0.07/0.13 % Problem : Vampire---4.8_11158 : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.14/0.35 % Computer : n012.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 1440 0.14/0.35 % WCLimit : 180 0.14/0.36 % DateTime : Mon Jul 3 12:44:22 EDT 2023 0.14/0.36 % CPUTime : 0.14/0.36 This is a THF_ problem 0.14/0.36 Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.0ML6kDQOES/Vampire---4.8_11158 -m 12000 -t 180 0.14/0.38 % (11396)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.14/0.38 % (11399)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on Vampire---4 for (1799ds/385Mi) 0.14/0.38 % (11397)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.14/0.38 % (11398)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1799ds/34Mi) 0.14/0.38 % (11400)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.14/0.38 % (11401)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on Vampire---4 for (1799ds/74Mi) 0.14/0.38 % (11402)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1799ds/4Mi) 0.14/0.38 % (11403)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on Vampire---4 for (1799ds/915Mi) 0.14/0.38 % (11402)Instruction limit reached! 0.14/0.38 % (11402)------------------------------ 0.14/0.38 % (11402)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.38 % (11402)Termination reason: Unknown 0.14/0.38 % (11402)Termination phase: Property scanning 0.14/0.38 0.14/0.38 % (11402)Memory used [KB]: 1023 0.14/0.38 % (11402)Time elapsed: 0.004 s 0.14/0.38 % (11402)Instructions burned: 4 (million) 0.14/0.38 % (11402)------------------------------ 0.14/0.38 % (11402)------------------------------ 0.14/0.39 % (11400)Instruction limit reached! 0.14/0.39 % (11400)------------------------------ 0.14/0.39 % (11400)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.39 % (11400)Termination reason: Unknown 0.14/0.39 % (11400)Termination phase: Saturation 0.14/0.39 0.14/0.39 % (11400)Memory used [KB]: 5628 0.14/0.39 % (11400)Time elapsed: 0.013 s 0.14/0.39 % (11400)Instructions burned: 17 (million) 0.14/0.39 % (11400)------------------------------ 0.14/0.39 % (11400)------------------------------ 0.14/0.40 % (11404)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (1799ds/21Mi) 0.14/0.40 % (11398)Instruction limit reached! 0.14/0.40 % (11398)------------------------------ 0.14/0.40 % (11398)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.40 % (11398)Termination reason: Unknown 0.14/0.40 % (11398)Termination phase: Saturation 0.14/0.40 0.14/0.40 % (11398)Memory used [KB]: 5756 0.14/0.40 % (11398)Time elapsed: 0.024 s 0.14/0.40 % (11398)Instructions burned: 34 (million) 0.14/0.40 % (11398)------------------------------ 0.14/0.40 % (11398)------------------------------ 0.14/0.40 % (11397)Instruction limit reached! 0.14/0.40 % (11397)------------------------------ 0.14/0.40 % (11397)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.40 % (11397)Termination reason: Unknown 0.14/0.40 % (11397)Termination phase: Saturation 0.14/0.40 0.14/0.40 % (11397)Memory used [KB]: 5756 0.14/0.40 % (11397)Time elapsed: 0.024 s 0.14/0.40 % (11397)Instructions burned: 37 (million) 0.14/0.40 % (11397)------------------------------ 0.14/0.40 % (11397)------------------------------ 0.22/0.41 % (11405)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.22/0.41 % (11405)Instruction limit reached! 0.22/0.41 % (11405)------------------------------ 0.22/0.41 % (11405)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.41 % (11405)Termination reason: Unknown 0.22/0.41 % (11405)Termination phase: Saturation 0.22/0.41 0.22/0.41 % (11405)Memory used [KB]: 5500 0.22/0.41 % (11405)Time elapsed: 0.006 s 0.22/0.41 % (11405)Instructions burned: 7 (million) 0.22/0.41 % (11405)------------------------------ 0.22/0.41 % (11405)------------------------------ 0.22/0.41 % (11404)Instruction limit reached! 0.22/0.41 % (11404)------------------------------ 0.22/0.41 % (11404)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.41 % (11404)Termination reason: Unknown 0.22/0.41 % (11404)Termination phase: Saturation 0.22/0.41 0.22/0.41 % (11404)Memory used [KB]: 5628 0.22/0.41 % (11404)Time elapsed: 0.015 s 0.22/0.41 % (11404)Instructions burned: 21 (million) 0.22/0.41 % (11404)------------------------------ 0.22/0.41 % (11404)------------------------------ 0.22/0.42 % (11406)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on Vampire---4 for (1799ds/1021Mi) 0.22/0.42 % (11407)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (1799ds/71Mi) 0.22/0.42 % (11401)Instruction limit reached! 0.22/0.42 % (11401)------------------------------ 0.22/0.42 % (11401)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.42 % (11401)Termination reason: Unknown 0.22/0.42 % (11401)Termination phase: Saturation 0.22/0.42 0.22/0.42 % (11401)Memory used [KB]: 5884 0.22/0.42 % (11401)Time elapsed: 0.047 s 0.22/0.42 % (11401)Instructions burned: 75 (million) 0.22/0.42 % (11401)------------------------------ 0.22/0.42 % (11401)------------------------------ 0.22/0.42 % (11408)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=9:si=on:rtra=on_0 on Vampire---4 for (1799ds/9Mi) 0.22/0.43 % (11409)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on Vampire---4 for (1799ds/1044Mi) 0.22/0.43 % (11408)Instruction limit reached! 0.22/0.43 % (11408)------------------------------ 0.22/0.43 % (11408)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.43 % (11408)Termination reason: Unknown 0.22/0.43 % (11408)Termination phase: Saturation 0.22/0.43 0.22/0.43 % (11408)Memory used [KB]: 5628 0.22/0.43 % (11408)Time elapsed: 0.008 s 0.22/0.43 % (11408)Instructions burned: 9 (million) 0.22/0.43 % (11408)------------------------------ 0.22/0.43 % (11408)------------------------------ 0.22/0.44 % (11415)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on Vampire---4 for (1799ds/128Mi) 0.22/0.44 % (11396)Instruction limit reached! 0.22/0.44 % (11396)------------------------------ 0.22/0.44 % (11396)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.44 % (11396)Termination reason: Unknown 0.22/0.45 % (11396)Termination phase: Saturation 0.22/0.45 0.22/0.45 % (11396)Memory used [KB]: 5884 0.22/0.45 % (11396)Time elapsed: 0.068 s 0.22/0.45 % (11396)Instructions burned: 96 (million) 0.22/0.45 % (11396)------------------------------ 0.22/0.45 % (11396)------------------------------ 0.22/0.45 % (11417)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.22/0.46 % (11420)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.22/0.46 % (11407)Instruction limit reached! 0.22/0.46 % (11407)------------------------------ 0.22/0.46 % (11407)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.46 % (11407)Termination reason: Unknown 0.22/0.46 % (11407)Termination phase: Saturation 0.22/0.46 0.22/0.46 % (11407)Memory used [KB]: 5884 0.22/0.46 % (11407)Time elapsed: 0.049 s 0.22/0.46 % (11407)Instructions burned: 71 (million) 0.22/0.46 % (11407)------------------------------ 0.22/0.46 % (11407)------------------------------ 0.22/0.47 % (11420)Instruction limit reached! 0.22/0.47 % (11420)------------------------------ 0.22/0.47 % (11420)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.47 % (11420)Termination reason: Unknown 0.22/0.47 % (11420)Termination phase: Saturation 0.22/0.47 0.22/0.47 % (11420)Memory used [KB]: 5628 0.22/0.47 % (11420)Time elapsed: 0.011 s 0.22/0.47 % (11420)Instructions burned: 15 (million) 0.22/0.47 % (11420)------------------------------ 0.22/0.47 % (11420)------------------------------ 0.22/0.48 % (11427)lrs+2_5:1_cnfonf=lazy_not_be_gen:hud=10:inj=on:ntd=on:tnu=1:i=2:si=on:rtra=on_0 on Vampire---4 for (1799ds/2Mi) 0.22/0.48 % (11427)Instruction limit reached! 0.22/0.48 % (11427)------------------------------ 0.22/0.48 % (11427)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.48 % (11427)Termination reason: Unknown 0.22/0.48 % (11427)Termination phase: shuffling 0.22/0.48 0.22/0.48 % (11427)Memory used [KB]: 1023 0.22/0.48 % (11427)Time elapsed: 0.003 s 0.22/0.48 % (11427)Instructions burned: 2 (million) 0.22/0.48 % (11427)------------------------------ 0.22/0.48 % (11427)------------------------------ 0.22/0.49 % (11417)Instruction limit reached! 0.22/0.49 % (11417)------------------------------ 0.22/0.49 % (11417)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.49 % (11417)Termination reason: Unknown 0.22/0.49 % (11417)Termination phase: Saturation 0.22/0.49 0.22/0.49 % (11417)Memory used [KB]: 6012 0.22/0.49 % (11417)Time elapsed: 0.043 s 0.22/0.49 % (11417)Instructions burned: 61 (million) 0.22/0.49 % (11417)------------------------------ 0.22/0.49 % (11417)------------------------------ 0.22/0.49 % (11436)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (1798ds/1041Mi) 0.22/0.49 % (11441)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on Vampire---4 for (1798ds/11Mi) 0.22/0.50 % (11441)Instruction limit reached! 0.22/0.50 % (11441)------------------------------ 0.22/0.50 % (11441)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.50 % (11441)Termination reason: Unknown 0.22/0.50 % (11441)Termination phase: Saturation 0.22/0.50 0.22/0.50 % (11441)Memory used [KB]: 5500 0.22/0.50 % (11441)Time elapsed: 0.006 s 0.22/0.50 % (11441)Instructions burned: 13 (million) 0.22/0.50 % (11441)------------------------------ 0.22/0.50 % (11441)------------------------------ 0.22/0.50 % (11443)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on Vampire---4 for (1798ds/140Mi) 0.22/0.50 % (11415)Instruction limit reached! 0.22/0.50 % (11415)------------------------------ 0.22/0.50 % (11415)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.50 % (11415)Termination reason: Unknown 0.22/0.50 % (11415)Termination phase: Saturation 0.22/0.50 0.22/0.50 % (11415)Memory used [KB]: 6140 0.22/0.50 % (11415)Time elapsed: 0.062 s 0.22/0.50 % (11415)Instructions burned: 130 (million) 0.22/0.50 % (11415)------------------------------ 0.22/0.50 % (11415)------------------------------ 0.22/0.51 % (11450)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=26:si=on:rtra=on_0 on Vampire---4 for (1798ds/26Mi) 0.22/0.51 % (11452)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on Vampire---4 for (1798ds/56Mi) 0.22/0.52 % (11450)Instruction limit reached! 0.22/0.52 % (11450)------------------------------ 0.22/0.52 % (11450)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.52 % (11450)Termination reason: Unknown 0.22/0.52 % (11450)Termination phase: Saturation 0.22/0.52 0.22/0.52 % (11450)Memory used [KB]: 5628 0.22/0.52 % (11450)Time elapsed: 0.009 s 0.22/0.52 % (11450)Instructions burned: 28 (million) 0.22/0.52 % (11450)------------------------------ 0.22/0.52 % (11450)------------------------------ 0.22/0.52 % (11468)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (1798ds/275Mi) 0.22/0.53 % (11452)Instruction limit reached! 