0.00/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : duper %s 0.13/0.33 % Computer : n014.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 : 1440 0.13/0.33 % WCLimit : 180 0.13/0.33 % DateTime : Mon Jul 3 03:51:09 EDT 2023 0.13/0.33 % CPUTime : 20.34/20.58 SZS status Theorem for theBenchmark.p 20.34/20.58 SZS output start Proof for theBenchmark.p 20.34/20.58 Clause #0 (by assumption #[]): Eq 20.34/20.58 (Not 20.34/20.58 (Not 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And (And (And (cQ_1 a b c) (cP_1 b b)) (cP_1 c c)) 20.34/20.58 (∀ (Xx : Iota), cP_2 d Xx)) 20.34/20.58 (∀ (Xx Xy : Iota), Or (Not (cP_2 Xx Xy)) (cP_2 (f Xx) Xy))) 20.34/20.58 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.34/20.58 Or 20.34/20.58 (Or 20.34/20.58 (Or (Or (Not (cP_2 (f Xx) Xu)) (Not (cP_2 (f Xy) Xv))) 20.34/20.58 (cQ_3 Xu Xv Xw)) 20.34/20.58 (Not (cP_2 (f Xz) Xw))) 20.34/20.58 (Not (cQ_2 Xx Xy Xz)))) 20.34/20.58 (cP_3 b b)) 20.34/20.58 (cP_3 c c)) 20.34/20.58 (∀ (Xx : Iota), cP_3 d Xx)) 20.34/20.58 (∀ (Xx Xy : Iota), Or (cP_3 (f Xx) Xy) (Not (cP_3 Xx Xy)))) 20.34/20.58 (cP_4 a a)) 20.34/20.58 (cP_4 c c)) 20.34/20.58 (∀ (Xx Xy : Iota), Or (cP_4 (f Xx) Xy) (Not (cP_4 Xx Xy)))) 20.34/20.58 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.34/20.58 Or 20.34/20.58 (Or (Or (Or (Not (cP_4 (f Xx) Xu)) (Not (cP_4 (f Xy) Xv))) (cQ_5 Xu Xv Xw)) 20.34/20.58 (Not (cP_4 (f Xz) Xw))) 20.34/20.58 (Not (cQ_4 Xx Xy Xz)))) 20.34/20.58 (∀ (Xx Xy Xz : Iota), Not (cQ_5 Xx Xy Xz))) 20.34/20.58 (∀ (Xx : Iota), cP_4 d Xx)) 20.34/20.58 (cP_4 b b)) 20.34/20.58 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.34/20.58 Or 20.34/20.58 (Or (Or (Or (Not (cP_3 (f Xy) Xv)) (Not (cP_3 (f Xz) Xw))) (cQ_4 Xu Xv Xw)) 20.34/20.58 (Not (cP_3 (f Xx) Xu))) 20.34/20.58 (Not (cQ_3 Xx Xy Xz)))) 20.34/20.58 (cP_3 a a)) 20.34/20.58 (cP_2 c c)) 20.34/20.58 (cP_2 b b)) 20.34/20.58 (cP_2 a a)) 20.34/20.58 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.34/20.58 Or (Or (Or (Or (Not (cP_1 (f Xy) Xv)) (Not (cP_1 (f Xz) Xw))) (cQ_2 Xu Xv Xw)) (Not (cP_1 (f Xx) Xu))) 20.34/20.58 (Not (cQ_1 Xx Xy Xz)))) 20.34/20.58 (∀ (Xx Xy : Iota), Or (Not (cP_1 Xx Xy)) (cP_1 (f Xx) Xy))) 20.34/20.58 (∀ (Xx : Iota), cP_1 d Xx)) 20.34/20.58 (cP_1 a a)))) 20.34/20.58 True 20.34/20.58 Clause #1 (by clausification #[0]): Eq 20.34/20.58 (Not 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.58 (And 20.34/20.59 (And (And (And (cQ_1 a b c) (cP_1 b b)) (cP_1 c c)) 20.34/20.59 (∀ (Xx : Iota), cP_2 d Xx)) 20.34/20.59 (∀ (Xx Xy : Iota), Or (Not (cP_2 Xx Xy)) (cP_2 (f Xx) Xy))) 20.34/20.59 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.34/20.59 Or 20.34/20.59 (Or 20.34/20.59 (Or (Or (Not (cP_2 (f Xx) Xu)) (Not (cP_2 (f Xy) Xv))) 20.34/20.59 (cQ_3 Xu Xv Xw)) 20.34/20.59 (Not (cP_2 (f Xz) Xw))) 20.34/20.59 (Not (cQ_2 Xx Xy Xz)))) 20.34/20.59 (cP_3 b b)) 20.34/20.59 (cP_3 c c)) 20.34/20.59 (∀ (Xx : Iota), cP_3 d Xx)) 20.34/20.59 (∀ (Xx Xy : Iota), Or (cP_3 (f Xx) Xy) (Not (cP_3 Xx Xy)))) 20.44/20.59 (cP_4 a a)) 20.44/20.59 (cP_4 c c)) 20.44/20.59 (∀ (Xx Xy : Iota), Or (cP_4 (f Xx) Xy) (Not (cP_4 Xx Xy)))) 20.44/20.59 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.44/20.59 Or 20.44/20.59 (Or (Or (Or (Not (cP_4 (f Xx) Xu)) (Not (cP_4 (f Xy) Xv))) (cQ_5 Xu Xv Xw)) 20.44/20.59 (Not (cP_4 (f Xz) Xw))) 20.44/20.59 (Not (cQ_4 Xx Xy Xz)))) 20.44/20.59 (∀ (Xx Xy Xz : Iota), Not (cQ_5 Xx Xy Xz))) 20.44/20.59 (∀ (Xx : Iota), cP_4 d Xx)) 20.44/20.59 (cP_4 b b)) 20.44/20.59 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.44/20.59 Or 20.44/20.59 (Or (Or (Or (Not (cP_3 (f Xy) Xv)) (Not (cP_3 (f Xz) Xw))) (cQ_4 Xu Xv Xw)) 20.44/20.59 (Not (cP_3 (f Xx) Xu))) 20.44/20.59 (Not (cQ_3 Xx Xy Xz)))) 20.44/20.59 (cP_3 a a)) 20.44/20.59 (cP_2 c c)) 20.44/20.59 (cP_2 b b)) 20.44/20.59 (cP_2 a a)) 20.44/20.59 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.44/20.59 Or (Or (Or (Or (Not (cP_1 (f Xy) Xv)) (Not (cP_1 (f Xz) Xw))) (cQ_2 Xu Xv Xw)) (Not (cP_1 (f Xx) Xu))) 20.44/20.59 (Not (cQ_1 Xx Xy Xz)))) 20.44/20.59 (∀ (Xx Xy : Iota), Or (Not (cP_1 Xx Xy)) (cP_1 (f Xx) Xy))) 20.44/20.59 (∀ (Xx : Iota), cP_1 d Xx)) 20.44/20.59 (cP_1 a a))) 20.44/20.59 False 20.44/20.59 Clause #2 (by clausification #[1]): Eq 20.44/20.59 (And 20.44/20.59 (And 20.44/20.59 (And 20.44/20.59 (And 20.44/20.59 (And 20.44/20.59 (And 20.44/20.59 (And 20.44/20.59 (And 20.44/20.59 (And 20.44/20.59 (And 20.44/20.59 (And 20.44/20.59 (And 20.44/20.59 (And 20.44/20.59 (And 20.44/20.59 (And 20.44/20.59 (And 20.44/20.59 (And 20.44/20.59 (And 20.44/20.59 (And 20.44/20.59 (And 20.44/20.59 (And 20.44/20.59 (And 20.44/20.59 (And (And (And (cQ_1 a b c) (cP_1 b b)) (cP_1 c c)) 20.44/20.59 (∀ (Xx : Iota), cP_2 d Xx)) 20.44/20.59 (∀ (Xx Xy : Iota), Or (Not (cP_2 Xx Xy)) (cP_2 (f Xx) Xy))) 20.44/20.59 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.44/20.59 Or 20.44/20.59 (Or 20.44/20.59 (Or (Or (Not (cP_2 (f Xx) Xu)) (Not (cP_2 (f Xy) Xv))) 20.44/20.59 (cQ_3 Xu Xv Xw)) 20.44/20.59 (Not (cP_2 (f Xz) Xw))) 20.44/20.59 (Not (cQ_2 Xx Xy Xz)))) 20.44/20.59 (cP_3 b b)) 20.44/20.59 (cP_3 c c)) 20.44/20.59 (∀ (Xx : Iota), cP_3 d Xx)) 20.44/20.60 (∀ (Xx Xy : Iota), Or (cP_3 (f Xx) Xy) (Not (cP_3 Xx Xy)))) 20.44/20.60 (cP_4 a a)) 20.44/20.60 (cP_4 c c)) 20.44/20.60 (∀ (Xx Xy : Iota), Or (cP_4 (f Xx) Xy) (Not (cP_4 Xx Xy)))) 20.44/20.60 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.44/20.60 Or 20.44/20.60 (Or (Or (Or (Not (cP_4 (f Xx) Xu)) (Not (cP_4 (f Xy) Xv))) (cQ_5 Xu Xv Xw)) 20.44/20.60 (Not (cP_4 (f Xz) Xw))) 20.44/20.60 (Not (cQ_4 Xx Xy Xz)))) 20.44/20.60 (∀ (Xx Xy Xz : Iota), Not (cQ_5 Xx Xy Xz))) 20.44/20.60 (∀ (Xx : Iota), cP_4 d Xx)) 20.44/20.60 (cP_4 b b)) 20.44/20.60 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.44/20.60 Or 20.44/20.60 (Or (Or (Or (Not (cP_3 (f Xy) Xv)) (Not (cP_3 (f Xz) Xw))) (cQ_4 Xu Xv Xw)) 20.44/20.60 (Not (cP_3 (f Xx) Xu))) 20.44/20.60 (Not (cQ_3 Xx Xy Xz)))) 20.44/20.60 (cP_3 a a)) 20.44/20.60 (cP_2 c c)) 20.44/20.60 (cP_2 b b)) 20.44/20.60 (cP_2 a a)) 20.44/20.60 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.44/20.60 Or (Or (Or (Or (Not (cP_1 (f Xy) Xv)) (Not (cP_1 (f Xz) Xw))) (cQ_2 Xu Xv Xw)) (Not (cP_1 (f Xx) Xu))) 20.44/20.60 (Not (cQ_1 Xx Xy Xz)))) 20.44/20.60 (∀ (Xx Xy : Iota), Or (Not (cP_1 Xx Xy)) (cP_1 (f Xx) Xy))) 20.44/20.60 (∀ (Xx : Iota), cP_1 d Xx)) 20.44/20.60 (cP_1 a a)) 20.44/20.60 True 20.44/20.60 Clause #3 (by clausification #[2]): Eq (cP_1 a a) True 20.44/20.60 Clause #4 (by clausification #[2]): Eq 20.44/20.60 (And 20.44/20.60 (And 20.44/20.60 (And 20.44/20.60 (And 20.44/20.60 (And 20.44/20.60 (And 20.44/20.60 (And 20.44/20.60 (And 20.44/20.60 (And 20.44/20.60 (And 20.44/20.60 (And 20.44/20.60 (And 20.44/20.60 (And 20.44/20.60 (And 20.44/20.60 (And 20.44/20.60 (And 20.44/20.60 (And 20.44/20.60 (And 20.44/20.60 (And 20.44/20.60 (And 20.44/20.60 (And 20.44/20.60 (And (And (And (cQ_1 a b c) (cP_1 b b)) (cP_1 c c)) 20.44/20.60 (∀ (Xx : Iota), cP_2 d Xx)) 20.44/20.60 (∀ (Xx Xy : Iota), Or (Not (cP_2 Xx Xy)) (cP_2 (f Xx) Xy))) 20.44/20.60 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.44/20.60 Or 20.44/20.60 (Or 20.44/20.60 (Or (Or (Not (cP_2 (f Xx) Xu)) (Not (cP_2 (f Xy) Xv))) (cQ_3 Xu Xv Xw)) 20.44/20.60 (Not (cP_2 (f Xz) Xw))) 20.44/20.60 (Not (cQ_2 Xx Xy Xz)))) 20.44/20.60 (cP_3 b b)) 20.44/20.60 (cP_3 c c)) 20.44/20.60 (∀ (Xx : Iota), cP_3 d Xx)) 20.44/20.60 (∀ (Xx Xy : Iota), Or (cP_3 (f Xx) Xy) (Not (cP_3 Xx Xy)))) 20.44/20.60 (cP_4 a a)) 20.44/20.60 (cP_4 c c)) 20.44/20.60 (∀ (Xx Xy : Iota), Or (cP_4 (f Xx) Xy) (Not (cP_4 Xx Xy)))) 20.44/20.60 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.44/20.60 Or 20.44/20.60 (Or (Or (Or (Not (cP_4 (f Xx) Xu)) (Not (cP_4 (f Xy) Xv))) (cQ_5 Xu Xv Xw)) 20.44/20.60 (Not (cP_4 (f Xz) Xw))) 20.44/20.60 (Not (cQ_4 Xx Xy Xz)))) 20.44/20.60 (∀ (Xx Xy Xz : Iota), Not (cQ_5 Xx Xy Xz))) 20.44/20.60 (∀ (Xx : Iota), cP_4 d Xx)) 20.44/20.60 (cP_4 b b)) 20.44/20.60 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.44/20.60 Or 20.44/20.60 (Or (Or (Or (Not (cP_3 (f Xy) Xv)) (Not (cP_3 (f Xz) Xw))) (cQ_4 Xu Xv Xw)) 20.44/20.60 (Not (cP_3 (f Xx) Xu))) 20.44/20.60 (Not (cQ_3 Xx Xy Xz)))) 20.44/20.60 (cP_3 a a)) 20.44/20.60 (cP_2 c c)) 20.46/20.62 (cP_2 b b)) 20.46/20.62 (cP_2 a a)) 20.46/20.62 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.62 Or (Or (Or (Or (Not (cP_1 (f Xy) Xv)) (Not (cP_1 (f Xz) Xw))) (cQ_2 Xu Xv Xw)) (Not (cP_1 (f Xx) Xu))) 20.46/20.62 (Not (cQ_1 Xx Xy Xz)))) 20.46/20.62 (∀ (Xx Xy : Iota), Or (Not (cP_1 Xx Xy)) (cP_1 (f Xx) Xy))) 20.46/20.62 (∀ (Xx : Iota), cP_1 d Xx)) 20.46/20.62 True 20.46/20.62 Clause #6 (by clausification #[4]): Eq 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And (And (And (cQ_1 a b c) (cP_1 b b)) (cP_1 c c)) 20.46/20.62 (∀ (Xx : Iota), cP_2 d Xx)) 20.46/20.62 (∀ (Xx Xy : Iota), Or (Not (cP_2 Xx Xy)) (cP_2 (f Xx) Xy))) 20.46/20.62 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.62 Or 20.46/20.62 (Or (Or (Or (Not (cP_2 (f Xx) Xu)) (Not (cP_2 (f Xy) Xv))) (cQ_3 Xu Xv Xw)) 20.46/20.62 (Not (cP_2 (f Xz) Xw))) 20.46/20.62 (Not (cQ_2 Xx Xy Xz)))) 20.46/20.62 (cP_3 b b)) 20.46/20.62 (cP_3 c c)) 20.46/20.62 (∀ (Xx : Iota), cP_3 d Xx)) 20.46/20.62 (∀ (Xx Xy : Iota), Or (cP_3 (f Xx) Xy) (Not (cP_3 Xx Xy)))) 20.46/20.62 (cP_4 a a)) 20.46/20.62 (cP_4 c c)) 20.46/20.62 (∀ (Xx Xy : Iota), Or (cP_4 (f Xx) Xy) (Not (cP_4 Xx Xy)))) 20.46/20.62 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.62 Or 20.46/20.62 (Or (Or (Or (Not (cP_4 (f Xx) Xu)) (Not (cP_4 (f Xy) Xv))) (cQ_5 Xu Xv Xw)) 20.46/20.62 (Not (cP_4 (f Xz) Xw))) 20.46/20.62 (Not (cQ_4 Xx Xy Xz)))) 20.46/20.62 (∀ (Xx Xy Xz : Iota), Not (cQ_5 Xx Xy Xz))) 20.46/20.62 (∀ (Xx : Iota), cP_4 d Xx)) 20.46/20.62 (cP_4 b b)) 20.46/20.62 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.62 Or (Or (Or (Or (Not (cP_3 (f Xy) Xv)) (Not (cP_3 (f Xz) Xw))) (cQ_4 Xu Xv Xw)) (Not (cP_3 (f Xx) Xu))) 20.46/20.62 (Not (cQ_3 Xx Xy Xz)))) 20.46/20.62 (cP_3 a a)) 20.46/20.62 (cP_2 c c)) 20.46/20.62 (cP_2 b b)) 20.46/20.62 (cP_2 a a)) 20.46/20.62 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.62 Or (Or (Or (Or (Not (cP_1 (f Xy) Xv)) (Not (cP_1 (f Xz) Xw))) (cQ_2 Xu Xv Xw)) (Not (cP_1 (f Xx) Xu))) 20.46/20.62 (Not (cQ_1 Xx Xy Xz)))) 20.46/20.62 (∀ (Xx Xy : Iota), Or (Not (cP_1 Xx Xy)) (cP_1 (f Xx) Xy))) 20.46/20.62 True 20.46/20.62 Clause #8 (by clausification #[6]): Eq (∀ (Xx Xy : Iota), Or (Not (cP_1 Xx Xy)) (cP_1 (f Xx) Xy)) True 20.46/20.62 Clause #9 (by clausification #[6]): Eq 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And 20.46/20.62 (And (And (And (cQ_1 a b c) (cP_1 b b)) (cP_1 c c)) (∀ (Xx : Iota), cP_2 d Xx)) 20.46/20.62 (∀ (Xx Xy : Iota), Or (Not (cP_2 Xx Xy)) (cP_2 (f Xx) Xy))) 20.46/20.62 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.62 Or 20.46/20.62 (Or (Or (Or (Not (cP_2 (f Xx) Xu)) (Not (cP_2 (f Xy) Xv))) (cQ_3 Xu Xv Xw)) 20.46/20.62 (Not (cP_2 (f Xz) Xw))) 20.46/20.63 (Not (cQ_2 Xx Xy Xz)))) 20.46/20.63 (cP_3 b b)) 20.46/20.63 (cP_3 c c)) 20.46/20.63 (∀ (Xx : Iota), cP_3 d Xx)) 20.46/20.63 (∀ (Xx Xy : Iota), Or (cP_3 (f Xx) Xy) (Not (cP_3 Xx Xy)))) 20.46/20.63 (cP_4 a a)) 20.46/20.63 (cP_4 c c)) 20.46/20.63 (∀ (Xx Xy : Iota), Or (cP_4 (f Xx) Xy) (Not (cP_4 Xx Xy)))) 20.46/20.63 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.63 Or 20.46/20.63 (Or (Or (Or (Not (cP_4 (f Xx) Xu)) (Not (cP_4 (f Xy) Xv))) (cQ_5 Xu Xv Xw)) 20.46/20.63 (Not (cP_4 (f Xz) Xw))) 20.46/20.63 (Not (cQ_4 Xx Xy Xz)))) 20.46/20.63 (∀ (Xx Xy Xz : Iota), Not (cQ_5 Xx Xy Xz))) 20.46/20.63 (∀ (Xx : Iota), cP_4 d Xx)) 20.46/20.63 (cP_4 b b)) 20.46/20.63 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.63 Or (Or (Or (Or (Not (cP_3 (f Xy) Xv)) (Not (cP_3 (f Xz) Xw))) (cQ_4 Xu Xv Xw)) (Not (cP_3 (f Xx) Xu))) 20.46/20.63 (Not (cQ_3 Xx Xy Xz)))) 20.46/20.63 (cP_3 a a)) 20.46/20.63 (cP_2 c c)) 20.46/20.63 (cP_2 b b)) 20.46/20.63 (cP_2 a a)) 20.46/20.63 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.63 Or (Or (Or (Or (Not (cP_1 (f Xy) Xv)) (Not (cP_1 (f Xz) Xw))) (cQ_2 Xu Xv Xw)) (Not (cP_1 (f Xx) Xu))) 20.46/20.63 (Not (cQ_1 Xx Xy Xz)))) 20.46/20.63 True 20.46/20.63 Clause #10 (by clausification #[8]): ∀ (a : Iota), Eq (∀ (Xy : Iota), Or (Not (cP_1 a Xy)) (cP_1 (f a) Xy)) True 20.46/20.63 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (Or (Not (cP_1 a a_1)) (cP_1 (f a) a_1)) True 20.46/20.63 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Or (Eq (Not (cP_1 a a_1)) True) (Eq (cP_1 (f a) a_1) True) 20.46/20.63 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), Or (Eq (cP_1 (f a) a_1) True) (Eq (cP_1 a a_1) False) 20.46/20.63 Clause #14 (by superposition #[13, 3]): Or (Eq (cP_1 (f a) a) True) (Eq False True) 20.46/20.63 Clause #18 (by clausification #[14]): Eq (cP_1 (f a) a) True 20.46/20.63 Clause #20 (by clausification #[9]): Eq 20.46/20.63 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.63 Or (Or (Or (Or (Not (cP_1 (f Xy) Xv)) (Not (cP_1 (f Xz) Xw))) (cQ_2 Xu Xv Xw)) (Not (cP_1 (f Xx) Xu))) 20.46/20.63 (Not (cQ_1 Xx Xy Xz))) 20.46/20.63 True 20.46/20.63 Clause #21 (by clausification #[9]): Eq 20.46/20.63 (And 20.46/20.63 (And 20.46/20.63 (And 20.46/20.63 (And 20.46/20.63 (And 20.46/20.63 (And 20.46/20.63 (And 20.46/20.63 (And 20.46/20.63 (And 20.46/20.63 (And 20.46/20.63 (And 20.46/20.63 (And 20.46/20.63 (And 20.46/20.63 (And 20.46/20.63 (And 20.46/20.63 (And 20.46/20.63 (And 20.46/20.63 (And (And (And (And (cQ_1 a b c) (cP_1 b b)) (cP_1 c c)) (∀ (Xx : Iota), cP_2 d Xx)) 20.46/20.63 (∀ (Xx Xy : Iota), Or (Not (cP_2 Xx Xy)) (cP_2 (f Xx) Xy))) 20.46/20.63 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.63 Or 20.46/20.63 (Or (Or (Or (Not (cP_2 (f Xx) Xu)) (Not (cP_2 (f Xy) Xv))) (cQ_3 Xu Xv Xw)) 20.46/20.63 (Not (cP_2 (f Xz) Xw))) 20.46/20.63 (Not (cQ_2 Xx Xy Xz)))) 20.46/20.63 (cP_3 b b)) 20.46/20.63 (cP_3 c c)) 20.46/20.63 (∀ (Xx : Iota), cP_3 d Xx)) 20.46/20.63 (∀ (Xx Xy : Iota), Or (cP_3 (f Xx) Xy) (Not (cP_3 Xx Xy)))) 20.46/20.63 (cP_4 a a)) 20.46/20.63 (cP_4 c c)) 20.46/20.63 (∀ (Xx Xy : Iota), Or (cP_4 (f Xx) Xy) (Not (cP_4 Xx Xy)))) 20.46/20.63 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.63 Or 20.46/20.63 (Or (Or (Or (Not (cP_4 (f Xx) Xu)) (Not (cP_4 (f Xy) Xv))) (cQ_5 Xu Xv Xw)) 20.46/20.63 (Not (cP_4 (f Xz) Xw))) 20.46/20.63 (Not (cQ_4 Xx Xy Xz)))) 20.46/20.63 (∀ (Xx Xy Xz : Iota), Not (cQ_5 Xx Xy Xz))) 20.46/20.63 (∀ (Xx : Iota), cP_4 d Xx)) 20.46/20.63 (cP_4 b b)) 20.46/20.63 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.66 Or (Or (Or (Or (Not (cP_3 (f Xy) Xv)) (Not (cP_3 (f Xz) Xw))) (cQ_4 Xu Xv Xw)) (Not (cP_3 (f Xx) Xu))) 20.46/20.66 (Not (cQ_3 Xx Xy Xz)))) 20.46/20.66 (cP_3 a a)) 20.46/20.66 (cP_2 c c)) 20.46/20.66 (cP_2 b b)) 20.46/20.66 (cP_2 a a)) 20.46/20.66 True 20.46/20.66 Clause #22 (by clausification #[20]): ∀ (a : Iota), 20.46/20.66 Eq 