0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : do_CVC4 %s 0.13/0.33 % Computer : n027.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 180 0.13/0.33 % DateTime : Thu Aug 29 10:05:24 EDT 2019 0.13/0.33 % CPUTime : 0.19/0.46 %----Proving TH0_NAR 0.19/0.46 ------- cvc4-thf casc 27 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 180... 0.19/0.46 --- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20... 20.28/20.53 --- Run --uf-ho --ho-elim --full-saturate-quant at 20... 21.74/21.92 % SZS status Theorem for theBenchmark 21.74/21.93 % SZS output start Proof for theBenchmark 21.74/21.93 (skolem (forall ((BOUND_VARIABLE_347 |u_(-> a a Bool)|)) (= (not (forall ((BOUND_VARIABLE_373 |u_(-> |u_(-> a a a)| a)|)) (not (ho_4 (ho_3 BOUND_VARIABLE_347 (ho_7 BOUND_VARIABLE_373 k_8)) (ho_7 BOUND_VARIABLE_373 k_5))) )) (not (forall ((Xx a) (Xy a)) (not (ho_4 (ho_3 BOUND_VARIABLE_347 Xx) Xy)) ))) ) 21.74/21.93 ( skv_10 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((Xx a) (Xy a)) (not (ho_4 (ho_3 skv_10 Xx) Xy)) ) 21.74/21.93 ( skv_11 skv_12 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> |u_(-> a a a)| a)|)) (not (forall ((ii |u_(-> a a a)|)) (= (ho_7 v ii) (ite (= ii |e_|u_(-> a a a)|_14|) skv_12 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| ii))) )) ) 21.74/21.93 ( skv_16 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a)|)) (not (forall ((ii a)) (= (ho_9 v ii) (ite (= ii skv_12) skv_12 (ho_9 |e_|u_(-> a a)|_15| ii))) )) ) 21.74/21.93 ( skv_17 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a a)|)) (not (forall ((ii a)) (= (ho_6 v ii) (ite (= ii skv_12) |e_|u_(-> a a)|_15| (ho_6 |e_|u_(-> a a a)|_14| ii))) )) ) 21.74/21.93 ( skv_18 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a Bool)|)) (not (forall ((ii a)) (= (ho_4 v ii) (ite (= ii skv_12) false (ho_4 (ho_3 skv_10 skv_11) ii))) )) ) 21.74/21.93 ( skv_19 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a Bool)|)) (not (forall ((ii a)) (= (ho_3 v ii) (ite (= ii skv_12) (ho_3 skv_10 skv_11) (ho_3 skv_10 ii))) )) ) 21.74/21.93 ( skv_20 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> |u_(-> a a a)| a)|)) (not (forall ((ii |u_(-> a a a)|)) (= (ho_7 v ii) (ite (= k_5 ii) skv_12 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| ii))) )) ) 21.74/21.93 ( skv_26 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a)|)) (not (forall ((ii a)) (= (ho_9 v ii) (ite (= ii skv_12) skv_12 (ho_9 (ho_6 k_5 skv_12) ii))) )) ) 21.74/21.93 ( skv_27 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a a)|)) (not (forall ((ii a)) (= (ho_6 v ii) (ite (= ii skv_12) (ho_6 k_5 skv_12) (ho_6 k_5 ii))) )) ) 21.74/21.93 ( skv_28 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a Bool)|)) (not (forall ((ii a)) (let ((_let_0 (ho_3 skv_10 skv_11))) (= (ho_4 v ii) (ite (= ii skv_12) (ho_4 _let_0 skv_12) (ho_4 _let_0 ii)))) )) ) 21.74/21.93 ( skv_29 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a Bool)|)) (not (forall ((ii a)) (= (ho_3 v ii) (ite (= ii skv_11) (ho_3 skv_10 skv_11) (ho_3 skv_10 ii))) )) ) 21.74/21.93 ( skv_30 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z |u_(-> a a a)|)) (= (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| z) (ho_7 skv_16 z)) ) 21.74/21.93 ( skv_31 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_9 (ho_6 k_5 skv_12) z) (ho_9 (ho_6 skv_18 skv_12) z)) ) 21.74/21.93 ( skv_32 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_6 k_5 z) (ho_6 skv_18 z)) ) 21.74/21.93 ( skv_33 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_4 (ho_3 skv_10 skv_11) z) (ho_4 (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) z)) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_3 skv_10 z) (ho_3 skv_20 z)) ) 21.74/21.93 ( skv_35 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> |u_(-> a a a)| a)|)) (not (forall ((ii |u_(-> a a a)|)) (= (ho_7 v ii) (ite (= k_8 ii) skv_12 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| ii))) )) ) 21.74/21.93 ( skv_57 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a)|)) (not (forall ((ii a)) (= (ho_9 v ii) (ite (= ii skv_11) skv_12 (ho_9 (ho_6 k_5 skv_12) ii))) )) ) 21.74/21.93 ( skv_58 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a a)|)) (not (forall ((ii a)) (= (ho_6 v ii) (ite (= ii skv_11) (ho_6 k_5 skv_12) (ho_6 k_5 ii))) )) ) 21.74/21.93 ( skv_59 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a Bool)|)) (not (forall ((ii a)) (let ((_let_0 (ho_3 skv_10 skv_11))) (= (ho_4 v ii) (ite (= ii skv_11) (ho_4 _let_0 skv_12) (ho_4 _let_0 ii)))) )) ) 21.74/21.93 ( skv_60 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a Bool)|)) (not (forall ((ii a)) (= (ho_3 v ii) (ite (= ii skv_12) (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) (ho_3 skv_10 ii))) )) ) 21.74/21.93 ( skv_61 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_6 k_5 z) (ho_6 k_8 z)) ) 21.74/21.93 ( skv_62 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z |u_(-> a a a)|)) (= (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| z) (ho_7 skv_26 z)) ) 21.74/21.93 ( skv_63 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_9 (ho_6 k_5 skv_12) z) (ho_9 (ho_6 k_8 skv_12) z)) ) 21.74/21.93 ( skv_64 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_3 skv_10 z) (ho_3 skv_30 z)) ) 21.74/21.93 ( skv_65 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> |u_(-> a a a)| a)|)) (not (forall ((ii |u_(-> a a a)|)) (= (ho_7 v ii) (ite (= k_5 ii) skv_11 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| ii))) )) ) 21.74/21.93 ( skv_96 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a)|)) (not (forall ((ii a)) (= (ho_9 v ii) (ite (= ii skv_12) skv_11 (ho_9 (ho_6 k_5 skv_12) ii))) )) ) 21.74/21.93 ( skv_97 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a a)|)) (not (forall ((ii a)) (= (ho_6 v ii) (ite (= ii skv_12) (ho_6 k_8 skv_12) (ho_6 k_5 ii))) )) ) 21.74/21.93 ( skv_98 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a Bool)|)) (not (forall ((ii a)) (= (ho_4 v ii) (ite (= ii skv_12) (ho_4 (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)) (ho_4 (ho_3 skv_10 skv_11) ii))) )) ) 21.74/21.93 ( skv_99 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a Bool)|)) (not (forall ((ii a)) (= (ho_3 v ii) (ite (= ii skv_11) (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) (ho_3 skv_10 ii))) )) ) 21.74/21.93 ( skv_100 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_6 skv_18 z) (ho_6 k_8 z)) ) 21.74/21.93 ( skv_101 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z |u_(-> a a a)|)) (= (ho_7 skv_16 z) (ho_7 skv_26 z)) ) 21.74/21.93 ( skv_102 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_9 (ho_6 skv_18 skv_12) z) (ho_9 (ho_6 k_8 skv_12) z)) ) 21.74/21.93 ( skv_103 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_4 (ho_3 skv_10 skv_11) z) (ho_4 skv_19 z)) ) 21.74/21.93 ( skv_104 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_3 skv_10 z) (ho_3 skv_61 z)) ) 21.74/21.93 ( skv_105 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> |u_(-> a a a)| a)|)) (not (forall ((ii |u_(-> a a a)|)) (= (ho_7 v ii) (ite (= k_8 ii) skv_11 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| ii))) )) ) 21.74/21.93 ( skv_137 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a)|)) (not (forall ((ii a)) (= (ho_9 v ii) (ite (= ii skv_11) skv_11 (ho_9 (ho_6 k_5 skv_12) ii))) )) ) 21.74/21.93 ( skv_138 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a a)|)) (not (forall ((ii a)) (= (ho_6 v ii) (ite (= ii skv_11) (ho_6 k_8 skv_12) (ho_6 k_5 ii))) )) ) 21.74/21.93 ( skv_139 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a Bool)|)) (not (forall ((ii a)) (= (ho_4 v ii) (ite (= ii skv_11) (ho_4 (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)) (ho_4 (ho_3 skv_10 skv_11) ii))) )) ) 21.74/21.93 ( skv_140 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a