0.22/0.53 % (11452)------------------------------ 0.22/0.53 % (11452)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.53 % (11452)Termination reason: Unknown 0.22/0.53 % (11452)Termination phase: Saturation 0.22/0.53 0.22/0.53 % (11452)Memory used [KB]: 1407 0.22/0.53 % (11452)Time elapsed: 0.023 s 0.22/0.53 % (11452)Instructions burned: 57 (million) 0.22/0.53 % (11452)------------------------------ 0.22/0.53 % (11452)------------------------------ 0.22/0.54 % (11484)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1798ds/3Mi) 0.22/0.54 % (11484)Instruction limit reached! 0.22/0.54 % (11484)------------------------------ 0.22/0.54 % (11484)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.54 % (11484)Termination reason: Unknown 0.22/0.54 % (11484)Termination phase: Property scanning 0.22/0.54 0.22/0.54 % (11484)Memory used [KB]: 1023 0.22/0.54 % (11484)Time elapsed: 0.003 s 0.22/0.54 % (11484)Instructions burned: 6 (million) 0.22/0.54 % (11484)------------------------------ 0.22/0.54 % (11484)------------------------------ 0.22/0.55 % (11443)Instruction limit reached! 0.22/0.55 % (11443)------------------------------ 0.22/0.55 % (11443)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.55 % (11443)Termination reason: Unknown 0.22/0.55 % (11443)Termination phase: Saturation 0.22/0.55 0.22/0.55 % (11443)Memory used [KB]: 6268 0.22/0.55 % (11443)Time elapsed: 0.052 s 0.22/0.55 % (11443)Instructions burned: 140 (million) 0.22/0.55 % (11443)------------------------------ 0.22/0.55 % (11443)------------------------------ 0.22/0.55 % (11490)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on Vampire---4 for (1798ds/19Mi) 0.22/0.56 % (11490)Instruction limit reached! 0.22/0.56 % (11490)------------------------------ 0.22/0.56 % (11490)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.56 % (11490)Termination reason: Unknown 0.22/0.56 % (11490)Termination phase: Saturation 0.22/0.56 0.22/0.56 % (11490)Memory used [KB]: 5500 0.22/0.56 % (11490)Time elapsed: 0.007 s 0.22/0.56 % (11490)Instructions burned: 21 (million) 0.22/0.56 % (11490)------------------------------ 0.22/0.56 % (11490)------------------------------ 0.22/0.56 % (11494)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on Vampire---4 for (1798ds/44Mi) 0.22/0.56 % (11498)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=191:si=on:rtra=on_0 on Vampire---4 for (1798ds/191Mi) 0.22/0.57 % (11399)Instruction limit reached! 0.22/0.57 % (11399)------------------------------ 0.22/0.57 % (11399)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.57 % (11399)Termination reason: Unknown 0.22/0.57 % (11399)Termination phase: Saturation 0.22/0.57 0.22/0.57 % (11399)Memory used [KB]: 6908 0.22/0.57 % (11399)Time elapsed: 0.192 s 0.22/0.57 % (11399)Instructions burned: 386 (million) 0.22/0.57 % (11399)------------------------------ 0.22/0.57 % (11399)------------------------------ 0.22/0.57 % (11494)Instruction limit reached! 0.22/0.57 % (11494)------------------------------ 0.22/0.57 % (11494)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.57 % (11494)Termination reason: Unknown 0.22/0.57 % (11494)Termination phase: Saturation 0.22/0.57 0.22/0.57 % (11494)Memory used [KB]: 1151 0.22/0.57 % (11494)Time elapsed: 0.015 s 0.22/0.57 % (11494)Instructions burned: 46 (million) 0.22/0.57 % (11494)------------------------------ 0.22/0.57 % (11494)------------------------------ 0.22/0.58 % (11508)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on Vampire---4 for (1798ds/62Mi) 0.22/0.58 % (11509)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=105:si=on:rtra=on_0 on Vampire---4 for (1798ds/105Mi) 0.22/0.60 % (11508)Instruction limit reached! 0.22/0.60 % (11508)------------------------------ 0.22/0.60 % (11508)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.60 % (11508)Termination reason: Unknown 0.22/0.60 % (11508)Termination phase: Saturation 0.22/0.60 0.22/0.60 % (11508)Memory used [KB]: 5756 0.22/0.60 % (11508)Time elapsed: 0.021 s 0.22/0.60 % (11508)Instructions burned: 64 (million) 0.22/0.60 % (11508)------------------------------ 0.22/0.60 % (11508)------------------------------ 2.02/0.61 % (11518)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1797ds/3Mi) 2.02/0.61 % (11518)Instruction limit reached! 2.02/0.61 % (11518)------------------------------ 2.02/0.61 % (11518)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.02/0.61 % (11518)Termination reason: Unknown 2.02/0.61 % (11518)Termination phase: Preprocessing 3 2.02/0.61 2.02/0.61 % (11518)Memory used [KB]: 1023 2.02/0.61 % (11518)Time elapsed: 0.002 s 2.02/0.61 % (11518)Instructions burned: 3 (million) 2.02/0.61 % (11518)------------------------------ 2.02/0.61 % (11518)------------------------------ 2.02/0.62 % (11519)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=238:si=on:rtra=on_0 on Vampire---4 for (1797ds/238Mi) 2.02/0.62 % (11509)Instruction limit reached! 2.02/0.62 % (11509)------------------------------ 2.02/0.62 % (11509)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.02/0.62 % (11509)Termination reason: Unknown 2.02/0.62 % (11509)Termination phase: Saturation 2.02/0.62 2.02/0.62 % (11509)Memory used [KB]: 6012 2.02/0.62 % (11509)Time elapsed: 0.039 s 2.02/0.62 % (11509)Instructions burned: 105 (million) 2.02/0.62 % (11509)------------------------------ 2.02/0.62 % (11509)------------------------------ 2.15/0.63 % (11520)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 Vampire---4 for (1797ds/3Mi) 2.15/0.63 % (11520)Instruction limit reached! 2.15/0.63 % (11520)------------------------------ 2.15/0.63 % (11520)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.15/0.63 % (11520)Termination reason: Unknown 2.15/0.63 % (11520)Termination phase: Preprocessing 3 2.15/0.63 2.15/0.63 % (11520)Memory used [KB]: 1023 2.15/0.63 % (11520)Time elapsed: 0.002 s 2.15/0.63 % (11520)Instructions burned: 3 (million) 2.15/0.63 % (11520)------------------------------ 2.15/0.63 % (11520)------------------------------ 2.15/0.63 % (11498)Instruction limit reached! 2.15/0.63 % (11498)------------------------------ 2.15/0.63 % (11498)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.15/0.63 % (11498)Termination reason: Unknown 2.15/0.63 % (11498)Termination phase: Saturation 2.15/0.63 2.15/0.63 % (11498)Memory used [KB]: 6652 2.15/0.63 % (11498)Time elapsed: 0.067 s 2.15/0.63 % (11498)Instructions burned: 193 (million) 2.15/0.63 % (11498)------------------------------ 2.15/0.63 % (11498)------------------------------ 2.20/0.64 % (11521)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 Vampire---4 for (1797ds/4Mi) 2.20/0.64 % (11521)Instruction limit reached! 2.20/0.64 % (11521)------------------------------ 2.20/0.64 % (11521)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.20/0.64 % (11521)Termination reason: Unknown 2.20/0.64 % (11521)Termination phase: Property scanning 2.20/0.64 2.20/0.64 % (11521)Memory used [KB]: 1023 2.20/0.64 % (11521)Time elapsed: 0.003 s 2.20/0.64 % (11521)Instructions burned: 6 (million) 2.20/0.64 % (11521)------------------------------ 2.20/0.64 % (11521)------------------------------ 2.20/0.64 % (11522)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 Vampire---4 for (1797ds/149Mi) 2.20/0.65 % (11523)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on Vampire---4 for (1797ds/150Mi) 2.20/0.65 % (11468)Instruction limit reached! 2.20/0.65 % (11468)------------------------------ 2.20/0.65 % (11468)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.20/0.65 % (11468)Termination reason: Unknown 2.20/0.65 % (11468)Termination phase: Saturation 2.20/0.65 2.20/0.65 % (11468)Memory used [KB]: 6268 2.20/0.65 % (11468)Time elapsed: 0.126 s 2.20/0.65 % (11468)Instructions burned: 276 (million) 2.20/0.65 % (11468)------------------------------ 2.20/0.65 % (11468)------------------------------ 2.20/0.66 % (11524)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=199:si=on:rtra=on_0 on Vampire---4 for (1797ds/199Mi) 2.20/0.66 % (11436)First to succeed. 2.20/0.67 % (11436)Refutation found. Thanks to Tanya! 2.20/0.67 % SZS status Theorem for Vampire---4 2.20/0.67 % SZS output start Proof for Vampire---4 2.20/0.67 thf(type_def_5, type, a: $tType). 2.20/0.67 thf(func_def_0, type, a: $tType). 2.20/0.67 thf(func_def_20, type, ph1: !>[X0: $tType]:(X0)). 2.20/0.67 thf(func_def_21, type, sK2: a). 2.20/0.67 thf(func_def_22, type, sK3: a > a > $o). 2.20/0.67 thf(func_def_23, type, sK4: a). 2.20/0.67 thf(func_def_24, type, sK5: a > a > $o). 2.20/0.67 thf(func_def_25, type, sK6: a > $o). 2.20/0.67 thf(func_def_26, type, sK7: a). 2.20/0.67 thf(func_def_27, type, sK8: a). 2.20/0.67 thf(func_def_28, type, sK9: a). 2.20/0.67 thf(func_def_29, type, sK10: a). 2.20/0.67 thf(func_def_30, type, sK11: a). 2.20/0.67 thf(func_def_31, type, sK12: a). 2.20/0.67 thf(func_def_32, type, sK13: a). 2.20/0.67 thf(func_def_33, type, sK14: a). 2.20/0.67 thf(func_def_34, type, sK15: a). 2.20/0.67 thf(func_def_35, type, sK16: a). 2.20/0.67 thf(func_def_36, type, sK17: a). 2.20/0.67 thf(func_def_37, type, sK18: a). 2.20/0.67 thf(func_def_38, type, sK19: a). 2.20/0.67 thf(func_def_39, type, sK20: a). 2.20/0.67 thf(func_def_40, type, sK21: a). 2.20/0.67 thf(func_def_41, type, sK22: a). 2.20/0.67 thf(func_def_42, type, sK23: a). 2.20/0.67 thf(func_def_43, type, sK24: a). 2.20/0.67 thf(func_def_44, type, sK25: a). 2.20/0.67 thf(func_def_45, type, sK26: a). 2.20/0.67 thf(func_def_46, type, sK27: a). 2.20/0.67 thf(func_def_47, type, sK28: a). 2.20/0.67 thf(func_def_48, type, sK29: a). 2.20/0.67 thf(func_def_49, type, sK30: a). 2.20/0.67 thf(func_def_50, type, sK31: a). 2.20/0.67 thf(func_def_51, type, sK32: a). 2.20/0.67 thf(func_def_52, type, sK33: a). 2.20/0.67 thf(func_def_53, type, sK34: a). 2.20/0.67 thf(f2316,plain,( 2.20/0.67 $false), 2.20/0.67 inference(avatar_sat_refutation,[],[f126,f218,f355,f464,f774,f940,f1069,f1110,f1244,f1284,f1436,f1688,f1937,f2009,f2315])). 2.20/0.67 thf(f2315,plain,( 2.20/0.67 ~spl0_12), 2.20/0.67 inference(avatar_contradiction_clause,[],[f2314])). 2.20/0.67 thf(f2314,plain,( 2.20/0.67 $false | ~spl0_12), 2.20/0.67 inference(trivial_inequality_removal,[],[f2313])). 2.20/0.67 thf(f2313,plain,( 2.20/0.67 ($false = $true) | ~spl0_12), 2.20/0.67 inference(forward_demodulation,[],[f2312,f2253])). 2.20/0.67 thf(f2253,plain,( 2.20/0.67 ($false = (sK6 @ sK32)) | ~spl0_12), 2.20/0.67 inference(binary_proxy_clausification,[],[f2241])). 