0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : do_CVC4 %s %d 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 : 960 0.13/0.33 % WCLimit : 120 0.13/0.33 % DateTime : Thu Jul 2 08:40:31 EDT 2020 0.13/0.33 % CPUTime : 0.19/0.43 %----Proving TH0 0.19/0.44 ------- cvc4-thf casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960... 0.19/0.44 --- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20... 2.19/2.38 % SZS status Theorem for theBenchmark 2.19/2.39 % SZS output start Proof for theBenchmark 2.19/2.39 (skolem (forall ((A $$unsorted) (BOUND_VARIABLE_917 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_629 $$unsorted)) (or (not (forall ((Xx $$unsorted) (BOUND_VARIABLE_602 $$unsorted)) (or (not (ho_5 (ho_12 k_11 Xx) A)) (not (ho_5 BOUND_VARIABLE_917 Xx)) (not (ho_5 (ho_12 k_11 BOUND_VARIABLE_602) A)) (not (ho_5 BOUND_VARIABLE_917 BOUND_VARIABLE_602)) (= Xx BOUND_VARIABLE_602)) )) (not (forall ((BOUND_VARIABLE_652 $$unsorted)) (let ((_let_0 (ho_7 k_13 BOUND_VARIABLE_917))) (let ((_let_1 (ho_9 k_8 A))) (let ((_let_2 (ho_10 _let_1 _let_0))) (or (not (ho_5 (ho_12 k_11 BOUND_VARIABLE_652) _let_2)) (not (= _let_2 (ho_18 (ho_17 k_16 BOUND_VARIABLE_652) emptyset))))))) )) (not (ho_5 (ho_12 k_11 BOUND_VARIABLE_629) A)) (not (ho_5 BOUND_VARIABLE_917 BOUND_VARIABLE_629))) ) 2.19/2.39 ( skv_19 skv_20 skv_21 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_5 (ho_12 k_11 skv_21) z) (ho_5 skv_20 z)) ) 2.19/2.39 ( skv_22 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_12 k_11 Xx))) (or (not (ho_5 _let_0 skv_19)) (ho_5 _let_0 skv_21))) ) 2.19/2.39 ( skv_23 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z |u_(-> $$unsorted Bool)|)) (= (ho_7 k_13 z) (ho_7 k_6 z)) ) 2.19/2.39 ( skv_24 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_18 (ho_17 k_16 skv_21) z) (ho_18 (ho_17 k_16 skv_19) z)) ) 2.19/2.39 ( skv_25 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_12 k_11 Xx))) (or (not (ho_5 _let_0 skv_21)) (ho_5 _let_0 skv_19))) ) 2.19/2.39 ( skv_26 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z |u_(-> $$unsorted Bool)|)) (= (ho_7 k_13 z) (ho_7 k_15 z)) ) 2.19/2.39 ( skv_27 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_5 (ho_12 k_11 skv_21) z) (ho_5 (ho_7 k_13 skv_20) z)) ) 2.19/2.39 ( skv_28 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_18 (ho_17 k_16 skv_21) z) (ho_18 (ho_17 k_16 skv_23) z)) ) 2.19/2.39 ( skv_29 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_12 k_11 Xx))) (or (not (ho_5 _let_0 skv_19)) (ho_5 _let_0 emptyset))) ) 2.19/2.39 ( skv_30 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z |u_(-> $$unsorted Bool)|)) (= (ho_7 k_6 z) (ho_7 k_15 z)) ) 2.19/2.39 ( skv_31 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_5 skv_20 z) (ho_5 (ho_7 k_13 skv_20) z)) ) 2.19/2.39 ( skv_32 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_18 (ho_17 k_16 skv_19) z) (ho_18 (ho_17 k_16 skv_23) z)) ) 2.19/2.39 ( skv_33 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z |u_(-> $$unsorted Bool)|)) (= (ho_10 (ho_9 k_8 skv_19) z) (ho_10 (ho_9 k_8 skv_21) z)) ) 2.19/2.39 ( skv_34 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_12 k_11 Xx))) (or (not (ho_5 _let_0 skv_21)) (ho_5 _let_0 emptyset))) ) 2.19/2.39 ( skv_35 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z |u_(-> $$unsorted Bool)|)) (= (ho_7 k_13 z) (ho_7 k_14 z)) ) 2.19/2.39 ( skv_36 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_5 (ho_12 k_11 skv_21) z) (ho_5 (ho_7 k_6 skv_20) z)) ) 2.19/2.39 ( skv_37 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_18 (ho_17 k_16 skv_21) z) (ho_18 (ho_17 k_16 (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20))) z)) ) 2.19/2.39 ( skv_38 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z |u_(-> $$unsorted Bool)|)) (= (ho_10 (ho_9 k_8 skv_19) z) (ho_10 (ho_9 k_8 emptyset) z)) ) 2.19/2.39 ( skv_39 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_12 k_11 Xx))) (or (not (ho_5 _let_0 emptyset)) (ho_5 _let_0 skv_19))) ) 2.19/2.39 ( skv_40 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z |u_(-> $$unsorted Bool)|)) (= (ho_7 k_6 z) (ho_7 k_14 z)) ) 2.19/2.39 ( skv_41 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_5 skv_20 z) (ho_5 (ho_7 k_6 skv_20) z)) ) 2.19/2.39 ( skv_42 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_18 (ho_17 k_16 skv_19) z) (ho_18 (ho_17 k_16 (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20))) z)) ) 2.19/2.39 ( skv_43 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z |u_(-> $$unsorted Bool)|)) (= (ho_10 (ho_9 k_8 skv_21) z) (ho_10 (ho_9 k_8 emptyset) z)) ) 2.19/2.39 ( skv_44 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_12 k_11 Xx))) (or (not (ho_5 _let_0 emptyset)) (ho_5 _let_0 skv_21))) ) 2.19/2.39 ( skv_45 