0.04/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s 0.13/0.34 % Computer : n009.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 300 0.13/0.34 % WCLimit : 300 0.13/0.34 % DateTime : Fri Jul 5 04:27:54 EDT 2024 0.13/0.34 % CPUTime : 0.13/0.36 This is a THF_ problem 0.13/0.36 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/sandbox/benchmark/theBenchmark.p 0.23/0.42 % (16490)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2999ds/96Mi) 0.23/0.42 % (16492)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on theBenchmark for (2999ds/34Mi) 0.23/0.42 % (16491)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on theBenchmark for (2999ds/36Mi) 0.23/0.42 % (16494)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi) 0.23/0.42 % (16495)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) 0.23/0.42 % (16496)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi) 0.23/0.42 % (16493)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) 0.23/0.42 % (16497)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) 0.23/0.42 % (16496)Instruction limit reached! 0.23/0.42 % (16496)------------------------------ 0.23/0.42 % (16496)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.42 % (16496)Termination reason: Unknown 0.23/0.42 % (16496)Termination phase: shuffling 0.23/0.42 0.23/0.42 % (16496)Memory used [KB]: 1791 0.23/0.42 % (16496)Time elapsed: 0.005 s 0.23/0.42 % (16496)Instructions burned: 5 (million) 0.23/0.42 % (16496)------------------------------ 0.23/0.42 % (16496)------------------------------ 0.23/0.43 % (16494)Instruction limit reached! 0.23/0.43 % (16494)------------------------------ 0.23/0.43 % (16494)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.43 % (16494)Termination reason: Unknown 0.23/0.43 % (16494)Termination phase: shuffling 0.23/0.43 0.23/0.43 % (16494)Memory used [KB]: 2174 0.23/0.43 % (16494)Time elapsed: 0.013 s 0.23/0.43 % (16494)Instructions burned: 18 (million) 0.23/0.43 % (16494)------------------------------ 0.23/0.43 % (16494)------------------------------ 0.23/0.44 % (16498)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) 0.23/0.44 % (16492)Instruction limit reached! 0.23/0.44 % (16492)------------------------------ 0.23/0.44 % (16492)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.44 % (16492)Termination reason: Unknown 0.23/0.44 % (16492)Termination phase: shuffling 0.23/0.44 0.23/0.44 % (16492)Memory used [KB]: 2430 0.23/0.44 % (16492)Time elapsed: 0.023 s 0.23/0.44 % (16492)Instructions burned: 34 (million) 0.23/0.44 % (16492)------------------------------ 0.23/0.44 % (16492)------------------------------ 0.23/0.44 % (16491)Instruction limit reached! 0.23/0.44 % (16491)------------------------------ 0.23/0.44 % (16491)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.44 % (16491)Termination reason: Unknown 0.23/0.44 % (16491)Termination phase: shuffling 0.23/0.44 0.23/0.44 % (16491)Memory used [KB]: 2430 0.23/0.44 % (16491)Time elapsed: 0.025 s 0.23/0.44 % (16491)Instructions burned: 36 (million) 0.23/0.44 % (16491)------------------------------ 0.23/0.44 % (16491)------------------------------ 0.23/0.45 % (16499)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi) 0.23/0.45 % (16499)Instruction limit reached! 0.23/0.45 % (16499)------------------------------ 0.23/0.45 % (16499)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.45 % (16499)Termination reason: Unknown 0.23/0.45 % (16499)Termination phase: shuffling 0.23/0.45 0.23/0.45 % (16499)Memory used [KB]: 1918 0.23/0.45 % (16499)Time elapsed: 0.007 s 0.23/0.45 % (16499)Instructions burned: 8 (million) 0.23/0.45 % (16499)------------------------------ 0.23/0.45 % (16499)------------------------------ 0.23/0.45 % (16498)Instruction limit reached! 0.23/0.45 % (16498)------------------------------ 0.23/0.45 % (16498)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.45 % (16498)Termination reason: Unknown 0.23/0.45 % (16498)Termination phase: shuffling 0.23/0.45 0.23/0.45 % (16498)Memory used [KB]: 2302 0.23/0.45 % (16498)Time elapsed: 0.017 s 0.23/0.45 % (16498)Instructions burned: 21 (million) 0.23/0.45 % (16498)------------------------------ 0.23/0.45 % (16498)------------------------------ 0.23/0.46 % (16500)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) 0.23/0.46 % (16502)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) 0.23/0.46 % (16495)Instruction limit reached! 0.23/0.46 % (16495)------------------------------ 0.23/0.46 % (16495)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.46 % (16495)Termination reason: Unknown 0.23/0.46 % (16495)Termination phase: shuffling 0.23/0.46 0.23/0.46 % (16495)Memory used [KB]: 3070 0.23/0.46 % (16495)Time elapsed: 0.043 s 0.23/0.46 % (16495)Instructions burned: 75 (million) 0.23/0.46 % (16495)------------------------------ 0.23/0.46 % (16495)------------------------------ 0.23/0.47 % (16506)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) 0.23/0.47 % (16508)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) 0.23/0.48 % (16506)Instruction limit reached! 0.23/0.48 % (16506)------------------------------ 0.23/0.48 % (16506)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.48 % (16506)Termination reason: Unknown 0.23/0.48 % (16506)Termination phase: shuffling 0.23/0.48 0.23/0.48 % (16506)Memory used [KB]: 1918 0.23/0.48 % (16506)Time elapsed: 0.009 s 0.23/0.48 % (16506)Instructions burned: 10 (million) 0.23/0.48 % (16506)------------------------------ 0.23/0.48 % (16506)------------------------------ 0.23/0.48 % (16490)Instruction limit reached! 0.23/0.48 % (16490)------------------------------ 0.23/0.48 % (16490)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.48 % (16490)Termination reason: Unknown 0.23/0.48 % (16490)Termination phase: Preprocessing 3 0.23/0.48 0.23/0.48 % (16490)Memory used [KB]: 3326 0.23/0.48 % (16512)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) 0.23/0.48 % (16490)Time elapsed: 0.059 s 0.23/0.48 % (16490)Instructions burned: 97 (million) 0.23/0.48 % (16490)------------------------------ 0.23/0.48 % (16490)------------------------------ 0.23/0.49 % (16518)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on theBenchmark for (2998ds/61Mi) 0.23/0.49 % (16519)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on theBenchmark for (2998ds/14Mi) 0.23/0.50 % (16502)Instruction limit reached! 0.23/0.50 % (16502)------------------------------ 0.23/0.50 % (16502)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.50 % (16519)Instruction limit reached! 0.23/0.50 % (16519)------------------------------ 0.23/0.50 % (16519)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.50 % (16519)Termination reason: Unknown 0.23/0.50 % (16519)Termination phase: shuffling 0.23/0.50 0.23/0.50 % (16519)Memory used [KB]: 2046 0.23/0.50 % (16519)Time elapsed: 0.013 s 0.23/0.50 % (16519)Instructions burned: 14 (million) 0.23/0.50 % (16519)------------------------------ 0.23/0.50 % (16519)------------------------------ 0.23/0.50 % (16502)Termination reason: Unknown 0.23/0.50 % (16502)Termination phase: Property scanning 0.23/0.50 0.23/0.50 % (16502)Memory used [KB]: 2686 0.23/0.50 % (16502)Time elapsed: 0.047 s 0.23/0.50 % (16502)Instructions burned: 71 (million) 0.23/0.50 % (16502)------------------------------ 0.23/0.50 % (16502)------------------------------ 0.23/0.53 % (16528)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 (2998ds/2Mi) 0.23/0.53 % (16528)Instruction limit reached! 0.23/0.53 % (16528)------------------------------ 0.23/0.53 % (16528)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.53 % (16528)Termination reason: Unknown 0.23/0.53 % (16528)Termination phase: shuffling 0.23/0.53 0.23/0.53 % (16528)Memory used [KB]: 1791 0.23/0.53 % (16528)Time elapsed: 0.005 s 0.23/0.53 % (16528)Instructions burned: 2 (million) 0.23/0.53 % (16528)------------------------------ 0.23/0.53 % (16528)------------------------------ 0.23/0.54 % (16518)Instruction limit reached! 0.23/0.54 % (16518)------------------------------ 0.23/0.54 % (16518)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.54 % (16518)Termination reason: Unknown 0.23/0.54 % (16518)Termination phase: Preprocessing 1 0.23/0.54 0.23/0.54 % (16518)Memory used [KB]: 2558 0.23/0.54 % (16518)Time elapsed: 0.054 s 0.23/0.54 % (16518)Instructions burned: 61 (million) 0.23/0.54 % (16518)------------------------------ 0.23/0.54 % (16518)------------------------------ 0.23/0.56 % (16531)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2998ds/11Mi) 0.23/0.56 % (16529)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 (2998ds/1041Mi) 0.23/0.56 % (16512)Instruction limit reached! 0.23/0.56 % (16512)------------------------------ 0.23/0.56 % (16512)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.56 % (16512)Termination reason: Unknown 0.23/0.56 % (16512)Termination phase: Property scanning 0.23/0.56 0.23/0.56 % (16512)Memory used [KB]: 3454 0.23/0.56 % (16512)Time elapsed: 0.088 s 0.23/0.56 % (16512)Instructions burned: 128 (million) 0.23/0.56 % (16512)------------------------------ 0.23/0.56 % (16512)------------------------------ 1.34/0.57 % (16531)Instruction limit reached! 1.34/0.57 % (16531)------------------------------ 1.34/0.57 % (16531)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.34/0.57 % (16531)Termination reason: Unknown 1.34/0.57 % (16531)Termination phase: shuffling 1.34/0.57 1.34/0.57 % (16531)Memory used [KB]: 2046 1.34/0.57 % (16531)Time elapsed: 0.010 s 1.34/0.57 % (16531)Instructions burned: 11 (million) 1.34/0.57 % (16531)------------------------------ 1.34/0.57 % (16531)------------------------------ 1.34/0.57 % (16533)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2998ds/140Mi) 1.34/0.58 % (16537)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) 1.34/0.58 % (16538)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) 1.54/0.59 % (16537)Instruction limit reached! 1.54/0.59 % (16537)------------------------------ 1.54/0.59 % (16537)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.54/0.59 % (16537)Termination reason: Unknown 1.54/0.59 % (16537)Termination phase: shuffling 1.54/0.59 1.54/0.59 % (16537)Memory used [KB]: 2302 1.54/0.59 % (16537)Time elapsed: 0.015 s 1.54/0.59 % (16537)Instructions burned: 26 (million) 1.54/0.59 % (16537)------------------------------ 1.54/0.59 % (16537)------------------------------ 1.54/0.61 % (16544)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 (2997ds/275Mi) 1.54/0.61 % (16538)Instruction limit reached! 1.54/0.61 % (16538)------------------------------ 1.54/0.61 % (16538)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.54/0.61 % (16538)Termination reason: Unknown 1.54/0.61 % (16538)Termination phase: Property scanning 1.54/0.61 1.54/0.61 % (16538)Memory used [KB]: 2430 1.54/0.61 % (16538)Time elapsed: 0.032 s 1.54/0.61 % (16538)Instructions burned: 57 (million) 1.54/0.61 % (16538)------------------------------ 1.54/0.61 % (16538)------------------------------ 1.54/0.63 % (16548)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi) 1.54/0.63 % (16548)Instruction limit reached! 1.54/0.63 % (16548)------------------------------ 1.54/0.63 % (16548)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.54/0.63 % (16548)Termination reason: Unknown 1.54/0.63 % (16548)Termination phase: shuffling 1.54/0.63 1.54/0.63 % (16548)Memory used [KB]: 1791 1.54/0.63 % (16548)Time elapsed: 0.003 s 1.54/0.63 % (16548)Instructions burned: 3 (million) 1.54/0.63 % (16548)------------------------------ 1.54/0.63 % (16548)------------------------------ 1.54/0.64 % (16552)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 (2997ds/19Mi) 1.54/0.64 % (16544)Refutation not found, incomplete strategy 1.54/0.64 % (16544)------------------------------ 1.54/0.64 % (16544)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.54/0.64 % (16544)Termination reason: Refutation not found, incomplete strategy 1.54/0.64 1.54/0.64 1.54/0.64 % (16544)Memory used [KB]: 7036 1.54/0.64 % (16544)Time elapsed: 0.030 s 1.54/0.64 % (16544)Instructions burned: 67 (million) 1.54/0.64 % (16544)------------------------------ 1.54/0.64 % (16544)------------------------------ 1.54/0.64 % (16533)Instruction limit reached! 1.54/0.64 % (16533)------------------------------ 1.54/0.64 % (16533)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.54/0.64 % (16533)Termination reason: Unknown 1.54/0.64 % (16533)Termination phase: Saturation 1.54/0.64 1.54/0.64 % (16533)Memory used [KB]: 7419 1.54/0.64 % (16533)Time elapsed: 0.095 s 1.54/0.64 % (16533)Instructions burned: 142 (million) 1.54/0.64 % (16533)------------------------------ 1.54/0.64 % (16533)------------------------------ 1.54/0.64 % (16552)Instruction limit reached! 1.54/0.64 % (16552)------------------------------ 1.54/0.64 % (16552)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.54/0.64 % (16552)Termination reason: Unknown 1.54/0.64 % (16552)Termination phase: shuffling 1.54/0.64 1.54/0.64 % (16552)Memory used [KB]: 2174 1.54/0.64 % (16552)Time elapsed: 0.008 s 1.54/0.64 % (16552)Instructions burned: 22 (million) 1.54/0.64 % (16552)------------------------------ 1.54/0.64 % (16552)------------------------------ 1.54/0.65 % (16553)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 (2997ds/44Mi) 1.54/0.65 % (16554)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=191:si=on:rtra=on_0 on theBenchmark for (2997ds/191Mi) 1.54/0.65 % (16493)Instruction limit reached! 