0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s 0.11/0.33 % Computer : n004.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 300 0.11/0.33 % WCLimit : 300 0.11/0.33 % DateTime : Fri Jul 5 04:30:54 EDT 2024 0.11/0.33 % CPUTime : 0.11/0.35 This is a THF_ problem 0.11/0.35 Running vampire_ho --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.11/0.37 % (27179)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on theBenchmark for (2999ds/385Mi) 0.19/0.37 % (27183)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on theBenchmark for (2999ds/915Mi) 0.19/0.37 % (27181)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 theBenchmark for (2999ds/74Mi) 0.19/0.37 % (27182)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi) 0.19/0.37 % (27180)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi) 0.19/0.37 % (27178)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on theBenchmark for (2999ds/34Mi) 0.19/0.37 % (27177)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on theBenchmark for (2999ds/36Mi) 0.19/0.37 % (27182)Instruction limit reached! 0.19/0.37 % (27182)------------------------------ 0.19/0.37 % (27182)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.37 % (27182)Termination reason: Unknown 0.19/0.37 % (27182)Termination phase: Preprocessing 3 0.19/0.37 0.19/0.37 % (27182)Memory used [KB]: 1023 0.19/0.37 % (27182)Time elapsed: 0.003 s 0.19/0.37 % (27182)Instructions burned: 4 (million) 0.19/0.37 % (27182)------------------------------ 0.19/0.37 % (27182)------------------------------ 0.19/0.37 % (27176)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2999ds/96Mi) 0.19/0.37 % (27180)Instruction limit reached! 0.19/0.37 % (27180)------------------------------ 0.19/0.37 % (27180)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.37 % (27180)Termination reason: Unknown 0.19/0.37 % (27180)Termination phase: Saturation 0.19/0.37 0.19/0.37 % (27180)Memory used [KB]: 5884 0.19/0.37 % (27180)Time elapsed: 0.009 s 0.19/0.37 % (27177)Refutation not found, incomplete strategy 0.19/0.37 % (27177)------------------------------ 0.19/0.37 % (27177)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.37 % (27180)Instructions burned: 17 (million) 0.19/0.37 % (27180)------------------------------ 0.19/0.37 % (27180)------------------------------ 0.19/0.37 % (27177)Termination reason: Refutation not found, incomplete strategy 0.19/0.37 0.19/0.37 0.19/0.37 % (27177)Memory used [KB]: 5500 0.19/0.37 % (27177)Time elapsed: 0.008 s 0.19/0.37 % (27177)Instructions burned: 15 (million) 0.19/0.37 % (27177)------------------------------ 0.19/0.37 % (27177)------------------------------ 0.19/0.38 % (27178)Instruction limit reached! 0.19/0.38 % (27178)------------------------------ 0.19/0.38 % (27178)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.38 % (27178)Termination reason: Unknown 0.19/0.38 % (27178)Termination phase: Saturation 0.19/0.38 0.19/0.38 % (27178)Memory used [KB]: 5628 0.19/0.38 % (27178)Time elapsed: 0.016 s 0.19/0.38 % (27178)Instructions burned: 34 (million) 0.19/0.38 % (27178)------------------------------ 0.19/0.38 % (27178)------------------------------ 0.19/0.38 % (27184)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 theBenchmark for (2999ds/21Mi) 0.19/0.39 % (27185)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi) 0.19/0.39 % (27185)Instruction limit reached! 0.19/0.39 % (27185)------------------------------ 0.19/0.39 % (27185)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.39 % (27185)Termination reason: Unknown 0.19/0.39 % (27185)Termination phase: Saturation 0.19/0.39 0.19/0.39 % (27185)Memory used [KB]: 5500 0.19/0.39 % (27185)Time elapsed: 0.005 s 0.19/0.39 % (27185)Instructions burned: 8 (million) 0.19/0.39 % (27185)------------------------------ 0.19/0.39 % (27185)------------------------------ 0.19/0.39 % (27186)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 theBenchmark for (2999ds/1021Mi) 0.19/0.39 % (27187)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2999ds/71Mi) 0.19/0.39 % (27184)Instruction limit reached! 0.19/0.39 % (27184)------------------------------ 0.19/0.39 % (27184)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.39 % (27184)Termination reason: Unknown 0.19/0.39 % (27184)Termination phase: Saturation 0.19/0.39 0.19/0.39 % (27184)Memory used [KB]: 5628 0.19/0.39 % (27184)Time elapsed: 0.013 s 0.19/0.39 % (27184)Instructions burned: 22 (million) 0.19/0.39 % (27184)------------------------------ 0.19/0.39 % (27184)------------------------------ 0.19/0.40 % (27181)Instruction limit reached! 0.19/0.40 % (27181)------------------------------ 0.19/0.40 % (27181)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.40 % (27181)Termination reason: Unknown 0.19/0.40 % (27181)Termination phase: Saturation 0.19/0.40 0.19/0.40 % (27181)Memory used [KB]: 5756 0.19/0.40 % (27181)Time elapsed: 0.037 s 0.19/0.40 % (27181)Instructions burned: 75 (million) 0.19/0.40 % (27181)------------------------------ 0.19/0.40 % (27181)------------------------------ 0.19/0.40 % (27188)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 theBenchmark for (2999ds/9Mi) 0.19/0.41 % (27188)Instruction limit reached! 0.19/0.41 % (27188)------------------------------ 0.19/0.41 % (27188)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.41 % (27188)Termination reason: Unknown 0.19/0.41 % (27188)Termination phase: Saturation 0.19/0.41 0.19/0.41 % (27188)Memory used [KB]: 5500 0.19/0.41 % (27188)Time elapsed: 0.006 s 0.19/0.41 % (27188)Instructions burned: 10 (million) 0.19/0.41 % (27188)------------------------------ 0.19/0.41 % (27188)------------------------------ 0.19/0.41 % (27189)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on theBenchmark for (2999ds/1044Mi) 0.19/0.41 % (27190)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on theBenchmark for (2999ds/128Mi) 0.19/0.42 % (27176)Instruction limit reached! 0.19/0.42 % (27176)------------------------------ 0.19/0.42 % (27176)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.42 % (27176)Termination reason: Unknown 0.19/0.42 % (27176)Termination phase: Saturation 0.19/0.42 0.19/0.42 % (27176)Memory used [KB]: 6012 0.19/0.42 % (27176)Time elapsed: 0.052 s 0.19/0.42 % (27176)Instructions burned: 96 (million) 0.19/0.42 % (27176)------------------------------ 0.19/0.42 % (27176)------------------------------ 0.19/0.42 % (27191)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on theBenchmark for (2999ds/61Mi) 0.19/0.43 % (27187)Instruction limit reached! 0.19/0.43 % (27187)------------------------------ 0.19/0.43 % (27187)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.43 % (27187)Termination reason: Unknown 0.19/0.43 % (27187)Termination phase: Saturation 0.19/0.43 0.19/0.43 % (27187)Memory used [KB]: 5628 0.19/0.43 % (27187)Time elapsed: 0.035 s 0.19/0.43 % (27187)Instructions burned: 71 (million) 0.19/0.43 % (27187)------------------------------ 0.19/0.43 % (27187)------------------------------ 0.19/0.43 % (27192)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on theBenchmark for (2999ds/14Mi) 0.19/0.43 % (27192)Instruction limit reached! 0.19/0.43 % (27192)------------------------------ 0.19/0.43 % (27192)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.43 % (27192)Termination reason: Unknown 0.19/0.43 % (27192)Termination phase: Saturation 0.19/0.43 0.19/0.43 % (27192)Memory used [KB]: 5500 0.19/0.43 % (27192)Time elapsed: 0.006 s 0.19/0.43 % (27192)Instructions burned: 16 (million) 0.19/0.43 % (27192)------------------------------ 0.19/0.43 % (27192)------------------------------ 0.19/0.44 % (27194)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 theBenchmark for (2999ds/1041Mi) 0.19/0.44 % (27193)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 theBenchmark for (2999ds/2Mi) 0.19/0.45 % (27193)Instruction limit reached! 0.19/0.45 % (27193)------------------------------ 0.19/0.45 % (27193)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.45 % (27193)Termination reason: Unknown 0.19/0.45 % (27193)Termination phase: Property scanning 0.19/0.45 0.19/0.45 % (27193)Memory used [KB]: 1023 0.19/0.45 % (27193)Time elapsed: 0.003 s 0.19/0.45 % (27193)Instructions burned: 3 (million) 0.19/0.45 % (27193)------------------------------ 0.19/0.45 % (27193)------------------------------ 0.19/0.45 % (27191)Instruction limit reached! 0.19/0.45 % (27191)------------------------------ 0.19/0.45 % (27191)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.45 % (27191)Termination reason: Unknown 0.19/0.45 % (27191)Termination phase: Saturation 0.19/0.45 0.19/0.45 % (27191)Memory used [KB]: 5756 0.19/0.45 % (27191)Time elapsed: 0.028 s 0.19/0.45 % (27191)Instructions burned: 62 (million) 0.19/0.45 % (27191)------------------------------ 0.19/0.45 % (27191)------------------------------ 0.19/0.46 % (27195)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2999ds/11Mi) 0.19/0.46 % (27196)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2999ds/140Mi) 0.19/0.46 % (27195)Instruction limit reached! 0.19/0.46 % (27195)------------------------------ 0.19/0.46 % (27195)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.46 % (27195)Termination reason: Unknown 0.19/0.47 % (27195)Termination phase: Saturation 0.19/0.47 0.19/0.47 % (27195)Memory used [KB]: 5500 0.19/0.47 % (27195)Time elapsed: 0.007 s 0.19/0.47 % (27195)Instructions burned: 12 (million) 0.19/0.47 % (27195)------------------------------ 0.19/0.47 % (27195)------------------------------ 0.19/0.47 % (27196)Refutation not found, incomplete strategy 0.19/0.47 % (27196)------------------------------ 0.19/0.47 % (27196)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.47 % (27196)Termination reason: Refutation not found, incomplete strategy 0.19/0.47 0.19/0.47 0.19/0.47 % (27196)Memory used [KB]: 5500 0.19/0.47 % (27196)Time elapsed: 0.006 s 0.19/0.47 % (27196)Instructions burned: 6 (million) 0.19/0.47 % (27196)------------------------------ 0.19/0.47 % (27196)------------------------------ 0.19/0.47 % (27190)Instruction limit reached! 0.19/0.47 % (27190)------------------------------ 0.19/0.47 % (27190)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.47 % (27190)Termination reason: Unknown 0.19/0.47 % (27190)Termination phase: Saturation 0.19/0.47 0.19/0.47 % (27190)Memory used [KB]: 6140 0.19/0.47 % (27190)Time elapsed: 0.057 s 0.19/0.47 % (27190)Instructions burned: 129 (million) 0.19/0.47 % (27190)------------------------------ 0.19/0.47 % (27190)------------------------------ 0.19/0.48 % (27197)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 theBenchmark for (2998ds/26Mi) 0.19/0.48 % (27198)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on theBenchmark for (2998ds/56Mi) 0.19/0.48 % (27199)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2998ds/275Mi) 0.19/0.49 % (27197)Instruction limit reached! 0.19/0.49 % (27197)------------------------------ 0.19/0.49 % (27197)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.49 % (27197)Termination reason: Unknown 0.19/0.49 % (27197)Termination phase: Saturation 0.19/0.49 0.19/0.49 % (27197)Memory used [KB]: 5500 0.19/0.49 % (27197)Time elapsed: 0.013 s 0.19/0.49 % (27197)Instructions burned: 26 (million) 0.19/0.49 % (27197)------------------------------ 0.19/0.49 % (27197)------------------------------ 0.19/0.50 % (27198)Instruction limit reached! 0.19/0.50 % (27198)------------------------------ 0.19/0.50 % (27198)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.50 % (27198)Termination reason: Unknown 0.19/0.50 % (27198)Termination phase: Saturation 0.19/0.50 0.19/0.50 % (27198)Memory used [KB]: 1279 0.19/0.50 % (27198)Time elapsed: 0.025 s 0.19/0.50 % (27198)Instructions burned: 58 (million) 0.19/0.50 % (27198)------------------------------ 0.19/0.50 % (27198)------------------------------ 0.19/0.51 % (27200)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi) 0.19/0.51 % (27200)Instruction limit reached! 0.19/0.51 % (27200)------------------------------ 0.19/0.51 % (27200)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.51 % (27200)Termination reason: Unknown 0.19/0.51 % (27200)Termination phase: Preprocessing 3 0.19/0.51 0.19/0.51 % (27200)Memory used [KB]: 1023 0.19/0.51 % (27200)Time elapsed: 0.004 s 0.19/0.51 % (27200)Instructions burned: 4 (million) 0.19/0.51 % (27200)------------------------------ 0.19/0.51 % (27200)------------------------------ 0.19/0.52 % (27201)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 theBenchmark for (2998ds/19Mi) 0.19/0.52 % (27202)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 theBenchmark for (2998ds/44Mi) 0.19/0.53 % (27201)Instruction limit reached! 0.19/0.53 % (27201)------------------------------ 0.19/0.53 % (27201)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.53 % (27201)Termination reason: Unknown 0.19/0.53 % (27201)Termination phase: Saturation 0.19/0.53 0.19/0.53 % (27201)Memory used [KB]: 5500 0.19/0.53 % (27201)Time elapsed: 0.010 s 0.19/0.53 % (27201)Instructions burned: 20 (million) 0.19/0.53 % (27201)------------------------------ 0.19/0.53 % (27201)------------------------------ 0.19/0.53 % (27179)Instruction limit reached! 0.19/0.53 % (27179)------------------------------ 0.19/0.53 % (27179)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.53 % (27179)Termination reason: Unknown 0.19/0.53 % (27179)Termination phase: Saturation 0.19/0.53 0.19/0.53 % (27179)Memory used [KB]: 7291 0.19/0.53 % (27179)Time elapsed: 0.165 s 0.19/0.53 % (27179)Instructions burned: 386 (million) 0.19/0.53 % (27179)------------------------------ 0.19/0.53 % (27179)------------------------------ 0.19/0.54 % (27203)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=191:si=on:rtra=on_0 on theBenchmark for (2998ds/191Mi) 0.19/0.54 % (27204)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2998ds/62Mi) 0.19/0.54 % (27202)Instruction limit reached! 0.19/0.54 % (27202)------------------------------ 0.19/0.54 % (27202)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.54 % (27202)Termination reason: Unknown 0.19/0.54 % (27202)Termination phase: Saturation 0.19/0.54 0.19/0.54 % (27202)Memory used [KB]: 1151 0.19/0.54 % (27202)Time elapsed: 0.021 s 0.19/0.54 % (27202)Instructions burned: 44 (million) 0.19/0.54 % (27202)------------------------------ 0.19/0.54 % (27202)------------------------------ 1.61/0.56 % (27205)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=105:si=on:rtra=on_0 on theBenchmark for (2998ds/105Mi) 1.74/0.57 % (27204)Instruction limit reached! 1.74/0.57 % (27204)------------------------------ 1.74/0.57 % (27204)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.74/0.57 % (27204)Termination reason: Unknown 1.74/0.57 % (27204)Termination phase: Saturation 1.74/0.57 1.74/0.57 % (27204)Memory used [KB]: 5884 1.74/0.57 % (27204)Time elapsed: 0.052 s 1.74/0.57 % (27204)Instructions burned: 63 (million) 1.74/0.57 % (27204)------------------------------ 1.74/0.57 % (27204)------------------------------ 1.74/0.59 % (27206)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi) 1.74/0.59 % (27206)Instruction limit reached! 1.74/0.59 % (27206)------------------------------ 1.74/0.59 % (27206)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.74/0.59 % (27206)Termination reason: Unknown 1.74/0.59 % (27206)Termination phase: Preprocessing 3 1.74/0.59 1.74/0.59 % (27206)Memory used [KB]: 1023 1.74/0.59 % (27206)Time elapsed: 0.004 s 1.74/0.59 % (27206)Instructions burned: 4 (million) 1.74/0.59 % (27206)------------------------------ 1.74/0.59 % (27206)------------------------------ 1.74/0.60 % (27207)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 theBenchmark for (2997ds/238Mi) 1.74/0.60 % (27199)Instruction limit reached! 1.74/0.60 % (27199)------------------------------ 1.74/0.60 % (27199)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.74/0.60 % (27199)Termination reason: Unknown 1.74/0.60 % (27199)Termination phase: Saturation 1.74/0.60 1.74/0.60 % (27199)Memory used [KB]: 6780 1.74/0.60 % (27205)Instruction limit reached! 1.74/0.60 % (27205)------------------------------ 1.74/0.60 % (27205)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.74/0.60 % (27205)Termination reason: Unknown 1.74/0.60 % (27205)Termination phase: Saturation 1.74/0.60 1.74/0.60 % (27205)Memory used [KB]: 6012 1.74/0.60 % (27205)Time elapsed: 0.051 s 1.74/0.60 % (27205)Instructions burned: 107 (million) 1.74/0.60 % (27205)------------------------------ 1.74/0.60 % (27205)------------------------------ 1.74/0.60 % (27199)Time elapsed: 0.122 s 1.74/0.60 % (27199)Instructions burned: 276 (million) 1.74/0.60 % (27199)------------------------------ 1.74/0.60 % (27199)------------------------------ 1.74/0.62 % (27208)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 theBenchmark for (2997ds/3Mi) 1.74/0.62 % (27209)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 theBenchmark for (2997ds/4Mi) 1.74/0.62 % (27208)Instruction limit reached! 1.74/0.62 % (27208)------------------------------ 1.74/0.62 % (27208)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.74/0.62 % (27208)Termination reason: Unknown 1.74/0.62 % (27208)Termination phase: Property scanning 1.74/0.62 1.74/0.62 % (27208)Memory used [KB]: 1023 1.74/0.62 % (27208)Time elapsed: 0.003 s 1.74/0.62 % (27208)Instructions burned: 3 (million) 1.74/0.62 % (27208)------------------------------ 1.74/0.62 % (27208)------------------------------ 1.74/0.62 % (27209)Instruction limit reached! 1.74/0.62 % (27209)------------------------------ 1.74/0.62 % (27209)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.74/0.62 % (27209)Termination reason: Unknown 1.74/0.62 % (27209)Termination phase: Property scanning 1.74/0.62 1.74/0.62 % (27209)Memory used [KB]: 1023 1.74/0.62 % (27209)Time elapsed: 0.004 s 1.74/0.62 % (27209)Instructions burned: 5 (million) 1.74/0.62 % (27209)------------------------------ 1.74/0.62 % (27209)------------------------------ 1.74/0.63 % (27203)Instruction limit reached! 1.74/0.63 % (27203)------------------------------ 1.74/0.63 % (27203)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.74/0.63 % (27203)Termination reason: Unknown 1.74/0.63 % (27203)Termination phase: Saturation 1.74/0.63 1.74/0.63 % (27203)Memory used [KB]: 6524 1.74/0.63 % (27203)Time elapsed: 0.088 s 1.74/0.63 % (27203)Instructions burned: 192 (million) 1.74/0.63 % (27203)------------------------------ 1.74/0.63 % (27203)------------------------------ 1.74/0.63 % (27211)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2997ds/150Mi) 1.74/0.64 % (27210)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 theBenchmark for (2997ds/149Mi) 2.26/0.64 % (27211)Refutation not found, incomplete strategy 2.26/0.64 % (27211)------------------------------ 2.26/0.64 % (27211)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.26/0.64 % (27211)Termination reason: Refutation not found, incomplete strategy 2.26/0.64 2.26/0.64 2.26/0.64 % (27211)Memory used [KB]: 5500 2.26/0.64 % (27211)Time elapsed: 0.008 s 2.26/0.64 % (27211)Instructions burned: 14 (million) 2.26/0.64 % (27211)------------------------------ 2.26/0.64 % (27211)------------------------------ 2.26/0.64 % (27212)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 theBenchmark for (2997ds/199Mi) 2.26/0.66 % (27214)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi) 2.41/0.67 % (27214)Instruction limit reached! 2.41/0.67 % (27214)------------------------------ 2.41/0.67 % (27214)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.41/0.67 % (27214)Termination reason: Unknown 2.41/0.67 % (27214)Termination phase: Saturation 2.41/0.67 2.41/0.67 % (27214)Memory used [KB]: 5628 2.41/0.67 % (27214)Time elapsed: 0.020 s 2.41/0.67 % (27214)Instructions burned: 40 (million) 2.41/0.67 % (27214)------------------------------ 2.41/0.67 % (27214)------------------------------ 2.41/0.69 % (27215)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=721:si=on:rtra=on_0 on theBenchmark for (2996ds/721Mi) 2.41/0.70 % (27210)Instruction limit reached! 2.41/0.70 % (27210)------------------------------ 2.41/0.70 % (27210)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.41/0.70 % (27210)Termination reason: Unknown 2.41/0.70 % (27210)Termination phase: Saturation 2.41/0.70 2.41/0.70 % (27210)Memory used [KB]: 5884 2.41/0.70 % (27210)Time elapsed: 0.063 s 2.41/0.70 % (27210)Instructions burned: 149 (million) 2.41/0.70 % (27210)------------------------------ 2.41/0.70 % (27210)------------------------------ 2.41/0.71 % (27207)Instruction limit reached! 2.41/0.71 % (27207)------------------------------ 2.41/0.71 % (27207)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.41/0.71 % (27207)Termination reason: Unknown 2.41/0.71 % (27207)Termination phase: Saturation 2.41/0.71 2.41/0.71 % (27207)Memory used [KB]: 6012 2.41/0.71 % (27207)Time elapsed: 0.108 s 2.41/0.71 % (27207)Instructions burned: 239 (million) 2.41/0.71 % (27207)------------------------------ 2.41/0.71 % (27207)------------------------------ 2.41/0.72 % (27217)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=3:si=on:rtra=on_0 on theBenchmark for (2996ds/3Mi) 2.41/0.72 % (27217)Instruction limit reached! 2.41/0.72 % (27217)------------------------------ 2.41/0.72 % (27217)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.41/0.72 % (27217)Termination reason: Unknown 2.41/0.72 % (27217)Termination phase: Preprocessing 3 2.41/0.72 2.41/0.72 % (27217)Memory used [KB]: 1023 2.41/0.72 % (27217)Time elapsed: 0.003 s 2.41/0.72 % (27217)Instructions burned: 4 (million) 2.41/0.72 % (27217)------------------------------ 2.41/0.72 % (27217)------------------------------ 2.41/0.72 % (27218)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2996ds/18Mi) 2.88/0.73 % (27218)Instruction limit reached! 2.88/0.73 % (27218)------------------------------ 2.88/0.73 % (27218)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.88/0.73 % (27218)Termination reason: Unknown 2.88/0.73 % (27218)Termination phase: Saturation 2.88/0.73 2.88/0.73 % (27218)Memory used [KB]: 5500 2.88/0.73 % (27218)Time elapsed: 0.009 s 2.88/0.73 % (27218)Instructions burned: 19 (million) 2.88/0.73 % (27218)------------------------------ 2.88/0.73 % (27218)------------------------------ 2.88/0.73 % (27219)lrs+10_1:1_au=on:c=on:sac=on:slsq=on:slsqc=2:i=218:si=on:rtra=on_0 on theBenchmark for (2996ds/218Mi) 2.88/0.73 % (27212)Instruction limit reached! 2.88/0.73 % (27212)------------------------------ 2.88/0.73 % (27212)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.88/0.73 % (27212)Termination reason: Unknown 2.88/0.73 % (27212)Termination phase: Saturation 2.88/0.73 2.88/0.73 % (27212)Memory used [KB]: 5884 2.88/0.73 % (27212)Time elapsed: 0.092 s 2.88/0.73 % (27212)Instructions burned: 200 (million) 2.88/0.73 % (27212)------------------------------ 2.88/0.73 % (27212)------------------------------ 2.88/0.74 % (27220)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2996ds/448Mi) 2.88/0.75 % (27221)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2996ds/6Mi) 2.88/0.75 % (27221)Instruction limit reached! 2.88/0.75 % (27221)------------------------------ 2.88/0.75 % (27221)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.88/0.75 % (27221)Termination reason: Unknown 2.88/0.75 % (27221)Termination phase: Saturation 2.88/0.75 2.88/0.75 % (27221)Memory used [KB]: 5500 2.88/0.75 % (27221)Time elapsed: 0.005 s 2.88/0.75 % (27221)Instructions burned: 8 (million) 2.88/0.75 % (27221)------------------------------ 2.88/0.75 % (27221)------------------------------ 3.13/0.77 % (27222)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=9:si=on:rtra=on_0 on theBenchmark for (2996ds/9Mi) 3.13/0.77 % (27222)Instruction limit reached! 3.13/0.77 % (27222)------------------------------ 3.13/0.77 % (27222)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.13/0.77 % (27222)Termination reason: Unknown 3.13/0.77 % (27222)Termination phase: Saturation 3.13/0.77 3.13/0.77 % (27222)Memory used [KB]: 5500 3.13/0.77 % (27222)Time elapsed: 0.006 s 3.13/0.77 % (27222)Instructions burned: 9 (million) 3.13/0.77 % (27222)------------------------------ 3.13/0.77 % (27222)------------------------------ 3.13/0.78 % (27183)Instruction limit reached! 3.13/0.78 % (27183)------------------------------ 3.13/0.78 % (27183)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.13/0.78 % (27183)Termination reason: Unknown 3.13/0.78 % (27183)Termination phase: Saturation 3.13/0.78 3.13/0.78 % (27183)Memory used [KB]: 10362 3.13/0.78 % (27183)Time elapsed: 0.414 s 3.13/0.78 % (27183)Instructions burned: 916 (million) 3.13/0.78 % (27183)------------------------------ 3.13/0.78 % (27183)------------------------------ 3.13/0.79 % (27223)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2995ds/16Mi) 3.13/0.79 % (27223)Instruction limit reached! 