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z |u_(-> $$unsorted Bool)|)) (= (ho_7 k_15 z) (ho_7 k_14 z)) ) 2.19/2.39 ( skv_46 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_5 (ho_12 k_11 skv_21) z) (ho_5 (ho_7 k_15 skv_20) z)) ) 2.19/2.39 ( skv_47 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_18 (ho_17 k_16 skv_23) z) (ho_18 (ho_17 k_16 (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20))) z)) ) 2.19/2.39 ( skv_48 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_12 k_11 Xx))) (or (not (ho_5 _let_0 skv_19)) (ho_5 _let_0 (ho_18 (ho_17 k_16 skv_21) emptyset)))) ) 2.19/2.39 ( skv_49 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_5 skv_20 z) (ho_5 (ho_7 k_15 skv_20) z)) ) 2.19/2.39 ( skv_50 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_18 (ho_17 k_16 skv_21) z) (ho_18 (ho_17 k_16 skv_26) z)) ) 2.19/2.39 ( skv_51 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_12 k_11 Xx))) (or (not (ho_5 _let_0 skv_21)) (ho_5 _let_0 (ho_18 (ho_17 k_16 skv_21) emptyset)))) ) 2.19/2.39 ( skv_52 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_5 (ho_12 k_11 skv_21) z) (ho_5 (ho_7 k_14 skv_20) z)) ) 2.19/2.39 ( skv_53 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_18 (ho_17 k_16 skv_19) z) (ho_18 (ho_17 k_16 skv_26) z)) ) 2.19/2.39 ( skv_54 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_12 k_11 Xx))) (or (not (ho_5 _let_0 emptyset)) (ho_5 _let_0 (ho_18 (ho_17 k_16 skv_21) emptyset)))) ) 2.19/2.39 ( skv_55 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_5 skv_20 z) (ho_5 (ho_7 k_14 skv_20) z)) ) 2.19/2.39 ( skv_56 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_18 (ho_17 k_16 skv_23) z) (ho_18 (ho_17 k_16 skv_26) z)) ) 2.19/2.39 ( skv_57 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_12 k_11 Xx))) (or (not (ho_5 _let_0 (ho_18 (ho_17 k_16 skv_21) emptyset))) (ho_5 _let_0 skv_19))) ) 2.19/2.39 ( skv_58 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_5 (ho_12 k_11 skv_21) z) (ho_5 (ho_12 k_11 skv_19) z)) ) 2.19/2.39 ( skv_59 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_18 (ho_17 k_16 (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20))) z) (ho_18 (ho_17 k_16 skv_26) z)) ) 2.19/2.39 ( skv_60 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_12 k_11 Xx))) (or (not (ho_5 _let_0 (ho_18 (ho_17 k_16 skv_21) emptyset))) (ho_5 _let_0 skv_21))) ) 2.19/2.39 ( skv_61 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_5 skv_20 z) (ho_5 (ho_12 k_11 skv_19) z)) ) 2.19/2.39 ( skv_62 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_18 (ho_17 k_16 skv_21) z) (ho_18 (ho_17 k_16 skv_22) z)) ) 2.19/2.39 ( skv_63 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z |u_(-> $$unsorted Bool)|)) (= (ho_10 (ho_9 k_8 skv_19) z) (ho_10 (ho_9 k_8 (ho_18 (ho_17 k_16 skv_21) emptyset)) z)) ) 2.19/2.39 ( skv_64 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_12 k_11 Xx))) (or (not (ho_5 _let_0 (ho_18 (ho_17 k_16 skv_21) emptyset))) (ho_5 _let_0 emptyset))) ) 2.19/2.39 ( skv_65 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_18 (ho_17 k_16 skv_19) z) (ho_18 (ho_17 k_16 skv_22) z)) ) 2.19/2.39 ( skv_66 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z |u_(-> $$unsorted Bool)|)) (= (ho_10 (ho_9 k_8 skv_21) z) (ho_10 (ho_9 k_8 (ho_18 (ho_17 k_16 skv_21) emptyset)) z)) ) 2.19/2.39 ( skv_67 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_12 k_11 Xx))) (or (not (ho_5 _let_0 skv_19)) (ho_5 _let_0 (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20))))) ) 2.19/2.39 ( skv_68 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_18 (ho_17 k_16 skv_23) z) (ho_18 (ho_17 k_16 skv_22) z)) ) 2.19/2.39 ( skv_69 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z |u_(-> $$unsorted Bool)|)) (= (ho_10 (ho_9 k_8 emptyset) z) (ho_10 (ho_9 k_8 (ho_18 (ho_17 k_16 skv_21) emptyset)) z)) ) 2.19/2.39 ( skv_70 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_12 k_11 Xx))) (or (not (ho_5 _let_0 skv_21)) (ho_5 _let_0 (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20))))) ) 2.19/2.39 ( skv_71 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_5 (ho_12 k_11 skv_21) z) (ho_5 (ho_12 k_11 skv_23) z)) ) 2.19/2.39 ( skv_72 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_18 (ho_17 k_16 (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20))) z) (ho_18 (ho_17 k_16 skv_22) z)) ) 2.19/2.39 ( skv_73 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z |u_(-> $$unsorted Bool)|)) (let ((_let_0 (ho_9 k_8 skv_19))) (= (ho_10 _let_0 z) (ho_10 (ho_9 k_8 (ho_10 _let_0 (ho_7 k_13 skv_20))) z))) ) 2.19/2.39 ( skv_74 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_12 k_11 Xx))) (or (not (ho_5 _let_0 emptyset)) (ho_5 _let_0 (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20))))) ) 2.19/2.39 ( skv_75 