1.54/0.65 % (16493)------------------------------ 1.54/0.65 % (16493)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.54/0.65 % (16493)Termination reason: Unknown 1.54/0.65 % (16493)Termination phase: Saturation 1.54/0.65 1.54/0.65 % (16493)Memory used [KB]: 9083 1.54/0.65 % (16493)Time elapsed: 0.229 s 1.54/0.65 % (16493)Instructions burned: 386 (million) 1.54/0.65 % (16493)------------------------------ 1.54/0.65 % (16493)------------------------------ 1.54/0.65 % (16555)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2997ds/62Mi) 1.54/0.66 % (16556)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 (2997ds/105Mi) 1.54/0.66 % (16553)Instruction limit reached! 1.54/0.66 % (16553)------------------------------ 1.54/0.66 % (16553)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.54/0.66 % (16553)Termination reason: Unknown 1.54/0.66 % (16553)Termination phase: shuffling 1.54/0.66 1.54/0.66 % (16553)Memory used [KB]: 2686 1.54/0.66 % (16553)Time elapsed: 0.015 s 1.54/0.66 % (16553)Instructions burned: 47 (million) 1.54/0.66 % (16553)------------------------------ 1.54/0.66 % (16553)------------------------------ 2.20/0.67 % (16557)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi) 2.20/0.67 % (16555)Instruction limit reached! 2.20/0.67 % (16555)------------------------------ 2.20/0.67 % (16555)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.20/0.67 % (16555)Termination reason: Unknown 2.20/0.67 % (16557)Instruction limit reached! 2.20/0.67 % (16557)------------------------------ 2.20/0.67 % (16557)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.20/0.67 % (16557)Termination reason: Unknown 2.20/0.67 % (16557)Termination phase: shuffling 2.20/0.67 2.20/0.67 % (16557)Memory used [KB]: 1791 2.20/0.67 % (16557)Time elapsed: 0.003 s 2.20/0.67 % (16557)Instructions burned: 4 (million) 2.20/0.67 % (16557)------------------------------ 2.20/0.67 % (16557)------------------------------ 2.20/0.67 % (16555)Termination phase: shuffling 2.20/0.67 2.20/0.67 % (16555)Memory used [KB]: 2942 2.20/0.67 % (16555)Time elapsed: 0.020 s 2.20/0.67 % (16555)Instructions burned: 64 (million) 2.20/0.67 % (16555)------------------------------ 2.20/0.67 % (16555)------------------------------ 2.20/0.67 % (16500)First to succeed. 2.27/0.68 % (16500)Refutation found. Thanks to Tanya! 2.27/0.68 % SZS status Theorem for theBenchmark 2.27/0.68 % SZS output start Proof for theBenchmark 2.27/0.68 thf(type_def_5, type, list_P1467822637od_a_a: $tType). 2.27/0.68 thf(type_def_7, type, list_P601816365list_a: $tType). 2.27/0.68 thf(type_def_8, type, list_P1891567085od_a_a: $tType). 2.27/0.68 thf(type_def_9, type, list_a_nat: $tType). 2.27/0.68 thf(type_def_10, type, list_l1108175539od_a_a: $tType). 2.27/0.68 thf(type_def_11, type, list_list_a: $tType). 2.27/0.68 thf(type_def_12, type, list_a: $tType). 2.27/0.68 thf(type_def_13, type, a: $tType). 2.27/0.68 thf(type_def_14, type, nat: $tType). 2.27/0.68 thf(type_def_15, type, product_prod_a_a: $tType). 2.27/0.68 thf(type_def_16, type, set_Pr1948701895od_a_a: $tType). 2.27/0.68 thf(type_def_17, type, set_Pr800560199od_a_a: $tType). 2.27/0.68 thf(type_def_18, type, set_Product_prod_a_a: $tType). 2.27/0.68 thf(type_def_19, type, set_Pr1971762695list_a: $tType). 2.27/0.68 thf(type_def_20, type, set_Pr1940702919_a_nat: $tType). 2.27/0.68 thf(type_def_21, type, set_Pr753687879_a_nat: $tType). 2.27/0.68 thf(type_def_22, type, set_Pr1239640519od_a_a: $tType). 2.27/0.68 thf(type_def_23, type, set_Pr1742859527list_a: $tType). 2.27/0.68 thf(type_def_24, type, set_Pr1295299783od_a_a: $tType). 2.27/0.68 thf(type_def_25, type, set_Pr779272263od_a_a: $tType). 2.27/0.68 thf(type_def_26, type, product_prod_a_nat_a: $tType). 2.27/0.68 thf(type_def_27, type, list_P916011052_nat_a: $tType). 2.27/0.68 thf(type_def_28, type, produc657167928_a_a_a: $tType). 2.27/0.68 thf(type_def_29, type, list_P305489470_a_a_a: $tType). 2.27/0.68 thf(type_def_30, type, produc864062247list_a: $tType). 2.27/0.68 thf(type_def_31, type, produc664688895_a_nat: $tType). 2.27/0.68 thf(type_def_32, type, list_P1435957893_a_nat: $tType). 2.27/0.68 thf(type_def_33, type, produc1572603623od_a_a: $tType). 2.27/0.68 thf(type_def_34, type, produc1016684094_a_a_a: $tType). 2.27/0.68 thf(type_def_35, type, list_P319927492_a_a_a: $tType). 2.27/0.68 thf(type_def_36, type, product_prod_a_a_nat: $tType). 2.27/0.68 thf(type_def_37, type, list_P576104046_a_nat: $tType). 2.27/0.68 thf(type_def_38, type, produc1701253078od_a_a: $tType). 2.27/0.68 thf(type_def_39, type, list_P1175580892od_a_a: $tType). 2.27/0.68 thf(type_def_40, type, produc1921647824od_a_a: $tType). 2.27/0.68 thf(type_def_41, type, list_P1458844246od_a_a: $tType). 2.27/0.68 thf(type_def_42, type, set_li562223245od_a_a: $tType). 2.27/0.68 thf(type_def_43, type, set_a: $tType). 2.27/0.68 thf(type_def_44, type, produc821581462od_a_a: $tType). 2.27/0.68 thf(type_def_45, type, produc501911462od_a_a: $tType). 2.27/0.68 thf(type_def_46, type, produc1178641895_a_nat: $tType). 2.27/0.68 thf(type_def_47, type, produc1334933863_a_nat: $tType). 2.27/0.68 thf(type_def_48, type, produc657724903od_a_a: $tType). 2.27/0.68 thf(type_def_49, type, produc403652391list_a: $tType). 2.27/0.68 thf(type_def_50, type, produc205693799od_a_a: $tType). 2.27/0.68 thf(type_def_51, type, produc651658087od_a_a: $tType). 2.27/0.68 thf(type_def_52, type, pair_p125712459t_unit: $tType). 2.27/0.68 thf(type_def_53, type, produc1912141786_a_a_a: $tType). 2.27/0.68 thf(type_def_54, type, produc1990712039od_a_a: $tType). 2.27/0.68 thf(type_def_55, type, produc1197928545_a_a_a: $tType). 2.27/0.68 thf(type_def_56, type, set_Pr727105414od_a_a: $tType). 2.27/0.68 thf(type_def_57, type, set_Pr1525541400_a_a_a: $tType). 2.27/0.68 thf(type_def_58, type, set_Pr248149174od_a_a: $tType). 2.27/0.68 thf(type_def_59, type, set_Pr110478017_a_a_a: $tType). 2.27/0.68 thf(type_def_60, type, pair_p1891813445t_unit: $tType). 2.27/0.68 thf(func_def_0, type, set_Pr779272263od_a_a: $tType). 2.27/0.68 thf(func_def_1, type, produc205693799od_a_a: $tType). 2.27/0.68 thf(func_def_2, type, set_Pr1295299783od_a_a: $tType). 2.27/0.68 thf(func_def_3, type, produc1990712039od_a_a: $tType). 2.27/0.68 thf(func_def_4, type, produc1912141786_a_a_a: $tType). 2.27/0.68 thf(func_def_5, type, set_Pr727105414od_a_a: $tType). 2.27/0.68 thf(func_def_6, type, set_Pr1239640519od_a_a: $tType). 2.27/0.68 thf(func_def_7, type, produc501911462od_a_a: $tType). 2.27/0.68 thf(func_def_8, type, produc657724903od_a_a: $tType). 2.27/0.68 thf(func_def_9, type, produc821581462od_a_a: $tType). 2.27/0.68 thf(func_def_10, type, set_Pr800560199od_a_a: $tType). 2.27/0.68 thf(func_def_11, type, produc651658087od_a_a: $tType). 2.27/0.68 thf(func_def_12, type, set_Pr110478017_a_a_a: $tType). 2.27/0.68 thf(func_def_13, type, set_Pr753687879_a_nat: $tType). 2.27/0.68 thf(func_def_14, type, produc1197928545_a_a_a: $tType). 2.27/0.68 thf(func_def_15, type, list_P1891567085od_a_a: $tType). 2.27/0.68 thf(func_def_16, type, set_Pr1948701895od_a_a: $tType). 2.27/0.68 thf(func_def_17, type, set_Pr1742859527list_a: $tType). 2.27/0.68 thf(func_def_18, type, pair_p1891813445t_unit: $tType). 2.27/0.68 thf(func_def_19, type, produc1334933863_a_nat: $tType). 2.27/0.68 thf(func_def_20, type, list_P1435957893_a_nat: $tType). 2.27/0.68 thf(func_def_21, type, produc1572603623od_a_a: $tType). 2.27/0.68 thf(func_def_22, type, produc403652391list_a: $tType). 2.27/0.68 thf(func_def_23, type, list_P1175580892od_a_a: $tType). 2.27/0.68 thf(func_def_24, type, list_P305489470_a_a_a: $tType). 2.27/0.68 thf(func_def_25, type, set_Pr248149174od_a_a: $tType). 2.27/0.68 thf(func_def_26, type, set_Pr1525541400_a_a_a: $tType). 2.27/0.68 thf(func_def_27, type, pair_p125712459t_unit: $tType). 2.27/0.68 thf(func_def_28, type, set_Pr1940702919_a_nat: $tType). 2.27/0.68 thf(func_def_29, type, produc664688895_a_nat: $tType). 2.27/0.68 thf(func_def_30, type, produc1701253078od_a_a: $tType). 2.27/0.68 thf(func_def_31, type, produc657167928_a_a_a: $tType). 2.27/0.68 thf(func_def_32, type, list_P1458844246od_a_a: $tType). 2.27/0.68 thf(func_def_33, type, list_P319927492_a_a_a: $tType). 2.27/0.68 thf(func_def_34, type, list_P601816365list_a: $tType). 2.27/0.68 thf(func_def_35, type, set_Pr1971762695list_a: $tType). 2.27/0.68 thf(func_def_36, type, produc1178641895_a_nat: $tType). 2.27/0.68 thf(func_def_37, type, list_P576104046_a_nat: $tType). 2.27/0.68 thf(func_def_38, type, list_P916011052_nat_a: $tType). 2.27/0.68 thf(func_def_39, type, produc1921647824od_a_a: $tType). 2.27/0.68 thf(func_def_40, type, produc1016684094_a_a_a: $tType). 2.27/0.68 thf(func_def_41, type, produc864062247list_a: $tType). 2.27/0.68 thf(func_def_42, type, list_l1108175539od_a_a: $tType). 2.27/0.68 thf(func_def_43, type, set_li562223245od_a_a: $tType). 2.27/0.68 thf(func_def_44, type, product_prod_a_a_nat: $tType). 2.27/0.68 thf(func_def_45, type, product_prod_a_nat_a: $tType). 2.27/0.68 thf(func_def_46, type, list_P1467822637od_a_a: $tType). 2.27/0.68 thf(func_def_47, type, set_Product_prod_a_a: $tType). 2.27/0.68 thf(func_def_48, type, list_a_nat: $tType). 2.27/0.68 thf(func_def_49, type, product_prod_a_a: $tType). 2.27/0.68 thf(func_def_50, type, list_list_a: $tType). 2.27/0.68 thf(func_def_51, type, list_a: $tType). 2.27/0.68 thf(func_def_52, type, set_a: $tType). 2.27/0.68 thf(func_def_53, type, nat: $tType). 2.27/0.68 thf(func_def_54, type, a: $tType). 2.27/0.68 thf(func_def_55, type, if_lis321365491od_a_a: $o > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_56, type, kurato292963650list_a: list_P601816365list_a > $o). 2.27/0.68 thf(func_def_57, type, kurato1404746725od_a_a: list_P1891567085od_a_a > $o). 2.27/0.68 thf(func_def_58, type, kurato1072996284sing_a: list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_59, type, append_a_nat: list_a_nat > list_a_nat > list_a_nat). 2.27/0.68 thf(func_def_60, type, append2141280328od_a_a: list_l1108175539od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a). 2.27/0.68 thf(func_def_61, type, append_list_a: list_list_a > list_list_a > list_list_a). 2.27/0.68 thf(func_def_62, type, append750086082list_a: list_P601816365list_a > list_P601816365list_a > list_P601816365list_a). 2.27/0.68 thf(func_def_63, type, append864718978od_a_a: list_P1891567085od_a_a > list_P1891567085od_a_a > list_P1891567085od_a_a). 2.27/0.68 thf(func_def_64, type, append1574001858od_a_a: list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_65, type, append_a: list_a > list_a > list_a). 2.27/0.68 thf(func_def_66, type, bind_a1190333103od_a_a: list_a_nat > ((a > nat) > list_P1467822637od_a_a) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_67, type, bind_a_nat_a: list_a_nat > ((a > nat) > list_a) > list_a). 2.27/0.68 thf(func_def_68, type, bind_l618536897od_a_a: list_l1108175539od_a_a > (list_P1467822637od_a_a > list_P1467822637od_a_a) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_69, type, bind_l1307590552_a_a_a: list_l1108175539od_a_a > (list_P1467822637od_a_a > list_a) > list_a). 2.27/0.68 thf(func_def_70, type, bind_P240085581od_a_a: list_P1467822637od_a_a > (product_prod_a_a > list_l1108175539od_a_a) > list_l1108175539od_a_a). 2.27/0.68 thf(func_def_71, type, bind_P1783625031od_a_a: list_P1467822637od_a_a > (product_prod_a_a > list_P1467822637od_a_a) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_72, type, bind_P293964574_a_a_a: list_P1467822637od_a_a > (product_prod_a_a > list_a) > list_a). 2.27/0.68 thf(func_def_73, type, bind_a883992246od_a_a: list_a > (a > list_l1108175539od_a_a) > list_l1108175539od_a_a). 2.27/0.68 thf(func_def_74, type, bind_a1679112752od_a_a: list_a > (a > list_P1467822637od_a_a) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_75, type, bind_a_a: list_a > (a > list_a) > list_a). 2.27/0.68 thf(func_def_76, type, concat1878217064od_a_a: list_l1108175539od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_77, type, insert2123825731od_a_a: product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_78, type, lenlex2038501170od_a_a: set_Pr1948701895od_a_a > set_Pr800560199od_a_a). 2.27/0.68 thf(func_def_79, type, lenlex_a: set_Product_prod_a_a > set_Pr1971762695list_a). 2.27/0.68 thf(func_def_80, type, lex_Product_prod_a_a: set_Pr1948701895od_a_a > set_Pr800560199od_a_a). 2.27/0.68 thf(func_def_81, type, lex_a: set_Product_prod_a_a > set_Pr1971762695list_a). 2.27/0.68 thf(func_def_82, type, lexord_a_nat: set_Pr1940702919_a_nat > set_Pr753687879_a_nat). 2.27/0.68 thf(func_def_83, type, lexord1284731808od_a_a: set_Pr800560199od_a_a > set_Pr1239640519od_a_a). 2.27/0.68 thf(func_def_84, type, lexord_list_a: set_Pr1971762695list_a > set_Pr1742859527list_a). 2.27/0.68 thf(func_def_85, type, lexord931792858od_a_a: set_Pr1295299783od_a_a > set_Pr779272263od_a_a). 