Bool)|)) (not (forall ((ii a)) (= (ho_3 v ii) (ite (= ii skv_12) (ho_3 skv_10 skv_11) (ho_3 skv_20 ii))) )) ) 21.74/21.93 ( skv_141 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z |u_(-> a a a)|)) (= (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| z) (ho_7 skv_57 z)) ) 21.74/21.93 ( skv_142 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_9 (ho_6 k_5 skv_12) z) (ho_9 skv_17 z)) ) 21.74/21.93 ( skv_143 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_6 k_5 z) (ho_6 skv_98 z)) ) 21.74/21.93 ( skv_144 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_4 (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) z) (ho_4 skv_19 z)) ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_3 skv_10 z) (ho_3 skv_100 z)) ) 21.74/21.93 ( skv_146 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> |u_(-> a a a)| a)|)) (not (forall ((ii |u_(-> a a a)|)) (= (ho_7 v ii) (ite (= k_5 ii) skv_12 (ho_7 skv_16 ii))) )) ) 21.74/21.93 ( skv_199 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a)|)) (not (forall ((ii a)) (= (ho_9 v ii) (ite (= ii skv_12) skv_12 (ho_9 (ho_6 k_8 skv_12) ii))) )) ) 21.74/21.93 ( skv_200 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a a)|)) (not (forall ((ii a)) (= (ho_6 v ii) (ite (= ii skv_12) (ho_6 k_5 skv_12) (ho_6 k_8 ii))) )) ) 21.74/21.93 ( skv_201 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a Bool)|)) (not (forall ((ii a)) (= (ho_4 v ii) (ite (= ii skv_12) (ho_4 (ho_3 skv_10 skv_11) skv_12) (ho_4 (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) ii))) )) ) 21.74/21.93 ( skv_202 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a Bool)|)) (not (forall ((ii a)) (= (ho_3 v ii) (ite (= ii skv_11) (ho_3 skv_10 skv_11) (ho_3 skv_20 ii))) )) ) 21.74/21.93 ( skv_203 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_6 k_8 z) (ho_6 skv_98 z)) ) 21.74/21.93 ( skv_204 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z |u_(-> a a a)|)) (= (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| z) (ho_7 skv_96 z)) ) 21.74/21.93 ( skv_205 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_9 (ho_6 k_8 skv_12) z) (ho_9 skv_17 z)) ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_3 skv_20 z) (ho_3 skv_100 z)) ) 21.74/21.93 ( skv_207 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> |u_(-> a a a)| a)|)) (not (forall ((ii |u_(-> a a a)|)) (= (ho_7 v ii) (ite (= k_8 ii) skv_12 (ho_7 skv_16 ii))) )) ) 21.74/21.93 ( skv_259 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a)|)) (not (forall ((ii a)) (= (ho_9 v ii) (ite (= ii skv_11) skv_12 (ho_9 (ho_6 k_8 skv_12) ii))) )) ) 21.74/21.93 ( skv_260 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a a)|)) (not (forall ((ii a)) (= (ho_6 v ii) (ite (= ii skv_11) (ho_6 k_5 skv_12) (ho_6 k_8 ii))) )) ) 21.74/21.93 ( skv_261 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a Bool)|)) (not (forall ((ii a)) (= (ho_4 v ii) (ite (= ii skv_11) (ho_4 (ho_3 skv_10 skv_11) skv_12) (ho_4 (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) ii))) )) ) 21.74/21.93 ( skv_262 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a Bool)|)) (not (forall ((ii a)) (= (ho_3 v ii) (ite (= ii skv_12) (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) (ho_3 skv_20 ii))) )) ) 21.74/21.93 ( skv_263 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z |u_(-> a a a)|)) (= (ho_7 skv_16 z) (ho_7 skv_96 z)) ) 21.74/21.93 ( skv_264 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_9 (ho_6 skv_18 skv_12) z) (ho_9 skv_17 z)) ) 21.74/21.93 ( skv_265 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_6 skv_18 z) (ho_6 skv_98 z)) ) 21.74/21.93 ( skv_266 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_3 skv_10 z) (ho_3 skv_141 z)) ) 21.74/21.93 ( skv_267 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> |u_(-> a a a)| a)|)) (not (forall ((ii |u_(-> a a a)|)) (= (ho_7 v ii) (ite (= k_5 ii) skv_11 (ho_7 skv_16 ii))) )) ) 21.74/21.93 ( skv_326 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a)|)) (not (forall ((ii a)) (= (ho_9 v ii) (ite (= ii skv_12) skv_11 (ho_9 (ho_6 k_8 skv_12) ii))) )) ) 21.74/21.93 ( skv_327 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a a)|)) (not (forall ((ii a)) (= (ho_6 v ii) (ite (= ii skv_12) (ho_6 k_8 skv_12) (ho_6 k_8 ii))) )) ) 21.74/21.93 ( skv_328 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a Bool)|)) (not (forall ((ii a)) (let ((_let_0 (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)))) (= (ho_4 v ii) (ite (= ii skv_12) (ho_4 _let_0 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)) (ho_4 _let_0 ii)))) )) ) 21.74/21.93 ( skv_329 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a Bool)|)) (not (forall ((ii a)) (= (ho_3 v ii) (ite (= ii skv_11) (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) (ho_3 skv_20 ii))) )) ) 21.74/21.93 ( skv_330 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_6 k_5 z) (ho_6 skv_139 z)) ) 21.74/21.93 ( skv_331 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z |u_(-> a a a)|)) (= (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| z) (ho_7 skv_137 z)) ) 21.74/21.93 ( skv_332 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_9 (ho_6 k_5 skv_12) z) (ho_9 skv_27 z)) ) 21.74/21.93 ( skv_333 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_4 (ho_3 skv_10 skv_11) z) (ho_4 skv_29 z)) ) 21.74/21.93 ( skv_334 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_3 skv_20 z) (ho_3 skv_141 z)) ) 21.74/21.93 ( skv_335 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> |u_(-> a a a)| a)|)) (not (forall ((ii |u_(-> a a a)|)) (= (ho_7 v ii) (ite (= k_8 ii) skv_11 (ho_7 skv_16 ii))) )) ) 21.74/21.93 ( skv_406 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a)|)) (not (forall ((ii a)) (= (ho_9 v ii) (ite (= ii skv_11) skv_11 (ho_9 (ho_6 k_8 skv_12) ii))) )) ) 21.74/21.93 ( skv_407 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a a)|)) (not (forall ((ii a)) (= (ho_6 v ii) (ite (= ii skv_11) (ho_6 k_8 skv_12) (ho_6 k_8 ii))) )) ) 21.74/21.93 ( skv_408 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a Bool)|)) (not (forall ((ii a)) (let ((_let_0 (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)))) (= (ho_4 v ii) (ite (= ii skv_11) (ho_4 _let_0 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)) (ho_4 _let_0 ii)))) )) ) 21.74/21.93 ( skv_409 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a Bool)|)) (not (forall ((ii a)) (= (ho_3 v ii) (ite (= ii (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)) (ho_3 skv_10 skv_11) (ho_3 skv_10 ii))) )) ) 21.74/21.93 ( skv_410 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_6 k_8 z) (ho_6 skv_139 z)) ) 21.74/21.93 ( skv_411 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z |u_(-> a a a)|)) (= (ho_7 skv_16 z) (ho_7 skv_137 z)) ) 21.74/21.93 ( skv_412 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_9 (ho_6 k_5 skv_12) z) (ho_9 (ho_6 k_8 skv_11) z)) ) 21.74/21.93 ( skv_413 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_4 (ho_3 skv_10 skv_11) z) (ho_4 termITE_52 z)) ) 21.74/21.93 ( skv_414 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_3 skv_10 z) (ho_3 skv_203 z)) ) 21.74/21.93 ( skv_415 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> |u_(-> a a a)| a)|)) (not (forall ((ii |u_(-> a a a)|)) (= (ho_7 v ii) (ite (= k_5 ii) skv_12 (ho_7 skv_26 ii))) )) ) 21.74/21.93 ( skv_495 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a)|)) (not (forall ((ii a)) (= (ho_9 v ii) (ite (= ii (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)) skv_12 (ho_9 (ho_6 k_5 skv_12) ii))) )) ) 21.74/21.93 ( skv_496 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a a)|)) (not (forall ((ii a)) (= (ho_6 v ii) (ite (= ii (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)) (ho_6 k_5 skv_12) (ho_6 k_5 ii))) )) ) 21.74/21.93 ( skv_497 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a Bool)|)) (not (forall ((ii a)) (let ((_let_0 (ho_3 skv_10 skv_11))) (= (ho_4 v ii) (ite (= ii (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)) (ho_4 _let_0 skv_12) (ho_4 _let_0 ii)))) )) ) 21.74/21.93 ( skv_498 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a Bool)|)) (not (forall ((ii a)) (= (ho_3 v ii) (ite (= ii (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)) (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) (ho_3 skv_10 ii))) )) ) 21.74/21.93 ( skv_499 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z |u_(-> a a a)|)) (= (ho_7 skv_26 z) (ho_7 skv_96 z)) ) 21.74/21.93 ( skv_500 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_9 (ho_6 k_5 skv_12) z) (ho_9 termITE_25 z)) ) 21.74/21.93 ( skv_501 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_6 skv_18 z) (ho_6 skv_139 z)) ) 21.74/21.93 ( skv_502 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_4 (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) z) (ho_4 termITE_52 z)) ) 21.74/21.93 ( skv_503 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_3 skv_20 z) (ho_3 skv_203 z)) ) 21.74/21.93 ( skv_504 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> |u_(-> a a a)| a)|)) (not (forall ((ii |u_(-> a a a)|)) (= (ho_7 v ii) (ite (= k_8 ii) skv_12 (ho_7 skv_26 ii))) )) ) 21.74/21.93 ( skv_583 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a)|)) (not (forall ((ii a)) (= (ho_9 v ii) (ite (= ii (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)) skv_11 (ho_9 (ho_6 k_5 skv_12) ii))) )) ) 21.74/21.93 ( skv_584 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a a)|)) (not (forall ((ii a)) (= (ho_6 v ii) (ite (= ii (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)) (ho_6 k_8 skv_12) (ho_6 k_5 ii))) )) ) 21.74/21.93 ( skv_585 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a Bool)|)) (not (forall ((ii a)) (let ((_let_0 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5))) (= (ho_4 v ii) (ite (= ii _let_0) (ho_4 (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) _let_0) (ho_4 (ho_3 skv_10 skv_11) ii)))) )) ) 21.74/21.93 ( skv_586 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a Bool)|)) (not (forall ((ii a)) (= (ho_3 v ii) (ite (= ii skv_12) skv_19 (ho_3 skv_10 ii))) )) ) 21.74/21.93 ( skv_587 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z |u_(-> a a a)|)) (= (ho_7 skv_26 z) (ho_7 skv_137 z)) ) 21.74/21.93 ( skv_588 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_9 (ho_6 k_8 skv_12) z) (ho_9 termITE_25 z)) ) 21.74/21.93 ( skv_589 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_6 skv_98 z) (ho_6 skv_139 z)) ) 21.74/21.93 ( skv_590 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_4 skv_19 z) (ho_4 termITE_52 z)) ) 21.74/21.93 ( skv_591 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_3 skv_10 z) (ho_3 skv_263 z)) ) 21.74/21.93 ( skv_592 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> |u_(-> a a a)| a)|)) (not (forall ((ii |u_(-> a a a)|)) (= (ho_7 v ii) (ite (= k_5 ii) skv_11 (ho_7 skv_26 ii))) )) ) 21.74/21.93 ( skv_682 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a)|)) (not (forall ((ii a)) (= (ho_9 v ii) (ite (= ii skv_12) (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) (ho_9 (ho_6 k_5 skv_12) ii))) )) ) 21.74/21.93 ( skv_683 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a a)|)) (not (forall ((ii a)) (= (ho_6 v ii) (ite (= ii skv_12) (ho_6 skv_18 skv_12) (ho_6 k_5 ii))) )) ) 21.74/21.93 ( skv_684 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a Bool)|)) (not (forall ((ii a)) (= (ho_4 v ii) (ite (= ii skv_12) (= skv_10 skv_20) (ho_4 (ho_3 skv_10 skv_11) ii))) )) ) 21.74/21.93 ( skv_685 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a Bool)|)) (not (forall ((ii a)) (= (ho_3 v ii) (ite (= ii skv_11) skv_19 (ho_3 skv_10 ii))) )) ) 21.74/21.93 ( skv_686 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_6 k_5 z) (ho_6 skv_201 z)) ) 21.74/21.93 ( skv_687 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z |u_(-> a a a)|)) (= (ho_7 skv_96 z) (ho_7 skv_137 z)) ) 21.74/21.93 ( skv_688 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_9 (ho_6 skv_18 skv_12) z) (ho_9 termITE_25 z)) ) 21.74/21.93 ( skv_689 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_3 skv_10 z) (ho_3 skv_330 z)) ) 21.74/21.93 ( skv_690 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> |u_(-> a a a)| a)|)) (not (forall ((ii |u_(-> a a a)|)) (= (ho_7 v ii) (ite (= k_8 ii) skv_11 (ho_7 skv_26 ii))) )) ) 21.74/21.93 ( skv_791 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a)|)) (not (forall ((ii a)) (= (ho_9 v ii) (ite (= ii skv_11) (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) (ho_9 (ho_6 k_5 skv_12) ii))) )) ) 21.74/21.93 ( skv_792 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a a)|)) (not (forall ((ii a)) (= (ho_6 v ii) (ite (= ii skv_11) (ho_6 skv_18 skv_12) (ho_6 k_5 ii))) )) ) 21.74/21.93 ( skv_793 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a Bool)|)) (not (forall ((ii a)) (= (ho_4 v ii) (ite (= ii skv_12) (= |e_|u_(-> a a)|_15| termITE_25) (ho_4 (ho_3 skv_10 skv_11) ii))) )) ) 21.74/21.93 ( skv_794 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((v |u_(-> a a Bool)|)) (not (forall ((ii a)) (= (ho_3 v ii) (ite (= ii (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)) skv_19 (ho_3 skv_10 ii))) )) ) 21.74/21.93 ( skv_795 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_6 k_8 z) (ho_6 skv_201 z)) ) 21.74/21.93 ( skv_796 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z |u_(-> a a a)|)) (= (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| z) (ho_7 skv_199 z)) ) 21.74/21.93 ( skv_797 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_9 skv_17 z) (ho_9 termITE_25 z)) ) 21.74/21.93 ( skv_798 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((z a)) (= (ho_3 skv_20 z) (ho_3 skv_330 z)) ) 21.74/21.93 ( skv_799 ) 21.74/21.93 ) 21.74/21.93 (skolem (forall ((BOUND_VARIABLE_373 |u_(-> |u_(-> a a a)| a)|)) (not (ho_4 (ho_3 skv_10 (ho_7 BOUND_VARIABLE_373 k_8)) (ho_7 BOUND_VARIABLE_373 k_5))) ) 21.74/21.93 ( skv_852 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((BOUND_VARIABLE_333 a) (BOUND_VARIABLE_334 a)) (= BOUND_VARIABLE_333 (ho_9 (ho_6 k_8 BOUND_VARIABLE_333) BOUND_VARIABLE_334)) ) 21.74/21.93 ( skv_11, skv_11 ) 21.74/21.93 ( skv_11, skv_12 ) 21.74/21.93 ( skv_11, skv_413 ) 21.74/21.93 ( skv_11, skv_501 ) 21.74/21.93 ( skv_11, skv_589 ) 21.74/21.93 ( skv_11, skv_689 ) 21.74/21.93 ( skv_11, skv_798 ) 21.74/21.93 ( skv_12, skv_11 ) 21.74/21.93 ( skv_12, skv_12 ) 21.74/21.93 ( skv_12, (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( skv_12, (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_12, skv_34 ) 21.74/21.93 ( skv_12, skv_64 ) 21.74/21.93 ( skv_12, skv_103 ) 21.74/21.93 ( skv_12, skv_143 ) 21.74/21.93 ( skv_12, skv_145 ) 21.74/21.93 ( skv_12, termITE_179 ) 21.74/21.93 ( skv_12, skv_206 ) 21.74/21.93 ( skv_12, skv_333 ) 21.74/21.93 ( skv_12, skv_589 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5), skv_11 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5), skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5), (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32), skv_11 ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32), skv_12 ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32), (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( skv_34, skv_11 ) 21.74/21.93 ( skv_34, skv_12 ) 21.74/21.93 ( skv_34, (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((BOUND_VARIABLE_327 a) (BOUND_VARIABLE_328 a)) (= BOUND_VARIABLE_328 (ho_9 (ho_6 k_5 BOUND_VARIABLE_327) BOUND_VARIABLE_328)) ) 21.74/21.93 ( skv_11, skv_11 ) 21.74/21.93 ( skv_11, skv_12 ) 21.74/21.93 ( skv_11, (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_11, skv_34 ) 21.74/21.93 ( skv_11, termITE_122 ) 21.74/21.93 ( skv_11, skv_143 ) 21.74/21.93 ( skv_11, skv_145 ) 21.74/21.93 ( skv_11, termITE_179 ) 21.74/21.93 ( skv_11, skv_206 ) 21.74/21.93 ( skv_11, skv_333 ) 21.74/21.93 ( skv_11, skv_413 ) 21.74/21.93 ( skv_11, skv_501 ) 21.74/21.93 ( skv_12, skv_11 ) 21.74/21.93 ( skv_12, skv_12 ) 21.74/21.93 ( skv_12, (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( skv_12, skv_32 ) 21.74/21.93 ( skv_12, (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_12, skv_34 ) 21.74/21.93 ( skv_12, skv_64 ) 21.74/21.93 ( skv_12, termITE_122 ) 21.74/21.93 ( skv_12, skv_143 ) 21.74/21.93 ( skv_12, skv_145 ) 21.74/21.93 ( skv_12, termITE_179 ) 21.74/21.93 ( skv_12, skv_206 ) 21.74/21.93 ( skv_12, skv_333 ) 21.74/21.93 ( skv_12, skv_413 ) 21.74/21.93 ( skv_12, skv_501 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5), skv_11 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5), skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5), (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5), termITE_179 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5), skv_206 ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32), skv_11 ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32), skv_12 ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32), (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( skv_34, skv_11 ) 21.74/21.93 ( skv_34, skv_12 ) 21.74/21.93 ( skv_34, (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((x |u_(-> |u_(-> a a a)| a)|) (y |u_(-> |u_(-> a a a)| a)|)) (or (not (forall ((z |u_(-> a a a)|)) (= (ho_7 x z) (ho_7 y z)) )) (= x y)) ) 21.74/21.93 ( |e_|u_(-> |u_(-> a a a)| a)|_13|, |e_|u_(-> |u_(-> a a a)| a)|_13| ) 21.74/21.93 ( |e_|u_(-> |u_(-> a a a)| a)|_13|, skv_16 ) 21.74/21.93 ( |e_|u_(-> |u_(-> a a a)| a)|_13|, skv_26 ) 21.74/21.93 ( |e_|u_(-> |u_(-> a a a)| a)|_13|, skv_57 ) 21.74/21.93 ( |e_|u_(-> |u_(-> a a a)| a)|_13|, skv_96 ) 21.74/21.93 ( |e_|u_(-> |u_(-> a a a)| a)|_13|, skv_137 ) 21.74/21.93 ( |e_|u_(-> |u_(-> a a a)| a)|_13|, skv_199 ) 21.74/21.93 ( skv_16, |e_|u_(-> |u_(-> a a a)| a)|_13| ) 21.74/21.93 ( skv_16, skv_26 ) 21.74/21.93 ( skv_16, skv_96 ) 21.74/21.93 ( skv_16, skv_137 ) 21.74/21.93 ( skv_26, |e_|u_(-> |u_(-> a a a)| a)|_13| ) 21.74/21.93 ( skv_26, skv_96 ) 21.74/21.93 ( skv_26, skv_137 ) 21.74/21.93 ( skv_96, |e_|u_(-> |u_(-> a a a)| a)|_13| ) 21.74/21.93 ( skv_96, skv_16 ) 21.74/21.93 ( skv_96, skv_26 ) 21.74/21.93 ( skv_96, skv_137 ) 21.74/21.93 ( skv_137, |e_|u_(-> |u_(-> a a a)| a)|_13| ) 21.74/21.93 ( skv_137, skv_26 ) 21.74/21.93 ( skv_137, skv_96 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((x |u_(-> a a)|) (y |u_(-> a a)|)) (or (not (forall ((z a)) (= (ho_9 x z) (ho_9 y z)) )) (= x y)) ) 21.74/21.93 ( |e_|u_(-> a a)|_15|, |e_|u_(-> a a)|_15| ) 21.74/21.93 ( (ho_6 k_5 skv_12), (ho_6 k_8 skv_12) ) 21.74/21.93 ( (ho_6 k_5 skv_12), skv_17 ) 21.74/21.93 ( (ho_6 k_5 skv_12), (ho_6 skv_18 skv_12) ) 21.74/21.93 ( (ho_6 k_5 skv_12), termITE_25 ) 21.74/21.93 ( (ho_6 k_5 skv_12), skv_27 ) 21.74/21.93 ( (ho_6 k_5 skv_12), (ho_6 k_8 skv_11) ) 21.74/21.93 ( (ho_6 k_8 skv_12), (ho_6 k_5 skv_12) ) 21.74/21.93 ( (ho_6 k_8 skv_12), skv_17 ) 21.74/21.93 ( (ho_6 k_8 skv_12), (ho_6 skv_18 skv_12) ) 21.74/21.93 ( (ho_6 k_8 skv_12), termITE_25 ) 21.74/21.93 ( skv_17, (ho_6 k_5 skv_12) ) 21.74/21.93 ( skv_17, (ho_6 k_8 skv_12) ) 21.74/21.93 ( skv_17, (ho_6 skv_18 skv_12) ) 21.74/21.93 ( skv_17, termITE_25 ) 21.74/21.93 ( (ho_6 skv_18 skv_12), (ho_6 k_5 skv_12) ) 21.74/21.93 ( (ho_6 skv_18 skv_12), (ho_6 k_8 skv_12) ) 21.74/21.93 ( (ho_6 skv_18 skv_12), skv_17 ) 21.74/21.93 ( (ho_6 skv_18 skv_12), termITE_25 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((x |u_(-> a a a)|) (y |u_(-> a a a)|)) (or (not (forall ((z a)) (= (ho_6 x z) (ho_6 y z)) )) (= x y)) ) 21.74/21.93 ( k_5, k_8 ) 21.74/21.93 ( k_5, skv_18 ) 21.74/21.93 ( k_5, skv_98 ) 21.74/21.93 ( k_5, skv_139 ) 21.74/21.93 ( k_5, skv_201 ) 21.74/21.93 ( k_8, k_5 ) 21.74/21.93 ( k_8, skv_18 ) 21.74/21.93 ( k_8, skv_98 ) 21.74/21.93 ( k_8, skv_139 ) 21.74/21.93 ( k_8, skv_201 ) 21.74/21.93 ( |e_|u_(-> a a a)|_14|, |e_|u_(-> a a a)|_14| ) 21.74/21.93 ( skv_18, k_5 ) 21.74/21.93 ( skv_18, k_8 ) 21.74/21.93 ( skv_18, skv_98 ) 21.74/21.93 ( skv_18, skv_139 ) 21.74/21.93 ( skv_98, k_5 ) 21.74/21.93 ( skv_98, k_8 ) 21.74/21.93 ( skv_98, skv_18 ) 21.74/21.93 ( skv_98, skv_139 ) 21.74/21.93 ( skv_139, k_5 ) 21.74/21.93 ( skv_139, k_8 ) 21.74/21.93 ( skv_139, skv_18 ) 21.74/21.93 ( skv_139, skv_98 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((x |u_(-> a Bool)|) (y |u_(-> a Bool)|)) (or (not (forall ((z a)) (= (ho_4 x z) (ho_4 y z)) )) (= x y)) ) 21.74/21.93 ( (ho_3 skv_10 skv_11), (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) ) 21.74/21.93 ( (ho_3 skv_10 skv_11), skv_19 ) 21.74/21.93 ( (ho_3 skv_10 skv_11), skv_29 ) 21.74/21.93 ( (ho_3 skv_10 skv_11), termITE_52 ) 21.74/21.93 ( (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)), (ho_3 skv_10 skv_11) ) 21.74/21.93 ( (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)), skv_19 ) 21.74/21.93 ( (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)), termITE_52 ) 21.74/21.93 ( skv_19, (ho_3 skv_10 skv_11) ) 21.74/21.93 ( skv_19, (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) ) 21.74/21.93 ( skv_19, termITE_52 ) 21.74/21.93 ( termITE_52, (ho_3 skv_10 skv_11) ) 21.74/21.93 ( termITE_52, (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((x |u_(-> a a Bool)|) (y |u_(-> a a Bool)|)) (or (not (forall ((z a)) (= (ho_3 x z) (ho_3 y z)) )) (= x y)) ) 21.74/21.93 ( skv_10, skv_20 ) 21.74/21.93 ( skv_10, skv_30 ) 21.74/21.93 ( skv_10, skv_61 ) 21.74/21.93 ( skv_10, skv_100 ) 21.74/21.93 ( skv_10, skv_141 ) 21.74/21.93 ( skv_10, skv_203 ) 21.74/21.93 ( skv_10, skv_263 ) 21.74/21.93 ( skv_10, skv_330 ) 21.74/21.93 ( skv_20, skv_10 ) 21.74/21.93 ( skv_20, skv_100 ) 21.74/21.93 ( skv_20, skv_141 ) 21.74/21.93 ( skv_20, skv_203 ) 21.74/21.93 ( skv_20, skv_330 ) 21.74/21.93 ( skv_100, skv_10 ) 21.74/21.93 ( skv_100, skv_20 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((u |u_(-> |u_(-> a a a)| a)|) (e a) (i |u_(-> a a a)|)) (not (forall ((v |u_(-> |u_(-> a a a)| a)|)) (not (forall ((ii |u_(-> a a a)|)) (= (ho_7 v ii) (ite (= i ii) e (ho_7 u ii))) )) )) ) 21.74/21.93 ( |e_|u_(-> |u_(-> a a a)| a)|_13|, skv_11, k_5 ) 21.74/21.93 ( |e_|u_(-> |u_(-> a a a)| a)|_13|, skv_11, k_8 ) 21.74/21.93 ( |e_|u_(-> |u_(-> a a a)| a)|_13|, skv_12, k_5 ) 21.74/21.93 ( |e_|u_(-> |u_(-> a a a)| a)|_13|, skv_12, k_8 ) 21.74/21.93 ( |e_|u_(-> |u_(-> a a a)| a)|_13|, skv_12, |e_|u_(-> a a a)|_14| ) 21.74/21.93 ( skv_16, skv_11, k_5 ) 21.74/21.93 ( skv_16, skv_11, k_8 ) 21.74/21.93 ( skv_16, skv_12, k_5 ) 21.74/21.93 ( skv_16, skv_12, k_8 ) 21.74/21.93 ( skv_26, skv_11, k_5 ) 21.74/21.93 ( skv_26, skv_11, k_8 ) 21.74/21.93 ( skv_26, skv_12, k_5 ) 21.74/21.93 ( skv_26, skv_12, k_8 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((u |u_(-> a a)|) (e a) (i a)) (not (forall ((v |u_(-> a a)|)) (not (forall ((ii a)) (= (ho_9 v ii) (ite (= i ii) e (ho_9 u ii))) )) )) ) 21.74/21.93 ( |e_|u_(-> a a)|_15|, skv_12, skv_12 ) 21.74/21.93 ( (ho_6 k_5 skv_12), skv_11, skv_11 ) 21.74/21.93 ( (ho_6 k_5 skv_12), skv_11, skv_12 ) 21.74/21.93 ( (ho_6 k_5 skv_12), skv_11, (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_6 k_5 skv_12), skv_12, skv_11 ) 21.74/21.93 ( (ho_6 k_5 skv_12), skv_12, skv_12 ) 21.74/21.93 ( (ho_6 k_5 skv_12), skv_12, (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_6 k_5 skv_12), (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5), skv_11 ) 21.74/21.93 ( (ho_6 k_5 skv_12), (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5), skv_12 ) 21.74/21.93 ( (ho_6 k_8 skv_12), skv_11, skv_11 ) 