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_5 skv_20 z) (ho_5 (ho_12 k_11 skv_23) z)) ) 2.19/2.39 ( skv_76 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z $$unsorted)) (= (ho_18 (ho_17 k_16 skv_26) z) (ho_18 (ho_17 k_16 skv_22) z)) ) 2.19/2.39 ( skv_77 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((z |u_(-> $$unsorted Bool)|)) (= (ho_10 (ho_9 k_8 skv_21) z) (ho_10 (ho_9 k_8 (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20))) z)) ) 2.19/2.39 ( skv_78 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_12 k_11 Xx))) (or (not (ho_5 _let_0 (ho_18 (ho_17 k_16 skv_21) emptyset))) (ho_5 _let_0 (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20))))) ) 2.19/2.39 ( skv_79 ) 2.19/2.39 ) 2.19/2.39 (skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_12 k_11 Xx))) (or (not (ho_5 _let_0 (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20)))) (ho_5 _let_0 (ho_18 (ho_17 k_16 skv_21) emptyset)))) ) 2.19/2.39 ( skv_80 ) 2.19/2.39 ) 2.19/2.39 (instantiation (forall ((A $$unsorted) (BOUND_VARIABLE_770 |u_(-> $$unsorted Bool)|) (Xx $$unsorted)) (let ((_let_0 (ho_12 k_11 Xx))) (or (not (ho_5 _let_0 A)) (not (ho_5 BOUND_VARIABLE_770 Xx)) (ho_5 _let_0 (ho_10 (ho_9 k_8 A) (ho_7 k_6 BOUND_VARIABLE_770))))) ) 2.19/2.39 ( emptyset, skv_20, emptyset ) 2.19/2.39 ( emptyset, (ho_12 k_11 skv_21), skv_19 ) 2.19/2.39 ( emptyset, (ho_12 k_11 skv_21), (ho_18 (ho_17 k_16 skv_21) emptyset) ) 2.19/2.39 ( emptyset, (ho_7 k_6 (ho_12 k_11 skv_21)), (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20)) ) 2.19/2.39 ( emptyset, (ho_7 k_6 (ho_12 k_11 skv_21)), (ho_18 (ho_17 k_16 skv_19) emptyset) ) 2.19/2.39 ( skv_19, skv_20, skv_19 ) 2.19/2.39 ( skv_19, skv_20, skv_21 ) 2.19/2.39 ( skv_19, skv_20, skv_68 ) 2.19/2.39 ( skv_19, skv_20, skv_71 ) 2.19/2.39 ( skv_19, skv_20, skv_75 ) 2.19/2.39 ( skv_19, skv_20, skv_79 ) 2.19/2.39 ( skv_19, (ho_7 k_13 skv_20), skv_21 ) 2.19/2.39 ( skv_19, (ho_12 k_11 skv_21), skv_21 ) 2.19/2.39 ( skv_19, (ho_7 k_6 (ho_12 k_11 skv_21)), skv_21 ) 2.19/2.39 ( skv_21, (ho_12 k_11 skv_21), skv_19 ) 2.19/2.39 ( skv_21, (ho_12 k_11 skv_21), (ho_18 (ho_17 k_16 skv_21) emptyset) ) 2.19/2.39 ( skv_21, (ho_7 k_6 (ho_12 k_11 skv_21)), (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20)) ) 2.19/2.39 ( skv_21, (ho_7 k_15 (ho_12 k_11 skv_21)), (ho_18 (ho_17 k_16 skv_19) emptyset) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20)), skv_20, skv_21 ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_21) emptyset), skv_20, skv_21 ) 2.19/2.39 ) 2.19/2.39 (instantiation (forall ((BOUND_VARIABLE_807 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_759 $$unsorted)) (= (ho_5 (ho_7 k_13 BOUND_VARIABLE_807) BOUND_VARIABLE_759) (ho_5 BOUND_VARIABLE_807 BOUND_VARIABLE_759)) ) 2.19/2.39 ( skv_20, emptyset ) 2.19/2.39 ( skv_20, skv_19 ) 2.19/2.39 ( skv_20, skv_21 ) 2.19/2.39 ( skv_20, (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20)) ) 2.19/2.39 ( skv_20, (ho_18 (ho_17 k_16 skv_21) emptyset) ) 2.19/2.39 ( skv_20, (ho_18 (ho_17 k_16 skv_26) emptyset) ) 2.19/2.39 ( skv_20, skv_28 ) 2.19/2.39 ( skv_20, skv_32 ) 2.19/2.39 ( skv_20, skv_35 ) 2.19/2.39 ( skv_20, skv_45 ) 2.19/2.39 ( skv_20, skv_52 ) 2.19/2.39 ( skv_20, skv_55 ) 2.19/2.39 ( skv_20, skv_58 ) 2.19/2.39 ( skv_20, skv_71 ) 2.19/2.39 ( skv_20, skv_75 ) 2.19/2.39 ( (ho_7 k_13 skv_20), skv_19 ) 2.19/2.39 ( (ho_12 k_11 skv_21), emptyset ) 2.19/2.39 ( (ho_12 k_11 skv_21), skv_19 ) 2.19/2.39 ( (ho_12 k_11 skv_21), skv_21 ) 2.19/2.39 ( (ho_12 k_11 skv_21), (ho_18 (ho_17 k_16 skv_21) emptyset) ) 2.19/2.39 ( (ho_7 k_6 (ho_12 k_11 skv_21)), emptyset ) 2.19/2.39 ( (ho_7 k_6 (ho_12 k_11 skv_21)), skv_19 ) 2.19/2.39 ( (ho_7 k_6 (ho_12 k_11 skv_21)), skv_21 ) 2.19/2.39 ( (ho_7 k_6 (ho_12 k_11 skv_21)), (ho_18 (ho_17 k_16 skv_21) emptyset) ) 2.19/2.39 ( (ho_7 k_15 (ho_12 k_11 skv_21)), emptyset ) 2.19/2.39 ( (ho_7 k_15 (ho_12 k_11 skv_21)), skv_19 ) 2.19/2.39 ( (ho_7 k_15 (ho_12 k_11 skv_21)), skv_21 ) 2.19/2.39 ( (ho_7 k_15 (ho_12 k_11 skv_21)), (ho_18 (ho_17 k_16 skv_21) emptyset) ) 2.19/2.39 ) 2.19/2.39 (instantiation (forall ((BOUND_VARIABLE_818 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_752 $$unsorted)) (= (ho_5 (ho_7 k_14 BOUND_VARIABLE_818) BOUND_VARIABLE_752) (ho_5 BOUND_VARIABLE_818 BOUND_VARIABLE_752)) ) 2.19/2.39 ( skv_20, emptyset ) 2.19/2.39 ( skv_20, skv_19 ) 2.19/2.39 ( skv_20, skv_21 ) 2.19/2.39 ( skv_20, (ho_18 (ho_17 k_16 skv_26) emptyset) ) 2.19/2.39 ( skv_20, skv_53 ) 2.19/2.39 ( skv_20, skv_56 ) 2.19/2.39 ( skv_20, skv_58 ) 2.19/2.39 ( skv_20, skv_71 ) 2.19/2.39 ( skv_20, skv_75 ) 2.19/2.39 ( (ho_7 k_13 skv_20), skv_19 ) 2.19/2.39 ( (ho_12 k_11 skv_21), emptyset ) 2.19/2.39 ( (ho_12 k_11 skv_21), skv_19 ) 2.19/2.39 ( (ho_12 k_11 skv_21), skv_21 ) 2.19/2.39 ( (ho_12 k_11 skv_21), (ho_18 (ho_17 k_16 skv_21) emptyset) ) 2.19/2.39 ( (ho_7 k_6 (ho_12 k_11 skv_21)), emptyset ) 2.19/2.39 ( (ho_7 k_6 (ho_12 k_11 skv_21)), skv_19 ) 2.19/2.39 ( (ho_7 k_6 (ho_12 k_11 skv_21)), skv_21 ) 2.19/2.39 ( (ho_7 k_6 (ho_12 k_11 skv_21)), (ho_18 (ho_17 k_16 skv_21) emptyset) ) 2.19/2.39 ( (ho_7 k_15 (ho_12 k_11 skv_21)), emptyset ) 2.19/2.39 ( (ho_7 k_15 (ho_12 k_11 skv_21)), skv_19 ) 2.19/2.39 ( (ho_7 k_15 (ho_12 k_11 skv_21)), skv_21 ) 2.19/2.39 ( (ho_7 k_15 (ho_12 k_11 skv_21)), (ho_18 (ho_17 k_16 skv_21) emptyset) ) 2.19/2.39 ) 2.19/2.39 (instantiation (forall ((BOUND_VARIABLE_829 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_745 $$unsorted)) (= (ho_5 (ho_7 k_15 BOUND_VARIABLE_829) BOUND_VARIABLE_745) (ho_5 BOUND_VARIABLE_829 BOUND_VARIABLE_745)) ) 2.19/2.39 ( skv_20, emptyset ) 2.19/2.39 ( skv_20, skv_19 ) 2.19/2.39 ( skv_20, skv_21 ) 2.19/2.39 ( skv_20, (ho_18 (ho_17 k_16 skv_26) emptyset) ) 2.19/2.39 ( skv_20, skv_47 ) 2.19/2.39 ( skv_20, skv_50 ) 2.19/2.39 ( skv_20, skv_52 ) 2.19/2.39 ( skv_20, skv_55 ) 2.19/2.39 ( skv_20, skv_58 ) 2.19/2.39 ( skv_20, skv_71 ) 2.19/2.39 ( skv_20, skv_75 ) 2.19/2.39 ( (ho_7 k_13 skv_20), skv_19 ) 2.19/2.39 ( (ho_12 k_11 skv_21), emptyset ) 2.19/2.39 ( (ho_12 k_11 skv_21), skv_19 ) 2.19/2.39 ( (ho_12 k_11 skv_21), skv_21 ) 2.19/2.39 ( (ho_12 k_11 skv_21), (ho_18 (ho_17 k_16 skv_21) emptyset) ) 2.19/2.39 ( (ho_12 k_11 skv_21), (ho_18 (ho_17 k_16 skv_19) emptyset) ) 2.19/2.39 ( (ho_7 k_6 (ho_12 k_11 skv_21)), emptyset ) 2.19/2.39 ( (ho_7 k_6 (ho_12 k_11 skv_21)), skv_19 ) 2.19/2.39 ( (ho_7 k_6 (ho_12 k_11 skv_21)), skv_21 ) 2.19/2.39 ( (ho_7 k_6 (ho_12 k_11 skv_21)), (ho_18 (ho_17 k_16 skv_21) emptyset) ) 2.19/2.39 ( (ho_7 k_15 (ho_12 k_11 skv_21)), emptyset ) 2.19/2.39 ( (ho_7 k_15 (ho_12 k_11 skv_21)), skv_19 ) 2.19/2.39 ( (ho_7 k_15 (ho_12 k_11 skv_21)), skv_21 ) 2.19/2.39 ( (ho_7 k_15 (ho_12 k_11 skv_21)), (ho_18 (ho_17 k_16 skv_21) emptyset) ) 2.19/2.39 ) 2.19/2.39 (instantiation (forall ((BOUND_VARIABLE_840 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_738 $$unsorted)) (= (ho_5 (ho_7 k_6 BOUND_VARIABLE_840) BOUND_VARIABLE_738) (ho_5 BOUND_VARIABLE_840 BOUND_VARIABLE_738)) ) 2.19/2.39 ( skv_20, emptyset ) 2.19/2.39 ( skv_20, skv_19 ) 2.19/2.39 ( skv_20, skv_21 ) 2.19/2.39 ( skv_20, (ho_18 (ho_17 k_16 skv_26) emptyset) ) 2.19/2.39 ( skv_20, skv_37 ) 2.19/2.39 ( skv_20, skv_42 ) 2.19/2.39 ( skv_20, skv_45 ) 2.19/2.39 ( skv_20, skv_52 ) 2.19/2.39 ( skv_20, skv_55 ) 2.19/2.39 ( skv_20, skv_58 ) 2.19/2.39 ( skv_20, skv_71 ) 2.19/2.39 ( skv_20, skv_75 ) 2.19/2.39 ( (ho_7 k_13 skv_20), skv_19 ) 2.19/2.39 ( (ho_12 k_11 skv_21), emptyset ) 2.19/2.39 ( (ho_12 k_11 skv_21), skv_19 ) 2.19/2.39 ( (ho_12 k_11 skv_21), skv_21 ) 2.19/2.39 ( (ho_12 k_11 skv_21), (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20)) ) 2.19/2.39 ( (ho_12 k_11 skv_21), (ho_18 (ho_17 k_16 skv_21) emptyset) ) 2.19/2.39 ( (ho_12 k_11 skv_21), (ho_18 (ho_17 k_16 skv_19) emptyset) ) 2.19/2.39 ( (ho_7 k_6 (ho_12 k_11 skv_21)), emptyset ) 2.19/2.39 ( (ho_7 k_6 (ho_12 k_11 skv_21)), skv_19 ) 2.19/2.39 ( (ho_7 k_6 (ho_12 k_11 skv_21)), skv_21 ) 2.19/2.39 ( (ho_7 k_6 (ho_12 k_11 skv_21)), (ho_18 (ho_17 k_16 skv_21) emptyset) ) 2.19/2.39 ( (ho_7 k_15 (ho_12 k_11 skv_21)), emptyset ) 2.19/2.39 ( (ho_7 k_15 (ho_12 k_11 skv_21)), skv_19 ) 2.19/2.39 ( (ho_7 k_15 (ho_12 k_11 skv_21)), skv_21 ) 2.19/2.39 ( (ho_7 k_15 (ho_12 k_11 skv_21)), (ho_18 (ho_17 k_16 skv_21) emptyset) ) 2.19/2.39 ) 2.19/2.39 (instantiation (forall ((A $$unsorted) (BOUND_VARIABLE_854 |u_(-> $$unsorted Bool)|) (Xx $$unsorted)) (let ((_let_0 (ho_12 k_11 Xx))) (or (not (ho_5 _let_0 (ho_10 (ho_9 k_8 A) (ho_7 k_15 BOUND_VARIABLE_854)))) (ho_5 _let_0 A))) ) 2.19/2.39 ( emptyset, skv_20, emptyset ) 2.19/2.39 ( emptyset, skv_20, skv_19 ) 2.19/2.39 ( emptyset, skv_20, skv_21 ) 2.19/2.39 ( emptyset, (ho_12 k_11 skv_21), emptyset ) 2.19/2.39 ( emptyset, (ho_12 k_11 skv_21), skv_19 ) 2.19/2.39 ( emptyset, (ho_7 k_6 (ho_12 k_11 skv_21)), emptyset ) 2.19/2.39 ( emptyset, (ho_7 k_6 (ho_12 k_11 skv_21)), skv_19 ) 2.19/2.39 ( emptyset, (ho_7 k_6 (ho_12 k_11 skv_21)), skv_21 ) 2.19/2.39 ( skv_19, skv_20, emptyset ) 2.19/2.39 ( skv_19, skv_20, skv_19 ) 2.19/2.39 ( skv_19, skv_20, skv_79 ) 2.19/2.39 ( skv_19, skv_20, skv_80 ) 2.19/2.39 ( skv_19, (ho_7 k_13 skv_20), skv_19 ) 2.19/2.39 ( skv_19, (ho_12 k_11 skv_21), emptyset ) 2.19/2.39 ( skv_19, (ho_12 k_11 skv_21), skv_19 ) 2.19/2.39 ( skv_19, (ho_7 k_6 (ho_12 k_11 skv_21)), emptyset ) 2.19/2.39 ( skv_19, (ho_7 k_6 (ho_12 k_11 skv_21)), skv_19 ) 2.19/2.39 ( skv_21, skv_20, skv_19 ) 2.19/2.39 ) 2.19/2.39 (instantiation (forall ((A $$unsorted) (BOUND_VARIABLE_863 |u_(-> $$unsorted Bool)|) (Xx $$unsorted)) (or (not (ho_5 (ho_12 