0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : do_CVC4 %s 0.12/0.33 % Computer : n015.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 180 0.12/0.33 % DateTime : Thu Aug 29 12:54:52 EDT 2019 0.12/0.33 % CPUTime : 0.18/0.46 %----Proving TH0_NAR 0.18/0.46 ------- cvc4-thf casc 27 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 180... 0.18/0.46 --- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20... 20.30/20.49 --- Run --uf-ho --ho-elim --full-saturate-quant at 20... 40.35/40.52 --- Run --uf-ho --ho-elim --finite-model-find --uf-ss=no-minimal at 5... 40.35/40.65 % SZS status Theorem for theBenchmark 40.35/40.65 % SZS output start Proof for theBenchmark 40.35/40.65 (skolem (forall ((A $$unsorted)) (or (not (forall ((Xx $$unsorted)) (not (ho_7 (ho_14 k_13 Xx) A)) )) (= emptyset A)) ) 40.35/40.65 ( skv_24 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> $$unsorted |u_(-> $$unsorted Bool)| $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_23 v ii) (ite (= emptyset ii) |e_|u_(-> |u_(-> $$unsorted Bool)| $$unsorted)|_27| (ho_23 |e_|u_(-> $$unsorted |u_(-> $$unsorted Bool)| $$unsorted)|_26| ii))) )) ) 40.35/40.65 ( skv_31 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> $$unsorted |u_(-> $$unsorted Bool)| $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_23 v ii) (ite (= omega ii) |e_|u_(-> |u_(-> $$unsorted Bool)| $$unsorted)|_27| (ho_23 |e_|u_(-> $$unsorted |u_(-> $$unsorted Bool)| $$unsorted)|_26| ii))) )) ) 40.35/40.65 ( skv_32 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> $$unsorted |u_(-> $$unsorted Bool)| $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_23 v ii) (ite (= ii skv_24) |e_|u_(-> |u_(-> $$unsorted Bool)| $$unsorted)|_27| (ho_23 |e_|u_(-> $$unsorted |u_(-> $$unsorted Bool)| $$unsorted)|_26| ii))) )) ) 40.35/40.65 ( skv_33 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> |u_(-> $$unsorted Bool)| $$unsorted)|)) (not (forall ((ii |u_(-> $$unsorted Bool)|)) (= (ho_21 v ii) (ite (= (ho_14 k_13 emptyset) ii) emptyset (ho_21 |e_|u_(-> |u_(-> $$unsorted Bool)| $$unsorted)|_27| ii))) )) ) 40.35/40.65 ( skv_34 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> |u_(-> $$unsorted Bool)| $$unsorted)|)) (not (forall ((ii |u_(-> $$unsorted Bool)|)) (= (ho_21 v ii) (ite (= (ho_14 k_13 emptyset) ii) omega (ho_21 |e_|u_(-> |u_(-> $$unsorted Bool)| $$unsorted)|_27| ii))) )) ) 40.35/40.65 ( skv_35 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> |u_(-> $$unsorted Bool)| $$unsorted)|)) (not (forall ((ii |u_(-> $$unsorted Bool)|)) (= (ho_21 v ii) (ite (= (ho_14 k_13 emptyset) ii) skv_24 (ho_21 |e_|u_(-> |u_(-> $$unsorted Bool)| $$unsorted)|_27| ii))) )) ) 40.35/40.65 ( skv_36 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> |u_(-> $$unsorted Bool)| $$unsorted Bool)|)) (not (forall ((ii |u_(-> $$unsorted Bool)|)) (let ((_let_0 (ho_14 k_13 emptyset))) (= (ho_9 v ii) (ite (= _let_0 ii) _let_0 (ho_9 |e_|u_(-> |u_(-> $$unsorted Bool)| $$unsorted Bool)|_28| ii)))) )) ) 40.35/40.65 ( skv_37 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= emptyset ii) false (ho_7 (ho_14 k_13 emptyset) ii))) )) ) 40.35/40.65 ( skv_38 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= omega ii) false (ho_7 (ho_14 k_13 emptyset) ii))) )) ) 40.35/40.65 ( skv_39 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= ii skv_24) false (ho_7 (ho_14 k_13 emptyset) ii))) )) ) 40.35/40.65 ( skv_40 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= emptyset ii) true (ho_7 (ho_14 k_13 emptyset) ii))) )) ) 40.35/40.65 ( skv_41 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= omega ii) true (ho_7 (ho_14 k_13 emptyset) ii))) )) ) 40.35/40.65 ( skv_42 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= ii skv_24) true (ho_7 (ho_14 k_13 emptyset) ii))) )) ) 40.35/40.65 ( skv_43 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_14 v ii) (ite (= emptyset ii) (ho_14 k_13 emptyset) (ho_14 k_13 ii))) )) ) 40.35/40.65 ( skv_44 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_14 v ii) (ite (= omega ii) (ho_14 k_13 emptyset) (ho_14 k_13 ii))) )) ) 40.35/40.65 ( skv_45 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_14 