3.13/0.79 % (27223)------------------------------ 3.13/0.79 % (27223)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.13/0.79 % (27223)Termination reason: Unknown 3.13/0.79 % (27223)Termination phase: Saturation 3.13/0.79 3.13/0.79 % (27223)Memory used [KB]: 5884 3.13/0.79 % (27223)Time elapsed: 0.010 s 3.13/0.79 % (27223)Instructions burned: 16 (million) 3.13/0.79 % (27223)------------------------------ 3.13/0.79 % (27223)------------------------------ 3.13/0.79 % (27224)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=40:si=on:rtra=on_0 on theBenchmark for (2995ds/40Mi) 3.13/0.81 % (27225)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2995ds/2Mi) 3.13/0.81 % (27225)Instruction limit reached! 3.13/0.81 % (27225)------------------------------ 3.13/0.81 % (27225)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.13/0.81 % (27225)Termination reason: Unknown 3.13/0.81 % (27225)Termination phase: Property scanning 3.13/0.81 3.13/0.81 % (27225)Memory used [KB]: 1023 3.13/0.81 % (27225)Time elapsed: 0.003 s 3.13/0.81 % (27225)Instructions burned: 3 (million) 3.13/0.81 % (27225)------------------------------ 3.13/0.81 % (27225)------------------------------ 3.13/0.81 % (27224)Instruction limit reached! 3.13/0.81 % (27224)------------------------------ 3.13/0.81 % (27224)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.13/0.81 % (27224)Termination reason: Unknown 3.13/0.81 % (27224)Termination phase: Saturation 3.13/0.81 3.13/0.81 % (27224)Memory used [KB]: 5628 3.13/0.81 % (27224)Time elapsed: 0.019 s 3.13/0.81 % (27224)Instructions burned: 41 (million) 3.13/0.81 % (27224)------------------------------ 3.13/0.81 % (27224)------------------------------ 3.13/0.82 % (27227)lrs+1004_1:1_chr=on:prag=on:i=8:si=on:rtra=on_0 on theBenchmark for (2995ds/8Mi) 3.13/0.82 % (27226)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2995ds/98Mi) 3.46/0.83 % (27219)Instruction limit reached! 3.46/0.83 % (27219)------------------------------ 3.46/0.83 % (27219)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.46/0.83 % (27219)Termination reason: Unknown 3.46/0.83 % (27219)Termination phase: Saturation 3.46/0.83 3.46/0.83 % (27219)Memory used [KB]: 6524 3.46/0.83 % (27219)Time elapsed: 0.096 s 3.46/0.83 % (27219)Instructions burned: 218 (million) 3.46/0.83 % (27219)------------------------------ 3.46/0.83 % (27219)------------------------------ 3.46/0.83 % (27227)Instruction limit reached! 3.46/0.83 % (27227)------------------------------ 3.46/0.83 % (27227)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.46/0.83 % (27227)Termination reason: Unknown 3.46/0.83 % (27227)Termination phase: Saturation 3.46/0.83 3.46/0.83 % (27227)Memory used [KB]: 5500 3.46/0.83 % (27227)Time elapsed: 0.005 s 3.46/0.83 % (27227)Instructions burned: 9 (million) 3.46/0.83 % (27227)------------------------------ 3.46/0.83 % (27227)------------------------------ 3.46/0.84 % (27228)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2995ds/86Mi) 3.46/0.84 % (27229)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2995ds/3Mi) 3.46/0.84 % (27229)Instruction limit reached! 3.46/0.84 % (27229)------------------------------ 3.46/0.84 % (27229)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.46/0.84 % (27229)Termination reason: Unknown 3.46/0.84 % (27229)Termination phase: Preprocessing 3 3.46/0.84 3.46/0.84 % (27229)Memory used [KB]: 1023 3.46/0.84 % (27229)Time elapsed: 0.004 s 3.46/0.84 % (27229)Instructions burned: 5 (million) 3.46/0.84 % (27229)------------------------------ 3.46/0.84 % (27229)------------------------------ 3.46/0.85 % (27194)Instruction limit reached! 3.46/0.85 % (27194)------------------------------ 3.46/0.85 % (27194)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.46/0.85 % (27194)Termination reason: Unknown 3.46/0.85 % (27194)Termination phase: Saturation 3.46/0.85 3.46/0.85 % (27194)Memory used [KB]: 9850 3.46/0.85 % (27194)Time elapsed: 0.415 s 3.46/0.85 % (27194)Instructions burned: 1043 (million) 3.46/0.85 % (27194)------------------------------ 3.46/0.85 % (27194)------------------------------ 3.46/0.86 % (27231)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=274:si=on:rtra=on_0 on theBenchmark for (2995ds/274Mi) 3.46/0.86 % (27186)Instruction limit reached! 3.46/0.86 % (27186)------------------------------ 3.46/0.86 % (27186)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.46/0.86 % (27186)Termination reason: Unknown 3.46/0.86 % (27186)Termination phase: Saturation 3.46/0.86 3.46/0.86 % (27186)Memory used [KB]: 10490 3.46/0.86 % (27186)Time elapsed: 0.470 s 3.46/0.86 % (27186)Instructions burned: 1021 (million) 3.46/0.86 % (27186)------------------------------ 3.46/0.86 % (27186)------------------------------ 3.46/0.86 % (27230)lrs+1010_1:1024_au=on:hud=10:ntd=on:ss=included:i=294:si=on:rtra=on_0 on theBenchmark for (2995ds/294Mi) 3.72/0.87 % (27226)Instruction limit reached! 3.72/0.87 % (27226)------------------------------ 3.72/0.87 % (27226)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.72/0.87 % (27226)Termination reason: Unknown 3.72/0.87 % (27226)Termination phase: Saturation 3.72/0.87 3.72/0.87 % (27226)Memory used [KB]: 1279 3.72/0.87 % (27226)Time elapsed: 0.047 s 3.72/0.87 % (27226)Instructions burned: 98 (million) 3.72/0.87 % (27226)------------------------------ 3.72/0.87 % (27226)------------------------------ 3.72/0.87 % (27232)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2995ds/47Mi) 3.72/0.88 % (27228)Instruction limit reached! 3.72/0.88 % (27228)------------------------------ 3.72/0.88 % (27228)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.72/0.88 % (27228)Termination reason: Unknown 3.72/0.88 % (27228)Termination phase: Saturation 3.72/0.88 3.72/0.88 % (27228)Memory used [KB]: 6012 3.72/0.88 % (27228)Time elapsed: 0.039 s 3.72/0.88 % (27228)Instructions burned: 87 (million) 3.72/0.88 % (27228)------------------------------ 3.72/0.88 % (27228)------------------------------ 3.72/0.88 % (27189)Instruction limit reached! 3.72/0.88 % (27189)------------------------------ 3.72/0.88 % (27189)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.72/0.88 % (27189)Termination reason: Unknown 3.72/0.88 % (27189)Termination phase: Saturation 3.72/0.88 3.72/0.88 % (27189)Memory used [KB]: 10618 3.72/0.88 % (27189)Time elapsed: 0.473 s 3.72/0.88 % (27189)Instructions burned: 1045 (million) 3.72/0.88 % (27189)------------------------------ 3.72/0.88 % (27189)------------------------------ 3.72/0.89 % (27233)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2994ds/37Mi) 3.72/0.89 % (27234)lrs+1002_1:16_av=off:e2e=on:fe=axiom:prag=on:sos=on:ss=axioms:i=3:si=on:rtra=on_0 on theBenchmark for (2994ds/3Mi) 3.72/0.89 % (27234)Instruction limit reached! 3.72/0.89 % (27234)------------------------------ 3.72/0.89 % (27234)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.72/0.89 % (27234)Termination reason: Unknown 3.72/0.89 % (27234)Termination phase: SInE selection 3.72/0.89 3.72/0.89 % (27234)Memory used [KB]: 1023 3.72/0.89 % (27234)Time elapsed: 0.003 s 3.72/0.89 % (27234)Instructions burned: 4 (million) 3.72/0.89 % (27234)------------------------------ 3.72/0.89 % (27234)------------------------------ 3.72/0.90 % (27232)Instruction limit reached! 3.72/0.90 % (27232)------------------------------ 3.72/0.90 % (27232)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.72/0.90 % (27232)Termination reason: Unknown 3.72/0.90 % (27232)Termination phase: Saturation 3.72/0.90 3.72/0.90 % (27232)Memory used [KB]: 5628 3.72/0.90 % (27232)Time elapsed: 0.023 s 3.72/0.90 % (27232)Instructions burned: 47 (million) 3.72/0.90 % (27232)------------------------------ 3.72/0.90 % (27232)------------------------------ 3.72/0.90 % (27235)lrs+10_8:1_au=on:e2e=on:hfsq=on:hfsqc=1:ins=3:s2a=on:s2at=3.0:ss=axioms:i=19:si=on:rtra=on_0 on theBenchmark for (2994ds/19Mi) 3.72/0.90 % (27235)Refutation not found, incomplete strategy 3.72/0.90 % (27235)------------------------------ 3.72/0.90 % (27235)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.72/0.90 % (27235)Termination reason: Refutation not found, incomplete strategy 3.72/0.90 3.72/0.90 3.72/0.90 % (27235)Memory used [KB]: 5500 3.72/0.90 % (27235)Time elapsed: 0.005 s 3.72/0.90 % (27235)Instructions burned: 7 (million) 3.72/0.90 % (27235)------------------------------ 3.72/0.90 % (27235)------------------------------ 3.72/0.90 % (27233)Instruction limit reached! 3.72/0.90 % (27233)------------------------------ 3.72/0.90 % (27233)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.72/0.90 % (27233)Termination reason: Unknown 3.72/0.90 % (27233)Termination phase: Saturation 3.72/0.90 3.72/0.90 % (27233)Memory used [KB]: 5628 3.72/0.90 % (27233)Time elapsed: 0.019 s 3.72/0.90 % (27233)Instructions burned: 37 (million) 3.72/0.90 % (27233)------------------------------ 3.72/0.90 % (27233)------------------------------ 3.72/0.91 % (27237)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:i=5:si=on:rtra=on_0 on theBenchmark for (2994ds/5Mi) 3.72/0.91 % (27237)Instruction limit reached! 3.72/0.91 % (27237)------------------------------ 3.72/0.91 % (27237)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.72/0.91 % (27237)Termination reason: Unknown 3.72/0.91 % (27237)Termination phase: Saturation 3.72/0.91 3.72/0.91 % (27237)Memory used [KB]: 1023 3.72/0.91 % (27237)Time elapsed: 0.004 s 3.72/0.91 % (27237)Instructions burned: 5 (million) 3.72/0.91 % (27237)------------------------------ 3.72/0.91 % (27237)------------------------------ 3.72/0.91 % (27239)ott+21_1:3_bd=off:cnfonf=lazy_gen:fe=off:hfsq=on:hfsqc=3:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=450:si=on:rtra=on_0 on theBenchmark for (2994ds/450Mi) 3.72/0.92 % (27240)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=102:si=on:rtra=on_0 on theBenchmark for (2994ds/102Mi) 3.72/0.92 % (27238)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=44:si=on:rtra=on_0 on theBenchmark for (2994ds/44Mi) 3.72/0.92 % (27241)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2994ds/134Mi) 3.97/0.94 % (27238)Instruction limit reached! 3.97/0.94 % (27238)------------------------------ 3.97/0.94 % (27238)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.97/0.94 % (27238)Termination reason: Unknown 3.97/0.94 % (27238)Termination phase: Saturation 3.97/0.94 3.97/0.94 % (27238)Memory used [KB]: 10362 3.97/0.94 % (27238)Time elapsed: 0.045 s 3.97/0.94 % (27238)Instructions burned: 44 (million) 3.97/0.94 % (27238)------------------------------ 3.97/0.94 % (27238)------------------------------ 3.97/0.96 % (27220)Instruction limit reached! 3.97/0.96 % (27220)------------------------------ 3.97/0.96 % (27220)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.97/0.96 % (27220)Termination reason: Unknown 3.97/0.96 % (27220)Termination phase: Saturation 3.97/0.96 3.97/0.96 % (27220)Memory used [KB]: 6396 3.97/0.96 % (27220)Time elapsed: 0.218 s 3.97/0.96 % (27220)Instructions burned: 449 (million) 3.97/0.96 % (27220)------------------------------ 3.97/0.96 % (27220)------------------------------ 3.97/0.96 % (27242)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on theBenchmark for (2994ds/204Mi) 3.97/0.96 % (27240)Instruction limit reached! 3.97/0.96 % (27240)------------------------------ 3.97/0.96 % (27240)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.97/0.96 % (27240)Termination reason: Unknown 3.97/0.96 % (27240)Termination phase: Saturation 3.97/0.96 3.97/0.96 % (27240)Memory used [KB]: 6012 3.97/0.96 % (27240)Time elapsed: 0.045 s 3.97/0.96 % (27240)Instructions burned: 102 (million) 3.97/0.96 % (27240)------------------------------ 3.97/0.96 % (27240)------------------------------ 3.97/0.96 % (27231)Instruction limit reached! 3.97/0.96 % (27231)------------------------------ 3.97/0.96 % (27231)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.97/0.96 % (27231)Termination reason: Unknown 3.97/0.96 % (27231)Termination phase: Saturation 3.97/0.96 3.97/0.96 % (27231)Memory used [KB]: 6012 3.97/0.96 % (27231)Time elapsed: 0.100 s 3.97/0.96 % (27231)Instructions burned: 275 (million) 3.97/0.96 % (27231)------------------------------ 3.97/0.96 % (27231)------------------------------ 4.40/0.97 % (27244)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=424:si=on:rtra=on_0 on theBenchmark for (2994ds/424Mi) 4.40/0.97 % (27243)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on theBenchmark for (2994ds/154Mi) 4.40/0.98 % (27245)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2994ds/41Mi) 4.40/0.99 % (27230)Instruction limit reached! 4.40/0.99 % (27230)------------------------------ 4.40/0.99 % (27230)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.40/0.99 % (27230)Termination reason: Unknown 4.40/0.99 % (27230)Termination phase: Saturation 4.40/0.99 4.40/0.99 % (27230)Memory used [KB]: 6908 4.40/0.99 % (27230)Time elapsed: 0.130 s 4.40/0.99 % (27230)Instructions burned: 295 (million) 4.40/0.99 % (27230)------------------------------ 4.40/0.99 % (27230)------------------------------ 4.40/0.99 % (27241)Instruction limit reached! 4.40/0.99 % (27241)------------------------------ 4.40/0.99 % (27241)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.40/0.99 % (27241)Termination reason: Unknown 4.40/0.99 % (27241)Termination phase: Saturation 4.40/0.99 4.40/0.99 % (27241)Memory used [KB]: 6140 4.40/0.99 % (27241)Time elapsed: 0.088 s 4.40/0.99 % (27241)Instructions burned: 135 (million) 4.40/0.99 % (27241)------------------------------ 4.40/0.99 % (27241)------------------------------ 4.40/0.99 % (27245)Refutation not found, incomplete strategy 4.40/0.99 % (27245)------------------------------ 4.40/0.99 % (27245)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.40/0.99 % (27245)Termination reason: Refutation not found, incomplete strategy 4.40/0.99 4.40/0.99 4.40/0.99 % (27245)Memory used [KB]: 5500 4.40/0.99 % (27245)Time elapsed: 0.041 s 4.40/0.99 % (27245)Instructions burned: 13 (million) 4.40/0.99 % (27245)------------------------------ 4.40/0.99 % (27245)------------------------------ 4.40/1.00 % (27246)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on theBenchmark for (2993ds/231Mi) 4.40/1.00 % (27247)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on theBenchmark for (2993ds/70Mi) 4.40/1.00 % (27248)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2993ds/297Mi) 4.40/1.02 % (27242)Instruction limit reached! 4.40/1.02 % (27242)------------------------------ 4.40/1.02 % (27242)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.40/1.02 % (27242)Termination reason: Unknown 4.40/1.02 % (27242)Termination phase: Saturation 4.40/1.02 4.40/1.02 % (27242)Memory used [KB]: 6524 4.40/1.02 % (27242)Time elapsed: 0.089 s 4.40/1.02 % (27242)Instructions burned: 204 (million) 4.40/1.02 % (27242)------------------------------ 4.40/1.02 % (27242)------------------------------ 4.40/1.02 % (27215)Instruction limit reached! 4.40/1.02 % (27215)------------------------------ 4.40/1.02 % (27215)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.40/1.02 % (27215)Termination reason: Unknown 4.40/1.02 % (27215)Termination phase: Saturation 4.40/1.02 4.40/1.02 % (27215)Memory used [KB]: 8955 4.40/1.02 % (27215)Time elapsed: 0.331 s 4.40/1.02 % (27215)Instructions burned: 721 (million) 4.40/1.02 % (27215)------------------------------ 4.40/1.02 % (27215)------------------------------ 5.04/1.02 % (27249)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on theBenchmark for (2993ds/182Mi) 5.04/1.03 % (27247)Instruction limit reached! 5.04/1.03 % (27247)------------------------------ 5.04/1.03 % (27247)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 5.04/1.03 % (27247)Termination reason: Unknown 5.04/1.03 % (27247)Termination phase: Saturation 5.04/1.03 5.04/1.03 % (27247)Memory used [KB]: 2046 5.04/1.03 % (27247)Time elapsed: 0.055 s 5.04/1.03 % (27247)Instructions burned: 70 (million) 5.04/1.03 % (27247)------------------------------ 5.04/1.03 % (27247)------------------------------ 5.04/1.04 % (27243)Instruction limit reached! 5.04/1.04 % (27243)------------------------------ 5.04/1.04 % (27243)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 5.04/1.04 % (27243)Termination reason: Unknown 5.04/1.04 % (27243)Termination phase: Saturation 5.04/1.04 5.04/1.04 % (27243)Memory used [KB]: 6268 5.04/1.04 % (27243)Time elapsed: 0.096 s 5.04/1.04 % (27243)Instructions burned: 155 (million) 5.04/1.04 % (27243)------------------------------ 5.04/1.04 % (27243)------------------------------ 5.04/1.04 % (27250)lrs+1010_1:1024_au=on:fe=axiom:lwlo=on:nm=0:ntd=on:nwc=10.0:spb=non_intro:uhcvi=on:i=130:si=on:rtra=on_0 on theBenchmark for (2993ds/130Mi) 5.04/1.05 % (27251)lrs+21_1:16_au=on:cbe=off:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=7,4:i=570:si=on:rtra=on_0 on theBenchmark for (2993ds/570Mi) 5.04/1.07 % (27252)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2993ds/297Mi) 5.68/1.10 % (27246)Instruction limit reached! 5.68/1.10 % (27246)------------------------------ 5.68/1.10 % (27246)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 5.68/1.10 % (27246)Termination reason: Unknown 5.68/1.10 % (27246)Termination phase: Saturation 5.68/1.10 5.68/1.10 % (27246)Memory used [KB]: 6268 5.68/1.10 % (27246)Time elapsed: 0.119 s 5.68/1.10 % (27246)Instructions burned: 231 (million) 5.68/1.10 % (27246)------------------------------ 5.68/1.10 % (27246)------------------------------ 5.68/1.10 % (27250)Instruction limit reached! 5.68/1.10 % (27250)------------------------------ 5.68/1.10 % (27250)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 5.68/1.10 % (27250)Termination reason: Unknown 5.68/1.10 % (27250)Termination phase: Saturation 5.68/1.10 5.68/1.10 % (27250)Memory used [KB]: 6140 5.68/1.10 % (27250)Time elapsed: 0.041 s 5.68/1.10 % (27250)Instructions burned: 131 (million) 5.68/1.10 % (27250)------------------------------ 5.68/1.10 % (27250)------------------------------ 5.68/1.10 % (27249)Instruction limit reached! 5.68/1.10 % (27249)------------------------------ 5.68/1.10 % (27249)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 5.68/1.10 % (27249)Termination reason: Unknown 5.68/1.10 % (27249)Termination phase: Saturation 5.68/1.10 5.68/1.10 % (27249)Memory used [KB]: 6524 5.68/1.10 % (27249)Time elapsed: 0.075 s 5.68/1.10 % (27249)Instructions burned: 183 (million) 5.68/1.10 % (27249)------------------------------ 5.68/1.10 % (27249)------------------------------ 5.68/1.11 % (27253)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=190:si=on:rtra=on_0 on theBenchmark for (2992ds/190Mi) 5.68/1.11 % (27254)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on theBenchmark for (2992ds/96Mi) 5.68/1.12 % (27239)Instruction limit reached! 5.68/1.12 % (27239)------------------------------ 5.68/1.12 % (27239)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 5.68/1.12 % (27239)Termination reason: Unknown 5.68/1.12 % (27239)Termination phase: Saturation 5.68/1.12 5.68/1.12 % (27239)Memory used [KB]: 8443 5.68/1.12 % (27239)Time elapsed: 0.225 s 5.68/1.12 % (27239)Instructions burned: 451 (million) 5.68/1.12 % (27239)------------------------------ 5.68/1.12 % (27239)------------------------------ 5.68/1.12 % (27255)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on theBenchmark for (2992ds/182Mi) 5.68/1.13 % (27256)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on theBenchmark for (2992ds/368Mi) 5.68/1.14 % (27248)Instruction limit reached! 5.68/1.14 % (27248)------------------------------ 5.68/1.14 % (27248)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 5.68/1.14 % (27248)Termination reason: Unknown 5.68/1.14 % (27248)Termination phase: Saturation 5.68/1.14 5.68/1.14 % (27248)Memory used [KB]: 6908 5.68/1.14 % (27248)Time elapsed: 0.155 s 5.68/1.14 % (27248)Instructions burned: 297 (million) 5.68/1.14 % (27248)------------------------------ 5.68/1.14 % (27248)------------------------------ 6.12/1.15 % (27257)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=390:si=on:rtra=on_0 on theBenchmark for (2992ds/390Mi) 6.12/1.16 % (27254)Instruction limit reached! 6.12/1.16 % (27254)------------------------------ 6.12/1.16 % (27254)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.12/1.16 % (27254)Termination reason: Unknown 6.12/1.16 % (27254)Termination phase: Saturation 6.12/1.16 6.12/1.16 % (27254)Memory used [KB]: 5884 6.12/1.16 % (27254)Time elapsed: 0.047 s 6.12/1.16 % (27254)Instructions burned: 96 (million) 6.12/1.16 % (27254)------------------------------ 6.12/1.16 % (27254)------------------------------ 6.12/1.16 % (27244)Instruction limit reached! 6.12/1.16 % (27244)------------------------------ 6.12/1.16 % (27244)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.12/1.16 % (27244)Termination reason: Unknown 6.12/1.16 % (27244)Termination phase: Saturation 6.12/1.16 6.12/1.16 % (27244)Memory used [KB]: 7547 6.12/1.16 % (27244)Time elapsed: 0.213 s 6.12/1.16 % (27244)Instructions burned: 425 (million) 6.12/1.16 % (27244)------------------------------ 6.12/1.16 % (27244)------------------------------ 6.12/1.16 % (27253)Instruction limit reached! 6.12/1.16 % (27253)------------------------------ 6.12/1.16 % (27253)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.12/1.16 % (27253)Termination reason: Unknown 6.12/1.16 % (27253)Termination phase: Saturation 6.12/1.16 6.12/1.16 % (27253)Memory used [KB]: 6012 6.12/1.16 % (27253)Time elapsed: 0.057 s 6.12/1.16 % (27253)Instructions burned: 192 (million) 6.12/1.16 % (27253)------------------------------ 6.12/1.16 % (27253)------------------------------ 6.12/1.17 % (27260)lrs+1010_1:1024_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:ixr=off:i=25:si=on:rtra=on_0 on theBenchmark for (2991ds/25Mi) 6.12/1.17 % (27258)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2991ds/192Mi) 6.12/1.17 % (27259)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=279:si=on:rtra=on_0 on theBenchmark for (2991ds/279Mi) 6.12/1.18 % (27260)Instruction limit reached! 6.12/1.18 % (27260)------------------------------ 6.12/1.18 % (27260)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.12/1.18 % (27260)Termination reason: Unknown 6.12/1.18 % (27260)Termination phase: Saturation 6.12/1.18 6.12/1.18 % (27260)Memory used [KB]: 5628 6.12/1.18 % (27260)Time elapsed: 0.009 s 6.12/1.18 % (27260)Instructions burned: 25 (million) 6.12/1.18 % (27260)------------------------------ 6.12/1.18 % (27260)------------------------------ 6.12/1.18 % (27261)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=940:si=on:rtra=on_0 on theBenchmark for (2991ds/940Mi) 6.36/1.20 % (27255)Instruction limit reached! 6.36/1.20 % (27255)------------------------------ 6.36/1.20 % (27255)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.36/1.20 % (27255)Termination reason: Unknown 6.36/1.20 % (27255)Termination phase: Saturation 6.36/1.20 6.36/1.20 % (27255)Memory used [KB]: 6268 6.36/1.20 % (27255)Time elapsed: 0.080 s 6.36/1.20 % (27255)Instructions burned: 183 (million) 6.36/1.20 % (27255)------------------------------ 6.36/1.20 % (27255)------------------------------ 6.36/1.20 % (27252)Instruction limit reached! 6.36/1.20 % (27252)------------------------------ 6.36/1.20 % (27252)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.36/1.20 % (27252)Termination reason: Unknown 6.36/1.20 % (27252)Termination phase: Saturation 6.36/1.20 6.36/1.20 % (27252)Memory used [KB]: 6396 6.36/1.20 % (27252)Time elapsed: 0.134 s 6.36/1.20 % (27252)Instructions burned: 298 (million) 6.36/1.20 % (27252)------------------------------ 6.36/1.20 % (27252)------------------------------ 6.36/1.21 % (27262)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=422:si=on:rtra=on_0 on theBenchmark for (2991ds/422Mi) 6.36/1.21 % (27263)lrs+10_1:1_cnfonf=lazy_gen:hud=7:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=103:si=on:rtra=on_0 on theBenchmark for (2991ds/103Mi) 6.53/1.26 % (27258)Instruction limit reached! 6.53/1.26 % (27258)------------------------------ 6.53/1.26 % (27258)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.53/1.26 % (27258)Termination reason: Unknown 6.53/1.26 % (27258)Termination phase: Saturation 6.53/1.26 6.53/1.26 % (27258)Memory used [KB]: 6524 6.53/1.26 % (27258)Time elapsed: 0.085 s 6.53/1.26 % (27258)Instructions burned: 192 (million) 6.53/1.26 % (27258)------------------------------ 6.53/1.26 % (27258)------------------------------ 6.53/1.26 % (27263)Instruction limit reached! 