%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEV191^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n010.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Oct 3 08:02:55 PM UTC 2025 % Result : Theorem 26.26s 26.44s % Output : Proof 27.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SEV191^5 : TPTP v9.2.0. Released v4.0.0. % 0.11/0.13 % Command : duper %s % 0.14/0.34 % Computer : n010.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Fri Oct 3 01:33:08 EDT 2025 % 0.14/0.34 % CPUTime : % 26.26/26.44 SZS status Theorem for theBenchmark.p % 26.26/26.44 SZS output start Proof for theBenchmark.p % 26.26/26.44 Clause #0 (by assumption #[]): Eq % 26.26/26.44 (Not % 26.26/26.44 (And ((a → a → a → Prop) → True → True) % 26.26/26.44 (∀ (R S : a → a → a → Prop), % 26.26/26.44 And (And True True) (∀ (Xa Xb Xc : a), R Xa Xb Xc → S Xa Xb Xc) → % 26.26/26.44 ∀ (Xa Xb Xc : a), % 26.26/26.44 Or (Or (And (Eq Xa c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq Xa Xc))) % 26.26/26.44 (Exists fun Xx1 => % 26.26/26.44 Exists fun Xx2 => % 26.26/26.44 Exists fun Xy1 => % 26.26/26.44 Exists fun Xy2 => % 26.26/26.44 Exists fun Xz1 => % 26.26/26.44 Exists fun Xz2 => % 26.26/26.44 And % 26.26/26.44 (And (And (And (Eq Xa (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) (Eq Xc (cP Xz1 Xz2))) % 26.26/26.44 (R Xx1 Xy1 Xz1)) % 26.26/26.44 (R Xx2 Xy2 Xz2)) → % 26.26/26.44 Or (Or (And (Eq Xa c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq Xa Xc))) % 26.26/26.44 (Exists fun Xx1 => % 26.26/26.44 Exists fun Xx2 => % 26.26/26.44 Exists fun Xy1 => % 26.26/26.44 Exists fun Xy2 => % 26.26/26.44 Exists fun Xz1 => % 26.26/26.44 Exists fun Xz2 => % 26.26/26.44 And % 26.26/26.44 (And (And (And (Eq Xa (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) (Eq Xc (cP Xz1 Xz2))) % 26.26/26.44 (S Xx1 Xy1 Xz1)) % 26.26/26.44 (S Xx2 Xy2 Xz2))))) % 26.26/26.44 True % 26.26/26.44 Clause #1 (by clausification #[0]): Eq % 26.26/26.44 (And ((a → a → a → Prop) → True → True) % 26.26/26.44 (∀ (R S : a → a → a → Prop), % 26.26/26.44 And (And True True) (∀ (Xa Xb Xc : a), R Xa Xb Xc → S Xa Xb Xc) → % 26.26/26.44 ∀ (Xa Xb Xc : a), % 26.26/26.44 Or (Or (And (Eq Xa c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq Xa Xc))) % 26.26/26.44 (Exists fun Xx1 => % 26.26/26.44 Exists fun Xx2 => % 26.26/26.44 Exists fun Xy1 => % 26.26/26.44 Exists fun Xy2 => % 26.26/26.44 Exists fun Xz1 => % 26.26/26.44 Exists fun Xz2 => % 26.26/26.44 And % 26.26/26.44 (And (And (And (Eq Xa (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) (Eq Xc (cP Xz1 Xz2))) % 26.26/26.44 (R Xx1 Xy1 Xz1)) % 26.26/26.44 (R Xx2 Xy2 Xz2)) → % 26.26/26.44 Or (Or (And (Eq Xa c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq Xa Xc))) % 26.26/26.44 (Exists fun Xx1 => % 26.26/26.44 Exists fun Xx2 => % 26.26/26.44 Exists fun Xy1 => % 26.26/26.44 Exists fun Xy2 => % 26.26/26.44 Exists fun Xz1 => % 26.26/26.44 Exists fun Xz2 => % 26.26/26.44 And % 26.26/26.44 (And (And (And (Eq Xa (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) (Eq Xc (cP Xz1 Xz2))) % 26.26/26.44 (S Xx1 Xy1 Xz1)) % 26.26/26.44 (S Xx2 Xy2 Xz2)))) % 26.26/26.44 False % 26.26/26.44 Clause #2 (by clausification #[1]): Or (Eq ((a → a → a → Prop) → True → True) False) % 26.26/26.44 (Eq % 26.26/26.44 (∀ (R S : a → a → a → Prop), % 26.26/26.44 And (And True True) (∀ (Xa Xb Xc : a), R Xa Xb Xc → S Xa Xb Xc) → % 26.26/26.44 ∀ (Xa Xb Xc : a), % 26.26/26.44 Or (Or (And (Eq Xa c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq Xa Xc))) % 26.26/26.44 (Exists fun Xx1 => % 26.26/26.44 Exists fun Xx2 => % 26.26/26.44 Exists fun Xy1 => % 26.26/26.44 Exists fun Xy2 => % 26.26/26.44 Exists fun Xz1 => % 26.26/26.44 Exists fun Xz2 => % 26.26/26.44 And % 26.26/26.44 (And (And (And (Eq Xa (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) (Eq Xc (cP Xz1 Xz2))) % 26.26/26.44 (R Xx1 Xy1 Xz1)) % 26.26/26.44 (R Xx2 Xy2 Xz2)) → % 26.26/26.44 Or (Or (And (Eq Xa c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq Xa Xc))) % 26.26/26.44 (Exists fun Xx1 => % 26.26/26.44 Exists fun Xx2 => % 26.26/26.44 Exists fun Xy1 => % 26.26/26.44 Exists fun Xy2 => % 26.26/26.44 Exists fun Xz1 => % 26.26/26.44 Exists fun Xz2 => % 26.26/26.44 And % 26.26/26.44 (And (And (And (Eq Xa (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) (Eq Xc (cP Xz1 Xz2))) % 26.26/26.44 (S Xx1 Xy1 Xz1)) % 26.26/26.44 (S Xx2 Xy2 Xz2))) % 26.26/26.44 False) % 26.26/26.44 Clause #3 (by clausification #[2]): (a → a → a → Prop) → % 26.26/26.45 Or % 26.26/26.45 (Eq % 26.26/26.45 (∀ (R S : a → a → a → Prop), % 26.26/26.45 And (And True True) (∀ (Xa Xb Xc : a), R Xa Xb Xc → S Xa Xb Xc) → % 26.26/26.45 ∀ (Xa Xb Xc : a), % 26.26/26.45 Or (Or (And (Eq Xa c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq Xa Xc))) % 26.26/26.45 (Exists fun Xx1 => % 26.26/26.45 Exists fun Xx2 => % 26.26/26.45 Exists fun Xy1 => % 26.26/26.45 Exists fun Xy2 => % 26.26/26.45 Exists fun Xz1 => % 26.26/26.45 Exists fun Xz2 => % 26.26/26.45 And % 26.26/26.45 (And (And (And (Eq Xa (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) (Eq Xc (cP Xz1 Xz2))) % 26.26/26.45 (R Xx1 Xy1 Xz1)) % 26.26/26.45 (R Xx2 Xy2 Xz2)) → % 26.26/26.45 Or (Or (And (Eq Xa c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq Xa Xc))) % 26.26/26.45 (Exists fun Xx1 => % 26.26/26.45 Exists fun Xx2 => % 26.26/26.45 Exists fun Xy1 => % 26.26/26.45 Exists fun Xy2 => % 26.26/26.45 Exists fun Xz1 => % 26.26/26.45 Exists fun Xz2 => % 26.26/26.45 And % 26.26/26.45 (And (And (And (Eq Xa (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) (Eq Xc (cP Xz1 Xz2))) % 26.26/26.45 (S Xx1 Xy1 Xz1)) % 26.26/26.45 (S Xx2 Xy2 Xz2))) % 26.26/26.45 False) % 26.26/26.45 (Eq (Not (True → True)) True) % 26.26/26.45 Clause #4 (by clausification #[3]): ∀ (a_1 : a → a → a → Prop), % 26.26/26.45 Or (Eq (Not (True → True)) True) % 26.26/26.45 (Eq % 26.26/26.45 (Not % 26.26/26.45 (∀ (S : a → a → a → Prop), % 26.26/26.45 And (And True True) (∀ (Xa Xb Xc : a), skS.0 1 a_1 Xa Xb Xc → S Xa Xb Xc) → % 26.26/26.45 ∀ (Xa Xb Xc : a), % 26.26/26.45 Or (Or (And (Eq Xa c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq Xa Xc))) % 26.26/26.45 (Exists fun Xx1 => % 26.26/26.45 Exists fun Xx2 => % 26.26/26.45 Exists fun Xy1 => % 26.26/26.45 Exists fun Xy2 => % 26.26/26.45 Exists fun Xz1 => % 26.26/26.45 Exists fun Xz2 => % 26.26/26.45 And % 26.26/26.45 (And (And (And (Eq Xa (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) (Eq Xc (cP Xz1 Xz2))) % 26.26/26.45 (skS.0 1 a_1 Xx1 Xy1 Xz1)) % 26.26/26.45 (skS.0 1 a_1 Xx2 Xy2 Xz2)) → % 26.26/26.45 Or (Or (And (Eq Xa c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq Xa Xc))) % 26.26/26.45 (Exists fun Xx1 => % 26.26/26.45 Exists fun Xx2 => % 26.26/26.45 Exists fun Xy1 => % 26.26/26.45 Exists fun Xy2 => % 26.26/26.45 Exists fun Xz1 => % 26.26/26.45 Exists fun Xz2 => % 26.26/26.45 And % 26.26/26.45 (And (And (And (Eq Xa (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) (Eq Xc (cP Xz1 Xz2))) % 26.26/26.45 (S Xx1 Xy1 Xz1)) % 26.26/26.45 (S Xx2 Xy2 Xz2)))) % 26.26/26.45 True) % 26.26/26.45 Clause #5 (by clausification #[4]): ∀ (a_1 : a → a → a → Prop), % 26.26/26.45 Or % 26.26/26.45 (Eq % 26.26/26.45 (Not % 26.26/26.45 (∀ (S : a → a → a → Prop), % 26.26/26.45 And (And True True) (∀ (Xa Xb Xc : a), skS.0 1 a_1 Xa Xb Xc → S Xa Xb Xc) → % 26.26/26.45 ∀ (Xa Xb Xc : a), % 26.26/26.45 Or (Or (And (Eq Xa c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq Xa Xc))) % 26.26/26.45 (Exists fun Xx1 => % 26.26/26.45 Exists fun Xx2 => % 26.26/26.45 Exists fun Xy1 => % 26.26/26.45 Exists fun Xy2 => % 26.26/26.45 Exists fun Xz1 => % 26.26/26.45 Exists fun Xz2 => % 26.26/26.45 And % 26.26/26.45 (And (And (And (Eq Xa (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) (Eq Xc (cP Xz1 Xz2))) % 26.26/26.45 (skS.0 1 a_1 Xx1 Xy1 Xz1)) % 26.26/26.45 (skS.0 1 a_1 Xx2 Xy2 Xz2)) → % 26.26/26.45 Or (Or (And (Eq Xa c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq Xa Xc))) % 26.26/26.45 (Exists fun Xx1 => % 26.26/26.45 Exists fun Xx2 => % 26.26/26.45 Exists fun Xy1 => % 26.26/26.45 Exists fun Xy2 => % 26.26/26.45 Exists fun Xz1 => % 26.26/26.45 Exists fun Xz2 => % 26.26/26.45 And % 26.26/26.45 (And (And (And (Eq Xa (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) (Eq Xc (cP