v ii) (ite (= ii skv_24) (ho_14 k_13 emptyset) (ho_14 k_13 ii))) )) ) 40.35/40.65 ( skv_46 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_17 v ii) (ite (= emptyset ii) emptyset (ho_17 |e_|u_(-> $$unsorted $$unsorted)|_29| ii))) )) ) 40.35/40.65 ( skv_47 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_17 v ii) (ite (= omega ii) emptyset (ho_17 |e_|u_(-> $$unsorted $$unsorted)|_29| ii))) )) ) 40.35/40.65 ( skv_48 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_17 v ii) (ite (= ii skv_24) emptyset (ho_17 |e_|u_(-> $$unsorted $$unsorted)|_29| ii))) )) ) 40.35/40.65 ( skv_49 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_17 v ii) (ite (= emptyset ii) omega (ho_17 |e_|u_(-> $$unsorted $$unsorted)|_29| ii))) )) ) 40.35/40.65 ( skv_50 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_17 v ii) (ite (= omega ii) omega (ho_17 |e_|u_(-> $$unsorted $$unsorted)|_29| ii))) )) ) 40.35/40.65 ( skv_51 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_17 v ii) (ite (= ii skv_24) omega (ho_17 |e_|u_(-> $$unsorted $$unsorted)|_29| ii))) )) ) 40.35/40.65 ( skv_52 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_17 v ii) (ite (= emptyset ii) skv_24 (ho_17 |e_|u_(-> $$unsorted $$unsorted)|_29| ii))) )) ) 40.35/40.65 ( skv_53 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_17 v ii) (ite (= omega ii) skv_24 (ho_17 |e_|u_(-> $$unsorted $$unsorted)|_29| ii))) )) ) 40.35/40.65 ( skv_54 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_17 v ii) (ite (= ii skv_24) skv_24 (ho_17 |e_|u_(-> $$unsorted $$unsorted)|_29| ii))) )) ) 40.35/40.65 ( skv_55 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_16 v ii) (ite (= emptyset ii) |e_|u_(-> $$unsorted $$unsorted)|_29| (ho_16 |e_|u_(-> $$unsorted $$unsorted $$unsorted)|_30| ii))) )) ) 40.35/40.65 ( skv_56 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_16 v ii) (ite (= omega ii) |e_|u_(-> $$unsorted $$unsorted)|_29| (ho_16 |e_|u_(-> $$unsorted $$unsorted $$unsorted)|_30| ii))) )) ) 40.35/40.65 ( skv_57 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_16 v ii) (ite (= ii skv_24) |e_|u_(-> $$unsorted $$unsorted)|_29| (ho_16 |e_|u_(-> $$unsorted $$unsorted $$unsorted)|_30| ii))) )) ) 40.35/40.65 ( skv_58 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_14 k_13 Xx))) (= (ho_7 _let_0 emptyset) (ho_7 _let_0 omega))) ) 40.35/40.65 ( skv_59 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_14 k_13 Xx))) (= (ho_7 _let_0 emptyset) (ho_7 _let_0 skv_24))) ) 40.35/40.65 ( skv_60 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_14 k_13 Xx))) (= (ho_7 _let_0 omega) (ho_7 _let_0 skv_24))) ) 40.35/40.65 ( skv_61 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((B $$unsorted)) (or (not (ho_7 (ho_14 k_13 B) omega)) (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_14 k_13 Xx))) (or (not (ho_7 _let_0 B)) (not (ho_7 _let_0 omega)))) ))) ) 40.35/40.65 ( skv_62 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((B $$unsorted)) (or (not (forall ((C $$unsorted) (BOUND_VARIABLE_1232 $$unsorted)) (let ((_let_0 (ho_14 k_13 BOUND_VARIABLE_1232))) (or (not (ho_7 (ho_14 k_13 C) B)) (not (ho_7 _let_0 C)) (ho_7 _let_0 emptyset))) )) (not (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not (ho_7 (ho_14 k_13 Xx) emptyset)) (not (ho_7 (ho_14 k_13 Xy) emptyset)) (not (forall ((C $$unsorted)) (or (not (ho_7 (ho_14 k_13 C) B)) (= (ho_7 (ho_14 k_13 Xx) C) (ho_7 (ho_14 k_13 Xy) C))) )) (= Xx Xy)) )) (not (forall ((C $$unsorted) (D $$unsorted) (BOUND_VARIABLE_1271 $$unsorted) (BOUND_VARIABLE_1276 $$unsorted)) (let ((_let_0 (ho_14 k_13 BOUND_VARIABLE_1276))) (let ((_let_1 (ho_14 k_13 BOUND_VARIABLE_1271))) (or (not (ho_7 (ho_14 k_13 C) B)) (not (ho_7 (ho_14 k_13 D) B)) (not (ho_7 _let_1 C)) (ho_7 _let_1 D) (not (ho_7 _let_0 D)) (ho_7 _let_0 C)))) )) (not (forall ((C $$unsorted) (BOUND_VARIABLE_1339 $$unsorted)) (or (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_14 k_13 Xx))) (or (not (ho_7 _let_0 C)) (ho_7 _let_0 emptyset))) )) (not (ho_7 (ho_14 k_13 BOUND_VARIABLE_1339) C)) (not (forall ((D $$unsorted) (Xx $$unsorted)) (or (not (ho_7 (ho_14 k_13 D) B)) (not (ho_7 (ho_14 k_13 Xx) C)) (not (forall ((Xy $$unsorted)) (let ((_let_0 (ho_14 k_13 Xy))) (or (not (ho_7 _let_0 D)) (not (ho_7 _let_0 C)))) )) (not (forall ((E $$unsorted) (BOUND_VARIABLE_1311 $$unsorted)) (let ((_let_0 (ho_14 k_13 BOUND_VARIABLE_1311))) (or (not (ho_7 (ho_14 k_13 E) B)) (ho_7 (ho_14 k_13 Xx) E) (not (ho_7 _let_0 E)) (ho_7 _let_0 D))) ))) ))) ))) ) 40.35/40.65 ( skv_63 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((B $$unsorted)) (or (not (forall ((C $$unsorted) (BOUND_VARIABLE_1232 $$unsorted)) (let ((_let_0 (ho_14 k_13 BOUND_VARIABLE_1232))) (or (not (ho_7 (ho_14 k_13 C) B)) (not (ho_7 _let_0 C)) (ho_7 _let_0 omega))) )) (not (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not (ho_7 (ho_14 k_13 Xx) omega)) (not (ho_7 (ho_14 k_13 Xy) omega)) (not (forall ((C $$unsorted)) (or (not (ho_7 (ho_14 k_13 C) B)) (= (ho_7 (ho_14 k_13 Xx) C) (ho_7 (ho_14 k_13 Xy) C))) )) (= Xx Xy)) )) (not (forall ((C $$unsorted) (D $$unsorted) (BOUND_VARIABLE_1271 $$unsorted) (BOUND_VARIABLE_1276 $$unsorted)) (let ((_let_0 (ho_14 k_13 BOUND_VARIABLE_1276))) (let ((_let_1 (ho_14 k_13 BOUND_VARIABLE_1271))) (or (not (ho_7 (ho_14 k_13 C) B)) (not (ho_7 (ho_14 k_13 D) B)) (not (ho_7 _let_1 C)) (ho_7 _let_1 D) (not (ho_7 _let_0 D)) (ho_7 _let_0 C)))) )) (not (forall ((C $$unsorted) (BOUND_VARIABLE_1339 $$unsorted)) (or (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_14 k_13 Xx))) (or (not (ho_7 _let_0 C)) (ho_7 _let_0 omega))) )) (not (ho_7 (ho_14 k_13 BOUND_VARIABLE_1339) C)) (not (forall ((D $$unsorted) (Xx $$unsorted)) (or (not (ho_7 (ho_14 k_13 D) B)) (not (ho_7 (ho_14 k_13 Xx) C)) (not (forall ((Xy $$unsorted)) (let ((_let_0 (ho_14 k_13 Xy))) (or (not (ho_7 _let_0 D)) (not (ho_7 _let_0 C)))) )) (not (forall ((E $$unsorted) (BOUND_VARIABLE_1311 $$unsorted)) (let ((_let_0 (ho_14 k_13 BOUND_VARIABLE_1311))) (or (not (ho_7 (ho_14 k_13 E) B)) (ho_7 (ho_14 k_13 Xx) E) (not (ho_7 _let_0 E)) (ho_7 _let_0 D))) ))) ))) ))) ) 40.35/40.65 ( skv_64 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((B $$unsorted)) (or (not (forall ((C $$unsorted) (BOUND_VARIABLE_1232 $$unsorted)) (let ((_let_0 (ho_14 k_13 BOUND_VARIABLE_1232))) (or (not (ho_7 (ho_14 k_13 C) B)) (not (ho_7 _let_0 C)) (ho_7 _let_0 skv_24))) )) (not (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not (ho_7 (ho_14 k_13 Xx) skv_24)) (not (ho_7 (ho_14 k_13 Xy) skv_24)) (not (forall ((C $$unsorted)) (or (not (ho_7 (ho_14 k_13 C) B)) (= (ho_7 (ho_14 k_13 Xx) C) (ho_7 (ho_14 k_13 Xy) C))) )) (= Xx Xy)) )) (not (forall ((C $$unsorted) (D $$unsorted) (BOUND_VARIABLE_1271 $$unsorted) (BOUND_VARIABLE_1276 $$unsorted)) (let ((_let_0 (ho_14 k_13 BOUND_VARIABLE_1276))) (let ((_let_1 (ho_14 k_13 BOUND_VARIABLE_1271))) (or (not (ho_7 (ho_14 k_13 C) B)) (not (ho_7 (ho_14 k_13 D) B)) (not (ho_7 _let_1 C)) (ho_7 _let_1 D) (not (ho_7 _let_0 D)) (ho_7 _let_0 C)))) )) (not (forall ((C $$unsorted) (BOUND_VARIABLE_1339 $$unsorted)) (or (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_14 k_13 Xx))) (or (not (ho_7 _let_0 C)) (ho_7 _let_0 skv_24))) )) (not (ho_7 (ho_14 k_13 BOUND_VARIABLE_1339) C)) (not (forall ((D $$unsorted) (Xx $$unsorted)) (or (not (ho_7 (ho_14 k_13 D) B)) (not (ho_7 (ho_14 k_13 Xx) C)) (not (forall ((Xy $$unsorted)) (let ((_let_0 (ho_14 k_13 Xy))) (or (not (ho_7 _let_0 D)) (not (ho_7 _let_0 C)))) )) (not (forall ((E $$unsorted) (BOUND_VARIABLE_1311 $$unsorted)) (let ((_let_0 (ho_14 k_13 BOUND_VARIABLE_1311))) (or (not (ho_7 (ho_14 k_13 E) B)) (ho_7 (ho_14 k_13 Xx) E) (not (ho_7 _let_0 E)) (ho_7 _let_0 D))) ))) ))) ))) ) 40.35/40.65 ( skv_65 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_14 k_13 Xx))) (or (not (ho_7 _let_0 omega)) (ho_7 _let_0 emptyset))) ) 40.35/40.65 ( skv_66 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_14 k_13 Xx))) (or (not (ho_7 _let_0 skv_24)) (ho_7 _let_0 emptyset))) ) 40.35/40.65 ( skv_67 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_14 k_13 Xx))) (or (not (ho_7 _let_0 emptyset)) (ho_7 _let_0 omega))) ) 40.35/40.65 ( skv_68 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_14 k_13 Xx))) (or (not (ho_7 _let_0 skv_24)) (ho_7 _let_0 omega))) ) 40.35/40.65 ( skv_69 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_14 k_13 Xx))) (or (not (ho_7 _let_0 emptyset)) (ho_7 _let_0 skv_24))) ) 40.35/40.65 ( skv_70 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_14 k_13 Xx))) (or (not (ho_7 _let_0 omega)) (ho_7 _let_0 skv_24))) ) 40.35/40.65 ( skv_71 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((Xx $$unsorted)) (or (not (ho_7 (ho_14 k_13 Xx) emptyset)) (not (forall ((BOUND_VARIABLE_1474 $$unsorted)) (or (not (ho_7 (ho_14 k_13 Xx) BOUND_VARIABLE_1474)) (not (forall ((BOUND_VARIABLE_1475 $$unsorted)) (or (not (ho_7 (ho_14 k_13 Xx) BOUND_VARIABLE_1475)) (= BOUND_VARIABLE_1474 BOUND_VARIABLE_1475)) ))) ))) ) 40.35/40.65 ( skv_72 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((Xx $$unsorted)) (or (not (ho_7 (ho_14 k_13 Xx) omega)) (not (forall ((BOUND_VARIABLE_1474 $$unsorted)) (or (not (ho_7 (ho_14 k_13 Xx) BOUND_VARIABLE_1474)) (not (forall ((BOUND_VARIABLE_1475 $$unsorted)) (or (not (ho_7 (ho_14 k_13 Xx) BOUND_VARIABLE_1475)) (= BOUND_VARIABLE_1474 BOUND_VARIABLE_1475)) ))) ))) ) 40.35/40.65 ( skv_73 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((Xx $$unsorted)) (or (not (ho_7 (ho_14 k_13 Xx) skv_24)) (not (forall ((BOUND_VARIABLE_1474 $$unsorted)) (or (not (ho_7 (ho_14 k_13 Xx) BOUND_VARIABLE_1474)) (not (forall ((BOUND_VARIABLE_1475 $$unsorted)) (or (not (ho_7 (ho_14 k_13 Xx) BOUND_VARIABLE_1475)) (= BOUND_VARIABLE_1474 BOUND_VARIABLE_1475)) ))) ))) ) 40.35/40.65 ( skv_74 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((Xx $$unsorted)) (or (not (ho_7 (ho_14 k_13 emptyset) Xx)) (not (forall ((Xy $$unsorted)) (or (not (ho_7 (ho_14 k_13 emptyset) Xy)) (= Xx Xy)) ))) ) 40.35/40.65 ( skv_75 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((Xx $$unsorted)) (not (ho_7 (ho_14 k_13 emptyset) Xx)) ) 40.35/40.65 ( skv_76 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((BOUND_VARIABLE_1509 $$unsorted)) (or (not (ho_7 (ho_14 k_13 emptyset) BOUND_VARIABLE_1509)) (= omega BOUND_VARIABLE_1509)) ) 40.35/40.65 ( skv_77 ) 40.35/40.65 ) 40.35/40.65 (skolem (forall ((B $$unsorted)) (not (forall ((Xx $$unsorted)) (= (ho_7 (ho_14 k_13 Xx) B) (not (forall ((Xy $$unsorted)) (let ((_let_0 (ho_14 k_13 Xy))) (or (not (ho_7 _let_0 skv_24)) (not (ho_7 _let_0 Xx)))) ))) )) ) 40.35/40.65 ( skv_78 ) 40.35/40.65 ) 40.35/40.65 (instantiation (forall ((BOUND_VARIABLE_1794 $$unsorted)) (not (ho_7 k_6 BOUND_VARIABLE_1794)) ) 40.35/40.65 ( emptyset ) 40.35/40.65 ( omega ) 40.35/40.65 ( skv_24 ) 40.35/40.65 ) 40.35/40.66 (instantiation (forall ((BOUND_VARIABLE_1814 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_1788 $$unsorted)) (= (ho_7 (ho_9 k_8 BOUND_VARIABLE_1814) BOUND_VARIABLE_1788) (ho_7 BOUND_VARIABLE_1814 BOUND_VARIABLE_1788)) ) 40.35/40.66 ( (ho_14 k_13 emptyset), emptyset ) 40.35/40.66 ( (ho_14 k_13 emptyset), omega ) 40.35/40.66 ( (ho_14 k_13 emptyset), skv_24 ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((BOUND_VARIABLE_1829 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_1781 $$unsorted)) (= (ho_7 (ho_9 k_10 BOUND_VARIABLE_1829) BOUND_VARIABLE_1781) (ho_7 BOUND_VARIABLE_1829 BOUND_VARIABLE_1781)) ) 40.35/40.66 ( (ho_14 k_13 emptyset), emptyset ) 40.35/40.66 ( (ho_14 k_13 emptyset), omega ) 40.35/40.66 ( (ho_14 k_13 emptyset), skv_24 ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((BOUND_VARIABLE_1840 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_1774 $$unsorted)) (= (ho_7 (ho_9 k_11 BOUND_VARIABLE_1840) BOUND_VARIABLE_1774) (ho_7 BOUND_VARIABLE_1840 BOUND_VARIABLE_1774)) ) 40.35/40.66 ( (ho_14 k_13 emptyset), emptyset ) 40.35/40.66 ( (ho_14 k_13 emptyset), omega ) 40.35/40.66 ( (ho_14 k_13 emptyset), skv_24 ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((BOUND_VARIABLE_1851 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_1767 $$unsorted)) (= (ho_7 (ho_9 k_12 BOUND_VARIABLE_1851) BOUND_VARIABLE_1767) (ho_7 BOUND_VARIABLE_1851 BOUND_VARIABLE_1767)) ) 40.35/40.66 ( (ho_14 k_13 emptyset), emptyset ) 40.35/40.66 ( (ho_14 k_13 emptyset), omega ) 40.35/40.66 ( (ho_14 k_13 emptyset), skv_24 ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_14 