20.46/20.66 (∀ (Xy Xz Xu Xv Xw : Iota), 20.46/20.66 Or (Or (Or (Or (Not (cP_1 (f Xy) Xv)) (Not (cP_1 (f Xz) Xw))) (cQ_2 Xu Xv Xw)) (Not (cP_1 (f a) Xu))) 20.46/20.66 (Not (cQ_1 a Xy Xz))) 20.46/20.66 True 20.46/20.66 Clause #23 (by clausification #[22]): ∀ (a a_1 : Iota), 20.46/20.66 Eq 20.46/20.66 (∀ (Xz Xu Xv Xw : Iota), 20.46/20.66 Or (Or (Or (Or (Not (cP_1 (f a) Xv)) (Not (cP_1 (f Xz) Xw))) (cQ_2 Xu Xv Xw)) (Not (cP_1 (f a_1) Xu))) 20.46/20.66 (Not (cQ_1 a_1 a Xz))) 20.46/20.66 True 20.46/20.66 Clause #24 (by clausification #[23]): ∀ (a a_1 a_2 : Iota), 20.46/20.66 Eq 20.46/20.66 (∀ (Xu Xv Xw : Iota), 20.46/20.66 Or (Or (Or (Or (Not (cP_1 (f a) Xv)) (Not (cP_1 (f a_1) Xw))) (cQ_2 Xu Xv Xw)) (Not (cP_1 (f a_2) Xu))) 20.46/20.66 (Not (cQ_1 a_2 a a_1))) 20.46/20.66 True 20.46/20.66 Clause #25 (by clausification #[24]): ∀ (a a_1 a_2 a_3 : Iota), 20.46/20.66 Eq 20.46/20.66 (∀ (Xv Xw : Iota), 20.46/20.66 Or (Or (Or (Or (Not (cP_1 (f a) Xv)) (Not (cP_1 (f a_1) Xw))) (cQ_2 a_2 Xv Xw)) (Not (cP_1 (f a_3) a_2))) 20.46/20.66 (Not (cQ_1 a_3 a a_1))) 20.46/20.66 True 20.46/20.66 Clause #26 (by clausification #[25]): ∀ (a a_1 a_2 a_3 a_4 : Iota), 20.46/20.66 Eq 20.46/20.66 (∀ (Xw : Iota), 20.46/20.66 Or (Or (Or (Or (Not (cP_1 (f a) a_1)) (Not (cP_1 (f a_2) Xw))) (cQ_2 a_3 a_1 Xw)) (Not (cP_1 (f a_4) a_3))) 20.46/20.66 (Not (cQ_1 a_4 a a_2))) 20.46/20.66 True 20.46/20.66 Clause #27 (by clausification #[26]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.46/20.66 Eq 20.46/20.66 (Or (Or (Or (Or (Not (cP_1 (f a) a_1)) (Not (cP_1 (f a_2) a_3))) (cQ_2 a_4 a_1 a_3)) (Not (cP_1 (f a_5) a_4))) 20.46/20.66 (Not (cQ_1 a_5 a a_2))) 20.46/20.66 True 20.46/20.66 Clause #28 (by clausification #[27]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.46/20.66 Or 20.46/20.66 (Eq (Or (Or (Or (Not (cP_1 (f a) a_1)) (Not (cP_1 (f a_2) a_3))) (cQ_2 a_4 a_1 a_3)) (Not (cP_1 (f a_5) a_4))) True) 20.46/20.66 (Eq (Not (cQ_1 a_5 a a_2)) True) 20.46/20.66 Clause #29 (by clausification #[28]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.46/20.66 Or (Eq (Not (cQ_1 a a_1 a_2)) True) 20.46/20.66 (Or (Eq (Or (Or (Not (cP_1 (f a_1) a_3)) (Not (cP_1 (f a_2) a_4))) (cQ_2 a_5 a_3 a_4)) True) 20.46/20.66 (Eq (Not (cP_1 (f a) a_5)) True)) 20.46/20.66 Clause #30 (by clausification #[29]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.46/20.66 Or (Eq (Or (Or (Not (cP_1 (f a) a_1)) (Not (cP_1 (f a_2) a_3))) (cQ_2 a_4 a_1 a_3)) True) 20.46/20.66 (Or (Eq (Not (cP_1 (f a_5) a_4)) True) (Eq (cQ_1 a_5 a a_2) False)) 20.46/20.66 Clause #31 (by clausification #[30]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.46/20.66 Or (Eq (Not (cP_1 (f a) a_1)) True) 20.46/20.66 (Or (Eq (cQ_1 a a_2 a_3) False) 20.46/20.66 (Or (Eq (Or (Not (cP_1 (f a_2) a_4)) (Not (cP_1 (f a_3) a_5))) True) (Eq (cQ_2 a_1 a_4 a_5) True))) 20.46/20.66 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.46/20.66 Or (Eq (cQ_1 a a_1 a_2) False) 20.46/20.66 (Or (Eq (Or (Not (cP_1 (f a_1) a_3)) (Not (cP_1 (f a_2) a_4))) True) 20.46/20.66 (Or (Eq (cQ_2 a_5 a_3 a_4) True) (Eq (cP_1 (f a) a_5) False))) 20.46/20.66 Clause #33 (by clausification #[32]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.46/20.66 Or (Eq (cQ_1 a a_1 a_2) False) 20.46/20.66 (Or (Eq (cQ_2 a_3 a_4 a_5) True) 20.46/20.66 (Or (Eq (cP_1 (f a) a_3) False) (Or (Eq (Not (cP_1 (f a_1) a_4)) True) (Eq (Not (cP_1 (f a_2) a_5)) True)))) 20.46/20.66 Clause #34 (by clausification #[33]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.46/20.66 Or (Eq (cQ_1 a a_1 a_2) False) 20.46/20.66 (Or (Eq (cQ_2 a_3 a_4 a_5) True) 20.46/20.66 (Or (Eq (cP_1 (f a) a_3) False) (Or (Eq (Not (cP_1 (f a_2) a_5)) True) (Eq (cP_1 (f a_1) a_4) False)))) 20.46/20.66 Clause #35 (by clausification #[34]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.46/20.66 Or (Eq (cQ_1 a a_1 a_2) False) 20.46/20.66 (Or (Eq (cQ_2 a_3 a_4 a_5) True) 20.46/20.66 (Or (Eq (cP_1 (f a) a_3) False) (Or (Eq (cP_1 (f a_1) a_4) False) (Eq (cP_1 (f a_2) a_5) False)))) 20.46/20.66 Clause #46 (by clausification #[21]): Eq (cP_2 a a) True 20.46/20.66 Clause #47 (by clausification #[21]): Eq 20.46/20.66 (And 20.46/20.66 (And 20.46/20.66 (And 20.46/20.66 (And 20.46/20.66 (And 20.46/20.66 (And 20.46/20.66 (And 20.46/20.66 (And 20.46/20.66 (And 20.46/20.66 (And 20.46/20.66 (And 20.46/20.66 (And 20.46/20.66 (And 20.46/20.66 (And 20.46/20.66 (And 20.46/20.68 (And 20.46/20.68 (And (And (And (And (cQ_1 a b c) (cP_1 b b)) (cP_1 c c)) (∀ (Xx : Iota), cP_2 d Xx)) 20.46/20.68 (∀ (Xx Xy : Iota), Or (Not (cP_2 Xx Xy)) (cP_2 (f Xx) Xy))) 20.46/20.68 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.68 Or 20.46/20.68 (Or (Or (Or (Not (cP_2 (f Xx) Xu)) (Not (cP_2 (f Xy) Xv))) (cQ_3 Xu Xv Xw)) 20.46/20.68 (Not (cP_2 (f Xz) Xw))) 20.46/20.68 (Not (cQ_2 Xx Xy Xz)))) 20.46/20.68 (cP_3 b b)) 20.46/20.68 (cP_3 c c)) 20.46/20.68 (∀ (Xx : Iota), cP_3 d Xx)) 20.46/20.68 (∀ (Xx Xy : Iota), Or (cP_3 (f Xx) Xy) (Not (cP_3 Xx Xy)))) 20.46/20.68 (cP_4 a a)) 20.46/20.68 (cP_4 c c)) 20.46/20.68 (∀ (Xx Xy : Iota), Or (cP_4 (f Xx) Xy) (Not (cP_4 Xx Xy)))) 20.46/20.68 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.68 Or 20.46/20.68 (Or (Or (Or (Not (cP_4 (f Xx) Xu)) (Not (cP_4 (f Xy) Xv))) (cQ_5 Xu Xv Xw)) 20.46/20.68 (Not (cP_4 (f Xz) Xw))) 20.46/20.68 (Not (cQ_4 Xx Xy Xz)))) 20.46/20.68 (∀ (Xx Xy Xz : Iota), Not (cQ_5 Xx Xy Xz))) 20.46/20.68 (∀ (Xx : Iota), cP_4 d Xx)) 20.46/20.68 (cP_4 b b)) 20.46/20.68 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.68 Or (Or (Or (Or (Not (cP_3 (f Xy) Xv)) (Not (cP_3 (f Xz) Xw))) (cQ_4 Xu Xv Xw)) (Not (cP_3 (f Xx) Xu))) 20.46/20.68 (Not (cQ_3 Xx Xy Xz)))) 20.46/20.68 (cP_3 a a)) 20.46/20.68 (cP_2 c c)) 20.46/20.68 (cP_2 b b)) 20.46/20.68 True 20.46/20.68 Clause #58 (by clausification #[47]): Eq (cP_2 b b) True 20.46/20.68 Clause #59 (by clausification #[47]): Eq 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And (And (And (And (cQ_1 a b c) (cP_1 b b)) (cP_1 c c)) (∀ (Xx : Iota), cP_2 d Xx)) 20.46/20.68 (∀ (Xx Xy : Iota), Or (Not (cP_2 Xx Xy)) (cP_2 (f Xx) Xy))) 20.46/20.68 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.68 Or 20.46/20.68 (Or (Or (Or (Not (cP_2 (f Xx) Xu)) (Not (cP_2 (f Xy) Xv))) (cQ_3 Xu Xv Xw)) 20.46/20.68 (Not (cP_2 (f Xz) Xw))) 20.46/20.68 (Not (cQ_2 Xx Xy Xz)))) 20.46/20.68 (cP_3 b b)) 20.46/20.68 (cP_3 c c)) 20.46/20.68 (∀ (Xx : Iota), cP_3 d Xx)) 20.46/20.68 (∀ (Xx Xy : Iota), Or (cP_3 (f Xx) Xy) (Not (cP_3 Xx Xy)))) 20.46/20.68 (cP_4 a a)) 20.46/20.68 (cP_4 c c)) 20.46/20.68 (∀ (Xx Xy : Iota), Or (cP_4 (f Xx) Xy) (Not (cP_4 Xx Xy)))) 20.46/20.68 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.68 Or (Or (Or (Or (Not (cP_4 (f Xx) Xu)) (Not (cP_4 (f Xy) Xv))) (cQ_5 Xu Xv Xw)) (Not (cP_4 (f Xz) Xw))) 20.46/20.68 (Not (cQ_4 Xx Xy Xz)))) 20.46/20.68 (∀ (Xx Xy Xz : Iota), Not (cQ_5 Xx Xy Xz))) 20.46/20.68 (∀ (Xx : Iota), cP_4 d Xx)) 20.46/20.68 (cP_4 b b)) 20.46/20.68 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.68 Or (Or (Or (Or (Not (cP_3 (f Xy) Xv)) (Not (cP_3 (f Xz) Xw))) (cQ_4 Xu Xv Xw)) (Not (cP_3 (f Xx) Xu))) 20.46/20.68 (Not (cQ_3 Xx Xy Xz)))) 20.46/20.68 (cP_3 a a)) 20.46/20.68 (cP_2 c c)) 20.46/20.68 True 20.46/20.68 Clause #70 (by clausification #[59]): Eq (cP_2 c c) True 20.46/20.68 Clause #71 (by clausification #[59]): Eq 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And 20.46/20.68 (And (And (And (And (cQ_1 a b c) (cP_1 b