6.53/1.26 % (27263)------------------------------ 6.53/1.26 % (27263)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.53/1.26 % (27263)Termination reason: Unknown 6.53/1.26 % (27263)Termination phase: Saturation 6.53/1.26 6.53/1.26 % (27263)Memory used [KB]: 6140 6.53/1.26 % (27263)Time elapsed: 0.048 s 6.53/1.26 % (27263)Instructions burned: 104 (million) 6.53/1.26 % (27263)------------------------------ 6.53/1.26 % (27263)------------------------------ 6.53/1.27 % (27265)lrs+10_1:5_av=off:bd=off:fd=off:kws=precedence:nwc=3.0:prag=on:rawr=on:sos=all:sp=reverse_frequency:i=230:si=on:rtra=on_0 on theBenchmark for (2990ds/230Mi) 6.53/1.28 % (27264)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on theBenchmark for (2990ds/182Mi) 6.53/1.29 % (27264)Refutation not found, incomplete strategy 6.53/1.29 % (27264)------------------------------ 6.53/1.29 % (27264)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.53/1.29 % (27264)Termination reason: Refutation not found, incomplete strategy 6.53/1.29 6.53/1.29 6.53/1.29 % (27264)Memory used [KB]: 5500 6.53/1.29 % (27264)Time elapsed: 0.030 s 6.53/1.29 % (27264)Instructions burned: 11 (million) 6.53/1.29 % (27264)------------------------------ 6.53/1.29 % (27264)------------------------------ 6.53/1.29 % (27256)Instruction limit reached! 6.53/1.29 % (27256)------------------------------ 6.53/1.29 % (27256)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.53/1.29 % (27256)Termination reason: Unknown 6.53/1.29 % (27256)Termination phase: Saturation 6.53/1.29 6.53/1.29 % (27256)Memory used [KB]: 7675 6.53/1.29 % (27256)Time elapsed: 0.166 s 6.53/1.29 % (27256)Instructions burned: 369 (million) 6.53/1.29 % (27256)------------------------------ 6.53/1.29 % (27256)------------------------------ 6.95/1.31 % (27259)Instruction limit reached! 6.95/1.31 % (27259)------------------------------ 6.95/1.31 % (27259)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.95/1.31 % (27259)Termination reason: Unknown 6.95/1.31 % (27259)Termination phase: Saturation 6.95/1.31 6.95/1.31 % (27259)Memory used [KB]: 6140 6.95/1.31 % (27259)Time elapsed: 0.135 s 6.95/1.31 % (27259)Instructions burned: 279 (million) 6.95/1.31 % (27259)------------------------------ 6.95/1.31 % (27259)------------------------------ 6.95/1.31 % (27257)Instruction limit reached! 6.95/1.31 % (27257)------------------------------ 6.95/1.31 % (27257)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.95/1.31 % (27257)Termination reason: Unknown 6.95/1.31 % (27257)Termination phase: Saturation 6.95/1.31 6.95/1.31 % (27257)Memory used [KB]: 7036 6.95/1.31 % (27257)Time elapsed: 0.158 s 6.95/1.31 % (27257)Instructions burned: 391 (million) 6.95/1.31 % (27257)------------------------------ 6.95/1.31 % (27257)------------------------------ 6.95/1.31 % (27267)lrs+1002_1:1_anc=all:cbe=off:cnfonf=lazy_not_gen_be_off:fe=off:hud=5:nwc=10.0:plsq=on:plsqr=32,1:prag=on:sp=unary_first:i=202:si=on:rtra=on_0 on theBenchmark for (2990ds/202Mi) 6.95/1.31 % (27266)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2990ds/83Mi) 6.95/1.32 % (27267)Refutation not found, incomplete strategy 6.95/1.32 % (27267)------------------------------ 6.95/1.32 % (27267)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.95/1.32 % (27267)Termination reason: Refutation not found, incomplete strategy 6.95/1.32 6.95/1.32 6.95/1.32 % (27267)Memory used [KB]: 5500 6.95/1.32 % (27267)Time elapsed: 0.009 s 6.95/1.32 % (27267)Instructions burned: 17 (million) 6.95/1.32 % (27267)------------------------------ 6.95/1.32 % (27267)------------------------------ 6.95/1.32 % (27268)lrs+1010_1:1_cbe=off:cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=148:si=on:rtra=on_0 on theBenchmark for (2990ds/148Mi) 6.95/1.32 % (27269)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on theBenchmark for (2990ds/104Mi) 6.95/1.33 % (27270)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2990ds/6Mi) 6.95/1.33 % (27266)Instruction limit reached! 6.95/1.33 % (27266)------------------------------ 6.95/1.33 % (27266)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.95/1.33 % (27266)Termination reason: Unknown 6.95/1.33 % (27266)Termination phase: Saturation 6.95/1.33 6.95/1.33 % (27266)Memory used [KB]: 5884 6.95/1.33 % (27270)Instruction limit reached! 6.95/1.33 % (27270)------------------------------ 6.95/1.33 % (27270)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.95/1.33 % (27270)Termination reason: Unknown 6.95/1.33 % (27270)Termination phase: Saturation 6.95/1.33 6.95/1.33 % (27270)Memory used [KB]: 5500 6.95/1.33 % (27270)Time elapsed: 0.005 s 6.95/1.33 % (27270)Instructions burned: 6 (million) 6.95/1.33 % (27270)------------------------------ 6.95/1.33 % (27270)------------------------------ 6.95/1.33 % (27266)Time elapsed: 0.023 s 6.95/1.33 % (27266)Instructions burned: 83 (million) 6.95/1.33 % (27266)------------------------------ 6.95/1.33 % (27266)------------------------------ 6.95/1.33 % (27251)Instruction limit reached! 6.95/1.33 % (27251)------------------------------ 6.95/1.33 % (27251)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.95/1.33 % (27251)Termination reason: Unknown 6.95/1.33 % (27251)Termination phase: Saturation 6.95/1.33 6.95/1.33 % (27251)Memory used [KB]: 7675 6.95/1.33 % (27251)Time elapsed: 0.289 s 6.95/1.33 % (27251)Instructions burned: 571 (million) 6.95/1.33 % (27251)------------------------------ 6.95/1.33 % (27251)------------------------------ 6.95/1.34 % (27271)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1200:si=on:rtra=on_0 on theBenchmark for (2990ds/1200Mi) 6.95/1.35 % (27272)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2990ds/90Mi) 7.38/1.36 % (27273)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on theBenchmark for (2990ds/164Mi) 7.38/1.37 % (27269)Instruction limit reached! 7.38/1.37 % (27269)------------------------------ 7.38/1.37 % (27269)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.38/1.37 % (27269)Termination reason: Unknown 7.38/1.37 % (27269)Termination phase: Saturation 7.38/1.37 7.38/1.37 % (27269)Memory used [KB]: 6012 7.38/1.37 % (27269)Time elapsed: 0.046 s 7.38/1.37 % (27269)Instructions burned: 106 (million) 7.38/1.37 % (27269)------------------------------ 7.38/1.37 % (27269)------------------------------ 7.38/1.38 % (27265)Instruction limit reached! 7.38/1.38 % (27265)------------------------------ 7.38/1.38 % (27265)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.38/1.38 % (27265)Termination reason: Unknown 7.38/1.38 % (27265)Termination phase: Saturation 7.38/1.38 7.38/1.38 % (27265)Memory used [KB]: 2046 7.38/1.38 % (27265)Time elapsed: 0.104 s 7.38/1.38 % (27265)Instructions burned: 230 (million) 7.38/1.38 % (27265)------------------------------ 7.38/1.38 % (27265)------------------------------ 7.38/1.38 % (27274)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=392:si=on:rtra=on_0 on theBenchmark for (2989ds/392Mi) 7.38/1.39 % (27268)Instruction limit reached! 7.38/1.39 % (27268)------------------------------ 7.38/1.39 % (27268)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.38/1.39 % (27268)Termination reason: Unknown 7.38/1.39 % (27268)Termination phase: Saturation 7.38/1.39 7.38/1.39 % (27268)Memory used [KB]: 5884 7.38/1.39 % (27268)Time elapsed: 0.070 s 7.38/1.39 % (27268)Instructions burned: 149 (million) 7.38/1.39 % (27268)------------------------------ 7.38/1.39 % (27268)------------------------------ 7.38/1.39 % (27272)Instruction limit reached! 7.38/1.39 % (27272)------------------------------ 7.38/1.39 % (27272)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.38/1.39 % (27272)Termination reason: Unknown 7.38/1.39 % (27272)Termination phase: Saturation 7.38/1.39 7.38/1.39 % (27272)Memory used [KB]: 6012 7.38/1.39 % (27272)Time elapsed: 0.043 s 7.38/1.39 % (27272)Instructions burned: 92 (million) 7.38/1.39 % (27272)------------------------------ 7.38/1.39 % (27272)------------------------------ 7.38/1.39 % (27262)Instruction limit reached! 7.38/1.39 % (27262)------------------------------ 7.38/1.39 % (27262)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.38/1.39 % (27262)Termination reason: Unknown 7.38/1.39 % (27262)Termination phase: Saturation 7.38/1.39 7.38/1.39 % (27262)Memory used [KB]: 7675 7.38/1.39 % (27262)Time elapsed: 0.183 s 7.38/1.39 % (27262)Instructions burned: 423 (million) 7.38/1.39 % (27262)------------------------------ 7.38/1.39 % (27262)------------------------------ 7.38/1.39 % (27275)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on theBenchmark for (2989ds/279Mi) 7.38/1.40 % (27277)lrs+1010_1:128_au=on:av=off:bd=preordered:bs=on:chr=on:cnfonf=lazy_not_gen:ntd=on:piset=and:i=59:si=on:rtra=on_0 on theBenchmark for (2989ds/59Mi) 7.38/1.40 % (27278)lrs+10_1:1_au=on:sd=1:sgt=32:sos=on:ss=axioms:i=141:si=on:rtra=on_0 on theBenchmark for (2989ds/141Mi) 7.38/1.41 % (27279)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=389:si=on:rtra=on_0 on theBenchmark for (2989ds/389Mi) 7.38/1.42 % (27277)Instruction limit reached! 7.38/1.42 % (27277)------------------------------ 7.38/1.42 % (27277)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.38/1.42 % (27277)Termination reason: Unknown 7.38/1.42 % (27277)Termination phase: Saturation 7.38/1.42 7.38/1.42 % (27277)Memory used [KB]: 1151 7.38/1.42 % (27277)Time elapsed: 0.027 s 7.38/1.42 % (27277)Instructions burned: 60 (million) 7.38/1.42 % (27277)------------------------------ 7.38/1.42 % (27277)------------------------------ 7.38/1.44 % (27273)Instruction limit reached! 7.38/1.44 % (27273)------------------------------ 7.38/1.44 % (27273)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.38/1.44 % (27273)Termination reason: Unknown 7.38/1.44 % (27273)Termination phase: Saturation 7.38/1.44 7.38/1.44 % (27273)Memory used [KB]: 1535 7.38/1.44 % (27273)Time elapsed: 0.110 s 7.38/1.44 % (27273)Instructions burned: 165 (million) 7.38/1.44 % (27273)------------------------------ 7.38/1.44 % (27273)------------------------------ 7.38/1.44 % (27280)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on theBenchmark for (2989ds/593Mi) 8.00/1.46 % (27281)ott+1010_1:20_cnfonf=lazy_pi_sigma_gen:fe=axiom:plsq=on:plsqc=2:plsqr=32,1:sac=on:sos=all:i=4759:si=on:rtra=on_0 on theBenchmark for (2989ds/4759Mi) 8.00/1.46 % (27278)Instruction limit reached! 8.00/1.46 % (27278)------------------------------ 8.00/1.46 % (27278)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 8.00/1.46 % (27278)Termination reason: Unknown 8.00/1.46 % (27278)Termination phase: Saturation 8.00/1.46 8.00/1.46 % (27278)Memory used [KB]: 6140 8.00/1.46 % (27278)Time elapsed: 0.063 s 8.00/1.46 % (27278)Instructions burned: 141 (million) 8.00/1.46 % (27278)------------------------------ 8.00/1.46 % (27278)------------------------------ 8.00/1.48 % (27282)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on theBenchmark for (2989ds/906Mi) 8.08/1.53 % (27275)Instruction limit reached! 8.08/1.53 % (27275)------------------------------ 8.08/1.53 % (27275)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 8.08/1.53 % (27275)Termination reason: Unknown 8.08/1.53 % (27275)Termination phase: Saturation 8.08/1.53 8.08/1.53 % (27275)Memory used [KB]: 6268 8.08/1.53 % (27275)Time elapsed: 0.134 s 8.08/1.53 % (27275)Instructions burned: 279 (million) 8.08/1.53 % (27275)------------------------------ 8.08/1.53 % (27275)------------------------------ 8.23/1.54 % (27283)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on theBenchmark for (2988ds/668Mi) 8.23/1.55 % (27261)Instruction limit reached! 8.23/1.55 % (27261)------------------------------ 8.23/1.55 % (27261)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 8.23/1.55 % (27261)Termination reason: Unknown 8.23/1.55 % (27261)Termination phase: Saturation 8.23/1.55 8.23/1.55 % (27261)Memory used [KB]: 6524 8.23/1.55 % (27261)Time elapsed: 0.361 s 8.23/1.55 % (27261)Instructions burned: 941 (million) 8.23/1.55 % (27261)------------------------------ 8.23/1.55 % (27261)------------------------------ 8.59/1.56 % (27284)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on theBenchmark for (2988ds/1670Mi) 8.59/1.57 % (27279)Instruction limit reached! 8.59/1.57 % (27279)------------------------------ 8.59/1.57 % (27279)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 8.59/1.57 % (27279)Termination reason: Unknown 8.59/1.57 % (27279)Termination phase: Saturation 8.59/1.57 8.59/1.57 % (27279)Memory used [KB]: 7164 8.59/1.57 % (27279)Time elapsed: 0.170 s 8.59/1.57 % (27279)Instructions burned: 389 (million) 8.59/1.57 % (27279)------------------------------ 8.59/1.57 % (27279)------------------------------ 8.59/1.58 % (27274)Instruction limit reached! 8.59/1.58 % (27274)------------------------------ 8.59/1.58 % (27274)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 8.59/1.58 % (27274)Termination reason: Unknown 8.59/1.58 % (27274)Termination phase: Saturation 8.59/1.58 8.59/1.58 % (27274)Memory used [KB]: 6780 8.59/1.58 % (27274)Time elapsed: 0.194 s 8.59/1.58 % (27274)Instructions burned: 393 (million) 8.59/1.58 % (27274)------------------------------ 8.59/1.58 % (27274)------------------------------ 8.59/1.59 % (27286)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on theBenchmark for (2987ds/294Mi) 8.59/1.59 % (27285)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on theBenchmark for (2987ds/794Mi) 8.59/1.59 % (27285)Refutation not found, incomplete strategy 8.59/1.59 % (27285)------------------------------ 8.59/1.59 % (27285)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 8.59/1.59 % (27285)Termination reason: Refutation not found, incomplete strategy 8.59/1.59 8.59/1.59 8.59/1.59 % (27285)Memory used [KB]: 1023 8.59/1.59 % (27285)Time elapsed: 0.005 s 8.59/1.59 % (27285)Instructions burned: 7 (million) 8.59/1.59 % (27285)------------------------------ 8.59/1.59 % (27285)------------------------------ 8.59/1.61 % (27287)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=970:si=on:rtra=on_0 on theBenchmark for (2987ds/970Mi) 10.36/1.70 % (27280)Instruction limit reached! 10.36/1.70 % (27280)------------------------------ 10.36/1.70 % (27280)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 10.36/1.70 % (27280)Termination reason: Unknown 10.36/1.70 % (27280)Termination phase: Saturation 10.36/1.70 10.36/1.70 % (27280)Memory used [KB]: 7803 10.36/1.70 % (27280)Time elapsed: 0.288 s 10.36/1.70 % (27280)Instructions burned: 594 (million) 10.36/1.70 % (27280)------------------------------ 10.36/1.70 % (27280)------------------------------ 10.36/1.72 % (27286)Instruction limit reached! 10.36/1.72 % (27286)------------------------------ 10.36/1.72 % (27286)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 10.36/1.72 % (27286)Termination reason: Unknown 10.36/1.72 % (27286)Termination phase: Saturation 10.36/1.72 10.36/1.72 % (27286)Memory used [KB]: 6268 10.36/1.72 % (27286)Time elapsed: 0.151 s 10.36/1.72 % (27286)Instructions burned: 294 (million) 10.36/1.72 % (27286)------------------------------ 10.36/1.72 % (27286)------------------------------ 10.36/1.72 % (27288)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=383:si=on:rtra=on_0 on theBenchmark for (2986ds/383Mi) 10.36/1.73 % (27271)Instruction limit reached! 10.36/1.73 % (27271)------------------------------ 10.36/1.73 % (27271)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 10.36/1.73 % (27271)Termination reason: Unknown 10.36/1.73 % (27271)Termination phase: Saturation 10.36/1.73 10.36/1.73 % (27271)Memory used [KB]: 11257 10.36/1.73 % (27271)Time elapsed: 0.367 s 10.36/1.73 % (27271)Instructions burned: 1202 (million) 10.36/1.73 % (27271)------------------------------ 10.36/1.73 % (27271)------------------------------ 10.36/1.73 % (27289)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on theBenchmark for (2986ds/961Mi) 10.36/1.73 % (27290)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=1083:si=on:rtra=on_0 on theBenchmark for (2986ds/1083Mi) 11.28/1.87 % (27283)Instruction limit reached! 11.28/1.87 % (27283)------------------------------ 11.28/1.87 % (27283)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 11.28/1.87 % (27283)Termination reason: Unknown 11.28/1.87 % (27283)Termination phase: Saturation 11.28/1.87 11.28/1.87 % (27283)Memory used [KB]: 10874 11.28/1.87 % (27283)Time elapsed: 0.351 s 11.28/1.87 % (27283)Instructions burned: 668 (million) 11.28/1.87 % (27283)------------------------------ 11.28/1.87 % (27283)------------------------------ 11.28/1.87 % (27288)Instruction limit reached! 11.28/1.87 % (27288)------------------------------ 11.28/1.87 % (27288)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 11.28/1.87 % (27288)Termination reason: Unknown 11.28/1.87 % (27288)Termination phase: Saturation 11.28/1.87 11.28/1.87 % (27288)Memory used [KB]: 7164 11.28/1.87 % (27288)Time elapsed: 0.153 s 11.28/1.87 % (27288)Instructions burned: 383 (million) 11.28/1.87 % (27288)------------------------------ 11.28/1.87 % (27288)------------------------------ 11.28/1.88 % (27292)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on theBenchmark for (2984ds/562Mi) 11.28/1.88 % (27282)Instruction limit reached! 11.28/1.88 % (27282)------------------------------ 11.28/1.88 % (27282)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 11.28/1.88 % (27282)Termination reason: Unknown 11.28/1.88 % (27282)Termination phase: Saturation 11.28/1.88 11.28/1.88 % (27282)Memory used [KB]: 9338 11.28/1.88 % (27282)Time elapsed: 0.407 s 11.28/1.88 % (27282)Instructions burned: 906 (million) 11.28/1.88 % (27282)------------------------------ 11.28/1.88 % (27282)------------------------------ 11.28/1.89 % (27291)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=1398:si=on:rtra=on_0 on theBenchmark for (2984ds/1398Mi) 11.28/1.90 % (27293)lrs+1010_1:2_au=on:e2e=on:sd=3:ss=axioms:st=3.0:i=1208:si=on:rtra=on_0 on theBenchmark for (2984ds/1208Mi) 12.01/2.05 % (27287)Instruction limit reached! 12.01/2.05 % (27287)------------------------------ 12.01/2.05 % (27287)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 12.01/2.05 % (27287)Termination reason: Unknown 12.01/2.05 % (27287)Termination phase: Saturation 12.01/2.05 12.01/2.05 % (27287)Memory used [KB]: 6780 12.01/2.05 % (27287)Time elapsed: 0.448 s 12.01/2.05 % (27287)Instructions burned: 970 (million) 12.01/2.05 % (27287)------------------------------ 12.01/2.05 % (27287)------------------------------ 12.28/2.08 % (27294)lrs+1010_1:7_bd=off:cnfonf=lazy_not_be_gen:fe=off:hud=10:tnu=1:i=348:si=on:rtra=on_0 on theBenchmark for (2982ds/348Mi) 14.03/2.15 % (27289)Instruction limit reached! 14.03/2.15 % (27289)------------------------------ 14.03/2.15 % (27289)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 14.03/2.15 % (27289)Termination reason: Unknown 14.03/2.15 % (27289)Termination phase: Saturation 14.03/2.15 14.03/2.15 % (27289)Memory used [KB]: 9466 14.03/2.15 % (27289)Time elapsed: 0.421 s 14.03/2.15 % (27289)Instructions burned: 962 (million) 14.03/2.15 % (27289)------------------------------ 14.03/2.15 % (27289)------------------------------ 14.03/2.17 % (27292)Instruction limit reached! 14.03/2.17 % (27292)------------------------------ 14.03/2.17 % (27292)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 14.03/2.17 % (27292)Termination reason: Unknown 14.03/2.17 % (27292)Termination phase: Saturation 14.03/2.17 14.03/2.17 % (27292)Memory used [KB]: 6396 14.03/2.17 % (27292)Time elapsed: 0.283 s 14.03/2.17 % (27292)Instructions burned: 563 (million) 14.03/2.17 % (27292)------------------------------ 14.03/2.17 % (27292)------------------------------ 14.03/2.18 % (27296)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1655:si=on:rtra=on_0 on theBenchmark for (2981ds/1655Mi) 14.03/2.18 % (27295)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2981ds/343Mi) 14.03/2.19 % (27290)Instruction limit reached! 14.03/2.19 % (27290)------------------------------ 14.03/2.19 % (27290)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 14.03/2.19 % (27290)Termination reason: Unknown 14.03/2.19 % (27290)Termination phase: Saturation 14.03/2.19 14.03/2.19 % (27290)Memory used [KB]: 10618 14.03/2.19 % (27290)Time elapsed: 0.456 s 14.03/2.19 % (27290)Instructions burned: 1083 (million) 14.03/2.19 % (27290)------------------------------ 14.03/2.19 % (27290)------------------------------ 14.03/2.20 % (27297)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on theBenchmark for (2981ds/6454Mi) 14.49/2.24 % (27284)Instruction limit reached! 14.49/2.24 % (27284)------------------------------ 14.49/2.24 % (27284)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 14.49/2.24 % (27284)Termination reason: Unknown 14.49/2.24 % (27284)Termination phase: Saturation 14.49/2.24 14.49/2.24 % (27284)Memory used [KB]: 6780 14.49/2.24 % (27284)Time elapsed: 0.680 s 14.49/2.24 % (27284)Instructions burned: 1672 (million) 14.49/2.24 % (27284)------------------------------ 14.49/2.24 % (27284)------------------------------ 14.49/2.26 % (27298)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on theBenchmark for (2981ds/1539Mi) 14.49/2.26 % (27294)Instruction limit reached! 14.49/2.26 % (27294)------------------------------ 14.49/2.26 % (27294)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 14.49/2.26 % (27294)Termination reason: Unknown 14.49/2.26 % (27294)Termination phase: Saturation 14.49/2.26 14.49/2.26 % (27294)Memory used [KB]: 5884 14.49/2.26 % (27294)Time elapsed: 0.122 s 14.49/2.26 % (27294)Instructions burned: 349 (million) 14.49/2.26 % (27294)------------------------------ 14.49/2.26 % (27294)------------------------------ 14.49/2.28 % (27299)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on theBenchmark for (2980ds/501Mi) 14.49/2.28 % (27299)Refutation not found, incomplete strategy 14.49/2.28 % (27299)------------------------------ 14.49/2.28 % (27299)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 14.49/2.28 % (27299)Termination reason: Refutation not found, incomplete strategy 14.49/2.28 14.49/2.28 14.49/2.28 % (27299)Memory used [KB]: 5500 14.49/2.28 % (27299)Time elapsed: 0.006 s 14.49/2.28 % (27299)Instructions burned: 10 (million) 14.49/2.28 % (27299)------------------------------ 14.49/2.28 % (27299)------------------------------ 14.77/2.30 % (27300)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=277:si=on:rtra=on_0 on theBenchmark for (2980ds/277Mi) 14.77/2.33 % (27295)Instruction limit reached! 14.77/2.33 % (27295)------------------------------ 14.77/2.33 % (27295)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 14.77/2.33 % (27295)Termination reason: Unknown 14.77/2.33 % (27295)Termination phase: Saturation 14.77/2.33 14.77/2.33 % (27295)Memory used [KB]: 7036 14.77/2.34 % (27295)Time elapsed: 0.129 s 14.77/2.34 % (27295)Instructions burned: 344 (million) 14.77/2.34 % (27295)------------------------------ 14.77/2.34 % (27295)------------------------------ 14.77/2.36 % (27301)lrs+21_1:1_cha=on:cnfonf=off:hud=10:kws=inv_frequency:lcm=predicate:sgt=32:sos=on:sp=occurrence:ss=axioms:i=136:si=on:rtra=on_0 on theBenchmark for (2980ds/136Mi) 15.22/2.41 % (27300)Instruction limit reached! 15.22/2.41 % (27300)------------------------------ 15.22/2.41 % (27300)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 15.22/2.41 % (27300)Termination reason: Unknown 15.22/2.41 % (27300)Termination phase: Saturation 15.22/2.41 15.22/2.41 % (27300)Memory used [KB]: 7547 15.22/2.41 % (27300)Time elapsed: 0.125 s 15.22/2.41 % (27300)Instructions burned: 280 (million) 15.22/2.41 % (27300)------------------------------ 15.22/2.41 % (27300)------------------------------ 15.22/2.42 % (27302)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on theBenchmark for (2979ds/401Mi) 15.22/2.43 % (27301)Instruction limit reached! 15.22/2.43 % (27301)------------------------------ 15.22/2.43 % (27301)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 15.22/2.43 % (27301)Termination reason: Unknown 15.22/2.43 % (27301)Termination phase: Saturation 15.22/2.43 15.22/2.43 % (27301)Memory used [KB]: 6268 15.22/2.43 % (27301)Time elapsed: 0.082 s 15.22/2.43 % (27301)Instructions burned: 136 (million) 15.22/2.43 % (27301)------------------------------ 15.22/2.43 % (27301)------------------------------ 15.45/2.43 % (27293)Instruction limit reached! 