k_13 Xx))) (= (ho_7 _let_0 A) (ho_7 _let_0 B))) )) (= A B)) ) 40.35/40.66 ( emptyset, omega ) 40.35/40.66 ( emptyset, skv_24 ) 40.35/40.66 ( omega, emptyset ) 40.35/40.66 ( omega, skv_24 ) 40.35/40.66 ( skv_24, emptyset ) 40.35/40.66 ( skv_24, omega ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((Xx $$unsorted)) (not (ho_7 (ho_14 k_13 Xx) emptyset)) ) 40.35/40.66 ( emptyset ) 40.35/40.66 ( omega ) 40.35/40.66 ( skv_24 ) 40.35/40.66 ( skv_60 ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((Xx $$unsorted) (A $$unsorted) (Xy $$unsorted)) (let ((_let_0 (ho_14 k_13 Xy))) (= (ho_7 _let_0 (ho_17 (ho_16 k_15 Xx) A)) (or (= Xx Xy) (ho_7 _let_0 A)))) ) 40.35/40.66 ( emptyset, emptyset, emptyset ) 40.35/40.66 ( emptyset, emptyset, omega ) 40.35/40.66 ( emptyset, emptyset, skv_24 ) 40.35/40.66 ( emptyset, omega, emptyset ) 40.35/40.66 ( emptyset, omega, omega ) 40.35/40.66 ( emptyset, omega, skv_24 ) 40.35/40.66 ( emptyset, skv_24, emptyset ) 40.35/40.66 ( emptyset, skv_24, omega ) 40.35/40.66 ( emptyset, skv_24, skv_24 ) 40.35/40.66 ( omega, emptyset, emptyset ) 40.35/40.66 ( omega, emptyset, omega ) 40.35/40.66 ( omega, emptyset, skv_24 ) 40.35/40.66 ( omega, omega, emptyset ) 40.35/40.66 ( omega, omega, omega ) 40.35/40.66 ( omega, omega, skv_24 ) 40.35/40.66 ( omega, skv_24, emptyset ) 40.35/40.66 ( omega, skv_24, omega ) 40.35/40.66 ( omega, skv_24, skv_24 ) 40.35/40.66 ( skv_24, emptyset, emptyset ) 40.35/40.66 ( skv_24, emptyset, omega ) 40.35/40.66 ( skv_24, emptyset, skv_24 ) 40.35/40.66 ( skv_24, omega, emptyset ) 40.35/40.66 ( skv_24, omega, omega ) 40.35/40.66 ( skv_24, omega, skv_24 ) 40.35/40.66 ( skv_24, skv_24, emptyset ) 40.35/40.66 ( skv_24, skv_24, omega ) 40.35/40.66 ( skv_24, skv_24, skv_24 ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (= (ho_7 (ho_14 k_13 B) (ho_17 k_18 A)) (forall ((Xx $$unsorted)) (let ((_let_0 (ho_14 k_13 Xx))) (or (not (ho_7 _let_0 B)) (ho_7 _let_0 A))) )) ) 40.35/40.66 ( emptyset, emptyset ) 40.35/40.66 ( emptyset, omega ) 40.35/40.66 ( emptyset, skv_24 ) 40.35/40.66 ( omega, emptyset ) 40.35/40.66 ( omega, omega ) 40.35/40.66 ( omega, skv_24 ) 40.35/40.66 ( skv_24, emptyset ) 40.35/40.66 ( skv_24, omega ) 40.35/40.66 ( skv_24, skv_24 ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((A $$unsorted) (Xx $$unsorted)) (= (ho_7 (ho_14 k_13 Xx) (ho_17 k_19 A)) (not (forall ((B $$unsorted)) (or (not (ho_7 (ho_14 k_13 Xx) B)) (not (ho_7 (ho_14 k_13 B) A))) ))) ) 40.35/40.66 ( emptyset, emptyset ) 40.35/40.66 ( emptyset, omega ) 40.35/40.66 ( emptyset, skv_24 ) 40.35/40.66 ( omega, emptyset ) 40.35/40.66 ( omega, omega ) 40.35/40.66 ( omega, skv_24 ) 40.35/40.66 ( skv_24, emptyset ) 40.35/40.66 ( skv_24, omega ) 40.35/40.66 ( skv_24, skv_24 ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((Xx $$unsorted)) (or (not (ho_7 (ho_14 k_13 Xx) omega)) (ho_7 (ho_14 k_13 (ho_17 (ho_16 k_15 Xx) Xx)) omega)) ) 40.35/40.66 ( emptyset ) 40.35/40.66 ( omega ) 40.35/40.66 ( skv_24 ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((A $$unsorted) (BOUND_VARIABLE_1158 $$unsorted)) (let ((_let_0 (ho_14 k_13 BOUND_VARIABLE_1158))) (or (not (ho_7 (ho_14 k_13 emptyset) A)) (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_14 k_13 Xx))) (or (not (ho_7 _let_0 omega)) (not (ho_7 _let_0 A)) (ho_7 (ho_14 k_13 (ho_17 (ho_16 k_15 Xx) Xx)) A))) )) (not (ho_7 _let_0 omega)) (ho_7 _let_0 A))) ) 40.35/40.66 ( omega, omega ) 40.35/40.66 ( omega, skv_24 ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((BOUND_VARIABLE_1963 |u_(-> $$unsorted $$unsorted Bool)|) (A $$unsorted)) (or (not (forall ((Xx $$unsorted)) (or (not (ho_7 (ho_14 k_13 Xx) A)) (not (forall ((BOUND_VARIABLE_1474 $$unsorted)) (or (not (ho_7 (ho_14 BOUND_VARIABLE_1963 Xx) BOUND_VARIABLE_1474)) (not (forall ((BOUND_VARIABLE_1475 $$unsorted)) (or (not (ho_7 (ho_14 BOUND_VARIABLE_1963 Xx) BOUND_VARIABLE_1475)) (= BOUND_VARIABLE_1474 BOUND_VARIABLE_1475)) ))) ))) )) (not (forall ((B $$unsorted)) (not (forall ((Xx $$unsorted)) (= (ho_7 (ho_14 k_13 Xx) B) (not (forall ((Xy $$unsorted)) (or (not (ho_7 (ho_14 k_13 Xy) A)) (not (ho_7 (ho_14 