k_11 Xx) (ho_10 (ho_9 k_8 A) (ho_7 k_14 BOUND_VARIABLE_863)))) (ho_5 BOUND_VARIABLE_863 Xx)) ) 2.19/2.39 ( emptyset, skv_20, emptyset ) 2.19/2.39 ( emptyset, skv_20, skv_19 ) 2.19/2.39 ( emptyset, (ho_12 k_11 skv_21), emptyset ) 2.19/2.39 ( emptyset, (ho_12 k_11 skv_21), skv_21 ) 2.19/2.39 ( emptyset, (ho_7 k_6 (ho_12 k_11 skv_21)), emptyset ) 2.19/2.39 ( emptyset, (ho_7 k_6 (ho_12 k_11 skv_21)), skv_21 ) 2.19/2.39 ( emptyset, (ho_7 k_15 (ho_12 k_11 skv_21)), emptyset ) 2.19/2.39 ( emptyset, (ho_7 k_15 (ho_12 k_11 skv_21)), skv_21 ) 2.19/2.39 ( skv_19, skv_20, emptyset ) 2.19/2.39 ( skv_19, skv_20, skv_19 ) 2.19/2.39 ( skv_19, skv_20, skv_79 ) 2.19/2.39 ( skv_19, skv_20, skv_80 ) 2.19/2.39 ( skv_19, (ho_7 k_13 skv_20), skv_19 ) 2.19/2.39 ( skv_19, (ho_12 k_11 skv_21), emptyset ) 2.19/2.39 ( skv_19, (ho_7 k_6 (ho_12 k_11 skv_21)), emptyset ) 2.19/2.39 ( skv_19, (ho_7 k_6 (ho_12 k_11 skv_21)), skv_21 ) 2.19/2.39 ( skv_19, (ho_7 k_15 (ho_12 k_11 skv_21)), emptyset ) 2.19/2.39 ( skv_21, skv_20, skv_19 ) 2.19/2.39 ) 2.19/2.39 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_12 k_11 Xx))) (or (not (ho_5 _let_0 A)) (ho_5 _let_0 B))) )) (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_12 k_11 Xx))) (or (not (ho_5 _let_0 B)) (ho_5 _let_0 A))) )) (= A B)) ) 2.19/2.39 ( emptyset, skv_19 ) 2.19/2.39 ( emptyset, skv_21 ) 2.19/2.39 ( emptyset, (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20)) ) 2.19/2.39 ( emptyset, (ho_18 (ho_17 k_16 skv_21) emptyset) ) 2.19/2.39 ( skv_19, emptyset ) 2.19/2.39 ( skv_19, skv_21 ) 2.19/2.39 ( skv_19, (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20)) ) 2.19/2.39 ( skv_19, (ho_18 (ho_17 k_16 skv_21) emptyset) ) 2.19/2.39 ( skv_21, emptyset ) 2.19/2.39 ( skv_21, skv_19 ) 2.19/2.39 ( skv_21, (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20)) ) 2.19/2.39 ( skv_21, (ho_18 (ho_17 k_16 skv_21) emptyset) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_21) emptyset), emptyset ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_21) emptyset), skv_19 ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_21) emptyset), skv_21 ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_21) emptyset), (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20)) ) 2.19/2.39 ) 2.19/2.39 (instantiation (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not (ho_5 (ho_12 k_11 Xx) (ho_18 (ho_17 k_16 Xy) emptyset))) (= Xx Xy)) ) 2.19/2.39 ( emptyset, skv_19 ) 2.19/2.39 ( emptyset, skv_21 ) 2.19/2.39 ( emptyset, (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20)) ) 2.19/2.39 ( emptyset, (ho_18 (ho_17 k_16 skv_21) emptyset) ) 2.19/2.39 ( skv_19, emptyset ) 2.19/2.39 ( skv_19, skv_21 ) 2.19/2.39 ( skv_19, (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20)) ) 2.19/2.39 ( skv_19, (ho_18 (ho_17 k_16 skv_21) emptyset) ) 2.19/2.39 ( skv_21, emptyset ) 2.19/2.39 ( skv_21, skv_19 ) 2.19/2.39 ( skv_21, (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20)) ) 2.19/2.39 ( skv_21, (ho_18 (ho_17 k_16 skv_21) emptyset) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20)), emptyset ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_21) emptyset), emptyset ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_21) emptyset), skv_19 ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_21) emptyset), (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20)) ) 2.19/2.39 ( skv_58, skv_21 ) 2.19/2.39 ( skv_61, skv_21 ) 2.19/2.39 ( skv_65, skv_21 ) 2.19/2.39 ( skv_79, skv_21 ) 2.19/2.39 ) 2.19/2.39 (instantiation (forall ((Xy $$unsorted)) (ho_5 (ho_12 k_11 Xy) (ho_18 (ho_17 k_16 Xy) emptyset)) ) 2.19/2.39 ( emptyset ) 2.19/2.39 ( skv_19 ) 2.19/2.39 ( skv_21 ) 2.19/2.39 ( (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20)) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_21) emptyset) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 skv_19) (ho_7 k_6 skv_20)) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 skv_19) (ho_7 k_15 skv_20)) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 skv_19) (ho_7 k_14 skv_20)) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_19) emptyset) ) 2.19/2.39 ( skv_22 ) 2.19/2.39 ( skv_23 ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_23) emptyset) ) 2.19/2.39 ( skv_26 ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_26) emptyset) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_22) emptyset) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 skv_21) (ho_7 k_15 skv_20)) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 (ho_18 (ho_17 k_16 skv_21) emptyset)) emptyset) ) 2.19/2.39 ( skv_28 ) 2.19/2.39 ( skv_30 ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_30) emptyset) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_28) emptyset) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 