15.45/2.43 % (27293)------------------------------ 15.45/2.43 % (27293)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 15.45/2.43 % (27293)Termination reason: Unknown 15.45/2.43 % (27293)Termination phase: Saturation 15.45/2.43 15.45/2.43 % (27293)Memory used [KB]: 11385 15.45/2.43 % (27293)Time elapsed: 0.531 s 15.45/2.43 % (27293)Instructions burned: 1209 (million) 15.45/2.43 % (27293)------------------------------ 15.45/2.43 % (27293)------------------------------ 15.45/2.44 % (27303)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=4810:si=on:rtra=on_0 on theBenchmark for (2979ds/4810Mi) 15.45/2.46 % (27304)lrs+1002_1:128_atotf=0.1:au=on:cbe=off:ntd=on:sp=const_frequency:i=2020:si=on:rtra=on_0 on theBenchmark for (2979ds/2020Mi) 15.45/2.52 % (27291)Instruction limit reached! 15.45/2.52 % (27291)------------------------------ 15.45/2.52 % (27291)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 15.45/2.52 % (27291)Termination reason: Unknown 15.45/2.52 % (27291)Termination phase: Saturation 15.45/2.52 15.45/2.52 % (27291)Memory used [KB]: 12153 15.45/2.52 % (27291)Time elapsed: 0.637 s 15.45/2.52 % (27291)Instructions burned: 1399 (million) 15.45/2.52 % (27291)------------------------------ 15.45/2.52 % (27291)------------------------------ 15.67/2.54 % (27306)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=375:si=on:rtra=on_0 on theBenchmark for (2978ds/375Mi) 15.67/2.59 % (27302)Instruction limit reached! 15.67/2.59 % (27302)------------------------------ 15.67/2.59 % (27302)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 15.67/2.59 % (27302)Termination reason: Unknown 15.67/2.59 % (27302)Termination phase: Saturation 15.67/2.59 15.67/2.59 % (27302)Memory used [KB]: 6524 15.67/2.59 % (27302)Time elapsed: 0.140 s 15.67/2.59 % (27302)Instructions burned: 402 (million) 15.67/2.59 % (27302)------------------------------ 15.67/2.59 % (27302)------------------------------ 15.88/2.60 % (27307)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on theBenchmark for (2977ds/8250Mi) 15.95/2.70 % (27306)Instruction limit reached! 15.95/2.70 % (27306)------------------------------ 15.95/2.70 % (27306)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 15.95/2.70 % (27306)Termination reason: Unknown 15.95/2.70 % (27306)Termination phase: Saturation 15.95/2.70 15.95/2.70 % (27306)Memory used [KB]: 7164 15.95/2.70 % (27306)Time elapsed: 0.170 s 15.95/2.70 % (27306)Instructions burned: 376 (million) 15.95/2.70 % (27306)------------------------------ 15.95/2.70 % (27306)------------------------------ 18.29/2.73 % (27308)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on theBenchmark for (2976ds/187Mi) 18.48/2.81 % (27308)Instruction limit reached! 18.48/2.81 % (27308)------------------------------ 18.48/2.81 % (27308)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 18.48/2.81 % (27308)Termination reason: Unknown 18.48/2.81 % (27308)Termination phase: Saturation 18.48/2.81 18.48/2.81 % (27308)Memory used [KB]: 6396 18.48/2.81 % (27308)Time elapsed: 0.083 s 18.48/2.81 % (27308)Instructions burned: 187 (million) 18.48/2.81 % (27308)------------------------------ 18.48/2.81 % (27308)------------------------------ 18.48/2.82 % (27309)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on theBenchmark for (2975ds/393Mi) 18.48/2.83 % (27309)Refutation not found, incomplete strategy 18.48/2.83 % (27309)------------------------------ 18.48/2.83 % (27309)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 18.48/2.83 % (27309)Termination reason: Refutation not found, incomplete strategy 18.48/2.83 18.48/2.83 18.48/2.83 % (27309)Memory used [KB]: 5628 18.48/2.83 % (27309)Time elapsed: 0.016 s 18.48/2.83 % (27309)Instructions burned: 46 (million) 18.48/2.83 % (27309)------------------------------ 18.48/2.83 % (27309)------------------------------ 19.23/2.85 % (27310)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on theBenchmark for (2975ds/371Mi) 19.57/2.92 % (27298)Instruction limit reached! 19.57/2.92 % (27298)------------------------------ 19.57/2.92 % (27298)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 19.57/2.92 % (27298)Termination reason: Unknown 19.57/2.92 % (27298)Termination phase: Saturation 19.57/2.92 19.57/2.92 % (27298)Memory used [KB]: 13432 19.57/2.92 % (27298)Time elapsed: 0.652 s 19.57/2.92 % (27298)Instructions burned: 1539 (million) 19.57/2.92 % (27298)------------------------------ 19.57/2.92 % (27298)------------------------------ 19.57/2.93 % (27311)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on theBenchmark for (2974ds/434Mi) 19.93/2.96 % (27296)Instruction limit reached! 19.93/2.96 % (27296)------------------------------ 19.93/2.96 % (27296)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 19.93/2.96 % (27296)Termination reason: Unknown 19.93/2.96 % (27296)Termination phase: Saturation 19.93/2.96 19.93/2.96 % (27296)Memory used [KB]: 7419 19.93/2.96 % (27296)Time elapsed: 0.785 s 19.93/2.96 % (27296)Instructions burned: 1656 (million) 19.93/2.96 % (27296)------------------------------ 19.93/2.96 % (27296)------------------------------ 19.93/2.99 % (27312)lrs+10_1:8_av=off:fe=off:hud=5:piset=or:prag=on:i=452:si=on:rtra=on_0 on theBenchmark for (2973ds/452Mi) 20.21/3.02 % (27310)Instruction limit reached! 20.21/3.02 % (27310)------------------------------ 20.21/3.02 % (27310)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 20.21/3.02 % (27310)Termination reason: Unknown 20.21/3.02 % (27310)Termination phase: Saturation 20.21/3.02 20.21/3.02 % (27310)Memory used [KB]: 7164 20.21/3.02 % (27310)Time elapsed: 0.171 s 20.21/3.02 % (27310)Instructions burned: 371 (million) 20.21/3.02 % (27310)------------------------------ 20.21/3.02 % (27310)------------------------------ 20.21/3.03 % (27313)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on theBenchmark for (2973ds/5411Mi) 20.60/3.12 % (27311)Instruction limit reached! 20.60/3.12 % (27311)------------------------------ 20.60/3.12 % (27311)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 20.60/3.12 % (27311)Termination reason: Unknown 20.60/3.12 % (27311)Termination phase: Saturation 20.60/3.12 20.60/3.12 % (27311)Memory used [KB]: 7419 20.60/3.12 % (27311)Time elapsed: 0.195 s 20.60/3.12 % (27311)Instructions burned: 434 (million) 20.60/3.12 % (27311)------------------------------ 20.60/3.12 % (27311)------------------------------ 20.60/3.14 % (27314)dis+1010_1:1_cnfonf=conj_eager:e2e=on:fe=axiom:fsr=off:ntd=on:nwc=10.0:s2a=on:sgt=5:sp=occurrence:ss=axioms:i=1110:si=on:rtra=on_0 on theBenchmark for (2972ds/1110Mi) 21.28/3.19 % (27303)First to succeed. 21.52/3.21 % (27312)Instruction limit reached! 21.52/3.21 % (27312)------------------------------ 21.52/3.21 % (27312)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 21.52/3.21 % (27312)Termination reason: Unknown 21.52/3.21 % (27312)Termination phase: Saturation 21.52/3.21 21.52/3.21 % (27312)Memory used [KB]: 3070 21.52/3.21 % (27312)Time elapsed: 0.216 s 21.52/3.21 % (27312)Instructions burned: 454 (million) 21.52/3.21 % (27312)------------------------------ 21.52/3.21 % (27312)------------------------------ 21.52/3.22 % (27303)Refutation found. Thanks to Tanya! 21.52/3.22 % SZS status Theorem for theBenchmark 21.52/3.22 % SZS output start Proof for theBenchmark 21.52/3.22 thf(type_def_5, type, a: $tType). 21.52/3.22 thf(func_def_0, type, a: $tType). 21.52/3.22 thf(func_def_22, type, ph1: !>[X0: $tType]:(X0)). 21.52/3.22 thf(func_def_23, type, sK2: a > a > $o). 21.52/3.22 thf(func_def_24, type, sK3: a > a > $o). 21.52/3.22 thf(func_def_25, type, sK4: a). 21.52/3.22 thf(func_def_26, type, sK5: a). 21.52/3.22 thf(func_def_27, type, sK6: a > $o). 21.52/3.22 thf(func_def_28, type, sK7: a). 21.52/3.22 thf(func_def_29, type, sK8: a > $o). 21.52/3.22 thf(func_def_30, type, sK9: a > $o). 21.52/3.22 thf(func_def_31, type, sK10: a > $o). 21.52/3.22 thf(func_def_32, type, sK11: a > $o). 21.52/3.22 thf(func_def_33, type, sK12: a > $o). 21.52/3.22 thf(func_def_34, type, sK13: a). 21.52/3.22 thf(func_def_35, type, sK14: a). 21.52/3.22 thf(func_def_36, type, sK15: a). 21.52/3.22 thf(func_def_37, type, sK16: a). 21.52/3.22 thf(func_def_38, type, sK17: a). 21.52/3.22 thf(func_def_39, type, sK18: a). 21.52/3.22 thf(func_def_40, type, sK19: a). 21.52/3.22 thf(func_def_41, type, sK20: a). 21.52/3.22 thf(func_def_42, type, sK21: a). 21.52/3.22 thf(func_def_43, type, sK22: a). 21.52/3.22 thf(func_def_44, type, sK23: a). 21.52/3.22 thf(func_def_45, type, sK24: a). 21.52/3.22 thf(func_def_46, type, sK25: a). 21.52/3.22 thf(func_def_47, type, sK26: a). 21.52/3.22 thf(func_def_48, type, sK27: a). 21.52/3.22 thf(func_def_49, type, sK28: a). 21.52/3.22 thf(func_def_50, type, sK29: a). 21.52/3.22 thf(func_def_51, type, sK30: (a > $o) > a). 21.52/3.22 thf(func_def_52, type, sK31: a). 21.52/3.22 thf(func_def_53, type, sK32: a). 21.52/3.22 thf(func_def_54, type, sK33: a). 21.52/3.22 thf(func_def_55, type, sK34: a). 21.52/3.22 thf(func_def_56, type, sK35: a). 21.52/3.22 thf(func_def_57, type, sK36: a). 21.52/3.22 thf(func_def_58, type, sK37: a). 21.52/3.22 thf(func_def_59, type, sK38: a). 21.52/3.22 thf(func_def_60, type, sK39: a > $o). 21.52/3.22 thf(func_def_61, type, sK40: a > $o). 21.52/3.22 thf(func_def_62, type, sK41: a). 21.52/3.22 thf(func_def_63, type, sK42: a). 21.52/3.22 thf(func_def_64, type, sK43: a > $o). 21.52/3.22 thf(func_def_65, type, sK44: a > $o). 21.52/3.22 thf(func_def_66, type, sK45: a). 21.52/3.22 thf(func_def_67, type, sK46: a). 21.52/3.22 thf(func_def_68, type, sK47: a). 21.52/3.22 thf(func_def_69, type, sK48: a > $o). 21.52/3.22 thf(func_def_70, type, sK49: a > $o). 21.52/3.22 thf(func_def_71, type, sK50: (a > $o) > a). 21.52/3.22 thf(func_def_72, type, sK51: a). 21.52/3.22 thf(func_def_73, type, sK52: a). 21.52/3.22 thf(func_def_74, type, sK53: a). 21.52/3.22 thf(func_def_75, type, sK54: a > $o). 21.52/3.22 thf(func_def_76, type, sK55: a > $o). 21.52/3.22 thf(func_def_77, type, sK56: a > $o). 21.52/3.22 thf(func_def_78, type, sK57: a > $o). 21.52/3.22 thf(func_def_79, type, sK58: a). 21.52/3.22 thf(func_def_80, type, sK59: (a > $o) > a). 21.52/3.22 thf(func_def_81, type, sK60: a > $o). 21.52/3.22 thf(func_def_82, type, sK61: a > $o). 21.52/3.22 thf(func_def_83, type, sK62: a > $o). 21.52/3.22 thf(func_def_84, type, sK63: a > $o). 21.52/3.22 thf(func_def_85, type, sK64: a). 21.52/3.22 thf(func_def_86, type, sK65: a). 21.52/3.22 thf(func_def_87, type, sK66: a). 21.52/3.22 thf(func_def_88, type, sK67: a > $o). 21.52/3.22 thf(func_def_89, type, sK68: a > $o). 21.52/3.22 thf(func_def_90, type, sK69: a > $o). 21.52/3.22 thf(func_def_91, type, sK70: a > $o). 21.52/3.22 thf(func_def_92, type, sK71: (a > $o) > a). 21.52/3.22 thf(func_def_93, type, sK72: a). 21.52/3.22 thf(func_def_94, type, sK73: a). 21.52/3.22 thf(func_def_95, type, sK74: a). 21.52/3.22 thf(func_def_96, type, sK75: a). 21.52/3.22 thf(f11400,plain,( 21.52/3.22 $false), 21.52/3.22 inference(avatar_sat_refutation,[],[f27,f34,f60,f63,f94,f421,f638,f713,f838,f919,f948,f984,f1108,f1211,f1316,f1359,f1572,f1624,f1684,f2114,f2164,f2397,f2400,f2852,f3009,f3065,f5060,f10820,f11399])). 21.52/3.22 thf(f11399,plain,( 21.52/3.22 ~spl0_1 | ~spl0_30), 21.52/3.22 inference(avatar_contradiction_clause,[],[f11398])). 21.52/3.22 thf(f11398,plain,( 21.52/3.22 $false | (~spl0_1 | ~spl0_30)), 21.52/3.22 inference(trivial_inequality_removal,[],[f11397])). 21.52/3.22 thf(f11397,plain,( 21.52/3.22 ($true = $false) | (~spl0_1 | ~spl0_30)), 21.52/3.22 inference(forward_demodulation,[],[f11396,f10870])). 21.52/3.22 thf(f10870,plain,( 21.52/3.22 ((sK12 @ sK73) = $false) | ~spl0_30), 21.52/3.22 inference(boolean_simplification,[],[f10869])). 21.52/3.22 thf(f10869,plain,( 21.52/3.22 (($true => (sK12 @ sK73)) = $false) | ~spl0_30), 21.52/3.22 inference(backward_demodulation,[],[f10864,f10868])). 21.52/3.22 thf(f10868,plain,( 21.52/3.22 ($true = ((sK3 @ sK74 @ sK73) & (sK12 @ sK74))) | ~spl0_30), 21.52/3.22 inference(binary_proxy_clausification,[],[f10864])). 21.52/3.22 thf(f10864,plain,( 21.52/3.22 ((((sK3 @ sK74 @ sK73) & (sK12 @ sK74)) => (sK12 @ sK73)) = $false) | ~spl0_30), 21.52/3.22 inference(beta_eta_normalization,[],[f10863])). 21.52/3.22 thf(f10863,plain,( 21.52/3.22 (((^[Y0 : a]: (((sK3 @ Y0 @ sK73) & (sK12 @ Y0)) => (sK12 @ sK73))) @ sK74) = $false) | ~spl0_30), 21.52/3.22 inference(sigma_clausification,[],[f10858])). 21.52/3.22 thf(f10858,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: (((sK3 @ Y0 @ sK73) & (sK12 @ Y0)) => (sK12 @ sK73)))) = $false) | ~spl0_30), 21.52/3.22 inference(beta_eta_normalization,[],[f10857])). 21.52/3.22 thf(f10857,plain,( 21.52/3.22 (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y1 @ Y0) & (sK12 @ Y1)) => (sK12 @ Y0))))) @ sK73) = $false) | ~spl0_30), 21.52/3.22 inference(sigma_clausification,[],[f1571])). 21.52/3.22 thf(f1571,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y1 @ Y0) & (sK12 @ Y1)) => (sK12 @ Y0)))))) = $false) | ~spl0_30), 21.52/3.22 inference(avatar_component_clause,[],[f1570])). 21.52/3.22 thf(f1570,plain,( 21.52/3.22 spl0_30 <=> ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y1 @ Y0) & (sK12 @ Y1)) => (sK12 @ Y0)))))) = $false)), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_30])])). 21.52/3.22 thf(f11396,plain,( 21.52/3.22 ($true = (sK12 @ sK73)) | (~spl0_1 | ~spl0_30)), 21.52/3.22 inference(boolean_simplification,[],[f11395])). 21.52/3.22 thf(f11395,plain,( 21.52/3.22 (($true => (sK12 @ sK73)) = $true) | (~spl0_1 | ~spl0_30)), 21.52/3.22 inference(forward_demodulation,[],[f11394,f11347])). 21.52/3.22 thf(f11347,plain,( 21.52/3.22 ((sK12 @ sK75) = $true) | ~spl0_30), 21.52/3.22 inference(boolean_simplification,[],[f11346])). 21.52/3.22 thf(f11346,plain,( 21.52/3.22 ($true = ($true & (sK12 @ sK75))) | ~spl0_30), 21.52/3.22 inference(backward_demodulation,[],[f11337,f11345])). 21.52/3.22 thf(f11345,plain,( 21.52/3.22 ($true = (sK3 @ sK75 @ sK73)) | ~spl0_30), 21.52/3.22 inference(binary_proxy_clausification,[],[f11337])). 21.52/3.22 thf(f11337,plain,( 21.52/3.22 ($true = ((sK3 @ sK75 @ sK73) & (sK12 @ sK75))) | ~spl0_30), 21.52/3.22 inference(not_proxy_clausification,[],[f11333])). 21.52/3.22 thf(f11333,plain,( 21.52/3.22 ((~ ((sK3 @ sK75 @ sK73) & (sK12 @ sK75))) = $false) | ~spl0_30), 21.52/3.22 inference(beta_eta_normalization,[],[f11332])). 21.52/3.22 thf(f11332,plain,( 21.52/3.22 (((^[Y0 : a]: (~ ((sK3 @ Y0 @ sK73) & (sK12 @ Y0)))) @ sK75) = $false) | ~spl0_30), 21.52/3.22 inference(sigma_clausification,[],[f10872])). 21.52/3.22 thf(f10872,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: (~ ((sK3 @ Y0 @ sK73) & (sK12 @ Y0))))) = $false) | ~spl0_30), 21.52/3.22 inference(boolean_simplification,[],[f10871])). 21.52/3.22 thf(f10871,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: (((sK3 @ Y0 @ sK73) & (sK12 @ Y0)) => $false))) = $false) | ~spl0_30), 21.52/3.22 inference(backward_demodulation,[],[f10858,f10870])). 21.52/3.22 thf(f11394,plain,( 21.52/3.22 ($true = ((sK12 @ sK75) => (sK12 @ sK73))) | (~spl0_1 | ~spl0_30)), 21.52/3.22 inference(boolean_simplification,[],[f11393])). 21.52/3.22 thf(f11393,plain,( 21.52/3.22 ($true = (($true & (sK12 @ sK75)) => (sK12 @ sK73))) | (~spl0_1 | ~spl0_30)), 21.52/3.22 inference(boolean_simplification,[],[f11392])). 21.52/3.22 thf(f11392,plain,( 21.52/3.22 ($true = ((($true | (sK2 @ sK75 @ sK73)) & (sK12 @ sK75)) => (sK12 @ sK73))) | (~spl0_1 | ~spl0_30)), 21.52/3.22 inference(superposition,[],[f10874,f11345])). 21.52/3.22 thf(f10874,plain,( 21.52/3.22 ( ! [X2 : a,X1 : a] : ((((((sK3 @ X1 @ X2) | (sK2 @ X1 @ X2)) & (sK12 @ X1)) => (sK12 @ X2)) = $true)) ) | ~spl0_1), 21.52/3.22 inference(beta_eta_normalization,[],[f10873])). 21.52/3.22 thf(f10873,plain,( 21.52/3.22 ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: ((((sK3 @ X1 @ Y0) | (sK2 @ X1 @ Y0)) & (sK12 @ X1)) => (sK12 @ Y0))) @ X2))) ) | ~spl0_1), 21.52/3.22 inference(pi_clausification,[],[f10866])). 21.52/3.22 thf(f10866,plain,( 21.52/3.22 ( ! [X1 : a] : (((!! @ a @ (^[Y0 : a]: ((((sK3 @ X1 @ Y0) | (sK2 @ X1 @ Y0)) & (sK12 @ X1)) => (sK12 @ Y0)))) = $true)) ) | ~spl0_1), 21.52/3.22 inference(beta_eta_normalization,[],[f10865])). 21.52/3.22 thf(f10865,plain,( 21.52/3.22 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK12 @ Y0)) => (sK12 @ Y1))))) @ X1))) ) | ~spl0_1), 21.52/3.22 inference(pi_clausification,[],[f10862])). 21.52/3.22 thf(f10862,plain,( 21.52/3.22 ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK12 @ Y0)) => (sK12 @ Y1))))))) | ~spl0_1), 21.52/3.22 inference(boolean_simplification,[],[f10861])). 21.52/3.22 thf(f10861,plain,( 21.52/3.22 ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK12 @ Y0)) => (sK12 @ Y1)))))) & $true)) | ~spl0_1), 21.52/3.22 inference(backward_demodulation,[],[f10836,f10859])). 21.52/3.22 thf(f10859,plain,( 21.52/3.22 ($true = (!! @ a @ (^[Y0 : a]: (((sK2 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK12 @ Y0))))) | ~spl0_1), 21.52/3.22 inference(binary_proxy_clausification,[],[f10836])). 21.52/3.22 thf(f10836,plain,( 21.52/3.22 ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK12 @ Y0)) => (sK12 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK2 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK12 @ Y0)))))) | ~spl0_1), 21.52/3.22 inference(binary_proxy_clausification,[],[f10834])). 21.52/3.22 thf(f10834,plain,( 21.52/3.22 ((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK12 @ Y0)) => (sK12 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK2 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK12 @ Y0))))) => (sK12 @ sK5)) = $false) | ~spl0_1), 21.52/3.22 inference(beta_eta_normalization,[],[f10833])). 21.52/3.22 thf(f10833,plain,( 21.52/3.22 (((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK5))) @ sK12) = $false) | ~spl0_1), 21.52/3.22 inference(sigma_clausification,[],[f23])). 21.52/3.22 thf(f23,plain,( 21.52/3.22 ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK5)))) = $false) | ~spl0_1), 21.52/3.22 inference(avatar_component_clause,[],[f22])). 21.52/3.22 thf(f22,plain,( 21.52/3.22 spl0_1 <=> ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK5)))) = $false)), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])). 21.52/3.22 thf(f10820,plain,( 21.52/3.22 ~spl0_2 | ~spl0_6 | ~spl0_43), 21.52/3.22 inference(avatar_contradiction_clause,[],[f10819])). 21.52/3.22 thf(f10819,plain,( 21.52/3.22 $false | (~spl0_2 | ~spl0_6 | ~spl0_43)), 21.52/3.22 inference(trivial_inequality_removal,[],[f10818])). 21.52/3.22 thf(f10818,plain,( 21.52/3.22 ($true = $false) | (~spl0_2 | ~spl0_6 | ~spl0_43)), 21.52/3.22 inference(boolean_simplification,[],[f10817])). 21.52/3.22 thf(f10817,plain,( 21.52/3.22 ($true = (~ $true)) | (~spl0_2 | ~spl0_6 | ~spl0_43)), 21.52/3.22 inference(forward_demodulation,[],[f10800,f3064])). 21.52/3.22 thf(f3064,plain,( 21.52/3.22 ($true = (sK2 @ sK37 @ sK38)) | ~spl0_43), 21.52/3.22 inference(avatar_component_clause,[],[f3063])). 21.52/3.22 thf(f3063,plain,( 21.52/3.22 spl0_43 <=> ($true = (sK2 @ sK37 @ sK38))), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_43])])). 21.52/3.22 thf(f10800,plain,( 21.52/3.22 ($true = (~ (sK2 @ sK37 @ sK38))) | (~spl0_2 | ~spl0_6)), 21.52/3.22 inference(boolean_simplification,[],[f10792])). 21.52/3.22 thf(f10792,plain,( 21.52/3.22 ($true = ((sK2 @ sK37 @ sK38) => $false)) | (~spl0_2 | ~spl0_6)), 21.52/3.22 inference(superposition,[],[f10768,f4092])). 21.52/3.22 thf(f4092,plain,( 21.52/3.22 ($false = (sK49 @ sK38)) | (~spl0_2 | ~spl0_6)), 21.52/3.22 inference(binary_proxy_clausification,[],[f4069])). 21.52/3.22 thf(f4069,plain,( 21.52/3.22 ((((!! @ a @ (^[Y0 : a]: ((sK2 @ sK37 @ Y0) => (sK49 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK2 @ Y0 @ Y1) & (sK49 @ Y0)) => (sK49 @ Y1))))))) => (sK49 @ sK38)) = $false) | (~spl0_2 | ~spl0_6)), 21.52/3.22 inference(beta_eta_normalization,[],[f4065])). 21.52/3.22 thf(f4065,plain,( 21.52/3.22 (((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK37 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK38))) @ sK49) = $false) | (~spl0_2 | ~spl0_6)), 21.52/3.22 inference(sigma_clausification,[],[f3322])). 21.52/3.22 thf(f3322,plain,( 21.52/3.22 ($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK37 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK38))))) | (~spl0_2 | ~spl0_6)), 21.52/3.22 inference(binary_proxy_clausification,[],[f3164])). 21.52/3.22 thf(f3164,plain,( 21.52/3.22 (((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK37 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK38)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK37 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK38))))) = $false) | (~spl0_2 | ~spl0_6)), 21.52/3.22 inference(boolean_simplification,[],[f3159])). 21.52/3.22 thf(f3159,plain,( 21.52/3.22 (($true & ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK37 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK38)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK37 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK38)))))) = $false) | (~spl0_2 | ~spl0_6)), 21.52/3.22 inference(superposition,[],[f3135,f3049])). 21.52/3.22 thf(f3049,plain,( 21.52/3.22 ($true = (sK6 @ sK37)) | ~spl0_6), 21.52/3.22 inference(boolean_simplification,[],[f3048])). 21.52/3.22 thf(f3048,plain,( 21.52/3.22 ($true = ($true & (sK6 @ sK37))) | ~spl0_6), 21.52/3.22 inference(backward_demodulation,[],[f3032,f3047])). 21.52/3.22 thf(f3047,plain,( 21.52/3.22 ($true = ((sK3 @ sK37 @ sK38) | (sK2 @ sK37 @ sK38))) | ~spl0_6), 21.52/3.22 inference(binary_proxy_clausification,[],[f3032])). 21.52/3.22 thf(f3032,plain,( 21.52/3.22 ($true = (((sK3 @ sK37 @ sK38) | (sK2 @ sK37 @ sK38)) & (sK6 @ sK37))) | ~spl0_6), 21.52/3.22 inference(binary_proxy_clausification,[],[f3028])). 21.52/3.22 thf(f3028,plain,( 21.52/3.22 ($false = ((((sK3 @ sK37 @ sK38) | (sK2 @ sK37 @ sK38)) & (sK6 @ sK37)) => (sK6 @ sK38))) | ~spl0_6), 21.52/3.22 inference(beta_eta_normalization,[],[f3027])). 21.52/3.22 thf(f3027,plain,( 21.52/3.22 (((^[Y0 : a]: ((((sK3 @ sK37 @ Y0) | (sK2 @ sK37 @ Y0)) & (sK6 @ sK37)) => (sK6 @ Y0))) @ sK38) = $false) | ~spl0_6), 21.52/3.22 inference(sigma_clausification,[],[f3020])). 21.52/3.22 thf(f3020,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: ((((sK3 @ sK37 @ Y0) | (sK2 @ sK37 @ Y0)) & (sK6 @ sK37)) => (sK6 @ Y0)))) = $false) | ~spl0_6), 21.52/3.22 inference(beta_eta_normalization,[],[f3017])). 21.52/3.22 thf(f3017,plain,( 21.52/3.22 (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK6 @ Y0)) => (sK6 @ Y1))))) @ sK37) = $false) | ~spl0_6), 21.52/3.22 inference(sigma_clausification,[],[f59])). 21.52/3.22 thf(f59,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK6 @ Y0)) => (sK6 @ Y1)))))) = $false) | ~spl0_6), 21.52/3.22 inference(avatar_component_clause,[],[f58])). 21.52/3.22 thf(f58,plain,( 21.52/3.22 spl0_6 <=> ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK6 @ Y0)) => (sK6 @ Y1)))))) = $false)), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])). 21.52/3.22 thf(f3135,plain,( 21.52/3.22 ( ! [X0 : a] : ((((sK6 @ X0) & ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ X0 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK38)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ X0 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK38)))))) = $false)) ) | (~spl0_2 | ~spl0_6)), 21.52/3.22 inference(not_proxy_clausification,[],[f3043])). 21.52/3.22 thf(f3043,plain,( 21.52/3.22 ( ! [X0 : a] : (($true = (~ ((sK6 @ X0) & ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ X0 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK38)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ X0 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK38))))))))) ) | (~spl0_2 | ~spl0_6)), 21.52/3.22 inference(boolean_simplification,[],[f3039])). 21.52/3.22 thf(f3039,plain,( 21.52/3.22 ( ! [X0 : a] : (($true = (((sK6 @ X0) & ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ X0 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK38)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ X0 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK38)))))) => $false))) ) | (~spl0_2 | ~spl0_6)), 21.52/3.22 inference(superposition,[],[f2544,f3031])). 21.52/3.22 thf(f3031,plain,( 21.52/3.22 ((sK6 @ sK38) = $false) | ~spl0_6), 21.52/3.22 inference(binary_proxy_clausification,[],[f3028])). 21.52/3.22 thf(f2544,plain,( 21.52/3.22 ( ! [X2 : a,X1 : a] : (($true = (((sK6 @ X2) & ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ X2 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ X1)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ X2 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ X1)))))) => (sK6 @ X1)))) ) | ~spl0_2), 21.52/3.22 inference(beta_eta_normalization,[],[f2543])). 21.52/3.22 thf(f2543,plain,( 21.52/3.22 ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: (((sK6 @ Y0) & ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ X1)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK2 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ X1)))))) => (sK6 @ X1))) @ X2))) ) | ~spl0_2), 21.52/3.22 inference(pi_clausification,[],[f2542])). 