b)) (cP_1 c c)) (∀ (Xx : Iota), cP_2 d Xx)) 20.46/20.68 (∀ (Xx Xy : Iota), Or (Not (cP_2 Xx Xy)) (cP_2 (f Xx) Xy))) 20.46/20.69 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.69 Or 20.46/20.69 (Or (Or (Or (Not (cP_2 (f Xx) Xu)) (Not (cP_2 (f Xy) Xv))) (cQ_3 Xu Xv Xw)) 20.46/20.69 (Not (cP_2 (f Xz) Xw))) 20.46/20.69 (Not (cQ_2 Xx Xy Xz)))) 20.46/20.69 (cP_3 b b)) 20.46/20.69 (cP_3 c c)) 20.46/20.69 (∀ (Xx : Iota), cP_3 d Xx)) 20.46/20.69 (∀ (Xx Xy : Iota), Or (cP_3 (f Xx) Xy) (Not (cP_3 Xx Xy)))) 20.46/20.69 (cP_4 a a)) 20.46/20.69 (cP_4 c c)) 20.46/20.69 (∀ (Xx Xy : Iota), Or (cP_4 (f Xx) Xy) (Not (cP_4 Xx Xy)))) 20.46/20.69 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.69 Or (Or (Or (Or (Not (cP_4 (f Xx) Xu)) (Not (cP_4 (f Xy) Xv))) (cQ_5 Xu Xv Xw)) (Not (cP_4 (f Xz) Xw))) 20.46/20.69 (Not (cQ_4 Xx Xy Xz)))) 20.46/20.69 (∀ (Xx Xy Xz : Iota), Not (cQ_5 Xx Xy Xz))) 20.46/20.69 (∀ (Xx : Iota), cP_4 d Xx)) 20.46/20.69 (cP_4 b b)) 20.46/20.69 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.69 Or (Or (Or (Or (Not (cP_3 (f Xy) Xv)) (Not (cP_3 (f Xz) Xw))) (cQ_4 Xu Xv Xw)) (Not (cP_3 (f Xx) Xu))) 20.46/20.69 (Not (cQ_3 Xx Xy Xz)))) 20.46/20.69 (cP_3 a a)) 20.46/20.69 True 20.46/20.69 Clause #82 (by clausification #[71]): Eq (cP_3 a a) True 20.46/20.69 Clause #83 (by clausification #[71]): Eq 20.46/20.69 (And 20.46/20.69 (And 20.46/20.69 (And 20.46/20.69 (And 20.46/20.69 (And 20.46/20.69 (And 20.46/20.69 (And 20.46/20.69 (And 20.46/20.69 (And 20.46/20.69 (And 20.46/20.69 (And 20.46/20.69 (And 20.46/20.69 (And 20.46/20.69 (And (And (And (And (cQ_1 a b c) (cP_1 b b)) (cP_1 c c)) (∀ (Xx : Iota), cP_2 d Xx)) 20.46/20.69 (∀ (Xx Xy : Iota), Or (Not (cP_2 Xx Xy)) (cP_2 (f Xx) Xy))) 20.46/20.69 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.69 Or 20.46/20.69 (Or (Or (Or (Not (cP_2 (f Xx) Xu)) (Not (cP_2 (f Xy) Xv))) (cQ_3 Xu Xv Xw)) 20.46/20.69 (Not (cP_2 (f Xz) Xw))) 20.46/20.69 (Not (cQ_2 Xx Xy Xz)))) 20.46/20.69 (cP_3 b b)) 20.46/20.69 (cP_3 c c)) 20.46/20.69 (∀ (Xx : Iota), cP_3 d Xx)) 20.46/20.69 (∀ (Xx Xy : Iota), Or (cP_3 (f Xx) Xy) (Not (cP_3 Xx Xy)))) 20.46/20.69 (cP_4 a a)) 20.46/20.69 (cP_4 c c)) 20.46/20.69 (∀ (Xx Xy : Iota), Or (cP_4 (f Xx) Xy) (Not (cP_4 Xx Xy)))) 20.46/20.69 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.69 Or (Or (Or (Or (Not (cP_4 (f Xx) Xu)) (Not (cP_4 (f Xy) Xv))) (cQ_5 Xu Xv Xw)) (Not (cP_4 (f Xz) Xw))) 20.46/20.69 (Not (cQ_4 Xx Xy Xz)))) 20.46/20.69 (∀ (Xx Xy Xz : Iota), Not (cQ_5 Xx Xy Xz))) 20.46/20.69 (∀ (Xx : Iota), cP_4 d Xx)) 20.46/20.69 (cP_4 b b)) 20.46/20.69 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.69 Or (Or (Or (Or (Not (cP_3 (f Xy) Xv)) (Not (cP_3 (f Xz) Xw))) (cQ_4 Xu Xv Xw)) (Not (cP_3 (f Xx) Xu))) 20.46/20.69 (Not (cQ_3 Xx Xy Xz)))) 20.46/20.69 True 20.46/20.69 Clause #94 (by clausification #[83]): Eq 20.46/20.69 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.69 Or (Or (Or (Or (Not (cP_3 (f Xy) Xv)) (Not (cP_3 (f Xz) Xw))) (cQ_4 Xu Xv Xw)) (Not (cP_3 (f Xx) Xu))) 20.46/20.69 (Not (cQ_3 Xx Xy Xz))) 20.46/20.69 True 20.46/20.69 Clause #95 (by clausification #[83]): Eq 20.46/20.69 (And 20.46/20.69 (And 20.46/20.69 (And 20.46/20.69 (And 20.46/20.69 (And 20.46/20.69 (And 20.46/20.69 (And 20.46/20.69 (And 20.46/20.69 (And 20.46/20.69 (And 20.46/20.69 (And 20.46/20.69 (And 20.46/20.69 (And (And (And (And (cQ_1 a b c) (cP_1 b b)) (cP_1 c c)) (∀ (Xx : Iota), cP_2 d Xx)) 20.46/20.69 (∀ (Xx Xy : Iota), Or (Not (cP_2 Xx Xy)) (cP_2 (f Xx) Xy))) 20.46/20.69 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.46/20.69 Or 20.46/20.69 (Or (Or (Or (Not (cP_2 (f Xx) Xu)) (Not (cP_2 (f Xy) Xv))) (cQ_3 Xu Xv Xw)) 20.46/20.69 (Not (cP_2 (f Xz) Xw))) 20.46/20.69 (Not (cQ_2 Xx Xy Xz)))) 20.46/20.69 (cP_3 b b)) 20.46/20.69 (cP_3 c c)) 20.46/20.69 (∀ (Xx : Iota), cP_3 d Xx)) 20.46/20.69 (∀ (Xx Xy : Iota), Or (cP_3 (f Xx) Xy) (Not (cP_3 Xx Xy)))) 20.55/20.72 (cP_4 a a)) 20.55/20.72 (cP_4 c c)) 20.55/20.72 (∀ (Xx Xy : Iota), Or (cP_4 (f Xx) Xy) (Not (cP_4 Xx Xy)))) 20.55/20.72 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.55/20.72 Or (Or (Or (Or (Not (cP_4 (f Xx) Xu)) (Not (cP_4 (f Xy) Xv))) (cQ_5 Xu Xv Xw)) (Not (cP_4 (f Xz) Xw))) 20.55/20.72 (Not (cQ_4 Xx Xy Xz)))) 20.55/20.72 (∀ (Xx Xy Xz : Iota), Not (cQ_5 Xx Xy Xz))) 20.55/20.72 (∀ (Xx : Iota), cP_4 d Xx)) 20.55/20.72 (cP_4 b b)) 20.55/20.72 True 20.55/20.72 Clause #96 (by clausification #[94]): ∀ (a : Iota), 20.55/20.72 Eq 20.55/20.72 (∀ (Xy Xz Xu Xv Xw : Iota), 20.55/20.72 Or (Or (Or (Or (Not (cP_3 (f Xy) Xv)) (Not (cP_3 (f Xz) Xw))) (cQ_4 Xu Xv Xw)) (Not (cP_3 (f a) Xu))) 20.55/20.72 (Not (cQ_3 a Xy Xz))) 20.55/20.72 True 20.55/20.72 Clause #97 (by clausification #[96]): ∀ (a a_1 : Iota), 20.55/20.72 Eq 20.55/20.72 (∀ (Xz Xu Xv Xw : Iota), 20.55/20.72 Or (Or (Or (Or (Not (cP_3 (f a) Xv)) (Not (cP_3 (f Xz) Xw))) (cQ_4 Xu Xv Xw)) (Not (cP_3 (f a_1) Xu))) 20.55/20.72 (Not (cQ_3 a_1 a Xz))) 20.55/20.72 True 20.55/20.72 Clause #98 (by clausification #[97]): ∀ (a a_1 a_2 : Iota), 20.55/20.72 Eq 20.55/20.72 (∀ (Xu Xv Xw : Iota), 20.55/20.72 Or (Or (Or (Or (Not (cP_3 (f a) Xv)) (Not (cP_3 (f a_1) Xw))) (cQ_4 Xu Xv Xw)) (Not (cP_3 (f a_2) Xu))) 20.55/20.72 (Not (cQ_3 a_2 a a_1))) 20.55/20.72 True 20.55/20.72 Clause #99 (by clausification #[98]): ∀ (a a_1 a_2 a_3 : Iota), 20.55/20.72 Eq 20.55/20.72 (∀ (Xv Xw : Iota), 20.55/20.72 Or (Or (Or (Or (Not (cP_3 (f a) Xv)) (Not (cP_3 (f a_1) Xw))) (cQ_4 a_2 Xv Xw)) (Not (cP_3 (f a_3) a_2))) 20.55/20.72 (Not (cQ_3 a_3 a a_1))) 20.55/20.72 True 20.55/20.72 Clause #100 (by clausification #[99]): ∀ (a a_1 a_2 a_3 a_4 : Iota), 20.55/20.72 Eq 20.55/20.72 (∀ (Xw : Iota), 20.55/20.72 Or (Or (Or (Or (Not (cP_3 (f a) a_1)) (Not (cP_3 (f a_2) Xw))) (cQ_4 a_3 a_1 Xw)) (Not (cP_3 (f a_4) a_3))) 20.55/20.72 (Not (cQ_3 a_4 a a_2))) 20.55/20.72 True 20.55/20.72 Clause #101 (by clausification #[100]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.55/20.72 Eq 20.55/20.72 (Or (Or (Or (Or (Not (cP_3 (f a) a_1)) (Not (cP_3 (f a_2) a_3))) (cQ_4 a_4 a_1 a_3)) (Not (cP_3 (f a_5) a_4))) 20.55/20.72 (Not (cQ_3 a_5 a a_2))) 20.55/20.72 True 20.55/20.72 Clause #102 (by clausification #[101]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.55/20.72 Or 20.55/20.72 (Eq (Or (Or (Or (Not (cP_3 (f a) a_1)) (Not (cP_3 (f a_2) a_3))) (cQ_4 a_4 a_1 a_3)) (Not (cP_3 (f a_5) a_4))) True) 20.55/20.72 (Eq (Not (cQ_3 a_5 a a_2)) True) 20.55/20.72 Clause #103 (by clausification #[102]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.55/20.72 Or (Eq (Not (cQ_3 a a_1 a_2)) True) 20.55/20.72 (Or (Eq (Or (Or (Not (cP_3 (f a_1) a_3)) (Not (cP_3 (f a_2) a_4))) (cQ_4 a_5 a_3 a_4)) True) 20.55/20.72 (Eq (Not (cP_3 (f a) a_5)) True)) 20.55/20.72 Clause #104 (by clausification #[103]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.55/20.72 Or (Eq (Or (Or (Not (cP_3 (f a) a_1)) (Not (cP_3 (f a_2) a_3))) (cQ_4 a_4 a_1 a_3)) True) 20.55/20.72 (Or (Eq (Not (cP_3 (f a_5) a_4)) True) (Eq (cQ_3 a_5 a a_2) False)) 20.55/20.72 Clause #105 (by clausification #[104]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.55/20.72 Or (Eq (Not (cP_3 (f a) a_1)) True) 20.55/20.72 (Or (Eq (cQ_3 a a_2 a_3) False) 20.55/20.72 (Or (Eq (Or (Not (cP_3 (f a_2) a_4)) (Not (cP_3 (f a_3) a_5))) True) (Eq (cQ_4 a_1 a_4 a_5) True))) 20.55/20.72 Clause #106 (by clausification #[105]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.55/20.72 Or (Eq (cQ_3 a a_1 