21.74/21.93 ( (ho_6 k_8 skv_12), skv_11, skv_12 ) 21.74/21.93 ( (ho_6 k_8 skv_12), skv_12, skv_11 ) 21.74/21.93 ( (ho_6 k_8 skv_12), skv_12, skv_12 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((u |u_(-> a a a)|) (e |u_(-> a a)|) (i a)) (not (forall ((v |u_(-> a a a)|)) (not (forall ((ii a)) (= (ho_6 v ii) (ite (= i ii) e (ho_6 u ii))) )) )) ) 21.74/21.93 ( k_5, (ho_6 k_5 skv_12), skv_11 ) 21.74/21.93 ( k_5, (ho_6 k_5 skv_12), skv_12 ) 21.74/21.93 ( k_5, (ho_6 k_5 skv_12), (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( k_5, (ho_6 k_8 skv_12), skv_11 ) 21.74/21.93 ( k_5, (ho_6 k_8 skv_12), skv_12 ) 21.74/21.93 ( k_5, (ho_6 k_8 skv_12), (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( k_5, (ho_6 skv_18 skv_12), skv_11 ) 21.74/21.93 ( k_5, (ho_6 skv_18 skv_12), skv_12 ) 21.74/21.93 ( k_8, (ho_6 k_5 skv_12), skv_11 ) 21.74/21.93 ( k_8, (ho_6 k_5 skv_12), skv_12 ) 21.74/21.93 ( k_8, (ho_6 k_8 skv_12), skv_11 ) 21.74/21.93 ( k_8, (ho_6 k_8 skv_12), skv_12 ) 21.74/21.93 ( |e_|u_(-> a a a)|_14|, |e_|u_(-> a a)|_15|, skv_12 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((u |u_(-> a Bool)|) (e Bool) (i a)) (not (forall ((v |u_(-> a Bool)|)) (not (forall ((ii a)) (= (ho_4 v ii) (ite (= i ii) e (ho_4 u ii))) )) )) ) 21.74/21.93 ( (ho_3 skv_10 skv_11), false, skv_12 ) 21.74/21.93 ( (ho_3 skv_10 skv_11), (ho_4 (ho_3 skv_10 skv_11) skv_12), skv_11 ) 21.74/21.93 ( (ho_3 skv_10 skv_11), (ho_4 (ho_3 skv_10 skv_11) skv_12), skv_12 ) 21.74/21.93 ( (ho_3 skv_10 skv_11), (ho_4 (ho_3 skv_10 skv_11) skv_12), (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_3 skv_10 skv_11), (ho_4 (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)), skv_11 ) 21.74/21.93 ( (ho_3 skv_10 skv_11), (ho_4 (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)), skv_12 ) 21.74/21.93 ( (ho_3 skv_10 skv_11), (ho_4 (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)), (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_3 skv_10 skv_11), (= skv_10 skv_20), skv_12 ) 21.74/21.93 ( (ho_3 skv_10 skv_11), (= |e_|u_(-> a a)|_15| termITE_25), skv_12 ) 21.74/21.93 ( (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)), (ho_4 (ho_3 skv_10 skv_11) skv_12), skv_11 ) 21.74/21.93 ( (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)), (ho_4 (ho_3 skv_10 skv_11) skv_12), skv_12 ) 21.74/21.93 ( (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)), (ho_4 (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)), skv_11 ) 21.74/21.93 ( (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)), (ho_4 (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)), skv_12 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((u |u_(-> a a Bool)|) (e |u_(-> a Bool)|) (i a)) (not (forall ((v |u_(-> a a Bool)|)) (not (forall ((ii a)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii))) )) )) ) 21.74/21.93 ( skv_10, (ho_3 skv_10 skv_11), skv_11 ) 21.74/21.93 ( skv_10, (ho_3 skv_10 skv_11), skv_12 ) 21.74/21.93 ( skv_10, (ho_3 skv_10 skv_11), (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( skv_10, (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)), skv_11 ) 21.74/21.93 ( skv_10, (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)), skv_12 ) 21.74/21.93 ( skv_10, (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)), (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( skv_10, skv_19, skv_11 ) 21.74/21.93 ( skv_10, skv_19, skv_12 ) 21.74/21.93 ( skv_10, skv_19, (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( skv_20, (ho_3 skv_10 skv_11), skv_11 ) 21.74/21.93 ( skv_20, (ho_3 skv_10 skv_11), skv_12 ) 21.74/21.93 ( skv_20, (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)), skv_11 ) 21.74/21.93 ( skv_20, (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)), skv_12 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((BOUND_VARIABLE_373 |u_(-> |u_(-> a a a)| a)|)) (not (ho_4 (ho_3 skv_10 (ho_7 BOUND_VARIABLE_373 k_8)) (ho_7 BOUND_VARIABLE_373 k_5))) ) 21.74/21.93 ( |e_|u_(-> |u_(-> a a a)| a)|_13| ) 21.74/21.93 ( skv_16 ) 21.74/21.93 ( skv_96 ) 21.74/21.93 ( skv_406 ) 21.74/21.93 ( skv_791 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((Xx a) (Xy a)) (not (ho_4 (ho_3 skv_10 Xx) Xy)) ) 21.74/21.93 ( (ho_7 skv_852 k_8), (ho_7 skv_852 k_5) ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii |u_(-> a a a)|)) (= (ite (= ii |e_|u_(-> a a a)|_14|) skv_12 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| ii)) (ho_7 skv_16 ii)) ) 21.74/21.93 ( k_5 ) 21.74/21.93 ( k_8 ) 21.74/21.93 ( skv_18 ) 21.74/21.93 ( skv_28 ) 21.74/21.93 ( skv_31 ) 21.74/21.93 ( skv_59 ) 21.74/21.93 ( skv_63 ) 21.74/21.93 ( skv_98 ) 21.74/21.93 ( skv_102 ) 21.74/21.93 ( skv_139 ) 21.74/21.93 ( skv_142 ) 21.74/21.93 ( skv_201 ) 21.74/21.93 ( skv_205 ) 21.74/21.93 ( skv_261 ) 21.74/21.93 ( skv_264 ) 21.74/21.93 ( skv_328 ) 21.74/21.93 ( skv_332 ) 21.74/21.93 ( skv_408 ) 21.74/21.93 ( skv_412 ) 21.74/21.93 ( skv_497 ) 21.74/21.93 ( skv_585 ) 21.74/21.93 ( skv_684 ) 21.74/21.93 ( skv_797 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_12) skv_12 (ho_9 |e_|u_(-> a a)|_15| ii)) (ho_9 skv_17 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( skv_32 ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( termITE_85 ) 21.74/21.93 ( skv_103 ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_143 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( (ho_9 skv_17 skv_206) ) 21.74/21.93 ( skv_265 ) 21.74/21.93 ( skv_689 ) 21.74/21.93 ( skv_798 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_12) |e_|u_(-> a a)|_15| (ho_6 |e_|u_(-> a a a)|_14| ii)) (ho_6 skv_18 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( termITE_24 ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_33 ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_62 ) 21.74/21.93 ( termITE_85 ) 21.74/21.93 ( skv_101 ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_144 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_204 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_266 ) 21.74/21.93 ( skv_331 ) 21.74/21.93 ( skv_502 ) 21.74/21.93 ( skv_687 ) 21.74/21.93 ( skv_796 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ho_4 skv_19 ii) (ite (= ii skv_12) false (ho_4 (ho_3 skv_10 skv_11) ii))) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( termITE_24 ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( termITE_50 ) 21.74/21.93 ( termITE_85 ) 21.74/21.93 ( skv_104 ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_334 ) 21.74/21.93 ( skv_414 ) 21.74/21.93 ( skv_503 ) 21.74/21.93 ( skv_591 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_12) (ho_3 skv_10 skv_11) (ho_3 skv_10 ii)) (ho_3 skv_20 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8) ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( termITE_24 ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_35 ) 21.74/21.93 ( skv_65 ) 21.74/21.93 ( termITE_85 ) 21.74/21.93 ( skv_105 ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( skv_146 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_207 ) 21.74/21.93 ( skv_267 ) 21.74/21.93 ( skv_335 ) 21.74/21.93 ( skv_415 ) 21.74/21.93 ( skv_504 ) 21.74/21.93 ( skv_592 ) 21.74/21.93 ( skv_690 ) 21.74/21.93 ( skv_799 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((z |u_(-> a a a)|)) (= (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| z) (ho_7 skv_16 z)) ) 21.74/21.93 ( skv_408 ) 21.74/21.93 ( skv_497 ) 21.74/21.93 ( skv_585 ) 21.74/21.93 ( skv_684 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii |u_(-> a a a)|)) (= (ite (= k_5 ii) skv_12 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| ii)) (ho_7 skv_26 ii)) ) 21.74/21.93 ( k_5 ) 21.74/21.93 ( k_8 ) 21.74/21.93 ( skv_18 ) 21.74/21.93 ( skv_28 ) 21.74/21.93 ( skv_31 ) 21.74/21.93 ( skv_59 ) 21.74/21.93 ( skv_63 ) 21.74/21.93 ( skv_98 ) 21.74/21.93 ( skv_102 ) 21.74/21.93 ( skv_139 ) 21.74/21.93 ( skv_142 ) 21.74/21.93 ( skv_201 ) 21.74/21.93 ( skv_205 ) 21.74/21.93 ( skv_261 ) 21.74/21.93 ( skv_264 ) 21.74/21.93 ( skv_328 ) 21.74/21.93 ( skv_332 ) 21.74/21.93 ( skv_408 ) 21.74/21.93 ( skv_412 ) 21.74/21.93 ( skv_497 ) 21.74/21.93 ( skv_500 ) 21.74/21.93 ( skv_585 ) 21.74/21.93 ( skv_588 ) 21.74/21.93 ( skv_684 ) 21.74/21.93 ( skv_797 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_12) skv_12 (ho_9 (ho_6 k_5 skv_12) ii)) (ho_9 skv_27 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( termITE_24 ) 21.74/21.93 ( skv_32 ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_64 ) 21.74/21.93 ( termITE_85 ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_143 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_333 ) 21.74/21.93 ( skv_413 ) 21.74/21.93 ( skv_501 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_12) (ho_6 k_5 skv_12) (ho_6 k_5 ii)) (ho_6 skv_28 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( termITE_24 ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_33 ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_62 ) 21.74/21.93 ( termITE_85 ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_144 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_331 ) 21.74/21.93 ( skv_687 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (let ((_let_0 (ho_3 skv_10 skv_11))) (= (ho_4 skv_29 ii) (ite (= ii skv_12) (ho_4 _let_0 skv_12) (ho_4 _let_0 ii)))) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( termITE_24 ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( termITE_50 ) 21.74/21.93 ( termITE_85 ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_334 ) 21.74/21.93 ( skv_414 ) 21.74/21.93 ( skv_503 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_11) (ho_3 skv_10 skv_11) (ho_3 skv_10 ii)) (ho_3 skv_30 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8) ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( termITE_24 ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_35 ) 21.74/21.93 ( skv_65 ) 21.74/21.93 ( termITE_85 ) 21.74/21.93 ( skv_105 ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( skv_146 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_267 ) 21.74/21.93 ( skv_415 ) 21.74/21.93 ( skv_592 ) 21.74/21.93 ( skv_690 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((z a)) (= (ho_3 skv_10 z) (ho_3 skv_30 z)) ) 21.74/21.93 ( termITE_24 ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( termITE_85 ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii |u_(-> a a a)|)) (= (ite (= k_8 ii) skv_12 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| ii)) (ho_7 skv_57 ii)) ) 21.74/21.93 ( k_5 ) 21.74/21.93 ( k_8 ) 21.74/21.93 ( skv_18 ) 21.74/21.93 ( skv_59 ) 21.74/21.93 ( skv_63 ) 21.74/21.93 ( skv_98 ) 21.74/21.93 ( skv_139 ) 21.74/21.93 ( skv_142 ) 21.74/21.93 ( skv_201 ) 21.74/21.93 ( skv_205 ) 21.74/21.93 ( skv_261 ) 21.74/21.93 ( skv_328 ) 21.74/21.93 ( skv_332 ) 21.74/21.93 ( skv_408 ) 21.74/21.93 ( skv_497 ) 21.74/21.93 ( skv_585 ) 21.74/21.93 ( skv_684 ) 21.74/21.93 ( skv_797 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_11) skv_12 (ho_9 (ho_6 k_5 skv_12) ii)) (ho_9 skv_58 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( termITE_24 ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_64 ) 21.74/21.93 ( termITE_85 ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_143 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_333 ) 21.74/21.93 ( skv_413 ) 21.74/21.93 ( skv_501 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_11) (ho_6 k_5 skv_12) (ho_6 k_5 ii)) (ho_6 skv_59 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( termITE_24 ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_62 ) 21.74/21.93 ( termITE_85 ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_144 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_204 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_331 ) 21.74/21.93 ( skv_687 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (let ((_let_0 (ho_3 skv_10 skv_11))) (= (ho_4 skv_60 ii) (ite (= ii skv_11) (ho_4 _let_0 skv_12) (ho_4 _let_0 ii)))) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( termITE_24 ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( termITE_50 ) 21.74/21.93 ( termITE_85 ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_334 ) 21.74/21.93 ( skv_414 ) 21.74/21.93 ( skv_503 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_12) (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) (ho_3 skv_10 ii)) (ho_3 skv_61 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8) ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( termITE_24 ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_65 ) 21.74/21.93 ( termITE_85 ) 21.74/21.93 ( skv_105 ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( skv_146 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_267 ) 21.74/21.93 ( skv_415 ) 21.74/21.93 ( skv_592 ) 21.74/21.93 ( skv_690 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((z |u_(-> a a a)|)) (= (ho_7 skv_16 z) (ho_7 skv_26 z)) ) 21.74/21.93 ( skv_98 ) 21.74/21.93 ( skv_139 ) 21.74/21.93 ( skv_201 ) 21.74/21.93 ( skv_261 ) 21.74/21.93 ( skv_328 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((z a)) (= (ho_3 skv_10 z) (ho_3 skv_61 z)) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( termITE_85 ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii |u_(-> a a a)|)) (= (ite (= k_5 ii) skv_11 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| ii)) (ho_7 skv_96 ii)) ) 21.74/21.93 ( k_5 ) 21.74/21.93 ( k_8 ) 21.74/21.93 ( skv_18 ) 21.74/21.93 ( skv_98 ) 21.74/21.93 ( skv_139 ) 21.74/21.93 ( skv_142 ) 21.74/21.93 ( skv_201 ) 21.74/21.93 ( skv_205 ) 21.74/21.93 ( skv_261 ) 21.74/21.93 ( skv_264 ) 21.74/21.93 ( skv_328 ) 21.74/21.93 ( skv_332 ) 21.74/21.93 ( skv_408 ) 21.74/21.93 ( skv_497 ) 21.74/21.93 ( skv_500 ) 21.74/21.93 ( skv_585 ) 21.74/21.93 ( skv_684 ) 21.74/21.93 ( skv_688 ) 21.74/21.93 ( skv_797 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_12) skv_11 (ho_9 (ho_6 k_5 skv_12) ii)) (ho_9 skv_97 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( termITE_85 ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_143 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_333 ) 21.74/21.93 ( skv_413 ) 21.74/21.93 ( skv_501 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_12) (ho_6 k_8 skv_12) (ho_6 k_5 ii)) (ho_6 skv_98 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( termITE_85 ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_144 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_204 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_266 ) 21.74/21.93 ( skv_331 ) 21.74/21.93 ( skv_590 ) 21.74/21.93 ( skv_687 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ho_4 skv_99 ii) (ite (= ii skv_12) (ho_4 (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)) (ho_4 (ho_3 skv_10 skv_11) ii))) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( termITE_50 ) 21.74/21.93 ( termITE_85 ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_334 ) 21.74/21.93 ( skv_414 ) 21.74/21.93 ( skv_503 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_11) (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) (ho_3 skv_10 ii)) (ho_3 skv_100 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8) ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( termITE_85 ) 21.74/21.93 ( skv_105 ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( skv_146 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_207 ) 21.74/21.93 ( skv_267 ) 21.74/21.93 ( skv_415 ) 21.74/21.93 ( skv_592 ) 21.74/21.93 ( skv_690 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((z |u_(-> a a a)|)) (= (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| z) (ho_7 skv_57 z)) ) 21.74/21.93 ( skv_139 ) 21.74/21.93 ( skv_201 ) 21.74/21.93 ( skv_261 ) 21.74/21.93 ( skv_328 ) 21.74/21.93 ( skv_408 ) 21.74/21.93 ( skv_497 ) 21.74/21.93 ( skv_585 ) 21.74/21.93 ( skv_684 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii |u_(-> a a a)|)) (= (ite (= k_8 ii) skv_11 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| ii)) (ho_7 skv_137 ii)) ) 21.74/21.93 ( k_5 ) 21.74/21.93 ( k_8 ) 21.74/21.93 ( skv_18 ) 21.74/21.93 ( skv_98 ) 21.74/21.93 ( skv_139 ) 21.74/21.93 ( skv_142 ) 21.74/21.93 ( skv_201 ) 21.74/21.93 ( skv_205 ) 21.74/21.93 ( skv_261 ) 21.74/21.93 ( skv_328 ) 21.74/21.93 ( skv_332 ) 21.74/21.93 ( skv_408 ) 21.74/21.93 ( skv_412 ) 21.74/21.93 ( skv_497 ) 21.74/21.93 ( skv_585 ) 21.74/21.93 ( skv_588 ) 21.74/21.93 ( skv_684 ) 21.74/21.93 ( skv_688 ) 21.74/21.93 ( skv_797 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_11) skv_11 (ho_9 (ho_6 k_5 skv_12) ii)) (ho_9 skv_138 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( termITE_85 ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_143 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_333 ) 21.74/21.93 ( skv_413 ) 21.74/21.93 ( skv_501 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_11) (ho_6 k_8 skv_12) (ho_6 k_5 ii)) (ho_6 skv_139 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( termITE_85 ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_144 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_204 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_331 ) 21.74/21.93 ( skv_411 ) 21.74/21.93 ( skv_502 ) 21.74/21.93 ( skv_590 ) 21.74/21.93 ( skv_687 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ho_4 skv_140 ii) (ite (= ii skv_11) (ho_4 (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)) (ho_4 (ho_3 skv_10 skv_11) ii))) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( termITE_50 ) 21.74/21.93 ( termITE_85 ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_334 ) 21.74/21.93 ( skv_414 ) 21.74/21.93 ( skv_503 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_12) (ho_3 skv_10 skv_11) (ho_3 skv_20 ii)) (ho_3 skv_141 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8) ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( termITE_85 ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_207 ) 21.74/21.93 ( skv_267 ) 21.74/21.93 ( skv_335 ) 21.74/21.93 ( skv_504 ) 21.74/21.93 ( skv_799 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii |u_(-> a a a)|)) (= (ite (= k_5 ii) skv_12 (ho_7 skv_16 ii)) (ho_7 skv_199 ii)) ) 21.74/21.93 ( k_5 ) 21.74/21.93 ( k_8 ) 21.74/21.93 ( skv_18 ) 21.74/21.93 ( skv_98 ) 21.74/21.93 ( skv_139 ) 21.74/21.93 ( skv_201 ) 21.74/21.93 ( skv_261 ) 21.74/21.93 ( skv_264 ) 21.74/21.93 ( skv_328 ) 21.74/21.93 ( skv_408 ) 21.74/21.93 ( skv_412 ) 21.74/21.93 ( skv_497 ) 21.74/21.93 ( skv_585 ) 21.74/21.93 ( skv_684 ) 21.74/21.93 ( skv_797 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_12) skv_12 (ho_9 (ho_6 k_8 skv_12) ii)) (ho_9 skv_200 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( (ho_9 skv_17 skv_206) ) 21.74/21.93 ( skv_589 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_12) (ho_6 k_5 skv_12) (ho_6 k_8 ii)) (ho_6 skv_201 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_204 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_411 ) 21.74/21.93 ( skv_687 ) 21.74/21.93 ( skv_796 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ho_4 skv_202 ii) (ite (= ii skv_12) (ho_4 (ho_3 skv_10 skv_11) skv_12) (ho_4 (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) ii))) ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_7 skv_16 k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( (ho_7 skv_96 k_5) ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_334 ) 21.74/21.93 ( skv_414 ) 21.74/21.93 ( skv_503 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_11) (ho_3 skv_10 skv_11) (ho_3 skv_20 ii)) (ho_3 skv_203 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8) ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( termITE_85 ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_207 ) 21.74/21.93 ( skv_335 ) 21.74/21.93 ( skv_415 ) 21.74/21.93 ( skv_504 ) 21.74/21.93 ( skv_799 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii |u_(-> a a a)|)) (= (ite (= k_8 ii) skv_12 (ho_7 skv_16 ii)) (ho_7 skv_259 ii)) ) 21.74/21.93 ( k_5 ) 21.74/21.93 ( k_8 ) 21.74/21.93 ( skv_18 ) 21.74/21.93 ( skv_98 ) 21.74/21.93 ( skv_139 ) 21.74/21.93 ( skv_201 ) 21.74/21.93 ( skv_261 ) 21.74/21.93 ( skv_264 ) 21.74/21.93 ( skv_328 ) 21.74/21.93 ( skv_408 ) 21.74/21.93 ( skv_412 ) 21.74/21.93 ( skv_497 ) 21.74/21.93 ( skv_585 ) 21.74/21.93 ( skv_684 ) 21.74/21.93 ( skv_797 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_11) skv_12 (ho_9 (ho_6 k_8 skv_12) ii)) (ho_9 skv_260 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( (ho_9 skv_17 skv_206) ) 21.74/21.93 ( skv_589 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_11) (ho_6 k_5 skv_12) (ho_6 k_8 ii)) (ho_6 skv_261 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_204 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_411 ) 21.74/21.93 ( skv_687 ) 21.74/21.93 ( skv_796 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ho_4 skv_262 ii) (ite (= ii skv_11) (ho_4 (ho_3 skv_10 skv_11) skv_12) (ho_4 (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) ii))) ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_7 skv_16 k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( (ho_7 skv_96 k_5) ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_334 ) 21.74/21.93 ( skv_414 ) 21.74/21.93 ( skv_503 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_12) (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) (ho_3 skv_20 ii)) (ho_3 skv_263 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8) ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_335 ) 21.74/21.93 ( skv_504 ) 21.74/21.93 ( skv_592 ) 21.74/21.93 ( skv_690 ) 21.74/21.93 ( skv_799 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((z a)) (= (ho_9 (ho_6 k_5 skv_12) z) (ho_9 skv_27 z)) ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((z a)) (= (ho_4 (ho_3 skv_10 skv_11) z) (ho_4 skv_29 z)) ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_503 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((z a)) (= (ho_3 skv_20 z) (ho_3 skv_141 z)) ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii |u_(-> a a a)|)) (= (ite (= k_5 ii) skv_11 (ho_7 skv_16 ii)) (ho_7 skv_326 ii)) ) 21.74/21.93 ( k_5 ) 21.74/21.93 ( k_8 ) 21.74/21.93 ( skv_18 ) 21.74/21.93 ( skv_98 ) 21.74/21.93 ( skv_139 ) 21.74/21.93 ( skv_201 ) 21.74/21.93 ( skv_261 ) 21.74/21.93 ( skv_328 ) 21.74/21.93 ( skv_408 ) 21.74/21.93 ( skv_412 ) 21.74/21.93 ( skv_497 ) 21.74/21.93 ( skv_585 ) 21.74/21.93 ( skv_684 ) 21.74/21.93 ( skv_797 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_12) skv_11 (ho_9 (ho_6 k_8 skv_12) ii)) (ho_9 skv_327 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( (ho_9 skv_17 skv_206) ) 21.74/21.93 ( skv_589 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_12) (ho_6 k_8 skv_12) (ho_6 k_8 ii)) (ho_6 skv_328 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_204 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_411 ) 21.74/21.93 ( skv_687 ) 21.74/21.93 ( skv_796 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (let ((_let_0 (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)))) (= (ho_4 skv_329 ii) (ite (= ii skv_12) (ho_4 _let_0 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)) (ho_4 _let_0 ii)))) ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_7 skv_16 k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( (ho_7 skv_96 k_5) ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_334 ) 21.74/21.93 ( skv_414 ) 21.74/21.93 ( skv_503 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_11) (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) (ho_3 skv_20 ii)) (ho_3 skv_330 