emptyset) (ho_7 k_6 skv_20)) ) 2.19/2.39 ( skv_35 ) 2.19/2.39 ( skv_37 ) 2.19/2.39 ( skv_40 ) 2.19/2.39 ( skv_45 ) 2.19/2.39 ( skv_47 ) 2.19/2.39 ( skv_49 ) 2.19/2.39 ( skv_52 ) 2.19/2.39 ( skv_53 ) 2.19/2.39 ( skv_55 ) 2.19/2.39 ( skv_58 ) 2.19/2.39 ( skv_68 ) 2.19/2.39 ( skv_71 ) 2.19/2.39 ( skv_75 ) 2.19/2.39 ( skv_79 ) 2.19/2.39 ( skv_80 ) 2.19/2.39 ) 2.19/2.39 (instantiation (forall ((x |u_(-> _u_(-> $$unsorted Bool)_ $$unsorted Bool)|) (y |u_(-> _u_(-> $$unsorted Bool)_ $$unsorted Bool)|)) (or (not (forall ((z |u_(-> $$unsorted Bool)|)) (= (ho_7 x z) (ho_7 y z)) )) (= x y)) ) 2.19/2.39 ( k_6, k_13 ) 2.19/2.39 ( k_6, k_14 ) 2.19/2.39 ( k_6, k_15 ) 2.19/2.39 ( k_13, k_6 ) 2.19/2.39 ( k_13, k_14 ) 2.19/2.39 ( k_13, k_15 ) 2.19/2.39 ( k_14, k_6 ) 2.19/2.39 ( k_14, k_13 ) 2.19/2.39 ( k_14, k_15 ) 2.19/2.39 ( k_15, k_6 ) 2.19/2.39 ( k_15, k_13 ) 2.19/2.39 ( k_15, k_14 ) 2.19/2.39 ) 2.19/2.39 (instantiation (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_5 x z) (ho_5 y z)) )) (= x y)) ) 2.19/2.39 ( skv_20, (ho_7 k_13 skv_20) ) 2.19/2.39 ( skv_20, (ho_12 k_11 skv_21) ) 2.19/2.39 ( skv_20, (ho_7 k_6 skv_20) ) 2.19/2.39 ( skv_20, (ho_7 k_15 skv_20) ) 2.19/2.39 ( skv_20, (ho_7 k_14 skv_20) ) 2.19/2.39 ( skv_20, (ho_12 k_11 skv_19) ) 2.19/2.39 ( skv_20, (ho_12 k_11 skv_23) ) 2.19/2.39 ( (ho_12 k_11 skv_21), skv_20 ) 2.19/2.39 ( (ho_12 k_11 skv_21), (ho_7 k_13 skv_20) ) 2.19/2.39 ( (ho_12 k_11 skv_21), (ho_7 k_6 skv_20) ) 2.19/2.39 ( (ho_12 k_11 skv_21), (ho_7 k_15 skv_20) ) 2.19/2.39 ( (ho_12 k_11 skv_21), (ho_7 k_14 skv_20) ) 2.19/2.39 ( (ho_12 k_11 skv_21), (ho_12 k_11 skv_19) ) 2.19/2.39 ( (ho_12 k_11 skv_21), (ho_12 k_11 skv_23) ) 2.19/2.39 ( (ho_12 k_11 skv_19), skv_20 ) 2.19/2.39 ( (ho_12 k_11 skv_19), (ho_12 k_11 skv_21) ) 2.19/2.39 ) 2.19/2.39 (instantiation (forall ((x |u_(-> $$unsorted $$unsorted)|) (y |u_(-> $$unsorted $$unsorted)|)) (or (not (forall ((z $$unsorted)) (= (ho_18 x z) (ho_18 y z)) )) (= x y)) ) 2.19/2.39 ( (ho_17 k_16 skv_21), (ho_17 k_16 skv_19) ) 2.19/2.39 ( (ho_17 k_16 skv_21), (ho_17 k_16 skv_23) ) 2.19/2.39 ( (ho_17 k_16 skv_21), (ho_17 k_16 (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20))) ) 2.19/2.39 ( (ho_17 k_16 skv_21), (ho_17 k_16 skv_26) ) 2.19/2.39 ( (ho_17 k_16 skv_21), (ho_17 k_16 skv_22) ) 2.19/2.39 ( (ho_17 k_16 skv_19), (ho_17 k_16 skv_21) ) 2.19/2.39 ( (ho_17 k_16 skv_19), (ho_17 k_16 skv_23) ) 2.19/2.39 ( (ho_17 k_16 skv_19), (ho_17 k_16 (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20))) ) 2.19/2.39 ( (ho_17 k_16 skv_19), (ho_17 k_16 skv_26) ) 2.19/2.39 ( (ho_17 k_16 skv_19), (ho_17 k_16 skv_22) ) 2.19/2.39 ( (ho_17 k_16 skv_23), (ho_17 k_16 skv_21) ) 2.19/2.39 ( (ho_17 k_16 skv_23), (ho_17 k_16 skv_19) ) 2.19/2.39 ( (ho_17 k_16 skv_23), (ho_17 k_16 (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20))) ) 2.19/2.39 ( (ho_17 k_16 skv_23), (ho_17 k_16 skv_26) ) 2.19/2.39 ( (ho_17 k_16 skv_23), (ho_17 k_16 skv_22) ) 2.19/2.39 ( (ho_17 k_16 (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20))), (ho_17 k_16 skv_21) ) 2.19/2.39 ( (ho_17 k_16 (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20))), (ho_17 k_16 skv_19) ) 2.19/2.39 ( (ho_17 k_16 (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20))), (ho_17 k_16 skv_23) ) 2.19/2.39 ( (ho_17 k_16 (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20))), (ho_17 k_16 skv_26) ) 2.19/2.39 ( (ho_17 k_16 (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20))), (ho_17 k_16 skv_22) ) 2.19/2.39 ( (ho_17 k_16 skv_26), (ho_17 k_16 skv_21) ) 2.19/2.39 ( (ho_17 k_16 skv_26), (ho_17 k_16 skv_19) ) 2.19/2.39 ( (ho_17 k_16 skv_26), (ho_17 k_16 skv_23) ) 2.19/2.39 ( (ho_17 k_16 skv_26), (ho_17 k_16 (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20))) ) 2.19/2.39 ( (ho_17 k_16 skv_26), (ho_17 k_16 skv_22) ) 2.19/2.39 ) 2.19/2.39 (instantiation (forall ((x |u_(-> _u_(-> $$unsorted Bool)_ $$unsorted)|) (y |u_(-> _u_(-> $$unsorted Bool)_ $$unsorted)|)) (or (not (forall ((z |u_(-> $$unsorted Bool)|)) (= (ho_10 x z) (ho_10 y z)) )) (= x y)) ) 2.19/2.39 ( (ho_9 k_8 skv_19), (ho_9 k_8 skv_21) ) 2.19/2.39 ( (ho_9 k_8 skv_19), (ho_9 k_8 emptyset) ) 2.19/2.39 ( (ho_9 k_8 skv_19), (ho_9 k_8 (ho_18 (ho_17 k_16 skv_21) emptyset)) ) 2.19/2.39 ( (ho_9 k_8 skv_19), (ho_9 k_8 (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20))) ) 2.19/2.39 ( (ho_9 k_8 skv_21), (ho_9 k_8 skv_19) ) 2.19/2.39 ( (ho_9 k_8 skv_21), (ho_9 k_8 emptyset) ) 2.19/2.39 ( (ho_9 k_8 skv_21), (ho_9 k_8 (ho_18 (ho_17 k_16 skv_21) emptyset)) ) 2.19/2.39 ( (ho_9 k_8 skv_21), (ho_9 k_8 (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20))) ) 2.19/2.39 ( (ho_9 k_8 emptyset), (ho_9 k_8 skv_19) ) 2.19/2.39 ( (ho_9 k_8 emptyset), (ho_9 k_8 skv_21) ) 