2.20/0.67 thf(f2241,plain,( 2.20/0.67 ($false = (((sK5 @ sK33 @ sK32) & (sK6 @ sK33)) => (sK6 @ sK32))) | ~spl0_12), 2.20/0.67 inference(beta_eta_normalization,[],[f2240])). 2.20/0.67 thf(f2240,plain,( 2.20/0.67 (((^[Y0 : a]: (((sK5 @ Y0 @ sK32) & (sK6 @ Y0)) => (sK6 @ sK32))) @ sK33) = $false) | ~spl0_12), 2.20/0.67 inference(sigma_clausification,[],[f2226])). 2.20/0.67 thf(f2226,plain,( 2.20/0.67 ($false = (!! @ a @ (^[Y0 : a]: (((sK5 @ Y0 @ sK32) & (sK6 @ Y0)) => (sK6 @ sK32))))) | ~spl0_12), 2.20/0.67 inference(beta_eta_normalization,[],[f2224])). 2.20/0.67 thf(f2224,plain,( 2.20/0.67 (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y1 @ Y0) & (sK6 @ Y1)) => (sK6 @ Y0))))) @ sK32) = $false) | ~spl0_12), 2.20/0.67 inference(sigma_clausification,[],[f351])). 2.20/0.67 thf(f351,plain,( 2.20/0.67 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y1 @ Y0) & (sK6 @ Y1)) => (sK6 @ Y0)))))) = $false) | ~spl0_12), 2.20/0.67 inference(avatar_component_clause,[],[f350])). 2.20/0.67 thf(f350,plain,( 2.20/0.67 spl0_12 <=> ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y1 @ Y0) & (sK6 @ Y1)) => (sK6 @ Y0)))))) = $false)), 2.20/0.67 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])). 2.20/0.67 thf(f2312,plain,( 2.20/0.67 ($true = (sK6 @ sK32)) | ~spl0_12), 2.20/0.67 inference(boolean_simplification,[],[f2311])). 2.20/0.67 thf(f2311,plain,( 2.20/0.67 ($true = ($true => (sK6 @ sK32))) | ~spl0_12), 2.20/0.67 inference(forward_demodulation,[],[f2310,f2294])). 2.20/0.67 thf(f2294,plain,( 2.20/0.67 ($true = (sK6 @ sK34)) | ~spl0_12), 2.20/0.67 inference(boolean_simplification,[],[f2293])). 2.20/0.67 thf(f2293,plain,( 2.20/0.67 ($true = ($true & (sK6 @ sK34))) | ~spl0_12), 2.20/0.67 inference(backward_demodulation,[],[f2278,f2292])). 2.20/0.67 thf(f2292,plain,( 2.20/0.67 ($true = (sK5 @ sK34 @ sK32)) | ~spl0_12), 2.20/0.67 inference(binary_proxy_clausification,[],[f2278])). 2.20/0.67 thf(f2278,plain,( 2.20/0.67 ($true = ((sK5 @ sK34 @ sK32) & (sK6 @ sK34))) | ~spl0_12), 2.20/0.67 inference(not_proxy_clausification,[],[f2273])). 2.20/0.67 thf(f2273,plain,( 2.20/0.67 ($false = (~ ((sK5 @ sK34 @ sK32) & (sK6 @ sK34)))) | ~spl0_12), 2.20/0.67 inference(beta_eta_normalization,[],[f2272])). 2.20/0.67 thf(f2272,plain,( 2.20/0.67 ($false = ((^[Y0 : a]: (~ ((sK5 @ Y0 @ sK32) & (sK6 @ Y0)))) @ sK34)) | ~spl0_12), 2.20/0.67 inference(sigma_clausification,[],[f2257])). 2.20/0.67 thf(f2257,plain,( 2.20/0.67 ($false = (!! @ a @ (^[Y0 : a]: (~ ((sK5 @ Y0 @ sK32) & (sK6 @ Y0)))))) | ~spl0_12), 2.20/0.67 inference(boolean_simplification,[],[f2256])). 2.20/0.67 thf(f2256,plain,( 2.20/0.67 ($false = (!! @ a @ (^[Y0 : a]: (((sK5 @ Y0 @ sK32) & (sK6 @ Y0)) => $false)))) | ~spl0_12), 2.20/0.67 inference(backward_demodulation,[],[f2226,f2253])). 2.20/0.67 thf(f2310,plain,( 2.20/0.67 ($true = ((sK6 @ sK34) => (sK6 @ sK32))) | ~spl0_12), 2.20/0.67 inference(boolean_simplification,[],[f2309])). 2.20/0.67 thf(f2309,plain,( 2.20/0.67 ($true = (($true & (sK6 @ sK34)) => (sK6 @ sK32))) | ~spl0_12), 2.20/0.67 inference(boolean_simplification,[],[f2308])). 2.20/0.67 thf(f2308,plain,( 2.20/0.67 (((($true | (sK3 @ sK34 @ sK32)) & (sK6 @ sK34)) => (sK6 @ sK32)) = $true) | ~spl0_12), 2.20/0.67 inference(superposition,[],[f68,f2292])). 2.20/0.67 thf(f68,plain,( 2.20/0.67 ( ! [X2 : a,X1 : a] : (($true = ((((sK5 @ X1 @ X2) | (sK3 @ X1 @ X2)) & (sK6 @ X1)) => (sK6 @ X2)))) )), 2.20/0.67 inference(beta_eta_normalization,[],[f67])). 2.20/0.67 thf(f67,plain,( 2.20/0.67 ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: ((((sK5 @ X1 @ Y0) | (sK3 @ X1 @ Y0)) & (sK6 @ X1)) => (sK6 @ Y0))) @ X2))) )), 2.20/0.67 inference(pi_clausification,[],[f66])). 2.20/0.67 thf(f66,plain,( 2.20/0.67 ( ! [X1 : a] : (((!! @ a @ (^[Y0 : a]: ((((sK5 @ X1 @ Y0) | (sK3 @ X1 @ Y0)) & (sK6 @ X1)) => (sK6 @ Y0)))) = $true)) )), 2.20/0.67 inference(beta_eta_normalization,[],[f65])). 2.20/0.67 thf(f65,plain,( 2.20/0.67 ( ! [X1 : a] : ((((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) & (sK6 @ Y0)) => (sK6 @ Y1))))) @ X1) = $true)) )), 2.20/0.67 inference(pi_clausification,[],[f30])). 2.20/0.67 thf(f30,plain,( 2.20/0.67 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) & (sK6 @ Y0)) => (sK6 @ Y1)))))) = $true)), 2.20/0.67 inference(binary_proxy_clausification,[],[f25])). 2.20/0.67 thf(f25,plain,( 2.20/0.67 (((!! @ a @ (^[Y0 : a]: (((sK5 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK6 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) & (sK6 @ Y0)) => (sK6 @ Y1))))))) = $true)), 2.20/0.67 inference(binary_proxy_clausification,[],[f23])). 2.20/0.67 thf(f23,plain,( 2.20/0.67 ($false = (((!! @ a @ (^[Y0 : a]: (((sK5 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK6 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) & (sK6 @ Y0)) => (sK6 @ Y1))))))) => (sK6 @ sK2)))), 2.20/0.67 inference(beta_eta_normalization,[],[f22])). 2.20/0.67 thf(f22,plain,( 2.20/0.67 (((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK2))) @ sK6) = $false)), 2.20/0.67 inference(sigma_clausification,[],[f21])). 2.20/0.67 thf(f21,plain,( 2.20/0.67 ($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK2)))))), 2.20/0.67 inference(boolean_simplification,[],[f20])). 2.20/0.67 thf(f20,plain,( 2.20/0.67 (($true => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK2))))) = $false)), 2.20/0.67 inference(backward_demodulation,[],[f17,f19])). 2.20/0.67 thf(f19,plain,( 2.20/0.67 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK5 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: ((sK5 @ Y1 @ Y4) => (Y3 @ Y4))))) => (Y3 @ Y2)))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK3 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: ((sK3 @ Y1 @ Y4) => (Y3 @ Y4))))) => (Y3 @ Y2)))))) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & (sK3 @ Y3 @ Y4)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK3 @ sK4 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK5 @ sK4 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y4 @ Y3) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y1))))) => (Y0 @ Y1))))) => (Y0 @ sK2)))))), 2.20/0.67 inference(binary_proxy_clausification,[],[f17])). 2.20/0.67 thf(f17,plain,( 2.20/0.67 ($false = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK5 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: ((sK5 @ Y1 @ Y4) => (Y3 @ Y4))))) => (Y3 @ Y2)))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK3 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: ((sK3 @ Y1 @ Y4) => (Y3 @ Y4))))) => (Y3 @ Y2)))))) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & (sK3 @ Y3 @ Y4)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK3 @ sK4 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK5 @ sK4 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y4 @ Y3) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y1))))) => (Y0 @ Y1))))) => (Y0 @ sK2)))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK2))))))), 2.20/0.67 inference(beta_eta_normalization,[],[f16])). 2.20/0.67 thf(f16,plain,( 2.20/0.67 ($false = ((^[Y0 : a > a > $o]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & ((!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y0 @ Y5 @ Y6) & (Y4 @ Y5)) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: ((Y0 @ Y2 @ Y5) => (Y4 @ Y5))))) => (Y4 @ Y3)))) | (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((sK3 @ Y5 @ Y6) & (Y4 @ Y5)) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: ((sK3 @ Y2 @ Y5) => (Y4 @ Y5))))) => (Y4 @ Y3)))))) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & (sK3 @ Y4 @ Y5)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: ((sK3 @ sK4 @ Y4) => (Y3 @ Y4))))) => (Y3 @ Y2)))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((Y0 @ sK4 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y0 @ Y5 @ Y4) & (Y3 @ Y5)) => (Y3 @ Y4))))))) => (Y3 @ Y2))))) => (Y1 @ Y2))))) => (Y1 @ sK2)))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (((Y0 @ sK4 @ Y2) | (sK3 @ sK4 @ Y2)) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((Y0 @ Y2 @ Y3) | (sK3 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK2)))))) @ sK5))), 2.20/0.67 inference(sigma_clausification,[],[f15])). 2.20/0.67 thf(f15,plain,( 2.20/0.67 ((!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & ((!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y0 @ Y5 @ Y6) & (Y4 @ Y5)) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: ((Y0 @ Y2 @ Y5) => (Y4 @ Y5))))) => (Y4 @ Y3)))) | (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((sK3 @ Y5 @ Y6) & (Y4 @ Y5)) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: ((sK3 @ Y2 @ Y5) => (Y4 @ Y5))))) => (Y4 @ Y3)))))) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & (sK3 @ Y4 @ Y5)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: ((sK3 @ sK4 @ Y4) => (Y3 @ Y4))))) => (Y3 @ Y2)))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((Y0 @ sK4 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y0 @ Y5 @ Y4) & (Y3 @ Y5)) => (Y3 @ Y4))))))) => (Y3 @ Y2))))) => (Y1 @ Y2))))) => (Y1 @ sK2)))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (((Y0 @ sK4 @ Y2) | (sK3 @ sK4 @ Y2)) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((Y0 @ Y2 @ Y3) | (sK3 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK2))))))) = $false)), 2.20/0.67 inference(beta_eta_normalization,[],[f14])). 2.20/0.67 thf(f14,plain,( 2.20/0.67 ($false = ((^[Y0 : a]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & ((!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y1 @ Y6 @ Y7) & (Y5 @ Y6)) => (Y5 @ Y7)))))) & (!! @ a @ (^[Y6 : a]: ((Y1 @ Y3 @ Y6) => (Y5 @ Y6))))) => (Y5 @ Y4)))) | (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((sK3 @ Y6 @ Y7) & (Y5 @ Y6)) => (Y5 @ Y7)))))) & (!! @ a @ (^[Y6 : a]: ((sK3 @ Y3 @ Y6) => (Y5 @ Y6))))) => (Y5 @ Y4)))))) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y5) & (sK3 @ Y5 @ Y6)) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: ((sK3 @ Y0 @ Y5) => (Y4 @ Y5))))) => (Y4 @ Y3)))) | (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: ((Y1 @ Y0 @ Y5) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y1 @ Y6 @ Y5) & (Y4 @ Y6)) => (Y4 @ Y5))))))) => (Y4 @ Y3))))) => (Y2 @ Y3))))) => (Y2 @ sK2)))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (((Y1 @ Y0 @ Y3) | (sK3 @ Y0 @ Y3)) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((Y1 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ sK2)))))))) @ sK4))), 2.20/0.67 inference(sigma_clausification,[],[f13])). 2.20/0.67 thf(f13,plain,( 2.20/0.67 ($false = (!! @ a @ (^[Y0 : a]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & ((!