a_2) False) 20.55/20.72 (Or (Eq (Or (Not (cP_3 (f a_1) a_3)) (Not (cP_3 (f a_2) a_4))) True) 20.55/20.72 (Or (Eq (cQ_4 a_5 a_3 a_4) True) (Eq (cP_3 (f a) a_5) False))) 20.55/20.72 Clause #107 (by clausification #[106]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.55/20.72 Or (Eq (cQ_3 a a_1 a_2) False) 20.55/20.72 (Or (Eq (cQ_4 a_3 a_4 a_5) True) 20.55/20.72 (Or (Eq (cP_3 (f a) a_3) False) (Or (Eq (Not (cP_3 (f a_1) a_4)) True) (Eq (Not (cP_3 (f a_2) a_5)) True)))) 20.55/20.72 Clause #108 (by clausification #[107]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.55/20.72 Or (Eq (cQ_3 a a_1 a_2) False) 20.55/20.72 (Or (Eq (cQ_4 a_3 a_4 a_5) True) 20.55/20.72 (Or (Eq (cP_3 (f a) a_3) False) (Or (Eq (Not (cP_3 (f a_2) a_5)) True) (Eq (cP_3 (f a_1) a_4) False)))) 20.55/20.72 Clause #109 (by clausification #[108]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.55/20.72 Or (Eq (cQ_3 a a_1 a_2) False) 20.55/20.72 (Or (Eq (cQ_4 a_3 a_4 a_5) True) 20.55/20.72 (Or (Eq (cP_3 (f a) a_3) False) (Or (Eq (cP_3 (f a_1) a_4) False) (Eq (cP_3 (f a_2) a_5) False)))) 20.55/20.72 Clause #120 (by clausification #[95]): Eq (cP_4 b b) True 20.55/20.72 Clause #121 (by clausification #[95]): Eq 20.55/20.72 (And 20.55/20.72 (And 20.55/20.72 (And 20.55/20.74 (And 20.55/20.74 (And 20.55/20.74 (And 20.55/20.74 (And 20.55/20.74 (And 20.55/20.74 (And 20.55/20.74 (And 20.55/20.74 (And 20.55/20.74 (And (And (And (And (cQ_1 a b c) (cP_1 b b)) (cP_1 c c)) (∀ (Xx : Iota), cP_2 d Xx)) 20.55/20.74 (∀ (Xx Xy : Iota), Or (Not (cP_2 Xx Xy)) (cP_2 (f Xx) Xy))) 20.55/20.74 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.55/20.74 Or 20.55/20.74 (Or (Or (Or (Not (cP_2 (f Xx) Xu)) (Not (cP_2 (f Xy) Xv))) (cQ_3 Xu Xv Xw)) 20.55/20.74 (Not (cP_2 (f Xz) Xw))) 20.55/20.74 (Not (cQ_2 Xx Xy Xz)))) 20.55/20.74 (cP_3 b b)) 20.55/20.74 (cP_3 c c)) 20.55/20.74 (∀ (Xx : Iota), cP_3 d Xx)) 20.55/20.74 (∀ (Xx Xy : Iota), Or (cP_3 (f Xx) Xy) (Not (cP_3 Xx Xy)))) 20.55/20.74 (cP_4 a a)) 20.55/20.74 (cP_4 c c)) 20.55/20.74 (∀ (Xx Xy : Iota), Or (cP_4 (f Xx) Xy) (Not (cP_4 Xx Xy)))) 20.55/20.74 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.55/20.74 Or (Or (Or (Or (Not (cP_4 (f Xx) Xu)) (Not (cP_4 (f Xy) Xv))) (cQ_5 Xu Xv Xw)) (Not (cP_4 (f Xz) Xw))) 20.55/20.74 (Not (cQ_4 Xx Xy Xz)))) 20.55/20.74 (∀ (Xx Xy Xz : Iota), Not (cQ_5 Xx Xy Xz))) 20.55/20.74 (∀ (Xx : Iota), cP_4 d Xx)) 20.55/20.74 True 20.55/20.74 Clause #133 (by clausification #[121]): Eq 20.55/20.74 (And 20.55/20.74 (And 20.55/20.74 (And 20.55/20.74 (And 20.55/20.74 (And 20.55/20.74 (And 20.55/20.74 (And 20.55/20.74 (And 20.55/20.74 (And 20.55/20.74 (And 20.55/20.74 (And (And (And (And (cQ_1 a b c) (cP_1 b b)) (cP_1 c c)) (∀ (Xx : Iota), cP_2 d Xx)) 20.55/20.74 (∀ (Xx Xy : Iota), Or (Not (cP_2 Xx Xy)) (cP_2 (f Xx) Xy))) 20.55/20.74 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.55/20.74 Or 20.55/20.74 (Or (Or (Or (Not (cP_2 (f Xx) Xu)) (Not (cP_2 (f Xy) Xv))) (cQ_3 Xu Xv Xw)) 20.55/20.74 (Not (cP_2 (f Xz) Xw))) 20.55/20.74 (Not (cQ_2 Xx Xy Xz)))) 20.55/20.74 (cP_3 b b)) 20.55/20.74 (cP_3 c c)) 20.55/20.74 (∀ (Xx : Iota), cP_3 d Xx)) 20.55/20.74 (∀ (Xx Xy : Iota), Or (cP_3 (f Xx) Xy) (Not (cP_3 Xx Xy)))) 20.55/20.74 (cP_4 a a)) 20.55/20.74 (cP_4 c c)) 20.55/20.74 (∀ (Xx Xy : Iota), Or (cP_4 (f Xx) Xy) (Not (cP_4 Xx Xy)))) 20.55/20.74 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.55/20.74 Or (Or (Or (Or (Not (cP_4 (f Xx) Xu)) (Not (cP_4 (f Xy) Xv))) (cQ_5 Xu Xv Xw)) (Not (cP_4 (f Xz) Xw))) 20.55/20.74 (Not (cQ_4 Xx Xy Xz)))) 20.55/20.74 (∀ (Xx Xy Xz : Iota), Not (cQ_5 Xx Xy Xz))) 20.55/20.74 True 20.55/20.74 Clause #145 (by clausification #[133]): Eq (∀ (Xx Xy Xz : Iota), Not (cQ_5 Xx Xy Xz)) True 20.55/20.74 Clause #146 (by clausification #[133]): Eq 20.55/20.74 (And 20.55/20.74 (And 20.55/20.74 (And 20.55/20.74 (And 20.55/20.74 (And 20.55/20.74 (And 20.55/20.74 (And 20.55/20.74 (And 20.55/20.74 (And 20.55/20.74 (And (And (And (And (cQ_1 a b c) (cP_1 b b)) (cP_1 c c)) (∀ (Xx : Iota), cP_2 d Xx)) 20.55/20.74 (∀ (Xx Xy : Iota), Or (Not (cP_2 Xx Xy)) (cP_2 (f Xx) Xy))) 20.55/20.74 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.55/20.74 Or 20.55/20.74 (Or (Or (Or (Not (cP_2 (f Xx) Xu)) (Not (cP_2 (f Xy) Xv))) (cQ_3 Xu Xv Xw)) 20.55/20.74 (Not (cP_2 (f Xz) Xw))) 20.55/20.74 (Not (cQ_2 Xx Xy Xz)))) 20.55/20.74 (cP_3 b b)) 20.55/20.74 (cP_3 c c)) 20.55/20.74 (∀ (Xx : Iota), cP_3 d Xx)) 20.55/20.74 (∀ (Xx Xy : Iota), Or (cP_3 (f Xx) Xy) (Not (cP_3 Xx Xy)))) 20.55/20.74 (cP_4 a a)) 20.55/20.74 (cP_4 c c)) 20.55/20.74 (∀ (Xx Xy : Iota), Or (cP_4 (f Xx) Xy) (Not (cP_4 Xx Xy)))) 20.55/20.74 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.55/20.74 Or (Or (Or (Or (Not (cP_4 (f Xx) Xu)) (Not (cP_4 (f Xy) Xv))) (cQ_5 Xu Xv Xw)) (Not (cP_4 (f Xz) Xw))) 20.55/20.74 (Not (cQ_4 Xx Xy Xz)))) 20.55/20.74 True 20.55/20.74 Clause #147 (by clausification #[145]): ∀ (a : Iota), Eq (∀ (Xy Xz : Iota), Not (cQ_5 a Xy Xz)) True 20.55/20.74 Clause #148 (by clausification #[147]): ∀ (a a_1 : Iota), Eq (∀ (Xz : Iota), Not (cQ_5 a a_1 Xz)) True 20.55/20.74 Clause #149 (by clausification #[148]): ∀ (a a_1 a_2 : Iota), Eq (Not (cQ_5 a a_1 a_2)) True 20.55/20.74 Clause #150 (by clausification #[149]): ∀ (a a_1 a_2 : Iota), Eq (cQ_5 a a_1 a_2) False 20.55/20.74 Clause #161 (by clausification #[146]): Eq 20.55/20.76 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.55/20.76 Or (Or (Or (Or (Not (cP_4 (f Xx) Xu)) (Not (cP_4 (f Xy) Xv))) (cQ_5 Xu Xv Xw)) (Not (cP_4 (f Xz) Xw))) 20.55/20.76 (Not (cQ_4 Xx Xy Xz))) 20.55/20.76 True 20.55/20.76 Clause #162 (by clausification #[146]): Eq 20.55/20.76 (And 20.55/20.76 (And 20.55/20.76 (And 20.55/20.76 (And 20.55/20.76 (And 20.55/20.76 (And 20.55/20.76 (And 20.55/20.76 (And 20.55/20.76 (And (And (And (And (cQ_1 a b c) (cP_1 b b)) (cP_1 c c)) (∀ (Xx : Iota), cP_2 d Xx)) 20.55/20.76 (∀ (Xx Xy : Iota), Or (Not (cP_2 Xx Xy)) (cP_2 (f Xx) Xy))) 20.55/20.76 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.55/20.76 Or 20.55/20.76 (Or (Or (Or (Not (cP_2 (f Xx) Xu)) (Not (cP_2 (f Xy) Xv))) (cQ_3 Xu Xv Xw)) 20.55/20.76 (Not (cP_2 (f Xz) Xw))) 20.55/20.76 (Not (cQ_2 Xx Xy Xz)))) 20.55/20.76 (cP_3 b b)) 20.55/20.76 (cP_3 c c)) 20.55/20.76 (∀ (Xx : Iota), cP_3 d Xx)) 20.55/20.76 (∀ (Xx Xy : Iota), Or (cP_3 (f Xx) Xy) (Not (cP_3 Xx Xy)))) 20.55/20.76 (cP_4 a a)) 20.55/20.76 (cP_4 c c)) 20.55/20.76 (∀ (Xx Xy : Iota), Or (cP_4 (f Xx) Xy) (Not (cP_4 Xx Xy)))) 20.55/20.76 True 20.55/20.76 Clause #163 (by clausification #[161]): ∀ (a : Iota), 20.55/20.76 Eq 20.55/20.76 (∀ (Xy Xz Xu Xv Xw : Iota), 20.55/20.76 Or (Or (Or (Or (Not (cP_4 (f a) Xu)) (Not (cP_4 (f Xy) Xv))) (cQ_5 Xu Xv Xw)) (Not (cP_4 (f Xz) Xw))) 20.55/20.76 (Not (cQ_4 a Xy Xz))) 20.55/20.76 True 20.55/20.76 Clause #164 (by clausification #[163]): ∀ (a a_1 : Iota), 20.55/20.76 Eq 20.55/20.76 (∀ (Xz Xu Xv Xw : Iota), 20.55/20.76 Or (Or (Or (Or (Not (cP_4 (f a) Xu)) (Not (cP_4 (f a_1) Xv))) (cQ_5 Xu Xv Xw)) (Not (cP_4 (f Xz) Xw))) 20.55/20.76 (Not (cQ_4 a a_1 Xz))) 20.55/20.76 True 20.55/20.76 Clause #165 (by clausification #[164]): ∀ (a a_1 a_2 : Iota), 20.55/20.76 Eq 20.55/20.76 (∀ (Xu Xv Xw : Iota), 20.55/20.76 Or (Or (Or (Or (Not (cP_4 (f a) Xu)) (Not (cP_4 (f a_1) Xv))) (cQ_5 Xu Xv Xw)) (Not (cP_4 (f a_2) Xw))) 20.55/20.76 (Not (cQ_4 a a_1 a_2))) 20.55/20.76 True 20.55/20.76 Clause #166 (by clausification #[165]): ∀ (a a_1 a_2 a_3 : Iota), 20.55/20.76 