2.27/0.68 thf(func_def_86, type, lexord673907738od_a_a: set_Pr1948701895od_a_a > set_Pr800560199od_a_a). 2.27/0.68 thf(func_def_87, type, lexord_a: set_Product_prod_a_a > set_Pr1971762695list_a). 2.27/0.68 thf(func_def_88, type, cons_a_nat: (a > nat) > list_a_nat > list_a_nat). 2.27/0.68 thf(func_def_89, type, cons_l724116707od_a_a: list_P1467822637od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a). 2.27/0.68 thf(func_def_90, type, cons_list_a: list_a > list_list_a > list_list_a). 2.27/0.68 thf(func_def_91, type, cons_P896312284_nat_a: product_prod_a_nat_a > list_P916011052_nat_a > list_P916011052_nat_a). 2.27/0.68 thf(func_def_92, type, cons_P169173742_a_a_a: produc657167928_a_a_a > list_P305489470_a_a_a > list_P305489470_a_a_a). 2.27/0.68 thf(func_def_93, type, cons_P2080942813list_a: produc864062247list_a > list_P601816365list_a > list_P601816365list_a). 2.27/0.68 thf(func_def_94, type, cons_P659009461_a_nat: produc664688895_a_nat > list_P1435957893_a_nat > list_P1435957893_a_nat). 2.27/0.68 thf(func_def_95, type, cons_P1070399645od_a_a: produc1572603623od_a_a > list_P1891567085od_a_a > list_P1891567085od_a_a). 2.27/0.68 thf(func_def_96, type, cons_P86081012_a_a_a: produc1016684094_a_a_a > list_P319927492_a_a_a > list_P319927492_a_a_a). 2.27/0.68 thf(func_def_97, type, cons_P1915851550_a_nat: product_prod_a_a_nat > list_P576104046_a_nat > list_P576104046_a_nat). 2.27/0.68 thf(func_def_98, type, cons_P1213258892od_a_a: produc1701253078od_a_a > list_P1175580892od_a_a > list_P1175580892od_a_a). 2.27/0.68 thf(func_def_99, type, cons_P991044742od_a_a: produc1921647824od_a_a > list_P1458844246od_a_a > list_P1458844246od_a_a). 2.27/0.68 thf(func_def_100, type, cons_P1921020637od_a_a: product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_101, type, cons_a: a > list_a > list_a). 2.27/0.68 thf(func_def_102, type, nil_a_nat: list_a_nat). 2.27/0.68 thf(func_def_103, type, nil_li1885598003od_a_a: list_l1108175539od_a_a). 2.27/0.68 thf(func_def_104, type, nil_Pr1049924845od_a_a: list_P1891567085od_a_a). 2.27/0.68 thf(func_def_105, type, nil_Product_prod_a_a: list_P1467822637od_a_a). 2.27/0.68 thf(func_def_106, type, nil_a: list_a). 2.27/0.68 thf(func_def_107, type, set_li1284606018od_a_a: list_l1108175539od_a_a > set_li562223245od_a_a). 2.27/0.68 thf(func_def_108, type, set_Product_prod_a_a2: list_P1467822637od_a_a > set_Product_prod_a_a). 2.27/0.68 thf(func_def_109, type, set_a2: list_a > set_a). 2.27/0.68 thf(func_def_110, type, listrel1_a_nat: set_Pr1940702919_a_nat > set_Pr753687879_a_nat). 2.27/0.68 thf(func_def_111, type, listre651914124od_a_a: set_Pr800560199od_a_a > set_Pr1239640519od_a_a). 2.27/0.68 thf(func_def_112, type, listrel1_list_a: set_Pr1971762695list_a > set_Pr1742859527list_a). 2.27/0.68 thf(func_def_113, type, listre1832537542od_a_a: set_Pr1295299783od_a_a > set_Pr779272263od_a_a). 2.27/0.68 thf(func_def_114, type, listre944824838od_a_a: set_Pr1948701895od_a_a > set_Pr800560199od_a_a). 2.27/0.68 thf(func_def_115, type, listrel1_a: set_Product_prod_a_a > set_Pr1971762695list_a). 2.27/0.68 thf(func_def_116, type, listre2074280881od_a_a: set_Pr1948701895od_a_a > set_Pr800560199od_a_a). 2.27/0.68 thf(func_def_117, type, listrel_a_a: set_Product_prod_a_a > set_Pr1971762695list_a). 2.27/0.68 thf(func_def_118, type, maps_a836827497od_a_a: ((a > nat) > list_P1467822637od_a_a) > list_a_nat > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_119, type, maps_a_nat_a: ((a > nat) > list_a) > list_a_nat > list_a). 2.27/0.68 thf(func_def_120, type, maps_l1117535867od_a_a: (list_P1467822637od_a_a > list_P1467822637od_a_a) > list_l1108175539od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_121, type, maps_l1091119186_a_a_a: (list_P1467822637od_a_a > list_a) > list_l1108175539od_a_a > list_a). 2.27/0.68 thf(func_def_122, type, maps_P739084551od_a_a: (product_prod_a_a > list_l1108175539od_a_a) > list_P1467822637od_a_a > list_l1108175539od_a_a). 2.27/0.68 thf(func_def_123, type, maps_P1529886977od_a_a: (product_prod_a_a > list_P1467822637od_a_a) > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_124, type, maps_P321755352_a_a_a: (product_prod_a_a > list_a) > list_P1467822637od_a_a > list_a). 2.27/0.68 thf(func_def_125, type, maps_a667520880od_a_a: (a > list_l1108175539od_a_a) > list_a > list_l1108175539od_a_a). 2.27/0.68 thf(func_def_126, type, maps_a1706903530od_a_a: (a > list_P1467822637od_a_a) > list_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_127, type, maps_a_a: (a > list_a) > list_a > list_a). 2.27/0.68 thf(func_def_128, type, measures_a: list_a_nat > set_Product_prod_a_a). 2.27/0.68 thf(func_def_129, type, member_a_nat: list_a_nat > (a > nat) > $o). 2.27/0.68 thf(func_def_130, type, member261538120od_a_a: list_l1108175539od_a_a > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_131, type, member2070313346od_a_a: list_P1891567085od_a_a > produc1572603623od_a_a > $o). 2.27/0.68 thf(func_def_132, type, member1112491458od_a_a: list_P1467822637od_a_a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_133, type, member_a: list_a > a > $o). 2.27/0.68 thf(func_def_134, type, subseq2115548028od_a_a: list_P1467822637od_a_a > list_l1108175539od_a_a). 2.27/0.68 thf(func_def_135, type, zip_a_nat_a: list_a_nat > list_a > list_P916011052_nat_a). 2.27/0.68 thf(func_def_136, type, zip_li245157064_a_a_a: list_l1108175539od_a_a > list_a > list_P305489470_a_a_a). 2.27/0.68 thf(func_def_137, type, zip_list_a_list_a: list_list_a > list_list_a > list_P601816365list_a). 2.27/0.68 thf(func_def_138, type, zip_Pr24086287_a_nat: list_P1467822637od_a_a > list_a_nat > list_P1435957893_a_nat). 2.27/0.68 thf(func_def_139, type, zip_Pr792472183od_a_a: list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1891567085od_a_a). 2.27/0.68 thf(func_def_140, type, zip_Pr201224270_a_a_a: list_P1467822637od_a_a > list_a > list_P319927492_a_a_a). 2.27/0.68 thf(func_def_141, type, zip_a_a_nat: list_a > list_a_nat > list_P576104046_a_nat). 2.27/0.68 thf(func_def_142, type, zip_a_1969042406od_a_a: list_a > list_l1108175539od_a_a > list_P1175580892od_a_a). 2.27/0.68 thf(func_def_143, type, zip_a_1586372448od_a_a: list_a > list_P1467822637od_a_a > list_P1458844246od_a_a). 2.27/0.68 thf(func_def_144, type, zip_a_a: list_a > list_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_145, type, size_s642698393od_a_a: list_P1467822637od_a_a > nat). 2.27/0.68 thf(func_def_146, type, size_size_list_a: list_a > nat). 2.27/0.68 thf(func_def_147, type, ord_less_nat: nat > nat > $o). 2.27/0.68 thf(func_def_148, type, pair_co_path_a: product_prod_a_a > a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_149, type, pair_co_path_rel_a: produc821581462od_a_a > produc821581462od_a_a > $o). 2.27/0.68 thf(func_def_150, type, pair_p2140537249od_a_a: product_prod_a_a > list_P1891567085od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_151, type, pair_sd_path_a: product_prod_a_a > a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_152, type, pair_sd_path_rel_a: produc821581462od_a_a > produc821581462od_a_a > $o). 2.27/0.68 thf(func_def_153, type, invers1007791577list_a: list_P1467822637od_a_a > a > a). 2.27/0.68 thf(func_def_154, type, invers214109608_rel_a: produc657167928_a_a_a > produc657167928_a_a_a > $o). 2.27/0.68 thf(func_def_155, type, list_permutes_a: list_P1467822637od_a_a > set_a > $o). 2.27/0.68 thf(func_def_156, type, permut1422637723list_a: list_P1467822637od_a_a > a > a). 2.27/0.68 thf(func_def_157, type, produc214132118od_a_a: (product_prod_a_a > product_prod_a_a > $o) > list_P1467822637od_a_a > produc501911462od_a_a). 2.27/0.68 thf(func_def_158, type, produc1569872215_a_nat: (a > nat) > (a > nat) > produc1178641895_a_nat). 2.27/0.68 thf(func_def_159, type, product_Pair_a_nat_a: (a > nat) > a > product_prod_a_nat_a). 2.27/0.68 thf(func_def_160, type, produc1430747863_a_nat: list_a_nat > list_a_nat > produc1334933863_a_nat). 2.27/0.68 thf(func_def_161, type, produc915218007od_a_a: list_l1108175539od_a_a > list_l1108175539od_a_a > produc657724903od_a_a). 2.27/0.68 thf(func_def_162, type, produc2583831list_a: list_list_a > list_list_a > produc403652391list_a). 2.27/0.68 thf(func_def_163, type, produc461662679od_a_a: list_P1891567085od_a_a > list_P1891567085od_a_a > produc205693799od_a_a). 2.27/0.68 thf(func_def_164, type, produc85179863od_a_a: list_P1467822637od_a_a > list_P1467822637od_a_a > produc651658087od_a_a). 2.27/0.68 thf(func_def_165, type, produc998622632_a_a_a: list_P1467822637od_a_a > a > produc657167928_a_a_a). 2.27/0.68 thf(func_def_166, type, produc1448356631list_a: list_a > list_a > produc864062247list_a). 2.27/0.68 thf(func_def_167, type, produc74075722_a_a_a: pair_p125712459t_unit > produc1016684094_a_a_a > produc1912141786_a_a_a). 2.27/0.68 thf(func_def_168, type, produc1935643479od_a_a: produc1572603623od_a_a > produc1572603623od_a_a > produc1990712039od_a_a). 2.27/0.68 thf(func_def_169, type, produc825466863_a_nat: product_prod_a_a > (a > nat) > produc664688895_a_nat). 2.27/0.68 thf(func_def_170, type, produc600870406od_a_a: product_prod_a_a > produc1701253078od_a_a > produc821581462od_a_a). 2.27/0.68 thf(func_def_171, type, produc1474507607od_a_a: product_prod_a_a > product_prod_a_a > produc1572603623od_a_a). 2.27/0.68 thf(func_def_172, type, produc2061588782_a_a_a: product_prod_a_a > a > produc1016684094_a_a_a). 2.27/0.68 thf(func_def_173, type, product_Pair_a_a_nat: a > (a > nat) > product_prod_a_a_nat). 2.27/0.68 thf(func_def_174, type, produc575024326od_a_a: a > list_P1467822637od_a_a > produc1701253078od_a_a). 2.27/0.68 thf(func_def_175, type, produc1440321489_a_a_a: a > produc657167928_a_a_a > produc1197928545_a_a_a). 2.27/0.68 thf(func_def_176, type, produc1299253312od_a_a: a > product_prod_a_a > produc1921647824od_a_a). 2.27/0.68 thf(func_def_177, type, product_Pair_a_a: a > a > product_prod_a_a). 2.27/0.68 thf(func_def_178, type, asym_a: set_Product_prod_a_a > $o). 2.27/0.68 thf(func_def_179, type, irrefl76447196od_a_a: set_Pr1948701895od_a_a > $o). 2.27/0.68 thf(func_def_180, type, irrefl_a: set_Product_prod_a_a > $o). 2.27/0.68 thf(func_def_181, type, collec1811041560od_a_a: (list_P1467822637od_a_a > $o) > set_li562223245od_a_a). 2.27/0.68 thf(func_def_182, type, collec1566074578od_a_a: (produc651658087od_a_a > $o) > set_Pr800560199od_a_a). 2.27/0.68 thf(func_def_183, type, collec656258194list_a: (produc864062247list_a > $o) > set_Pr1971762695list_a). 2.27/0.68 thf(func_def_184, type, collec645855634od_a_a: (product_prod_a_a > $o) > set_Product_prod_a_a). 2.27/0.68 thf(func_def_185, type, collect_a: (a > $o) > set_a). 2.27/0.68 thf(func_def_186, type, the_el1640649244od_a_a: set_Product_prod_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_187, type, accp_P941981633_a_a_a: (produc657167928_a_a_a > produc657167928_a_a_a > $o) > produc657167928_a_a_a > $o). 2.27/0.68 thf(func_def_188, type, accp_P1029463583od_a_a: (produc821581462od_a_a > produc821581462od_a_a > $o) > produc821581462od_a_a > $o). 2.27/0.68 thf(func_def_189, type, member1578987478od_a_a: list_P1467822637od_a_a > set_li562223245od_a_a > $o). 2.27/0.68 thf(func_def_190, type, member372644687od_a_a: produc501911462od_a_a > set_Pr727105414od_a_a > $o). 2.27/0.68 thf(func_def_191, type, member125757712_a_nat: produc1178641895_a_nat > set_Pr1940702919_a_nat > $o). 2.27/0.68 thf(func_def_192, type, member688761744_a_nat: produc1334933863_a_nat > set_Pr753687879_a_nat > $o). 2.27/0.68 thf(func_def_193, type, member8108048od_a_a: produc657724903od_a_a > set_Pr1239640519od_a_a > $o). 2.27/0.68 thf(func_def_194, type, member888406864list_a: produc403652391list_a > set_Pr1742859527list_a > $o). 2.27/0.68 thf(func_def_195, type, member1254757008od_a_a: produc205693799od_a_a > set_Pr779272263od_a_a > $o). 2.27/0.68 thf(func_def_196, type, member1691432592od_a_a: produc651658087od_a_a > set_Pr800560199od_a_a > $o). 2.27/0.68 thf(func_def_197, type, member430654177_a_a_a: produc657167928_a_a_a > set_Pr1525541400_a_a_a > $o). 2.27/0.68 thf(func_def_198, type, member1250517072list_a: produc864062247list_a > set_Pr1971762695list_a > $o). 2.27/0.68 thf(func_def_199, type, member1899387664od_a_a: produc1990712039od_a_a > set_Pr1295299783od_a_a > $o). 2.27/0.68 thf(func_def_200, type, member2057358096od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > $o). 2.27/0.68 thf(func_def_201, type, member1474739327od_a_a: produc1701253078od_a_a > set_Pr248149174od_a_a > $o). 2.27/0.68 thf(func_def_202, type, member1904151562_a_a_a: produc1197928545_a_a_a > set_Pr110478017_a_a_a > $o). 2.27/0.68 thf(func_def_203, type, member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o). 2.27/0.68 thf(func_def_204, type, member_a2: a > set_a > $o). 2.27/0.68 thf(func_def_205, type, e: product_prod_a_a). 2.27/0.68 thf(func_def_206, type, es: list_P1467822637od_a_a). 2.27/0.68 thf(func_def_222, type, sP0: produc1572603623od_a_a > produc1572603623od_a_a > set_Pr1295299783od_a_a > list_P1891567085od_a_a > list_P1891567085od_a_a > $o). 