0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.11 % Command : do_CVC4 %s %d 0.11/0.30 % Computer : n032.cluster.edu 0.11/0.30 % Model : x86_64 x86_64 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.30 % Memory : 8042.1875MB 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.30 % CPULimit : 960 0.11/0.30 % WCLimit : 120 0.11/0.30 % DateTime : Thu Jul 2 06:59:35 EDT 2020 0.11/0.30 % CPUTime : 0.15/0.38 %----Proving TH0 0.15/0.39 ------- cvc4-thf casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960... 0.15/0.39 --- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20... 20.21/20.42 --- Run --uf-ho --ho-elim --full-saturate-quant at 20... 40.22/40.45 --- Run --uf-ho --ho-elim --finite-model-find --uf-ss=no-minimal at 5... 41.34/41.57 % SZS status Theorem for theBenchmark 41.34/41.57 % SZS output start Proof for theBenchmark 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= c ii) k_4 (ho_8 k_14 ii))) )) ) 41.34/41.57 ( skv_17 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_6 v ii) (ite (= c ii) c (ho_6 |e__u_(-> $$unsorted $$unsorted)__16| ii))) )) ) 41.34/41.57 ( skv_18 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= c ii) false (ho_3 (ho_2 k_4 b) ii))) )) ) 41.34/41.57 ( skv_19 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= c ii) true (ho_3 (ho_2 k_4 b) ii))) )) ) 41.34/41.57 ( skv_20 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= c ii) (ho_2 k_4 b) (ho_2 k_4 ii))) )) ) 41.34/41.57 ( skv_21 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= a ii) k_4 (ho_8 k_14 ii))) )) ) 41.34/41.57 ( skv_25 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= a ii) (ho_8 k_7 c) (ho_8 k_14 ii))) )) ) 41.34/41.57 ( skv_26 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= c ii) (ho_8 k_7 c) (ho_8 k_14 ii))) )) ) 41.34/41.57 ( skv_27 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= a ii) k_4 (ho_8 k_13 ii))) )) ) 41.34/41.57 ( skv_28 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= c ii) k_4 (ho_8 k_13 ii))) )) ) 41.34/41.57 ( skv_29 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= a ii) (ho_8 k_7 c) (ho_8 k_13 ii))) )) ) 41.34/41.57 ( skv_30 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= c ii) (ho_8 k_7 c) (ho_8 k_13 ii))) )) ) 41.34/41.57 ( skv_31 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_6 v ii) (ite (= a ii) a (ho_6 k_5 ii))) )) ) 41.34/41.57 ( skv_32 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_6 v ii) (ite (= c ii) a (ho_6 k_5 ii))) )) ) 41.34/41.57 ( skv_33 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_6 v ii) (ite (= a ii) c (ho_6 k_5 ii))) )) ) 41.34/41.57 ( skv_34 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_6 v ii) (ite (= c ii) c (ho_6 k_5 ii))) )) ) 41.34/41.57 ( skv_35 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= a ii) false (ho_3 (ho_2 k_4 b) ii))) )) ) 41.34/41.57 ( skv_36 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= a ii) true (ho_3 (ho_2 k_4 b) ii))) )) ) 41.34/41.57 ( skv_37 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= a ii) false (ho_3 (ho_2 (ho_8 k_7 c) c) ii))) )) ) 41.34/41.57 ( skv_38 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= c ii) false (ho_3 (ho_2 (ho_8 k_7 c) c) ii))) )) ) 41.34/41.57 ( skv_39 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= a ii) true (ho_3 (ho_2 (ho_8 k_7 c) c) ii))) )) ) 41.34/41.57 ( skv_40 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= c ii) true (ho_3 (ho_2 (ho_8 k_7 c) c) ii))) )) ) 41.34/41.57 ( skv_41 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= a ii) (ho_2 k_4 b) (ho_2 k_4 ii))) )) ) 41.34/41.57 ( skv_42 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= a ii) (ho_2 (ho_8 k_7 c) c) (ho_2 k_4 ii))) )) ) 41.34/41.57 ( skv_43 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= c ii) (ho_2 (ho_8 k_7 c) c) (ho_2 k_4 ii))) )) ) 41.34/41.57 ( skv_44 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= a ii) (ho_2 k_4 b) (ho_2 (ho_8 k_7 c) ii))) )) ) 41.34/41.57 ( skv_45 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= c