)))))))))))))) & (~ (Y4 = Y3)))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y8 @ Y9)) | (~ (Y7 @ Y9 @ Y10))) | (Y7 @ Y8 @ Y10))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8))))))))) | (Y7 @ Y5 @ Y6))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8)))))))) | (Y7 @ Y3 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (Y7 @ Y8 @ Y9)) | (~ (Y7 @ Y8 @ Y10))))))))))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y2 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y1 @ Y6 @ Y7)))))))) | (Y2 @ Y5 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y1 @ Y6 @ Y8)) | (Y1 @ Y7 @ Y8)) | (~ (Y1 @ Y7 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y7 @ Y8)) | (Y2 @ Y6 @ Y8)) | (~ (Y2 @ Y6 @ Y7))))))))))) | ((~ (Y5 = Y4)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y7 @ Y8)) | (~ (Y6 @ Y8 @ Y9))) | (Y6 @ Y7 @ Y9))))))))) | (Y6 @ Y4 @ Y5)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7)))))))))))))))))))))))) @ X1))) )), 291.92/42.21 inference(argument_congruence,[status(thm)],[f104])). 291.92/42.21 thf(f104,plain,( 291.92/42.21 (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 : $i]: ((((((((((Y1 @ Y3 @ Y5) | (Y5 = Y3)) | ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y4 @ Y3) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7)))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y7)) | (Y6 @ Y8 @ Y7)) | (~ (Y6 @ Y8 @ Y9)))))))))))))) & (~ (Y4 = Y3)))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y8 @ Y9)) | (~ (Y7 @ Y9 @ Y10))) | (Y7 @ Y8 @ Y10))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8))))))))) | (Y7 @ Y5 @ Y6))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8)))))))) | (Y7 @ Y3 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (Y7 @ Y8 @ Y9)) | (~ (Y7 @ Y8 @ Y10))))))))))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y2 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y1 @ Y6 @ Y7)))))))) | (Y2 @ Y5 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y1 @ Y6 @ Y8)) | (Y1 @ Y7 @ Y8)) | (~ (Y1 @ Y7 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y7 @ Y8)) | (Y2 @ Y6 @ Y8)) | (~ (Y2 @ Y6 @ Y7))))))))))) | ((~ (Y5 = Y4)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y7 @ Y8)) | (~ (Y6 @ Y8 @ Y9))) | (Y6 @ Y7 @ Y9))))))))) | (Y6 @ Y4 @ Y5)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7)))))))))))))))))))))))))), 291.92/42.21 inference(equality_proxy_clausification,[status(thm)],[f14])). 291.92/42.21 thf(f14,plain,( 291.92/42.21 (((^[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 : $i]: ((((((((((Y1 @ Y3 @ Y5) | (Y5 = Y3)) | ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y4 @ Y3) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7)))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y7)) | (Y6 @ Y8 @ Y7)) | (~ (Y6 @ Y8 @ Y9)))))))))))))) & (~ (Y4 = Y3)))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y8 @ Y9)) | (~ (Y7 @ Y9 @ Y10))) | (Y7 @ Y8 @ Y10))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8))))))))) | (Y7 @ Y5 @ Y6))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8)))))))) | (Y7 @ Y3 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y9)) | (Y7 @ Y8 @ Y9)) | (~ (Y7 @ Y8 @ Y10))))))))))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y2 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y1 @ Y6 @ Y7)))))))) | (Y2 @ Y5 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y1 @ Y6 @ Y8)) | (Y1 @ Y7 @ Y8)) | (~ (Y1 @ Y7 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y2 @ Y7 @ Y8)) | (Y2 @ Y6 @ Y8)) | (~ (Y2 @ Y6 @ Y7))))))))))) | ((~ (Y5 = Y4)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y7 @ Y8)) | (~ (Y6 @ Y8 @ Y9))) | (Y6 @ Y7 @ Y9))))))))) | (Y6 @ Y4 @ Y5)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7)))))))))))))))))))))))) = confl) = $true)), 291.92/42.21 inference(binary_proxy_clausification,[status(thm)],[f11])). 