2.27/0.68 thf(func_def_223, type, sP1: list_P1891567085od_a_a > list_P1891567085od_a_a > set_Pr1295299783od_a_a > produc1572603623od_a_a > produc1572603623od_a_a > $o). 2.27/0.68 thf(func_def_224, type, sP2: list_a > list_a > a > set_Product_prod_a_a > $o). 2.27/0.68 thf(func_def_225, type, sP3: list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_226, type, sP4: list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_227, type, sP5: list_P1467822637od_a_a > a > a > $o). 2.27/0.68 thf(func_def_228, type, sP6: set_Product_prod_a_a > list_a > list_a > $o). 2.27/0.68 thf(func_def_229, type, sP7: set_Product_prod_a_a > list_a > list_a > $o). 2.27/0.68 thf(func_def_230, type, sP8: list_P1467822637od_a_a > list_P1467822637od_a_a > set_Pr1948701895od_a_a > product_prod_a_a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_231, type, sP9: list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > $o). 2.27/0.68 thf(func_def_232, type, sP10: list_a > list_a > set_Product_prod_a_a > a > a > $o). 2.27/0.68 thf(func_def_233, type, sP11: list_a > list_a > a > a > set_Product_prod_a_a > $o). 2.27/0.68 thf(func_def_234, type, sP12: product_prod_a_a > produc1572603623od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1891567085od_a_a > $o). 2.27/0.68 thf(func_def_235, type, sP13: list_a > list_a > list_a > set_Product_prod_a_a > $o). 2.27/0.68 thf(func_def_236, type, sP14: list_a > list_a > list_a > list_a > list_a > $o). 2.27/0.68 thf(func_def_237, type, sP15: list_a > list_a > list_a > list_a > $o). 2.27/0.68 thf(func_def_238, type, sP16: product_prod_a_a > product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > set_Pr1948701895od_a_a > $o). 2.27/0.68 thf(func_def_239, type, sP17: list_P1467822637od_a_a > list_P1467822637od_a_a > list_l1108175539od_a_a > $o). 2.27/0.68 thf(func_def_240, type, sP18: list_l1108175539od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_241, type, sP19: list_a > list_a > set_Product_prod_a_a > a > a > $o). 2.27/0.68 thf(func_def_242, type, sP20: list_a > list_a > a > a > set_Product_prod_a_a > $o). 2.27/0.68 thf(func_def_243, type, sP21: list_P1467822637od_a_a > list_P1467822637od_a_a > set_Pr1948701895od_a_a > product_prod_a_a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_244, type, sP22: list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > $o). 2.27/0.68 thf(func_def_245, type, sP23: set_Product_prod_a_a > (list_a > list_a > $o) > $o). 2.27/0.68 thf(func_def_246, type, sP24: list_l1108175539od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a > $o). 2.27/0.68 thf(func_def_247, type, sP25: list_l1108175539od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a > $o). 2.27/0.68 thf(func_def_248, type, sP26: product_prod_a_a > product_prod_a_a > a > a > a > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_249, type, sP27: a > a > list_a > list_a > set_Product_prod_a_a > $o). 2.27/0.68 thf(func_def_250, type, sP28: a > a > set_Product_prod_a_a > list_a > list_a > $o). 2.27/0.68 thf(func_def_251, type, sP29: list_P1467822637od_a_a > (product_prod_a_a > $o) > $o). 2.27/0.68 thf(func_def_252, type, sP30: list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_253, type, sP31: (product_prod_a_a > $o) > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_254, type, sP32: list_P1467822637od_a_a > (product_prod_a_a > $o) > $o). 2.27/0.68 thf(func_def_255, type, sP33: a > a > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_256, type, sP34: a > list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_257, type, sP35: list_a > set_Product_prod_a_a > $o). 2.27/0.68 thf(func_def_258, type, sP36: list_P1467822637od_a_a > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_259, type, sP37: list_P1467822637od_a_a > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_260, type, sP38: list_P1467822637od_a_a > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_261, type, sP39: a > a > a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_262, type, sP40: list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a > a > $o). 2.27/0.68 thf(func_def_263, type, sP41: set_Pr1948701895od_a_a > (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > $o). 2.27/0.68 thf(func_def_264, type, sP42: list_list_a > list_list_a > list_a > list_a > set_Pr1971762695list_a > $o). 2.27/0.68 thf(func_def_265, type, sP43: list_list_a > list_list_a > set_Pr1971762695list_a > list_a > list_a > $o). 2.27/0.68 thf(func_def_266, type, sP44: product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_267, type, sP45: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_268, type, sP46: list_l1108175539od_a_a > list_l1108175539od_a_a > set_Pr800560199od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_269, type, sP47: list_P1467822637od_a_a > list_P1467822637od_a_a > set_Pr800560199od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a > $o). 2.27/0.68 thf(func_def_270, type, sP48: product_prod_a_a > product_prod_a_a > a > a > a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_271, type, sP49: list_P1467822637od_a_a > list_P1467822637od_a_a > a > product_prod_a_a > a > a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_272, type, sP50: list_P1467822637od_a_a > list_P1467822637od_a_a > a > a > a > $o). 2.27/0.68 thf(func_def_273, type, sP51: list_P1467822637od_a_a > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_274, type, sP52: list_P1467822637od_a_a > list_P1467822637od_a_a > a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_275, type, sP53: list_P1467822637od_a_a > list_P1467822637od_a_a > set_Pr1948701895od_a_a > product_prod_a_a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_276, type, sP54: product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_277, type, sP55: list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > set_Pr1948701895od_a_a > $o). 2.27/0.68 thf(func_def_278, type, sP56: a > a > set_Product_prod_a_a > list_a > list_a > $o). 2.27/0.68 thf(func_def_279, type, sP57: a > a > list_a > list_a > set_Product_prod_a_a > $o). 2.27/0.68 thf(func_def_280, type, sP58: (list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > $o). 2.27/0.68 thf(func_def_281, type, sP59: (list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > $o). 2.27/0.68 thf(func_def_282, type, sP60: list_a_nat > a > (a > nat) > a > $o). 2.27/0.68 thf(func_def_283, type, sP61: list_a > list_a > list_P1467822637od_a_a > a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_284, type, sP62: list_a > set_Product_prod_a_a > a > list_a > $o). 2.27/0.68 thf(func_def_285, type, sP63: list_P1467822637od_a_a > list_P1467822637od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a > set_Pr800560199od_a_a > $o). 2.27/0.68 thf(func_def_286, type, sP64: list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_287, type, sP65: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_288, type, sP66: list_P1467822637od_a_a > set_Pr1948701895od_a_a > product_prod_a_a > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_289, type, sP67: product_prod_a_a > a > list_P1467822637od_a_a > list_P1467822637od_a_a > a > a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_290, type, sP68: product_prod_a_a > a > list_P1467822637od_a_a > list_P1467822637od_a_a > a > a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_291, type, sP69: list_P1467822637od_a_a > a > list_P1467822637od_a_a > a > a > $o). 2.27/0.68 thf(func_def_292, type, sP70: list_P1467822637od_a_a > product_prod_a_a > a > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_293, type, sP71: product_prod_a_a > a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_294, type, sP72: list_P1891567085od_a_a > list_P1891567085od_a_a > list_P1891567085od_a_a > list_P1891567085od_a_a > list_P1891567085od_a_a > $o). 2.27/0.68 thf(func_def_295, type, sP73: list_P1891567085od_a_a > list_P1891567085od_a_a > list_P1891567085od_a_a > list_P1891567085od_a_a > $o). 2.27/0.68 thf(func_def_296, type, sP74: list_P1467822637od_a_a > set_Pr1948701895od_a_a > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_297, type, sP75: list_P1467822637od_a_a > set_Pr1948701895od_a_a > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_298, type, sP76: list_P1891567085od_a_a > list_P1891567085od_a_a > produc1572603623od_a_a > produc1572603623od_a_a > set_Pr1295299783od_a_a > $o). 2.27/0.68 thf(func_def_299, type, sP77: product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > set_Pr1948701895od_a_a > $o). 2.27/0.68 thf(func_def_300, type, sP78: list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > $o). 2.27/0.68 thf(func_def_301, type, sP79: list_P1467822637od_a_a > set_Pr1948701895od_a_a > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_302, type, sP80: list_P1467822637od_a_a > list_P1467822637od_a_a > set_Pr1948701895od_a_a > product_prod_a_a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_303, type, sP81: product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o). 2.27/0.68 thf(func_def_304, type, sP82: list_a > list_a > a > a > set_Product_prod_a_a > $o). 2.27/0.68 thf(func_def_305, type, sP83: a > product_prod_a_a > a > a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_306, type, sP84: (product_prod_a_a > a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a > a > product_prod_a_a > a > a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_307, type, sP85: (product_prod_a_a > a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a > a > product_prod_a_a > a > a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_308, type, sP86: (product_prod_a_a > a > list_P1467822637od_a_a > $o) > $o). 2.27/0.68 thf(func_def_309, type, sP87: (a > nat) > (a > nat) > set_Pr1940702919_a_nat > list_a_nat > list_a_nat > $o). 2.27/0.68 thf(func_def_310, type, sP88: list_a_nat > list_a_nat > set_Pr1940702919_a_nat > (a > nat) > (a > nat) > $o). 2.27/0.68 thf(func_def_311, type, sP89: a > a > list_a > list_a > set_Product_prod_a_a > $o). 2.27/0.68 thf(func_def_312, type, sP90: list_a > set_Product_prod_a_a > list_a > $o). 2.27/0.68 thf(func_def_313, type, sP91: list_list_a > list_list_a > list_a > list_a > set_Pr1971762695list_a > $o). 2.27/0.68 thf(func_def_314, type, sP92: (a > nat) > (a > nat) > list_a_nat > list_a_nat > set_Pr1940702919_a_nat > $o). 2.27/0.68 thf(func_def_315, type, sK93: list_a_nat > set_Pr1940702919_a_nat > list_a_nat > a > nat). 2.27/0.68 thf(func_def_316, type, sK94: list_a_nat > set_Pr1940702919_a_nat > list_a_nat > a > nat). 2.27/0.68 thf(func_def_317, type, sK95: list_a_nat > set_Pr1940702919_a_nat > list_a_nat > list_a_nat). 2.27/0.68 thf(func_def_318, type, sK96: list_a_nat > set_Pr1940702919_a_nat > list_a_nat > list_a_nat). 2.27/0.68 thf(func_def_319, type, sK97: set_Pr1948701895od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_320, type, sK98: produc1197928545_a_a_a > a). 2.27/0.68 thf(func_def_321, type, sK99: produc1197928545_a_a_a > produc657167928_a_a_a). 2.27/0.68 thf(func_def_322, type, sK100: (produc1701253078od_a_a > $o) > a). 2.27/0.68 thf(func_def_323, type, sK101: (produc1701253078od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_324, type, sK102: (list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_325, type, sK103: (list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_326, type, sK104: (list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_327, type, sK105: list_list_a > set_Pr1971762695list_a > list_list_a > list_a). 2.27/0.68 thf(func_def_328, type, sK106: list_list_a > set_Pr1971762695list_a > list_list_a > list_a). 2.27/0.68 thf(func_def_329, type, sK107: list_list_a > set_Pr1971762695list_a > list_list_a > list_list_a). 2.27/0.68 thf(func_def_330, type, sK108: list_list_a > set_Pr1971762695list_a > list_list_a > list_list_a). 2.27/0.68 thf(func_def_331, type, sK109: set_Product_prod_a_a > a). 2.27/0.68 thf(func_def_332, type, sK110: list_a > list_a > a > set_Product_prod_a_a > a). 2.27/0.68 thf(func_def_333, type, sK111: list_a > set_Product_prod_a_a > a > list_a > list_a). 2.27/0.68 thf(func_def_334, type, sK112: set_Product_prod_a_a > a). 2.27/0.68 thf(func_def_335, type, sK113: set_Product_prod_a_a > a). 2.27/0.68 thf(func_def_336, type, sK114: set_Pr800560199od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_337, type, sK115: set_Pr800560199od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_338, type, sK116: product_prod_a_a > a). 2.27/0.68 thf(func_def_339, type, sK117: product_prod_a_a > a). 2.27/0.68 thf(func_def_340, type, sK118: list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_341, type, sK119: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a > set_Pr1948701895od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_342, type, sK120: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a > set_Pr1948701895od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_343, type, sK121: (list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_344, type, sK122: (list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_345, type, sK123: (list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_346, type, sK124: (list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_347, type, sK125: (product_prod_a_a > $o) > a). 