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y1 @ Y6 @ Y7) & (Y5 @ Y6)) => (Y5 @ Y7)))))) & (!! @ a @ (^[Y6 : a]: ((Y1 @ Y3 @ Y6) => (Y5 @ Y6))))) => (Y5 @ Y4)))) | (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((sK3 @ Y6 @ Y7) & (Y5 @ Y6)) => (Y5 @ Y7)))))) & (!! @ a @ (^[Y6 : a]: ((sK3 @ Y3 @ Y6) => (Y5 @ Y6))))) => (Y5 @ Y4)))))) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y5) & (sK3 @ Y5 @ Y6)) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: ((sK3 @ Y0 @ Y5) => (Y4 @ Y5))))) => (Y4 @ Y3)))) | (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: ((Y1 @ Y0 @ Y5) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y1 @ Y6 @ Y5) & (Y4 @ Y6)) => (Y4 @ Y5))))))) => (Y4 @ Y3))))) => (Y2 @ Y3))))) => (Y2 @ sK2)))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (((Y1 @ Y0 @ Y3) | (sK3 @ Y0 @ Y3)) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((Y1 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ sK2))))))))))), 2.20/0.67 inference(beta_eta_normalization,[],[f12])). 2.20/0.67 thf(f12,plain,( 2.20/0.67 (((^[Y0 : a > a > $o]: (!! @ a @ (^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y2 @ Y7 @ Y8) & (Y6 @ Y7)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: ((Y2 @ Y4 @ Y7) => (Y6 @ Y7))))) => (Y6 @ Y5)))) | (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y0 @ Y7 @ Y8) & (Y6 @ Y7)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: ((Y0 @ Y4 @ Y7) => (Y6 @ Y7))))) => (Y6 @ Y5)))))) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y5 @ Y6) & (Y0 @ Y6 @ Y7)) => (Y5 @ Y7)))))) & (!! @ a @ (^[Y6 : a]: ((Y0 @ Y1 @ Y6) => (Y5 @ Y6))))) => (Y5 @ Y4)))) | (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: ((Y2 @ Y1 @ Y6) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y2 @ Y7 @ Y6) & (Y5 @ Y7)) => (Y5 @ Y6))))))) => (Y5 @ Y4))))) => (Y3 @ Y4))))) => (Y3 @ sK2)))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((Y2 @ Y1 @ Y4) | (Y0 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((Y2 @ Y4 @ Y5) | (Y0 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ sK2)))))))))) @ sK3) = $false)), 2.20/0.67 inference(sigma_clausification,[],[f11])). 2.20/0.67 thf(f11,plain,( 2.20/0.67 ($false = (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ a @ (^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y2 @ Y7 @ Y8) & (Y6 @ Y7)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: ((Y2 @ Y4 @ Y7) => (Y6 @ Y7))))) => (Y6 @ Y5)))) | (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y0 @ Y7 @ Y8) & (Y6 @ Y7)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: ((Y0 @ Y4 @ Y7) => (Y6 @ Y7))))) => (Y6 @ Y5)))))) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y5 @ Y6) & (Y0 @ Y6 @ Y7)) => (Y5 @ Y7)))))) & (!! @ a @ (^[Y6 : a]: ((Y0 @ Y1 @ Y6) => (Y5 @ Y6))))) => (Y5 @ Y4)))) | (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: ((Y2 @ Y1 @ Y6) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y2 @ Y7 @ Y6) & (Y5 @ Y7)) => (Y5 @ Y6))))))) => (Y5 @ Y4))))) => (Y3 @ Y4))))) => (Y3 @ sK2)))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((Y2 @ Y1 @ Y4) | (Y0 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((Y2 @ Y4 @ Y5) | (Y0 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ sK2))))))))))))), 2.20/0.67 inference(beta_eta_normalization,[],[f10])). 2.20/0.67 thf(f10,plain,( 2.20/0.67 ($false = ((^[Y0 : a]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (!! @ a @ (^[Y2 : a]: (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: ((!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y5) & ((!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y3 @ Y8 @ Y9) & (Y7 @ Y8)) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: ((Y3 @ Y5 @ Y8) => (Y7 @ Y8))))) => (Y7 @ Y6)))) | (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y1 @ Y8 @ Y9) & (Y7 @ Y8)) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: ((Y1 @ Y5 @ Y8) => (Y7 @ Y8))))) => (Y7 @ Y6)))))) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y7) & (Y1 @ Y7 @ Y8)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: ((Y1 @ Y2 @ Y7) => (Y6 @ Y7))))) => (Y6 @ Y5)))) | (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y3 @ Y2 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y3 @ Y8 @ Y7) & (Y6 @ Y8)) => (Y6 @ Y7))))))) => (Y6 @ Y5))))) => (Y4 @ Y5))))) => (Y4 @ Y0)))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (((Y3 @ Y2 @ Y5) | (Y1 @ Y2 @ Y5)) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y3 @ Y5 @ Y6) | (Y1 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6))))))) => (Y4 @ Y0)))))))))))) @ sK2))), 2.20/0.67 inference(sigma_clausification,[],[f7])). 2.20/0.67 thf(f7,plain,( 2.20/0.67 ($false = (!! @ a @ (^[Y0 : a]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (!! @ a @ (^[Y2 : a]: (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: ((!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y5) & ((!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y3 @ Y8 @ Y9) & (Y7 @ Y8)) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: ((Y3 @ Y5 @ Y8) => (Y7 @ Y8))))) => (Y7 @ Y6)))) | (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y1 @ Y8 @ Y9) & (Y7 @ Y8)) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: ((Y1 @ Y5 @ Y8) => (Y7 @ Y8))))) => (Y7 @ Y6)))))) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y7) & (Y1 @ Y7 @ Y8)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: ((Y1 @ Y2 @ Y7) => (Y6 @ Y7))))) => (Y6 @ Y5)))) | (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y3 @ Y2 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y3 @ Y8 @ Y7) & (Y6 @ Y8)) => (Y6 @ Y7))))))) => (Y6 @ Y5))))) => (Y4 @ Y5))))) => (Y4 @ Y0)))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (((Y3 @ Y2 @ Y5) | (Y1 @ Y2 @ Y5)) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y3 @ Y5 @ Y6) | (Y1 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6))))))) => (Y4 @ Y0))))))))))))))), 2.20/0.67 inference(not_proxy_clausification,[],[f6])). 2.20/0.67 thf(f6,plain,( 2.20/0.67 ((~ (!! @ a @ (^[Y0 : a]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (!! @ a @ (^[Y2 : a]: (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: ((!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y5) & ((!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y3 @ Y8 @ Y9) & (Y7 @ Y8)) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: ((Y3 @ Y5 @ Y8) => (Y7 @ Y8))))) => (Y7 @ Y6)))) | (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y1 @ Y8 @ Y9) & (Y7 @ Y8)) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: ((Y1 @ Y5 @ Y8) => (Y7 @ Y8))))) => (Y7 @ Y6)))))) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y7) & (Y1 @ Y7 @ Y8)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: ((Y1 @ Y2 @ Y7) => (Y6 @ Y7))))) => (Y6 @ Y5)))) | (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y3 @ Y2 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y3 @ Y8 @ Y7) & (Y6 @ Y8)) => (Y6 @ Y7))))))) => (Y6 @ Y5))))) => (Y4 @ Y5))))) => (Y4 @ Y0)))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (((Y3 @ Y2 @ Y5) | (Y1 @ Y2 @ Y5)) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y3 @ Y5 @ Y6) | (Y1 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6))))))) => (Y4 @ Y0)))))))))))))) = $true)), 2.20/0.67 inference(cnf_transformation,[],[f5])). 2.20/0.67 thf(f5,plain,( 2.20/0.67 ((~ (!! @ a @ (^[Y0 : a]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (!! @ a @ (^[Y2 : a]: (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: ((!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y5) & ((!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y3 @ Y8 @ Y9) & (Y7 @ Y8)) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: ((Y3 @ Y5 @ Y8) => (Y7 @ Y8))))) => (Y7 @ Y6)))) | (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y1 @ Y8 @ Y9) & (Y7 @ Y8)) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: ((Y1 @ Y5 @ Y8) => (Y7 @ Y8))))) => (Y7 @ Y6)))))) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y7) & (Y1 @ Y7 @ Y8)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: ((Y1 @ Y2 @ Y7) => (Y6 @ Y7))))) => (Y6 @ Y5)))) | (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y3 @ Y2 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y3 @ Y8 @ Y7) & (Y6 @ Y8)) => (Y6 @ Y7))))))) => (Y6 @ Y5))))) => (Y4 @ Y5))))) => (Y4 @ Y0)))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (((Y3 @ Y2 @ Y5) | (Y1 @ Y2 @ Y5)) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y3 @ Y5 @ Y6) | (Y1 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6))))))) => (Y4 @ Y0)))))))))))))) = $true)), 2.20/0.67 inference(fool_elimination,[],[f4])). 2.20/0.67 thf(f4,plain,( 2.20/0.67 ~! [X0 : a > a > $o,X1 : a,X2 : a > a > $o,X3 : a] : (! [X4 : a > $o] : ((! [X5 : a] : ((! [X6 : a > $o] : ((! [X7 : a,X8 : a] : (((X6 @ X7) & (X0 @ X7 @ X8)) => (X6 @ X8)) & ! [X9 : a] : ((X0 @ X1 @ X9) => (X6 @ X9))) => (X6 @ X5)) | ! [X10 : a > $o] : ((! [X11 : a] : ((X2 @ X1 @ X11) => (X10 @ X11)) & ! [X12 : a,X13 : a] : (((X2 @ X13 @ X12) & (X10 @ X13)) => (X10 @ X12))) => (X10 @ X5))) => (X4 @ X5)) & ! [X14 : a,X15 : a] : (((! [X16 : a > $o] : ((! [X17 : a] : ((X2 @ X15 @ X17) => (X16 @ X17)) & ! [X18 : a,X19 : a] : (((X16 @ X19) & (X2 @ X19 @ X18)) => (X16 @ X18))) => (X16 @ X14)) | ! [X20 : a > $o] : ((! [X21 : a] : ((X0 @ X15 @ X21) => (X20 @ X21)) & ! [X22 : a,X23 : a] : (((X20 @ X23) & (X0 @ X23 @ X22)) => (X20 @ X22))) => (X20 @ X14))) & (X4 @ X15)) => (X4 @ X14))) => (X4 @ X3)) => ! [X24 : a > $o] : ((! [X25 : a,X26 : a] : (((X24 @ X26) & ((X2 @ X26 @ X25) | (X0 @ X26 @ X25))) => (X24 @ X25)) & ! [X27 : a] : (((X2 @ X1 @ X27) | (X0 @ X1 @ X27)) => (X24 @ X27))) => (X24 @ X3)))), 2.20/0.67 inference(rectify,[],[f2])). 2.20/0.67 thf(f2,negated_conjecture,( 2.20/0.67 ~! [X0 : a > a > $o,X2 : a,X1 : a > a > $o,X3 : a] : (! [X4 : a > $o] : ((! [X8 : a] : ((! [X7 : a > $o] : ((! [X5 : a,X6 : a] : (((X7 @ X5) & (X0 @ X5 @ X6)) => (X7 @ X6)) & ! [X11 : a] : ((X0 @ X2 @ X11) => (X7 @ X11))) => (X7 @ X8)) | ! [X7 : a > $o] : ((! [X11 : a] : ((X1 @ X2 @ X11) => (X7 @ X11)) & ! [X6 : a,X5 : a] : (((X1 @ X5 @ X6) & (X7 @ X5)) => (X7 @ X6))) => (X7 @ X8))) => (X4 @ X8)) & ! [X6 : a,X5 : a] : (((! [X7 : a > $o] : ((! [X8 : a] : ((X1 @ X5 @ X8) => (X7 @ X8)) & ! [X10 : a,X9 : a] : (((X7 @ X9) & (X1 @ X9 @ X10)) => (X7 @ X10))) => (X7 @ X6)) | ! [X7 : a > $o] : ((! [X8 : a] : ((X0 @ X5 @ X8) => (X7 @ X8)) & ! [X10 : a,X9 : a] : (((X7 @ X9) & (X0 @ X9 @ X10)) => (X7 @ X10))) => (X7 @ X6))) & (X4 @ X5)) => (X4 @ X6))) => (X4 @ X3)) => ! [X4 : a > $o] : ((! [X6 : a,X5 : a] : (((X4 @ X5) & ((X1 @ X5 @ X6) | (X0 @ X5 @ X6))) => (X4 @ X6)) & ! [X8 : a] : (((X1 @ X2 @ X8) | (X0 @ X2 @ X8)) => (X4 @ X8))) => (X4 @ X3)))), 2.20/0.67 inference(negated_conjecture,[],[f1])). 