Xz1 Xz2))) % 26.33/26.47 (S Xx1 Xy1 Xz1)) % 26.33/26.47 (S Xx2 Xy2 Xz2)))) % 26.33/26.47 True) % 26.33/26.47 (Eq (True → True) False) % 26.33/26.47 Clause #6 (by clausification #[5]): ∀ (a_1 : a → a → a → Prop), % 26.33/26.47 Or (Eq (True → True) False) % 26.33/26.47 (Eq % 26.33/26.47 (∀ (S : a → a → a → Prop), % 26.33/26.47 And (And True True) (∀ (Xa Xb Xc : a), skS.0 1 a_1 Xa Xb Xc → S Xa Xb Xc) → % 26.33/26.47 ∀ (Xa Xb Xc : a), % 26.33/26.47 Or (Or (And (Eq Xa c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq Xa Xc))) % 26.33/26.47 (Exists fun Xx1 => % 26.33/26.47 Exists fun Xx2 => % 26.33/26.47 Exists fun Xy1 => % 26.33/26.47 Exists fun Xy2 => % 26.33/26.47 Exists fun Xz1 => % 26.33/26.47 Exists fun Xz2 => % 26.33/26.47 And % 26.33/26.47 (And (And (And (Eq Xa (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) (Eq Xc (cP Xz1 Xz2))) % 26.33/26.47 (skS.0 1 a_1 Xx1 Xy1 Xz1)) % 26.33/26.47 (skS.0 1 a_1 Xx2 Xy2 Xz2)) → % 26.33/26.47 Or (Or (And (Eq Xa c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq Xa Xc))) % 26.33/26.47 (Exists fun Xx1 => % 26.33/26.47 Exists fun Xx2 => % 26.33/26.47 Exists fun Xy1 => % 26.33/26.47 Exists fun Xy2 => % 26.33/26.47 Exists fun Xz1 => % 26.33/26.47 Exists fun Xz2 => % 26.33/26.47 And % 26.33/26.47 (And (And (And (Eq Xa (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) (Eq Xc (cP Xz1 Xz2))) % 26.33/26.47 (S Xx1 Xy1 Xz1)) % 26.33/26.47 (S Xx2 Xy2 Xz2))) % 26.33/26.47 False) % 26.33/26.47 Clause #8 (by clausification #[6]): ∀ (a_1 : a → a → a → Prop), % 26.33/26.47 Or % 26.33/26.47 (Eq % 26.33/26.47 (∀ (S : a → a → a → Prop), % 26.33/26.47 And (And True True) (∀ (Xa Xb Xc : a), skS.0 1 a_1 Xa Xb Xc → S Xa Xb Xc) → % 26.33/26.47 ∀ (Xa Xb Xc : a), % 26.33/26.47 Or (Or (And (Eq Xa c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq Xa Xc))) % 26.33/26.47 (Exists fun Xx1 => % 26.33/26.47 Exists fun Xx2 => % 26.33/26.47 Exists fun Xy1 => % 26.33/26.47 Exists fun Xy2 => % 26.33/26.47 Exists fun Xz1 => % 26.33/26.47 Exists fun Xz2 => % 26.33/26.47 And % 26.33/26.47 (And (And (And (Eq Xa (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) (Eq Xc (cP Xz1 Xz2))) % 26.33/26.47 (skS.0 1 a_1 Xx1 Xy1 Xz1)) % 26.33/26.47 (skS.0 1 a_1 Xx2 Xy2 Xz2)) → % 26.33/26.47 Or (Or (And (Eq Xa c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq Xa Xc))) % 26.33/26.47 (Exists fun Xx1 => % 26.33/26.47 Exists fun Xx2 => % 26.33/26.47 Exists fun Xy1 => % 26.33/26.47 Exists fun Xy2 => % 26.33/26.47 Exists fun Xz1 => % 26.33/26.47 Exists fun Xz2 => % 26.33/26.47 And % 26.33/26.47 (And (And (And (Eq Xa (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) (Eq Xc (cP Xz1 Xz2))) % 26.33/26.47 (S Xx1 Xy1 Xz1)) % 26.33/26.47 (S Xx2 Xy2 Xz2))) % 26.33/26.47 False) % 26.33/26.47 (Eq