2.27/0.68 thf(func_def_348, type, sK126: (product_prod_a_a > $o) > a). 2.27/0.68 thf(func_def_349, type, sK127: list_P1467822637od_a_a > a > a > a). 2.27/0.68 thf(func_def_350, type, sK128: list_P1467822637od_a_a > a > a > a). 2.27/0.68 thf(func_def_351, type, sK129: list_P1467822637od_a_a > a > a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_352, type, sK130: (product_prod_a_a > $o) > list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_353, type, sK131: (product_prod_a_a > $o) > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_354, type, sK132: (product_prod_a_a > $o) > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_355, type, sK133: set_Product_prod_a_a > list_a > list_a > a). 2.27/0.68 thf(func_def_356, type, sK134: set_Product_prod_a_a > list_a > list_a > a). 2.27/0.68 thf(func_def_357, type, sK135: set_Product_prod_a_a > list_a > list_a > list_a). 2.27/0.68 thf(func_def_358, type, sK136: set_Product_prod_a_a > list_a > list_a > list_a). 2.27/0.68 thf(func_def_359, type, sK137: set_Pr1948701895od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_360, type, sK138: set_Pr1948701895od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_361, type, sK139: produc1197928545_a_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_362, type, sK140: produc1197928545_a_a_a > a). 2.27/0.68 thf(func_def_363, type, sK141: produc1197928545_a_a_a > a). 2.27/0.68 thf(func_def_364, type, sK142: produc657167928_a_a_a > a). 2.27/0.68 thf(func_def_365, type, sK143: produc657167928_a_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_366, type, sK144: product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_367, type, sK145: product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_368, type, sK146: product_prod_a_a > produc1572603623od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1891567085od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_369, type, sK147: product_prod_a_a > produc1572603623od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1891567085od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_370, type, sK148: list_P1467822637od_a_a > list_P1891567085od_a_a > produc1572603623od_a_a > list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_371, type, sK149: list_P1467822637od_a_a > list_P1891567085od_a_a > produc1572603623od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_372, type, sK150: list_a > set_Product_prod_a_a > a). 2.27/0.68 thf(func_def_373, type, sK151: (produc864062247list_a > $o) > list_a). 2.27/0.68 thf(func_def_374, type, sK152: (produc864062247list_a > $o) > list_a). 2.27/0.68 thf(func_def_375, type, sK153: list_a > a > list_a > a). 2.27/0.68 thf(func_def_376, type, sK154: produc1197928545_a_a_a > a). 2.27/0.68 thf(func_def_377, type, sK155: produc1197928545_a_a_a > produc657167928_a_a_a). 2.27/0.68 thf(func_def_378, type, sK156: produc821581462od_a_a > a). 2.27/0.68 thf(func_def_379, type, sK157: produc821581462od_a_a > a). 2.27/0.68 thf(func_def_380, type, sK158: produc821581462od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_381, type, sK159: produc821581462od_a_a > a). 2.27/0.68 thf(func_def_382, type, sK160: produc821581462od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_383, type, sK161: produc821581462od_a_a > a). 2.27/0.68 thf(func_def_384, type, sK162: produc821581462od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_385, type, sK163: (list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_386, type, sK164: (list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_387, type, sK165: (list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_388, type, sK166: (list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_389, type, sK167: list_l1108175539od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_l1108175539od_a_a). 2.27/0.68 thf(func_def_390, type, sK168: list_l1108175539od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_l1108175539od_a_a). 2.27/0.68 thf(func_def_391, type, sK169: list_l1108175539od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_392, type, sK170: list_l1108175539od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_393, type, sK171: list_a > list_a > set_Product_prod_a_a > a). 2.27/0.68 thf(func_def_394, type, sK172: list_a > list_a > set_Product_prod_a_a > a). 2.27/0.68 thf(func_def_395, type, sK173: list_a > list_a > set_Product_prod_a_a > list_a). 2.27/0.68 thf(func_def_396, type, sK174: list_a > list_a > set_Product_prod_a_a > list_a). 2.27/0.68 thf(func_def_397, type, sK175: list_a > list_a > list_a > list_a > list_a). 2.27/0.68 thf(func_def_398, type, sK176: list_a > list_a > set_Product_prod_a_a > a > a). 2.27/0.68 thf(func_def_399, type, sK177: list_a > list_a > set_Product_prod_a_a > a > list_a). 2.27/0.68 thf(func_def_400, type, sK178: list_l1108175539od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_401, type, sK179: list_l1108175539od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_402, type, sK180: list_l1108175539od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_l1108175539od_a_a). 2.27/0.68 thf(func_def_403, type, sK181: list_l1108175539od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_l1108175539od_a_a). 2.27/0.68 thf(func_def_404, type, sK182: (produc1701253078od_a_a > $o) > a). 2.27/0.68 thf(func_def_405, type, sK183: (produc1701253078od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_406, type, sK184: (produc657167928_a_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_407, type, sK185: (produc657167928_a_a_a > $o) > a). 2.27/0.68 thf(func_def_408, type, sK186: set_Product_prod_a_a > (list_a > list_a > $o) > a). 2.27/0.68 thf(func_def_409, type, sK187: set_Product_prod_a_a > (list_a > list_a > $o) > a). 2.27/0.68 thf(func_def_410, type, sK188: set_Product_prod_a_a > (list_a > list_a > $o) > list_a). 2.27/0.68 thf(func_def_411, type, sK189: set_Product_prod_a_a > (list_a > list_a > $o) > list_a). 2.27/0.68 thf(func_def_412, type, sK190: list_l1108175539od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a). 2.27/0.68 thf(func_def_413, type, sK191: produc657167928_a_a_a > a). 2.27/0.68 thf(func_def_414, type, sK192: produc657167928_a_a_a > a). 2.27/0.68 thf(func_def_415, type, sK193: produc657167928_a_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_416, type, sK194: produc657167928_a_a_a > a). 2.27/0.68 thf(func_def_417, type, sK195: produc657167928_a_a_a > a). 2.27/0.68 thf(func_def_418, type, sK196: produc1912141786_a_a_a > pair_p125712459t_unit). 2.27/0.68 thf(func_def_419, type, sK197: produc1912141786_a_a_a > a). 2.27/0.68 thf(func_def_420, type, sK198: produc1912141786_a_a_a > a). 2.27/0.68 thf(func_def_421, type, sK199: produc1912141786_a_a_a > a). 2.27/0.68 thf(func_def_422, type, sK200: list_P1467822637od_a_a > (product_prod_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_423, type, sK201: list_P1467822637od_a_a > (product_prod_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_424, type, sK202: list_P1467822637od_a_a > (product_prod_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_425, type, sK203: list_P1467822637od_a_a > (product_prod_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_426, type, sK204: list_P1467822637od_a_a > (product_prod_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_427, type, sK205: (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_428, type, sK206: (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_429, type, sK207: (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_430, type, sK208: (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_431, type, sK209: list_P1467822637od_a_a > (product_prod_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_432, type, sK210: list_P1467822637od_a_a > (product_prod_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_433, type, sK211: list_P1467822637od_a_a > (product_prod_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_434, type, sK212: list_P1467822637od_a_a > (product_prod_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_435, type, sK213: (product_prod_a_a > $o) > list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_436, type, sK214: (product_prod_a_a > $o) > list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_437, type, sK215: (product_prod_a_a > $o) > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_438, type, sK216: (product_prod_a_a > $o) > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_439, type, sK217: a > a > list_P1467822637od_a_a > a). 2.27/0.68 thf(func_def_440, type, sK218: a > a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_441, type, sK219: a > a > list_P1467822637od_a_a > a). 2.27/0.68 thf(func_def_442, type, sK220: set_Pr1948701895od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_443, type, sK221: a > list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a > a). 2.27/0.68 thf(func_def_444, type, sK222: a > list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a > a). 2.27/0.68 thf(func_def_445, type, sK223: a > list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_446, type, sK224: a > list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_447, type, sK225: list_P1467822637od_a_a > list_P1467822637od_a_a > set_Pr1948701895od_a_a > product_prod_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_448, type, sK226: list_P1467822637od_a_a > list_P1467822637od_a_a > set_Pr1948701895od_a_a > product_prod_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_449, type, sK227: (produc1197928545_a_a_a > $o) > a). 2.27/0.68 thf(func_def_450, type, sK228: (produc1197928545_a_a_a > $o) > produc657167928_a_a_a). 2.27/0.68 thf(func_def_451, type, sK229: list_P1467822637od_a_a > (product_prod_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_452, type, sK230: list_P1467822637od_a_a > (product_prod_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_453, type, sK231: list_P1467822637od_a_a > (product_prod_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_454, type, sK232: produc651658087od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_455, type, sK233: produc651658087od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_456, type, sK234: produc651658087od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_457, type, sK235: produc651658087od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_458, type, sK236: (produc1197928545_a_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_459, type, sK237: (produc1197928545_a_a_a > $o) > a). 2.27/0.68 thf(func_def_460, type, sK238: (produc1197928545_a_a_a > $o) > a). 2.27/0.68 thf(func_def_461, type, sK239: list_a > set_Product_prod_a_a > a). 2.27/0.68 thf(func_def_462, type, sK240: list_a > set_Product_prod_a_a > a). 2.27/0.68 thf(func_def_463, type, sK241: list_a > set_Product_prod_a_a > a). 2.27/0.68 thf(func_def_464, type, sK242: ((product_prod_a_a > product_prod_a_a > $o) > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_465, type, sK243: ((product_prod_a_a > product_prod_a_a > $o) > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_466, type, sK244: ((product_prod_a_a > product_prod_a_a > $o) > list_P1467822637od_a_a > $o) > product_prod_a_a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_467, type, sK245: ((product_prod_a_a > product_prod_a_a > $o) > list_P1467822637od_a_a > $o) > product_prod_a_a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_468, type, sK246: (pair_p125712459t_unit > product_prod_a_a > a > $o) > a). 2.27/0.68 thf(func_def_469, type, sK247: (pair_p125712459t_unit > product_prod_a_a > a > $o) > a). 2.27/0.68 thf(func_def_470, type, sK248: (pair_p125712459t_unit > product_prod_a_a > a > $o) > a). 2.27/0.68 thf(func_def_471, type, sK249: (pair_p125712459t_unit > product_prod_a_a > a > $o) > pair_p125712459t_unit). 2.27/0.68 thf(func_def_472, type, sK250: set_Product_prod_a_a > a). 2.27/0.68 thf(func_def_473, type, sK251: set_Product_prod_a_a > a). 2.27/0.68 thf(func_def_474, type, sK252: list_P1467822637od_a_a > list_P1467822637od_a_a > set_Pr1948701895od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_475, type, sK253: list_P1467822637od_a_a > list_P1467822637od_a_a > set_Pr1948701895od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_476, type, sK254: list_P1467822637od_a_a > list_P1467822637od_a_a > set_Pr1948701895od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_477, type, sK255: list_P1467822637od_a_a > list_P1467822637od_a_a > set_Pr1948701895od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_478, type, sK256: (produc1197928545_a_a_a > $o) > a). 2.27/0.68 thf(func_def_479, type, sK257: (produc1197928545_a_a_a > $o) > produc657167928_a_a_a). 