291.92/42.21 thf(f146,plain,( 291.92/42.21 spl0_3 | spl0_4), 291.92/42.21 inference(avatar_split_clause,[status(thm)],[f108,f144,f141])). 291.92/42.21 thf(f108,plain,( 291.92/42.21 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((trc @ sK2 @ Y2 @ Y1) & (trc @ sK2 @ Y2 @ Y0)) => (join @ sK2 @ Y1 @ Y0)))))))) = $false) | ((confl @ sK2) = $false)), 291.92/42.21 inference(binary_proxy_clausification,[status(thm)],[f106])). 291.92/42.21 thf(f106,plain,( 291.92/42.21 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((trc @ sK2 @ Y2 @ Y1) & (trc @ sK2 @ Y2 @ Y0)) => (join @ sK2 @ Y1 @ Y0)))))))) != (confl @ sK2))), 291.92/42.21 inference(beta_eta_normalization,[status(thm)],[f105])). 291.92/42.21 thf(f105,plain,( 291.92/42.21 (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((trc @ Y0 @ Y3 @ Y2) & (trc @ Y0 @ Y3 @ Y1)) => (join @ Y0 @ Y2 @ Y1))))))))) @ sK2) != (confl @ sK2))), 291.92/42.21 inference(negative_extensionality,[status(thm)],[f13])). 291.92/42.21 thf(f13,plain,( 291.92/42.21 (confl != (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((trc @ Y0 @ Y3 @ Y2) & (trc @ Y0 @ Y3 @ Y1)) => (join @ Y0 @ Y2 @ Y1))))))))))), 291.92/42.21 inference(equality_proxy_clausification,[status(thm)],[f12])). 291.92/42.21 thf(f12,plain,( 291.92/42.21 (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((trc @ Y0 @ Y3 @ Y2) & (trc @ Y0 @ Y3 @ Y1)) => (join @ Y0 @ Y2 @ Y1))))))))) = confl) = $false)), 291.92/42.21 inference(not_proxy_clausification,[status(thm)],[f9])). 291.92/42.21 thf(f9,plain,( 291.92/42.21 ((~ ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((trc @ Y0 @ Y3 @ Y2) & (trc @ Y0 @ Y3 @ Y1)) => (join @ Y0 @ Y2 @ Y1))))))))) = confl)) = $true)), 291.92/42.21 inference(cnf_transformation,[status(thm)],[f6])). 291.92/42.21 thf(f6,plain,( 291.92/42.21 ((~ ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((trc @ Y0 @ Y3 @ Y2) & (trc @ Y0 @ Y3 @ Y1)) => (join @ Y0 @ Y2 @ Y1))))))))) = confl)) = $true)), 291.92/42.21 inference(fool_elimination,[status(thm)],[f5])). 291.92/42.21 thf(f5,plain,( 291.92/42.21 ~((^[X0 : $i > $i > $o] : (! [X1 : $i,X2 : $i,X3 : $i] : (((trc @ X0 @ X1 @ X3) & (trc @ X0 @ X1 @ X2)) => (join @ X0 @ X2 @ X3)))) = confl)), 291.92/42.21 inference(rectify,[status(thm)],[f2])). 291.92/42.21 thf(f2,negated_conjecture,( 291.92/42.21 ~((^[X0 : $i > $i > $o] : (! [X1 : $i,X3 : $i,X2 : $i] : (((trc @ X0 @ X1 @ X2) & (trc @ X0 @ X1 @ X3)) => (join @ X0 @ X3 @ X2)))) = confl)), 291.92/42.21 inference(negated_conjecture,[status(cth)],[f1])). 291.92/42.21 thf(f1,conjecture,( 291.92/42.21 ((^[X0 : $i > $i > $o] : (! [X1 : $i,X3 : $i,X2 : $i] : (((trc @ X0 @ X1 @ X2) & (trc @ X0 @ X1 @ X3)) => (join @ X0 @ X3 @ X2)))) = confl)), 291.92/42.21 file('/export/starexec/sandbox2/tmp/tmp.lW4aQUS7Rw/E---3.1_1324435.p',confluent)). 291.92/42.21 % SZS output end Proof for E---3.1_1324435 291.92/42.21 % (1326657)------------------------------ 291.92/42.21 % (1326657)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 291.92/42.21 % (1326657)Termination reason: Refutation 291.92/42.21 291.92/42.21 % (1326657)Memory used [KB]: 12025 291.92/42.21 % (1326657)Time elapsed: 7.092 s 291.92/42.21 % (1326657)Instructions burned: 7846 (million) 291.92/42.21 % (1326657)------------------------------ 291.92/42.21 % (1326657)------------------------------ 291.92/42.21 % (1324505)Success in time 41.684 s 291.92/42.21 EOF