True False) % 26.33/26.47 Clause #20 (by clausification #[8]): ∀ (a_1 a_2 : a → a → a → Prop), % 26.33/26.47 Or (Eq True False) % 26.33/26.47 (Eq % 26.33/26.47 (Not % 26.33/26.47 (And (And True True) (∀ (Xa Xb Xc : a), skS.0 1 a_1 Xa Xb Xc → skS.0 3 a_1 a_2 Xa Xb Xc) → % 26.33/26.47 ∀ (Xa Xb Xc : a), % 26.33/26.47 Or (Or (And (Eq Xa c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq Xa Xc))) % 26.33/26.47 (Exists fun Xx1 => % 26.33/26.47 Exists fun Xx2 => % 26.33/26.47 Exists fun Xy1 => % 26.33/26.47 Exists fun Xy2 => % 26.33/26.47 Exists fun Xz1 => % 26.33/26.47 Exists fun Xz2 => % 26.33/26.47 And % 26.33/26.47 (And (And (And (Eq Xa (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) (Eq Xc (cP Xz1 Xz2))) % 26.33/26.47 (skS.0 1 a_1 Xx1 Xy1 Xz1)) % 26.33/26.47 (skS.0 1 a_1 Xx2 Xy2 Xz2)) → % 26.33/26.47 Or (Or (And (Eq Xa c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq Xa Xc))) % 26.33/26.47 (Exists fun Xx1 => % 26.33/26.47 Exists fun Xx2 => % 26.33/26.47 Exists fun Xy1 => % 26.33/26.47 Exists fun Xy2 => % 26.33/26.47 Exists fun Xz1 => % 26.33/26.49 Exists fun Xz2 => % 26.33/26.49 And % 26.33/26.49 (And (And (And (Eq Xa (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) (Eq Xc (cP Xz1 Xz2))) % 26.33/26.49 (skS.0 3 a_1 a_2 Xx1 Xy1 Xz1)) % 26.33/26.49 (skS.0 3 a_1 a_2 Xx2 Xy2 Xz2)))) % 26.33/26.49 True) % 26.33/26.49 Clause #21 (by clausification #[20]): ∀ (a_1 a_2 : a → a → a → Prop), % 26.33/26.49 Eq % 26.33/26.49 (Not % 26.33/26.49 (And (And True True) (∀ (Xa Xb Xc : a), skS.0 1 a_1 Xa Xb Xc → skS.0 3 a_1 a_2 Xa Xb Xc) → % 26.33/26.49 ∀ (Xa Xb Xc : a), % 26.33/26.49 Or (Or (And (Eq Xa c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq Xa Xc))) % 26.33/26.49 (Exists fun Xx1 => % 26.33/26.49 Exists fun Xx2 => % 26.33/26.49 Exists fun Xy1 => % 26.33/26.49 Exists fun Xy2 => % 26.33/26.49 Exists fun Xz1 => % 26.33/26.49 Exists fun Xz2 => % 26.33/26.49 And % 26.33/26.49 (And (And (And (Eq Xa (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) (Eq Xc (cP Xz1 Xz2))) % 26.33/26.49 (skS.0 1 a_1 Xx1 Xy1 Xz1)) % 26.33/26.49 (skS.0 1 a_1 Xx2 Xy2 Xz2)) → % 26.33/26.49 Or (Or (And (Eq Xa c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq Xa Xc))) % 26.33/26.49 (Exists fun Xx1 => % 26.33/26.49 Exists fun Xx2 => % 26.33/26.49 Exists fun Xy1 => % 26.33/26.49 Exists fun Xy2 => % 26.33/26.49 Exists fun Xz1 => % 26.33/26.49 Exists fun Xz2 => % 26.33/26.49 And % 26.33/26.49 (And (And (And (Eq Xa (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) (Eq Xc (cP Xz1 Xz2))) % 26.33/26.49 (skS.0 3 a_1 a_2 Xx1 Xy1 Xz1)) % 26.33/26.49 (skS.0 3 a_1 a_2 Xx2 Xy2 Xz2)))) % 26.33/26.49 True % 26.33/26.49 Clause #22 (by clausification #[21]): ∀ (a_1 a_2 : a → a → a → Prop), % 26.33/26.49 Eq % 26.33/26.49 (And (And True True) (∀ (Xa Xb Xc : a), skS.0 1 a_1 Xa Xb Xc → skS.0 3 a_1 a_2 Xa Xb Xc) → % 26.33/26.49 ∀ (Xa Xb Xc : a), % 26.33/26.49 Or (Or (And (Eq Xa c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq Xa Xc))) % 26.33/26.49 (Exists fun Xx1 => % 26.33/26.49 Exists fun Xx2 => % 26.33/26.49 Exists fun Xy1 => % 26.33/26.49 Exists fun Xy2 => % 26.33/26.49 Exists fun Xz1 => % 26.33/26.49 Exists fun Xz2 => % 26.33/26.49 And % 26.33/26.49 (And (And (And (Eq Xa (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) (Eq Xc (cP Xz1 Xz2))) % 26.33/26.49 (skS.0 1 a_1 Xx1 Xy1 Xz1)) % 26.33/26.49 (skS.0 1 a_1 Xx2 Xy2 Xz2)) → % 26.33/26.49 Or (Or (And (Eq Xa c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq Xa Xc))) % 26.33/26.49 (Exists fun Xx1 => % 26.33/26.49 Exists fun Xx2 => % 26.33/26.49 Exists fun Xy1 => % 26.33/26.49 Exists fun Xy2 => % 26.33/26.49 Exists fun Xz1 => % 26.33/26.49 Exists fun Xz2 => % 26.33/26.49 And % 26.33/26.49 (And (And (And (Eq Xa (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) (Eq Xc (cP Xz1 Xz2))) % 26.33/26.49 (skS.0 3 a_1 a_2 Xx1 Xy1 Xz1)) % 26.33/26.49 (skS.0 3 a_1 a_2 Xx2 Xy2 Xz2))) % 26.33/26.49 False % 26.33/26.49 Clause #23 (by clausification #[22]): ∀ (a_1 a_2 : a → a → a → Prop), % 26.33/26.49 Eq (And (And True True) (∀ (Xa Xb Xc : a), skS.0 1 a_1 Xa Xb Xc → skS.0 3 a_1 a_2 Xa Xb Xc)) True % 26.33/26.49 Clause #24 (by clausification #[22]): ∀ (a_1 a_2 : a → a → a → Prop), % 26.33/26.49 Eq % 26.33/26.49 (∀ (Xa Xb Xc : a), % 26.33/26.49 Or (Or (And (Eq Xa c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq Xa Xc))) % 26.33/26.49 (Exists fun Xx1 => % 26.33/26.49 Exists fun Xx2 => % 26.33/26.49 Exists fun Xy1 => % 26.33/26.49 Exists fun Xy2 => % 26.33/26.49 Exists fun Xz1 => % 26.33/26.49 Exists fun Xz2 => % 26.33/26.49 And % 26.33/26.49 (And (And (And (Eq Xa (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) (Eq Xc (cP Xz1 Xz2))) % 26.33/26.49 (skS.0 1 a_1 Xx1 Xy1 Xz1)) % 26.33/26.49 (skS.0 1 a_1 Xx2 Xy2 Xz2)) → % 26.33/26.49 Or (Or (And (Eq Xa c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq Xa Xc))) % 26.33/26.49 (Exists fun Xx1 => % 26.33/26.49 Exists fun Xx2 => % 26.33/26.49 Exists fun Xy1 => % 26.33/26.49 Exists fun Xy2 => % 26.33/26.49 Exists fun Xz1 => % 26.33/26.49 Exists fun Xz2 => % 26.33/26.49 And % 26.33/26.49 (And (And (And (Eq Xa (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) (Eq Xc (cP Xz1 Xz2))) % 26.33/26.52 (skS.0 3 a_1 a_2 Xx1 Xy1 Xz1)) % 26.33/26.52 (skS.0 3 a_1 a_2 Xx2 Xy2 Xz2))) % 26.33/26.52 False % 26.33/26.52 Clause #25 (by clausification #[23]): ∀ (a_1 a_2 : a → a → a → Prop), Eq (∀ (Xa Xb Xc : a), skS.0 1 a_1 Xa Xb Xc → skS.0 3 a_1 a_2 Xa Xb Xc) True % 26.33/26.52 Clause #27 (by clausification #[25]): ∀ (a_1 : a → a → a → Prop) (a_2 : a) (a_3 : a → a → a → Prop), % 26.33/26.52 Eq (∀ (Xb Xc : a), skS.0 1 a_1 a_2 Xb Xc → skS.0 3 a_1 a_3 a_2 Xb Xc) True % 26.33/26.52 Clause #28 (by clausification #[27]): ∀ (a_1 : a → a → a → Prop) (a_2 a_3 : a) (a_4 : a → a → a → Prop), % 26.33/26.52 Eq (∀ (Xc : a), skS.0 1 a_1 a_2 a_3 Xc → skS.0 3 a_1 a_4 a_2 a_3 Xc) True % 26.33/26.52 Clause #29 (by clausification #[28]): ∀ (a_1 : a → a → a → Prop) (a_2 a_3 a_4 : a) (a_5 : a → a → a → Prop), % 26.33/26.52 Eq (skS.0 1 a_1 a_2 a_3 a_4 → skS.0 3 a_1 a_5 a_2 a_3 a_4) True % 26.33/26.52 Clause #30 (by clausification #[29]): ∀ (a_1 : a → a → a → Prop) (a_2 a_3 a_4 : a) (a_5 : a → a → a → Prop), % 26.33/26.52 Or (Eq (skS.0 1 a_1 a_2 a_3 a_4) False) (Eq (skS.0 3 a_1 a_5 a_2 a_3 a_4) True) % 26.33/26.52 Clause #32 (by clausification #[24]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 : a), % 26.33/26.52 Eq % 26.33/26.52 (Not % 26.33/26.52 (∀ (Xb Xc : a), % 26.33/26.52 Or (Or (And (Eq (skS.0 4 a_1 a_2 a_3) c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq (skS.0 4 a_1 a_2 a_3) Xc))) % 26.33/26.52 (Exists fun Xx1 => % 26.33/26.52 Exists fun Xx2 => % 26.33/26.52 Exists fun Xy1 => % 26.33/26.52 Exists fun Xy2 => % 26.33/26.52 Exists fun Xz1 => % 26.33/26.52 Exists fun Xz2 => % 26.33/26.52 And % 26.33/26.52 (And % 26.33/26.52 (And (And (Eq (skS.0 4 a_1 a_2 a_3) (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) % 26.33/26.52 (Eq Xc (cP Xz1 Xz2))) % 26.33/26.52 (skS.0 1 a_1 Xx1 Xy1 Xz1)) % 26.33/26.52 (skS.0 1 a_1 Xx2 Xy2 Xz2)) → % 26.33/26.52 Or (Or (And (Eq (skS.0 4 a_1 a_2 a_3) c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq (skS.0 4 a_1 a_2 a_3) Xc))) % 26.33/26.52 (Exists fun Xx1 => % 26.33/26.52 Exists fun Xx2 => % 26.33/26.52 Exists fun Xy1 => % 26.33/26.52 Exists fun Xy2 => % 26.33/26.52 Exists fun Xz1 => % 26.33/26.52 Exists fun Xz2 => % 26.33/26.52 And % 26.33/26.52 (And % 26.33/26.52 (And (And (Eq (skS.0 4 a_1 a_2 a_3) (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) % 26.33/26.52 (Eq Xc (cP Xz1 Xz2))) % 26.33/26.52 (skS.0 3 a_1 a_2 Xx1 Xy1 Xz1)) % 26.33/26.52 (skS.0 3 a_1 a_2 Xx2 Xy2 Xz2)))) % 26.33/26.52 True % 26.33/26.52 Clause #33 (by clausification #[32]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 : a), % 26.33/26.52 Eq % 26.33/26.52 (∀ (Xb Xc : a), % 26.33/26.52 Or (Or (And (Eq (skS.0 4 a_1 a_2 a_3) c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq (skS.0 4 a_1 a_2 a_3) Xc))) % 26.33/26.52 (Exists fun Xx1 => % 26.33/26.52 Exists fun Xx2 => % 26.33/26.52 Exists fun Xy1 => % 26.33/26.52 Exists fun Xy2 => % 26.33/26.52 Exists fun Xz1 => % 26.33/26.52 Exists fun Xz2 => % 26.33/26.52 And % 26.33/26.52 (And % 26.33/26.52 (And (And (Eq (skS.0 4 a_1 a_2 