BOUND_VARIABLE_1963 Xy) Xx))) ))) )) ))) ) 40.35/40.66 ( k_13, emptyset ) 40.35/40.66 ( k_13, omega ) 40.35/40.66 ( k_13, skv_24 ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((A $$unsorted) (BOUND_VARIABLE_1217 $$unsorted)) (or (not (ho_7 (ho_14 k_13 BOUND_VARIABLE_1217) A)) (not (forall ((B $$unsorted)) (or (not (ho_7 (ho_14 k_13 B) A)) (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_14 k_13 Xx))) (or (not (ho_7 _let_0 B)) (not (ho_7 _let_0 A)))) ))) ))) ) 40.35/40.66 ( emptyset, omega ) 40.35/40.66 ( emptyset, skv_24 ) 40.35/40.66 ( omega, emptyset ) 40.35/40.66 ( omega, omega ) 40.35/40.66 ( omega, skv_24 ) 40.35/40.66 ( skv_24, omega ) 40.35/40.66 ( skv_24, skv_24 ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((A $$unsorted)) (not (forall ((B $$unsorted)) (or (not (forall ((C $$unsorted) (BOUND_VARIABLE_1232 $$unsorted)) (let ((_let_0 (ho_14 k_13 BOUND_VARIABLE_1232))) (or (not (ho_7 (ho_14 k_13 C) B)) (not (ho_7 _let_0 C)) (ho_7 _let_0 A))) )) (not (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not (ho_7 (ho_14 k_13 Xx) A)) (not (ho_7 (ho_14 k_13 Xy) A)) (not (forall ((C $$unsorted)) (or (not (ho_7 (ho_14 k_13 C) B)) (= (ho_7 (ho_14 k_13 Xx) C) (ho_7 (ho_14 k_13 Xy) C))) )) (= Xx Xy)) )) (not (forall ((C $$unsorted) (D $$unsorted) (BOUND_VARIABLE_1271 $$unsorted) (BOUND_VARIABLE_1276 $$unsorted)) (let ((_let_0 (ho_14 k_13 BOUND_VARIABLE_1276))) (let ((_let_1 (ho_14 k_13 BOUND_VARIABLE_1271))) (or (not (ho_7 (ho_14 k_13 C) B)) (not (ho_7 (ho_14 k_13 D) B)) (not (ho_7 _let_1 C)) (ho_7 _let_1 D) (not (ho_7 _let_0 D)) (ho_7 _let_0 C)))) )) (not (forall ((C $$unsorted) (BOUND_VARIABLE_1339 $$unsorted)) (or (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_14 k_13 Xx))) (or (not (ho_7 _let_0 C)) (ho_7 _let_0 A))) )) (not (ho_7 (ho_14 k_13 BOUND_VARIABLE_1339) C)) (not (forall ((D $$unsorted) (Xx $$unsorted)) (or (not (ho_7 (ho_14 k_13 D) B)) (not (ho_7 (ho_14 k_13 Xx) C)) (not (forall ((Xy $$unsorted)) (let ((_let_0 (ho_14 k_13 Xy))) (or (not (ho_7 _let_0 D)) (not (ho_7 _let_0 C)))) )) (not (forall ((E $$unsorted) (BOUND_VARIABLE_1311 $$unsorted)) (let ((_let_0 (ho_14 k_13 BOUND_VARIABLE_1311))) (or (not (ho_7 (ho_14 k_13 E) B)) (ho_7 (ho_14 k_13 Xx) E) (not (ho_7 _let_0 E)) (ho_7 _let_0 D))) ))) ))) ))) )) ) 40.35/40.66 ( emptyset ) 40.35/40.66 ( omega ) 40.35/40.66 ( skv_24 ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((BOUND_VARIABLE_2128 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_1536 $$unsorted)) (or (ho_7 BOUND_VARIABLE_2128 (ho_21 k_20 (ho_9 k_12 BOUND_VARIABLE_2128))) (not (ho_7 BOUND_VARIABLE_2128 BOUND_VARIABLE_1536)) (not (forall ((BOUND_VARIABLE_1509 $$unsorted)) (or (not (ho_7 BOUND_VARIABLE_2128 BOUND_VARIABLE_1509)) (= BOUND_VARIABLE_1509 BOUND_VARIABLE_1536)) ))) ) 40.35/40.66 ( (ho_14 k_13 emptyset), omega ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((A $$unsorted) (BOUND_VARIABLE_2153 |u_(-> $$unsorted Bool)|) (Xx $$unsorted)) (let ((_let_0 (ho_14 k_13 Xx))) (or (not (ho_7 _let_0 A)) (not (ho_7 BOUND_VARIABLE_2153 Xx)) (ho_7 _let_0 (ho_21 (ho_23 k_22 A) (ho_9 k_11 BOUND_VARIABLE_2153))))) ) 40.35/40.66 ( emptyset, (ho_14 k_13 emptyset), omega ) 40.35/40.66 ( omega, (ho_14 k_13 emptyset), omega ) 40.35/40.66 ( skv_24, (ho_14 k_13 emptyset), omega ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((A $$unsorted) (BOUND_VARIABLE_2176 |u_(-> $$unsorted Bool)|) (Xx $$unsorted)) (let ((_let_0 (ho_14 k_13 Xx))) (or (not (ho_7 _let_0 (ho_21 (ho_23 k_22 A) (ho_9 k_10 BOUND_VARIABLE_2176)))) (ho_7 _let_0 A))) ) 40.35/40.66 ( emptyset, (ho_14 k_13 emptyset), emptyset ) 40.35/40.66 ( emptyset, (ho_14 k_13 emptyset), omega ) 40.35/40.66 ( emptyset, (ho_14 k_13 emptyset), skv_24 ) 40.35/40.66 ( omega, (ho_14 k_13 emptyset), omega ) 40.35/40.66 ( omega, (ho_14 k_13 emptyset), skv_24 ) 40.35/40.66 ( skv_24, (ho_14 k_13 emptyset), emptyset ) 40.35/40.66 ( skv_24, (ho_14 k_13 emptyset), omega ) 40.35/40.66 ( skv_24, (ho_14 k_13 emptyset), skv_24 ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((A $$unsorted) (BOUND_VARIABLE_2185 |u_(-> $$unsorted Bool)|) (Xx $$unsorted)) (or (not (ho_7 (ho_14 k_13 Xx) (ho_21 (ho_23 k_22 A) (ho_9 k_8 BOUND_VARIABLE_2185)))) (ho_7 BOUND_VARIABLE_2185 Xx)) ) 40.35/40.66 ( emptyset, (ho_14 k_13 emptyset), emptyset ) 40.35/40.66 ( emptyset, (ho_14 k_13 emptyset), skv_24 ) 40.35/40.66 ( omega, (ho_14 k_13 emptyset), emptyset ) 40.35/40.66 ( omega, (ho_14 k_13 emptyset), skv_24 ) 40.35/40.66 ( skv_24, (ho_14 k_13 emptyset), emptyset ) 40.35/40.66 ( skv_24, (ho_14 k_13 emptyset), skv_24 ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((BOUND_VARIABLE_2199 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_1586 $$unsorted)) (or (not (forall ((Xx $$unsorted)) (or (not (ho_7 BOUND_VARIABLE_2199 Xx)) (not (forall ((Xy $$unsorted)) (or (not (ho_7 BOUND_VARIABLE_2199 Xy)) (= Xx Xy)) ))) )) (not (ho_7 BOUND_VARIABLE_2199 BOUND_VARIABLE_1586)) (not (forall ((BOUND_VARIABLE_1559 $$unsorted)) (or (not (ho_7 BOUND_VARIABLE_2199 BOUND_VARIABLE_1559)) (= BOUND_VARIABLE_1559 BOUND_VARIABLE_1586)) ))) ) 40.35/40.66 ( (ho_14 k_13 emptyset), omega ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((Xx $$unsorted)) (not (ho_7 (ho_14 k_13 Xx) (ho_21 (ho_23 k_22 (ho_17 k_18 emptyset)) k_6))) ) 40.35/40.66 ( emptyset ) 40.35/40.66 ( omega ) 40.35/40.66 ( skv_24 ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((BOUND_VARIABLE_2244 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_1653 $$unsorted)) (or (not (forall ((Xx $$unsorted)) (not (ho_7 BOUND_VARIABLE_2244 Xx)) )) (not (ho_7 BOUND_VARIABLE_2244 BOUND_VARIABLE_1653)) (not (forall ((BOUND_VARIABLE_1626 $$unsorted)) (or (not (ho_7 BOUND_VARIABLE_2244 BOUND_VARIABLE_1626)) (= BOUND_VARIABLE_1626 BOUND_VARIABLE_1653)) ))) ) 40.35/40.66 ( (ho_14 k_13 emptyset), omega ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_14 k_13 Xx))) (or (not (ho_7 _let_0 A)) (ho_7 _let_0 B))) )) (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_14 k_13 Xx))) (or (not (ho_7 _let_0 B)) (ho_7 _let_0 A))) )) (= A B)) ) 40.35/40.66 ( emptyset, omega ) 40.35/40.66 ( emptyset, skv_24 ) 40.35/40.66 ( omega, emptyset ) 40.35/40.66 ( omega, skv_24 ) 40.35/40.66 ( skv_24, emptyset ) 40.35/40.66 ( skv_24, omega ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((x |u_(-> $$unsorted |u_(-> $$unsorted Bool)| $$unsorted)|) (y |u_(-> $$unsorted |u_(-> $$unsorted Bool)| $$unsorted)|)) (or (not (forall ((z $$unsorted)) (= (ho_23 x z) (ho_23 y z)) )) (= x y)) ) 40.35/40.66 ( |e_|u_(-> $$unsorted |u_(-> $$unsorted Bool)| $$unsorted)|_26|, |e_|u_(-> $$unsorted |u_(-> $$unsorted Bool)| $$unsorted)|_26| ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((x |u_(-> |u_(-> $$unsorted Bool)| $$unsorted)|) (y |u_(-> |u_(-> $$unsorted Bool)| $$unsorted)|)) (or (not (forall ((z |u_(-> $$unsorted Bool)|)) (= (ho_21 x z) (ho_21 y z)) )) (= x y)) ) 40.35/40.66 ( |e_|u_(-> |u_(-> $$unsorted Bool)| $$unsorted)|_27|, |e_|u_(-> |u_(-> $$unsorted Bool)| $$unsorted)|_27| ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((x |u_(-> |u_(-> $$unsorted Bool)| $$unsorted Bool)|) (y |u_(-> |u_(-> $$unsorted Bool)| $$unsorted Bool)|)) (or (not (forall ((z |u_(-> $$unsorted Bool)|)) (= (ho_9 x z) (ho_9 y z)) )) (= x y)) ) 40.35/40.66 ( |e_|u_(-> |u_(-> $$unsorted Bool)| $$unsorted Bool)|_28|, |e_|u_(-> |u_(-> $$unsorted Bool)| $$unsorted Bool)|_28| ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((x |u_(-> $$unsorted $$unsorted)|) (y |u_(-> $$unsorted $$unsorted)|)) (or (not (forall ((z $$unsorted)) (= (ho_17 x z) (ho_17 y z)) )) (= x y)) ) 40.35/40.66 ( |e_|u_(-> $$unsorted $$unsorted)|_29|, |e_|u_(-> $$unsorted $$unsorted)|_29| ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((x |u_(-> $$unsorted $$unsorted $$unsorted)|) (y |u_(-> $$unsorted $$unsorted $$unsorted)|)) (or (not (forall ((z $$unsorted)) (= (ho_16 x z) (ho_16 y z)) )) (= x y)) ) 40.35/40.66 ( |e_|u_(-> $$unsorted $$unsorted $$unsorted)|_30|, |e_|u_(-> $$unsorted $$unsorted $$unsorted)|_30| ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((u |u_(-> $$unsorted |u_(-> $$unsorted Bool)| $$unsorted)|) (e |u_(-> |u_(-> $$unsorted Bool)| $$unsorted)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted |u_(-> $$unsorted