2.20/0.67 thf(f1,conjecture,( 2.20/0.67 ! [X0 : a > a > $o,X2 : a,X1 : a > a > $o,X3 : a] : (! [X4 : a > $o] : ((! [X8 : a] : ((! [X7 : a > $o] : ((! [X5 : a,X6 : a] : (((X7 @ X5) & (X0 @ X5 @ X6)) => (X7 @ X6)) & ! [X11 : a] : ((X0 @ X2 @ X11) => (X7 @ X11))) => (X7 @ X8)) | ! [X7 : a > $o] : ((! [X11 : a] : ((X1 @ X2 @ X11) => (X7 @ X11)) & ! [X6 : a,X5 : a] : (((X1 @ X5 @ X6) & (X7 @ X5)) => (X7 @ X6))) => (X7 @ X8))) => (X4 @ X8)) & ! [X6 : a,X5 : a] : (((! [X7 : a > $o] : ((! [X8 : a] : ((X1 @ X5 @ X8) => (X7 @ X8)) & ! [X10 : a,X9 : a] : (((X7 @ X9) & (X1 @ X9 @ X10)) => (X7 @ X10))) => (X7 @ X6)) | ! [X7 : a > $o] : ((! [X8 : a] : ((X0 @ X5 @ X8) => (X7 @ X8)) & ! [X10 : a,X9 : a] : (((X7 @ X9) & (X0 @ X9 @ X10)) => (X7 @ X10))) => (X7 @ X6))) & (X4 @ X5)) => (X4 @ X6))) => (X4 @ X3)) => ! [X4 : a > $o] : ((! [X6 : a,X5 : a] : (((X4 @ X5) & ((X1 @ X5 @ X6) | (X0 @ X5 @ X6))) => (X4 @ X6)) & ! [X8 : a] : (((X1 @ X2 @ X8) | (X0 @ X2 @ X8)) => (X4 @ X8))) => (X4 @ X3)))), 2.20/0.67 file('/export/starexec/sandbox/tmp/tmp.0ML6kDQOES/Vampire---4.8_11158',cTHM251C_pme)). 2.20/0.67 thf(f2009,plain,( 2.20/0.67 ~spl0_17), 2.20/0.67 inference(avatar_contradiction_clause,[],[f2008])). 2.20/0.67 thf(f2008,plain,( 2.20/0.67 $false | ~spl0_17), 2.20/0.67 inference(trivial_inequality_removal,[],[f2007])). 2.20/0.67 thf(f2007,plain,( 2.20/0.67 ($false = $true) | ~spl0_17), 2.20/0.67 inference(forward_demodulation,[],[f2006,f1971])). 2.20/0.67 thf(f1971,plain,( 2.20/0.67 ((sK6 @ sK31) = $false) | ~spl0_17), 2.20/0.67 inference(binary_proxy_clausification,[],[f1959])). 2.20/0.67 thf(f1959,plain,( 2.20/0.67 ((((sK6 @ sK30) & (sK3 @ sK30 @ sK31)) => (sK6 @ sK31)) = $false) | ~spl0_17), 2.20/0.67 inference(beta_eta_normalization,[],[f1958])). 2.20/0.67 thf(f1958,plain,( 2.20/0.67 (((^[Y0 : a]: (((sK6 @ sK30) & (sK3 @ sK30 @ Y0)) => (sK6 @ Y0))) @ sK31) = $false) | ~spl0_17), 2.20/0.67 inference(sigma_clausification,[],[f1946])). 2.20/0.67 thf(f1946,plain,( 2.20/0.67 ((!! @ a @ (^[Y0 : a]: (((sK6 @ sK30) & (sK3 @ sK30 @ Y0)) => (sK6 @ Y0)))) = $false) | ~spl0_17), 2.20/0.67 inference(beta_eta_normalization,[],[f1941])). 2.20/0.67 thf(f1941,plain,( 2.20/0.67 ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y0) & (sK3 @ Y0 @ Y1)) => (sK6 @ Y1))))) @ sK30)) | ~spl0_17), 2.20/0.67 inference(sigma_clausification,[],[f463])). 2.20/0.67 thf(f463,plain,( 2.20/0.67 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y0) & (sK3 @ Y0 @ Y1)) => (sK6 @ Y1)))))) = $false) | ~spl0_17), 2.20/0.67 inference(avatar_component_clause,[],[f462])). 2.20/0.67 thf(f462,plain,( 2.20/0.67 spl0_17 <=> ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y0) & (sK3 @ Y0 @ Y1)) => (sK6 @ Y1)))))) = $false)), 2.20/0.67 introduced(avatar_definition,[new_symbols(naming,[spl0_17])])). 2.20/0.67 thf(f2006,plain,( 2.20/0.67 ((sK6 @ sK31) = $true) | ~spl0_17), 2.20/0.67 inference(boolean_simplification,[],[f2005])). 2.20/0.67 thf(f2005,plain,( 2.20/0.67 ($true = ($true => (sK6 @ sK31))) | ~spl0_17), 2.20/0.67 inference(forward_demodulation,[],[f2004,f1989])). 2.20/0.67 thf(f1989,plain,( 2.20/0.67 ($true = (sK6 @ sK30)) | ~spl0_17), 2.20/0.67 inference(binary_proxy_clausification,[],[f1972])). 2.20/0.67 thf(f1972,plain,( 2.20/0.67 ($true = ((sK6 @ sK30) & (sK3 @ sK30 @ sK31))) | ~spl0_17), 2.20/0.67 inference(binary_proxy_clausification,[],[f1959])). 2.20/0.67 thf(f2004,plain,( 2.20/0.67 (((sK6 @ sK30) => (sK6 @ sK31)) = $true) | ~spl0_17), 2.20/0.67 inference(boolean_simplification,[],[f2003])). 2.20/0.67 thf(f2003,plain,( 2.20/0.67 ($true = (($true & (sK6 @ sK30)) => (sK6 @ sK31))) | ~spl0_17), 2.20/0.67 inference(boolean_simplification,[],[f2002])). 2.20/0.67 thf(f2002,plain,( 2.20/0.67 ($true = ((((sK5 @ sK30 @ sK31) | $true) & (sK6 @ sK30)) => (sK6 @ sK31))) | ~spl0_17), 2.20/0.67 inference(superposition,[],[f68,f1991])). 2.20/0.67 thf(f1991,plain,( 2.20/0.67 ($true = (sK3 @ sK30 @ sK31)) | ~spl0_17), 2.20/0.67 inference(boolean_simplification,[],[f1990])). 2.20/0.67 thf(f1990,plain,( 2.20/0.67 ($true = ($true & (sK3 @ sK30 @ sK31))) | ~spl0_17), 2.20/0.67 inference(backward_demodulation,[],[f1972,f1989])). 2.20/0.67 thf(f1937,plain,( 2.20/0.67 ~spl0_16), 2.20/0.67 inference(avatar_contradiction_clause,[],[f1936])). 2.20/0.67 thf(f1936,plain,( 2.20/0.67 $false | ~spl0_16), 2.20/0.67 inference(trivial_inequality_removal,[],[f1935])). 2.20/0.67 thf(f1935,plain,( 2.20/0.67 ($false = $true) | ~spl0_16), 2.20/0.67 inference(backward_demodulation,[],[f1930,f1926])). 2.20/0.67 thf(f1926,plain,( 2.20/0.67 ((sK6 @ sK29) = $false) | ~spl0_16), 2.20/0.67 inference(binary_proxy_clausification,[],[f1923])). 2.20/0.67 thf(f1923,plain,( 2.20/0.67 (((sK3 @ sK4 @ sK29) => (sK6 @ sK29)) = $false) | ~spl0_16), 2.20/0.67 inference(beta_eta_normalization,[],[f1918])). 2.20/0.67 thf(f1918,plain,( 2.20/0.67 ($false = ((^[Y0 : a]: ((sK3 @ sK4 @ Y0) => (sK6 @ Y0))) @ sK29)) | ~spl0_16), 2.20/0.67 inference(sigma_clausification,[],[f460])). 2.20/0.67 thf(f460,plain,( 2.20/0.67 ((!! @ a @ (^[Y0 : a]: ((sK3 @ sK4 @ Y0) => (sK6 @ Y0)))) = $false) | ~spl0_16), 2.20/0.67 inference(avatar_component_clause,[],[f459])). 2.20/0.67 thf(f459,plain,( 2.20/0.67 spl0_16 <=> ((!! @ a @ (^[Y0 : a]: ((sK3 @ sK4 @ Y0) => (sK6 @ Y0)))) = $false)), 2.20/0.67 introduced(avatar_definition,[new_symbols(naming,[spl0_16])])). 2.20/0.67 thf(f1930,plain,( 2.20/0.67 ((sK6 @ sK29) = $true) | ~spl0_16), 2.20/0.67 inference(trivial_inequality_removal,[],[f1929])). 2.20/0.67 thf(f1929,plain,( 2.20/0.67 ((sK6 @ sK29) = $true) | ($false = $true) | ~spl0_16), 2.20/0.67 inference(boolean_simplification,[],[f1928])). 2.20/0.67 thf(f1928,plain,( 2.20/0.67 ($false = ($false => (sK6 @ sK29))) | ((sK6 @ sK29) = $true) | ~spl0_16), 2.20/0.67 inference(superposition,[],[f1923,f405])). 2.20/0.67 thf(f405,plain,( 2.20/0.67 ( ! [X1 : a] : (($false = (sK3 @ sK4 @ X1)) | ((sK6 @ X1) = $true)) )), 2.20/0.67 inference(binary_proxy_clausification,[],[f36])). 2.20/0.67 thf(f36,plain,( 2.20/0.67 ( ! [X1 : a] : (($false = ((sK5 @ sK4 @ X1) | (sK3 @ sK4 @ X1))) | ((sK6 @ X1) = $true)) )), 2.20/0.67 inference(binary_proxy_clausification,[],[f35])). 2.20/0.67 thf(f35,plain,( 2.20/0.67 ( ! [X1 : a] : (($true = (((sK5 @ sK4 @ X1) | (sK3 @ sK4 @ X1)) => (sK6 @ X1)))) )), 2.20/0.67 inference(beta_eta_normalization,[],[f34])). 2.20/0.67 thf(f34,plain,( 2.20/0.67 ( ! [X1 : a] : ((((^[Y0 : a]: (((sK5 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK6 @ Y0))) @ X1) = $true)) )), 2.20/0.67 inference(pi_clausification,[],[f33])). 2.20/0.67 thf(f33,plain,( 2.20/0.67 ($true = (!! @ a @ (^[Y0 : a]: (((sK5 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK6 @ Y0)))))), 2.20/0.67 inference(boolean_simplification,[],[f32])). 2.20/0.67 thf(f32,plain,( 2.20/0.67 (((!! @ a @ (^[Y0 : a]: (((sK5 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK6 @ Y0)))) & $true) = $true)), 2.20/0.67 inference(backward_demodulation,[],[f25,f30])). 2.20/0.67 thf(f1688,plain,( 2.20/0.67 ~spl0_13), 2.20/0.67 inference(avatar_contradiction_clause,[],[f1687])). 2.20/0.67 thf(f1687,plain,( 2.20/0.67 $false | ~spl0_13), 2.20/0.67 inference(trivial_inequality_removal,[],[f1686])). 2.20/0.67 thf(f1686,plain,( 2.20/0.67 ($false = $true) | ~spl0_13), 2.20/0.67 inference(boolean_simplification,[],[f1685])). 2.20/0.67 thf(f1685,plain,( 2.20/0.67 ($true = (~ $true)) | ~spl0_13), 2.20/0.67 inference(boolean_simplification,[],[f1684])). 2.20/0.67 thf(f1684,plain,( 2.20/0.67 ($true = (~ ($true | (sK3 @ sK4 @ sK28)))) | ~spl0_13), 2.20/0.67 inference(forward_demodulation,[],[f1681,f1665])). 2.20/0.67 thf(f1665,plain,( 2.20/0.67 ((sK5 @ sK4 @ sK28) = $true) | ~spl0_13), 2.20/0.67 inference(binary_proxy_clausification,[],[f1663])). 2.20/0.67 thf(f1663,plain,( 2.20/0.67 (((sK5 @ sK4 @ sK28) => (sK6 @ sK28)) = $false) | ~spl0_13), 2.20/0.67 inference(beta_eta_normalization,[],[f1659])). 2.20/0.67 thf(f1659,plain,( 2.20/0.67 ($false = ((^[Y0 : a]: ((sK5 @ sK4 @ Y0) => (sK6 @ Y0))) @ sK28)) | ~spl0_13), 2.20/0.67 inference(sigma_clausification,[],[f354])). 2.20/0.67 thf(f354,plain,( 2.20/0.67 ($false = (!! @ a @ (^[Y0 : a]: ((sK5 @ sK4 @ Y0) => (sK6 @ Y0))))) | ~spl0_13), 2.20/0.67 inference(avatar_component_clause,[],[f353])). 2.20/0.67 thf(f353,plain,( 2.20/0.67 spl0_13 <=> ($false = (!! @ a @ (^[Y0 : a]: ((sK5 @ sK4 @ Y0) => (sK6 @ Y0)))))), 2.20/0.67 introduced(avatar_definition,[new_symbols(naming,[spl0_13])])). 2.20/0.67 thf(f1681,plain,( 2.20/0.67 ($true = (~ ((sK5 @ sK4 @ sK28) | (sK3 @ sK4 @ sK28)))) | ~spl0_13), 2.20/0.67 inference(boolean_simplification,[],[f1677])). 2.20/0.67 thf(f1677,plain,( 2.20/0.67 ($true = (((sK5 @ sK4 @ sK28) | (sK3 @ sK4 @ sK28)) => $false)) | ~spl0_13), 2.20/0.67 inference(superposition,[],[f35,f1664])). 2.20/0.67 thf(f1664,plain,( 2.20/0.67 ($false = (sK6 @ sK28)) | ~spl0_13), 2.20/0.67 inference(binary_proxy_clausification,[],[f1663])). 2.20/0.67 thf(f1436,plain,( 2.20/0.67 ~spl0_31), 2.20/0.67 inference(avatar_contradiction_clause,[],[f1435])). 2.20/0.67 thf(f1435,plain,( 2.20/0.67 $false | ~spl0_31), 2.20/0.67 inference(trivial_inequality_removal,[],[f1434])). 2.20/0.67 thf(f1434,plain,( 2.20/0.67 ($false = $true) | ~spl0_31), 2.20/0.67 inference(forward_demodulation,[],[f1433,f1320])). 2.20/0.67 thf(f1320,plain,( 2.20/0.67 ((sK6 @ sK25) = $false) | ~spl0_31), 2.20/0.67 inference(binary_proxy_clausification,[],[f1315])). 2.20/0.67 thf(f1315,plain,( 2.20/0.67 ($false = (((sK5 @ sK24 @ sK25) & (sK6 @ sK24)) => (sK6 @ sK25))) | ~spl0_31), 2.20/0.67 inference(beta_eta_normalization,[],[f1314])). 2.20/0.67 thf(f1314,plain,( 2.20/0.67 ($false = ((^[Y0 : a]: (((sK5 @ sK24 @ Y0) & (sK6 @ sK24)) => (sK6 @ Y0))) @ sK25)) | ~spl0_31), 2.20/0.67 inference(sigma_clausification,[],[f1299])). 2.20/0.67 thf(f1299,plain,( 2.20/0.67 ((!! @ a @ (^[Y0 : a]: (((sK5 @ sK24 @ Y0) & (sK6 @ sK24)) => (sK6 @ Y0)))) = $false) | ~spl0_31), 2.20/0.67 inference(beta_eta_normalization,[],[f1297])). 2.20/0.67 thf(f1297,plain,( 2.20/0.67 ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y0 @ Y1) & (sK6 @ Y0)) => (sK6 @ Y1))))) @ sK24)) | ~spl0_31), 2.20/0.67 inference(sigma_clausification,[],[f1240])). 2.20/0.67 thf(f1240,plain,( 2.20/0.67 ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y0 @ Y1) & (sK6 @ Y0)) => (sK6 @ Y1))))))) | ~spl0_31), 2.20/0.67 inference(avatar_component_clause,[],[f1239])). 