21.52/3.22 thf(f2542,plain,( 21.52/3.22 ( ! [X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: (((sK6 @ Y0) & ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ X1)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK2 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ X1)))))) => (sK6 @ X1)))))) ) | ~spl0_2), 21.52/3.22 inference(beta_eta_normalization,[],[f2541])). 21.52/3.22 thf(f2541,plain,( 21.52/3.22 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y1) & ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK2 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))))) => (sK6 @ Y0))))) @ X1))) ) | ~spl0_2), 21.52/3.22 inference(pi_clausification,[],[f2441])). 21.52/3.22 thf(f2441,plain,( 21.52/3.22 ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y1) & ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK2 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))))) => (sK6 @ Y0))))))) | ~spl0_2), 21.52/3.22 inference(binary_proxy_clausification,[],[f2432])). 21.52/3.22 thf(f2432,plain,( 21.52/3.22 ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y1) & ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK2 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))))) => (sK6 @ Y0)))))) & (!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK2 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ Y0))))) => (sK6 @ Y0)))))) | ~spl0_2), 21.52/3.22 inference(binary_proxy_clausification,[],[f2428])). 21.52/3.22 thf(f2428,plain,( 21.52/3.22 ($false = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y1) & ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK2 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))))) => (sK6 @ Y0)))))) & (!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK2 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ Y0))))) => (sK6 @ Y0))))) => (sK6 @ sK5))) | ~spl0_2), 21.52/3.22 inference(beta_eta_normalization,[],[f2427])). 21.52/3.22 thf(f2427,plain,( 21.52/3.22 (((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK3 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK3 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y1)))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK2 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK2 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y1)))))) => (Y0 @ Y1)))))) & (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ sK4 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ sK4 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y4 @ Y3) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y1))))) => (Y0 @ Y1))))) => (Y0 @ sK5))) @ sK6) = $false) | ~spl0_2), 21.52/3.22 inference(sigma_clausification,[],[f26])). 21.52/3.22 thf(f26,plain,( 21.52/3.22 ($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK3 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK3 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y1)))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK2 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK2 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y1)))))) => (Y0 @ Y1)))))) & (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ sK4 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ sK4 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y4 @ Y3) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y1))))) => (Y0 @ Y1))))) => (Y0 @ sK5))))) | ~spl0_2), 21.52/3.22 inference(avatar_component_clause,[],[f25])). 21.52/3.22 thf(f25,plain,( 21.52/3.22 spl0_2 <=> ($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK3 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK3 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y1)))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK2 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK2 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y1)))))) => (Y0 @ Y1)))))) & (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ sK4 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ sK4 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y4 @ Y3) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y1))))) => (Y0 @ Y1))))) => (Y0 @ sK5)))))), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 21.52/3.22 thf(f10768,plain,( 21.52/3.22 ( ! [X1 : a] : (($true = ((sK2 @ sK37 @ X1) => (sK49 @ X1)))) ) | (~spl0_2 | ~spl0_6)), 21.52/3.22 inference(beta_eta_normalization,[],[f10767])). 21.52/3.22 thf(f10767,plain,( 21.52/3.22 ( ! [X1 : a] : (($true = ((^[Y0 : a]: ((sK2 @ sK37 @ Y0) => (sK49 @ Y0))) @ X1))) ) | (~spl0_2 | ~spl0_6)), 21.52/3.22 inference(pi_clausification,[],[f5473])). 21.52/3.22 thf(f5473,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: ((sK2 @ sK37 @ Y0) => (sK49 @ Y0)))) = $true) | (~spl0_2 | ~spl0_6)), 21.52/3.22 inference(binary_proxy_clausification,[],[f4093])). 21.52/3.22 thf(f4093,plain,( 21.52/3.22 ($true = ((!! @ a @ (^[Y0 : a]: ((sK2 @ sK37 @ Y0) => (sK49 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK2 @ Y0 @ Y1) & (sK49 @ Y0)) => (sK49 @ Y1)))))))) | (~spl0_2 | ~spl0_6)), 21.52/3.22 inference(binary_proxy_clausification,[],[f4069])). 21.52/3.22 thf(f5060,plain,( 21.52/3.22 ~spl0_2 | ~spl0_6 | ~spl0_42), 21.52/3.22 inference(avatar_contradiction_clause,[],[f5059])). 21.52/3.22 thf(f5059,plain,( 21.52/3.22 $false | (~spl0_2 | ~spl0_6 | ~spl0_42)), 21.52/3.22 inference(trivial_inequality_removal,[],[f5058])). 21.52/3.22 thf(f5058,plain,( 21.52/3.22 ($true = $false) | (~spl0_2 | ~spl0_6 | ~spl0_42)), 21.52/3.22 inference(forward_demodulation,[],[f5048,f3357])). 21.52/3.22 thf(f3357,plain,( 21.52/3.22 ((sK44 @ sK38) = $false) | (~spl0_2 | ~spl0_6)), 21.52/3.22 inference(binary_proxy_clausification,[],[f3342])). 21.52/3.22 thf(f3342,plain,( 21.52/3.22 ((((!! @ a @ (^[Y0 : a]: ((sK3 @ sK37 @ Y0) => (sK44 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y0 @ Y1) & (sK44 @ Y0)) => (sK44 @ Y1))))))) => (sK44 @ sK38)) = $false) | (~spl0_2 | ~spl0_6)), 21.52/3.22 inference(beta_eta_normalization,[],[f3336])). 21.52/3.22 thf(f3336,plain,( 21.52/3.22 (((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK37 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK38))) @ sK44) = $false) | (~spl0_2 | ~spl0_6)), 21.52/3.22 inference(sigma_clausification,[],[f3332])). 21.52/3.22 thf(f3332,plain,( 21.52/3.22 ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK37 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK38)))) = $false) | (~spl0_2 | ~spl0_6)), 21.52/3.22 inference(boolean_simplification,[],[f3331])). 21.52/3.22 thf(f3331,plain,( 21.52/3.22 ($false = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK37 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK38)))) | $false)) | (~spl0_2 | ~spl0_6)), 21.52/3.22 inference(backward_demodulation,[],[f3164,f3322])). 21.52/3.22 thf(f5048,plain,( 21.52/3.22 ($true = (sK44 @ sK38)) | (~spl0_2 | ~spl0_6 | ~spl0_42)), 21.52/3.22 inference(boolean_simplification,[],[f5047])). 21.52/3.22 thf(f5047,plain,( 21.52/3.22 ($true = ($true => (sK44 @ sK38))) | (~spl0_2 | ~spl0_6 | ~spl0_42)), 21.52/3.22 inference(superposition,[],[f5032,f3061])). 21.52/3.22 thf(f3061,plain,( 21.52/3.22 ($true = (sK3 @ sK37 @ sK38)) | ~spl0_42), 21.52/3.22 inference(avatar_component_clause,[],[f3060])). 21.52/3.22 thf(f3060,plain,( 21.52/3.22 spl0_42 <=> ($true = (sK3 @ sK37 @ sK38))), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_42])])). 21.52/3.22 thf(f5032,plain,( 21.52/3.22 ( ! [X1 : a] : (($true = ((sK3 @ sK37 @ X1) => (sK44 @ X1)))) ) | (~spl0_2 | ~spl0_6)), 21.52/3.22 inference(beta_eta_normalization,[],[f5031])). 21.52/3.22 thf(f5031,plain,( 21.52/3.22 ( ! [X1 : a] : (($true = ((^[Y0 : a]: ((sK3 @ sK37 @ Y0) => (sK44 @ Y0))) @ X1))) ) | (~spl0_2 | ~spl0_6)), 21.52/3.22 inference(pi_clausification,[],[f3908])). 21.52/3.22 thf(f3908,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: ((sK3 @ sK37 @ Y0) => (sK44 @ Y0)))) = $true) | (~spl0_2 | ~spl0_6)), 21.52/3.22 inference(binary_proxy_clausification,[],[f3358])). 21.52/3.22 thf(f3358,plain,( 21.52/3.22 ($true = ((!! @ a @ (^[Y0 : a]: ((sK3 @ sK37 @ Y0) => (sK44 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y0 @ Y1) & (sK44 @ Y0)) => (sK44 @ Y1)))))))) | (~spl0_2 | ~spl0_6)), 21.52/3.22 inference(binary_proxy_clausification,[],[f3342])). 21.52/3.22 thf(f3065,plain,( 21.52/3.22 spl0_42 | spl0_43 | ~spl0_6), 21.52/3.22 inference(avatar_split_clause,[],[f3058,f58,f3063,f3060])). 21.52/3.22 thf(f3058,plain,( 21.52/3.22 ($true = (sK2 @ sK37 @ sK38)) | ($true = (sK3 @ sK37 @ sK38)) | ~spl0_6), 21.52/3.22 inference(binary_proxy_clausification,[],[f3047])). 21.52/3.22 thf(f3009,plain,( 21.52/3.22 ~spl0_2 | ~spl0_5 | ~spl0_8), 21.52/3.22 inference(avatar_contradiction_clause,[],[f3008])). 21.52/3.22 thf(f3008,plain,( 21.52/3.22 $false | (~spl0_2 | ~spl0_5 | ~spl0_8)), 21.52/3.22 inference(trivial_inequality_removal,[],[f3007])). 21.52/3.22 thf(f3007,plain,( 21.52/3.22 ($true = $false) | (~spl0_2 | ~spl0_5 | ~spl0_8)), 21.52/3.22 inference(forward_demodulation,[],[f2996,f2697])). 21.52/3.22 thf(f2697,plain,( 21.52/3.22 ((sK8 @ sK7) = $false) | (~spl0_2 | ~spl0_5)), 21.52/3.22 inference(binary_proxy_clausification,[],[f2683])). 21.52/3.22 thf(f2683,plain,( 21.52/3.22 ((((!! @ a @ (^[Y0 : a]: ((sK3 @ sK4 @ Y0) => (sK8 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y1 @ Y0) & (sK8 @ Y1)) => (sK8 @ Y0))))))) => (sK8 @ sK7)) = $false) | (~spl0_2 | ~spl0_5)), 21.52/3.22 inference(beta_eta_normalization,[],[f2681])). 21.52/3.22 thf(f2681,plain,( 21.52/3.22 (((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y2 @ Y1) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK7))) @ sK8) = $false) | (~spl0_2 | ~spl0_5)), 21.52/3.22 inference(sigma_clausification,[],[f2496])). 21.52/3.22 thf(f2496,plain,( 21.52/3.22 ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y2 @ Y1) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK7)))) = $false) | (~spl0_2 | ~spl0_5)), 21.52/3.22 inference(binary_proxy_clausification,[],[f2493])). 21.52/3.22 thf(f2493,plain,( 21.52/3.22 (((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK7)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y2 @ Y1) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK7))))) = $false) | (~spl0_2 | ~spl0_5)), 21.52/3.22 inference(not_proxy_clausification,[],[f2456])). 21.52/3.22 thf(f2456,plain,( 21.52/3.22 ($true = (~ ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK7)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y2 @ Y1) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK7))))))) | (~spl0_2 | ~spl0_5)), 21.52/3.22 inference(boolean_simplification,[],[f2454])). 21.52/3.22 thf(f2454,plain,( 21.52/3.22 ($true = (((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK7)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y2 @ Y1) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK7))))) => $false)) | (~spl0_2 | ~spl0_5)), 21.52/3.22 inference(superposition,[],[f2451,f77])). 21.52/3.22 thf(f77,plain,( 21.52/3.22 ((sK6 @ sK7) = $false) | ~spl0_5), 21.52/3.22 inference(boolean_simplification,[],[f76])). 21.52/3.22 thf(f76,plain,( 21.52/3.22 ($false = ($true => (sK6 @ sK7))) | ~spl0_5), 21.52/3.22 inference(backward_demodulation,[],[f69,f75])). 21.52/3.22 thf(f75,plain,( 21.52/3.22 ($true = ((sK2 @ sK4 @ sK7) | (sK3 @ sK4 @ sK7))) | ~spl0_5), 21.52/3.22 inference(binary_proxy_clausification,[],[f69])). 21.52/3.22 thf(f69,plain,( 21.52/3.22 ((((sK2 @ sK4 @ sK7) | (sK3 @ sK4 @ sK7)) => (sK6 @ sK7)) = $false) | ~spl0_5), 21.52/3.22 inference(beta_eta_normalization,[],[f67])). 21.52/3.22 thf(f67,plain,( 21.52/3.22 (((^[Y0 : a]: (((sK2 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK6 @ Y0))) @ sK7) = $false) | ~spl0_5), 21.52/3.22 inference(sigma_clausification,[],[f56])). 21.52/3.22 thf(f56,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: (((sK2 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK6 @ Y0)))) = $false) | ~spl0_5), 21.52/3.22 inference(avatar_component_clause,[],[f55])). 21.52/3.22 thf(f55,plain,( 21.52/3.22 spl0_5 <=> ((!! @ a @ (^[Y0 : a]: (((sK2 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK6 @ Y0)))) = $false)), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])). 21.52/3.22 thf(f2451,plain,( 21.52/3.22 ( ! [X1 : a] : (((((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ X1)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y2 @ Y1) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ X1))))) => (sK6 @ X1)) = $true)) ) | ~spl0_2), 21.52/3.22 inference(beta_eta_normalization,[],[f2450])). 21.52/3.22 thf(f2450,plain,( 21.52/3.22 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK2 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ Y0))))) => (sK6 @ Y0))) @ X1))) ) | ~spl0_2), 21.52/3.22 inference(pi_clausification,[],[f2443])). 21.52/3.22 thf(f2443,plain,( 21.52/3.22 ($true = (!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK2 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ Y0))))) => (sK6 @ Y0))))) | ~spl0_2), 21.52/3.22 inference(boolean_simplification,[],[f2442])). 21.52/3.22 thf(f2442,plain,( 21.52/3.22 ($true = ($true & (!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK2 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ Y0))))) => (sK6 @ Y0)))))) | ~spl0_2), 21.52/3.22 inference(backward_demodulation,[],[f2432,f2441])). 21.52/3.22 thf(f2996,plain,( 21.52/3.22 ($true = (sK8 @ sK7)) | (~spl0_2 | ~spl0_5 | ~spl0_8)), 21.52/3.22 inference(boolean_simplification,[],[f2991])). 21.52/3.22 thf(f2991,plain,( 21.52/3.22 ($true = ($true => (sK8 @ sK7))) | (~spl0_2 | ~spl0_5 | ~spl0_8)), 21.52/3.22 inference(superposition,[],[f2984,f93])). 21.52/3.22 thf(f93,plain,( 21.52/3.22 ($true = (sK3 @ sK4 @ sK7)) | ~spl0_8), 21.52/3.22 inference(avatar_component_clause,[],[f92])). 21.52/3.22 thf(f92,plain,( 21.52/3.22 spl0_8 <=> ($true = (sK3 @ sK4 @ sK7))), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])). 21.52/3.22 thf(f2984,plain,( 21.52/3.22 ( ! [X1 : a] : (($true = ((sK3 @ sK4 @ X1) => (sK8 @ X1)))) ) | (~spl0_2 | ~spl0_5)), 21.52/3.22 inference(beta_eta_normalization,[],[f2983])). 21.52/3.22 thf(f2983,plain,( 21.52/3.22 ( ! [X1 : a] : (($true = ((^[Y0 : a]: ((sK3 @ sK4 @ Y0) => (sK8 @ Y0))) @ X1))) ) | (~spl0_2 | ~spl0_5)), 21.52/3.22 inference(pi_clausification,[],[f2970])). 21.52/3.22 thf(f2970,plain,( 21.52/3.22 ($true = (!! @ a @ (^[Y0 : a]: ((sK3 @ sK4 @ Y0) => (sK8 @ Y0))))) | (~spl0_2 | ~spl0_5)), 21.52/3.22 inference(boolean_simplification,[],[f2969])). 21.52/3.22 thf(f2969,plain,( 21.52/3.22 ($true = ((!! @ a @ (^[Y0 : a]: ((sK3 @ sK4 @ Y0) => (sK8 @ Y0)))) & $true)) | (~spl0_2 | ~spl0_5)), 21.52/3.22 inference(backward_demodulation,[],[f2698,f2967])). 21.52/3.22 thf(f2967,plain,( 21.52/3.22 ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y1 @ Y0) & (sK8 @ Y1)) => (sK8 @ Y0))))))) | (~spl0_2 | ~spl0_5)), 21.52/3.22 inference(binary_proxy_clausification,[],[f2698])). 21.52/3.22 thf(f2698,plain,( 21.52/3.22 ($true = ((!! @ a @ (^[Y0 : a]: ((sK3 @ sK4 @ Y0) => (sK8 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y1 @ Y0) & (sK8 @ Y1)) => (sK8 @ Y0)))))))) | (~spl0_2 | ~spl0_5)), 21.52/3.22 inference(binary_proxy_clausification,[],[f2683])). 21.52/3.22 thf(f2852,plain,( 21.52/3.22 ~spl0_2 | ~spl0_5 | ~spl0_7), 21.52/3.22 inference(avatar_contradiction_clause,[],[f2851])). 21.52/3.22 thf(f2851,plain,( 21.52/3.22 $false | (~spl0_2 | ~spl0_5 | ~spl0_7)), 21.52/3.22 inference(trivial_inequality_removal,[],[f2850])). 21.52/3.22 thf(f2850,plain,( 21.52/3.22 ($true = $false) | (~spl0_2 | ~spl0_5 | ~spl0_7)), 21.52/3.22 inference(forward_demodulation,[],[f2840,f2512])). 21.52/3.22 thf(f2512,plain,( 21.52/3.22 ((sK10 @ sK7) = $false) | (~spl0_2 | ~spl0_5)), 21.52/3.22 inference(binary_proxy_clausification,[],[f2508])). 21.52/3.22 thf(f2508,plain,( 21.52/3.22 ((((!! @ a @ (^[Y0 : a]: ((sK2 @ sK4 @ Y0) => (sK10 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK10 @ Y1) & (sK2 @ Y1 @ Y0)) => (sK10 @ Y0))))))) => (sK10 @ sK7)) = $false) | (~spl0_2 | ~spl0_5)), 21.52/3.22 inference(beta_eta_normalization,[],[f2506])). 21.52/3.22 thf(f2506,plain,( 21.52/3.22 ($false = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK7))) @ sK10)) | (~spl0_2 | ~spl0_5)), 21.52/3.22 inference(sigma_clausification,[],[f2501])). 21.52/3.22 thf(f2501,plain,( 21.52/3.22 ($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK7))))) | (~spl0_2 | ~spl0_5)), 21.52/3.22 inference(boolean_simplification,[],[f2500])). 21.52/3.22 thf(f2500,plain,( 21.52/3.22 ($false = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK7)))) | $false)) | (~spl0_2 | ~spl0_5)), 21.52/3.22 inference(backward_demodulation,[],[f2493,f2496])). 21.52/3.22 thf(f2840,plain,( 21.52/3.22 ($true = (sK10 @ sK7)) | (~spl0_2 | ~spl0_5 | ~spl0_7)), 21.52/3.22 inference(boolean_simplification,[],[f2838])). 21.52/3.22 thf(f2838,plain,( 21.52/3.22 ($true = ($true => (sK10 @ sK7))) | (~spl0_2 | ~spl0_5 | ~spl0_7)), 21.52/3.22 inference(superposition,[],[f2827,f90])). 21.52/3.22 thf(f90,plain,( 21.52/3.22 ($true = (sK2 @ sK4 @ sK7)) | ~spl0_7), 21.52/3.22 inference(avatar_component_clause,[],[f89])). 21.52/3.22 thf(f89,plain,( 21.52/3.22 spl0_7 <=> ($true = (sK2 @ sK4 @ sK7))), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])). 21.52/3.22 thf(f2827,plain,( 21.52/3.22 ( ! [X1 : a] : ((((sK2 @ sK4 @ X1) => (sK10 @ X1)) = $true)) ) | (~spl0_2 | ~spl0_5)), 21.52/3.22 inference(beta_eta_normalization,[],[f2826])). 21.52/3.22 thf(f2826,plain,( 21.52/3.22 ( ! [X1 : a] : (($true = ((^[Y0 : a]: ((sK2 @ sK4 @ Y0) => (sK10 @ Y0))) @ X1))) ) | (~spl0_2 | ~spl0_5)), 21.52/3.22 inference(pi_clausification,[],[f2596])). 21.52/3.22 thf(f2596,plain,( 21.52/3.22 ($true = (!! @ a @ (^[Y0 : a]: ((sK2 @ sK4 @ Y0) => (sK10 @ Y0))))) | (~spl0_2 | ~spl0_5)), 21.52/3.22 inference(binary_proxy_clausification,[],[f2513])). 21.52/3.22 thf(f2513,plain,( 21.52/3.22 ($true = ((!! @ a @ (^[Y0 : a]: ((sK2 @ sK4 @ Y0) => (sK10 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK10 @ Y1) & (sK2 @ Y1 @ Y0)) => (sK10 @ Y0)))))))) | (~spl0_2 | ~spl0_5)), 21.52/3.22 inference(binary_proxy_clausification,[],[f2508])). 21.52/3.22 thf(f2400,plain,( 21.52/3.22 ~spl0_2 | ~spl0_4), 21.52/3.22 inference(avatar_contradiction_clause,[],[f2399])). 21.52/3.22 thf(f2399,plain,( 21.52/3.22 $false | (~spl0_2 | ~spl0_4)), 21.52/3.22 inference(trivial_inequality_removal,[],[f2398])). 21.52/3.22 thf(f2398,plain,( 21.52/3.22 ($true = $false) | (~spl0_2 | ~spl0_4)), 21.52/3.22 inference(backward_demodulation,[],[f33,f26])). 21.52/3.22 thf(f33,plain,( 21.52/3.22 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK3 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK3 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y1)))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK2 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK2 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y1)))))) => (Y0 @ Y1)))))) & (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ sK4 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ sK4 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y4 @ Y3) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y1))))) => (Y0 @ Y1))))) => (Y0 @ sK5))))) | ~spl0_4), 21.52/3.22 inference(avatar_component_clause,[],[f32])). 21.52/3.22 thf(f32,plain,( 21.52/3.22 spl0_4 <=> ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK3 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK3 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y1)))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK2 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK2 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y1)))))) => (Y0 @ Y1)))))) & (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ sK4 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ sK4 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y4 @ Y3) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y1))))) => (Y0 @ Y1))))) => (Y0 @ sK5)))))), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])). 21.52/3.22 thf(f2397,plain,( 21.52/3.22 ~spl0_1 | ~spl0_20), 21.52/3.22 inference(avatar_contradiction_clause,[],[f2396])). 21.52/3.22 thf(f2396,plain,( 21.52/3.22 $false | (~spl0_1 | ~spl0_20)), 21.52/3.22 inference(trivial_inequality_removal,[],[f2395])). 21.52/3.22 thf(f2395,plain,( 21.52/3.22 ($true = $false) | (~spl0_1 | ~spl0_20)), 21.52/3.22 inference(forward_demodulation,[],[f2394,f2220])). 21.52/3.22 thf(f2220,plain,( 21.52/3.22 ((sK12 @ sK33) = $false) | ~spl0_20), 21.52/3.22 inference(binary_proxy_clausification,[],[f2202])). 21.52/3.22 thf(f2202,plain,( 21.52/3.22 ((((sK2 @ sK32 @ sK33) & (sK12 @ sK32)) => (sK12 @ sK33)) = $false) | ~spl0_20), 21.52/3.22 inference(beta_eta_normalization,[],[f2201])). 21.52/3.22 thf(f2201,plain,( 21.52/3.22 (((^[Y0 : a]: (((sK2 @ sK32 @ Y0) & (sK12 @ sK32)) => (sK12 @ Y0))) @ sK33) = $false) | ~spl0_20), 21.52/3.22 inference(sigma_clausification,[],[f2180])). 21.52/3.22 thf(f2180,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: (((sK2 @ sK32 @ Y0) & (sK12 @ sK32)) => (sK12 @ Y0)))) = $false) | ~spl0_20), 21.52/3.22 inference(beta_eta_normalization,[],[f2178])). 21.52/3.22 thf(f2178,plain,( 21.52/3.22 (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK2 @ Y0 @ Y1) & (sK12 @ Y0)) => (sK12 @ Y1))))) @ sK32) = $false) | ~spl0_20), 21.52/3.22 inference(sigma_clausification,[],[f918])). 21.52/3.22 thf(f918,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK2 @ Y0 @ Y1) & (sK12 @ Y0)) => (sK12 @ Y1)))))) = $false) | ~spl0_20), 21.52/3.22 inference(avatar_component_clause,[],[f917])). 21.52/3.22 thf(f917,plain,( 21.52/3.22 spl0_20 <=> ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK2 @ Y0 @ Y1) & (sK12 @ Y0)) => (sK12 @ Y1)))))) = $false)), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_20])])). 21.52/3.22 thf(f2394,plain,( 21.52/3.22 ($true = (sK12 @ sK33)) | (~spl0_1 | ~spl0_20)), 21.52/3.22 inference(boolean_simplification,[],[f2393])). 21.52/3.22 thf(f2393,plain,( 21.52/3.22 ($true = ($true => (sK12 @ sK33))) | (~spl0_1 | ~spl0_20)), 21.52/3.22 inference(forward_demodulation,[],[f2392,f2249])). 21.52/3.22 thf(f2249,plain,( 21.52/3.22 ($true = (sK12 @ sK32)) | ~spl0_20), 21.52/3.22 inference(boolean_simplification,[],[f2248])). 21.52/3.22 thf(f2248,plain,( 21.52/3.22 ($true = ($true & (sK12 @ sK32))) | ~spl0_20), 21.52/3.22 inference(backward_demodulation,[],[f2221,f2247])). 21.52/3.22 thf(f2247,plain,( 21.52/3.22 ($true = (sK2 @ sK32 @ sK33)) | ~spl0_20), 21.52/3.22 inference(binary_proxy_clausification,[],[f2221])). 21.52/3.22 thf(f2221,plain,( 21.52/3.22 ($true = ((sK2 @ sK32 @ sK33) & (sK12 @ sK32))) | ~spl0_20), 21.52/3.22 inference(binary_proxy_clausification,[],[f2202])). 21.52/3.22 thf(f2392,plain,( 21.52/3.22 ($true = ((sK12 @ sK32) => (sK12 @ sK33))) | (~spl0_1 | ~spl0_20)), 21.52/3.22 inference(boolean_simplification,[],[f2391])). 21.52/3.22 thf(f2391,plain,( 21.52/3.22 ($true = (($true & (sK12 @ sK32)) => (sK12 @ sK33))) | (~spl0_1 | ~spl0_20)), 21.52/3.22 inference(boolean_simplification,[],[f2390])). 21.52/3.22 thf(f2390,plain,( 21.52/3.22 ($true = ((((sK3 @ sK32 @ sK33) | $true) & (sK12 @ sK32)) => (sK12 @ sK33))) | (~spl0_1 | ~spl0_20)), 21.52/3.22 inference(superposition,[],[f335,f2247])). 21.52/3.22 thf(f335,plain,( 21.52/3.22 ( ! [X2 : a,X1 : a] : ((((((sK3 @ X1 @ X2) | (sK2 @ X1 @ X2)) & (sK12 @ X1)) => (sK12 @ X2)) = $true)) ) | ~spl0_1), 21.52/3.22 inference(beta_eta_normalization,[],[f334])). 21.52/3.22 thf(f334,plain,( 21.52/3.22 ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: ((((sK3 @ X1 @ Y0) | (sK2 @ X1 @ Y0)) & (sK12 @ X1)) => (sK12 @ Y0))) @ X2))) ) | ~spl0_1), 21.52/3.22 inference(pi_clausification,[],[f327])). 21.52/3.22 thf(f327,plain,( 21.52/3.22 ( ! [X1 : a] : (((!! @ a @ (^[Y0 : a]: ((((sK3 @ X1 @ Y0) | (sK2 @ X1 @ Y0)) & (sK12 @ X1)) => (sK12 @ Y0)))) = $true)) ) | ~spl0_1), 21.52/3.22 inference(beta_eta_normalization,[],[f326])). 21.52/3.22 thf(f326,plain,( 21.52/3.22 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK12 @ Y0)) => (sK12 @ Y1))))) @ X1))) ) | ~spl0_1), 21.52/3.22 inference(pi_clausification,[],[f320])). 21.52/3.22 thf(f320,plain,( 21.52/3.22 ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK12 @ Y0)) => (sK12 @ Y1))))))) | ~spl0_1), 21.52/3.22 inference(boolean_simplification,[],[f319])). 21.52/3.22 thf(f319,plain,( 21.52/3.22 ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK12 @ Y0)) => (sK12 @ Y1)))))) & $true)) | ~spl0_1), 21.52/3.22 inference(backward_demodulation,[],[f310,f317])). 21.52/3.22 thf(f317,plain,( 21.52/3.22 ($true = (!! @ a @ (^[Y0 : a]: (((sK2 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK12 @ Y0))))) | ~spl0_1), 21.52/3.22 inference(binary_proxy_clausification,[],[f310])). 