0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : do_CVC4 %s 0.13/0.34 % Computer : n005.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 180 0.13/0.34 % DateTime : Thu Aug 29 10:46:33 EDT 2019 0.13/0.34 % CPUTime : 0.18/0.46 %----Proving TH0_NAR 0.18/0.47 ------- cvc4-thf casc 27 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 180... 0.18/0.47 --- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20... 20.27/20.49 --- Run --uf-ho --ho-elim --full-saturate-quant at 20... 30.16/30.39 % SZS status Theorem for theBenchmark 30.16/30.39 % SZS output start Proof for theBenchmark 30.16/30.39 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= c ii) (ho_7 k_8 a) (ho_7 k_8 ii))) )) ) 30.16/30.39 ( skv_18 ) 30.16/30.39 ) 30.16/30.39 (skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_5 v ii) (ite (= c ii) c (ho_5 |e_|u_(-> $$unsorted $$unsorted)|_17| ii))) )) ) 30.16/30.39 ( skv_19 ) 30.16/30.39 ) 30.16/30.39 (skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= c ii) false (ho_3 (ho_2 (ho_7 k_8 a) b) ii))) )) ) 30.16/30.39 ( skv_20 ) 30.16/30.39 ) 30.16/30.39 (skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (let ((_let_0 (ho_7 k_8 a))) (= (ho_2 v ii) (ite (= c ii) (ho_2 _let_0 b) (ho_2 _let_0 ii)))) )) ) 30.16/30.39 ( skv_21 ) 30.16/30.39 ) 30.16/30.39 (skolem (forall ((z $$unsorted)) (= (ho_3 (ho_2 (ho_7 k_8 a) b) z) (ho_3 (ho_2 k_1 c) z)) ) 30.16/30.39 ( skv_22 ) 30.16/30.39 ) 30.16/30.39 (skolem (forall ((z $$unsorted)) (= (ho_2 (ho_7 k_8 a) z) (ho_2 k_1 z)) ) 30.16/30.39 ( skv_23 ) 30.16/30.39 ) 30.16/30.39 (skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_5 v ii) (ite (= c ii) c (ho_5 k_4 ii))) )) ) 30.16/30.39 ( skv_30 ) 30.16/30.39 ) 30.16/30.39 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= b ii) (ho_7 k_8 a) (ho_7 k_8 ii))) )) ) 30.16/30.39 ( skv_31 ) 30.16/30.39 ) 30.16/30.39 (skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (let ((_let_0 (ho_2 (ho_7 k_8 a) b))) (= (ho_3 v ii) (ite (= c ii) (ho_3 _let_0 c) (ho_3 _let_0 ii)))) )) ) 30.16/30.39 ( skv_32 ) 30.16/30.39 ) 30.16/30.39 (skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (let ((_let_0 (ho_7 k_8 a))) (= (ho_2 v ii) (ite (= b ii) (ho_2 _let_0 b) (ho_2 _let_0 ii)))) )) ) 30.16/30.39 ( skv_33 ) 30.16/30.39 ) 30.16/30.39 (skolem (forall ((z $$unsorted)) (= (ho_7 k_8 z) (ho_7 k_16 z)) ) 30.16/30.39 ( skv_34 ) 30.16/30.39 ) 30.16/30.39 (skolem (forall ((z $$unsorted)) (= (ho_2 (ho_7 k_8 a) z) (ho_2 k_11 z)) ) 30.16/30.39 ( skv_35 ) 30.16/30.39 ) 30.16/30.39 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= c ii) k_1 (ho_7 k_8 ii))) )) ) 30.16/30.39 ( skv_53 ) 30.16/30.39 ) 30.16/30.39 (skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_5 v ii) (ite (= b ii) c (ho_5 k_4 ii))) )) ) 30.16/30.39 ( skv_54 ) 30.16/30.39 ) 30.16/30.39 (skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (let ((_let_0 (ho_2 (ho_7 k_8 a) b))) (= (ho_3 v ii) (ite (= b ii) (ho_3 _let_0 c) (ho_3 _let_0 ii)))) )) ) 30.16/30.39 ( skv_55 ) 30.16/30.39 ) 30.16/30.39 (skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= c ii) (ho_2 k_1 c) (ho_2 (ho_7 k_8 a) ii))) )) ) 30.16/30.39 ( skv_56 ) 30.16/30.39 ) 30.16/30.39 (skolem (forall ((z $$unsorted)) (= (ho_7 k_8 z) (ho_7 k_12 z)) ) 30.16/30.39 ( skv_57 ) 30.16/30.39 ) 30.16/30.39 (skolem (forall ((z $$unsorted)) (= (ho_5 k_4 z) (ho_5 skv_19 z)) ) 30.16/30.39 ( skv_58 ) 30.16/30.39 ) 30.16/30.39 (skolem (forall ((z $$unsorted)) (= (ho_3 (ho_2 (ho_7 k_8 a) b) z) (ho_3 (ho_2 k_11 b) z)) ) 30.16/30.39 ( skv_59 ) 30.16/30.39 ) 30.16/30.39 (skolem (forall ((z $$unsorted)) (= (ho_2 k_1 z) (ho_2 k_11 z)) ) 30.16/30.39 ( skv_60 ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((Xx $$unsorted)) (ho_3 (ho_2 k_1 d) Xx) ) 30.16/30.39 ( d ) 30.16/30.39 ( b ) 30.16/30.39 ( a ) 30.16/30.39 ( (ho_5 k_4 d) ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (ho_3 (ho_2 (ho_7 