2.27/0.68 thf(func_def_480, type, sK258: (produc501911462od_a_a > $o) > product_prod_a_a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_481, type, sK259: (produc501911462od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_482, type, sK260: list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_483, type, sK261: list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_484, type, sK262: list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_485, type, sK263: list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_486, type, sK264: list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_487, type, sK265: list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_488, type, sK266: list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_489, type, sK267: list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_490, type, sK268: a > a > a > list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_491, type, sK269: a > a > a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_492, type, sK270: list_P1467822637od_a_a > a > product_prod_a_a > list_P1467822637od_a_a > a). 2.27/0.68 thf(func_def_493, type, sK271: list_P1467822637od_a_a > a > product_prod_a_a > list_P1467822637od_a_a > a). 2.27/0.68 thf(func_def_494, type, sK272: set_Pr1948701895od_a_a > (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_495, type, sK273: set_Pr1948701895od_a_a > (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_496, type, sK274: set_Pr1948701895od_a_a > (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_497, type, sK275: set_Pr1948701895od_a_a > (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_498, type, sK276: (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_499, type, sK277: (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_500, type, sK278: (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_501, type, sK279: (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_502, type, sK280: (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_503, type, sK281: (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_504, type, sK282: list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_505, type, sK283: list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_506, type, sK284: (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_507, type, sK285: (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_508, type, sK286: (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_509, type, sK287: (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_510, type, sK288: (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_511, type, sK289: (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_512, type, sK290: (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_513, type, sK291: (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_514, type, sK292: ((product_prod_a_a > product_prod_a_a) > list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_515, type, sK293: ((product_prod_a_a > product_prod_a_a) > list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > product_prod_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_516, type, sK294: ((product_prod_a_a > product_prod_a_a) > list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_517, type, sK295: ((product_prod_a_a > product_prod_a_a) > list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_518, type, sK296: ((product_prod_a_a > product_prod_a_a) > list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_519, type, sK297: ((product_prod_a_a > product_prod_a_a) > list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > product_prod_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_520, type, sK298: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_521, type, sK299: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_522, type, sK300: product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_523, type, sK301: (produc657167928_a_a_a > $o) > a). 2.27/0.68 thf(func_def_524, type, sK302: (produc657167928_a_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_525, type, sK303: (pair_p1891813445t_unit > produc864062247list_a > list_a > $o) > list_a). 2.27/0.68 thf(func_def_526, type, sK304: (pair_p1891813445t_unit > produc864062247list_a > list_a > $o) > list_a). 2.27/0.68 thf(func_def_527, type, sK305: (pair_p1891813445t_unit > produc864062247list_a > list_a > $o) > pair_p1891813445t_unit). 2.27/0.68 thf(func_def_528, type, sK306: (pair_p1891813445t_unit > produc864062247list_a > list_a > $o) > list_a). 2.27/0.68 thf(func_def_529, type, sK307: produc1701253078od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_530, type, sK308: produc1701253078od_a_a > a). 2.27/0.68 thf(func_def_531, type, sK309: (produc501911462od_a_a > $o) > product_prod_a_a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_532, type, sK310: (produc501911462od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_533, type, sK311: set_Product_prod_a_a > a). 2.27/0.68 thf(func_def_534, type, sK312: list_P1467822637od_a_a > list_P1467822637od_a_a > a > product_prod_a_a > a). 2.27/0.68 thf(func_def_535, type, sK313: list_P1467822637od_a_a > list_P1467822637od_a_a > a > product_prod_a_a > a). 2.27/0.68 thf(func_def_536, type, sK314: list_P1467822637od_a_a > list_P1467822637od_a_a > a > a > a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_537, type, sK315: list_P1467822637od_a_a > list_P1467822637od_a_a > a > a > a > product_prod_a_a). 2.27/0.68 thf(func_def_538, type, sK316: list_P1467822637od_a_a > list_P1467822637od_a_a > a > a > a > product_prod_a_a). 2.27/0.68 thf(func_def_539, type, sK317: list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_540, type, sK318: (list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_541, type, sK319: (list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_542, type, sK320: (list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_543, type, sK321: (list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_544, type, sK322: (list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_545, type, sK323: list_P1467822637od_a_a > (product_prod_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_546, type, sK324: list_P1467822637od_a_a > (product_prod_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_547, type, sK325: list_P1467822637od_a_a > (product_prod_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_548, type, sK326: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_549, type, sK327: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_550, type, sK328: list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_551, type, sK329: list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_552, type, sK330: list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_553, type, sK331: list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_554, type, sK332: list_P1467822637od_a_a > set_Pr1948701895od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_555, type, sK333: set_Product_prod_a_a > a). 2.27/0.68 thf(func_def_556, type, sK334: set_Product_prod_a_a > a). 2.27/0.68 thf(func_def_557, type, sK335: product_prod_a_a > a). 2.27/0.68 thf(func_def_558, type, sK336: product_prod_a_a > a). 2.27/0.68 thf(func_def_559, type, sK337: (list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_560, type, sK338: (list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_561, type, sK339: (list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_562, type, sK340: (list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_563, type, sK341: (list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_564, type, sK342: (list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_565, type, sK343: (list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_566, type, sK344: (list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_567, type, sK345: (product_prod_a_a > $o) > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_568, type, sK346: (product_prod_a_a > $o) > list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_569, type, sK347: (product_prod_a_a > $o) > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_570, type, sK348: (list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_571, type, sK349: (list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_572, type, sK350: (list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_573, type, sK351: (list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_574, type, sK352: (list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_575, type, sK353: (list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_576, type, sK354: list_a > list_a > list_P1467822637od_a_a > a > product_prod_a_a > a). 2.27/0.68 thf(func_def_577, type, sK355: list_a > list_a > list_P1467822637od_a_a > a > product_prod_a_a > list_a). 2.27/0.68 thf(func_def_578, type, sK356: product_prod_a_a > list_a > list_P1467822637od_a_a > list_a > a). 2.27/0.68 thf(func_def_579, type, sK357: product_prod_a_a > list_a > list_P1467822637od_a_a > list_a > list_a). 2.27/0.68 thf(func_def_580, type, sK358: produc501911462od_a_a > product_prod_a_a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_581, type, sK359: produc501911462od_a_a > product_prod_a_a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_582, type, sK360: produc501911462od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_583, type, sK361: produc501911462od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_584, type, sK362: list_a > set_Product_prod_a_a > a > list_a > list_a). 2.27/0.68 thf(func_def_585, type, sK363: set_Product_prod_a_a > a > list_a > list_a > a). 2.27/0.68 thf(func_def_586, type, sK364: list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_587, type, sK365: list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_588, type, sK366: list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_589, type, sK367: list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_590, type, sK368: product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_591, type, sK369: product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_592, type, sK370: list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_593, type, sK371: (product_prod_a_a > $o) > a). 2.27/0.68 thf(func_def_594, type, sK372: (product_prod_a_a > $o) > a). 2.27/0.68 thf(func_def_595, type, sK373: (product_prod_a_a > a > list_P1467822637od_a_a > $o) > a). 2.27/0.68 thf(func_def_596, type, sK374: (product_prod_a_a > a > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_597, type, sK375: (product_prod_a_a > a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_598, type, sK376: (product_prod_a_a > a > list_P1467822637od_a_a > $o) > a). 2.27/0.68 thf(func_def_599, type, sK377: (product_prod_a_a > a > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_600, type, sK378: (product_prod_a_a > a > list_P1467822637od_a_a > $o) > a). 2.27/0.68 thf(func_def_601, type, sK379: (product_prod_a_a > a > list_P1467822637od_a_a > $o) > a). 2.27/0.68 thf(func_def_602, type, sK380: list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_603, type, sK381: list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_604, type, sK382: produc501911462od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_605, type, sK383: produc501911462od_a_a > product_prod_a_a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_606, type, sK384: set_Pr800560199od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_607, type, sK385: set_Pr800560199od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_608, type, sK386: set_Pr800560199od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a). 2.27/0.68 thf(func_def_609, type, sK387: set_Pr800560199od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a). 2.27/0.68 thf(func_def_610, type, sK388: produc864062247list_a > list_a). 2.27/0.68 thf(func_def_611, type, sK389: produc864062247list_a > list_a). 2.27/0.68 thf(func_def_612, type, sK390: produc651658087od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_613, type, sK391: produc651658087od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_614, type, sK392: produc651658087od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_615, type, sK393: produc651658087od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_616, type, sK394: produc651658087od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_617, type, sK395: produc651658087od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_618, type, sK396: list_P1467822637od_a_a > set_Pr1948701895od_a_a > product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_619, type, sK397: list_P1467822637od_a_a > set_Pr1948701895od_a_a > list_P1467822637od_a_a > product_prod_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_620, type, sK398: list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_621, type, sK399: list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_622, type, sK400: (product_prod_a_a > $o) > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_623, type, sK401: (product_prod_a_a > $o) > list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_624, type, sK402: (product_prod_a_a > $o) > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_625, type, sK403: product_prod_a_a > a > list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_626, type, sK404: list_P1467822637od_a_a > a > list_P1467822637od_a_a > a > a > product_prod_a_a). 2.27/0.68 thf(func_def_627, type, sK405: list_P1467822637od_a_a > a > list_P1467822637od_a_a > a > a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_628, type, sK406: list_P1467822637od_a_a > a > list_P1467822637od_a_a > a > a > product_prod_a_a). 