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8) ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_335 ) 21.74/21.93 ( skv_504 ) 21.74/21.93 ( skv_690 ) 21.74/21.93 ( skv_799 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii |u_(-> a a a)|)) (= (ite (= k_8 ii) skv_11 (ho_7 skv_16 ii)) (ho_7 skv_406 ii)) ) 21.74/21.93 ( k_5 ) 21.74/21.93 ( k_8 ) 21.74/21.93 ( skv_18 ) 21.74/21.93 ( skv_98 ) 21.74/21.93 ( skv_139 ) 21.74/21.93 ( skv_201 ) 21.74/21.93 ( skv_261 ) 21.74/21.93 ( skv_328 ) 21.74/21.93 ( skv_408 ) 21.74/21.93 ( skv_412 ) 21.74/21.93 ( skv_497 ) 21.74/21.93 ( skv_585 ) 21.74/21.93 ( skv_684 ) 21.74/21.93 ( skv_797 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_11) skv_11 (ho_9 (ho_6 k_8 skv_12) ii)) (ho_9 skv_407 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( (ho_9 skv_17 skv_206) ) 21.74/21.93 ( skv_589 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_11) (ho_6 k_8 skv_12) (ho_6 k_8 ii)) (ho_6 skv_408 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_204 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_411 ) 21.74/21.93 ( skv_687 ) 21.74/21.93 ( skv_796 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (let ((_let_0 (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)))) (= (ho_4 skv_409 ii) (ite (= ii skv_11) (ho_4 _let_0 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)) (ho_4 _let_0 ii)))) ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_7 skv_16 k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( (ho_7 skv_96 k_5) ) 21.74/21.93 ( termITE_121 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_334 ) 21.74/21.93 ( skv_414 ) 21.74/21.93 ( skv_503 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)) (ho_3 skv_10 skv_11) (ho_3 skv_10 ii)) (ho_3 skv_410 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8) ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( termITE_122 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_415 ) 21.74/21.93 ( skv_592 ) 21.74/21.93 ( skv_690 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((z a)) (= (ho_3 skv_20 z) (ho_3 skv_203 z)) ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii |u_(-> a a a)|)) (= (ite (= k_5 ii) skv_12 (ho_7 skv_26 ii)) (ho_7 skv_495 ii)) ) 21.74/21.93 ( k_5 ) 21.74/21.93 ( k_8 ) 21.74/21.93 ( skv_18 ) 21.74/21.93 ( skv_98 ) 21.74/21.93 ( skv_139 ) 21.74/21.93 ( skv_201 ) 21.74/21.93 ( skv_261 ) 21.74/21.93 ( skv_328 ) 21.74/21.93 ( skv_408 ) 21.74/21.93 ( skv_497 ) 21.74/21.93 ( skv_500 ) 21.74/21.93 ( skv_585 ) 21.74/21.93 ( skv_588 ) 21.74/21.93 ( skv_684 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)) skv_12 (ho_9 (ho_6 k_5 skv_12) ii)) (ho_9 skv_496 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_413 ) 21.74/21.93 ( skv_501 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)) (ho_6 k_5 skv_12) (ho_6 k_5 ii)) (ho_6 skv_497 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_204 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_687 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (let ((_let_0 (ho_3 skv_10 skv_11))) (= (ho_4 skv_498 ii) (ite (= ii (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)) (ho_4 _let_0 skv_12) (ho_4 _let_0 ii)))) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_334 ) 21.74/21.93 ( skv_414 ) 21.74/21.93 ( skv_503 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)) (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) (ho_3 skv_10 ii)) (ho_3 skv_499 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8) ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_592 ) 21.74/21.93 ( skv_690 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((z a)) (= (ho_3 skv_10 z) (ho_3 skv_263 z)) ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii |u_(-> a a a)|)) (= (ite (= k_8 ii) skv_12 (ho_7 skv_26 ii)) (ho_7 skv_583 ii)) ) 21.74/21.93 ( k_5 ) 21.74/21.93 ( k_8 ) 21.74/21.93 ( skv_18 ) 21.74/21.93 ( skv_98 ) 21.74/21.93 ( skv_139 ) 21.74/21.93 ( skv_201 ) 21.74/21.93 ( skv_261 ) 21.74/21.93 ( skv_328 ) 21.74/21.93 ( skv_408 ) 21.74/21.93 ( skv_585 ) 21.74/21.93 ( skv_588 ) 21.74/21.93 ( skv_684 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)) skv_11 (ho_9 (ho_6 k_5 skv_12) ii)) (ho_9 skv_584 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)) (ho_6 k_8 skv_12) (ho_6 k_5 ii)) (ho_6 skv_585 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_687 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (let ((_let_0 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5))) (= (ho_4 skv_586 ii) (ite (= ii _let_0) (ho_4 (ho_3 skv_10 (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8)) _let_0) (ho_4 (ho_3 skv_10 skv_11) ii)))) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_334 ) 21.74/21.93 ( skv_414 ) 21.74/21.93 ( skv_503 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_12) skv_19 (ho_3 skv_10 ii)) (ho_3 skv_587 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8) ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( termITE_180 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_592 ) 21.74/21.93 ( skv_690 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii |u_(-> a a a)|)) (= (ite (= k_5 ii) skv_11 (ho_7 skv_26 ii)) (ho_7 skv_682 ii)) ) 21.74/21.93 ( k_5 ) 21.74/21.93 ( k_8 ) 21.74/21.93 ( skv_18 ) 21.74/21.93 ( skv_98 ) 21.74/21.93 ( skv_139 ) 21.74/21.93 ( skv_201 ) 21.74/21.93 ( skv_261 ) 21.74/21.93 ( skv_328 ) 21.74/21.93 ( skv_408 ) 21.74/21.93 ( skv_585 ) 21.74/21.93 ( skv_684 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_12) (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) (ho_9 (ho_6 k_5 skv_12) ii)) (ho_9 skv_683 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_12) (ho_6 skv_18 skv_12) (ho_6 k_5 ii)) (ho_6 skv_684 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_687 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ho_4 skv_685 ii) (ite (= ii skv_12) (= skv_10 skv_20) (ho_4 (ho_3 skv_10 skv_11) ii))) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_334 ) 21.74/21.93 ( skv_414 ) 21.74/21.93 ( skv_503 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_11) skv_19 (ho_3 skv_10 ii)) (ho_3 skv_686 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8) ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_690 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii |u_(-> a a a)|)) (= (ite (= k_8 ii) skv_11 (ho_7 skv_26 ii)) (ho_7 skv_791 ii)) ) 21.74/21.93 ( k_5 ) 21.74/21.93 ( k_8 ) 21.74/21.93 ( skv_18 ) 21.74/21.93 ( skv_98 ) 21.74/21.93 ( skv_139 ) 21.74/21.93 ( skv_201 ) 21.74/21.93 ( skv_261 ) 21.74/21.93 ( skv_328 ) 21.74/21.93 ( skv_408 ) 21.74/21.93 ( skv_585 ) 21.74/21.93 ( skv_684 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_11) (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) (ho_9 (ho_6 k_5 skv_12) ii)) (ho_9 skv_792 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii skv_11) (ho_6 skv_18 skv_12) (ho_6 k_5 ii)) (ho_6 skv_793 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_687 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ho_4 skv_794 ii) (ite (= ii skv_12) (= |e_|u_(-> a a)|_15| termITE_25) (ho_4 (ho_3 skv_10 skv_11) ii))) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( skv_12 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ( skv_334 ) 21.74/21.93 ( skv_414 ) 21.74/21.93 ( skv_503 ) 21.74/21.93 ) 21.74/21.93 (instantiation (forall ((ii a)) (= (ite (= ii (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5)) skv_19 (ho_3 skv_10 ii)) (ho_3 skv_795 ii)) ) 21.74/21.93 ( skv_11 ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_8) ) 21.74/21.93 ( (ho_7 |e_|u_(-> |u_(-> a a a)| a)|_13| k_5) ) 21.74/21.93 ( (ho_9 (ho_6 skv_18 skv_12) skv_32) ) 21.74/21.93 ( skv_34 ) 21.74/21.93 ( skv_145 ) 21.74/21.93 ( termITE_179 ) 21.74/21.93 ( skv_206 ) 21.74/21.93 ) 21.74/21.93 % SZS output end Proof for theBenchmark 21.74/21.94 EOF