Eq 20.55/20.76 (∀ (Xv Xw : Iota), 20.55/20.76 Or (Or (Or (Or (Not (cP_4 (f a) a_1)) (Not (cP_4 (f a_2) Xv))) (cQ_5 a_1 Xv Xw)) (Not (cP_4 (f a_3) Xw))) 20.55/20.76 (Not (cQ_4 a a_2 a_3))) 20.55/20.76 True 20.55/20.76 Clause #167 (by clausification #[166]): ∀ (a a_1 a_2 a_3 a_4 : Iota), 20.55/20.76 Eq 20.55/20.76 (∀ (Xw : Iota), 20.55/20.76 Or (Or (Or (Or (Not (cP_4 (f a) a_1)) (Not (cP_4 (f a_2) a_3))) (cQ_5 a_1 a_3 Xw)) (Not (cP_4 (f a_4) Xw))) 20.55/20.76 (Not (cQ_4 a a_2 a_4))) 20.55/20.76 True 20.55/20.76 Clause #168 (by clausification #[167]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.55/20.76 Eq 20.55/20.76 (Or (Or (Or (Or (Not (cP_4 (f a) a_1)) (Not (cP_4 (f a_2) a_3))) (cQ_5 a_1 a_3 a_4)) (Not (cP_4 (f a_5) a_4))) 20.55/20.76 (Not (cQ_4 a a_2 a_5))) 20.55/20.76 True 20.55/20.76 Clause #169 (by clausification #[168]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.55/20.76 Or 20.55/20.76 (Eq (Or (Or (Or (Not (cP_4 (f a) a_1)) (Not (cP_4 (f a_2) a_3))) (cQ_5 a_1 a_3 a_4)) (Not (cP_4 (f a_5) a_4))) True) 20.55/20.76 (Eq (Not (cQ_4 a a_2 a_5)) True) 20.55/20.76 Clause #170 (by clausification #[169]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.55/20.76 Or (Eq (Not (cQ_4 a a_1 a_2)) True) 20.55/20.76 (Or (Eq (Or (Or (Not (cP_4 (f a) a_3)) (Not (cP_4 (f a_1) a_4))) (cQ_5 a_3 a_4 a_5)) True) 20.55/20.76 (Eq (Not (cP_4 (f a_2) a_5)) True)) 20.55/20.76 Clause #171 (by clausification #[170]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.55/20.76 Or (Eq (Or (Or (Not (cP_4 (f a) a_1)) (Not (cP_4 (f a_2) a_3))) (cQ_5 a_1 a_3 a_4)) True) 20.55/20.76 (Or (Eq (Not (cP_4 (f a_5) a_4)) True) (Eq (cQ_4 a a_2 a_5) False)) 20.55/20.76 Clause #172 (by clausification #[171]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.55/20.76 Or (Eq (Not (cP_4 (f a) a_1)) True) 20.55/20.76 (Or (Eq (cQ_4 a_2 a_3 a) False) 20.55/20.76 (Or (Eq (Or (Not (cP_4 (f a_2) a_4)) (Not (cP_4 (f a_3) a_5))) True) (Eq (cQ_5 a_4 a_5 a_1) True))) 20.55/20.76 Clause #173 (by clausification #[172]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.55/20.76 Or (Eq (cQ_4 a a_1 a_2) False) 20.55/20.76 (Or (Eq (Or (Not (cP_4 (f a) a_3)) (Not (cP_4 (f a_1) a_4))) True) 20.55/20.76 (Or (Eq (cQ_5 a_3 a_4 a_5) True) (Eq (cP_4 (f a_2) a_5) False))) 20.55/20.76 Clause #174 (by clausification #[173]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.55/20.76 Or (Eq (cQ_4 a a_1 a_2) False) 20.55/20.76 (Or (Eq (cQ_5 a_3 a_4 a_5) True) 20.55/20.76 (Or (Eq (cP_4 (f a_2) a_5) False) (Or (Eq (Not (cP_4 (f a) a_3)) True) (Eq (Not (cP_4 (f a_1) a_4)) True)))) 20.55/20.76 Clause #175 (by clausification #[174]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.55/20.78 Or (Eq (cQ_4 a a_1 a_2) False) 20.55/20.78 (Or (Eq (cQ_5 a_3 a_4 a_5) True) 20.55/20.78 (Or (Eq (cP_4 (f a_2) a_5) False) (Or (Eq (Not (cP_4 (f a_1) a_4)) True) (Eq (cP_4 (f a) a_3) False)))) 20.55/20.78 Clause #176 (by clausification #[175]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.55/20.78 Or (Eq (cQ_4 a a_1 a_2) False) 20.55/20.78 (Or (Eq (cQ_5 a_3 a_4 a_5) True) 20.55/20.78 (Or (Eq (cP_4 (f a_2) a_5) False) (Or (Eq (cP_4 (f a) a_3) False) (Eq (cP_4 (f a_1) a_4) False)))) 20.55/20.78 Clause #187 (by clausification #[162]): Eq (∀ (Xx Xy : Iota), Or (cP_4 (f Xx) Xy) (Not (cP_4 Xx Xy))) True 20.55/20.78 Clause #188 (by clausification #[162]): Eq 20.55/20.78 (And 20.55/20.78 (And 20.55/20.78 (And 20.55/20.78 (And 20.55/20.78 (And 20.55/20.78 (And 20.55/20.78 (And 20.55/20.78 (And (And (And (And (cQ_1 a b c) (cP_1 b b)) (cP_1 c c)) (∀ (Xx : Iota), cP_2 d Xx)) 20.55/20.78 (∀ (Xx Xy : Iota), Or (Not (cP_2 Xx Xy)) (cP_2 (f Xx) Xy))) 20.55/20.78 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.55/20.78 Or (Or (Or (Or (Not (cP_2 (f Xx) Xu)) (Not (cP_2 (f Xy) Xv))) (cQ_3 Xu Xv Xw)) (Not (cP_2 (f Xz) Xw))) 20.55/20.78 (Not (cQ_2 Xx Xy Xz)))) 20.55/20.78 (cP_3 b b)) 20.55/20.78 (cP_3 c c)) 20.55/20.78 (∀ (Xx : Iota), cP_3 d Xx)) 20.55/20.78 (∀ (Xx Xy : Iota), Or (cP_3 (f Xx) Xy) (Not (cP_3 Xx Xy)))) 20.55/20.78 (cP_4 a a)) 20.55/20.78 (cP_4 c c)) 20.55/20.78 True 20.55/20.78 Clause #189 (by clausification #[187]): ∀ (a : Iota), Eq (∀ (Xy : Iota), Or (cP_4 (f a) Xy) (Not (cP_4 a Xy))) True 20.55/20.78 Clause #190 (by clausification #[189]): ∀ (a a_1 : Iota), Eq (Or (cP_4 (f a) a_1) (Not (cP_4 a a_1))) True 20.55/20.78 Clause #191 (by clausification #[190]): ∀ (a a_1 : Iota), Or (Eq (cP_4 (f a) a_1) True) (Eq (Not (cP_4 a a_1)) True) 20.55/20.78 Clause #192 (by clausification #[191]): ∀ (a a_1 : Iota), Or (Eq (cP_4 (f a) a_1) True) (Eq (cP_4 a a_1) False) 20.55/20.78 Clause #193 (by superposition #[192, 120]): Or (Eq (cP_4 (f b) b) True) (Eq False True) 20.55/20.78 Clause #197 (by clausification #[193]): Eq (cP_4 (f b) b) True 20.55/20.78 Clause #229 (by clausification #[188]): Eq (cP_4 c c) True 20.55/20.78 Clause #230 (by clausification #[188]): Eq 20.55/20.78 (And 20.55/20.78 (And 20.55/20.78 (And 20.55/20.78 (And 20.55/20.78 (And 20.55/20.78 (And 20.55/20.78 (And (And (And (And (cQ_1 a b c) (cP_1 b b)) (cP_1 c c)) (∀ (Xx : Iota), cP_2 d Xx)) 20.55/20.78 (∀ (Xx Xy : Iota), Or (Not (cP_2 Xx Xy)) (cP_2 (f Xx) Xy))) 20.55/20.78 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.55/20.78 Or (Or (Or (Or (Not (cP_2 (f Xx) Xu)) (Not (cP_2 (f Xy) Xv))) (cQ_3 Xu Xv Xw)) (Not (cP_2 (f Xz) Xw))) 20.55/20.78 (Not (cQ_2 Xx Xy Xz)))) 20.55/20.78 (cP_3 b b)) 20.55/20.78 (cP_3 c c)) 20.55/20.78 (∀ (Xx : Iota), cP_3 d Xx)) 20.55/20.78 (∀ (Xx Xy : Iota), Or (cP_3 (f Xx) Xy) (Not (cP_3 Xx Xy)))) 20.55/20.78 (cP_4 a a)) 20.55/20.78 True 20.55/20.78 Clause #231 (by superposition #[229, 192]): Or (Eq (cP_4 (f c) c) True) (Eq True False) 20.55/20.78 Clause #232 (by clausification #[231]): Eq (cP_4 (f c) c) True 20.55/20.78 Clause #266 (by clausification #[230]): Eq (cP_4 a a) True 20.55/20.78 Clause #267 (by clausification #[230]): Eq 20.55/20.78 (And 20.55/20.78 (And 20.55/20.78 (And 20.55/20.78 (And 20.55/20.78 (And 20.55/20.78 (And (And (And (And (cQ_1 a b c) (cP_1 b b)) (cP_1 c c)) (∀ (Xx : Iota), cP_2 d Xx)) 20.55/20.78 (∀ (Xx Xy : Iota), Or (Not (cP_2 Xx Xy)) (cP_2 (f Xx) Xy))) 20.55/20.78 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.55/20.78 Or (Or (Or (Or (Not (cP_2 (f Xx) Xu)) (Not (cP_2 (f Xy) Xv))) (cQ_3 Xu Xv Xw)) (Not (cP_2 (f Xz) Xw))) 20.55/20.78 (Not (cQ_2 Xx Xy Xz)))) 20.55/20.78 (cP_3 b b)) 20.55/20.78 (cP_3 c c)) 20.55/20.78 (∀ (Xx : Iota), cP_3 d Xx)) 20.55/20.78 (∀ (Xx Xy : Iota), Or (cP_3 (f Xx) Xy) (Not (cP_3 Xx Xy)))) 20.55/20.78 True 20.55/20.78 Clause #268 (by superposition #[266, 192]): Or (Eq (cP_4 (f a) a) True) (Eq True False) 20.55/20.78 Clause #269 (by clausification #[268]): Eq (cP_4 (f a) a) True 20.55/20.78 Clause #303 (by clausification #[267]): Eq (∀ (Xx Xy : Iota), Or (cP_3 (f Xx) Xy) (Not (cP_3 Xx Xy))) True 20.55/20.78 Clause #304 (by clausification #[267]): Eq 20.55/20.78 (And 20.55/20.78 (And 20.55/20.78 (And 20.55/20.78 (And 20.55/20.78 (And (And (And (And (cQ_1 a b c) (cP_1 b b)) (cP_1 c c)) (∀ (Xx : Iota), cP_2 d Xx)) 20.55/20.78 (∀ (Xx Xy : Iota), Or (Not (cP_2 Xx Xy)) (cP_2 (f Xx) Xy))) 20.55/20.78 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.55/20.78 Or (Or (Or (Or (Not (cP_2 (f Xx) Xu)) (Not (cP_2 (f Xy) Xv))) (cQ_3 Xu Xv Xw)) (Not (cP_2 (f Xz) Xw))) 20.64/20.81 (Not (cQ_2 Xx Xy Xz)))) 20.64/20.81 (cP_3 b b)) 20.64/20.81 (cP_3 c c)) 20.64/20.81 (∀ (Xx : Iota), cP_3 