k_8 Xx) Xy) Xz)) (not (ho_3 (ho_2 k_1 (ho_5 k_4 Xy)) Xv)) (ho_3 (ho_2 (ho_7 k_6 Xu) Xv) Xw) (not (ho_3 (ho_2 k_1 (ho_5 k_4 Xz)) Xw)) (not (ho_3 (ho_2 k_1 (ho_5 k_4 Xx)) Xu))) ) 30.16/30.39 ( d, d, d, d, d, d ) 30.16/30.39 ( d, d, c, d, d, c ) 30.16/30.39 ( d, d, b, d, d, b ) 30.16/30.39 ( d, d, a, d, d, d ) 30.16/30.39 ( d, d, (ho_5 k_4 d), d, d, d ) 30.16/30.39 ( d, d, skv_22, d, d, b ) 30.16/30.39 ( d, b, d, b, b, d ) 30.16/30.39 ( d, b, c, a, b, c ) 30.16/30.39 ( d, b, b, d, b, b ) 30.16/30.39 ( d, b, a, d, b, a ) 30.16/30.39 ( d, b, (ho_5 k_4 d), b, b, d ) 30.16/30.39 ( d, b, skv_22, d, b, d ) 30.16/30.39 ( d, a, d, d, d, d ) 30.16/30.39 ( d, a, c, d, a, c ) 30.16/30.39 ( d, a, b, d, d, b ) 30.16/30.39 ( d, a, a, d, d, d ) 30.16/30.39 ( d, a, (ho_5 k_4 d), d, d, d ) 30.16/30.39 ( d, a, skv_22, d, d, d ) 30.16/30.39 ( b, d, d, b, d, d ) 30.16/30.39 ( b, d, b, b, d, b ) 30.16/30.39 ( b, d, a, b, d, a ) 30.16/30.39 ( b, d, (ho_5 k_4 d), b, b, d ) 30.16/30.39 ( b, d, skv_22, a, b, b ) 30.16/30.39 ( b, b, d, b, b, d ) 30.16/30.39 ( b, b, b, b, b, b ) 30.16/30.39 ( b, b, a, b, b, a ) 30.16/30.39 ( b, b, (ho_5 k_4 d), b, a, b ) 30.16/30.39 ( b, b, skv_22, b, (ho_5 k_4 d), b ) 30.16/30.39 ( b, a, d, b, a, d ) 30.16/30.39 ( b, a, b, b, a, b ) 30.16/30.39 ( b, a, a, b, a, a ) 30.16/30.39 ( b, a, (ho_5 k_4 d), b, d, a ) 30.16/30.39 ( a, d, d, d, d, d ) 30.16/30.39 ( a, d, c, d, d, c ) 30.16/30.39 ( a, d, b, d, b, b ) 30.16/30.39 ( a, d, a, d, d, d ) 30.16/30.39 ( a, d, (ho_5 k_4 d), d, a, d ) 30.16/30.39 ( a, d, skv_22, d, b, d ) 30.16/30.39 ( a, b, d, d, b, d ) 30.16/30.39 ( a, b, d, d, b, b ) 30.16/30.39 ( a, b, d, d, a, d ) 30.16/30.39 ( a, b, d, b, b, d ) 30.16/30.39 ( a, b, d, a, b, d ) 30.16/30.39 ( a, b, d, a, b, b ) 30.16/30.39 ( a, b, d, a, b, a ) 30.16/30.39 ( a, b, c, d, d, d ) 30.16/30.39 ( a, b, c, d, b, c ) 30.16/30.39 ( a, b, c, d, b, b ) 30.16/30.39 ( a, b, c, d, b, a ) 30.16/30.39 ( a, b, c, d, b, skv_22 ) 30.16/30.39 ( a, b, c, d, a, skv_22 ) 30.16/30.39 ( a, b, c, b, b, c ) 30.16/30.39 ( a, b, c, b, b, (ho_5 k_4 d) ) 30.16/30.39 ( a, b, c, b, b, skv_22 ) 30.16/30.39 ( a, b, c, a, b, d ) 30.16/30.39 ( a, b, c, a, b, c ) 30.16/30.39 ( a, b, c, a, b, b ) 30.16/30.39 ( a, b, b, d, b, b ) 30.16/30.39 ( a, b, a, a, b, a ) 30.16/30.39 ( a, a, d, d, a, d ) 30.16/30.39 ( a, a, c, d, d, c ) 30.16/30.39 ( a, a, b, d, d, b ) 30.16/30.39 ( a, a, a, d, d, d ) 30.16/30.39 ( a, a, (ho_5 k_4 d), d, a, d ) 30.16/30.39 ( a, a, skv_22, d, d, d ) 30.16/30.39 ( a, (ho_5 k_4 d), d, d, d, d ) 30.16/30.39 ( a, (ho_5 k_4 d), b, b, a, b ) 30.16/30.39 ( a, (ho_5 k_4 d), a, d, b, d ) 30.16/30.39 ( a, (ho_5 k_4 d), (ho_5 k_4 d), d, a, d ) 30.16/30.39 ( a, skv_22, d, d, d, d ) 30.16/30.39 ( a, skv_22, c, d, d, c ) 30.16/30.39 ( a, skv_22, b, d, d, b ) 30.16/30.39 ( a, skv_22, a, d, b, d ) 30.16/30.39 ( a, skv_22, (ho_5 k_4 d), b, d, b ) 30.16/30.39 ( a, skv_22, skv_22, d, b, b ) 30.16/30.39 ( a, skv_23, d, b, skv_22, d ) 30.16/30.39 ( a, skv_23, a, b, skv_22, d ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (ho_3 (ho_2 k_9 (ho_5 k_4 Xx)) Xu)) (not (ho_3 (ho_2 k_9 (ho_5 k_4 Xy)) Xv)) (not (ho_3 (ho_2 k_9 (ho_5 k_4 Xz)) Xw)) (ho_3 (ho_2 (ho_7 k_10 Xu) Xv) Xw) (not (ho_3 (ho_2 (ho_7 k_6 Xx) Xy) Xz))) ) 30.16/30.39 ( d, d, d, d, d, d ) 30.16/30.39 ( d, d, c, d, d, d ) 30.16/30.39 ( d, d, c, d, d, skv_58 ) 30.16/30.39 ( d, d, b, d, d, b ) 30.16/30.39 ( d, d, b, d, d, a ) 30.16/30.39 ( d, d, a, d, d, b ) 30.16/30.39 ( d, d, a, d, d, a ) 30.16/30.39 ( d, d, (ho_5 k_4 d), d, d, d ) 30.16/30.39 ( d, d, skv_22, d, d, d ) 30.16/30.39 ( d, d, skv_22, d, d, a ) 30.16/30.39 ( d, d, skv_22, d, d, (ho_5 k_4 d) ) 30.16/30.39 ( d, c, a, a, skv_22, a ) 30.16/30.39 ( d, b, d, d, d, d ) 30.16/30.39 ( d, b, d, d, b, d ) 30.16/30.39 ( d, b, c, d, b, c ) 30.16/30.39 ( d, b, c, b, b, a ) 30.16/30.39 ( d, b, b, d, b, b ) 30.16/30.39 ( d, b, a, d, b, a ) 30.16/30.39 ( d, b, (ho_5 k_4 d), d, b, b ) 30.16/30.39 ( d, b, skv_22, d, b, c ) 30.16/30.39 ( d, a, d, d, d, d ) 30.16/30.39 ( d, a, d, d, a, d ) 30.16/30.39 ( d, a, b, d, a, b ) 30.16/30.39 ( d, a, a, d, a, a ) 30.16/30.39 ( d, a, (ho_5 k_4 d), d, a, d ) 30.16/30.39 ( d, (ho_5 k_4 d), d, b, b, d ) 30.16/30.39 ( d, (ho_5 k_4 d), b, d, d, b ) 30.16/30.39 ( d, (ho_5 k_4 d), a, d, d, a ) 30.16/30.39 ( d, (ho_5 k_4 d), (ho_5 k_4 d), d, d, d ) 30.16/30.39 ( d, skv_22, a, a, skv_22, a ) 30.16/30.39 ( b, d, d, b, b, b ) 30.16/30.39 ( b, d, b, b, d, b ) 30.16/30.39 ( b, d, a, b, d, a ) 30.16/30.39 ( b, d, (ho_5 k_4 d), b, b, b ) 30.16/30.39 ( b, b, d, b, b, b ) 30.16/30.39 ( b, b, c, b, b, b ) 30.16/30.39 ( b, b, b, b, b, b ) 30.16/30.39 ( b, b, a, b, b, a ) 30.16/30.39 ( b, b, (ho_5 k_4 d), b, b, b ) 30.16/30.39 ( b, a, d, b, a, d ) 30.16/30.39 ( b, a, d, b, a, b ) 30.16/30.39 ( b, a, b, b, a, b ) 30.16/30.39 ( b, a, a, b, a, a ) 30.16/30.39 ( b, a, (ho_5 k_4 d), b, a, b ) 30.16/30.39 ( b, (ho_5 k_4 d), d, b, b, d ) 30.16/30.39 ( b, (ho_5 k_4 d), b, b, b, b ) 30.16/30.39 ( b, (ho_5 k_4 d), a, b, b, a ) 30.16/30.39 ( b, (ho_5 k_4 d), (ho_5 k_4 d), b, b, b ) 30.16/30.39 ( b, skv_22, d, b, b, b ) 30.16/30.39 ( b, skv_22, d, b, a, d ) 30.16/30.39 ( a, d, d, a, d, d ) 30.16/30.39 ( a, d, b, a, d, b ) 30.16/30.39 ( a, d, a, a, d, a ) 30.16/30.39 ( a, d, (ho_5 k_4 d), a, d, d ) 30.16/30.39 ( a, b, d, a, b, d ) 30.16/30.39 ( a, b, d, a, b, b ) 30.16/30.39 ( a, b, c, a, b, c ) 30.16/30.39 ( a, b, b, a, b, b ) 30.16/30.39 ( a, b, a, a, b, a ) 30.16/30.39 ( a, b, (ho_5 k_4 d), a, b, d ) 30.16/30.39 ( a, a, d, a, a, d ) 30.16/30.39 ( a, a, b, a, a, b ) 30.16/30.39 ( a, a, a, a, a, a ) 30.16/30.39 ( a, a, (ho_5 k_4 d), a, a, b ) 30.16/30.39 ( a, (ho_5 k_4 d), d, a, d, a ) 30.16/30.39 ( a, (ho_5 k_4 d), b, a, b, b ) 30.16/30.39 ( a, (ho_5 k_4 d), a, a, d, a ) 30.16/30.39 ( a, (ho_5 k_4 d), (ho_5 k_4 d), a, d, a ) 30.16/30.39 ( (ho_5 k_4 d), d, d, d, d, b ) 30.16/30.39 ( (ho_5 k_4 d), d, b, d, b, b ) 30.16/30.39 ( (ho_5 k_4 d), d, a, b, b, a ) 30.16/30.39 ( (ho_5 k_4 d), d, (ho_5 k_4 d), d, d, d ) 30.16/30.39 ( (ho_5 k_4 d), b, d, b, b, d ) 30.16/30.39 ( (ho_5 k_4 d), b, b, b, b, b ) 30.16/30.39 ( (ho_5 k_4 d), b, a, b, b, a ) 30.16/30.39 ( (ho_5 k_4 d), b, (ho_5 k_4 d), b, b, d ) 30.16/30.39 ( (ho_5 k_4 d), a, d, d, a, d ) 30.16/30.39 ( (ho_5 k_4 d), a, c, d, a, (ho_5 k_4 d) ) 30.16/30.39 ( (ho_5 k_4 d), a, b, d, a, b ) 30.16/30.39 ( (ho_5 k_4 d), a, a, d, a, a ) 30.16/30.39 ( (ho_5 k_4 d), a, (ho_5 k_4 d), b, a, d ) 30.16/30.39 ( (ho_5 k_4 d), (ho_5 k_4 d), d, a, d, b ) 30.16/30.39 ( (ho_5 k_4 d), (ho_5 k_4 d), b, a, b, b ) 30.16/30.39 ( (ho_5 k_4 d), (ho_5 k_4 d), a, b, b, a ) 30.16/30.39 ( (ho_5 k_4 d), (ho_5 k_4 d), (ho_5 k_4 d), d, d, b ) 30.16/30.39 ( (ho_5 k_4 d), (ho_5 k_4 d), (ho_5 k_4 d), a, a, d ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((Xx $$unsorted)) (ho_3 (ho_2 k_11 d) Xx) ) 30.16/30.39 ( d ) 30.16/30.39 ( b ) 30.16/30.39 ( a ) 30.16/30.39 ( (ho_5 k_4 d) ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (ho_3 (ho_2 k_11 (ho_5 k_4 Xx)) Xy) (not (ho_3 (ho_2 k_11 Xx) Xy))) ) 30.16/30.39 ( d, d ) 30.16/30.39 ( d, b ) 30.16/30.39 ( d, a ) 30.16/30.39 ( d, (ho_5 k_4 d) ) 30.16/30.39 ( c, d ) 30.16/30.39 ( c, c ) 30.16/30.39 ( c, b ) 30.16/30.39 ( c, a ) 30.16/30.39 ( c, (ho_5 k_4 d) ) 30.16/30.39 ( b, d ) 30.16/30.39 ( b, b ) 30.16/30.39 ( b, a ) 30.16/30.39 ( a, d ) 30.16/30.39 ( a, b ) 30.16/30.39 ( a, a ) 30.16/30.39 ( a, (ho_5 k_4 d) ) 30.16/30.39 ( (ho_5 k_4 d), d ) 30.16/30.39 ( skv_22, d ) 30.16/30.39 ( skv_22, b ) 30.16/30.39 ( skv_22, a ) 30.16/30.39 ( skv_22, (ho_5 k_4 d) ) 30.16/30.39 ( skv_22, skv_22 ) 30.16/30.39 ( skv_22, skv_58 ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (ho_3 (ho_2 k_11 (ho_5 k_4 Xx)) Xu)) (not (ho_3 (ho_2 k_11 (ho_5 k_4 Xy)) Xv)) (not (ho_3 (ho_2 k_11 (ho_5 k_4 Xz)) Xw)) (ho_3 (ho_2 (ho_7 k_12 Xu) Xv) Xw) (not (ho_3 (ho_2 (ho_7 k_10 Xx) Xy) Xz))) ) 30.16/30.39 ( d, d, d, d, d, d ) 30.16/30.39 ( d, d, b, d, d, d ) 30.16/30.39 ( d, d, b, d, d, b ) 30.16/30.39 ( d, d, b, d, d, a ) 30.16/30.39 ( d, d, a, d, d, d ) 30.16/30.39 ( d, d, a, d, d, a ) 30.16/30.39 ( d, d, (ho_5 k_4 d), d, d, d ) 30.16/30.39 ( d, d, skv_22, d, d, (ho_5 k_4 d) ) 30.16/30.39 ( d, d, skv_22, d, d, skv_22 ) 30.16/30.39 ( d, d, skv_22, d, b, skv_58 ) 30.16/30.39 ( d, d, skv_58, d, d, d ) 30.16/30.39 ( d, d, skv_58, d, d, b ) 30.16/30.39 ( d, d, skv_58, d, d, a ) 30.16/30.39 ( d, d, skv_58, d, d, (ho_5 k_4 d) ) 30.16/30.39 ( d, d, skv_58, d, b, skv_58 ) 30.16/30.39 ( d, c, b, d, c, b ) 30.16/30.39 ( d, b, d, d, b, d ) 30.16/30.39 ( d, b, c, d, b, skv_58 ) 30.16/30.39 ( d, b, b, d, b, b ) 30.16/30.39 ( d, b, a, d, b, a ) 30.16/30.39 ( d, b, (ho_5 k_4 d), d, b, d ) 30.16/30.39 ( d, a, d, d, a, d ) 30.16/30.39 ( d, a, c, b, a, c ) 30.16/30.39 ( d, a, b, d, a, b ) 30.16/30.39 ( d, a, a, d, a, a ) 30.16/30.39 ( d, a, (ho_5 k_4 d), d, a, d ) 30.16/30.39 ( d, (ho_5 k_4 d), d, d, d, d ) 30.16/30.39 ( d, (ho_5 k_4 d), b, d, d, b ) 30.16/30.39 ( d, (ho_5 k_4 d), a, d, d, a ) 30.16/30.39 ( d, (ho_5 k_4 d), (ho_5 k_4 d), d, d, d ) 30.16/30.39 ( b, d, d, b, d, d ) 30.16/30.39 ( b, d, b, b, d, b ) 30.16/30.39 ( b, d, a, b, d, a ) 30.16/30.39 ( b, d, (ho_5 k_4 d), b, d, d ) 30.16/30.39 ( b, d, skv_22, b, d, b ) 30.16/30.39 ( b, d, skv_22, b, d, a ) 30.16/30.39 ( b, b, d, b, b, b ) 30.16/30.39 ( b, b, b, b, b, b ) 30.16/30.39 ( b, b, a, b, b, a ) 30.16/30.39 ( b, b, (ho_5 k_4 d), b, b, d ) 30.16/30.39 ( b, a, d, b, a, d ) 30.16/30.39 ( b, a, b, b, a, b ) 30.16/30.39 ( b, a, a, b, a, a ) 30.16/30.39 ( b, a, (ho_5 k_4 d), b, a, d ) 30.16/30.39 ( b, (ho_5 k_4 d), (ho_5 k_4 d), b, d, d ) 30.16/30.39 ( a, d, d, a, d, d ) 30.16/30.39 ( a, d, c, a, b, c ) 30.16/30.39 ( a, d, b, b, a, b ) 30.16/30.39 ( a, d, b, a, d, b ) 30.16/30.39 ( a, d, a, a, d, a ) 30.16/30.39 ( a, d, (ho_5 k_4 d), a, d, d ) 30.16/30.39 ( a, b, d, a, b, d ) 30.16/30.39 ( a, b, d, a, b, b ) 30.16/30.39 ( a, b, d, a, b, a ) 30.16/30.39 ( a, b, c, a, b, c ) 30.16/30.39 ( a, b, b, a, b, b ) 30.16/30.39 ( a, b, a, a, b, a ) 30.16/30.39 ( a, b, (ho_5 k_4 d), a, b, d ) 30.16/30.39 ( a, a, d, a, a, d ) 30.16/30.39 ( a, a, b, a, a, b ) 30.16/30.39 ( a, a, a, a, a, a ) 30.16/30.39 ( a, a, (ho_5 k_4 d), a, a, d ) 30.16/30.39 ( a, skv_22, d, a, b, d ) 30.16/30.39 ( a, skv_22, d, a, (ho_5 k_4 d), a ) 30.16/30.39 ( a, skv_22, d, (ho_5 k_4 d), c, d ) 30.16/30.39 ( a, skv_22, a, a, d, a ) 30.16/30.39 ( (ho_5 k_4 d), d, d, d, d, d ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((Xx $$unsorted)) (ho_3 (ho_2 k_13 d) Xx) ) 30.16/30.39 ( d ) 30.16/30.39 ( c ) 30.16/30.39 ( b ) 30.16/30.39 ( a ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not (ho_3 (ho_2 k_13 Xx) Xy)) (ho_3 (ho_2 k_13 (ho_5 k_4 Xx)) Xy)) ) 30.16/30.39 ( d, d ) 30.16/30.39 ( d, c ) 30.16/30.39 ( d, b ) 30.16/30.39 ( d, a ) 30.16/30.39 ( c, d ) 30.16/30.39 ( c, c ) 30.16/30.39 ( c, b ) 30.16/30.39 ( c, a ) 30.16/30.39 ( c, (ho_5 k_4 d) ) 30.16/30.39 ( b, d ) 30.16/30.39 ( b, b ) 30.16/30.39 ( b, a ) 30.16/30.39 ( a, d ) 30.16/30.39 ( a, b ) 30.16/30.39 ( a, a ) 30.16/30.39 ( (ho_5 k_4 d), d ) 30.16/30.39 ( (ho_5 k_4 d), b ) 30.16/30.39 ( skv_22, d ) 30.16/30.39 ( skv_22, c ) 30.16/30.39 ( skv_22, b ) 30.16/30.39 ( skv_22, a ) 30.16/30.39 ( skv_22, (ho_5 k_4 d) ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (ho_3 (ho_2 k_14 (ho_5 k_4 Xx)) Xy) (not (ho_3 (ho_2 k_14 Xx) Xy))) ) 30.16/30.39 ( d, d ) 30.16/30.39 ( d, c ) 30.16/30.39 ( d, b ) 30.16/30.39 ( d, a ) 30.16/30.39 ( c, d ) 30.16/30.39 ( c, c ) 30.16/30.39 ( c, b ) 30.16/30.39 ( c, a ) 30.16/30.39 ( b, d ) 30.16/30.39 ( b, c ) 30.16/30.39 ( b, b ) 30.16/30.39 ( b, a ) 30.16/30.39 ( a, d ) 30.16/30.39 ( a, c ) 30.16/30.39 ( a, b ) 30.16/30.39 ( a, a ) 30.16/30.39 ( (ho_5 k_4 d), d ) 30.16/30.39 ( (ho_5 k_4 d), c ) 30.16/30.39 ( (ho_5 k_4 d), a ) 30.16/30.39 ( skv_22, a ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted)) (not (ho_3 (ho_2 (ho_7 k_15 Xx) Xy) Xz)) ) 30.16/30.39 ( d, d, d ) 30.16/30.39 ( d, d, c ) 30.16/30.39 ( d, d, b ) 30.16/30.39 ( d, d, a ) 30.16/30.39 ( d, b, d ) 30.16/30.39 ( d, b, c ) 30.16/30.39 ( b, d, d ) 30.16/30.39 ( b, d, c ) 30.16/30.39 ( b, c, d ) 30.16/30.39 ( b, b, d ) 30.16/30.39 ( a, d, d ) 30.16/30.39 ( a, d, c ) 30.16/30.39 ( a, b, d ) 30.16/30.39 ( a, b, c ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (ho_3 (ho_2 (ho_7 k_16 Xx) Xy) Xz)) (not (ho_3 (ho_2 k_14 (ho_5 k_4 Xx)) Xu)) (not (ho_3 (ho_2 k_14 (ho_5 k_4 Xy)) Xv)) (not (ho_3 (ho_2 k_14 (ho_5 k_4 Xz)) Xw)) (ho_3 (ho_2 (ho_7 k_15 Xu) Xv) Xw)) ) 30.16/30.39 ( d, d, d, d, d, d ) 30.16/30.39 ( d, d, c, d, d, d ) 30.16/30.39 ( d, d, b, d, d, d ) 30.16/30.39 ( d, d, a, d, d, d ) 30.16/30.39 ( d, d, (ho_5 k_4 d), d, d, d ) 30.16/30.39 ( d, d, skv_22, d, d, a ) 30.16/30.39 ( d, c, d, d, d, d ) 30.16/30.39 ( d, c, c, a, b, c ) 30.16/30.39 ( d, c, b, d, d, b ) 30.16/30.39 ( d, c, a, d, d, b ) 30.16/30.39 ( d, c, (ho_5 k_4 d), b, d, c ) 30.16/30.39 ( d, b, d, d, d, d ) 30.16/30.39 ( d, b, c, d, d, c ) 30.16/30.39 ( d, b, b, d, d, d ) 30.16/30.39 ( d, b, a, d, d, d ) 30.16/30.39 ( d, b, (ho_5 k_4 d), d, d, c ) 30.16/30.39 ( d, b, skv_22, d, d, a ) 30.16/30.39 ( d, a, d, d, d, d ) 30.16/30.39 ( d, a, c, d, d, d ) 30.16/30.39 ( d, a, b, d, d, d ) 30.16/30.39 ( d, a, a, d, d, d ) 30.16/30.39 ( d, a, (ho_5 k_4 d), d, d, c ) 30.16/30.39 ( d, a, skv_22, d, d, a ) 30.16/30.39 ( c, d, d, d, d, d ) 30.16/30.39 ( c, d, b, d, d, d ) 30.16/30.39 ( c, b, d, d, b, d ) 30.16/30.39 ( c, b, b, d, d, a ) 30.16/30.39 ( c, b, a, d, d, a ) 30.16/30.39 ( c, a, d, d, d, a ) 30.16/30.39 ( c, a, b, d, d, a ) 30.16/30.39 ( b, d, d, d, d, d ) 30.16/30.39 ( b, d, c, d, b, d ) 30.16/30.39 ( b, d, b, d, d, c ) 30.16/30.39 ( b, d, b, d, d, b ) 30.16/30.39 ( b, d, a, d, d, c ) 30.16/30.39 ( b, d, a, d, d, b ) 30.16/30.39 ( b, d, a, d, d, a ) 30.16/30.39 ( b, d, (ho_5 k_4 d), d, d, c ) 30.16/30.39 ( b, d, skv_22, d, d, a ) 30.16/30.39 ( b, c, d, d, d, a ) 30.16/30.39 ( b, c, c, b, d, d ) 30.16/30.39 ( b, c, b, d, d, a ) 30.16/30.39 ( b, c, a, b, d, d ) 30.16/30.39 ( b, c, (ho_5 k_4 d), a, d, c ) 30.16/30.39 ( b, b, d, d, d, d ) 30.16/30.39 ( b, b, c, d, d, d ) 30.16/30.39 ( b, b, b, d, d, d ) 30.16/30.39 ( b, b, a, d, d, d ) 30.16/30.39 ( b, b, (ho_5 k_4 d), b, d, d ) 30.16/30.39 ( b, a, d, d, d, d ) 30.16/30.39 ( b, a, c, a, b, c ) 30.16/30.39 ( b, a, b, d, d, d ) 30.16/30.39 ( b, a, a, d, d, d ) 30.16/30.39 ( b, a, (ho_5 k_4 d), d, b, c ) 30.16/30.39 ( a, d, d, d, d, d ) 30.16/30.39 ( a, d, c, d, d, d ) 30.16/30.39 ( a, d, b, d, d, d ) 30.16/30.39 ( a, d, a, d, d, d ) 30.16/30.39 ( a, d, (ho_5 k_4 d), b, d, d ) 30.16/30.39 ( a, b, d, d, d, d ) 30.16/30.39 ( a, b, d, d, b, c ) 30.16/30.39 ( a, b, d, b, d, c ) 30.16/30.39 ( a, b, d, a, b, c ) 30.16/30.39 ( a, b, c, a, b, c ) 30.16/30.39 ( a, b, b, d, d, d ) 30.16/30.39 ( a, b, b, a, b, d ) 30.16/30.39 ( a, b, a, d, d, d ) 30.16/30.39 ( a, b, (ho_5 k_4 d), d, b, c ) 30.16/30.39 ( a, a, d, d, d, d ) 30.16/30.39 ( a, a, c, a, b, d ) 30.16/30.39 ( a, a, b, d, d, d ) 30.16/30.39 ( a, a, a, d, d, d ) 30.16/30.39 ( a, a, (ho_5 k_4 d), b, d, d ) 30.16/30.39 ( (ho_5 k_4 d), b, d, d, b, d ) 30.16/30.39 ( (ho_5 k_4 d), b, b, d, b, d ) 30.16/30.39 ( (ho_5 k_4 d), b, a, a, d, d ) 30.16/30.39 ( (ho_5 k_4 d), a, b, a, b, d ) 30.16/30.39 ( skv_22, a, b, a, b, c ) 30.16/30.39 ( skv_34, d, c, b, b, d ) 30.16/30.39 ( skv_34, d, a, a, d, d ) 30.16/30.39 ( skv_34, b, c, b, c, d ) 30.16/30.39 ( skv_34, b, (ho_5 k_4 d), b, d, c ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((Xx $$unsorted)) (ho_3 (ho_2 k_14 d) Xx) ) 30.16/30.39 ( d ) 