ii) (ho_2 k_4 b) (ho_2 (ho_8 k_7 c) ii))) )) ) 41.34/41.57 ( skv_46 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (let ((_let_0 (ho_8 k_7 c))) (= (ho_2 v ii) (ite (= a ii) (ho_2 _let_0 c) (ho_2 _let_0 ii)))) )) ) 41.34/41.57 ( skv_47 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (let ((_let_0 (ho_8 k_7 c))) (= (ho_2 v ii) (ite (= c ii) (ho_2 _let_0 c) (ho_2 _let_0 ii)))) )) ) 41.34/41.57 ( skv_48 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((z $$unsorted)) (= (ho_2 k_4 z) (ho_2 (ho_8 k_7 c) z)) ) 41.34/41.57 ( skv_49 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((z $$unsorted)) (= (ho_3 (ho_2 k_4 b) z) (ho_3 (ho_2 (ho_8 k_7 c) c) z)) ) 41.34/41.57 ( skv_50 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((z $$unsorted)) (= (ho_8 k_14 z) (ho_8 k_13 z)) ) 41.34/41.57 ( skv_51 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= b ii) k_4 (ho_8 k_14 ii))) )) ) 41.34/41.57 ( skv_80 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= b ii) (ho_8 k_7 c) (ho_8 k_14 ii))) )) ) 41.34/41.57 ( skv_81 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= b ii) (ho_8 k_13 a) (ho_8 k_14 ii))) )) ) 41.34/41.57 ( skv_82 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= c ii) (ho_8 k_13 a) (ho_8 k_14 ii))) )) ) 41.34/41.57 ( skv_83 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= b ii) k_4 (ho_8 k_13 ii))) )) ) 41.34/41.57 ( skv_84 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= b ii) (ho_8 k_7 c) (ho_8 k_13 ii))) )) ) 41.34/41.57 ( skv_85 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= b ii) (ho_8 k_13 a) (ho_8 k_13 ii))) )) ) 41.34/41.57 ( skv_86 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= c ii) (ho_8 k_13 a) (ho_8 k_13 ii))) )) ) 41.34/41.57 ( skv_87 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= b ii) k_4 (ho_8 skv_17 ii))) )) ) 41.34/41.57 ( skv_88 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= c ii) k_4 (ho_8 skv_17 ii))) )) ) 41.34/41.57 ( skv_89 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= b ii) (ho_8 k_7 c) (ho_8 skv_17 ii))) )) ) 41.34/41.57 ( skv_90 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= c ii) (ho_8 k_7 c) (ho_8 skv_17 ii))) )) ) 41.34/41.57 ( skv_91 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= b ii) (ho_8 k_13 a) (ho_8 skv_17 ii))) )) ) 41.34/41.57 ( skv_92 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= c ii) (ho_8 k_13 a) (ho_8 skv_17 ii))) )) ) 41.34/41.57 ( skv_93 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_6 v ii) (ite (= b ii) b (ho_6 |e__u_(-> $$unsorted $$unsorted)__16| ii))) )) ) 41.34/41.57 ( skv_94 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_6 v ii) (ite (= c ii) b (ho_6 |e__u_(-> $$unsorted $$unsorted)__16| ii))) )) ) 41.34/41.57 ( skv_95 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_6 v ii) (ite (= b ii) c (ho_6 |e__u_(-> $$unsorted $$unsorted)__16| ii))) )) ) 41.34/41.57 ( skv_96 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= b ii) false (ho_3 (ho_2 k_4 b) ii))) )) ) 41.34/41.57 ( skv_97 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= b ii) true (ho_3 (ho_2 k_4 b) ii))) )) ) 41.34/41.57 ( skv_98 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= b ii) false (ho_3 (ho_2 (ho_8 k_7 c) c) ii))) )) ) 41.34/41.57 ( skv_99 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= b ii) true (ho_3 (ho_2 (ho_8 k_7 c) c) ii))) )) ) 41.34/41.57 ( skv_100 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= b ii) (ho_2 k_4 b) (ho_2 k_4 ii))) )) ) 41.34/41.57 ( skv_101 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= b ii) (ho_2 (ho_8 k_7 c) c) (ho_2 k_4 ii))) )) ) 41.34/41.57 ( skv_102 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= b ii) (ho_2 k_4 b) (ho_2 (ho_8 k_7 c) ii))) )) ) 41.34/41.57 ( skv_103 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (let ((_let_0 (ho_8 k_7 c))) (= (ho_2 v ii) (ite (= b ii) (ho_2 _let_0 c) (ho_2 _let_0 ii)))) )) ) 41.34/41.57 ( skv_104 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= b ii) (ho_2 k_4 b) (ho_2 (ho_8 