2.20/0.67 thf(f1239,plain,( 2.20/0.67 spl0_31 <=> ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y0 @ Y1) & (sK6 @ Y0)) => (sK6 @ Y1)))))))), 2.20/0.67 introduced(avatar_definition,[new_symbols(naming,[spl0_31])])). 2.20/0.67 thf(f1433,plain,( 2.20/0.67 ((sK6 @ sK25) = $true) | ~spl0_31), 2.20/0.67 inference(boolean_simplification,[],[f1432])). 2.20/0.67 thf(f1432,plain,( 2.20/0.67 (($true => (sK6 @ sK25)) = $true) | ~spl0_31), 2.20/0.67 inference(forward_demodulation,[],[f1431,f1389])). 2.20/0.67 thf(f1389,plain,( 2.20/0.67 ((sK6 @ sK24) = $true) | ~spl0_31), 2.20/0.67 inference(boolean_simplification,[],[f1388])). 2.20/0.67 thf(f1388,plain,( 2.20/0.67 ($true = ($true & (sK6 @ sK24))) | ~spl0_31), 2.20/0.67 inference(backward_demodulation,[],[f1321,f1387])). 2.20/0.67 thf(f1387,plain,( 2.20/0.67 ($true = (sK5 @ sK24 @ sK25)) | ~spl0_31), 2.20/0.67 inference(binary_proxy_clausification,[],[f1321])). 2.20/0.67 thf(f1321,plain,( 2.20/0.67 ($true = ((sK5 @ sK24 @ sK25) & (sK6 @ sK24))) | ~spl0_31), 2.20/0.67 inference(binary_proxy_clausification,[],[f1315])). 2.20/0.67 thf(f1431,plain,( 2.20/0.67 (((sK6 @ sK24) => (sK6 @ sK25)) = $true) | ~spl0_31), 2.20/0.67 inference(boolean_simplification,[],[f1430])). 2.20/0.67 thf(f1430,plain,( 2.20/0.67 ($true = (($true & (sK6 @ sK24)) => (sK6 @ sK25))) | ~spl0_31), 2.20/0.67 inference(boolean_simplification,[],[f1429])). 2.20/0.67 thf(f1429,plain,( 2.20/0.67 ($true = ((($true | (sK3 @ sK24 @ sK25)) & (sK6 @ sK24)) => (sK6 @ sK25))) | ~spl0_31), 2.20/0.67 inference(superposition,[],[f68,f1387])). 2.20/0.67 thf(f1284,plain,( 2.20/0.67 ~spl0_1 | ~spl0_32), 2.20/0.67 inference(avatar_contradiction_clause,[],[f1283])). 2.20/0.67 thf(f1283,plain,( 2.20/0.67 $false | (~spl0_1 | ~spl0_32)), 2.20/0.67 inference(trivial_inequality_removal,[],[f1282])). 2.20/0.67 thf(f1282,plain,( 2.20/0.67 ($false = $true) | (~spl0_1 | ~spl0_32)), 2.20/0.67 inference(boolean_simplification,[],[f1281])). 2.20/0.67 thf(f1281,plain,( 2.20/0.67 ($true = (~ $true)) | (~spl0_1 | ~spl0_32)), 2.20/0.67 inference(boolean_simplification,[],[f1280])). 2.20/0.67 thf(f1280,plain,( 2.20/0.67 ((~ ($true | (sK3 @ sK14 @ sK23))) = $true) | (~spl0_1 | ~spl0_32)), 2.20/0.67 inference(forward_demodulation,[],[f1274,f1264])). 2.20/0.67 thf(f1264,plain,( 2.20/0.67 ($true = (sK5 @ sK14 @ sK23)) | ~spl0_32), 2.20/0.67 inference(binary_proxy_clausification,[],[f1260])). 2.20/0.67 thf(f1260,plain,( 2.20/0.67 (((sK5 @ sK14 @ sK23) => (sK6 @ sK23)) = $false) | ~spl0_32), 2.20/0.67 inference(beta_eta_normalization,[],[f1258])). 2.20/0.67 thf(f1258,plain,( 2.20/0.67 ($false = ((^[Y0 : a]: ((sK5 @ sK14 @ Y0) => (sK6 @ Y0))) @ sK23)) | ~spl0_32), 2.20/0.67 inference(sigma_clausification,[],[f1243])). 2.20/0.67 thf(f1243,plain,( 2.20/0.67 ((!! @ a @ (^[Y0 : a]: ((sK5 @ sK14 @ Y0) => (sK6 @ Y0)))) = $false) | ~spl0_32), 2.20/0.67 inference(avatar_component_clause,[],[f1242])). 2.20/0.67 thf(f1242,plain,( 2.20/0.67 spl0_32 <=> ((!! @ a @ (^[Y0 : a]: ((sK5 @ sK14 @ Y0) => (sK6 @ Y0)))) = $false)), 2.20/0.67 introduced(avatar_definition,[new_symbols(naming,[spl0_32])])). 2.20/0.67 thf(f1274,plain,( 2.20/0.67 ($true = (~ ((sK5 @ sK14 @ sK23) | (sK3 @ sK14 @ sK23)))) | (~spl0_1 | ~spl0_32)), 2.20/0.67 inference(boolean_simplification,[],[f1267])). 2.20/0.67 thf(f1267,plain,( 2.20/0.67 ($true = (((sK5 @ sK14 @ sK23) | (sK3 @ sK14 @ sK23)) => $false)) | (~spl0_1 | ~spl0_32)), 2.20/0.67 inference(superposition,[],[f631,f1266])). 2.20/0.67 thf(f1266,plain,( 2.20/0.67 ($false = (sK6 @ sK23)) | ~spl0_32), 2.20/0.67 inference(boolean_simplification,[],[f1265])). 2.20/0.67 thf(f1265,plain,( 2.20/0.67 (($true => (sK6 @ sK23)) = $false) | ~spl0_32), 2.20/0.67 inference(backward_demodulation,[],[f1260,f1264])). 2.20/0.67 thf(f631,plain,( 2.20/0.67 ( ! [X0 : a] : (($true = (((sK5 @ sK14 @ X0) | (sK3 @ sK14 @ X0)) => (sK6 @ X0)))) ) | ~spl0_1), 2.20/0.67 inference(boolean_simplification,[],[f627])). 2.20/0.67 thf(f627,plain,( 2.20/0.67 ( ! [X0 : a] : (($true = ((((sK5 @ sK14 @ X0) | (sK3 @ sK14 @ X0)) & $true) => (sK6 @ X0)))) ) | ~spl0_1), 2.20/0.67 inference(superposition,[],[f68,f624])). 2.20/0.67 thf(f624,plain,( 2.20/0.67 ($true = (sK6 @ sK14)) | ~spl0_1), 2.20/0.67 inference(boolean_simplification,[],[f623])). 2.20/0.67 thf(f623,plain,( 2.20/0.67 (((sK6 @ sK14) & $true) = $true) | ~spl0_1), 2.20/0.67 inference(backward_demodulation,[],[f498,f621])). 2.20/0.67 thf(f621,plain,( 2.20/0.67 ($true = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK5 @ sK14 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK15)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK3 @ sK14 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK15)))))) | ~spl0_1), 2.20/0.67 inference(binary_proxy_clausification,[],[f498])). 2.20/0.67 thf(f498,plain,( 2.20/0.67 ($true = ((sK6 @ sK14) & ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK5 @ sK14 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK15)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK3 @ sK14 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK15))))))) | ~spl0_1), 2.20/0.67 inference(binary_proxy_clausification,[],[f488])). 2.20/0.67 thf(f488,plain,( 2.20/0.67 ((((sK6 @ sK14) & ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK5 @ sK14 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK15)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK3 @ sK14 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK15)))))) => (sK6 @ sK15)) = $false) | ~spl0_1), 2.20/0.67 inference(beta_eta_normalization,[],[f487])). 2.20/0.67 thf(f487,plain,( 2.20/0.67 (((^[Y0 : a]: (((sK6 @ sK14) & ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK5 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: ((sK5 @ sK14 @ Y2) => (Y1 @ Y2))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: ((sK3 @ sK14 @ Y2) => (Y1 @ Y2))))) => (Y1 @ Y0)))))) => (sK6 @ Y0))) @ sK15) = $false) | ~spl0_1), 2.20/0.67 inference(sigma_clausification,[],[f473])). 2.20/0.67 thf(f473,plain,( 2.20/0.67 ($false = (!! @ a @ (^[Y0 : a]: (((sK6 @ sK14) & ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK5 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: ((sK5 @ sK14 @ Y2) => (Y1 @ Y2))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: ((sK3 @ sK14 @ Y2) => (Y1 @ Y2))))) => (Y1 @ Y0)))))) => (sK6 @ Y0))))) | ~spl0_1), 2.20/0.67 inference(beta_eta_normalization,[],[f471])). 2.20/0.67 thf(f471,plain,( 2.20/0.67 ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y0) & ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK5 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK3 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1)))))) => (sK6 @ Y1))))) @ sK14)) | ~spl0_1), 2.20/0.67 inference(sigma_clausification,[],[f122])). 2.20/0.67 thf(f122,plain,( 2.20/0.67 ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y0) & ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK5 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK3 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1)))))) => (sK6 @ Y1))))))) | ~spl0_1), 2.20/0.67 inference(avatar_component_clause,[],[f121])). 2.20/0.67 thf(f121,plain,( 2.20/0.67 spl0_1 <=> ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y0) & ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK5 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK3 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1)))))) => (sK6 @ Y1)))))))), 2.20/0.67 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])). 2.20/0.67 thf(f1244,plain,( 2.20/0.67 spl0_31 | spl0_32 | ~spl0_1 | ~spl0_21), 2.20/0.67 inference(avatar_split_clause,[],[f1235,f772,f121,f1242,f1239])). 2.20/0.67 thf(f772,plain,( 2.20/0.67 spl0_21 <=> ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK5 @ sK14 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK15)))))), 2.20/0.67 introduced(avatar_definition,[new_symbols(naming,[spl0_21])])). 2.20/0.67 thf(f1235,plain,( 2.20/0.67 ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y0 @ Y1) & (sK6 @ Y0)) => (sK6 @ Y1))))))) | ((!! @ a @ (^[Y0 : a]: ((sK5 @ sK14 @ Y0) => (sK6 @ Y0)))) = $false) | (~spl0_1 | ~spl0_21)), 2.20/0.67 inference(binary_proxy_clausification,[],[f1221])). 2.20/0.67 thf(f1221,plain,( 2.20/0.67 ($false = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y0 @ Y1) & (sK6 @ Y0)) => (sK6 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: ((sK5 @ sK14 @ Y0) => (sK6 @ Y0)))))) | (~spl0_1 | ~spl0_21)), 2.20/0.67 inference(not_proxy_clausification,[],[f1137])). 2.20/0.67 thf(f1137,plain,( 2.20/0.67 ((~ ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y0 @ Y1) & (sK6 @ Y0)) => (sK6 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: ((sK5 @ sK14 @ Y0) => (sK6 @ Y0)))))) = $true) | (~spl0_1 | ~spl0_21)), 2.20/0.67 inference(boolean_simplification,[],[f1128])). 2.20/0.67 thf(f1128,plain,( 2.20/0.67 ((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y0 @ Y1) & (sK6 @ Y0)) => (sK6 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: ((sK5 @ sK14 @ Y0) => (sK6 @ Y0))))) => $false) = $true) | (~spl0_1 | ~spl0_21)), 2.20/0.67 inference(superposition,[],[f1114,f500])). 2.20/0.67 thf(f500,plain,( 2.20/0.67 ($false = (sK6 @ sK15)) | ~spl0_1), 2.20/0.67 inference(boolean_simplification,[],[f499])). 2.20/0.67 thf(f499,plain,( 2.20/0.67 ($false = ($true => (sK6 @ sK15))) | ~spl0_1), 2.20/0.67 inference(backward_demodulation,[],[f488,f498])). 2.20/0.67 thf(f1114,plain,( 2.20/0.67 ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y0 @ Y1) & (X1 @ Y0)) => (X1 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: ((sK5 @ sK14 @ Y0) => (X1 @ Y0))))) => (X1 @ sK15)))) ) | ~spl0_21), 2.20/0.67 inference(beta_eta_normalization,[],[f1113])). 2.20/0.67 thf(f1113,plain,( 2.20/0.67 ( ! [X1 : a > $o] : ((((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK5 @ sK14 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK15))) @ X1) = $true)) ) | ~spl0_21), 2.20/0.67 inference(pi_clausification,[],[f773])). 2.20/0.67 thf(f773,plain,( 2.20/0.67 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK5 @ sK14 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK15))))) | ~spl0_21), 2.20/0.67 inference(avatar_component_clause,[],[f772])). 2.20/0.67 thf(f1110,plain,( 2.20/0.67 ~spl0_1 | ~spl0_26), 2.20/0.67 inference(avatar_contradiction_clause,[],[f1109])). 2.20/0.67 thf(f1109,plain,( 2.20/0.67 $false | (~spl0_1 | ~spl0_26)), 2.20/0.67 inference(trivial_inequality_removal,[],[f1108])). 2.20/0.67 thf(f1108,plain,( 2.20/0.67 ($false = $true) | (~spl0_1 | ~spl0_26)), 2.20/0.67 inference(boolean_simplification,[],[f1107])). 2.20/0.67 thf(f1107,plain,( 2.20/0.67 ($true = (~ $true)) | (~spl0_1 | ~spl0_26)), 2.20/0.67 inference(boolean_simplification,[],[f1106])). 