2.19/2.39 ( (ho_9 k_8 emptyset), (ho_9 k_8 (ho_18 (ho_17 k_16 skv_21) emptyset)) ) 2.19/2.39 ( (ho_9 k_8 (ho_18 (ho_17 k_16 skv_21) emptyset)), (ho_9 k_8 skv_19) ) 2.19/2.39 ( (ho_9 k_8 (ho_18 (ho_17 k_16 skv_21) emptyset)), (ho_9 k_8 skv_21) ) 2.19/2.39 ( (ho_9 k_8 (ho_18 (ho_17 k_16 skv_21) emptyset)), (ho_9 k_8 emptyset) ) 2.19/2.39 ) 2.19/2.39 (instantiation (forall ((Xx $$unsorted) (BOUND_VARIABLE_602 $$unsorted)) (or (not (ho_5 (ho_12 k_11 Xx) skv_19)) (not (ho_5 skv_20 Xx)) (not (ho_5 (ho_12 k_11 BOUND_VARIABLE_602) skv_19)) (not (ho_5 skv_20 BOUND_VARIABLE_602)) (= Xx BOUND_VARIABLE_602)) ) 2.19/2.39 ( emptyset, skv_21 ) 2.19/2.39 ( skv_19, skv_21 ) 2.19/2.39 ( skv_21, (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20)) ) 2.19/2.39 ( skv_21, (ho_18 (ho_17 k_16 skv_21) emptyset) ) 2.19/2.39 ( skv_21, (ho_10 (ho_9 k_8 skv_19) (ho_7 k_6 skv_20)) ) 2.19/2.39 ( skv_21, (ho_10 (ho_9 k_8 skv_19) (ho_7 k_15 skv_20)) ) 2.19/2.39 ( skv_21, (ho_10 (ho_9 k_8 skv_19) (ho_7 k_14 skv_20)) ) 2.19/2.39 ( skv_21, (ho_18 (ho_17 k_16 skv_19) emptyset) ) 2.19/2.39 ( skv_21, skv_22 ) 2.19/2.39 ( skv_21, skv_23 ) 2.19/2.39 ( skv_21, (ho_18 (ho_17 k_16 skv_23) emptyset) ) 2.19/2.39 ( skv_21, (ho_18 (ho_17 k_16 skv_26) emptyset) ) 2.19/2.39 ( skv_21, (ho_18 (ho_17 k_16 skv_22) emptyset) ) 2.19/2.39 ( skv_21, (ho_10 (ho_9 k_8 skv_21) (ho_7 k_15 skv_20)) ) 2.19/2.39 ( skv_21, (ho_18 (ho_17 k_16 (ho_18 (ho_17 k_16 skv_21) emptyset)) emptyset) ) 2.19/2.39 ( skv_21, skv_28 ) 2.19/2.39 ( skv_21, (ho_18 (ho_17 k_16 skv_30) emptyset) ) 2.19/2.39 ( skv_21, (ho_18 (ho_17 k_16 skv_28) emptyset) ) 2.19/2.39 ( skv_21, (ho_10 (ho_9 k_8 emptyset) (ho_7 k_6 skv_20)) ) 2.19/2.39 ( skv_21, skv_35 ) 2.19/2.39 ( skv_21, skv_45 ) 2.19/2.39 ( skv_21, skv_49 ) 2.19/2.39 ( skv_21, skv_52 ) 2.19/2.39 ( skv_21, skv_55 ) 2.19/2.39 ( skv_21, skv_58 ) 2.19/2.39 ( skv_21, skv_68 ) 2.19/2.39 ( skv_21, skv_71 ) 2.19/2.39 ( skv_21, skv_75 ) 2.19/2.39 ( skv_21, skv_80 ) 2.19/2.39 ( skv_22, skv_21 ) 2.19/2.39 ( skv_23, skv_21 ) 2.19/2.39 ( skv_28, skv_21 ) 2.19/2.39 ( skv_30, skv_21 ) 2.19/2.39 ( skv_35, skv_21 ) 2.19/2.39 ( skv_37, skv_21 ) 2.19/2.39 ( skv_47, skv_21 ) 2.19/2.39 ( skv_52, skv_21 ) 2.19/2.39 ( skv_53, skv_21 ) 2.19/2.39 ( skv_68, skv_21 ) 2.19/2.39 ( skv_75, skv_21 ) 2.19/2.39 ( skv_79, skv_21 ) 2.19/2.39 ( skv_80, skv_21 ) 2.19/2.39 ) 2.19/2.39 (instantiation (forall ((BOUND_VARIABLE_652 $$unsorted)) (let ((_let_0 (ho_9 k_8 skv_19))) (let ((_let_1 (ho_7 k_13 skv_20))) (let ((_let_2 (ho_10 _let_0 _let_1))) (or (not (ho_5 (ho_12 k_11 BOUND_VARIABLE_652) _let_2)) (not (= (ho_18 (ho_17 k_16 BOUND_VARIABLE_652) emptyset) _let_2)))))) ) 2.19/2.39 ( emptyset ) 2.19/2.39 ( skv_19 ) 2.19/2.39 ( skv_21 ) 2.19/2.39 ( (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20)) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_21) emptyset) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 skv_19) (ho_7 k_6 skv_20)) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 skv_19) (ho_7 k_15 skv_20)) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 skv_19) (ho_7 k_14 skv_20)) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_19) emptyset) ) 2.19/2.39 ( skv_22 ) 2.19/2.39 ( skv_23 ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_23) emptyset) ) 2.19/2.39 ( skv_26 ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_26) emptyset) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_22) emptyset) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 skv_21) (ho_7 k_15 skv_20)) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 (ho_18 (ho_17 k_16 skv_21) emptyset)) emptyset) ) 2.19/2.39 ( skv_28 ) 2.19/2.39 ( skv_30 ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_30) emptyset) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_28) emptyset) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 emptyset) (ho_7 k_6 skv_20)) ) 2.19/2.39 ( skv_35 ) 2.19/2.39 ( skv_37 ) 2.19/2.39 ( skv_40 ) 2.19/2.39 ( skv_45 ) 2.19/2.39 ( skv_47 ) 2.19/2.39 ( skv_49 ) 2.19/2.39 ( skv_52 ) 2.19/2.39 ( skv_53 ) 2.19/2.39 ( skv_55 ) 2.19/2.39 ( skv_58 ) 2.19/2.39 ( skv_79 ) 2.19/2.39 ( skv_80 ) 2.19/2.39 ) 2.19/2.39 (instantiation (forall ((z $$unsorted)) (= (ho_5 skv_20 z) (ho_5 (ho_7 k_13 skv_20) z)) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20)) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_21) emptyset) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 skv_19) (ho_7 k_6 skv_20)) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 skv_19) (ho_7 k_15 skv_20)) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 skv_19) (ho_7 k_14 skv_20)) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_19) emptyset) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_23) emptyset) ) 2.19/2.39 ( skv_26 ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_26) emptyset) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_22) emptyset) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 skv_21) (ho_7 k_15 skv_20)) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 (ho_18 (ho_17 k_16 skv_21) emptyset)) emptyset) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_30) emptyset) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_28) emptyset) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 emptyset) (ho_7 k_6 skv_20)) ) 2.19/2.39 ( skv_35 ) 2.19/2.39 ( skv_45 ) 2.19/2.39 ( skv_52 ) 2.19/2.39 ( skv_55 ) 2.19/2.39 ( skv_58 ) 2.19/2.39 ( skv_71 ) 2.19/2.39 ( skv_75 ) 2.19/2.39 ) 2.19/2.39 (instantiation (forall ((z $$unsorted)) (= (ho_5 skv_20 z) (ho_5 (ho_7 k_6 skv_20) z)) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 skv_19) (ho_7 k_14 skv_20)) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_19) emptyset) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_23) emptyset) ) 2.19/2.39 ( skv_26 ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_26) emptyset) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_22) emptyset) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 skv_21) (ho_7 k_15 skv_20)) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 (ho_18 (ho_17 k_16 skv_21) emptyset)) emptyset) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_30) emptyset) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_28) emptyset) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 emptyset) (ho_7 k_6 skv_20)) ) 2.19/2.39 ( skv_45 ) 2.19/2.39 ( skv_52 ) 2.19/2.39 ( skv_55 ) 2.19/2.39 ( skv_58 ) 2.19/2.39 ( skv_71 ) 2.19/2.39 ( skv_75 ) 2.19/2.39 ) 2.19/2.39 (instantiation (forall ((Xx $$unsorted)) (let ((_let_0 (ho_12 k_11 Xx))) (or (not (ho_5 _let_0 (ho_18 (ho_17 k_16 skv_21) emptyset))) (ho_5 _let_0 skv_19))) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20)) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_21) emptyset) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_19) emptyset) ) 2.19/2.39 ( skv_22 ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_23) emptyset) ) 2.19/2.39 ( skv_26 ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_26) emptyset) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_22) emptyset) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 skv_21) (ho_7 k_15 skv_20)) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 (ho_18 (ho_17 k_16 skv_21) emptyset)) emptyset) ) 2.19/2.39 ( skv_28 ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_30) emptyset) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_28) emptyset) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 emptyset) (ho_7 k_6 skv_20)) ) 2.19/2.39 ( skv_35 ) 2.19/2.39 ( skv_37 ) 2.19/2.39 ( skv_40 ) 2.19/2.39 ( skv_45 ) 2.19/2.39 ( skv_47 ) 2.19/2.39 ( skv_53 ) 2.19/2.39 ( skv_71 ) 2.19/2.39 ( skv_75 ) 2.19/2.39 ) 2.19/2.39 (instantiation (forall ((z $$unsorted)) (= (ho_5 skv_20 z) (ho_5 (ho_7 k_15 skv_20) z)) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_23) emptyset) ) 2.19/2.39 ( skv_26 ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_26) emptyset) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_22) emptyset) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 skv_21) (ho_7 k_15 skv_20)) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 (ho_18 (ho_17 k_16 skv_21) emptyset)) emptyset) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_30) emptyset) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_28) emptyset) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 emptyset) (ho_7 k_6 skv_20)) ) 2.19/2.39 ( skv_52 ) 2.19/2.39 ( skv_55 ) 2.19/2.39 ( skv_58 ) 2.19/2.39 ( skv_71 ) 2.19/2.39 ( skv_75 ) 2.19/2.39 ) 2.19/2.39 (instantiation (forall ((z $$unsorted)) (= (ho_5 skv_20 z) (ho_5 (ho_7 k_14 skv_20) z)) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_26) emptyset) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_22) emptyset) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 skv_21) (ho_7 k_15 skv_20)) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 (ho_18 (ho_17 k_16 skv_21) emptyset)) emptyset) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_30) emptyset) ) 2.19/2.39 ( (ho_18 (ho_17 k_16 skv_28) emptyset) ) 2.19/2.39 ( (ho_10 (ho_9 k_8 emptyset) (ho_7 k_6 skv_20)) ) 2.19/2.39 ( skv_58 ) 2.19/2.39 ( skv_71 ) 2.19/2.39 ( skv_75 ) 2.19/2.39 ) 2.19/2.39 (instantiation (forall ((Xx $$unsorted)) (let ((_let_0 (ho_12 k_11 Xx))) (or (not (ho_5 _let_0 (ho_18 (ho_17 k_16 skv_21) emptyset))) (ho_5 _let_0 (ho_10 (ho_9 k_8 skv_19) (ho_7 k_13 skv_20))))) ) 2.19/2.39 ( skv_23 ) 2.19/2.39 ( skv_30 ) 2.19/2.39 ( skv_68 ) 2.19/2.39 ) 2.19/2.39 % SZS output end Proof for theBenchmark 2.19/2.39 EOF