d Xx)) 20.64/20.81 True 20.64/20.81 Clause #305 (by clausification #[303]): ∀ (a : Iota), Eq (∀ (Xy : Iota), Or (cP_3 (f a) Xy) (Not (cP_3 a Xy))) True 20.64/20.81 Clause #306 (by clausification #[305]): ∀ (a a_1 : Iota), Eq (Or (cP_3 (f a) a_1) (Not (cP_3 a a_1))) True 20.64/20.81 Clause #307 (by clausification #[306]): ∀ (a a_1 : Iota), Or (Eq (cP_3 (f a) a_1) True) (Eq (Not (cP_3 a a_1)) True) 20.64/20.81 Clause #308 (by clausification #[307]): ∀ (a a_1 : Iota), Or (Eq (cP_3 (f a) a_1) True) (Eq (cP_3 a a_1) False) 20.64/20.81 Clause #309 (by superposition #[308, 82]): Or (Eq (cP_3 (f a) a) True) (Eq False True) 20.64/20.81 Clause #310 (by clausification #[309]): Eq (cP_3 (f a) a) True 20.64/20.81 Clause #357 (by clausification #[304]): Eq 20.64/20.81 (And 20.64/20.81 (And 20.64/20.81 (And 20.64/20.81 (And (And (And (And (cQ_1 a b c) (cP_1 b b)) (cP_1 c c)) (∀ (Xx : Iota), cP_2 d Xx)) 20.64/20.81 (∀ (Xx Xy : Iota), Or (Not (cP_2 Xx Xy)) (cP_2 (f Xx) Xy))) 20.64/20.81 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.64/20.81 Or (Or (Or (Or (Not (cP_2 (f Xx) Xu)) (Not (cP_2 (f Xy) Xv))) (cQ_3 Xu Xv Xw)) (Not (cP_2 (f Xz) Xw))) 20.64/20.81 (Not (cQ_2 Xx Xy Xz)))) 20.64/20.81 (cP_3 b b)) 20.64/20.81 (cP_3 c c)) 20.64/20.81 True 20.64/20.81 Clause #418 (by clausification #[357]): Eq (cP_3 c c) True 20.64/20.81 Clause #419 (by clausification #[357]): Eq 20.64/20.81 (And 20.64/20.81 (And 20.64/20.81 (And (And (And (And (cQ_1 a b c) (cP_1 b b)) (cP_1 c c)) (∀ (Xx : Iota), cP_2 d Xx)) 20.64/20.81 (∀ (Xx Xy : Iota), Or (Not (cP_2 Xx Xy)) (cP_2 (f Xx) Xy))) 20.64/20.81 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.64/20.81 Or (Or (Or (Or (Not (cP_2 (f Xx) Xu)) (Not (cP_2 (f Xy) Xv))) (cQ_3 Xu Xv Xw)) (Not (cP_2 (f Xz) Xw))) 20.64/20.81 (Not (cQ_2 Xx Xy Xz)))) 20.64/20.81 (cP_3 b b)) 20.64/20.81 True 20.64/20.81 Clause #420 (by superposition #[418, 308]): Or (Eq (cP_3 (f c) c) True) (Eq True False) 20.64/20.81 Clause #421 (by clausification #[420]): Eq (cP_3 (f c) c) True 20.64/20.81 Clause #479 (by clausification #[419]): Eq (cP_3 b b) True 20.64/20.81 Clause #480 (by clausification #[419]): Eq 20.64/20.81 (And 20.64/20.81 (And (And (And (And (cQ_1 a b c) (cP_1 b b)) (cP_1 c c)) (∀ (Xx : Iota), cP_2 d Xx)) 20.64/20.81 (∀ (Xx Xy : Iota), Or (Not (cP_2 Xx Xy)) (cP_2 (f Xx) Xy))) 20.64/20.81 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.64/20.81 Or (Or (Or (Or (Not (cP_2 (f Xx) Xu)) (Not (cP_2 (f Xy) Xv))) (cQ_3 Xu Xv Xw)) (Not (cP_2 (f Xz) Xw))) 20.64/20.81 (Not (cQ_2 Xx Xy Xz)))) 20.64/20.81 True 20.64/20.81 Clause #481 (by superposition #[479, 308]): Or (Eq (cP_3 (f b) b) True) (Eq True False) 20.64/20.81 Clause #482 (by clausification #[481]): Eq (cP_3 (f b) b) True 20.64/20.81 Clause #552 (by clausification #[480]): Eq 20.64/20.81 (∀ (Xx Xy Xz Xu Xv Xw : Iota), 20.64/20.81 Or (Or (Or (Or (Not (cP_2 (f Xx) Xu)) (Not (cP_2 (f Xy) Xv))) (cQ_3 Xu Xv Xw)) (Not (cP_2 (f Xz) Xw))) 20.64/20.81 (Not (cQ_2 Xx Xy Xz))) 20.64/20.81 True 20.64/20.81 Clause #553 (by clausification #[480]): Eq 20.64/20.81 (And (And (And (And (cQ_1 a b c) (cP_1 b b)) (cP_1 c c)) (∀ (Xx : Iota), cP_2 d Xx)) 20.64/20.81 (∀ (Xx Xy : Iota), Or (Not (cP_2 Xx Xy)) (cP_2 (f Xx) Xy))) 20.64/20.81 True 20.64/20.81 Clause #554 (by clausification #[552]): ∀ (a : Iota), 20.64/20.81 Eq 20.64/20.81 (∀ (Xy Xz Xu Xv Xw : Iota), 20.64/20.81 Or (Or (Or (Or (Not (cP_2 (f a) Xu)) (Not (cP_2 (f Xy) Xv))) (cQ_3 Xu Xv Xw)) (Not (cP_2 (f Xz) Xw))) 20.64/20.81 (Not (cQ_2 a Xy Xz))) 20.64/20.81 True 20.64/20.81 Clause #555 (by clausification #[554]): ∀ (a a_1 : Iota), 20.64/20.81 Eq 20.64/20.81 (∀ (Xz Xu Xv Xw : Iota), 20.64/20.81 Or (Or (Or (Or (Not (cP_2 (f a) Xu)) (Not (cP_2 (f a_1) Xv))) (cQ_3 Xu Xv Xw)) (Not (cP_2 (f Xz) Xw))) 20.64/20.81 (Not (cQ_2 a a_1 Xz))) 20.64/20.81 True 20.64/20.81 Clause #556 (by clausification #[555]): ∀ (a a_1 a_2 : Iota), 20.64/20.81 Eq 20.64/20.81 (∀ (Xu Xv Xw : Iota), 20.64/20.81 Or (Or (Or (Or (Not (cP_2 (f a) Xu)) (Not (cP_2 (f a_1) Xv))) (cQ_3 Xu Xv Xw)) (Not (cP_2 (f a_2) Xw))) 20.64/20.81 (Not (cQ_2 a a_1 a_2))) 20.64/20.81 True 20.64/20.81 Clause #557 (by clausification #[556]): ∀ (a a_1 a_2 a_3 : Iota), 20.64/20.81 Eq 20.64/20.81 (∀ (Xv Xw : Iota), 20.64/20.81 Or (Or (Or (Or (Not (cP_2 (f a) a_1)) (Not (cP_2 (f a_2) Xv))) (cQ_3 a_1 Xv Xw)) (Not (cP_2 (f a_3) Xw))) 20.64/20.81 (Not (cQ_2 a a_2 a_3))) 20.64/20.81 True 20.64/20.81 Clause #558 (by clausification #[557]): ∀ (a a_1 a_2 a_3 a_4 : Iota), 20.64/20.81 Eq 20.64/20.81 (∀ (Xw : Iota), 20.64/20.81 Or (Or (Or (Or (Not (cP_2 (f a) a_1)) (Not (cP_2 (f a_2) a_3))) (cQ_3 a_1 a_3 Xw)) (Not (cP_2 (f a_4) Xw))) 20.64/20.83 (Not (cQ_2 a a_2 a_4))) 20.64/20.83 True 20.64/20.83 Clause #559 (by clausification #[558]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.64/20.83 Eq 20.64/20.83 (Or (Or (Or (Or (Not (cP_2 (f a) a_1)) (Not (cP_2 (f a_2) a_3))) (cQ_3 a_1 a_3 a_4)) (Not (cP_2 (f a_5) a_4))) 20.64/20.83 (Not (cQ_2 a a_2 a_5))) 20.64/20.83 True 20.64/20.83 Clause #560 (by clausification #[559]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.64/20.83 Or 20.64/20.83 (Eq (Or (Or (Or (Not (cP_2 (f a) a_1)) (Not (cP_2 (f a_2) a_3))) (cQ_3 a_1 a_3 a_4)) (Not (cP_2 (f a_5) a_4))) True) 20.64/20.83 (Eq (Not (cQ_2 a a_2 a_5)) True) 20.64/20.83 Clause #561 (by clausification #[560]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.64/20.83 Or (Eq (Not (cQ_2 a a_1 a_2)) True) 20.64/20.83 (Or (Eq (Or (Or (Not (cP_2 (f a) a_3)) (Not (cP_2 (f a_1) a_4))) (cQ_3 a_3 a_4 a_5)) True) 20.64/20.83 (Eq (Not (cP_2 (f a_2) a_5)) True)) 20.64/20.83 Clause #562 (by clausification #[561]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.64/20.83 Or (Eq (Or (Or (Not (cP_2 (f a) a_1)) (Not (cP_2 (f a_2) a_3))) (cQ_3 a_1 a_3 a_4)) True) 20.64/20.83 (Or (Eq (Not (cP_2 (f a_5) a_4)) True) (Eq (cQ_2 a a_2 a_5) False)) 20.64/20.83 Clause #563 (by clausification #[562]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.64/20.83 Or (Eq (Not (cP_2 (f a) a_1)) True) 20.64/20.83 (Or (Eq (cQ_2 a_2 a_3 a) False) 20.64/20.83 (Or (Eq (Or (Not (cP_2 (f a_2) a_4)) (Not (cP_2 (f a_3) a_5))) True) (Eq (cQ_3 a_4 a_5 a_1) True))) 20.64/20.83 Clause #564 (by clausification #[563]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.64/20.83 Or (Eq (cQ_2 a a_1 a_2) False) 20.64/20.83 (Or (Eq (Or (Not (cP_2 (f a) a_3)) (Not (cP_2 (f a_1) a_4))) True) 20.64/20.83 (Or (Eq (cQ_3 a_3 a_4 a_5) True) (Eq (cP_2 (f a_2) a_5) False))) 20.64/20.83 Clause #565 (by clausification #[564]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.64/20.83 Or (Eq (cQ_2 a a_1 a_2) False) 20.64/20.83 (Or (Eq (cQ_3 a_3 a_4 a_5) True) 20.64/20.83 (Or (Eq (cP_2 (f a_2) a_5) False) (Or (Eq (Not (cP_2 (f a) a_3)) True) (Eq (Not (cP_2 (f a_1) a_4)) True)))) 20.64/20.83 Clause #566 (by clausification #[565]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.64/20.83 Or (Eq (cQ_2 a a_1 a_2) False) 20.64/20.83 (Or (Eq (cQ_3 a_3 a_4 a_5) True) 20.64/20.83 (Or (Eq (cP_2 (f a_2) a_5) False) (Or (Eq (Not (cP_2 (f a_1) a_4)) True) (Eq (cP_2 (f a) a_3) False)))) 20.64/20.83 Clause #567 (by clausification #[566]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), 20.64/20.83 Or (Eq (cQ_2 a a_1 a_2) False) 20.64/20.83 (Or (Eq (cQ_3 a_3 a_4 a_5) True) 20.64/20.83 (Or (Eq (cP_2 (f a_2) a_5) False) (Or (Eq (cP_2 (f a) a_3) False) (Eq (cP_2 (f a_1) a_4) False)))) 20.64/20.83 Clause #602 (by clausification #[553]): Eq (∀ (Xx Xy : Iota), Or (Not (cP_2 Xx Xy)) (cP_2 (f Xx) Xy)) True 20.64/20.83 Clause #603 (by clausification #[553]): Eq (And (And (And (cQ_1 a b c) (cP_1 b b)) (cP_1 c c)) (∀ (Xx : Iota), cP_2 d Xx)) True 20.64/20.83 Clause #604 (by clausification #[602]): ∀ (a : Iota), Eq (∀ (Xy : Iota), Or (Not (cP_2 a Xy)) (cP_2 (f a) Xy)) True 20.64/20.83 Clause #605 (by clausification #[604]): ∀ (a a_1 : Iota), Eq (Or (Not (cP_2 a a_1)) (cP_2 (f a) a_1)) True 20.64/20.83 Clause #606 (by clausification #[605]): ∀ (a a_1 : Iota), Or (Eq (Not (cP_2 a a_1)) True) (Eq (cP_2 (f a) a_1) True) 20.64/20.83 Clause #607 (by clausification #[606]): ∀ (a a_1 : Iota), Or (Eq (cP_2 (f a) a_1) True) (Eq (cP_2 a a_1) False) 20.64/20.83 Clause #608 (by superposition #[607, 46]): Or (Eq (cP_2 (f a) a) True) (Eq False True) 20.64/20.83 Clause #609 (by superposition #[607, 58]): Or (Eq (cP_2 (f b) b) True) (Eq False True) 20.64/20.83 Clause #610 (by superposition #[607, 70]): Or (Eq (cP_2 (f c) c) True) (Eq False True) 20.64/20.83 Clause #611 (by clausification #[610]): Eq (cP_2 (f c) c) True 20.64/20.83 Clause #613 (by clausification #[609]): Eq (cP_2 (f b) b) True 20.64/20.83 Clause #615 (by clausification #[608]): Eq (cP_2 (f a) a) True 20.64/20.83 Clause #696 (by clausification #[603]): Eq (And (And (cQ_1 a b c) (cP_1 b b)) (cP_1 c c)) True 20.64/20.83 Clause #713 (by clausification #[696]): Eq (cP_1 c c) True 20.64/20.83 Clause #714 (by clausification #[696]): Eq (And (cQ_1 a b c) (cP_1 b b)) True 20.64/20.83 Clause #715 (by superposition #[713, 13]): Or (Eq (cP_1 (f c) c) True) (Eq True False) 20.64/20.83 Clause #716 (by clausification #[715]): Eq (cP_1 (f c) c) True 20.64/20.83 Clause #722 (by clausification #[714]): Eq (cP_1 b b) True 20.64/20.83 Clause #723 (by clausification #[714]): Eq (cQ_1 a b c) True 20.64/20.83 Clause #724 (by superposition #[722, 13]): Or (Eq (cP_1 (f b) b) True) (Eq True False) 20.64/20.83 Clause #725 (by superposition #[723, 35]): ∀ (a_1 a_2 a_3 : Iota), 20.64/20.85 Or (Eq True False) 20.64/20.85 (Or (Eq (cQ_2 a_1 a_2 a_3) True) 20.64/20.85 (Or (Eq (cP_1 (f a) a_1) False) (Or (Eq (cP_1 (f b) a_2) False) (Eq (cP_1 (f c) a_3) False)))) 20.64/20.85 Clause #726 (by clausification #[724]): Eq (cP_1 (f b) b) True 20.64/20.85 Clause #838 (by clausification #[725]): ∀ (a_1 a_2 a_3 : Iota), 20.64/20.85 Or (Eq (cQ_2 a_1 a_2 a_3) True) 20.64/20.85 (Or (Eq (cP_1 (f a) a_1) False) (Or (Eq (cP_1 (f b) a_2) False) (Eq (cP_1 (f c) a_3) False))) 20.64/20.85 Clause #839 (by superposition #[838, 18]): ∀ (a_1 a_2 : Iota), 20.64/20.85 Or (Eq (cQ_2 a a_1 a_2) True) (Or (Eq (cP_1 (f b) a_1) False) (Or (Eq (cP_1 (f c) a_2) False) (Eq False True))) 20.64/20.85 Clause #842 (by clausification #[839]): ∀ (a_1 a_2 : Iota), Or (Eq (cQ_2 a a_1 a_2) True) (Or (Eq (cP_1 (f b) a_1) False) (Eq (cP_1 (f c) a_2) False)) 20.64/20.85 Clause #843 (by superposition #[842, 726]): ∀ (a_1 : Iota), Or (Eq (cQ_2 a b a_1) True) (Or (Eq (cP_1 (f c) a_1) False) (Eq False True)) 20.64/20.85 Clause #844 (by clausification #[843]): ∀ (a_1 : Iota), Or (Eq (cQ_2 a b a_1) True) (Eq (cP_1 (f c) a_1) False) 20.64/20.85 Clause #845 (by superposition #[844, 716]): Or (Eq (cQ_2 a b c) True) (Eq False True) 20.64/20.85 Clause #846 (by clausification #[845]): Eq (cQ_2 a b c) True 20.64/20.85 Clause #847 (by superposition #[846, 567]): ∀ (a_1 a_2 a_3 : Iota), 20.64/20.85 Or (Eq True False) 20.64/20.85 (Or (Eq (cQ_3 a_1 a_2 a_3) True) 20.64/20.85 (Or (Eq (cP_2 (f c) a_3) False) (Or (Eq (cP_2 (f a) a_1) False) (Eq (cP_2 (f b) a_2) False)))) 20.64/20.85 Clause #848 (by clausification #[847]): ∀ (a_1 a_2 a_3 : Iota), 20.64/20.85 Or (Eq (cQ_3 a_1 a_2 a_3) True) 20.64/20.85 (Or (Eq (cP_2 (f c) a_3) False) (Or (Eq (cP_2 (f a) a_1) False) (Eq (cP_2 (f b) a_2) False))) 20.64/20.85 Clause #849 (by superposition #[848, 611]): ∀ (a_1 a_2 : Iota), 20.64/20.85 Or (Eq (cQ_3 a_1 a_2 c) True) (Or (Eq (cP_2 (f a) a_1) False) (Or (Eq (cP_2 (f b) a_2) False) (Eq False True))) 20.64/20.85 Clause #850 (by clausification #[849]): ∀ (a_1 a_2 : Iota), Or (Eq (cQ_3 a_1 a_2 c) True) (Or (Eq (cP_2 (f a) a_1) False) (Eq (cP_2 (f b) a_2) False)) 20.64/20.85 Clause #851 (by superposition #[850, 615]): ∀ (a_1 : Iota), Or (Eq (cQ_3 a a_1 c) True) (Or (Eq (cP_2 (f b) a_1) False) (Eq False True)) 20.64/20.85 Clause #854 (by clausification #[851]): ∀ (a_1 : Iota), Or (Eq (cQ_3 a a_1 c) True) (Eq (cP_2 (f b) a_1) False) 20.64/20.85 Clause #855 (by superposition #[854, 613]): Or (Eq (cQ_3 a b c) True) (Eq False True) 20.64/20.85 Clause #856 (by clausification #[855]): Eq (cQ_3 a b c) True 20.64/20.85 Clause #857 (by superposition #[856, 109]): ∀ (a_1 a_2 a_3 : Iota), 20.64/20.85 Or (Eq True False) 20.64/20.85 (Or (Eq (cQ_4 a_1 a_2 a_3) True) 20.64/20.85 (Or (Eq (cP_3 (f a) a_1) False) (Or (Eq (cP_3 (f b) a_2) False) (Eq (cP_3 (f c) a_3) False)))) 20.64/20.85 Clause #858 (by clausification #[857]): ∀ (a_1 a_2 a_3 : Iota), 20.64/20.85 Or (Eq (cQ_4 a_1 a_2 a_3) True) 20.64/20.85 (Or (Eq (cP_3 (f a) a_1) False) (Or (Eq (cP_3 (f b) a_2) False) (Eq (cP_3 (f c) a_3) False))) 20.64/20.85 Clause #859 (by superposition #[858, 310]): ∀ (a_1 a_2 : Iota), 20.64/20.85 Or (Eq (cQ_4 a a_1 a_2) True) (Or (Eq (cP_3 (f b) a_1) False) (Or (Eq (cP_3 (f c) a_2) False) (Eq False True))) 20.64/20.85 Clause #860 (by clausification #[859]): ∀ (a_1 a_2 : Iota), Or (Eq (cQ_4 a a_1 a_2) True) (Or (Eq (cP_3 (f b) a_1) False) (Eq (cP_3 (f c) a_2) False)) 20.64/20.85 Clause #861 (by superposition #[860, 482]): ∀ (a_1 : Iota), Or (Eq (cQ_4 a b a_1) True) (Or (Eq (cP_3 (f c) a_1) False) (Eq False True)) 20.64/20.85 Clause #862 (by clausification #[861]): ∀ (a_1 : Iota), Or (Eq (cQ_4 a b a_1) True) (Eq (cP_3 (f c) a_1) False) 20.64/20.85 Clause #863 (by superposition #[862, 421]): Or (Eq (cQ_4 a b c) True) (Eq False True) 20.64/20.85 Clause #866 (by clausification #[863]): Eq (cQ_4 a b c) True 20.64/20.85 Clause #867 (by superposition #[866, 176]): ∀ (a_1 a_2 a_3 : Iota), 20.64/20.85 Or (Eq True False) 20.64/20.85 (Or (Eq (cQ_5 a_1 a_2 a_3) True) 20.64/20.85 (Or (Eq (cP_4 (f c) a_3) False) (Or (Eq (cP_4 (f a) a_1) False) (Eq (cP_4 (f b) a_2) False)))) 20.64/20.85 Clause #868 (by clausification #[867]): ∀ (a_1 a_2 a_3 : Iota), 20.64/20.85 Or (Eq (cQ_5 a_1 a_2 a_3) True) 20.64/20.85 (Or (Eq (cP_4 (f c) a_3) False) (Or (Eq (cP_4 (f a) a_1) False) (Eq (cP_4 (f b) a_2) False))) 20.64/20.85 Clause #869 (by superposition #[868, 232]): ∀ (a_1 a_2 : Iota), 20.64/20.85 Or (Eq (cQ_5 a_1 a_2 c) True) (Or (Eq (cP_4 (f a) a_1) False) (Or (Eq (cP_4 (f b) a_2) False) (Eq False True))) 20.64/20.86 Clause #870 (by clausification #[869]): ∀ (a_1 a_2 : Iota), Or (Eq (cQ_5 a_1 a_2 c) True) (Or (Eq (cP_4 (f a) a_1) False) (Eq (cP_4 (f b) a_2) False)) 20.64/20.86 Clause #871 (by superposition #[870, 269]): ∀ (a_1 : Iota), Or (Eq (cQ_5 a a_1 c) True) (Or (Eq (cP_4 (f b) a_1) False) (Eq False True)) 20.64/20.86 Clause #872 (by clausification #[871]): ∀ (a_1 : Iota), Or (Eq (cQ_5 a a_1 c) True) (Eq (cP_4 (f b) a_1) False) 20.64/20.86 Clause #873 (by superposition #[872, 197]): Or (Eq (cQ_5 a b c) True) (Eq False True) 20.64/20.86 Clause #874 (by clausification #[873]): Eq (cQ_5 a b c) True 20.64/20.86 Clause #875 (by superposition #[874, 150]): Eq True False 20.64/20.86 Clause #878 (by clausification #[875]): False 20.64/20.86 SZS output end Proof for theBenchmark.p 20.64/20.86 EOF