2.20/0.67 thf(f1106,plain,( 2.20/0.67 ($true = (~ ((sK5 @ sK14 @ sK20) | $true))) | (~spl0_1 | ~spl0_26)), 2.20/0.67 inference(forward_demodulation,[],[f1099,f1090])). 2.20/0.67 thf(f1090,plain,( 2.20/0.67 ($true = (sK3 @ sK14 @ sK20)) | ~spl0_26), 2.20/0.67 inference(binary_proxy_clausification,[],[f1074])). 2.20/0.67 thf(f1074,plain,( 2.20/0.67 ($false = ((sK3 @ sK14 @ sK20) => (sK6 @ sK20))) | ~spl0_26), 2.20/0.67 inference(beta_eta_normalization,[],[f1072])). 2.20/0.67 thf(f1072,plain,( 2.20/0.67 ($false = ((^[Y0 : a]: ((sK3 @ sK14 @ Y0) => (sK6 @ Y0))) @ sK20)) | ~spl0_26), 2.20/0.67 inference(sigma_clausification,[],[f936])). 2.20/0.67 thf(f936,plain,( 2.20/0.67 ($false = (!! @ a @ (^[Y0 : a]: ((sK3 @ sK14 @ Y0) => (sK6 @ Y0))))) | ~spl0_26), 2.20/0.67 inference(avatar_component_clause,[],[f935])). 2.20/0.67 thf(f935,plain,( 2.20/0.67 spl0_26 <=> ($false = (!! @ a @ (^[Y0 : a]: ((sK3 @ sK14 @ Y0) => (sK6 @ Y0)))))), 2.20/0.67 introduced(avatar_definition,[new_symbols(naming,[spl0_26])])). 2.20/0.67 thf(f1099,plain,( 2.20/0.67 ($true = (~ ((sK5 @ sK14 @ sK20) | (sK3 @ sK14 @ sK20)))) | (~spl0_1 | ~spl0_26)), 2.20/0.67 inference(boolean_simplification,[],[f1093])). 2.20/0.67 thf(f1093,plain,( 2.20/0.67 ((((sK5 @ sK14 @ sK20) | (sK3 @ sK14 @ sK20)) => $false) = $true) | (~spl0_1 | ~spl0_26)), 2.20/0.67 inference(superposition,[],[f631,f1092])). 2.20/0.67 thf(f1092,plain,( 2.20/0.67 ($false = (sK6 @ sK20)) | ~spl0_26), 2.20/0.67 inference(boolean_simplification,[],[f1091])). 2.20/0.67 thf(f1091,plain,( 2.20/0.67 (($true => (sK6 @ sK20)) = $false) | ~spl0_26), 2.20/0.67 inference(backward_demodulation,[],[f1074,f1090])). 2.20/0.67 thf(f1069,plain,( 2.20/0.67 ~spl0_27), 2.20/0.67 inference(avatar_contradiction_clause,[],[f1068])). 2.20/0.67 thf(f1068,plain,( 2.20/0.67 $false | ~spl0_27), 2.20/0.67 inference(trivial_inequality_removal,[],[f1067])). 2.20/0.67 thf(f1067,plain,( 2.20/0.67 ($false = $true) | ~spl0_27), 2.20/0.67 inference(forward_demodulation,[],[f1066,f981])). 2.20/0.67 thf(f981,plain,( 2.20/0.67 ($false = (sK6 @ sK18)) | ~spl0_27), 2.20/0.67 inference(binary_proxy_clausification,[],[f969])). 2.20/0.67 thf(f969,plain,( 2.20/0.67 ($false = (((sK3 @ sK17 @ sK18) & (sK6 @ sK17)) => (sK6 @ sK18))) | ~spl0_27), 2.20/0.67 inference(beta_eta_normalization,[],[f968])). 2.20/0.67 thf(f968,plain,( 2.20/0.67 ($false = ((^[Y0 : a]: (((sK3 @ sK17 @ Y0) & (sK6 @ sK17)) => (sK6 @ Y0))) @ sK18)) | ~spl0_27), 2.20/0.67 inference(sigma_clausification,[],[f956])). 2.20/0.67 thf(f956,plain,( 2.20/0.67 ($false = (!! @ a @ (^[Y0 : a]: (((sK3 @ sK17 @ Y0) & (sK6 @ sK17)) => (sK6 @ Y0))))) | ~spl0_27), 2.20/0.67 inference(beta_eta_normalization,[],[f954])). 2.20/0.67 thf(f954,plain,( 2.20/0.67 (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y0 @ Y1) & (sK6 @ Y0)) => (sK6 @ Y1))))) @ sK17) = $false) | ~spl0_27), 2.20/0.67 inference(sigma_clausification,[],[f939])). 2.20/0.67 thf(f939,plain,( 2.20/0.67 ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y0 @ Y1) & (sK6 @ Y0)) => (sK6 @ Y1))))))) | ~spl0_27), 2.20/0.67 inference(avatar_component_clause,[],[f938])). 2.20/0.67 thf(f938,plain,( 2.20/0.67 spl0_27 <=> ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y0 @ Y1) & (sK6 @ Y0)) => (sK6 @ Y1)))))))), 2.20/0.67 introduced(avatar_definition,[new_symbols(naming,[spl0_27])])). 2.20/0.67 thf(f1066,plain,( 2.20/0.67 ($true = (sK6 @ sK18)) | ~spl0_27), 2.20/0.67 inference(boolean_simplification,[],[f1065])). 2.20/0.67 thf(f1065,plain,( 2.20/0.67 (($true => (sK6 @ sK18)) = $true) | ~spl0_27), 2.20/0.67 inference(forward_demodulation,[],[f1064,f1035])). 2.20/0.67 thf(f1035,plain,( 2.20/0.67 ($true = (sK6 @ sK17)) | ~spl0_27), 2.20/0.67 inference(binary_proxy_clausification,[],[f982])). 2.20/0.67 thf(f982,plain,( 2.20/0.67 (((sK3 @ sK17 @ sK18) & (sK6 @ sK17)) = $true) | ~spl0_27), 2.20/0.67 inference(binary_proxy_clausification,[],[f969])). 2.20/0.67 thf(f1064,plain,( 2.20/0.67 (((sK6 @ sK17) => (sK6 @ sK18)) = $true) | ~spl0_27), 2.20/0.67 inference(boolean_simplification,[],[f1063])). 2.20/0.67 thf(f1063,plain,( 2.20/0.67 ((($true & (sK6 @ sK17)) => (sK6 @ sK18)) = $true) | ~spl0_27), 2.20/0.67 inference(boolean_simplification,[],[f1062])). 2.20/0.67 thf(f1062,plain,( 2.20/0.67 ($true = ((((sK5 @ sK17 @ sK18) | $true) & (sK6 @ sK17)) => (sK6 @ sK18))) | ~spl0_27), 2.20/0.67 inference(superposition,[],[f68,f1038])). 2.20/0.67 thf(f1038,plain,( 2.20/0.67 ((sK3 @ sK17 @ sK18) = $true) | ~spl0_27), 2.20/0.67 inference(boolean_simplification,[],[f1037])). 2.20/0.67 thf(f1037,plain,( 2.20/0.67 (((sK3 @ sK17 @ sK18) & $true) = $true) | ~spl0_27), 2.20/0.67 inference(backward_demodulation,[],[f982,f1035])). 2.20/0.67 thf(f940,plain,( 2.20/0.67 spl0_26 | spl0_27 | ~spl0_1 | ~spl0_20), 2.20/0.67 inference(avatar_split_clause,[],[f931,f769,f121,f938,f935])). 2.20/0.67 thf(f769,plain,( 2.20/0.67 spl0_20 <=> ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK3 @ sK14 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK15)))))), 2.20/0.67 introduced(avatar_definition,[new_symbols(naming,[spl0_20])])). 2.20/0.67 thf(f931,plain,( 2.20/0.67 ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y0 @ Y1) & (sK6 @ Y0)) => (sK6 @ Y1))))))) | ($false = (!! @ a @ (^[Y0 : a]: ((sK3 @ sK14 @ Y0) => (sK6 @ Y0))))) | (~spl0_1 | ~spl0_20)), 2.20/0.67 inference(binary_proxy_clausification,[],[f917])). 2.20/0.67 thf(f917,plain,( 2.20/0.67 ($false = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y0 @ Y1) & (sK6 @ Y0)) => (sK6 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: ((sK3 @ sK14 @ Y0) => (sK6 @ Y0)))))) | (~spl0_1 | ~spl0_20)), 2.20/0.67 inference(not_proxy_clausification,[],[f810])). 2.20/0.67 thf(f810,plain,( 2.20/0.67 ($true = (~ ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y0 @ Y1) & (sK6 @ Y0)) => (sK6 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: ((sK3 @ sK14 @ Y0) => (sK6 @ Y0))))))) | (~spl0_1 | ~spl0_20)), 2.20/0.67 inference(boolean_simplification,[],[f800])). 2.20/0.67 thf(f800,plain,( 2.20/0.67 ((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y0 @ Y1) & (sK6 @ Y0)) => (sK6 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: ((sK3 @ sK14 @ Y0) => (sK6 @ Y0))))) => $false) = $true) | (~spl0_1 | ~spl0_20)), 2.20/0.67 inference(superposition,[],[f787,f500])). 2.20/0.67 thf(f787,plain,( 2.20/0.67 ( ! [X1 : a > $o] : (((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y0 @ Y1) & (X1 @ Y0)) => (X1 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: ((sK3 @ sK14 @ Y0) => (X1 @ Y0))))) => (X1 @ sK15)) = $true)) ) | ~spl0_20), 2.20/0.67 inference(beta_eta_normalization,[],[f786])). 2.20/0.67 thf(f786,plain,( 2.20/0.67 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK3 @ sK14 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK15))) @ X1))) ) | ~spl0_20), 2.20/0.67 inference(pi_clausification,[],[f770])). 2.20/0.67 thf(f770,plain,( 2.20/0.67 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK3 @ sK14 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK15))))) | ~spl0_20), 2.20/0.67 inference(avatar_component_clause,[],[f769])). 2.20/0.67 thf(f774,plain,( 2.20/0.67 spl0_20 | spl0_21 | ~spl0_1), 2.20/0.67 inference(avatar_split_clause,[],[f767,f121,f772,f769])). 2.20/0.67 thf(f767,plain,( 2.20/0.67 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK5 @ sK14 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK15))))) | ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK3 @ sK14 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK15))))) | ~spl0_1), 2.20/0.67 inference(binary_proxy_clausification,[],[f621])). 2.20/0.67 thf(f464,plain,( 2.20/0.67 spl0_16 | spl0_17 | ~spl0_2 | ~spl0_4), 2.20/0.67 inference(avatar_split_clause,[],[f455,f216,f124,f462,f459])). 2.20/0.67 thf(f124,plain,( 2.20/0.67 spl0_2 <=> ($false = (!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & (sK3 @ Y2 @ Y3)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: ((sK3 @ sK4 @ Y2) => (Y1 @ Y2))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK5 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK5 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ Y0))))) => (sK6 @ Y0)))))), 2.20/0.67 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 2.20/0.67 thf(f216,plain,( 2.20/0.67 spl0_4 <=> ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & (sK3 @ Y1 @ Y2)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK3 @ sK4 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK7)))) = $true)), 2.20/0.67 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])). 2.20/0.67 thf(f455,plain,( 2.20/0.67 ((!! @ a @ (^[Y0 : a]: ((sK3 @ sK4 @ Y0) => (sK6 @ Y0)))) = $false) | ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y0) & (sK3 @ Y0 @ Y1)) => (sK6 @ Y1)))))) = $false) | (~spl0_2 | ~spl0_4)), 2.20/0.67 inference(binary_proxy_clausification,[],[f451])). 2.20/0.67 thf(f451,plain,( 2.20/0.67 ($false = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y0) & (sK3 @ Y0 @ Y1)) => (sK6 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: ((sK3 @ sK4 @ Y0) => (sK6 @ Y0)))))) | (~spl0_2 | ~spl0_4)), 2.20/0.67 inference(not_proxy_clausification,[],[f376])). 2.20/0.67 thf(f376,plain,( 2.20/0.67 ($true = (~ ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y0) & (sK3 @ Y0 @ Y1)) => (sK6 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: ((sK3 @ sK4 @ Y0) => (sK6 @ Y0))))))) | (~spl0_2 | ~spl0_4)), 2.20/0.67 inference(boolean_simplification,[],[f371])). 2.20/0.67 thf(f371,plain,( 2.20/0.67 ($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y0) & (sK3 @ Y0 @ Y1)) => (sK6 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: ((sK3 @ sK4 @ Y0) => (sK6 @ Y0))))) => $false)) | (~spl0_2 | ~spl0_4)), 2.20/0.67 inference(superposition,[],[f361,f137])). 2.20/0.67 thf(f137,plain,( 2.20/0.67 ($false = (sK6 @ sK7)) | ~spl0_2), 2.20/0.67 inference(boolean_simplification,[],[f136])). 2.20/0.67 thf(f136,plain,( 2.20/0.67 ($false = ($true => (sK6 @ sK7))) | ~spl0_2), 2.20/0.67 inference(backward_demodulation,[],[f131,f135])). 2.20/0.67 thf(f135,plain,( 2.20/0.67 ($true = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & (sK3 @ Y1 @ Y2)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK3 @ sK4 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK7)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK5 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y2 @ Y1) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK7)))))) | ~spl0_2), 2.20/0.67 inference(binary_proxy_clausification,[],[f131])). 