30.16/30.39 ( c ) 30.16/30.39 ( b ) 30.16/30.39 ( a ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (ho_3 (ho_2 k_13 (ho_5 k_4 Xx)) Xu)) (ho_3 (ho_2 (ho_7 k_16 Xu) Xv) Xw) (not (ho_3 (ho_2 k_13 (ho_5 k_4 Xz)) Xw)) (not (ho_3 (ho_2 k_13 (ho_5 k_4 Xy)) Xv)) (not (ho_3 (ho_2 (ho_7 k_12 Xx) Xy) Xz))) ) 30.16/30.39 ( d, d, d, d, d, d ) 30.16/30.39 ( d, d, c, d, d, c ) 30.16/30.39 ( d, d, b, d, d, b ) 30.16/30.39 ( d, d, a, d, d, d ) 30.16/30.39 ( d, d, a, d, d, b ) 30.16/30.39 ( d, d, a, d, d, a ) 30.16/30.39 ( d, d, (ho_5 k_4 d), d, d, d ) 30.16/30.39 ( d, d, skv_22, d, d, a ) 30.16/30.39 ( d, c, d, b, c, b ) 30.16/30.39 ( d, c, b, b, c, b ) 30.16/30.39 ( d, c, a, d, c, a ) 30.16/30.39 ( d, c, (ho_5 k_4 d), d, c, b ) 30.16/30.39 ( d, b, d, d, d, d ) 30.16/30.39 ( d, b, d, d, b, d ) 30.16/30.39 ( d, b, b, d, b, b ) 30.16/30.39 ( d, b, a, d, b, a ) 30.16/30.39 ( d, b, (ho_5 k_4 d), d, b, d ) 30.16/30.39 ( d, b, skv_58, d, b, d ) 30.16/30.39 ( d, b, skv_58, d, b, c ) 30.16/30.39 ( d, b, skv_58, d, b, b ) 30.16/30.39 ( d, b, skv_58, d, b, a ) 30.16/30.39 ( d, b, skv_58, d, b, (ho_5 k_4 d) ) 30.16/30.39 ( d, a, d, d, a, d ) 30.16/30.39 ( d, a, c, b, a, c ) 30.16/30.39 ( d, a, b, d, a, b ) 30.16/30.39 ( d, a, a, d, a, a ) 30.16/30.39 ( d, a, (ho_5 k_4 d), b, a, b ) 30.16/30.39 ( d, (ho_5 k_4 d), d, d, d, d ) 30.16/30.39 ( d, (ho_5 k_4 d), c, b, b, c ) 30.16/30.39 ( d, (ho_5 k_4 d), b, d, d, b ) 30.16/30.39 ( d, (ho_5 k_4 d), a, d, d, a ) 30.16/30.39 ( d, (ho_5 k_4 d), (ho_5 k_4 d), d, b, d ) 30.16/30.39 ( d, skv_22, d, d, d, d ) 30.16/30.39 ( d, skv_22, (ho_5 k_4 d), d, b, d ) 30.16/30.39 ( c, d, d, c, b, b ) 30.16/30.39 ( c, d, b, c, b, b ) 30.16/30.39 ( c, d, a, c, b, a ) 30.16/30.39 ( c, d, (ho_5 k_4 d), c, d, d ) 30.16/30.39 ( c, b, d, skv_34, b, b ) 30.16/30.39 ( c, b, b, skv_34, b, b ) 30.16/30.39 ( c, a, d, c, a, d ) 30.16/30.39 ( c, a, b, c, a, b ) 30.16/30.39 ( b, d, d, b, d, d ) 30.16/30.39 ( b, d, c, b, d, c ) 30.16/30.39 ( b, d, b, b, d, b ) 30.16/30.39 ( b, d, b, b, b, b ) 30.16/30.39 ( b, d, a, b, d, a ) 30.16/30.39 ( b, d, a, b, b, a ) 30.16/30.39 ( b, d, (ho_5 k_4 d), b, d, d ) 30.16/30.39 ( b, d, skv_22, b, d, c ) 30.16/30.39 ( b, d, skv_22, b, b, (ho_5 k_4 d) ) 30.16/30.39 ( b, b, d, b, b, d ) 30.16/30.39 ( b, b, c, b, b, c ) 30.16/30.39 ( b, b, b, b, b, b ) 30.16/30.39 ( b, b, a, b, b, a ) 30.16/30.39 ( b, b, (ho_5 k_4 d), b, b, d ) 30.16/30.39 ( b, a, d, b, a, d ) 30.16/30.39 ( b, a, c, b, a, c ) 30.16/30.39 ( b, a, b, b, a, b ) 30.16/30.39 ( b, a, a, b, a, a ) 30.16/30.39 ( b, a, (ho_5 k_4 d), b, a, b ) 30.16/30.39 ( b, (ho_5 k_4 d), d, b, b, d ) 30.16/30.39 ( b, (ho_5 k_4 d), b, b, d, b ) 30.16/30.39 ( b, (ho_5 k_4 d), a, b, d, a ) 30.16/30.39 ( b, (ho_5 k_4 d), (ho_5 k_4 d), b, d, b ) 30.16/30.39 ( a, d, d, a, d, d ) 30.16/30.39 ( a, d, c, a, b, c ) 30.16/30.39 ( a, d, b, a, d, b ) 30.16/30.39 ( a, d, a, a, d, a ) 30.16/30.39 ( a, d, (ho_5 k_4 d), a, d, d ) 30.16/30.39 ( a, b, d, a, b, d ) 30.16/30.39 ( a, b, d, a, b, b ) 30.16/30.39 ( a, b, d, a, a, d ) 30.16/30.39 ( a, b, c, a, b, c ) 30.16/30.39 ( a, b, b, a, b, b ) 30.16/30.39 ( a, b, a, a, b, a ) 30.16/30.39 ( a, b, (ho_5 k_4 d), a, b, d ) 30.16/30.39 ( a, a, d, a, a, d ) 30.16/30.39 ( a, a, c, a, a, c ) 30.16/30.39 ( a, a, b, a, a, b ) 30.16/30.39 ( a, a, a, a, a, a ) 30.16/30.39 ( a, a, (ho_5 k_4 d), a, a, d ) 30.16/30.39 ( a, (ho_5 k_4 d), d, a, d, d ) 30.16/30.39 ( a, (ho_5 k_4 d), b, a, d, b ) 30.16/30.39 ( a, (ho_5 k_4 d), a, a, d, a ) 30.16/30.39 ( (ho_5 k_4 d), d, d, d, d, d ) 30.16/30.39 ( (ho_5 k_4 d), d, c, d, d, c ) 30.16/30.39 ( (ho_5 k_4 d), d, b, b, d, b ) 30.16/30.39 ( (ho_5 k_4 d), d, a, b, d, a ) 30.16/30.39 ( (ho_5 k_4 d), d, (ho_5 k_4 d), d, b, d ) 30.16/30.39 ( (ho_5 k_4 d), c, d, b, c, d ) 30.16/30.39 ( (ho_5 k_4 d), c, b, b, c, b ) 30.16/30.39 ( (ho_5 k_4 d), b, d, b, b, b ) 30.16/30.39 ( (ho_5 k_4 d), b, b, b, b, b ) 30.16/30.39 ( (ho_5 k_4 d), b, a, d, b, a ) 30.16/30.39 ( (ho_5 k_4 d), b, (ho_5 k_4 d), d, b, d ) 30.16/30.39 ( (ho_5 k_4 d), a, d, d, a, d ) 30.16/30.39 ( (ho_5 k_4 d), a, b, d, a, b ) 30.16/30.39 ( (ho_5 k_4 d), a, a, d, a, a ) 30.16/30.39 ( (ho_5 k_4 d), a, (ho_5 k_4 d), d, a, d ) 30.16/30.39 ( (ho_5 k_4 d), (ho_5 k_4 d), d, d, d, d ) 30.16/30.39 ( (ho_5 k_4 d), (ho_5 k_4 d), c, d, d, c ) 30.16/30.39 ( (ho_5 k_4 d), (ho_5 k_4 d), b, b, b, b ) 30.16/30.39 ( (ho_5 k_4 d), (ho_5 k_4 d), a, d, d, a ) 30.16/30.39 ( (ho_5 k_4 d), (ho_5 k_4 d), (ho_5 k_4 d), d, d, d ) 30.16/30.39 ( skv_57, d, d, d, c, d ) 30.16/30.39 ( skv_57, d, d, b, d, d ) 30.16/30.39 ( skv_57, d, d, a, d, d ) 30.16/30.39 ( skv_57, b, (ho_5 k_4 d), skv_34, b, b ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (ho_3 (ho_2 k_9 (ho_5 k_4 Xx)) Xy) (not (ho_3 (ho_2 k_9 Xx) Xy))) ) 30.16/30.39 ( d, d ) 30.16/30.39 ( d, b ) 30.16/30.39 ( d, a ) 30.16/30.39 ( c, d ) 30.16/30.39 ( c, c ) 30.16/30.39 ( c, b ) 30.16/30.39 ( c, a ) 30.16/30.39 ( c, (ho_5 k_4 d) ) 30.16/30.39 ( c, skv_22 ) 30.16/30.39 ( b, d ) 30.16/30.39 ( b, b ) 30.16/30.39 ( b, a ) 30.16/30.39 ( a, d ) 30.16/30.39 ( a, b ) 30.16/30.39 ( a, a ) 30.16/30.39 ( (ho_5 k_4 d), d ) 30.16/30.39 ( (ho_5 k_4 d), b ) 30.16/30.39 ( (ho_5 k_4 d), a ) 30.16/30.39 ( skv_22, d ) 30.16/30.39 ( skv_22, b ) 30.16/30.39 ( skv_22, a ) 30.16/30.39 ( skv_22, (ho_5 k_4 d) ) 30.16/30.39 ( skv_22, skv_22 ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((Xx $$unsorted)) (ho_3 (ho_2 k_9 d) Xx) ) 30.16/30.39 ( d ) 30.16/30.39 ( b ) 30.16/30.39 ( a ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not (ho_3 (ho_2 k_1 Xx) Xy)) (ho_3 (ho_2 k_1 (ho_5 k_4 Xx)) Xy)) ) 30.16/30.39 ( d, d ) 30.16/30.39 ( d, b ) 30.16/30.39 ( d, a ) 30.16/30.39 ( d, (ho_5 k_4 d) ) 30.16/30.39 ( c, d ) 30.16/30.39 ( c, c ) 30.16/30.39 ( c, b ) 30.16/30.39 ( c, a ) 30.16/30.39 ( c, (ho_5 k_4 d) ) 30.16/30.39 ( c, skv_22 ) 30.16/30.39 ( b, d ) 30.16/30.39 ( b, b ) 30.16/30.39 ( b, a ) 30.16/30.39 ( b, (ho_5 k_4 d) ) 30.16/30.39 ( a, d ) 30.16/30.39 ( a, b ) 30.16/30.39 ( a, a ) 30.16/30.39 ( (ho_5 k_4 d), d ) 30.16/30.39 ( (ho_5 k_4 d), b ) 30.16/30.39 ( (ho_5 k_4 d), a ) 30.16/30.39 ( skv_22, d ) 30.16/30.39 ( skv_22, b ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((x |u_(-> $$unsorted $$unsorted $$unsorted Bool)|) (y |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_7 x z) (ho_7 y z)) )) (= x y)) ) 30.16/30.39 ( k_8, k_12 ) 30.16/30.39 ( k_8, k_16 ) 30.16/30.39 ( k_16, k_8 ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((x |u_(-> $$unsorted $$unsorted)|) (y |u_(-> $$unsorted $$unsorted)|)) (or (not (forall ((z $$unsorted)) (= (ho_5 x z) (ho_5 y z)) )) (= x y)) ) 30.16/30.39 ( k_4, skv_19 ) 30.16/30.39 ( |e_|u_(-> $$unsorted $$unsorted)|_17|, |e_|u_(-> $$unsorted $$unsorted)|_17| ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_3 x z) (ho_3 y z)) )) (= x y)) ) 30.16/30.39 ( (ho_2 k_1 c), (ho_2 (ho_7 k_8 a) b) ) 30.16/30.39 ( (ho_2 (ho_7 k_8 a) b), (ho_2 k_11 b) ) 30.16/30.39 ( (ho_2 (ho_7 k_8 a) b), (ho_2 k_1 c) ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((x |u_(-> $$unsorted $$unsorted Bool)|) (y |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_2 x z) (ho_2 y z)) )) (= x y)) ) 30.16/30.39 ( k_1, k_11 ) 30.16/30.39 ( k_1, (ho_7 k_8 a) ) 30.16/30.39 ( (ho_7 k_8 a), k_1 ) 30.16/30.39 ( (ho_7 k_8 a), k_11 ) 30.16/30.39 ) 30.16/30.39 (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_7 v ii) (ite (= i ii) e (ho_7 u ii))) )) )) ) 30.16/30.39 ( k_8, k_1, c ) 30.16/30.39 ( k_8, (ho_7 k_8 a), c ) 30.16/30.39 ( k_8, (ho_7 k_8 a), b ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((u |u_(-> $$unsorted $$unsorted)|) (e $$unsorted) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_5 v ii) (ite (= i ii) e (ho_5 u ii))) )) )) ) 30.16/30.39 ( k_4, c, c ) 30.16/30.39 ( k_4, c, b ) 30.16/30.39 ( |e_|u_(-> $$unsorted $$unsorted)|_17|, c, c ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii))) )) )) ) 30.16/30.39 ( (ho_2 (ho_7 k_8 a) b), false, c ) 30.16/30.39 ( (ho_2 (ho_7 k_8 a) b), (ho_3 (ho_2 (ho_7 k_8 a) b) c), c ) 30.16/30.39 ( (ho_2 (ho_7 k_8 a) b), (ho_3 (ho_2 (ho_7 k_8 a) b) c), b ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((u |u_(-> $$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))) )) )) ) 30.16/30.39 ( (ho_7 k_8 a), (ho_2 k_1 c), c ) 30.16/30.39 ( (ho_7 k_8 a), (ho_2 (ho_7 k_8 a) b), c ) 30.16/30.39 ( (ho_7 k_8 a), (ho_2 (ho_7 k_8 a) b), b ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) (ho_7 k_8 a) (ho_7 k_8 ii)) (ho_7 skv_18 ii)) ) 30.16/30.39 ( d ) 30.16/30.39 ( b ) 30.16/30.39 ( a ) 30.16/30.39 ( (ho_5 k_4 d) ) 30.16/30.39 ( skv_34 ) 30.16/30.39 ( skv_57 ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) c (ho_5 |e_|u_(-> $$unsorted $$unsorted)|_17| ii)) (ho_5 skv_19 ii)) ) 30.16/30.39 ( d ) 30.16/30.39 ( b ) 30.16/30.39 ( skv_58 ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((ii $$unsorted)) (= (ho_3 skv_20 ii) (ite (= c ii) false (ho_3 (ho_2 (ho_7 k_8 a) b) ii))) ) 30.16/30.39 ( d ) 30.16/30.39 ( c ) 30.16/30.39 ( b ) 30.16/30.39 ( a ) 30.16/30.39 ( (ho_5 k_4 d) ) 30.16/30.39 ( skv_22 ) 30.16/30.39 ( skv_59 ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((ii $$unsorted)) (let ((_let_0 (ho_7 k_8 a))) (= (ite (= c ii) (ho_2 _let_0 b) (ho_2 _let_0 ii)) (ho_2 skv_21 ii))) ) 30.16/30.39 ( d ) 30.16/30.39 ( b ) 30.16/30.39 ( a ) 30.16/30.39 ( (ho_5 k_4 d) ) 30.16/30.39 ( skv_22 ) 30.16/30.39 ( skv_23 ) 30.16/30.39 ( skv_35 ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) c (ho_5 k_4 ii)) (ho_5 skv_30 ii)) ) 30.16/30.39 ( d ) 30.16/30.39 ( b ) 30.16/30.39 ( a ) 30.16/30.39 ( (ho_5 k_4 d) ) 30.16/30.39 ( skv_22 ) 30.16/30.39 ( skv_58 ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((ii $$unsorted)) (= (ite (= b ii) (ho_7 k_8 a) (ho_7 k_8 ii)) (ho_7 skv_31 ii)) ) 30.16/30.39 ( d ) 30.16/30.39 ( b ) 30.16/30.39 ( a ) 30.16/30.39 ( (ho_5 k_4 d) ) 30.16/30.39 ( skv_34 ) 30.16/30.39 ( skv_57 ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((ii $$unsorted)) (let ((_let_0 (ho_2 (ho_7 k_8 a) b))) (= (ho_3 skv_32 ii) (ite (= c ii) (ho_3 _let_0 c) (ho_3 _let_0 ii)))) ) 30.16/30.39 ( d ) 30.16/30.39 ( c ) 30.16/30.39 ( b ) 30.16/30.39 ( a ) 30.16/30.39 ( (ho_5 k_4 d) ) 30.16/30.39 ( skv_22 ) 30.16/30.39 ( skv_59 ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((ii $$unsorted)) (let ((_let_0 (ho_7 k_8 a))) (= (ite (= b ii) (ho_2 _let_0 b) (ho_2 _let_0 ii)) (ho_2 skv_33 ii))) ) 30.16/30.39 ( d ) 30.16/30.39 ( b ) 30.16/30.39 ( a ) 30.16/30.39 ( (ho_5 k_4 d) ) 30.16/30.39 ( skv_22 ) 30.16/30.39 ( skv_23 ) 30.16/30.39 ( skv_35 ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) k_1 (ho_7 k_8 ii)) (ho_7 skv_53 ii)) ) 30.16/30.39 ( d ) 30.16/30.39 ( b ) 30.16/30.39 ( a ) 30.16/30.39 ( (ho_5 k_4 d) ) 30.16/30.39 ( skv_57 ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((ii $$unsorted)) (= (ite (= b ii) c (ho_5 k_4 ii)) (ho_5 skv_54 ii)) ) 30.16/30.39 ( d ) 30.16/30.39 ( b ) 30.16/30.39 ( a ) 30.16/30.39 ( (ho_5 k_4 d) ) 30.16/30.39 ( skv_22 ) 30.16/30.39 ( skv_58 ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((ii $$unsorted)) (let ((_let_0 (ho_2 (ho_7 k_8 a) b))) (= (ho_3 skv_55 ii) (ite (= b ii) (ho_3 _let_0 c) (ho_3 _let_0 ii)))) ) 30.16/30.39 ( d ) 30.16/30.39 ( c ) 30.16/30.39 ( b ) 30.16/30.39 ( a ) 30.16/30.39 ( (ho_5 k_4 d) ) 30.16/30.39 ( skv_22 ) 30.16/30.39 ( skv_59 ) 30.16/30.39 ) 30.16/30.39 (instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) (ho_2 k_1 c) (ho_2 (ho_7 k_8 a) ii)) (ho_2 skv_56 ii)) ) 30.16/30.39 ( d ) 30.16/30.39 ( b ) 30.16/30.39 ( a ) 30.16/30.39 ( (ho_5 k_4 d) ) 30.16/30.39 ( skv_22 ) 30.16/30.39 ( skv_23 ) 30.16/30.39 ) 30.16/30.39 % SZS output end Proof for theBenchmark 30.16/30.40 EOF