21.52/3.22 thf(f310,plain,( 21.52/3.22 ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK12 @ Y0)) => (sK12 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK2 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK12 @ Y0)))))) | ~spl0_1), 21.52/3.22 inference(binary_proxy_clausification,[],[f308])). 21.52/3.22 thf(f308,plain,( 21.52/3.22 ((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK12 @ Y0)) => (sK12 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK2 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK12 @ Y0))))) => (sK12 @ sK5)) = $false) | ~spl0_1), 21.52/3.22 inference(beta_eta_normalization,[],[f307])). 21.52/3.22 thf(f307,plain,( 21.52/3.22 (((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK5))) @ sK12) = $false) | ~spl0_1), 21.52/3.22 inference(sigma_clausification,[],[f23])). 21.52/3.22 thf(f2164,plain,( 21.52/3.22 ~spl0_1 | ~spl0_12 | ~spl0_13 | ~spl0_15 | ~spl0_31), 21.52/3.22 inference(avatar_contradiction_clause,[],[f2163])). 21.52/3.22 thf(f2163,plain,( 21.52/3.22 $false | (~spl0_1 | ~spl0_12 | ~spl0_13 | ~spl0_15 | ~spl0_31)), 21.52/3.22 inference(trivial_inequality_removal,[],[f2162])). 21.52/3.22 thf(f2162,plain,( 21.52/3.22 ($true = $false) | (~spl0_1 | ~spl0_12 | ~spl0_13 | ~spl0_15 | ~spl0_31)), 21.52/3.22 inference(boolean_simplification,[],[f2161])). 21.52/3.22 thf(f2161,plain,( 21.52/3.22 ($true = (~ $true)) | (~spl0_1 | ~spl0_12 | ~spl0_13 | ~spl0_15 | ~spl0_31)), 21.52/3.22 inference(boolean_simplification,[],[f2160])). 21.52/3.22 thf(f2160,plain,( 21.52/3.22 ($true = (~ ((sK3 @ sK15 @ sK31) | $true))) | (~spl0_1 | ~spl0_12 | ~spl0_13 | ~spl0_15 | ~spl0_31)), 21.52/3.22 inference(forward_demodulation,[],[f2154,f2140])). 21.52/3.22 thf(f2140,plain,( 21.52/3.22 ((sK2 @ sK15 @ sK31) = $true) | ~spl0_31), 21.52/3.22 inference(binary_proxy_clausification,[],[f2138])). 21.52/3.22 thf(f2138,plain,( 21.52/3.22 (((sK2 @ sK15 @ sK31) => (sK12 @ sK31)) = $false) | ~spl0_31), 21.52/3.22 inference(beta_eta_normalization,[],[f2134])). 21.52/3.22 thf(f2134,plain,( 21.52/3.22 (((^[Y0 : a]: ((sK2 @ sK15 @ Y0) => (sK12 @ Y0))) @ sK31) = $false) | ~spl0_31), 21.52/3.22 inference(sigma_clausification,[],[f2113])). 21.52/3.22 thf(f2113,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: ((sK2 @ sK15 @ Y0) => (sK12 @ Y0)))) = $false) | ~spl0_31), 21.52/3.22 inference(avatar_component_clause,[],[f2112])). 21.52/3.22 thf(f2112,plain,( 21.52/3.22 spl0_31 <=> ((!! @ a @ (^[Y0 : a]: ((sK2 @ sK15 @ Y0) => (sK12 @ Y0)))) = $false)), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_31])])). 21.52/3.22 thf(f2154,plain,( 21.52/3.22 ((~ ((sK3 @ sK15 @ sK31) | (sK2 @ sK15 @ sK31))) = $true) | (~spl0_1 | ~spl0_12 | ~spl0_13 | ~spl0_15 | ~spl0_31)), 21.52/3.22 inference(boolean_simplification,[],[f2149])). 21.52/3.22 thf(f2149,plain,( 21.52/3.22 ($true = (((sK3 @ sK15 @ sK31) | (sK2 @ sK15 @ sK31)) => $false)) | (~spl0_1 | ~spl0_12 | ~spl0_13 | ~spl0_15 | ~spl0_31)), 21.52/3.22 inference(superposition,[],[f1706,f2142])). 21.52/3.22 thf(f2142,plain,( 21.52/3.22 ((sK12 @ sK31) = $false) | ~spl0_31), 21.52/3.22 inference(boolean_simplification,[],[f2141])). 21.52/3.22 thf(f2141,plain,( 21.52/3.22 ($false = ($true => (sK12 @ sK31))) | ~spl0_31), 21.52/3.22 inference(backward_demodulation,[],[f2138,f2140])). 21.52/3.22 thf(f1706,plain,( 21.52/3.22 ( ! [X0 : a] : (($true = (((sK3 @ sK15 @ X0) | (sK2 @ sK15 @ X0)) => (sK12 @ X0)))) ) | (~spl0_1 | ~spl0_12 | ~spl0_13 | ~spl0_15)), 21.52/3.22 inference(boolean_simplification,[],[f1702])). 21.52/3.22 thf(f1702,plain,( 21.52/3.22 ( ! [X0 : a] : (($true = ((((sK3 @ sK15 @ X0) | (sK2 @ sK15 @ X0)) & $true) => (sK12 @ X0)))) ) | (~spl0_1 | ~spl0_12 | ~spl0_13 | ~spl0_15)), 21.52/3.22 inference(superposition,[],[f335,f1698])). 21.52/3.22 thf(f1698,plain,( 21.52/3.22 ($true = (sK12 @ sK15)) | (~spl0_12 | ~spl0_13 | ~spl0_15)), 21.52/3.22 inference(not_proxy_clausification,[],[f1687])). 21.52/3.22 thf(f1687,plain,( 21.52/3.22 ((~ (sK12 @ sK15)) = $false) | (~spl0_12 | ~spl0_13 | ~spl0_15)), 21.52/3.22 inference(boolean_simplification,[],[f1686])). 21.52/3.22 thf(f1686,plain,( 21.52/3.22 ((~ ((sK12 @ sK15) & $true)) = $false) | (~spl0_12 | ~spl0_13 | ~spl0_15)), 21.52/3.22 inference(boolean_simplification,[],[f1685])). 21.52/3.22 thf(f1685,plain,( 21.52/3.22 ((~ ((sK12 @ sK15) & ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK15 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13)))) | $true))) = $false) | (~spl0_12 | ~spl0_13 | ~spl0_15)), 21.52/3.22 inference(backward_demodulation,[],[f1679,f634])). 21.52/3.22 thf(f634,plain,( 21.52/3.22 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK15 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13))))) | ~spl0_13), 21.52/3.22 inference(avatar_component_clause,[],[f633])). 21.52/3.22 thf(f633,plain,( 21.52/3.22 spl0_13 <=> ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK15 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13)))))), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_13])])). 21.52/3.22 thf(f1679,plain,( 21.52/3.22 ($false = (~ ((sK12 @ sK15) & ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK15 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK15 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13)))))))) | (~spl0_12 | ~spl0_15)), 21.52/3.22 inference(beta_eta_normalization,[],[f1678])). 21.52/3.22 thf(f1678,plain,( 21.52/3.22 (((^[Y0 : a]: (~ ((sK12 @ Y0) & ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK13)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK2 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK13)))))))) @ sK15) = $false) | (~spl0_12 | ~spl0_15)), 21.52/3.22 inference(sigma_clausification,[],[f1659])). 21.52/3.22 thf(f1659,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: (~ ((sK12 @ Y0) & ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK13)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK2 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK13))))))))) = $false) | (~spl0_12 | ~spl0_15)), 21.52/3.22 inference(boolean_simplification,[],[f1657])). 21.52/3.22 thf(f1657,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: (((sK12 @ Y0) & ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK13)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK2 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK13)))))) => $false))) = $false) | (~spl0_12 | ~spl0_15)), 21.52/3.22 inference(backward_demodulation,[],[f1631,f1654])). 21.52/3.22 thf(f1654,plain,( 21.52/3.22 ((sK12 @ sK13) = $false) | (~spl0_12 | ~spl0_15)), 21.52/3.22 inference(binary_proxy_clausification,[],[f1642])). 21.52/3.22 thf(f1642,plain,( 21.52/3.22 (((sK12 @ sK14) => (sK12 @ sK13)) = $false) | (~spl0_12 | ~spl0_15)), 21.52/3.22 inference(boolean_simplification,[],[f1641])). 21.52/3.22 thf(f1641,plain,( 21.52/3.22 ((((sK12 @ sK14) & $true) => (sK12 @ sK13)) = $false) | (~spl0_12 | ~spl0_15)), 21.52/3.22 inference(boolean_simplification,[],[f1640])). 21.52/3.22 thf(f1640,plain,( 21.52/3.22 ((((sK12 @ sK14) & ($true | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13)))))) => (sK12 @ sK13)) = $false) | (~spl0_12 | ~spl0_15)), 21.52/3.22 inference(forward_demodulation,[],[f1639,f709])). 21.52/3.22 thf(f709,plain,( 21.52/3.22 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13))))) | ~spl0_15), 21.52/3.22 inference(avatar_component_clause,[],[f708])). 21.52/3.22 thf(f708,plain,( 21.52/3.22 spl0_15 <=> ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13)))))), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_15])])). 21.52/3.22 thf(f1639,plain,( 21.52/3.22 ((((sK12 @ sK14) & ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13)))))) => (sK12 @ sK13)) = $false) | ~spl0_12), 21.52/3.22 inference(beta_eta_normalization,[],[f1638])). 21.52/3.22 thf(f1638,plain,( 21.52/3.22 (((^[Y0 : a]: (((sK12 @ Y0) & ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK13)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK2 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK13)))))) => (sK12 @ sK13))) @ sK14) = $false) | ~spl0_12), 21.52/3.22 inference(sigma_clausification,[],[f1631])). 21.52/3.22 thf(f1631,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: (((sK12 @ Y0) & ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK13)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK2 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK13)))))) => (sK12 @ sK13)))) = $false) | ~spl0_12), 21.52/3.22 inference(beta_eta_normalization,[],[f1627])). 21.52/3.22 thf(f1627,plain,( 21.52/3.22 ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK12 @ Y1) & ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK2 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))))) => (sK12 @ Y0))))) @ sK13)) | ~spl0_12), 21.52/3.22 inference(sigma_clausification,[],[f420])). 21.52/3.22 thf(f420,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK12 @ Y1) & ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK2 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))))) => (sK12 @ Y0)))))) = $false) | ~spl0_12), 21.52/3.22 inference(avatar_component_clause,[],[f419])). 21.52/3.22 thf(f419,plain,( 21.52/3.22 spl0_12 <=> ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK12 @ Y1) & ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK2 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))))) => (sK12 @ Y0)))))) = $false)), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])). 21.52/3.22 thf(f2114,plain,( 21.52/3.22 spl0_31 | spl0_20 | ~spl0_12 | ~spl0_13 | ~spl0_15), 21.52/3.22 inference(avatar_split_clause,[],[f2108,f708,f633,f419,f917,f2112])). 21.52/3.22 thf(f2108,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: ((sK2 @ sK15 @ Y0) => (sK12 @ Y0)))) = $false) | ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK2 @ Y0 @ Y1) & (sK12 @ Y0)) => (sK12 @ Y1)))))) = $false) | (~spl0_12 | ~spl0_13 | ~spl0_15)), 21.52/3.22 inference(binary_proxy_clausification,[],[f2088])). 21.52/3.22 thf(f2088,plain,( 21.52/3.22 (((!! @ a @ (^[Y0 : a]: ((sK2 @ sK15 @ Y0) => (sK12 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK2 @ Y0 @ Y1) & (sK12 @ Y0)) => (sK12 @ Y1))))))) = $false) | (~spl0_12 | ~spl0_13 | ~spl0_15)), 21.52/3.22 inference(not_proxy_clausification,[],[f1801])). 21.52/3.22 thf(f1801,plain,( 21.52/3.22 ($true = (~ ((!! @ a @ (^[Y0 : a]: ((sK2 @ sK15 @ Y0) => (sK12 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK2 @ Y0 @ Y1) & (sK12 @ Y0)) => (sK12 @ Y1))))))))) | (~spl0_12 | ~spl0_13 | ~spl0_15)), 21.52/3.22 inference(boolean_simplification,[],[f1800])). 21.52/3.22 thf(f1800,plain,( 21.52/3.22 ($true = (((!! @ a @ (^[Y0 : a]: ((sK2 @ sK15 @ Y0) => (sK12 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK2 @ Y0 @ Y1) & (sK12 @ Y0)) => (sK12 @ Y1))))))) => $false)) | (~spl0_12 | ~spl0_13 | ~spl0_15)), 21.52/3.22 inference(superposition,[],[f1789,f1654])). 21.52/3.22 thf(f1789,plain,( 21.52/3.22 ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: ((sK2 @ sK15 @ Y0) => (X1 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK2 @ Y0 @ Y1) & (X1 @ Y0)) => (X1 @ Y1))))))) => (X1 @ sK13)))) ) | ~spl0_13), 21.52/3.22 inference(beta_eta_normalization,[],[f1788])). 21.52/3.22 thf(f1788,plain,( 21.52/3.22 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK15 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13))) @ X1))) ) | ~spl0_13), 21.52/3.22 inference(pi_clausification,[],[f634])). 21.52/3.22 thf(f1684,plain,( 21.52/3.22 ~spl0_1 | ~spl0_12 | ~spl0_15 | ~spl0_17), 21.52/3.22 inference(avatar_contradiction_clause,[],[f1683])). 21.52/3.22 thf(f1683,plain,( 21.52/3.22 $false | (~spl0_1 | ~spl0_12 | ~spl0_15 | ~spl0_17)), 21.52/3.22 inference(trivial_inequality_removal,[],[f1682])). 21.52/3.22 thf(f1682,plain,( 21.52/3.22 ($true = $false) | (~spl0_1 | ~spl0_12 | ~spl0_15 | ~spl0_17)), 21.52/3.22 inference(boolean_simplification,[],[f1681])). 21.52/3.22 thf(f1681,plain,( 21.52/3.22 ((~ $false) = $false) | (~spl0_1 | ~spl0_12 | ~spl0_15 | ~spl0_17)), 21.52/3.22 inference(boolean_simplification,[],[f1680])). 21.52/3.22 thf(f1680,plain,( 21.52/3.22 ((~ ($false & ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK15 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK15 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13))))))) = $false) | (~spl0_1 | ~spl0_12 | ~spl0_15 | ~spl0_17)), 21.52/3.22 inference(forward_demodulation,[],[f1679,f1139])). 21.52/3.22 thf(f1139,plain,( 21.52/3.22 ((sK12 @ sK15) = $false) | (~spl0_1 | ~spl0_17)), 21.52/3.22 inference(not_proxy_clausification,[],[f1130])). 21.52/3.22 thf(f1130,plain,( 21.52/3.22 ($true = (~ (sK12 @ sK15))) | (~spl0_1 | ~spl0_17)), 21.52/3.22 inference(boolean_simplification,[],[f1129])). 21.52/3.22 thf(f1129,plain,( 21.52/3.22 ($true = ((sK12 @ sK15) => $false)) | (~spl0_1 | ~spl0_17)), 21.52/3.22 inference(forward_demodulation,[],[f1128,f1100])). 21.52/3.22 thf(f1100,plain,( 21.52/3.22 ((sK12 @ sK19) = $false) | ~spl0_17), 21.52/3.22 inference(boolean_simplification,[],[f1099])). 21.52/3.22 thf(f1099,plain,( 21.52/3.22 (($true => (sK12 @ sK19)) = $false) | ~spl0_17), 21.52/3.22 inference(backward_demodulation,[],[f974,f1098])). 21.52/3.22 thf(f1098,plain,( 21.52/3.22 ($true = (sK3 @ sK15 @ sK19)) | ~spl0_17), 21.52/3.22 inference(binary_proxy_clausification,[],[f974])). 21.52/3.22 thf(f974,plain,( 21.52/3.22 (((sK3 @ sK15 @ sK19) => (sK12 @ sK19)) = $false) | ~spl0_17), 21.52/3.22 inference(beta_eta_normalization,[],[f972])). 21.52/3.22 thf(f972,plain,( 21.52/3.22 ($false = ((^[Y0 : a]: ((sK3 @ sK15 @ Y0) => (sK12 @ Y0))) @ sK19)) | ~spl0_17), 21.52/3.22 inference(sigma_clausification,[],[f834])). 21.52/3.22 thf(f834,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: ((sK3 @ sK15 @ Y0) => (sK12 @ Y0)))) = $false) | ~spl0_17), 21.52/3.22 inference(avatar_component_clause,[],[f833])). 21.52/3.22 thf(f833,plain,( 21.52/3.22 spl0_17 <=> ((!! @ a @ (^[Y0 : a]: ((sK3 @ sK15 @ Y0) => (sK12 @ Y0)))) = $false)), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_17])])). 21.52/3.22 thf(f1128,plain,( 21.52/3.22 ($true = ((sK12 @ sK15) => (sK12 @ sK19))) | (~spl0_1 | ~spl0_17)), 21.52/3.22 inference(boolean_simplification,[],[f1127])). 21.52/3.22 thf(f1127,plain,( 21.52/3.22 ($true = (($true & (sK12 @ sK15)) => (sK12 @ sK19))) | (~spl0_1 | ~spl0_17)), 21.52/3.22 inference(boolean_simplification,[],[f1126])). 21.52/3.22 thf(f1126,plain,( 21.52/3.22 ($true = ((($true | (sK2 @ sK15 @ sK19)) & (sK12 @ sK15)) => (sK12 @ sK19))) | (~spl0_1 | ~spl0_17)), 21.52/3.22 inference(superposition,[],[f335,f1098])). 21.52/3.22 thf(f1624,plain,( 21.52/3.22 ~spl0_1 | ~spl0_29), 21.52/3.22 inference(avatar_contradiction_clause,[],[f1623])). 21.52/3.22 thf(f1623,plain,( 21.52/3.22 $false | (~spl0_1 | ~spl0_29)), 21.52/3.22 inference(trivial_inequality_removal,[],[f1622])). 21.52/3.22 thf(f1622,plain,( 21.52/3.22 ($true = $false) | (~spl0_1 | ~spl0_29)), 21.52/3.22 inference(boolean_simplification,[],[f1621])). 21.52/3.22 thf(f1621,plain,( 21.52/3.22 ($true = (~ $true)) | (~spl0_1 | ~spl0_29)), 21.52/3.22 inference(boolean_simplification,[],[f1620])). 21.52/3.22 thf(f1620,plain,( 21.52/3.22 ($true = (~ ((sK2 @ sK4 @ sK29) | $true))) | (~spl0_1 | ~spl0_29)), 21.52/3.22 inference(forward_demodulation,[],[f1617,f1602])). 21.52/3.22 thf(f1602,plain,( 21.52/3.22 ((sK3 @ sK4 @ sK29) = $true) | ~spl0_29), 21.52/3.22 inference(binary_proxy_clausification,[],[f1588])). 21.52/3.22 thf(f1588,plain,( 21.52/3.22 (((sK3 @ sK4 @ sK29) => (sK12 @ sK29)) = $false) | ~spl0_29), 21.52/3.22 inference(beta_eta_normalization,[],[f1584])). 21.52/3.22 thf(f1584,plain,( 21.52/3.22 ($false = ((^[Y0 : a]: ((sK3 @ sK4 @ Y0) => (sK12 @ Y0))) @ sK29)) | ~spl0_29), 21.52/3.22 inference(sigma_clausification,[],[f1568])). 21.52/3.22 thf(f1568,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: ((sK3 @ sK4 @ Y0) => (sK12 @ Y0)))) = $false) | ~spl0_29), 21.52/3.22 inference(avatar_component_clause,[],[f1567])). 21.52/3.22 thf(f1567,plain,( 21.52/3.22 spl0_29 <=> ((!! @ a @ (^[Y0 : a]: ((sK3 @ sK4 @ Y0) => (sK12 @ Y0)))) = $false)), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_29])])). 21.52/3.22 thf(f1617,plain,( 21.52/3.22 ($true = (~ ((sK2 @ sK4 @ sK29) | (sK3 @ sK4 @ sK29)))) | (~spl0_1 | ~spl0_29)), 21.52/3.22 inference(boolean_simplification,[],[f1607])). 21.52/3.22 thf(f1607,plain,( 21.52/3.22 ($true = (((sK2 @ sK4 @ sK29) | (sK3 @ sK4 @ sK29)) => $false)) | (~spl0_1 | ~spl0_29)), 21.52/3.22 inference(superposition,[],[f325,f1601])). 21.52/3.22 thf(f1601,plain,( 21.52/3.22 ((sK12 @ sK29) = $false) | ~spl0_29), 21.52/3.22 inference(binary_proxy_clausification,[],[f1588])). 21.52/3.22 thf(f325,plain,( 21.52/3.22 ( ! [X1 : a] : (($true = (((sK2 @ sK4 @ X1) | (sK3 @ sK4 @ X1)) => (sK12 @ X1)))) ) | ~spl0_1), 21.52/3.22 inference(beta_eta_normalization,[],[f324])). 21.52/3.22 thf(f324,plain,( 21.52/3.22 ( ! [X1 : a] : ((((^[Y0 : a]: (((sK2 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK12 @ Y0))) @ X1) = $true)) ) | ~spl0_1), 21.52/3.22 inference(pi_clausification,[],[f317])). 21.52/3.22 thf(f1572,plain,( 21.52/3.22 spl0_29 | spl0_30 | ~spl0_11 | ~spl0_21), 21.52/3.22 inference(avatar_split_clause,[],[f1563,f1103,f416,f1570,f1567])). 21.52/3.22 thf(f416,plain,( 21.52/3.22 spl0_11 <=> ((!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK2 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ Y0))))) => (sK12 @ Y0)))) = $false)), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])). 21.52/3.22 thf(f1103,plain,( 21.52/3.22 spl0_21 <=> ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y2 @ Y1) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK20)))))), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_21])])). 21.52/3.22 thf(f1563,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y1 @ Y0) & (sK12 @ Y1)) => (sK12 @ Y0)))))) = $false) | ((!! @ a @ (^[Y0 : a]: ((sK3 @ sK4 @ Y0) => (sK12 @ Y0)))) = $false) | (~spl0_11 | ~spl0_21)), 21.52/3.22 inference(binary_proxy_clausification,[],[f1548])). 21.52/3.22 thf(f1548,plain,( 21.52/3.22 (((!! @ a @ (^[Y0 : a]: ((sK3 @ sK4 @ Y0) => (sK12 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y1 @ Y0) & (sK12 @ Y1)) => (sK12 @ Y0))))))) = $false) | (~spl0_11 | ~spl0_21)), 21.52/3.22 inference(not_proxy_clausification,[],[f1376])). 21.52/3.22 thf(f1376,plain,( 21.52/3.22 ($true = (~ ((!! @ a @ (^[Y0 : a]: ((sK3 @ sK4 @ Y0) => (sK12 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y1 @ Y0) & (sK12 @ Y1)) => (sK12 @ Y0))))))))) | (~spl0_11 | ~spl0_21)), 21.52/3.22 inference(boolean_simplification,[],[f1368])). 21.52/3.22 thf(f1368,plain,( 21.52/3.22 ($true = (((!! @ a @ (^[Y0 : a]: ((sK3 @ sK4 @ Y0) => (sK12 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y1 @ Y0) & (sK12 @ Y1)) => (sK12 @ Y0))))))) => $false)) | (~spl0_11 | ~spl0_21)), 21.52/3.22 inference(superposition,[],[f1363,f1002])). 21.52/3.22 thf(f1002,plain,( 21.52/3.22 ((sK12 @ sK20) = $false) | ~spl0_11), 21.52/3.22 inference(boolean_simplification,[],[f1001])). 21.52/3.22 thf(f1001,plain,( 21.52/3.22 (($true => (sK12 @ sK20)) = $false) | ~spl0_11), 21.52/3.22 inference(backward_demodulation,[],[f995,f1000])). 21.52/3.22 thf(f1000,plain,( 21.52/3.22 ($true = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK20)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y2 @ Y1) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK20)))))) | ~spl0_11), 21.52/3.22 inference(binary_proxy_clausification,[],[f995])). 21.52/3.22 thf(f995,plain,( 21.52/3.22 ((((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK20)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y2 @ Y1) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK20))))) => (sK12 @ sK20)) = $false) | ~spl0_11), 21.52/3.22 inference(beta_eta_normalization,[],[f989])). 21.52/3.22 thf(f989,plain,( 21.52/3.22 (((^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK2 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ Y0))))) => (sK12 @ Y0))) @ sK20) = $false) | ~spl0_11), 21.52/3.22 inference(sigma_clausification,[],[f417])). 21.52/3.22 thf(f417,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK2 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ Y0))))) => (sK12 @ Y0)))) = $false) | ~spl0_11), 21.52/3.22 inference(avatar_component_clause,[],[f416])). 21.52/3.22 thf(f1363,plain,( 21.52/3.22 ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: ((sK3 @ sK4 @ Y0) => (X1 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y1 @ Y0) & (X1 @ Y1)) => (X1 @ Y0))))))) => (X1 @ sK20)))) ) | ~spl0_21), 21.52/3.22 inference(beta_eta_normalization,[],[f1362])). 21.52/3.22 thf(f1362,plain,( 21.52/3.22 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y2 @ Y1) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK20))) @ X1))) ) | ~spl0_21), 21.52/3.22 inference(pi_clausification,[],[f1104])). 21.52/3.22 thf(f1104,plain,( 21.52/3.22 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y2 @ Y1) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK20))))) | ~spl0_21), 21.52/3.22 inference(avatar_component_clause,[],[f1103])). 21.52/3.22 thf(f1359,plain,( 21.52/3.22 ~spl0_1 | ~spl0_23), 21.52/3.22 inference(avatar_contradiction_clause,[],[f1358])). 21.52/3.22 thf(f1358,plain,( 21.52/3.22 $false | (~spl0_1 | ~spl0_23)), 21.52/3.22 inference(trivial_inequality_removal,[],[f1357])). 21.52/3.22 thf(f1357,plain,( 21.52/3.22 ($true = $false) | (~spl0_1 | ~spl0_23)), 21.52/3.22 inference(boolean_simplification,[],[f1356])). 21.52/3.22 thf(f1356,plain,( 21.52/3.22 ($true = (~ $true)) | (~spl0_1 | ~spl0_23)), 21.52/3.22 inference(boolean_simplification,[],[f1355])). 21.52/3.22 thf(f1355,plain,( 21.52/3.22 ($true = (~ ($true | (sK3 @ sK4 @ sK24)))) | (~spl0_1 | ~spl0_23)), 21.52/3.22 inference(forward_demodulation,[],[f1354,f1325])). 21.52/3.22 thf(f1325,plain,( 21.52/3.22 ($true = (sK2 @ sK4 @ sK24)) | ~spl0_23), 21.52/3.22 inference(binary_proxy_clausification,[],[f1321])). 21.52/3.22 thf(f1321,plain,( 21.52/3.22 (((sK2 @ sK4 @ sK24) => (sK12 @ sK24)) = $false) | ~spl0_23), 21.52/3.22 inference(beta_eta_normalization,[],[f1319])). 21.52/3.22 thf(f1319,plain,( 21.52/3.22 ($false = ((^[Y0 : a]: ((sK2 @ sK4 @ Y0) => (sK12 @ Y0))) @ sK24)) | ~spl0_23), 21.52/3.22 inference(sigma_clausification,[],[f1207])). 21.52/3.22 thf(f1207,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: ((sK2 @ sK4 @ Y0) => (sK12 @ Y0)))) = $false) | ~spl0_23), 21.52/3.22 inference(avatar_component_clause,[],[f1206])). 21.52/3.22 thf(f1206,plain,( 21.52/3.22 spl0_23 <=> ((!! @ a @ (^[Y0 : a]: ((sK2 @ sK4 @ Y0) => (sK12 @ Y0)))) = $false)), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_23])])). 21.52/3.22 thf(f1354,plain,( 21.52/3.22 ($true = (~ ((sK2 @ sK4 @ sK24) | (sK3 @ sK4 @ sK24)))) | (~spl0_1 | ~spl0_23)), 21.52/3.22 inference(boolean_simplification,[],[f1342])). 21.52/3.22 thf(f1342,plain,( 21.52/3.22 ($true = (((sK2 @ sK4 @ sK24) | (sK3 @ sK4 @ sK24)) => $false)) | (~spl0_1 | ~spl0_23)), 21.52/3.22 inference(superposition,[],[f325,f1324])). 21.52/3.22 thf(f1324,plain,( 21.52/3.22 ((sK12 @ sK24) = $false) | ~spl0_23), 21.52/3.22 inference(binary_proxy_clausification,[],[f1321])). 21.52/3.22 thf(f1316,plain,( 21.52/3.22 ~spl0_1 | ~spl0_24), 21.52/3.22 inference(avatar_contradiction_clause,[],[f1315])). 21.52/3.22 thf(f1315,plain,( 21.52/3.22 $false | (~spl0_1 | ~spl0_24)), 21.52/3.22 inference(trivial_inequality_removal,[],[f1314])). 21.52/3.22 thf(f1314,plain,( 21.52/3.22 ($true = $false) | (~spl0_1 | ~spl0_24)), 21.52/3.22 inference(forward_demodulation,[],[f1313,f1248])). 21.52/3.22 thf(f1248,plain,( 21.52/3.22 ((sK12 @ sK21) = $false) | ~spl0_24), 21.52/3.22 inference(binary_proxy_clausification,[],[f1238])). 21.52/3.22 thf(f1238,plain,( 21.52/3.22 ((((sK12 @ sK22) & (sK2 @ sK22 @ sK21)) => (sK12 @ sK21)) = $false) | ~spl0_24), 21.52/3.22 inference(beta_eta_normalization,[],[f1237])). 21.52/3.22 thf(f1237,plain,( 21.52/3.22 (((^[Y0 : a]: (((sK12 @ Y0) & (sK2 @ Y0 @ sK21)) => (sK12 @ sK21))) @ sK22) = $false) | ~spl0_24), 21.52/3.22 inference(sigma_clausification,[],[f1227])). 21.52/3.22 thf(f1227,plain,( 21.52/3.22 ($false = (!! @ a @ (^[Y0 : a]: (((sK12 @ Y0) & (sK2 @ Y0 @ sK21)) => (sK12 @ sK21))))) | ~spl0_24), 21.52/3.22 inference(beta_eta_normalization,[],[f1223])). 21.52/3.22 thf(f1223,plain,( 21.52/3.22 (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK12 @ Y1) & (sK2 @ Y1 @ Y0)) => (sK12 @ Y0))))) @ sK21) = $false) | ~spl0_24), 21.52/3.22 inference(sigma_clausification,[],[f1210])). 21.52/3.22 thf(f1210,plain,( 21.52/3.22 ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK12 @ Y1) & (sK2 @ Y1 @ Y0)) => (sK12 @ Y0))))))) | ~spl0_24), 21.52/3.22 inference(avatar_component_clause,[],[f1209])). 