2.27/0.68 thf(func_def_629, type, sK407: list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a > a > a). 2.27/0.68 thf(func_def_630, type, sK408: list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a > a > a). 2.27/0.68 thf(func_def_631, type, sK409: list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_632, type, sK410: list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_633, type, sK411: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_634, type, sK412: list_P1467822637od_a_a > product_prod_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_635, type, sK413: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_636, type, sK414: set_Product_prod_a_a > a). 2.27/0.68 thf(func_def_637, type, sK415: produc1701253078od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_638, type, sK416: produc1701253078od_a_a > a). 2.27/0.68 thf(func_def_639, type, sK417: (produc864062247list_a > $o) > list_a). 2.27/0.68 thf(func_def_640, type, sK418: (produc864062247list_a > $o) > list_a). 2.27/0.68 thf(func_def_641, type, sK419: list_P1891567085od_a_a > list_P1891567085od_a_a > list_P1891567085od_a_a > list_P1891567085od_a_a > list_P1891567085od_a_a). 2.27/0.68 thf(func_def_642, type, sK420: produc1197928545_a_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_643, type, sK421: produc1197928545_a_a_a > a). 2.27/0.68 thf(func_def_644, type, sK422: produc1197928545_a_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_645, type, sK423: produc1197928545_a_a_a > a). 2.27/0.68 thf(func_def_646, type, sK424: produc1197928545_a_a_a > a). 2.27/0.68 thf(func_def_647, type, sK425: produc1197928545_a_a_a > a). 2.27/0.68 thf(func_def_648, type, sK426: list_P1467822637od_a_a > set_Pr1948701895od_a_a > list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_649, type, sK427: list_P1467822637od_a_a > set_Pr1948701895od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_650, type, sK428: list_P1467822637od_a_a > set_Pr1948701895od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_651, type, sK429: list_P1467822637od_a_a > set_Pr1948701895od_a_a > list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_652, type, sK430: product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > set_Pr1948701895od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_653, type, sK431: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a > set_Pr1948701895od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_654, type, sK432: list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_655, type, sK433: list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_656, type, sK434: list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_657, type, sK435: list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_658, type, sK436: list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_659, type, sK437: set_Product_prod_a_a > a > list_a > list_a > list_a). 2.27/0.68 thf(func_def_660, type, sK438: set_Product_prod_a_a > a > list_a > list_a > a). 2.27/0.68 thf(func_def_661, type, sK439: list_P1467822637od_a_a > set_Pr1948701895od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_662, type, sK440: list_P1467822637od_a_a > set_Pr1948701895od_a_a > list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_663, type, sK441: list_P1467822637od_a_a > set_Pr1948701895od_a_a > list_P1467822637od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_664, type, sK442: list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_665, type, sK443: (list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_666, type, sK444: (list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_667, type, sK445: ((product_prod_a_a > product_prod_a_a > $o) > list_P1467822637od_a_a > $o) > product_prod_a_a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_668, type, sK446: ((product_prod_a_a > product_prod_a_a > $o) > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_669, type, sK447: ((product_prod_a_a > product_prod_a_a > $o) > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_670, type, sK448: ((product_prod_a_a > product_prod_a_a > $o) > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_671, type, sK449: ((product_prod_a_a > product_prod_a_a > $o) > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_672, type, sK450: ((product_prod_a_a > product_prod_a_a > $o) > list_P1467822637od_a_a > $o) > product_prod_a_a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_673, type, sK451: ((product_prod_a_a > product_prod_a_a > $o) > list_P1467822637od_a_a > $o) > product_prod_a_a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_674, type, sK452: set_Product_prod_a_a > a). 2.27/0.68 thf(func_def_675, type, sK453: produc657167928_a_a_a > a). 2.27/0.68 thf(func_def_676, type, sK454: produc657167928_a_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_677, type, sK455: (product_prod_a_a > a > list_P1467822637od_a_a > $o) > a). 2.27/0.68 thf(func_def_678, type, sK456: (product_prod_a_a > a > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_679, type, sK457: (product_prod_a_a > a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_680, type, sK458: (product_prod_a_a > a > list_P1467822637od_a_a > $o) > a). 2.27/0.68 thf(func_def_681, type, sK459: (product_prod_a_a > a > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_682, type, sK460: (product_prod_a_a > a > list_P1467822637od_a_a > $o) > a). 2.27/0.68 thf(func_def_683, type, sK461: (product_prod_a_a > a > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_684, type, sK462: (product_prod_a_a > a > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_685, type, sK463: (product_prod_a_a > a > list_P1467822637od_a_a > $o) > a). 2.27/0.68 thf(func_def_686, type, sK464: (product_prod_a_a > a > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_687, type, sK465: (product_prod_a_a > a > list_P1467822637od_a_a > $o) > a). 2.27/0.68 thf(func_def_688, type, sK466: produc864062247list_a > list_a). 2.27/0.68 thf(func_def_689, type, sK467: produc864062247list_a > list_a). 2.27/0.68 thf(func_def_690, type, sK468: list_P1467822637od_a_a). 2.27/0.68 thf(func_def_691, type, sK469: list_P1467822637od_a_a). 2.27/0.68 thf(func_def_692, type, sK470: a). 2.27/0.68 thf(func_def_693, type, sK471: a). 2.27/0.68 thf(func_def_694, type, sK472: set_Pr1948701895od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_695, type, sK473: set_Pr1971762695list_a > list_a). 2.27/0.68 thf(func_def_696, type, sK474: set_Pr1971762695list_a > list_a). 2.27/0.68 thf(func_def_697, type, sK475: list_a > set_Product_prod_a_a > list_a > a). 2.27/0.68 thf(func_def_698, type, sK476: list_a > set_Product_prod_a_a > list_a > a). 2.27/0.68 thf(func_def_699, type, sK477: list_a > set_Product_prod_a_a > list_a > list_a). 2.27/0.68 thf(func_def_700, type, sK478: a > a > list_a > list_a > set_Product_prod_a_a > list_a). 2.27/0.68 thf(func_def_701, type, sK479: list_P1891567085od_a_a > list_P1891567085od_a_a > set_Pr1295299783od_a_a > produc1572603623od_a_a). 2.27/0.68 thf(func_def_702, type, sK480: list_P1891567085od_a_a > list_P1891567085od_a_a > set_Pr1295299783od_a_a > produc1572603623od_a_a). 2.27/0.68 thf(func_def_703, type, sK481: list_P1891567085od_a_a > list_P1891567085od_a_a > set_Pr1295299783od_a_a > list_P1891567085od_a_a). 2.27/0.68 thf(func_def_704, type, sK482: list_P1891567085od_a_a > list_P1891567085od_a_a > set_Pr1295299783od_a_a > list_P1891567085od_a_a). 2.27/0.68 thf(func_def_705, type, sK483: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_706, type, sK484: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_707, type, sK485: produc821581462od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_708, type, sK486: produc821581462od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_709, type, sK487: produc821581462od_a_a > a). 2.27/0.68 thf(func_def_710, type, sK488: produc821581462od_a_a > a). 2.27/0.68 thf(func_def_711, type, sK489: produc821581462od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_712, type, sK490: produc821581462od_a_a > a). 2.27/0.68 thf(func_def_713, type, sK491: produc821581462od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_714, type, sK492: produc821581462od_a_a > a). 2.27/0.68 thf(func_def_715, type, sK493: produc821581462od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_716, type, sK494: produc821581462od_a_a > a). 2.27/0.68 thf(func_def_717, type, sK495: produc821581462od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_718, type, sK496: produc501911462od_a_a > product_prod_a_a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_719, type, sK497: produc501911462od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_720, type, sK498: a > list_a > list_a > a). 2.27/0.68 thf(func_def_721, type, sK499: produc501911462od_a_a > product_prod_a_a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_722, type, sK500: produc501911462od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_723, type, sK501: produc501911462od_a_a > product_prod_a_a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_724, type, sK502: produc501911462od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_725, type, sK503: produc501911462od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_726, type, sK504: produc501911462od_a_a > product_prod_a_a > product_prod_a_a > $o). 2.27/0.68 thf(func_def_727, type, sK505: produc501911462od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_728, type, sK506: (set_Product_prod_a_a > $o) > set_Product_prod_a_a). 2.27/0.68 thf(func_def_729, type, sK507: (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_730, type, sK508: (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_731, type, sK509: (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > product_prod_a_a). 2.27/0.68 thf(func_def_732, type, sK510: (list_P1467822637od_a_a > list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_733, type, sK511: (list_P1467822637od_a_a > a > $o) > a). 2.27/0.68 thf(func_def_734, type, sK512: (list_P1467822637od_a_a > a > $o) > a). 2.27/0.68 thf(func_def_735, type, sK513: (list_P1467822637od_a_a > a > $o) > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_736, type, sK514: (list_P1467822637od_a_a > a > $o) > a). 2.27/0.68 thf(func_def_737, type, sK515: (list_P1467822637od_a_a > a > $o) > a). 2.27/0.68 thf(func_def_738, type, sK516: product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_739, type, sK517: product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_740, type, sK518: list_l1108175539od_a_a > list_l1108175539od_a_a). 2.27/0.68 thf(func_def_741, type, sK519: list_l1108175539od_a_a > list_l1108175539od_a_a). 2.27/0.68 thf(func_def_742, type, sK520: list_l1108175539od_a_a > product_prod_a_a). 2.27/0.68 thf(func_def_743, type, sK521: list_l1108175539od_a_a > list_P1467822637od_a_a). 2.27/0.68 thf(func_def_745, type, sK523: set_Product_prod_a_a > a). 2.27/0.68 thf(func_def_746, type, sK524: set_Product_prod_a_a > a). 2.27/0.68 thf(func_def_747, type, sK525: set_Product_prod_a_a > a). 2.27/0.68 thf(func_def_748, type, sK526: set_Product_prod_a_a > a). 2.27/0.68 thf(func_def_749, type, sK527: set_Product_prod_a_a > a). 2.27/0.68 thf(func_def_750, type, sK528: set_Product_prod_a_a > a). 2.27/0.68 thf(func_def_751, type, sK529: set_Product_prod_a_a > a). 2.27/0.68 thf(func_def_752, type, sK530: set_Product_prod_a_a > a). 2.27/0.68 thf(func_def_754, type, ph531: !>[X0: $tType]:(X0)). 2.27/0.68 thf(f3736,plain,( 2.27/0.68 $false), 2.27/0.68 inference(equality_resolution,[],[f3428])). 2.27/0.68 thf(f3428,plain,( 2.27/0.68 ( ! [X2 : a,X3 : a,X0 : product_prod_a_a,X1 : list_P1467822637od_a_a,X4 : list_P1467822637od_a_a] : (((cons_P1921020637od_a_a @ e @ (append1574001858od_a_a @ sK469 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK470 @ sK471) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK471 @ sK470) @ sK468)))) != (cons_P1921020637od_a_a @ X0 @ (append1574001858od_a_a @ X1 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X2 @ X3) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X3 @ X2) @ X4)))))) )), 2.27/0.68 inference(superposition,[],[f3271,f3027])). 2.27/0.68 thf(f3027,plain,( 2.27/0.68 ( ! [X2 : list_P1467822637od_a_a,X0 : product_prod_a_a,X1 : list_P1467822637od_a_a] : (((append1574001858od_a_a @ (cons_P1921020637od_a_a @ X0 @ X1) @ X2) = (cons_P1921020637od_a_a @ X0 @ (append1574001858od_a_a @ X1 @ X2)))) )), 2.27/0.68 inference(cnf_transformation,[],[f909])). 2.27/0.68 thf(f909,plain,( 2.27/0.68 ! [X0 : product_prod_a_a,X1 : list_P1467822637od_a_a,X2 : list_P1467822637od_a_a] : ((append1574001858od_a_a @ (cons_P1921020637od_a_a @ X0 @ X1) @ X2) = (cons_P1921020637od_a_a @ X0 @ (append1574001858od_a_a @ X1 @ X2)))), 2.27/0.68 inference(rectify,[],[f323])). 2.27/0.68 thf(f323,axiom,( 2.27/0.68 ! [X4 : product_prod_a_a,X5 : list_P1467822637od_a_a,X7 : list_P1467822637od_a_a] : ((append1574001858od_a_a @ (cons_P1921020637od_a_a @ X4 @ X5) @ X7) = (cons_P1921020637od_a_a @ X4 @ (append1574001858od_a_a @ X5 @ X7)))), 2.27/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_46_append__Cons)). 