Bool)| $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_23 v ii) (ite (= i ii) e (ho_23 u ii))) )) )) ) 40.35/40.66 ( |e_|u_(-> $$unsorted |u_(-> $$unsorted Bool)| $$unsorted)|_26|, |e_|u_(-> |u_(-> $$unsorted Bool)| $$unsorted)|_27|, emptyset ) 40.35/40.66 ( |e_|u_(-> $$unsorted |u_(-> $$unsorted Bool)| $$unsorted)|_26|, |e_|u_(-> |u_(-> $$unsorted Bool)| $$unsorted)|_27|, omega ) 40.35/40.66 ( |e_|u_(-> $$unsorted |u_(-> $$unsorted Bool)| $$unsorted)|_26|, |e_|u_(-> |u_(-> $$unsorted Bool)| $$unsorted)|_27|, skv_24 ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((u |u_(-> |u_(-> $$unsorted Bool)| $$unsorted)|) (e $$unsorted) (i |u_(-> $$unsorted Bool)|)) (not (forall ((v |u_(-> |u_(-> $$unsorted Bool)| $$unsorted)|)) (not (forall ((ii |u_(-> $$unsorted Bool)|)) (= (ho_21 v ii) (ite (= i ii) e (ho_21 u ii))) )) )) ) 40.35/40.66 ( |e_|u_(-> |u_(-> $$unsorted Bool)| $$unsorted)|_27|, emptyset, (ho_14 k_13 emptyset) ) 40.35/40.66 ( |e_|u_(-> |u_(-> $$unsorted Bool)| $$unsorted)|_27|, omega, (ho_14 k_13 emptyset) ) 40.35/40.66 ( |e_|u_(-> |u_(-> $$unsorted Bool)| $$unsorted)|_27|, skv_24, (ho_14 k_13 emptyset) ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((u |u_(-> |u_(-> $$unsorted Bool)| $$unsorted Bool)|) (e |u_(-> $$unsorted Bool)|) (i |u_(-> $$unsorted Bool)|)) (not (forall ((v |u_(-> |u_(-> $$unsorted Bool)| $$unsorted Bool)|)) (not (forall ((ii |u_(-> $$unsorted Bool)|)) (= (ho_9 v ii) (ite (= i ii) e (ho_9 u ii))) )) )) ) 40.35/40.66 ( |e_|u_(-> |u_(-> $$unsorted Bool)| $$unsorted Bool)|_28|, (ho_14 k_13 emptyset), (ho_14 k_13 emptyset) ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= i ii) e (ho_7 u ii))) )) )) ) 40.35/40.66 ( (ho_14 k_13 emptyset), true, emptyset ) 40.35/40.66 ( (ho_14 k_13 emptyset), true, omega ) 40.35/40.66 ( (ho_14 k_13 emptyset), true, skv_24 ) 40.35/40.66 ( (ho_14 k_13 emptyset), false, emptyset ) 40.35/40.66 ( (ho_14 k_13 emptyset), false, omega ) 40.35/40.66 ( (ho_14 k_13 emptyset), false, skv_24 ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((u |u_(-> $$unsorted $$unsorted Bool)|) (e |u_(-> $$unsorted Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_14 v ii) (ite (= i ii) e (ho_14 u ii))) )) )) ) 40.35/40.66 ( k_13, (ho_14 k_13 emptyset), emptyset ) 40.35/40.66 ( k_13, (ho_14 k_13 emptyset), omega ) 40.35/40.66 ( k_13, (ho_14 k_13 emptyset), skv_24 ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((u |u_(-> $$unsorted $$unsorted)|) (e $$unsorted) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_17 v ii) (ite (= i ii) e (ho_17 u ii))) )) )) ) 40.35/40.66 ( |e_|u_(-> $$unsorted $$unsorted)|_29|, emptyset, emptyset ) 40.35/40.66 ( |e_|u_(-> $$unsorted $$unsorted)|_29|, emptyset, omega ) 40.35/40.66 ( |e_|u_(-> $$unsorted $$unsorted)|_29|, emptyset, skv_24 ) 40.35/40.66 ( |e_|u_(-> $$unsorted $$unsorted)|_29|, omega, emptyset ) 40.35/40.66 ( |e_|u_(-> $$unsorted $$unsorted)|_29|, omega, omega ) 40.35/40.66 ( |e_|u_(-> $$unsorted $$unsorted)|_29|, omega, skv_24 ) 40.35/40.66 ( |e_|u_(-> $$unsorted $$unsorted)|_29|, skv_24, emptyset ) 40.35/40.66 ( |e_|u_(-> $$unsorted $$unsorted)|_29|, skv_24, omega ) 40.35/40.66 ( |e_|u_(-> $$unsorted $$unsorted)|_29|, skv_24, skv_24 ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((u |u_(-> $$unsorted $$unsorted $$unsorted)|) (e |u_(-> $$unsorted $$unsorted)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_16 v ii) (ite (= i ii) e (ho_16 u ii))) )) )) ) 40.35/40.66 ( |e_|u_(-> $$unsorted $$unsorted $$unsorted)|_30|, |e_|u_(-> $$unsorted $$unsorted)|_29|, emptyset ) 40.35/40.66 ( |e_|u_(-> $$unsorted $$unsorted $$unsorted)|_30|, |e_|u_(-> $$unsorted $$unsorted)|_29|, omega ) 40.35/40.66 ( |e_|u_(-> $$unsorted $$unsorted $$unsorted)|_30|, |e_|u_(-> $$unsorted $$unsorted)|_29|, skv_24 ) 40.35/40.66 ) 40.35/40.66 (instantiation (forall ((Xx $$unsorted)) (not (ho_7 (ho_14 k_13 Xx) skv_24)) ) 40.35/40.66 ( emptyset ) 40.35/40.66 ( omega ) 40.35/40.66 ( skv_24 ) 40.35/40.66 ( skv_60 ) 40.35/40.66 ( skv_61 ) 40.35/40.66 ( skv_67 ) 40.35/40.66 ( skv_69 ) 40.35/40.66 ( skv_74 ) 40.35/40.66 ) 40.35/40.66 % SZS output end Proof for theBenchmark 40.35/40.66 EOF