21.52/3.22 thf(f1209,plain,( 21.52/3.22 spl0_24 <=> ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK12 @ Y1) & (sK2 @ Y1 @ Y0)) => (sK12 @ Y0)))))))), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_24])])). 21.52/3.22 thf(f1313,plain,( 21.52/3.22 ((sK12 @ sK21) = $true) | (~spl0_1 | ~spl0_24)), 21.52/3.22 inference(boolean_simplification,[],[f1312])). 21.52/3.22 thf(f1312,plain,( 21.52/3.22 ($true = ($true => (sK12 @ sK21))) | (~spl0_1 | ~spl0_24)), 21.52/3.22 inference(forward_demodulation,[],[f1311,f1293])). 21.52/3.22 thf(f1293,plain,( 21.52/3.22 ($true = (sK12 @ sK23)) | ~spl0_24), 21.52/3.22 inference(boolean_simplification,[],[f1292])). 21.52/3.22 thf(f1292,plain,( 21.52/3.22 ($true = ((sK12 @ sK23) & $true)) | ~spl0_24), 21.52/3.22 inference(backward_demodulation,[],[f1275,f1290])). 21.52/3.22 thf(f1290,plain,( 21.52/3.22 ($true = (sK2 @ sK23 @ sK21)) | ~spl0_24), 21.52/3.22 inference(binary_proxy_clausification,[],[f1275])). 21.52/3.22 thf(f1275,plain,( 21.52/3.22 ($true = ((sK12 @ sK23) & (sK2 @ sK23 @ sK21))) | ~spl0_24), 21.52/3.22 inference(not_proxy_clausification,[],[f1270])). 21.52/3.22 thf(f1270,plain,( 21.52/3.22 ((~ ((sK12 @ sK23) & (sK2 @ sK23 @ sK21))) = $false) | ~spl0_24), 21.52/3.22 inference(beta_eta_normalization,[],[f1269])). 21.52/3.22 thf(f1269,plain,( 21.52/3.22 (((^[Y0 : a]: (~ ((sK12 @ Y0) & (sK2 @ Y0 @ sK21)))) @ sK23) = $false) | ~spl0_24), 21.52/3.22 inference(sigma_clausification,[],[f1253])). 21.52/3.22 thf(f1253,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: (~ ((sK12 @ Y0) & (sK2 @ Y0 @ sK21))))) = $false) | ~spl0_24), 21.52/3.22 inference(boolean_simplification,[],[f1251])). 21.52/3.22 thf(f1251,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: (((sK12 @ Y0) & (sK2 @ Y0 @ sK21)) => $false))) = $false) | ~spl0_24), 21.52/3.22 inference(backward_demodulation,[],[f1227,f1248])). 21.52/3.22 thf(f1311,plain,( 21.52/3.22 ($true = ((sK12 @ sK23) => (sK12 @ sK21))) | (~spl0_1 | ~spl0_24)), 21.52/3.22 inference(boolean_simplification,[],[f1310])). 21.52/3.22 thf(f1310,plain,( 21.52/3.22 ($true = (($true & (sK12 @ sK23)) => (sK12 @ sK21))) | (~spl0_1 | ~spl0_24)), 21.52/3.22 inference(boolean_simplification,[],[f1309])). 21.52/3.22 thf(f1309,plain,( 21.52/3.22 ($true = ((((sK3 @ sK23 @ sK21) | $true) & (sK12 @ sK23)) => (sK12 @ sK21))) | (~spl0_1 | ~spl0_24)), 21.52/3.22 inference(superposition,[],[f335,f1290])). 21.52/3.22 thf(f1211,plain,( 21.52/3.22 spl0_23 | spl0_24 | ~spl0_11 | ~spl0_22), 21.52/3.22 inference(avatar_split_clause,[],[f1202,f1106,f416,f1209,f1206])). 21.52/3.22 thf(f1106,plain,( 21.52/3.22 spl0_22 <=> ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK20)))) = $true)), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_22])])). 21.52/3.22 thf(f1202,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: ((sK2 @ sK4 @ Y0) => (sK12 @ Y0)))) = $false) | ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK12 @ Y1) & (sK2 @ Y1 @ Y0)) => (sK12 @ Y0))))))) | (~spl0_11 | ~spl0_22)), 21.52/3.22 inference(binary_proxy_clausification,[],[f1196])). 21.52/3.22 thf(f1196,plain,( 21.52/3.22 ($false = ((!! @ a @ (^[Y0 : a]: ((sK2 @ sK4 @ Y0) => (sK12 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK12 @ Y1) & (sK2 @ Y1 @ Y0)) => (sK12 @ Y0)))))))) | (~spl0_11 | ~spl0_22)), 21.52/3.22 inference(not_proxy_clausification,[],[f1137])). 21.52/3.22 thf(f1137,plain,( 21.52/3.22 ($true = (~ ((!! @ a @ (^[Y0 : a]: ((sK2 @ sK4 @ Y0) => (sK12 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK12 @ Y1) & (sK2 @ Y1 @ Y0)) => (sK12 @ Y0))))))))) | (~spl0_11 | ~spl0_22)), 21.52/3.22 inference(boolean_simplification,[],[f1132])). 21.52/3.22 thf(f1132,plain,( 21.52/3.22 ($true = (((!! @ a @ (^[Y0 : a]: ((sK2 @ sK4 @ Y0) => (sK12 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK12 @ Y1) & (sK2 @ Y1 @ Y0)) => (sK12 @ Y0))))))) => $false)) | (~spl0_11 | ~spl0_22)), 21.52/3.22 inference(superposition,[],[f1125,f1002])). 21.52/3.22 thf(f1125,plain,( 21.52/3.22 ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: ((sK2 @ sK4 @ Y0) => (X1 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((X1 @ Y1) & (sK2 @ Y1 @ Y0)) => (X1 @ Y0))))))) => (X1 @ sK20)))) ) | ~spl0_22), 21.52/3.22 inference(beta_eta_normalization,[],[f1124])). 21.52/3.22 thf(f1124,plain,( 21.52/3.22 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK20))) @ X1))) ) | ~spl0_22), 21.52/3.22 inference(pi_clausification,[],[f1107])). 21.52/3.22 thf(f1107,plain,( 21.52/3.22 ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK20)))) = $true) | ~spl0_22), 21.52/3.22 inference(avatar_component_clause,[],[f1106])). 21.52/3.22 thf(f1108,plain,( 21.52/3.22 spl0_21 | spl0_22 | ~spl0_11), 21.52/3.22 inference(avatar_split_clause,[],[f1101,f416,f1106,f1103])). 21.52/3.22 thf(f1101,plain,( 21.52/3.22 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y2 @ Y1) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK20))))) | ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK4 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK20)))) = $true) | ~spl0_11), 21.52/3.22 inference(binary_proxy_clausification,[],[f1000])). 21.52/3.22 thf(f984,plain,( 21.52/3.22 ~spl0_1 | ~spl0_12 | ~spl0_19), 21.52/3.22 inference(avatar_contradiction_clause,[],[f983])). 21.52/3.22 thf(f983,plain,( 21.52/3.22 $false | (~spl0_1 | ~spl0_12 | ~spl0_19)), 21.52/3.22 inference(trivial_inequality_removal,[],[f982])). 21.52/3.22 thf(f982,plain,( 21.52/3.22 ($true = $false) | (~spl0_1 | ~spl0_12 | ~spl0_19)), 21.52/3.22 inference(forward_demodulation,[],[f981,f951])). 21.52/3.22 thf(f951,plain,( 21.52/3.22 ((sK12 @ sK18) = $false) | ~spl0_19), 21.52/3.22 inference(binary_proxy_clausification,[],[f938])). 21.52/3.22 thf(f938,plain,( 21.52/3.22 ($false = ((sK2 @ sK14 @ sK18) => (sK12 @ sK18))) | ~spl0_19), 21.52/3.22 inference(beta_eta_normalization,[],[f936])). 21.52/3.22 thf(f936,plain,( 21.52/3.22 (((^[Y0 : a]: ((sK2 @ sK14 @ Y0) => (sK12 @ Y0))) @ sK18) = $false) | ~spl0_19), 21.52/3.22 inference(sigma_clausification,[],[f915])). 21.52/3.22 thf(f915,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: ((sK2 @ sK14 @ Y0) => (sK12 @ Y0)))) = $false) | ~spl0_19), 21.52/3.22 inference(avatar_component_clause,[],[f914])). 21.52/3.22 thf(f914,plain,( 21.52/3.22 spl0_19 <=> ((!! @ a @ (^[Y0 : a]: ((sK2 @ sK14 @ Y0) => (sK12 @ Y0)))) = $false)), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_19])])). 21.52/3.22 thf(f981,plain,( 21.52/3.22 ($true = (sK12 @ sK18)) | (~spl0_1 | ~spl0_12 | ~spl0_19)), 21.52/3.22 inference(boolean_simplification,[],[f980])). 21.52/3.22 thf(f980,plain,( 21.52/3.22 ($true = ($true => (sK12 @ sK18))) | (~spl0_1 | ~spl0_12 | ~spl0_19)), 21.52/3.22 inference(forward_demodulation,[],[f979,f691])). 21.52/3.22 thf(f691,plain,( 21.52/3.22 ($true = (sK12 @ sK14)) | ~spl0_12), 21.52/3.22 inference(binary_proxy_clausification,[],[f463])). 21.52/3.22 thf(f463,plain,( 21.52/3.22 ($true = ((sK12 @ sK14) & ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13))))))) | ~spl0_12), 21.52/3.22 inference(binary_proxy_clausification,[],[f450])). 21.52/3.22 thf(f450,plain,( 21.52/3.22 ((((sK12 @ sK14) & ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13)))))) => (sK12 @ sK13)) = $false) | ~spl0_12), 21.52/3.22 inference(beta_eta_normalization,[],[f449])). 21.52/3.22 thf(f449,plain,( 21.52/3.22 (((^[Y0 : a]: (((sK12 @ Y0) & ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK13)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK2 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK13)))))) => (sK12 @ sK13))) @ sK14) = $false) | ~spl0_12), 21.52/3.22 inference(sigma_clausification,[],[f435])). 21.52/3.22 thf(f435,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: (((sK12 @ Y0) & ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK13)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK2 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK13)))))) => (sK12 @ sK13)))) = $false) | ~spl0_12), 21.52/3.22 inference(beta_eta_normalization,[],[f433])). 21.52/3.22 thf(f433,plain,( 21.52/3.22 ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK12 @ Y1) & ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK2 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))))) => (sK12 @ Y0))))) @ sK13)) | ~spl0_12), 21.52/3.22 inference(sigma_clausification,[],[f420])). 21.52/3.22 thf(f979,plain,( 21.52/3.22 ($true = ((sK12 @ sK14) => (sK12 @ sK18))) | (~spl0_1 | ~spl0_19)), 21.52/3.22 inference(boolean_simplification,[],[f978])). 21.52/3.22 thf(f978,plain,( 21.52/3.22 ($true = (($true & (sK12 @ sK14)) => (sK12 @ sK18))) | (~spl0_1 | ~spl0_19)), 21.52/3.22 inference(boolean_simplification,[],[f977])). 21.52/3.22 thf(f977,plain,( 21.52/3.22 ($true = ((((sK3 @ sK14 @ sK18) | $true) & (sK12 @ sK14)) => (sK12 @ sK18))) | (~spl0_1 | ~spl0_19)), 21.52/3.22 inference(superposition,[],[f335,f952])). 21.52/3.22 thf(f952,plain,( 21.52/3.22 ($true = (sK2 @ sK14 @ sK18)) | ~spl0_19), 21.52/3.22 inference(binary_proxy_clausification,[],[f938])). 21.52/3.22 thf(f948,plain,( 21.52/3.22 ~spl0_1 | ~spl0_18), 21.52/3.22 inference(avatar_contradiction_clause,[],[f947])). 21.52/3.22 thf(f947,plain,( 21.52/3.22 $false | (~spl0_1 | ~spl0_18)), 21.52/3.22 inference(trivial_inequality_removal,[],[f946])). 21.52/3.22 thf(f946,plain,( 21.52/3.22 ($true = $false) | (~spl0_1 | ~spl0_18)), 21.52/3.22 inference(forward_demodulation,[],[f945,f887])). 21.52/3.22 thf(f887,plain,( 21.52/3.22 ((sK12 @ sK17) = $false) | ~spl0_18), 21.52/3.22 inference(boolean_simplification,[],[f886])). 21.52/3.22 thf(f886,plain,( 21.52/3.22 (($true => (sK12 @ sK17)) = $false) | ~spl0_18), 21.52/3.22 inference(backward_demodulation,[],[f872,f885])). 21.52/3.22 thf(f885,plain,( 21.52/3.22 ($true = ((sK3 @ sK16 @ sK17) & (sK12 @ sK16))) | ~spl0_18), 21.52/3.22 inference(binary_proxy_clausification,[],[f872])). 21.52/3.22 thf(f872,plain,( 21.52/3.22 ((((sK3 @ sK16 @ sK17) & (sK12 @ sK16)) => (sK12 @ sK17)) = $false) | ~spl0_18), 21.52/3.22 inference(beta_eta_normalization,[],[f871])). 21.52/3.22 thf(f871,plain,( 21.52/3.22 (((^[Y0 : a]: (((sK3 @ sK16 @ Y0) & (sK12 @ sK16)) => (sK12 @ Y0))) @ sK17) = $false) | ~spl0_18), 21.52/3.22 inference(sigma_clausification,[],[f859])). 21.52/3.22 thf(f859,plain,( 21.52/3.22 ($false = (!! @ a @ (^[Y0 : a]: (((sK3 @ sK16 @ Y0) & (sK12 @ sK16)) => (sK12 @ Y0))))) | ~spl0_18), 21.52/3.22 inference(beta_eta_normalization,[],[f855])). 21.52/3.22 thf(f855,plain,( 21.52/3.22 (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y0 @ Y1) & (sK12 @ Y0)) => (sK12 @ Y1))))) @ sK16) = $false) | ~spl0_18), 21.52/3.22 inference(sigma_clausification,[],[f837])). 21.52/3.22 thf(f837,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y0 @ Y1) & (sK12 @ Y0)) => (sK12 @ Y1)))))) = $false) | ~spl0_18), 21.52/3.22 inference(avatar_component_clause,[],[f836])). 21.52/3.22 thf(f836,plain,( 21.52/3.22 spl0_18 <=> ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y0 @ Y1) & (sK12 @ Y0)) => (sK12 @ Y1)))))) = $false)), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_18])])). 21.52/3.22 thf(f945,plain,( 21.52/3.22 ($true = (sK12 @ sK17)) | (~spl0_1 | ~spl0_18)), 21.52/3.22 inference(boolean_simplification,[],[f944])). 21.52/3.22 thf(f944,plain,( 21.52/3.22 ($true = ($true => (sK12 @ sK17))) | (~spl0_1 | ~spl0_18)), 21.52/3.22 inference(forward_demodulation,[],[f943,f909])). 21.52/3.22 thf(f909,plain,( 21.52/3.22 ($true = (sK12 @ sK16)) | ~spl0_18), 21.52/3.22 inference(boolean_simplification,[],[f908])). 21.52/3.22 thf(f908,plain,( 21.52/3.22 ($true = ($true & (sK12 @ sK16))) | ~spl0_18), 21.52/3.22 inference(backward_demodulation,[],[f885,f907])). 21.52/3.22 thf(f907,plain,( 21.52/3.22 ($true = (sK3 @ sK16 @ sK17)) | ~spl0_18), 21.52/3.22 inference(binary_proxy_clausification,[],[f885])). 21.52/3.22 thf(f943,plain,( 21.52/3.22 ($true = ((sK12 @ sK16) => (sK12 @ sK17))) | (~spl0_1 | ~spl0_18)), 21.52/3.22 inference(boolean_simplification,[],[f942])). 21.52/3.22 thf(f942,plain,( 21.52/3.22 ($true = (($true & (sK12 @ sK16)) => (sK12 @ sK17))) | (~spl0_1 | ~spl0_18)), 21.52/3.22 inference(boolean_simplification,[],[f941])). 21.52/3.22 thf(f941,plain,( 21.52/3.22 ($true = ((($true | (sK2 @ sK16 @ sK17)) & (sK12 @ sK16)) => (sK12 @ sK17))) | (~spl0_1 | ~spl0_18)), 21.52/3.22 inference(superposition,[],[f335,f907])). 21.52/3.22 thf(f919,plain,( 21.52/3.22 spl0_19 | spl0_20 | ~spl0_12 | ~spl0_16), 21.52/3.22 inference(avatar_split_clause,[],[f910,f711,f419,f917,f914])). 21.52/3.22 thf(f711,plain,( 21.52/3.22 spl0_16 <=> ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13)))))), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_16])])). 21.52/3.22 thf(f910,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: ((sK2 @ sK14 @ Y0) => (sK12 @ Y0)))) = $false) | ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK2 @ Y0 @ Y1) & (sK12 @ Y0)) => (sK12 @ Y1)))))) = $false) | (~spl0_12 | ~spl0_16)), 21.52/3.22 inference(binary_proxy_clausification,[],[f903])). 21.52/3.22 thf(f903,plain,( 21.52/3.22 (((!! @ a @ (^[Y0 : a]: ((sK2 @ sK14 @ Y0) => (sK12 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK2 @ Y0 @ Y1) & (sK12 @ Y0)) => (sK12 @ Y1))))))) = $false) | (~spl0_12 | ~spl0_16)), 21.52/3.22 inference(not_proxy_clausification,[],[f753])). 21.52/3.22 thf(f753,plain,( 21.52/3.22 ($true = (~ ((!! @ a @ (^[Y0 : a]: ((sK2 @ sK14 @ Y0) => (sK12 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK2 @ Y0 @ Y1) & (sK12 @ Y0)) => (sK12 @ Y1))))))))) | (~spl0_12 | ~spl0_16)), 21.52/3.22 inference(boolean_simplification,[],[f741])). 21.52/3.22 thf(f741,plain,( 21.52/3.22 ($true = (((!! @ a @ (^[Y0 : a]: ((sK2 @ sK14 @ Y0) => (sK12 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK2 @ Y0 @ Y1) & (sK12 @ Y0)) => (sK12 @ Y1))))))) => $false)) | (~spl0_12 | ~spl0_16)), 21.52/3.22 inference(superposition,[],[f728,f465])). 21.52/3.22 thf(f465,plain,( 21.52/3.22 ((sK12 @ sK13) = $false) | ~spl0_12), 21.52/3.22 inference(boolean_simplification,[],[f464])). 21.52/3.22 thf(f464,plain,( 21.52/3.22 ($false = ($true => (sK12 @ sK13))) | ~spl0_12), 21.52/3.22 inference(backward_demodulation,[],[f450,f463])). 21.52/3.22 thf(f728,plain,( 21.52/3.22 ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: ((sK2 @ sK14 @ Y0) => (X1 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK2 @ Y0 @ Y1) & (X1 @ Y0)) => (X1 @ Y1))))))) => (X1 @ sK13)))) ) | ~spl0_16), 21.52/3.22 inference(beta_eta_normalization,[],[f727])). 21.52/3.22 thf(f727,plain,( 21.52/3.22 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13))) @ X1))) ) | ~spl0_16), 21.52/3.22 inference(pi_clausification,[],[f712])). 21.52/3.22 thf(f712,plain,( 21.52/3.22 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13))))) | ~spl0_16), 21.52/3.22 inference(avatar_component_clause,[],[f711])). 21.52/3.22 thf(f838,plain,( 21.52/3.22 spl0_17 | spl0_18 | ~spl0_12 | ~spl0_14), 21.52/3.22 inference(avatar_split_clause,[],[f829,f636,f419,f836,f833])). 21.52/3.22 thf(f636,plain,( 21.52/3.22 spl0_14 <=> ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK15 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13)))) = $true)), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_14])])). 21.52/3.22 thf(f829,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y0 @ Y1) & (sK12 @ Y0)) => (sK12 @ Y1)))))) = $false) | ((!! @ a @ (^[Y0 : a]: ((sK3 @ sK15 @ Y0) => (sK12 @ Y0)))) = $false) | (~spl0_12 | ~spl0_14)), 21.52/3.22 inference(binary_proxy_clausification,[],[f812])). 21.52/3.22 thf(f812,plain,( 21.52/3.22 (((!! @ a @ (^[Y0 : a]: ((sK3 @ sK15 @ Y0) => (sK12 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y0 @ Y1) & (sK12 @ Y0)) => (sK12 @ Y1))))))) = $false) | (~spl0_12 | ~spl0_14)), 21.52/3.22 inference(not_proxy_clausification,[],[f676])). 21.52/3.22 thf(f676,plain,( 21.52/3.22 ($true = (~ ((!! @ a @ (^[Y0 : a]: ((sK3 @ sK15 @ Y0) => (sK12 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y0 @ Y1) & (sK12 @ Y0)) => (sK12 @ Y1))))))))) | (~spl0_12 | ~spl0_14)), 21.52/3.22 inference(boolean_simplification,[],[f670])). 21.52/3.22 thf(f670,plain,( 21.52/3.22 ($true = (((!! @ a @ (^[Y0 : a]: ((sK3 @ sK15 @ Y0) => (sK12 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y0 @ Y1) & (sK12 @ Y0)) => (sK12 @ Y1))))))) => $false)) | (~spl0_12 | ~spl0_14)), 21.52/3.22 inference(superposition,[],[f655,f465])). 21.52/3.22 thf(f655,plain,( 21.52/3.22 ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: ((sK3 @ sK15 @ Y0) => (X1 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y0 @ Y1) & (X1 @ Y0)) => (X1 @ Y1))))))) => (X1 @ sK13)))) ) | ~spl0_14), 21.52/3.22 inference(beta_eta_normalization,[],[f654])). 21.52/3.22 thf(f654,plain,( 21.52/3.22 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK15 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13))) @ X1))) ) | ~spl0_14), 21.52/3.22 inference(pi_clausification,[],[f637])). 21.52/3.22 thf(f637,plain,( 21.52/3.22 ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK15 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13)))) = $true) | ~spl0_14), 21.52/3.22 inference(avatar_component_clause,[],[f636])). 21.52/3.22 thf(f713,plain,( 21.52/3.22 spl0_15 | spl0_16 | ~spl0_12), 21.52/3.22 inference(avatar_split_clause,[],[f706,f419,f711,f708])). 21.52/3.22 thf(f706,plain,( 21.52/3.22 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13))))) | ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13))))) | ~spl0_12), 21.52/3.22 inference(binary_proxy_clausification,[],[f693])). 21.52/3.22 thf(f693,plain,( 21.52/3.22 ($true = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13)))))) | ~spl0_12), 21.52/3.22 inference(boolean_simplification,[],[f692])). 21.52/3.22 thf(f692,plain,( 21.52/3.22 ($true = ($true & ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13))))))) | ~spl0_12), 21.52/3.22 inference(backward_demodulation,[],[f463,f691])). 21.52/3.22 thf(f638,plain,( 21.52/3.22 spl0_13 | spl0_14 | ~spl0_12), 21.52/3.22 inference(avatar_split_clause,[],[f631,f419,f636,f633])). 21.52/3.22 thf(f631,plain,( 21.52/3.22 ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK15 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13)))) = $true) | ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK15 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13))))) | ~spl0_12), 21.52/3.22 inference(binary_proxy_clausification,[],[f491])). 21.52/3.22 thf(f491,plain,( 21.52/3.22 ($true = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK15 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK15 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13)))))) | ~spl0_12), 21.52/3.22 inference(binary_proxy_clausification,[],[f482])). 21.52/3.22 thf(f482,plain,( 21.52/3.22 ($true = ((sK12 @ sK15) & ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK15 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK15 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13))))))) | ~spl0_12), 21.52/3.22 inference(not_proxy_clausification,[],[f478])). 21.52/3.22 thf(f478,plain,( 21.52/3.22 ($false = (~ ((sK12 @ sK15) & ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK15 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK15 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK13)))))))) | ~spl0_12), 21.52/3.22 inference(beta_eta_normalization,[],[f477])). 21.52/3.22 thf(f477,plain,( 21.52/3.22 (((^[Y0 : a]: (~ ((sK12 @ Y0) & ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK13)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK2 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK13)))))))) @ sK15) = $false) | ~spl0_12), 21.52/3.22 inference(sigma_clausification,[],[f467])). 21.52/3.22 thf(f467,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: (~ ((sK12 @ Y0) & ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK13)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK2 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK13))))))))) = $false) | ~spl0_12), 21.52/3.22 inference(boolean_simplification,[],[f466])). 21.52/3.22 thf(f466,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: (((sK12 @ Y0) & ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK13)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK2 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK13)))))) => $false))) = $false) | ~spl0_12), 21.52/3.22 inference(backward_demodulation,[],[f435,f465])). 21.52/3.22 thf(f421,plain,( 21.52/3.22 spl0_11 | spl0_12 | ~spl0_1 | ~spl0_4), 21.52/3.22 inference(avatar_split_clause,[],[f412,f32,f22,f419,f416])). 21.52/3.22 thf(f412,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK2 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ Y0))))) => (sK12 @ Y0)))) = $false) | ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK12 @ Y1) & ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK2 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))))) => (sK12 @ Y0)))))) = $false) | (~spl0_1 | ~spl0_4)), 21.52/3.22 inference(binary_proxy_clausification,[],[f394])). 21.52/3.22 thf(f394,plain,( 21.52/3.22 ($false = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK12 @ Y1) & ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK2 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))))) => (sK12 @ Y0)))))) & (!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK2 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ Y0))))) => (sK12 @ Y0)))))) | (~spl0_1 | ~spl0_4)), 21.52/3.22 inference(not_proxy_clausification,[],[f323])). 21.52/3.22 thf(f323,plain,( 21.52/3.22 ($true = (~ ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK12 @ Y1) & ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK2 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))))) => (sK12 @ Y0)))))) & (!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK2 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ Y0))))) => (sK12 @ Y0))))))) | (~spl0_1 | ~spl0_4)), 21.52/3.22 inference(boolean_simplification,[],[f322])). 21.52/3.22 thf(f322,plain,( 21.52/3.22 ($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK12 @ Y1) & ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK2 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))))) => (sK12 @ Y0)))))) & (!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK2 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ Y0))))) => (sK12 @ Y0))))) => $false)) | (~spl0_1 | ~spl0_4)), 21.52/3.22 inference(superposition,[],[f316,f309])). 21.52/3.22 thf(f309,plain,( 21.52/3.22 ((sK12 @ sK5) = $false) | ~spl0_1), 21.52/3.22 inference(binary_proxy_clausification,[],[f308])). 21.52/3.22 thf(f316,plain,( 21.52/3.22 ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((X1 @ Y1) & ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK2 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))))) => (X1 @ Y0)))))) & (!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK2 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ Y0))))) => (X1 @ Y0))))) => (X1 @ sK5)))) ) | ~spl0_4), 21.52/3.22 inference(beta_eta_normalization,[],[f315])). 21.52/3.22 thf(f315,plain,( 21.52/3.22 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK3 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK3 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y1)))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK2 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK2 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y1)))))) => (Y0 @ Y1)))))) & (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ sK4 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ sK4 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y4 @ Y3) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y1))))) => (Y0 @ Y1))))) => (Y0 @ sK5))) @ X1))) ) | ~spl0_4), 21.52/3.22 inference(pi_clausification,[],[f33])). 21.52/3.22 thf(f94,plain,( 21.52/3.22 spl0_7 | spl0_8 | ~spl0_5), 21.52/3.22 inference(avatar_split_clause,[],[f87,f55,f92,f89])). 21.52/3.22 thf(f87,plain,( 21.52/3.22 ($true = (sK3 @ sK4 @ sK7)) | ($true = (sK2 @ sK4 @ sK7)) | ~spl0_5), 21.52/3.22 inference(binary_proxy_clausification,[],[f75])). 21.52/3.22 thf(f63,plain,( 21.52/3.22 ~spl0_1 | ~spl0_3), 21.52/3.22 inference(avatar_contradiction_clause,[],[f62])). 21.52/3.22 thf(f62,plain,( 21.52/3.22 $false | (~spl0_1 | ~spl0_3)), 21.52/3.22 inference(trivial_inequality_removal,[],[f61])). 21.52/3.22 thf(f61,plain,( 21.52/3.22 ($true = $false) | (~spl0_1 | ~spl0_3)), 21.52/3.22 inference(backward_demodulation,[],[f30,f23])). 21.52/3.22 thf(f30,plain,( 21.52/3.22 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK5))))) | ~spl0_3), 21.52/3.22 inference(avatar_component_clause,[],[f29])). 