2.27/0.68 thf(f3271,plain,( 2.27/0.68 ( ! [X2 : a,X3 : list_P1467822637od_a_a,X1 : a,X4 : list_P1467822637od_a_a] : (((cons_P1921020637od_a_a @ e @ (append1574001858od_a_a @ sK469 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK470 @ sK471) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK471 @ sK470) @ sK468)))) != (append1574001858od_a_a @ X4 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X2 @ X1) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X1 @ X2) @ X3))))) )), 2.27/0.68 inference(equality_proxy_clausification,[],[f3270])). 2.27/0.68 thf(f3270,plain,( 2.27/0.68 ( ! [X2 : a,X3 : list_P1467822637od_a_a,X1 : a,X4 : list_P1467822637od_a_a] : ((((append1574001858od_a_a @ X4 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X2 @ X1) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X1 @ X2) @ X3))) = (cons_P1921020637od_a_a @ e @ (append1574001858od_a_a @ sK469 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK470 @ sK471) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK471 @ sK470) @ sK468))))) = $false)) )), 2.27/0.68 inference(not_proxy_clausification,[],[f3269])). 2.27/0.68 thf(f3269,plain,( 2.27/0.68 ( ! [X2 : a,X3 : list_P1467822637od_a_a,X1 : a,X4 : list_P1467822637od_a_a] : (($true = (~ ((append1574001858od_a_a @ X4 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X2 @ X1) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X1 @ X2) @ X3))) = (cons_P1921020637od_a_a @ e @ (append1574001858od_a_a @ sK469 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK470 @ sK471) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK471 @ sK470) @ sK468)))))))) )), 2.27/0.68 inference(beta_eta_normalization,[],[f3268])). 2.27/0.68 thf(f3268,plain,( 2.27/0.68 ( ! [X2 : a,X3 : list_P1467822637od_a_a,X1 : a,X4 : list_P1467822637od_a_a] : ((((^[Y0 : list_P1467822637od_a_a]: (~ ((append1574001858od_a_a @ Y0 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X2 @ X1) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X1 @ X2) @ X3))) = (cons_P1921020637od_a_a @ e @ (append1574001858od_a_a @ sK469 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK470 @ sK471) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK471 @ sK470) @ sK468))))))) @ X4) = $true)) )), 2.27/0.68 inference(pi_clausification,[],[f3267])). 2.27/0.68 thf(f3267,plain,( 2.27/0.68 ( ! [X2 : a,X3 : list_P1467822637od_a_a,X1 : a] : (((!! @ list_P1467822637od_a_a @ (^[Y0 : list_P1467822637od_a_a]: (~ ((append1574001858od_a_a @ Y0 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X2 @ X1) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X1 @ X2) @ X3))) = (cons_P1921020637od_a_a @ e @ (append1574001858od_a_a @ sK469 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK470 @ sK471) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK471 @ sK470) @ sK468)))))))) = $true)) )), 2.27/0.68 inference(beta_eta_normalization,[],[f3266])). 2.27/0.68 thf(f3266,plain,( 2.27/0.68 ( ! [X2 : a,X3 : list_P1467822637od_a_a,X1 : a] : ((((^[Y0 : list_P1467822637od_a_a]: (!! @ list_P1467822637od_a_a @ (^[Y1 : list_P1467822637od_a_a]: (~ ((append1574001858od_a_a @ Y1 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X2 @ X1) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X1 @ X2) @ Y0))) = (cons_P1921020637od_a_a @ e @ (append1574001858od_a_a @ sK469 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK470 @ sK471) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK471 @ sK470) @ sK468))))))))) @ X3) = $true)) )), 2.27/0.68 inference(pi_clausification,[],[f3265])). 2.27/0.68 thf(f3265,plain,( 2.27/0.68 ( ! [X2 : a,X1 : a] : (($true = (!! @ list_P1467822637od_a_a @ (^[Y0 : list_P1467822637od_a_a]: (!! @ list_P1467822637od_a_a @ (^[Y1 : list_P1467822637od_a_a]: (~ ((append1574001858od_a_a @ Y1 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X2 @ X1) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X1 @ X2) @ Y0))) = (cons_P1921020637od_a_a @ e @ (append1574001858od_a_a @ sK469 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK470 @ sK471) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK471 @ sK470) @ sK468)))))))))))) )), 2.27/0.68 inference(beta_eta_normalization,[],[f3264])). 2.27/0.68 thf(f3264,plain,( 2.27/0.68 ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: (!! @ list_P1467822637od_a_a @ (^[Y1 : list_P1467822637od_a_a]: (!! @ list_P1467822637od_a_a @ (^[Y2 : list_P1467822637od_a_a]: (~ ((append1574001858od_a_a @ Y2 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ Y0 @ X1) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X1 @ Y0) @ Y1))) = (cons_P1921020637od_a_a @ e @ (append1574001858od_a_a @ sK469 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK470 @ sK471) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK471 @ sK470) @ sK468))))))))))) @ X2))) )), 2.27/0.68 inference(pi_clausification,[],[f3263])). 2.27/0.68 thf(f3263,plain,( 2.27/0.68 ( ! [X1 : a] : (((!! @ a @ (^[Y0 : a]: (!! @ list_P1467822637od_a_a @ (^[Y1 : list_P1467822637od_a_a]: (!! @ list_P1467822637od_a_a @ (^[Y2 : list_P1467822637od_a_a]: (~ ((append1574001858od_a_a @ Y2 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ Y0 @ X1) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X1 @ Y0) @ Y1))) = (cons_P1921020637od_a_a @ e @ (append1574001858od_a_a @ sK469 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK470 @ sK471) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK471 @ sK470) @ sK468)))))))))))) = $true)) )), 2.27/0.68 inference(beta_eta_normalization,[],[f3262])). 2.27/0.68 thf(f3262,plain,( 2.27/0.68 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ list_P1467822637od_a_a @ (^[Y2 : list_P1467822637od_a_a]: (!! @ list_P1467822637od_a_a @ (^[Y3 : list_P1467822637od_a_a]: (~ ((append1574001858od_a_a @ Y3 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ Y1 @ Y0) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ Y0 @ Y1) @ Y2))) = (cons_P1921020637od_a_a @ e @ (append1574001858od_a_a @ sK469 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK470 @ sK471) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK471 @ sK470) @ sK468))))))))))))) @ X1))) )), 2.27/0.68 inference(pi_clausification,[],[f3261])). 2.27/0.68 thf(f3261,plain,( 2.27/0.68 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ list_P1467822637od_a_a @ (^[Y2 : list_P1467822637od_a_a]: (!! @ list_P1467822637od_a_a @ (^[Y3 : list_P1467822637od_a_a]: (~ ((append1574001858od_a_a @ Y3 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ Y1 @ Y0) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ Y0 @ Y1) @ Y2))) = (cons_P1921020637od_a_a @ e @ (append1574001858od_a_a @ sK469 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK470 @ sK471) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK471 @ sK470) @ sK468)))))))))))))) = $true)), 2.27/0.68 inference(beta_eta_normalization,[],[f3042])). 2.27/0.68 thf(f3042,plain,( 2.27/0.68 ($true = ((^[Y0 : list_P1467822637od_a_a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ list_P1467822637od_a_a @ (^[Y3 : list_P1467822637od_a_a]: (!! @ list_P1467822637od_a_a @ (^[Y4 : list_P1467822637od_a_a]: (~ ((append1574001858od_a_a @ Y4 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ Y2 @ Y1) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ Y1 @ Y2) @ Y3))) = Y0))))))))))) @ (cons_P1921020637od_a_a @ e @ (append1574001858od_a_a @ sK469 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK470 @ sK471) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK471 @ sK470) @ sK468))))))), 2.27/0.68 inference(definition_unfolding,[],[f2918,f2943,f2947])). 2.27/0.68 thf(f2947,plain,( 2.27/0.68 (es = (append1574001858od_a_a @ sK469 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK470 @ sK471) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK471 @ sK470) @ sK468))))), 2.27/0.68 inference(cnf_transformation,[],[f2084])). 2.27/0.68 thf(f2084,plain,( 2.27/0.68 (es = (append1574001858od_a_a @ sK469 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK470 @ sK471) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK471 @ sK470) @ sK468))))), 2.27/0.68 inference(skolemisation,[status(esa),new_symbols(skolem,[sK468,sK469,sK470,sK471])],[f1109,f2083])). 2.27/0.68 thf(f2083,plain,( 2.27/0.68 ? [X0 : list_P1467822637od_a_a,X1 : list_P1467822637od_a_a,X2 : a,X3 : a] : (es = (append1574001858od_a_a @ X1 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X2 @ X3) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X3 @ X2) @ X0)))) => (es = (append1574001858od_a_a @ sK469 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK470 @ sK471) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ sK471 @ sK470) @ sK468))))), 2.27/0.68 introduced(choice_axiom,[])). 2.27/0.68 thf(f1109,plain,( 2.27/0.68 ? [X0 : list_P1467822637od_a_a,X1 : list_P1467822637od_a_a,X2 : a,X3 : a] : (es = (append1574001858od_a_a @ X1 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X2 @ X3) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X3 @ X2) @ X0))))), 2.27/0.68 inference(ennf_transformation,[],[f884])). 2.27/0.68 thf(f884,plain,( 2.27/0.68 ~! [X0 : list_P1467822637od_a_a,X1 : list_P1467822637od_a_a,X2 : a,X3 : a] : (es != (append1574001858od_a_a @ X1 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X2 @ X3) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X3 @ X2) @ X0))))), 2.27/0.68 inference(rectify,[],[f100])). 2.27/0.68 thf(f100,negated_conjecture,( 2.27/0.68 ~! [X16 : list_P1467822637od_a_a,X13 : list_P1467822637od_a_a,X15 : a,X11 : a] : (es != (append1574001858od_a_a @ X13 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X15 @ X11) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X11 @ X15) @ X16))))), 2.27/0.68 inference(negated_conjecture,[],[f99])). 2.27/0.68 thf(f99,conjecture,( 2.27/0.68 ! [X16 : list_P1467822637od_a_a,X13 : list_P1467822637od_a_a,X15 : a,X11 : a] : (es != (append1574001858od_a_a @ X13 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X15 @ X11) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X11 @ X15) @ X16))))), 2.27/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)). 2.27/0.68 thf(f2943,plain,( 2.27/0.68 (kurato1072996284sing_a = (^[Y0 : list_P1467822637od_a_a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ list_P1467822637od_a_a @ (^[Y3 : list_P1467822637od_a_a]: (!! @ list_P1467822637od_a_a @ (^[Y4 : list_P1467822637od_a_a]: (~ ((append1574001858od_a_a @ Y4 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ Y2 @ Y1) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ Y1 @ Y2) @ Y3))) = Y0))))))))))))), 2.27/0.68 inference(cnf_transformation,[],[f498])). 2.27/0.68 thf(f498,plain,( 2.27/0.68 (kurato1072996284sing_a = (^[Y0 : list_P1467822637od_a_a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ list_P1467822637od_a_a @ (^[Y3 : list_P1467822637od_a_a]: (!! @ list_P1467822637od_a_a @ (^[Y4 : list_P1467822637od_a_a]: (~ ((append1574001858od_a_a @ Y4 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ Y2 @ Y1) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ Y1 @ Y2) @ Y3))) = Y0))))))))))))), 2.27/0.68 inference(fool_elimination,[],[f497])). 2.27/0.68 thf(f497,plain,( 2.27/0.68 ((^[X0 : list_P1467822637od_a_a] : (! [X1 : list_P1467822637od_a_a,X2 : list_P1467822637od_a_a,X3 : a,X4 : a] : ((append1574001858od_a_a @ X1 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X3 @ X4) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X4 @ X3) @ X2))) != X0))) = kurato1072996284sing_a)), 2.27/0.68 inference(rectify,[],[f30])). 2.27/0.68 thf(f30,axiom,( 2.27/0.68 ((^[X56 : list_P1467822637od_a_a] : (! [X57 : list_P1467822637od_a_a,X60 : list_P1467822637od_a_a,X58 : a,X59 : a] : ((append1574001858od_a_a @ X57 @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X58 @ X59) @ (cons_P1921020637od_a_a @ (product_Pair_a_a @ X59 @ X58) @ X60))) != X56))) = kurato1072996284sing_a)), 2.27/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_progressing__def)). 2.27/0.68 thf(f2918,plain,( 2.27/0.68 ((kurato1072996284sing_a @ (cons_P1921020637od_a_a @ e @ es)) = $true)), 2.27/0.68 inference(cnf_transformation,[],[f450])). 2.27/0.68 thf(f450,plain,( 2.27/0.68 ((kurato1072996284sing_a @ (cons_P1921020637od_a_a @ e @ es)) = $true)), 2.27/0.68 inference(fool_elimination,[],[f449])). 2.27/0.68 thf(f449,plain,( 2.27/0.68 (kurato1072996284sing_a @ (cons_P1921020637od_a_a @ e @ es))), 2.27/0.68 inference(rectify,[],[f344])). 2.27/0.68 thf(f344,axiom,( 2.27/0.68 (kurato1072996284sing_a @ (cons_P1921020637od_a_a @ e @ es))), 2.27/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms)). 2.27/0.68 % SZS output end Proof for theBenchmark 2.27/0.68 % (16500)------------------------------ 2.27/0.68 % (16500)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.27/0.68 % (16500)Termination reason: Refutation 2.27/0.68 2.27/0.68 % (16500)Memory used [KB]: 9083 2.27/0.68 % (16500)Time elapsed: 0.220 s 2.27/0.68 % (16500)Instructions burned: 402 (million) 2.27/0.68 % (16500)------------------------------ 2.27/0.68 % (16500)------------------------------ 2.27/0.68 % (16489)Success in time 0.311 s 2.27/0.68 % Vampire---4.8 exiting 2.27/0.68 EOF