k_13 a) ii))) )) ) 41.34/41.57 ( skv_105 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= c ii) (ho_2 k_4 b) (ho_2 (ho_8 k_13 a) ii))) )) ) 41.34/41.57 ( skv_106 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= b ii) (ho_2 (ho_8 k_7 c) c) (ho_2 (ho_8 k_13 a) ii))) )) ) 41.34/41.57 ( skv_107 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= c ii) (ho_2 (ho_8 k_7 c) c) (ho_2 (ho_8 k_13 a) ii))) )) ) 41.34/41.57 ( skv_108 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((z $$unsorted)) (= (ho_2 k_4 z) (ho_2 (ho_8 k_13 a) z)) ) 41.34/41.57 ( skv_109 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((z $$unsorted)) (= (ho_8 k_13 z) (ho_8 skv_17 z)) ) 41.34/41.57 ( skv_110 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((z $$unsorted)) (= (ho_8 k_14 z) (ho_8 skv_17 z)) ) 41.34/41.57 ( skv_111 ) 41.34/41.57 ) 41.34/41.57 (skolem (forall ((z $$unsorted)) (= (ho_2 (ho_8 k_7 c) z) (ho_2 (ho_8 k_13 a) z)) ) 41.34/41.57 ( skv_112 ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((Xx $$unsorted)) (ho_3 (ho_2 k_1 d) Xx) ) 41.34/41.57 ( c ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (ho_3 (ho_2 (ho_8 k_9 Xx) Xy) Xz)) (not (ho_3 (ho_2 k_4 (ho_6 k_5 Xx)) Xu)) (not (ho_3 (ho_2 k_4 (ho_6 k_5 Xy)) Xv)) (ho_3 (ho_2 (ho_8 k_7 Xu) Xv) Xw) (not (ho_3 (ho_2 k_4 (ho_6 k_5 Xz)) Xw))) ) 41.34/41.57 ( c, c, c, c, c, c ) 41.34/41.57 ( c, c, b, c, c, c ) 41.34/41.57 ( c, c, b, c, c, b ) 41.34/41.57 ( c, c, b, b, c, c ) 41.34/41.57 ( c, c, b, b, c, b ) 41.34/41.57 ( c, c, b, b, b, c ) 41.34/41.57 ( c, c, b, b, b, b ) 41.34/41.57 ( c, c, a, c, c, c ) 41.34/41.57 ( c, c, a, c, c, a ) 41.34/41.57 ( c, c, a, c, a, c ) 41.34/41.57 ( c, c, a, c, a, a ) 41.34/41.57 ( c, b, c, c, c, c ) 41.34/41.57 ( c, b, c, c, c, b ) 41.34/41.57 ( c, b, c, b, c, c ) 41.34/41.57 ( c, b, c, b, c, b ) 41.34/41.57 ( c, b, c, b, b, c ) 41.34/41.57 ( c, b, c, b, b, b ) 41.34/41.57 ( c, b, b, c, c, c ) 41.34/41.57 ( c, b, b, c, c, b ) 41.34/41.57 ( c, b, b, b, c, c ) 41.34/41.57 ( c, b, b, b, c, b ) 41.34/41.57 ( c, b, b, b, b, c ) 41.34/41.57 ( c, b, b, b, b, b ) 41.34/41.57 ( c, a, c, c, c, c ) 41.34/41.57 ( c, a, c, c, c, a ) 41.34/41.57 ( c, a, c, c, a, c ) 41.34/41.57 ( c, a, c, c, a, a ) 41.34/41.57 ( c, a, a, c, c, c ) 41.34/41.57 ( c, a, a, c, c, a ) 41.34/41.57 ( c, a, a, c, a, c ) 41.34/41.57 ( c, a, a, c, a, a ) 41.34/41.57 ( b, c, c, c, c, c ) 41.34/41.57 ( b, c, c, c, c, b ) 41.34/41.57 ( b, c, c, b, c, c ) 41.34/41.57 ( b, c, c, b, c, b ) 41.34/41.57 ( b, c, c, b, b, c ) 41.34/41.57 ( b, c, c, b, b, b ) 41.34/41.57 ( b, c, b, c, c, c ) 41.34/41.57 ( b, c, b, c, c, b ) 41.34/41.57 ( b, c, b, b, c, c ) 41.34/41.57 ( b, c, b, b, c, b ) 41.34/41.57 ( b, c, b, b, b, c ) 41.34/41.57 ( b, c, b, b, b, b ) 41.34/41.57 ( b, b, c, c, c, c ) 41.34/41.57 ( b, b, c, c, c, b ) 41.34/41.57 ( b, b, c, b, c, c ) 41.34/41.57 ( b, b, c, b, c, b ) 41.34/41.57 ( b, b, c, b, b, c ) 41.34/41.57 ( b, b, c, b, b, b ) 41.34/41.57 ( b, b, b, c, c, c ) 41.34/41.57 ( b, b, b, c, c, b ) 41.34/41.57 ( b, b, b, b, c, c ) 41.34/41.57 ( b, b, b, b, c, b ) 41.34/41.57 ( b, b, b, b, b, c ) 41.34/41.57 ( b, b, b, b, b, b ) 41.34/41.57 ( a, c, c, c, c, c ) 41.34/41.57 ( a, c, c, c, c, a ) 41.34/41.57 ( a, c, c, c, a, c ) 41.34/41.57 ( a, c, c, c, a, a ) 41.34/41.57 ( a, c, c, a, c, c ) 41.34/41.57 ( a, c, b, a, b, b ) 41.34/41.57 ( a, c, a, c, c, c ) 41.34/41.57 ( a, c, a, c, c, a ) 41.34/41.57 ( a, c, a, c, a, c ) 41.34/41.57 ( a, c, a, c, a, a ) 41.34/41.57 ( a, b, c, b, b, c ) 41.34/41.57 ( a, b, c, a, c, c ) 41.34/41.57 ( a, b, c, a, b, c ) 41.34/41.57 ( a, b, c, a, a, c ) 41.34/41.57 ( a, b, b, a, b, c ) 41.34/41.57 ( a, b, a, b, b, b ) 41.34/41.57 ( a, b, a, a, c, c ) 41.34/41.57 ( a, b, a, a, b, c ) 41.34/41.57 ( a, b, a, a, b, a ) 41.34/41.57 ( a, b, a, a, a, c ) 41.34/41.57 ( a, a, c, c, c, c ) 41.34/41.57 ( a, a, c, c, c, a ) 41.34/41.57 ( a, a, c, c, a, c ) 41.34/41.57 ( a, a, c, c, a, a ) 41.34/41.57 ( a, a, b, a, a, b ) 41.34/41.57 ( a, a, b, a, a, skv_50 ) 41.34/41.57 ( a, a, a, c, c, c ) 41.34/41.57 ( a, a, a, c, c, a ) 41.34/41.57 ( a, a, a, c, a, c ) 41.34/41.57 ( a, a, a, c, a, a ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (ho_3 (ho_2 (ho_8 k_7 Xx) Xy) Xz)) (not (ho_3 (ho_2 k_10 (ho_6 k_5 Xy)) Xv)) (not (ho_3 (ho_2 k_10 (ho_6 k_5 Xz)) Xw)) (ho_3 (ho_2 (ho_8 k_11 Xu) Xv) Xw) (not (ho_3 (ho_2 k_10 (ho_6 k_5 Xx)) Xu))) ) 41.34/41.57 ( c, c, c, c, c, c ) 41.34/41.57 ( c, c, b, c, c, c ) 41.34/41.57 ( c, c, b, c, c, b ) 41.34/41.57 ( c, c, b, b, c, c ) 41.34/41.57 ( c, c, b, b, c, b ) 41.34/41.57 ( c, c, b, b, b, c ) 41.34/41.57 ( c, c, b, b, b, b ) 41.34/41.57 ( c, c, a, c, c, c ) 41.34/41.57 ( c, c, a, c, c, a ) 41.34/41.57 ( c, c, a, c, a, c ) 41.34/41.57 ( c, c, a, c, a, a ) 41.34/41.57 ( c, b, c, c, c, c ) 41.34/41.57 ( c, b, c, c, c, b ) 41.34/41.57 ( c, b, c, b, c, c ) 41.34/41.57 ( c, b, c, b, c, b ) 41.34/41.57 ( c, b, c, b, b, c ) 41.34/41.57 ( c, b, c, b, b, b ) 41.34/41.57 ( c, b, b, c, c, c ) 41.34/41.57 ( c, b, b, c, c, b ) 41.34/41.57 ( c, b, b, b, c, c ) 41.34/41.57 ( c, b, b, b, c, b ) 41.34/41.57 ( c, b, b, b, b, c ) 41.34/41.57 ( c, b, b, b, b, b ) 41.34/41.57 ( c, a, c, c, c, c ) 41.34/41.57 ( c, a, c, c, c, a ) 41.34/41.57 ( c, a, c, c, a, c ) 41.34/41.57 ( c, a, c, c, a, a ) 41.34/41.57 ( c, a, a, c, c, c ) 41.34/41.57 ( c, a, a, c, c, a ) 41.34/41.57 ( c, a, a, c, a, c ) 41.34/41.57 ( c, a, a, c, a, a ) 41.34/41.57 ( b, c, c, c, c, c ) 41.34/41.57 ( b, c, c, c, c, b ) 41.34/41.57 ( b, c, c, b, c, c ) 41.34/41.57 ( b, c, c, b, c, b ) 41.34/41.57 ( b, c, c, b, b, c ) 41.34/41.57 ( b, c, c, b, b, b ) 41.34/41.57 ( b, c, b, c, c, c ) 41.34/41.57 ( b, c, b, c, c, b ) 41.34/41.57 ( b, c, b, b, c, c ) 41.34/41.57 ( b, c, b, b, c, b ) 41.34/41.57 ( b, c, b, b, b, c ) 41.34/41.57 ( b, c, b, b, b, b ) 41.34/41.57 ( b, b, c, c, c, c ) 41.34/41.57 ( b, b, c, c, c, b ) 41.34/41.57 ( b, b, c, b, c, c ) 41.34/41.57 ( b, b, c, b, c, b ) 41.34/41.57 ( b, b, c, b, b, c ) 41.34/41.57 ( b, b, c, b, b, b ) 41.34/41.57 ( b, b, b, c, c, c ) 41.34/41.57 ( b, b, b, c, c, b ) 41.34/41.57 ( b, b, b, b, c, c ) 41.34/41.57 ( b, b, b, b, c, b ) 41.34/41.57 ( b, b, b, b, b, c ) 41.34/41.57 ( b, b, b, b, b, b ) 41.34/41.57 ( a, c, c, c, c, c ) 41.34/41.57 ( a, c, c, c, c, a ) 41.34/41.57 ( a, c, c, c, a, c ) 41.34/41.57 ( a, c, c, c, a, a ) 41.34/41.57 ( a, c, c, a, c, c ) 41.34/41.57 ( a, c, c, a, b, c ) 41.34/41.57 ( a, c, a, c, c, c ) 41.34/41.57 ( a, c, a, c, c, a ) 41.34/41.57 ( a, c, a, c, a, c ) 41.34/41.57 ( a, c, a, c, a, a ) 41.34/41.57 ( a, c, a, a, c, a ) 41.34/41.57 ( a, b, c, c, b, c ) 41.34/41.57 ( a, b, c, b, b, c ) 41.34/41.57 ( a, b, c, a, b, c ) 41.34/41.57 ( a, b, c, a, b, b ) 41.34/41.57 ( a, b, c, a, a, c ) 41.34/41.57 ( a, b, b, c, b, b ) 41.34/41.57 ( a, b, b, b, b, b ) 41.34/41.57 ( a, b, a, c, a, a ) 41.34/41.57 ( a, a, c, c, c, c ) 41.34/41.57 ( a, a, c, c, c, a ) 41.34/41.57 ( a, a, c, c, a, c ) 41.34/41.57 ( a, a, c, c, a, a ) 41.34/41.57 ( a, a, a, c, c, c ) 41.34/41.57 ( a, a, a, c, c, a ) 41.34/41.57 ( a, a, a, c, a, c ) 41.34/41.57 ( a, a, a, c, a, a ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((Xx $$unsorted)) (ho_3 (ho_2 k_12 d) Xx) ) 41.34/41.57 ( c ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (ho_3 (ho_2 k_12 (ho_6 k_5 Xx)) Xy) (not (ho_3 (ho_2 k_12 Xx) Xy))) ) 41.34/41.57 ( c, c ) 41.34/41.57 ( b, c ) 41.34/41.57 ( b, b ) 41.34/41.57 ( a, c ) 41.34/41.57 ( a, a ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted)) (not (ho_3 (ho_2 (ho_8 k_13 Xx) Xy) Xz)) ) 41.34/41.57 ( c, c, c ) 41.34/41.57 ( c, c, b ) 41.34/41.57 ( c, c, a ) 41.34/41.57 ( c, c, skv_50 ) 41.34/41.57 ( c, b, b ) 41.34/41.57 ( c, a, c ) 41.34/41.57 ( c, a, a ) 41.34/41.57 ( b, c, c ) 41.34/41.57 ( b, c, b ) 41.34/41.57 ( b, b, c ) 41.34/41.57 ( b, b, b ) 41.34/41.57 ( a, c, c ) 41.34/41.57 ( a, c, a ) 41.34/41.57 ( a, b, c ) 41.34/41.57 ( a, b, b ) 41.34/41.57 ( a, a, c ) 41.34/41.57 ( a, a, a ) 41.34/41.57 ( a, a, skv_50 ) 41.34/41.57 ( skv_51, c, skv_50 ) 41.34/41.57 ( skv_51, b, c ) 41.34/41.57 ( skv_51, b, b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (ho_3 (ho_2 k_12 (ho_6 k_5 Xx)) Xu)) (not (ho_3 (ho_2 k_12 (ho_6 k_5 Xy)) Xv)) (not (ho_3 (ho_2 k_12 (ho_6 k_5 Xz)) Xw)) (ho_3 (ho_2 (ho_8 k_13 Xu) Xv) Xw) (not (ho_3 (ho_2 (ho_8 k_11 Xx) Xy) Xz))) ) 41.34/41.57 ( c, c, c, c, c, c ) 41.34/41.57 ( c, c, b, c, c, c ) 41.34/41.57 ( c, c, b, c, c, b ) 41.34/41.57 ( c, c, b, c, b, c ) 41.34/41.57 ( c, c, b, c, b, b ) 41.34/41.57 ( c, c, b, b, c, c ) 41.34/41.57 ( c, c, b, b, c, b ) 41.34/41.57 ( c, c, b, b, b, c ) 41.34/41.57 ( c, c, b, b, b, b ) 41.34/41.57 ( c, c, a, c, c, c ) 41.34/41.57 ( c, c, a, c, c, a ) 41.34/41.57 ( c, c, a, c, a, c ) 41.34/41.57 ( c, c, a, c, a, a ) 41.34/41.57 ( c, c, a, a, c, c ) 41.34/41.57 ( c, c, a, a, c, a ) 41.34/41.57 ( c, c, a, a, a, c ) 41.34/41.57 ( c, c, a, a, a, a ) 41.34/41.57 ( c, b, c, c, c, c ) 41.34/41.57 ( c, b, c, c, c, b ) 41.34/41.57 ( c, b, c, c, b, c ) 41.34/41.57 ( c, b, c, c, b, b ) 41.34/41.57 ( c, b, c, b, c, c ) 41.34/41.57 ( c, b, c, b, c, b ) 41.34/41.57 ( c, b, c, b, b, c ) 41.34/41.57 ( c, b, c, b, b, b ) 41.34/41.57 ( c, b, b, c, c, c ) 41.34/41.57 ( c, b, b, c, c, b ) 41.34/41.57 ( c, b, b, c, b, c ) 41.34/41.57 ( c, b, b, c, b, b ) 41.34/41.57 ( c, b, b, b, c, c ) 41.34/41.57 ( c, b, b, b, c, b ) 41.34/41.57 ( c, b, b, b, b, c ) 41.34/41.57 ( c, b, b, b, b, b ) 41.34/41.57 ( c, a, c, c, c, c ) 41.34/41.57 ( c, a, c, c, c, a ) 41.34/41.57 ( c, a, c, c, a, c ) 41.34/41.57 ( c, a, c, c, a, a ) 41.34/41.57 ( c, a, c, a, c, c ) 41.34/41.57 ( c, a, c, a, c, a ) 41.34/41.57 ( c, a, c, a, a, c ) 41.34/41.57 ( c, a, c, a, a, a ) 41.34/41.57 ( c, a, a, c, c, c ) 41.34/41.57 ( c, a, a, c, c, a ) 41.34/41.57 ( c, a, a, c, a, c ) 41.34/41.57 ( c, a, a, c, a, a ) 41.34/41.57 ( c, a, a, a, c, c ) 41.34/41.57 ( c, a, a, a, c, a ) 41.34/41.57 ( c, a, a, a, a, c ) 41.34/41.57 ( c, a, a, a, a, a ) 41.34/41.57 ( b, c, c, c, c, c ) 41.34/41.57 ( b, c, c, c, c, b ) 41.34/41.57 ( b, c, c, c, b, c ) 41.34/41.57 ( b, c, c, c, b, b ) 41.34/41.57 ( b, c, c, b, c, c ) 41.34/41.57 ( b, c, c, b, c, b ) 41.34/41.57 ( b, c, c, b, b, c ) 41.34/41.57 ( b, c, c, b, b, b ) 41.34/41.57 ( b, c, b, c, c, c ) 41.34/41.57 ( b, c, b, c, c, b ) 41.34/41.57 ( b, c, b, c, b, c ) 41.34/41.57 ( b, c, b, c, b, b ) 41.34/41.57 ( b, c, b, b, c, c ) 41.34/41.57 ( b, c, b, b, c, b ) 41.34/41.57 ( b, c, b, b, b, c ) 41.34/41.57 ( b, c, b, b, b, b ) 41.34/41.57 ( b, b, c, c, c, c ) 41.34/41.57 ( b, b, c, c, c, b ) 41.34/41.57 ( b, b, c, c, b, c ) 41.34/41.57 ( b, b, c, c, b, b ) 41.34/41.57 ( b, b, c, b, c, c ) 41.34/41.57 ( b, b, c, b, c, b ) 41.34/41.57 ( b, b, c, b, b, c ) 41.34/41.57 ( b, b, c, b, b, b ) 41.34/41.57 ( b, b, b, c, c, c ) 41.34/41.57 ( b, b, b, c, c, b ) 41.34/41.57 ( b, b, b, c, b, c ) 41.34/41.57 ( b, b, b, c, b, b ) 41.34/41.57 ( b, b, b, b, c, c ) 41.34/41.57 ( b, b, b, b, c, b ) 41.34/41.57 ( b, b, b, b, b, c ) 41.34/41.57 ( b, b, b, b, b, b ) 41.34/41.57 ( a, c, c, c, c, c ) 41.34/41.57 ( a, c, c, c, c, a ) 41.34/41.57 ( a, c, c, c, a, c ) 41.34/41.57 ( a, c, c, c, a, a ) 41.34/41.57 ( a, c, c, a, c, c ) 41.34/41.57 ( a, c, c, a, c, a ) 41.34/41.57 ( a, c, c, a, a, c ) 41.34/41.57 ( a, c, c, a, a, a ) 41.34/41.57 ( a, c, a, c, c, c ) 41.34/41.57 ( a, c, a, c, c, a ) 41.34/41.57 ( a, c, a, c, a, c ) 41.34/41.57 ( a, c, a, c, a, a ) 41.34/41.57 ( a, c, a, a, c, c ) 41.34/41.57 ( a, c, a, a, c, a ) 41.34/41.57 ( a, c, a, a, a, c ) 41.34/41.57 ( a, c, a, a, a, a ) 41.34/41.57 ( a, b, c, a, b, c ) 41.34/41.57 ( a, b, b, a, b, b ) 41.34/41.57 ( a, b, b, a, b, skv_50 ) 41.34/41.57 ( a, b, a, a, b, a ) 41.34/41.57 ( a, a, c, c, c, c ) 41.34/41.57 ( a, a, c, c, c, a ) 41.34/41.57 ( a, a, c, c, a, c ) 41.34/41.57 ( a, a, c, c, a, a ) 41.34/41.57 ( a, a, c, a, c, c ) 41.34/41.57 ( a, a, c, a, c, a ) 41.34/41.57 ( a, a, c, a, a, c ) 41.34/41.57 ( a, a, c, a, a, a ) 41.34/41.57 ( a, a, a, c, c, c ) 41.34/41.57 ( a, a, a, c, c, a ) 41.34/41.57 ( a, a, a, c, a, c ) 41.34/41.57 ( a, a, a, c, a, a ) 41.34/41.57 ( a, a, a, a, c, c ) 41.34/41.57 ( a, a, a, a, c, a ) 41.34/41.57 ( a, a, a, a, a, c ) 41.34/41.57 ( a, a, a, a, a, a ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (ho_3 (ho_2 k_10 (ho_6 k_5 Xx)) Xy) (not (ho_3 (ho_2 k_10 Xx) Xy))) ) 41.34/41.57 ( c, c ) 41.34/41.57 ( b, c ) 41.34/41.57 ( b, b ) 41.34/41.57 ( a, c ) 41.34/41.57 ( a, a ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((Xx $$unsorted)) (ho_3 (ho_2 k_10 d) Xx) ) 41.34/41.57 ( c ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not (ho_3 (ho_2 k_4 Xx) Xy)) (ho_3 (ho_2 k_4 (ho_6 k_5 Xx)) Xy)) ) 41.34/41.57 ( c, c ) 41.34/41.57 ( b, c ) 41.34/41.57 ( b, b ) 41.34/41.57 ( a, c ) 41.34/41.57 ( a, a ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((Xx $$unsorted)) (ho_3 (ho_2 k_4 d) Xx) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ( a ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (ho_3 (ho_2 k_1 (ho_6 k_5 Xy)) Xv)) (not (ho_3 (ho_2 k_1 (ho_6 k_5 Xz)) Xw)) (ho_3 (ho_2 (ho_8 k_9 Xu) Xv) Xw) (not (ho_3 (ho_2 k_1 (ho_6 k_5 Xx)) Xu)) (not (ho_3 (ho_2 (ho_8 k_14 Xx) Xy) Xz))) ) 41.34/41.57 ( c, c, c, c, c, c ) 41.34/41.57 ( c, c, b, c, c, c ) 41.34/41.57 ( c, c, b, c, c, b ) 41.34/41.57 ( c, c, b, b, c, c ) 41.34/41.57 ( c, c, b, b, c, b ) 41.34/41.57 ( c, c, b, b, b, c ) 41.34/41.57 ( c, c, b, b, b, b ) 41.34/41.57 ( c, c, a, c, c, c ) 41.34/41.57 ( c, c, a, c, c, a ) 41.34/41.57 ( c, c, a, c, a, c ) 41.34/41.57 ( c, c, a, c, a, a ) 41.34/41.57 ( c, b, c, c, c, c ) 41.34/41.57 ( c, b, c, c, c, b ) 41.34/41.57 ( c, b, c, c, b, c ) 41.34/41.57 ( c, b, c, b, c, c ) 41.34/41.57 ( c, b, c, b, c, b ) 41.34/41.57 ( c, b, c, b, b, c ) 41.34/41.57 ( c, b, c, b, b, b ) 41.34/41.57 ( c, b, b, c, c, c ) 41.34/41.57 ( c, b, b, c, c, b ) 41.34/41.57 ( c, b, b, b, c, c ) 41.34/41.57 ( c, b, b, b, c, b ) 41.34/41.57 ( c, b, b, b, b, c ) 41.34/41.57 ( c, b, b, b, b, b ) 41.34/41.57 ( c, a, c, c, c, c ) 41.34/41.57 ( c, a, c, c, c, a ) 41.34/41.57 ( c, a, c, c, a, c ) 41.34/41.57 ( c, a, c, c, a, a ) 41.34/41.57 ( c, a, a, c, c, c ) 41.34/41.57 ( c, a, a, c, c, a ) 41.34/41.57 ( c, a, a, c, a, c ) 41.34/41.57 ( c, a, a, c, a, a ) 41.34/41.57 ( b, c, c, c, c, c ) 41.34/41.57 ( b, c, c, c, c, b ) 41.34/41.57 ( b, c, c, b, c, c ) 41.34/41.57 ( b, c, c, b, c, b ) 41.34/41.57 ( b, c, c, b, b, c ) 41.34/41.57 ( b, c, c, b, b, b ) 41.34/41.57 ( b, c, b, c, c, c ) 41.34/41.57 ( b, c, b, c, c, b ) 41.34/41.57 ( b, c, b, b, c, c ) 41.34/41.57 ( b, c, b, b, c, b ) 41.34/41.57 ( b, c, b, b, b, c ) 41.34/41.57 ( b, c, b, b, b, b ) 41.34/41.57 ( b, b, c, c, c, c ) 41.34/41.57 ( b, b, c, c, c, b ) 41.34/41.57 ( b, b, c, b, c, c ) 41.34/41.57 ( b, b, c, b, c, b ) 41.34/41.57 ( b, b, c, b, b, c ) 41.34/41.57 ( b, b, c, b, b, b ) 41.34/41.57 ( b, b, b, c, c, c ) 41.34/41.57 ( b, b, b, c, c, b ) 41.34/41.57 ( b, b, b, b, c, c ) 41.34/41.57 ( b, b, b, b, c, b ) 41.34/41.57 ( b, b, b, b, b, c ) 41.34/41.57 ( b, b, b, b, b, b ) 41.34/41.57 ( a, c, c, c, c, c ) 41.34/41.57 ( a, c, c, c, c, a ) 41.34/41.57 ( a, c, c, c, a, c ) 41.34/41.57 ( a, c, c, c, a, a ) 41.34/41.57 ( a, c, c, a, c, c ) 41.34/41.57 ( a, c, c, a, c, a ) 41.34/41.57 ( a, c, c, a, a, c ) 41.34/41.57 ( a, c, c, a, a, a ) 41.34/41.57 ( a, c, a, c, c, c ) 41.34/41.57 ( a, c, a, c, c, a ) 41.34/41.57 ( a, c, a, c, a, c ) 41.34/41.57 ( a, c, a, c, a, a ) 41.34/41.57 ( a, b, c, a, b, c ) 41.34/41.57 ( a, b, c, a, b, a ) 41.34/41.57 ( a, b, b, c, b, b ) 41.34/41.57 ( a, b, b, a, c, c ) 41.34/41.57 ( a, b, b, a, c, b ) 41.34/41.57 ( a, b, a, b, b, b ) 41.34/41.57 ( a, b, a, a, b, a ) 41.34/41.57 ( a, b, a, a, a, a ) 41.34/41.57 ( a, a, c, c, c, c ) 41.34/41.57 ( a, a, c, c, c, a ) 41.34/41.57 ( a, a, c, c, a, c ) 41.34/41.57 ( a, a, c, c, a, a ) 41.34/41.57 ( a, a, a, c, c, c ) 41.34/41.57 ( a, a, a, c, c, a ) 41.34/41.57 ( a, a, a, c, a, c ) 41.34/41.57 ( a, a, a, c, a, a ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not (ho_3 (ho_2 k_1 Xx) Xy)) (ho_3 (ho_2 k_1 (ho_6 k_5 Xx)) Xy)) ) 41.34/41.57 ( c, c ) 41.34/41.57 ( c, a ) 41.34/41.57 ( b, c ) 41.34/41.57 ( b, b ) 41.34/41.57 ( a, c ) 41.34/41.57 ( a, b ) 41.34/41.57 ( a, a ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((x |u_(-> $$unsorted $$unsorted $$unsorted Bool)|) (y |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_8 x z) (ho_8 y z)) )) (= x y)) ) 41.34/41.57 ( k_13, k_14 ) 41.34/41.57 ( k_13, skv_17 ) 41.34/41.57 ( k_14, k_13 ) 41.34/41.57 ( k_14, skv_17 ) 41.34/41.57 ( skv_17, k_13 ) 41.34/41.57 ( skv_17, k_14 ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((x |u_(-> $$unsorted $$unsorted)|) (y |u_(-> $$unsorted $$unsorted)|)) (or (not (forall ((z $$unsorted)) (= (ho_6 x z) (ho_6 y z)) )) (= x y)) ) 41.34/41.57 ( |e__u_(-> $$unsorted $$unsorted)__16|, |e__u_(-> $$unsorted $$unsorted)__16| ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_3 x z) (ho_3 y z)) )) (= x y)) ) 41.34/41.57 ( (ho_2 k_4 b), (ho_2 (ho_8 k_7 c) c) ) 41.34/41.57 ( (ho_2 (ho_8 k_7 c) c), (ho_2 k_4 b) ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((x |u_(-> $$unsorted $$unsorted Bool)|) (y |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_2 x z) (ho_2 y z)) )) (= x y)) ) 41.34/41.57 ( k_4, (ho_8 k_7 c) ) 41.34/41.57 ( k_4, (ho_8 k_13 a) ) 41.34/41.57 ( (ho_8 k_7 c), k_4 ) 41.34/41.57 ( (ho_8 k_7 c), (ho_8 k_13 a) ) 41.34/41.57 ( (ho_8 k_13 a), k_4 ) 41.34/41.57 ( (ho_8 k_13 a), (ho_8 k_7 c) ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((u |u_(-> $$unsorted $$unsorted $$unsorted Bool)|) (e |u_(-> $$unsorted $$unsorted Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= i ii) e (ho_8 u ii))) )) )) ) 41.34/41.57 ( k_13, k_4, c ) 41.34/41.57 ( k_13, k_4, b ) 41.34/41.57 ( k_13, k_4, a ) 41.34/41.57 ( k_13, (ho_8 k_7 c), c ) 41.34/41.57 ( k_13, (ho_8 k_7 c), b ) 41.34/41.57 ( k_13, (ho_8 k_7 c), a ) 41.34/41.57 ( k_13, (ho_8 k_13 a), c ) 41.34/41.57 ( k_13, (ho_8 k_13 a), b ) 41.34/41.57 ( k_14, k_4, c ) 41.34/41.57 ( k_14, k_4, b ) 41.34/41.57 ( k_14, k_4, a ) 41.34/41.57 ( k_14, (ho_8 k_7 c), c ) 41.34/41.57 ( k_14, (ho_8 k_7 c), b ) 41.34/41.57 ( k_14, (ho_8 k_7 c), a ) 41.34/41.57 ( k_14, (ho_8 k_13 a), c ) 41.34/41.57 ( k_14, (ho_8 k_13 a), b ) 41.34/41.57 ( skv_17, k_4, c ) 41.34/41.57 ( skv_17, k_4, b ) 41.34/41.57 ( skv_17, (ho_8 k_7 c), c ) 41.34/41.57 ( skv_17, (ho_8 k_7 c), b ) 41.34/41.57 ( skv_17, (ho_8 k_13 a), c ) 41.34/41.57 ( skv_17, (ho_8 k_13 a), b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((u |u_(-> $$unsorted $$unsorted)|) (e $$unsorted) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_6 v ii) (ite (= i ii) e (ho_6 u ii))) )) )) ) 41.34/41.57 ( k_5, c, c ) 41.34/41.57 ( k_5, c, a ) 41.34/41.57 ( k_5, a, c ) 41.34/41.57 ( k_5, a, a ) 41.34/41.57 ( |e__u_(-> $$unsorted $$unsorted)__16|, c, c ) 41.34/41.57 ( |e__u_(-> $$unsorted $$unsorted)__16|, c, b ) 41.34/41.57 ( |e__u_(-> $$unsorted $$unsorted)__16|, b, c ) 41.34/41.57 ( |e__u_(-> $$unsorted $$unsorted)__16|, b, b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii))) )) )) ) 41.34/41.57 ( (ho_2 k_4 b), true, c ) 41.34/41.57 ( (ho_2 k_4 b), true, b ) 41.34/41.57 ( (ho_2 k_4 b), true, a ) 41.34/41.57 ( (ho_2 k_4 b), false, c ) 41.34/41.57 ( (ho_2 k_4 b), false, b ) 41.34/41.57 ( (ho_2 k_4 b), false, a ) 41.34/41.57 ( (ho_2 (ho_8 k_7 c) c), true, c ) 41.34/41.57 ( (ho_2 (ho_8 k_7 c) c), true, b ) 41.34/41.57 ( (ho_2 (ho_8 k_7 c) c), true, a ) 41.34/41.57 ( (ho_2 (ho_8 k_7 c) c), false, c ) 41.34/41.57 ( (ho_2 (ho_8 k_7 c) c), false, b ) 41.34/41.57 ( (ho_2 (ho_8 k_7 c) c), false, a ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((u |u_(-> $$unsorted $$unsorted Bool)|) (e |u_(-> $$unsorted Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= i ii) e (ho_2 u ii))) )) )) ) 41.34/41.57 ( k_4, (ho_2 k_4 b), c ) 41.34/41.57 ( k_4, (ho_2 k_4 b), b ) 41.34/41.57 ( k_4, (ho_2 k_4 b), a ) 41.34/41.57 ( k_4, (ho_2 (ho_8 k_7 c) c), c ) 41.34/41.57 ( k_4, (ho_2 (ho_8 k_7 c) c), b ) 41.34/41.57 ( k_4, (ho_2 (ho_8 k_7 c) c), a ) 41.34/41.57 ( (ho_8 k_7 c), (ho_2 k_4 b), c ) 41.34/41.57 ( (ho_8 k_7 c), (ho_2 k_4 b), b ) 41.34/41.57 ( (ho_8 k_7 c), (ho_2 