21.52/3.22 thf(f29,plain,( 21.52/3.22 spl0_3 <=> ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK5)))))), 21.52/3.22 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])). 21.52/3.22 thf(f60,plain,( 21.52/3.22 spl0_5 | spl0_6 | ~spl0_2 | ~spl0_3), 21.52/3.22 inference(avatar_split_clause,[],[f51,f29,f25,f58,f55])). 21.52/3.22 thf(f51,plain,( 21.52/3.22 ((!! @ a @ (^[Y0 : a]: (((sK2 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK6 @ Y0)))) = $false) | ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK6 @ Y0)) => (sK6 @ Y1)))))) = $false) | (~spl0_2 | ~spl0_3)), 21.52/3.22 inference(binary_proxy_clausification,[],[f48])). 21.52/3.22 thf(f48,plain,( 21.52/3.22 (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK6 @ Y0)) => (sK6 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK2 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK6 @ Y0))))) = $false) | (~spl0_2 | ~spl0_3)), 21.52/3.22 inference(not_proxy_clausification,[],[f47])). 21.52/3.22 thf(f47,plain,( 21.52/3.22 ($true = (~ ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK6 @ Y0)) => (sK6 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK2 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK6 @ Y0))))))) | (~spl0_2 | ~spl0_3)), 21.52/3.22 inference(boolean_simplification,[],[f46])). 21.52/3.22 thf(f46,plain,( 21.52/3.22 ((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK6 @ Y0)) => (sK6 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK2 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK6 @ Y0))))) => $false) = $true) | (~spl0_2 | ~spl0_3)), 21.52/3.22 inference(superposition,[],[f38,f45])). 21.52/3.22 thf(f45,plain,( 21.52/3.22 ((sK6 @ sK5) = $false) | ~spl0_2), 21.52/3.22 inference(boolean_simplification,[],[f44])). 21.52/3.22 thf(f44,plain,( 21.52/3.22 (($true => (sK6 @ sK5)) = $false) | ~spl0_2), 21.52/3.22 inference(backward_demodulation,[],[f41,f43])). 21.52/3.22 thf(f43,plain,( 21.52/3.22 ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y1) & ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK2 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))))) => (sK6 @ Y0)))))) & (!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK2 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ Y0))))) => (sK6 @ Y0)))))) | ~spl0_2), 21.52/3.22 inference(binary_proxy_clausification,[],[f41])). 21.52/3.22 thf(f41,plain,( 21.52/3.22 ($false = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y1) & ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK2 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))))) => (sK6 @ Y0)))))) & (!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK2 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ sK4 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ Y0))))) => (sK6 @ Y0))))) => (sK6 @ sK5))) | ~spl0_2), 21.52/3.22 inference(beta_eta_normalization,[],[f40])). 21.52/3.22 thf(f40,plain,( 21.52/3.22 (((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK3 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK3 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y1)))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK2 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK2 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y1)))))) => (Y0 @ Y1)))))) & (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ sK4 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ sK4 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y4 @ Y3) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y1))))) => (Y0 @ Y1))))) => (Y0 @ sK5))) @ sK6) = $false) | ~spl0_2), 21.52/3.22 inference(sigma_clausification,[],[f26])). 21.52/3.22 thf(f38,plain,( 21.52/3.22 ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (X1 @ Y0)) => (X1 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK2 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (X1 @ Y0))))) => (X1 @ sK5)))) ) | ~spl0_3), 21.52/3.22 inference(beta_eta_normalization,[],[f37])). 21.52/3.22 thf(f37,plain,( 21.52/3.22 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK5))) @ X1))) ) | ~spl0_3), 21.52/3.22 inference(pi_clausification,[],[f30])). 21.52/3.22 thf(f34,plain,( 21.52/3.22 spl0_3 | spl0_4), 21.52/3.22 inference(avatar_split_clause,[],[f19,f32,f29])). 21.52/3.22 thf(f19,plain,( 21.52/3.22 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK3 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK3 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y1)))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK2 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK2 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y1)))))) => (Y0 @ Y1)))))) & (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ sK4 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ sK4 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y4 @ Y3) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y1))))) => (Y0 @ Y1))))) => (Y0 @ sK5))))) | ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK5)))))), 21.52/3.22 inference(binary_proxy_clausification,[],[f18])). 21.52/3.22 thf(f18,plain,( 21.52/3.22 ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK5)))) != (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK3 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK3 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y1)))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK2 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK2 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y1)))))) => (Y0 @ Y1)))))) & (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ sK4 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ sK4 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y4 @ Y3) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y1))))) => (Y0 @ Y1))))) => (Y0 @ sK5)))))), 21.52/3.22 inference(beta_eta_normalization,[],[f17])). 21.52/3.22 thf(f17,plain,( 21.52/3.22 (((^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK3 @ Y2 @ Y3) | (sK2 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK2 @ sK4 @ Y2) | (sK3 @ sK4 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ Y0))))) @ sK5) != ((^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & ((!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: ((sK3 @ Y3 @ Y5) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((sK3 @ Y5 @ Y6) & (Y4 @ Y5)) => (Y4 @ Y6))))))) => (Y4 @ Y2)))) | (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: ((sK2 @ Y3 @ Y5) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((sK2 @ Y5 @ Y6) & (Y4 @ Y5)) => (Y4 @ Y6))))))) => (Y4 @ Y2)))))) => (Y1 @ Y2)))))) & (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK2 @ sK4 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y5) & (sK2 @ Y5 @ Y4)) => (Y3 @ Y4))))))) => (Y3 @ Y2)))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK3 @ sK4 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK3 @ Y5 @ Y4) & (Y3 @ Y5)) => (Y3 @ Y4))))))) => (Y3 @ Y2))))) => (Y1 @ Y2))))) => (Y1 @ Y0))))) @ sK5))), 21.52/3.22 inference(negative_extensionality,[],[f16])). 21.52/3.22 thf(f16,plain,( 21.52/3.22 ((^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & ((!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: ((sK3 @ Y3 @ Y5) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((sK3 @ Y5 @ Y6) & (Y4 @ Y5)) => (Y4 @ Y6))))))) => (Y4 @ Y2)))) | (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: ((sK2 @ Y3 @ Y5) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((sK2 @ Y5 @ Y6) & (Y4 @ Y5)) => (Y4 @ Y6))))))) => (Y4 @ Y2)))))) => (Y1 @ Y2)))))) & (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK2 @ sK4 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y5) & (sK2 @ Y5 @ Y4)) => (Y3 @ Y4))))))) => (Y3 @ Y2)))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK3 @ sK4 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK3 @ Y5 @ Y4) & (Y3 @ Y5)) => (Y3 @ Y4))))))) => (Y3 @ Y2))))) => (Y1 @ Y2))))) => (Y1 @ Y0))))) != (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK3 @ Y2 @ Y3) | (sK2 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK2 @ sK4 @ Y2) | (sK3 @ sK4 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ Y0))))))), 21.52/3.22 inference(beta_eta_normalization,[],[f15])). 21.52/3.22 thf(f15,plain,( 21.52/3.22 (((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK3 @ Y3 @ Y4) | (sK2 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK2 @ Y0 @ Y3) | (sK3 @ Y0 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y1))))))) @ sK4) != ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & ((!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: ((sK3 @ Y4 @ Y6) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((sK3 @ Y6 @ Y7) & (Y5 @ Y6)) => (Y5 @ Y7))))))) => (Y5 @ Y3)))) | (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: ((sK2 @ Y4 @ Y6) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((sK2 @ Y6 @ Y7) & (Y5 @ Y6)) => (Y5 @ Y7))))))) => (Y5 @ Y3)))))) => (Y2 @ Y3)))))) & (!! @ a @ (^[Y3 : a]: (((!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: ((sK2 @ Y0 @ Y5) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y6) & (sK2 @ Y6 @ Y5)) => (Y4 @ Y5))))))) => (Y4 @ Y3)))) | (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: ((sK3 @ Y0 @ Y5) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((sK3 @ Y6 @ Y5) & (Y4 @ Y6)) => (Y4 @ Y5))))))) => (Y4 @ Y3))))) => (Y2 @ Y3))))) => (Y2 @ Y1))))))) @ sK4))), 21.52/3.22 inference(negative_extensionality,[],[f14])). 21.52/3.22 thf(f14,plain,( 21.52/3.22 ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK3 @ Y3 @ Y4) | (sK2 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK2 @ Y0 @ Y3) | (sK3 @ Y0 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y1))))))) != (^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & ((!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: ((sK3 @ Y4 @ Y6) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((sK3 @ Y6 @ Y7) & (Y5 @ Y6)) => (Y5 @ Y7))))))) => (Y5 @ Y3)))) | (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: ((sK2 @ Y4 @ Y6) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((sK2 @ Y6 @ Y7) & (Y5 @ Y6)) => (Y5 @ Y7))))))) => (Y5 @ Y3)))))) => (Y2 @ Y3)))))) & (!! @ a @ (^[Y3 : a]: (((!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: ((sK2 @ Y0 @ Y5) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y6) & (sK2 @ Y6 @ Y5)) => (Y4 @ Y5))))))) => (Y4 @ Y3)))) | (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: ((sK3 @ Y0 @ Y5) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((sK3 @ Y6 @ Y5) & (Y4 @ Y6)) => (Y4 @ Y5))))))) => (Y4 @ Y3))))) => (Y2 @ Y3))))) => (Y2 @ Y1))))))))), 21.52/3.22 inference(equality_proxy_clausification,[],[f13])). 21.52/3.22 thf(f13,plain,( 21.52/3.22 (((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & ((!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: ((sK3 @ Y4 @ Y6) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((sK3 @ Y6 @ Y7) & (Y5 @ Y6)) => (Y5 @ Y7))))))) => (Y5 @ Y3)))) | (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: ((sK2 @ Y4 @ Y6) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((sK2 @ Y6 @ Y7) & (Y5 @ Y6)) => (Y5 @ Y7))))))) => (Y5 @ Y3)))))) => (Y2 @ Y3)))))) & (!! @ a @ (^[Y3 : a]: (((!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: ((sK2 @ Y0 @ Y5) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y6) & (sK2 @ Y6 @ Y5)) => (Y4 @ Y5))))))) => (Y4 @ Y3)))) | (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: ((sK3 @ Y0 @ Y5) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((sK3 @ Y6 @ Y5) & (Y4 @ Y6)) => (Y4 @ Y5))))))) => (Y4 @ Y3))))) => (Y2 @ Y3))))) => (Y2 @ Y1))))))) = (^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK3 @ Y3 @ Y4) | (sK2 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK2 @ Y0 @ Y3) | (sK3 @ Y0 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y1)))))))) = $false)), 21.52/3.22 inference(beta_eta_normalization,[],[f12])). 21.52/3.22 thf(f12,plain,( 21.52/3.22 (((^[Y0 : a > a > $o]: ((^[Y1 : a]: ((^[Y2 : a]: (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y5) & ((!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y0 @ Y5 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y0 @ Y7 @ Y8) & (Y6 @ Y7)) => (Y6 @ Y8))))))) => (Y6 @ Y4)))) | (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((sK2 @ Y5 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((sK2 @ Y7 @ Y8) & (Y6 @ Y7)) => (Y6 @ Y8))))))) => (Y6 @ Y4)))))) => (Y3 @ Y4)))))) & (!! @ a @ (^[Y4 : a]: (((!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: ((sK2 @ Y1 @ Y6) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y5 @ Y7) & (sK2 @ Y7 @ Y6)) => (Y5 @ Y6))))))) => (Y5 @ Y4)))) | (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: ((Y0 @ Y1 @ Y6) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y0 @ Y7 @ Y6) & (Y5 @ Y7)) => (Y5 @ Y6))))))) => (Y5 @ Y4))))) => (Y3 @ Y4))))) => (Y3 @ Y2))))))) = (^[Y1 : a]: ((^[Y2 : a]: (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((Y0 @ Y4 @ Y5) | (sK2 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK2 @ Y1 @ Y4) | (Y0 @ Y1 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2))))))))) @ sK3) = $false)), 21.52/3.22 inference(sigma_clausification,[],[f11])). 21.52/3.22 thf(f11,plain,( 21.52/3.22 ((!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: ((^[Y1 : a]: ((^[Y2 : a]: (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y5) & ((!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y0 @ Y5 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y0 @ Y7 @ Y8) & (Y6 @ Y7)) => (Y6 @ Y8))))))) => (Y6 @ Y4)))) | (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((sK2 @ Y5 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((sK2 @ Y7 @ Y8) & (Y6 @ Y7)) => (Y6 @ Y8))))))) => (Y6 @ Y4)))))) => (Y3 @ Y4)))))) & (!! @ a @ (^[Y4 : a]: (((!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: ((sK2 @ Y1 @ Y6) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y5 @ Y7) & (sK2 @ Y7 @ Y6)) => (Y5 @ Y6))))))) => (Y5 @ Y4)))) | (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: ((Y0 @ Y1 @ Y6) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y0 @ Y7 @ Y6) & (Y5 @ Y7)) => (Y5 @ Y6))))))) => (Y5 @ Y4))))) => (Y3 @ Y4))))) => (Y3 @ Y2))))))) = (^[Y1 : a]: ((^[Y2 : a]: (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((Y0 @ Y4 @ Y5) | (sK2 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK2 @ Y1 @ Y4) | (Y0 @ Y1 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2)))))))))) = $false)), 21.52/3.22 inference(beta_eta_normalization,[],[f10])). 21.52/3.22 thf(f10,plain,( 21.52/3.22 (((^[Y0 : a > a > $o]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: ((^[Y2 : a]: ((^[Y3 : a]: (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y6) & ((!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: ((Y1 @ Y6 @ Y8) => (Y7 @ Y8)))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y1 @ Y8 @ Y9) & (Y7 @ Y8)) => (Y7 @ Y9))))))) => (Y7 @ Y5)))) | (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: ((Y0 @ Y6 @ Y8) => (Y7 @ Y8)))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y0 @ Y8 @ Y9) & (Y7 @ Y8)) => (Y7 @ Y9))))))) => (Y7 @ Y5)))))) => (Y4 @ Y5)))))) & (!! @ a @ (^[Y5 : a]: (((!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y0 @ Y2 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y8) & (Y0 @ Y8 @ Y7)) => (Y6 @ Y7))))))) => (Y6 @ Y5)))) | (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y1 @ Y2 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y1 @ Y8 @ Y7) & (Y6 @ Y8)) => (Y6 @ Y7))))))) => (Y6 @ Y5))))) => (Y4 @ Y5))))) => (Y4 @ Y3))))))) = (^[Y2 : a]: ((^[Y3 : a]: (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y1 @ Y5 @ Y6) | (Y0 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((Y0 @ Y2 @ Y5) | (Y1 @ Y2 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y3))))))))))) @ sK2) = $false)), 21.52/3.22 inference(sigma_clausification,[],[f7])). 21.52/3.22 thf(f7,plain,( 21.52/3.22 ($false = (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: ((^[Y2 : a]: ((^[Y3 : a]: (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y6) & ((!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: ((Y1 @ Y6 @ Y8) => (Y7 @ Y8)))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y1 @ Y8 @ Y9) & (Y7 @ Y8)) => (Y7 @ Y9))))))) => (Y7 @ Y5)))) | (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: ((Y0 @ Y6 @ Y8) => (Y7 @ Y8)))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y0 @ Y8 @ Y9) & (Y7 @ Y8)) => (Y7 @ Y9))))))) => (Y7 @ Y5)))))) => (Y4 @ Y5)))))) & (!! @ a @ (^[Y5 : a]: (((!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y0 @ Y2 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y8) & (Y0 @ Y8 @ Y7)) => (Y6 @ Y7))))))) => (Y6 @ Y5)))) | (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y1 @ Y2 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y1 @ Y8 @ Y7) & (Y6 @ Y8)) => (Y6 @ Y7))))))) => (Y6 @ Y5))))) => (Y4 @ Y5))))) => (Y4 @ Y3))))))) = (^[Y2 : a]: ((^[Y3 : a]: (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y1 @ Y5 @ Y6) | (Y0 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((Y0 @ Y2 @ Y5) | (Y1 @ Y2 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y3)))))))))))))), 21.52/3.22 inference(not_proxy_clausification,[],[f6])). 21.52/3.22 thf(f6,plain,( 21.52/3.22 ($true = (~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: ((^[Y2 : a]: ((^[Y3 : a]: (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y6) & ((!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: ((Y1 @ Y6 @ Y8) => (Y7 @ Y8)))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y1 @ Y8 @ Y9) & (Y7 @ Y8)) => (Y7 @ Y9))))))) => (Y7 @ Y5)))) | (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: ((Y0 @ Y6 @ Y8) => (Y7 @ Y8)))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y0 @ Y8 @ Y9) & (Y7 @ Y8)) => (Y7 @ Y9))))))) => (Y7 @ Y5)))))) => (Y4 @ Y5)))))) & (!! @ a @ (^[Y5 : a]: (((!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y0 @ Y2 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y8) & (Y0 @ Y8 @ Y7)) => (Y6 @ Y7))))))) => (Y6 @ Y5)))) | (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y1 @ Y2 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y1 @ Y8 @ Y7) & (Y6 @ Y8)) => (Y6 @ Y7))))))) => (Y6 @ Y5))))) => (Y4 @ Y5))))) => (Y4 @ Y3))))))) = (^[Y2 : a]: ((^[Y3 : a]: (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y1 @ Y5 @ Y6) | (Y0 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((Y0 @ Y2 @ Y5) | (Y1 @ Y2 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y3))))))))))))))), 21.52/3.22 inference(cnf_transformation,[],[f5])). 21.52/3.22 thf(f5,plain,( 21.52/3.22 ($true = (~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: ((^[Y2 : a]: ((^[Y3 : a]: (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y6) & ((!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: ((Y1 @ Y6 @ Y8) => (Y7 @ Y8)))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y1 @ Y8 @ Y9) & (Y7 @ Y8)) => (Y7 @ Y9))))))) => (Y7 @ Y5)))) | (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: ((Y0 @ Y6 @ Y8) => (Y7 @ Y8)))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y0 @ Y8 @ Y9) & (Y7 @ Y8)) => (Y7 @ Y9))))))) => (Y7 @ Y5)))))) => (Y4 @ Y5)))))) & (!! @ a @ (^[Y5 : a]: (((!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y0 @ Y2 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y8) & (Y0 @ Y8 @ Y7)) => (Y6 @ Y7))))))) => (Y6 @ Y5)))) | (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y1 @ Y2 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y1 @ Y8 @ Y7) & (Y6 @ Y8)) => (Y6 @ Y7))))))) => (Y6 @ Y5))))) => (Y4 @ Y5))))) => (Y4 @ Y3))))))) = (^[Y2 : a]: ((^[Y3 : a]: (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y1 @ Y5 @ Y6) | (Y0 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((Y0 @ Y2 @ Y5) | (Y1 @ Y2 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y3))))))))))))))), 21.52/3.22 inference(fool_elimination,[],[f4])). 21.52/3.22 thf(f4,plain,( 21.52/3.22 ~! [X0 : a > a > $o,X1 : a > a > $o] : ((^[X2 : a, X3 : a] : (! [X4 : a > $o] : ((! [X5 : a] : ((! [X6 : a > $o] : ((! [X7 : a,X8 : a] : (((X6 @ X7) & (X0 @ X7 @ X8)) => (X6 @ X8)) & ! [X9 : a] : ((X0 @ X2 @ X9) => (X6 @ X9))) => (X6 @ X5)) | ! [X10 : a > $o] : ((! [X11 : a,X12 : a] : (((X1 @ X11 @ X12) & (X10 @ X11)) => (X10 @ X12)) & ! [X13 : a] : ((X1 @ X2 @ X13) => (X10 @ X13))) => (X10 @ X5))) => (X4 @ X5)) & ! [X14 : a,X15 : a] : (((! [X16 : a > $o] : ((! [X17 : a,X18 : a] : (((X16 @ X18) & (X1 @ X18 @ X17)) => (X16 @ X17)) & ! [X19 : a] : ((X1 @ X14 @ X19) => (X16 @ X19))) => (X16 @ X15)) | ! [X20 : a > $o] : ((! [X21 : a,X22 : a] : (((X20 @ X22) & (X0 @ X22 @ X21)) => (X20 @ X21)) & ! [X23 : a] : ((X0 @ X14 @ X23) => (X20 @ X23))) => (X20 @ X15))) & (X4 @ X14)) => (X4 @ X15))) => (X4 @ X3)))) = (^[X24 : a, X25 : a] : (! [X26 : a > $o] : ((! [X27 : a] : (((X0 @ X24 @ X27) | (X1 @ X24 @ X27)) => (X26 @ X27)) & ! [X28 : a,X29 : a] : (((X26 @ X29) & ((X1 @ X29 @ X28) | (X0 @ X29 @ X28))) => (X26 @ X28))) => (X26 @ X25)))))), 21.52/3.22 inference(rectify,[],[f2])). 21.52/3.22 thf(f2,negated_conjecture,( 21.52/3.22 ~! [X0 : a > a > $o,X1 : a > a > $o] : ((^[X2 : a, X3 : a] : (! [X4 : a > $o] : ((! [X5 : a] : ((! [X8 : a > $o] : ((! [X6 : a,X7 : a] : (((X8 @ X6) & (X0 @ X6 @ X7)) => (X8 @ X7)) & ! [X9 : a] : ((X0 @ X2 @ X9) => (X8 @ X9))) => (X8 @ X5)) | ! [X8 : a > $o] : ((! [X6 : a,X7 : a] : (((X1 @ X6 @ X7) & (X8 @ X6)) => (X8 @ X7)) & ! [X9 : a] : ((X1 @ X2 @ X9) => (X8 @ X9))) => (X8 @ X5))) => (X4 @ X5)) & ! [X6 : a,X7 : a] : (((! [X8 : a > $o] : ((! [X11 : a,X10 : a] : (((X8 @ X10) & (X1 @ X10 @ X11)) => (X8 @ X11)) & ! [X5 : a] : ((X1 @ X6 @ X5) => (X8 @ X5))) => (X8 @ X7)) | ! [X8 : a > $o] : ((! [X11 : a,X10 : a] : (((X8 @ X10) & (X0 @ X10 @ X11)) => (X8 @ X11)) & ! [X5 : a] : ((X0 @ X6 @ X5) => (X8 @ X5))) => (X8 @ X7))) & (X4 @ X6)) => (X4 @ X7))) => (X4 @ X3)))) = (^[X2 : a, X3 : a] : (! [X4 : a > $o] : ((! [X5 : a] : (((X0 @ X2 @ X5) | (X1 @ X2 @ X5)) => (X4 @ X5)) & ! [X7 : a,X6 : a] : (((X4 @ X6) & ((X1 @ X6 @ X7) | (X0 @ X6 @ X7))) => (X4 @ X7))) => (X4 @ X3)))))), 21.52/3.22 inference(negated_conjecture,[],[f1])). 21.52/3.22 thf(f1,conjecture,( 21.52/3.22 ! [X0 : a > a > $o,X1 : a > a > $o] : ((^[X2 : a, X3 : a] : (! [X4 : a > $o] : ((! [X5 : a] : ((! [X8 : a > $o] : ((! [X6 : a,X7 : a] : (((X8 @ X6) & (X0 @ X6 @ X7)) => (X8 @ X7)) & ! [X9 : a] : ((X0 @ X2 @ X9) => (X8 @ X9))) => (X8 @ X5)) | ! [X8 : a > $o] : ((! [X6 : a,X7 : a] : (((X1 @ X6 @ X7) & (X8 @ X6)) => (X8 @ X7)) & ! [X9 : a] : ((X1 @ X2 @ X9) => (X8 @ X9))) => (X8 @ X5))) => (X4 @ X5)) & ! [X6 : a,X7 : a] : (((! [X8 : a > $o] : ((! [X11 : a,X10 : a] : (((X8 @ X10) & (X1 @ X10 @ X11)) => (X8 @ X11)) & ! [X5 : a] : ((X1 @ X6 @ X5) => (X8 @ X5))) => (X8 @ X7)) | ! [X8 : a > $o] : ((! [X11 : a,X10 : a] : (((X8 @ X10) & (X0 @ X10 @ X11)) => (X8 @ X11)) & ! [X5 : a] : ((X0 @ X6 @ X5) => (X8 @ X5))) => (X8 @ X7))) & (X4 @ X6)) => (X4 @ X7))) => (X4 @ X3)))) = (^[X2 : a, X3 : a] : (! [X4 : a > $o] : ((! [X5 : a] : (((X0 @ X2 @ X5) | (X1 @ X2 @ X5)) => (X4 @ X5)) & ! [X7 : a,X6 : a] : (((X4 @ X6) & ((X1 @ X6 @ X7) | (X0 @ X6 @ X7))) => (X4 @ X7))) => (X4 @ X3)))))), 21.52/3.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM251A_pme)). 21.52/3.22 thf(f27,plain,( 21.52/3.22 spl0_1 | spl0_2), 21.52/3.22 inference(avatar_split_clause,[],[f20,f25,f22])). 21.52/3.22 thf(f20,plain,( 21.52/3.22 ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK5)))) = $false) | ($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK3 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK3 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y1)))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK2 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK2 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y1)))))) => (Y0 @ Y1)))))) & (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ sK4 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ sK4 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y4 @ Y3) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y1))))) => (Y0 @ Y1))))) => (Y0 @ sK5)))))), 21.52/3.22 inference(binary_proxy_clausification,[],[f18])). 21.52/3.22 % SZS output end Proof for theBenchmark 21.52/3.22 % (27303)------------------------------ 21.52/3.22 % (27303)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 21.52/3.22 % (27303)Termination reason: Refutation 21.52/3.22 21.52/3.22 % (27303)Memory used [KB]: 10874 21.52/3.22 % (27303)Time elapsed: 0.774 s 21.52/3.22 % (27303)Instructions burned: 1519 (million) 21.52/3.22 % (27303)------------------------------ 21.52/3.22 % (27303)------------------------------ 21.52/3.22 % (27175)Success in time 2.857 s 21.52/3.22 % Vampire---4.8 exiting 21.52/3.22 EOF