2.20/0.67 thf(f131,plain,( 2.20/0.67 ($false = (((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & (sK3 @ Y1 @ Y2)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK3 @ sK4 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK7)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK5 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y2 @ Y1) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK7))))) => (sK6 @ sK7))) | ~spl0_2), 2.20/0.67 inference(beta_eta_normalization,[],[f129])). 2.20/0.67 thf(f129,plain,( 2.20/0.67 (((^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & (sK3 @ Y2 @ Y3)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: ((sK3 @ sK4 @ Y2) => (Y1 @ Y2))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK5 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK5 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ Y0))))) => (sK6 @ Y0))) @ sK7) = $false) | ~spl0_2), 2.20/0.67 inference(sigma_clausification,[],[f125])). 2.20/0.67 thf(f125,plain,( 2.20/0.67 ($false = (!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & (sK3 @ Y2 @ Y3)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: ((sK3 @ sK4 @ Y2) => (Y1 @ Y2))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK5 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK5 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ Y0))))) => (sK6 @ Y0))))) | ~spl0_2), 2.20/0.67 inference(avatar_component_clause,[],[f124])). 2.20/0.67 thf(f361,plain,( 2.20/0.67 ( ! [X1 : a > $o] : (((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((X1 @ Y0) & (sK3 @ Y0 @ Y1)) => (X1 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: ((sK3 @ sK4 @ Y0) => (X1 @ Y0))))) => (X1 @ sK7)) = $true)) ) | ~spl0_4), 2.20/0.67 inference(beta_eta_normalization,[],[f360])). 2.20/0.67 thf(f360,plain,( 2.20/0.67 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & (sK3 @ Y1 @ Y2)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK3 @ sK4 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK7))) @ X1))) ) | ~spl0_4), 2.20/0.67 inference(pi_clausification,[],[f217])). 2.20/0.67 thf(f217,plain,( 2.20/0.67 ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & (sK3 @ Y1 @ Y2)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK3 @ sK4 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK7)))) = $true) | ~spl0_4), 2.20/0.67 inference(avatar_component_clause,[],[f216])). 2.20/0.67 thf(f355,plain,( 2.20/0.67 spl0_12 | spl0_13 | ~spl0_2 | ~spl0_3), 2.20/0.67 inference(avatar_split_clause,[],[f346,f213,f124,f353,f350])). 2.20/0.67 thf(f213,plain,( 2.20/0.67 spl0_3 <=> ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK5 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y2 @ Y1) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK7)))) = $true)), 2.20/0.67 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])). 2.20/0.67 thf(f346,plain,( 2.20/0.67 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y1 @ Y0) & (sK6 @ Y1)) => (sK6 @ Y0)))))) = $false) | ($false = (!! @ a @ (^[Y0 : a]: ((sK5 @ sK4 @ Y0) => (sK6 @ Y0))))) | (~spl0_2 | ~spl0_3)), 2.20/0.67 inference(binary_proxy_clausification,[],[f338])). 2.20/0.67 thf(f338,plain,( 2.20/0.67 ($false = ((!! @ a @ (^[Y0 : a]: ((sK5 @ sK4 @ Y0) => (sK6 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y1 @ Y0) & (sK6 @ Y1)) => (sK6 @ Y0)))))))) | (~spl0_2 | ~spl0_3)), 2.20/0.67 inference(not_proxy_clausification,[],[f322])). 2.20/0.67 thf(f322,plain,( 2.20/0.67 ((~ ((!! @ a @ (^[Y0 : a]: ((sK5 @ sK4 @ Y0) => (sK6 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y1 @ Y0) & (sK6 @ Y1)) => (sK6 @ Y0)))))))) = $true) | (~spl0_2 | ~spl0_3)), 2.20/0.67 inference(boolean_simplification,[],[f319])). 2.20/0.67 thf(f319,plain,( 2.20/0.67 ((((!! @ a @ (^[Y0 : a]: ((sK5 @ sK4 @ Y0) => (sK6 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y1 @ Y0) & (sK6 @ Y1)) => (sK6 @ Y0))))))) => $false) = $true) | (~spl0_2 | ~spl0_3)), 2.20/0.67 inference(superposition,[],[f304,f137])). 2.20/0.67 thf(f304,plain,( 2.20/0.67 ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: ((sK5 @ sK4 @ Y0) => (X1 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y1 @ Y0) & (X1 @ Y1)) => (X1 @ Y0))))))) => (X1 @ sK7)))) ) | ~spl0_3), 2.20/0.67 inference(beta_eta_normalization,[],[f303])). 2.20/0.67 thf(f303,plain,( 2.20/0.67 ( ! [X1 : a > $o] : ((((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK5 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y2 @ Y1) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK7))) @ X1) = $true)) ) | ~spl0_3), 2.20/0.67 inference(pi_clausification,[],[f214])). 2.20/0.67 thf(f214,plain,( 2.20/0.67 ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK5 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y2 @ Y1) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK7)))) = $true) | ~spl0_3), 2.20/0.67 inference(avatar_component_clause,[],[f213])). 2.20/0.67 thf(f218,plain,( 2.20/0.67 spl0_3 | spl0_4 | ~spl0_2), 2.20/0.67 inference(avatar_split_clause,[],[f211,f124,f216,f213])). 2.20/0.67 thf(f211,plain,( 2.20/0.67 ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK5 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y2 @ Y1) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK7)))) = $true) | ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & (sK3 @ Y1 @ Y2)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK3 @ sK4 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK7)))) = $true) | ~spl0_2), 2.20/0.67 inference(binary_proxy_clausification,[],[f135])). 2.20/0.67 thf(f126,plain,( 2.20/0.67 spl0_1 | spl0_2), 2.20/0.67 inference(avatar_split_clause,[],[f117,f124,f121])). 2.20/0.67 thf(f117,plain,( 2.20/0.67 ($false = (!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & (sK3 @ Y2 @ Y3)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: ((sK3 @ sK4 @ Y2) => (Y1 @ Y2))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK5 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK5 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ Y0))))) => (sK6 @ Y0))))) | ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y0) & ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK5 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK3 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1)))))) => (sK6 @ Y1)))))))), 2.20/0.67 inference(binary_proxy_clausification,[],[f101])). 2.20/0.67 thf(f101,plain,( 2.20/0.67 ($false = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y0) & ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK5 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK3 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1)))))) => (sK6 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & (sK3 @ Y2 @ Y3)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: ((sK3 @ sK4 @ Y2) => (Y1 @ Y2))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK5 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK5 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ Y0))))) => (sK6 @ Y0))))))), 2.20/0.67 inference(not_proxy_clausification,[],[f46])). 2.20/0.67 thf(f46,plain,( 2.20/0.67 ((~ ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y0) & ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK5 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK3 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1)))))) => (sK6 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & (sK3 @ Y2 @ Y3)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: ((sK3 @ sK4 @ Y2) => (Y1 @ Y2))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK5 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK5 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ Y0))))) => (sK6 @ Y0)))))) = $true)), 2.20/0.67 inference(boolean_simplification,[],[f45])). 2.20/0.67 thf(f45,plain,( 2.20/0.67 ($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y0) & ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK5 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK3 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1)))))) => (sK6 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & (sK3 @ Y2 @ Y3)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: ((sK3 @ sK4 @ Y2) => (Y1 @ Y2))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK5 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK5 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ Y0))))) => (sK6 @ Y0))))) => $false))), 2.20/0.67 inference(superposition,[],[f40,f24])). 2.20/0.67 thf(f24,plain,( 2.20/0.67 ($false = (sK6 @ sK2))), 2.20/0.67 inference(binary_proxy_clausification,[],[f23])). 2.20/0.67 thf(f40,plain,( 2.20/0.67 ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((X1 @ Y0) & ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK5 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK3 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1)))))) => (X1 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & (sK3 @ Y2 @ Y3)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: ((sK3 @ sK4 @ Y2) => (Y1 @ Y2))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK5 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK5 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ Y0))))) => (X1 @ Y0))))) => (X1 @ sK2)))) )), 2.20/0.67 inference(beta_eta_normalization,[],[f39])). 2.20/0.67 thf(f39,plain,( 2.20/0.67 ( ! [X1 : a > $o] : ((((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK5 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: ((sK5 @ Y1 @ Y4) => (Y3 @ Y4))))) => (Y3 @ Y2)))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK3 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: ((sK3 @ Y1 @ Y4) => (Y3 @ Y4))))) => (Y3 @ Y2)))))) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & (sK3 @ Y3 @ Y4)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK3 @ sK4 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK5 @ sK4 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y4 @ Y3) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y1))))) => (Y0 @ Y1))))) => (Y0 @ sK2))) @ X1) = $true)) )), 2.20/0.67 inference(pi_clausification,[],[f19])). 2.20/0.67 % SZS output end Proof for Vampire---4 2.20/0.67 % (11436)------------------------------ 2.20/0.67 % (11436)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.20/0.67 % (11436)Termination reason: Refutation 2.20/0.67 2.20/0.67 % (11436)Memory used [KB]: 7036 2.20/0.67 % (11436)Time elapsed: 0.195 s 2.20/0.67 % (11436)Instructions burned: 353 (million) 2.20/0.67 % (11436)------------------------------ 2.20/0.67 % (11436)------------------------------ 2.20/0.67 % (11395)Success in time 0.291 s 2.20/0.67 % Vampire---4.8 exiting 2.20/0.67 EOF