k_4 b), a ) 41.34/41.57 ( (ho_8 k_7 c), (ho_2 (ho_8 k_7 c) c), c ) 41.34/41.57 ( (ho_8 k_7 c), (ho_2 (ho_8 k_7 c) c), b ) 41.34/41.57 ( (ho_8 k_7 c), (ho_2 (ho_8 k_7 c) c), a ) 41.34/41.57 ( (ho_8 k_13 a), (ho_2 k_4 b), c ) 41.34/41.57 ( (ho_8 k_13 a), (ho_2 k_4 b), b ) 41.34/41.57 ( (ho_8 k_13 a), (ho_2 (ho_8 k_7 c) c), c ) 41.34/41.57 ( (ho_8 k_13 a), (ho_2 (ho_8 k_7 c) c), b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) k_4 (ho_8 k_14 ii)) (ho_8 skv_17 ii)) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ( a ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) c (ho_6 |e__u_(-> $$unsorted $$unsorted)__16| ii)) (ho_6 skv_18 ii)) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ( a ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ho_3 skv_19 ii) (ite (= c ii) false (ho_3 (ho_2 k_4 b) ii))) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ( a ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ho_3 skv_20 ii) (ite (= c ii) true (ho_3 (ho_2 k_4 b) ii))) ) 41.34/41.57 ( c ) 41.34/41.57 ( a ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) (ho_2 k_4 b) (ho_2 k_4 ii)) (ho_2 skv_21 ii)) ) 41.34/41.57 ( c ) 41.34/41.57 ( a ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ite (= a ii) k_4 (ho_8 k_14 ii)) (ho_8 skv_25 ii)) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ite (= a ii) (ho_8 k_7 c) (ho_8 k_14 ii)) (ho_8 skv_26 ii)) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) (ho_8 k_7 c) (ho_8 k_14 ii)) (ho_8 skv_27 ii)) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ite (= a ii) k_4 (ho_8 k_13 ii)) (ho_8 skv_28 ii)) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) k_4 (ho_8 k_13 ii)) (ho_8 skv_29 ii)) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ite (= a ii) (ho_8 k_7 c) (ho_8 k_13 ii)) (ho_8 skv_30 ii)) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) (ho_8 k_7 c) (ho_8 k_13 ii)) (ho_8 skv_31 ii)) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ite (= a ii) a (ho_6 k_5 ii)) (ho_6 skv_32 ii)) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) a (ho_6 k_5 ii)) (ho_6 skv_33 ii)) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ite (= a ii) c (ho_6 k_5 ii)) (ho_6 skv_34 ii)) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) c (ho_6 k_5 ii)) (ho_6 skv_35 ii)) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ho_3 skv_36 ii) (ite (= a ii) false (ho_3 (ho_2 k_4 b) ii))) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ho_3 skv_37 ii) (ite (= a ii) true (ho_3 (ho_2 k_4 b) ii))) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ho_3 skv_38 ii) (ite (= a ii) false (ho_3 (ho_2 (ho_8 k_7 c) c) ii))) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ho_3 skv_39 ii) (ite (= c ii) false (ho_3 (ho_2 (ho_8 k_7 c) c) ii))) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ho_3 skv_40 ii) (ite (= a ii) true (ho_3 (ho_2 (ho_8 k_7 c) c) ii))) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ho_3 skv_41 ii) (ite (= c ii) true (ho_3 (ho_2 (ho_8 k_7 c) c) ii))) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ite (= a ii) (ho_2 k_4 b) (ho_2 k_4 ii)) (ho_2 skv_42 ii)) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ite (= a ii) (ho_2 (ho_8 k_7 c) c) (ho_2 k_4 ii)) (ho_2 skv_43 ii)) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) (ho_2 (ho_8 k_7 c) c) (ho_2 k_4 ii)) (ho_2 skv_44 ii)) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ite (= a ii) (ho_2 k_4 b) (ho_2 (ho_8 k_7 c) ii)) (ho_2 skv_45 ii)) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) (ho_2 k_4 b) (ho_2 (ho_8 k_7 c) ii)) (ho_2 skv_46 ii)) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (let ((_let_0 (ho_8 k_7 c))) (= (ite (= a ii) (ho_2 _let_0 c) (ho_2 _let_0 ii)) (ho_2 skv_47 ii))) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ) 41.34/41.57 (instantiation (forall ((ii $$unsorted)) (let ((_let_0 (ho_8 k_7 c))) (= (ite (= c ii) (ho_2 _let_0 c) (ho_2 _let_0 ii)) (ho_2 skv_48 ii))) ) 41.34/41.57 ( c ) 41.34/41.57 ( b ) 41.34/41.57 ) 41.34/41.57 % SZS output end Proof for theBenchmark 41.34/41.58 EOF