a_3) (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) (Eq Xc (cP Xz1 Xz2))) % 26.33/26.52 (skS.0 1 a_1 Xx1 Xy1 Xz1)) % 26.33/26.52 (skS.0 1 a_1 Xx2 Xy2 Xz2)) → % 26.33/26.52 Or (Or (And (Eq (skS.0 4 a_1 a_2 a_3) c0) (Eq Xb Xc)) (And (Eq Xb c0) (Eq (skS.0 4 a_1 a_2 a_3) Xc))) % 26.33/26.52 (Exists fun Xx1 => % 26.33/26.52 Exists fun Xx2 => % 26.33/26.52 Exists fun Xy1 => % 26.33/26.52 Exists fun Xy2 => % 26.33/26.52 Exists fun Xz1 => % 26.33/26.52 Exists fun Xz2 => % 26.33/26.52 And % 26.33/26.52 (And % 26.33/26.52 (And (And (Eq (skS.0 4 a_1 a_2 a_3) (cP Xx1 Xx2)) (Eq Xb (cP Xy1 Xy2))) (Eq Xc (cP Xz1 Xz2))) % 26.33/26.52 (skS.0 3 a_1 a_2 Xx1 Xy1 Xz1)) % 26.33/26.52 (skS.0 3 a_1 a_2 Xx2 Xy2 Xz2))) % 26.33/26.52 False % 26.33/26.52 Clause #34 (by clausification #[33]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a), % 26.33/26.52 Eq % 26.33/26.52 (Not % 26.33/26.52 (∀ (Xc : a), % 26.33/26.52 Or % 26.33/26.52 (Or (And (Eq (skS.0 4 a_1 a_2 a_3) c0) (Eq (skS.0 5 a_1 a_2 a_3 a_4) Xc)) % 26.33/26.54 (And (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) (Eq (skS.0 4 a_1 a_2 a_3) Xc))) % 26.33/26.54 (Exists fun Xx1 => % 26.33/26.54 Exists fun Xx2 => % 26.33/26.54 Exists fun Xy1 => % 26.33/26.54 Exists fun Xy2 => % 26.33/26.54 Exists fun Xz1 => % 26.33/26.54 Exists fun Xz2 => % 26.33/26.54 And % 26.33/26.54 (And % 26.33/26.54 (And % 26.33/26.54 (And (Eq (skS.0 4 a_1 a_2 a_3) (cP Xx1 Xx2)) (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.33/26.54 (Eq Xc (cP Xz1 Xz2))) % 26.33/26.54 (skS.0 1 a_1 Xx1 Xy1 Xz1)) % 26.33/26.54 (skS.0 1 a_1 Xx2 Xy2 Xz2)) → % 26.33/26.54 Or % 26.33/26.54 (Or (And (Eq (skS.0 4 a_1 a_2 a_3) c0) (Eq (skS.0 5 a_1 a_2 a_3 a_4) Xc)) % 26.33/26.54 (And (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) (Eq (skS.0 4 a_1 a_2 a_3) Xc))) % 26.33/26.54 (Exists fun Xx1 => % 26.33/26.54 Exists fun Xx2 => % 26.33/26.54 Exists fun Xy1 => % 26.33/26.54 Exists fun Xy2 => % 26.33/26.54 Exists fun Xz1 => % 26.33/26.54 Exists fun Xz2 => % 26.33/26.54 And % 26.33/26.54 (And % 26.33/26.54 (And % 26.33/26.54 (And (Eq (skS.0 4 a_1 a_2 a_3) (cP Xx1 Xx2)) (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.33/26.54 (Eq Xc (cP Xz1 Xz2))) % 26.33/26.54 (skS.0 3 a_1 a_2 Xx1 Xy1 Xz1)) % 26.33/26.54 (skS.0 3 a_1 a_2 Xx2 Xy2 Xz2)))) % 26.33/26.54 True % 26.33/26.54 Clause #35 (by clausification #[34]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a), % 26.33/26.54 Eq % 26.33/26.54 (∀ (Xc : a), % 26.33/26.54 Or % 26.33/26.54 (Or (And (Eq (skS.0 4 a_1 a_2 a_3) c0) (Eq (skS.0 5 a_1 a_2 a_3 a_4) Xc)) % 26.33/26.54 (And (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) (Eq (skS.0 4 a_1 a_2 a_3) Xc))) % 26.33/26.54 (Exists fun Xx1 => % 26.33/26.54 Exists fun Xx2 => % 26.33/26.54 Exists fun Xy1 => % 26.33/26.54 Exists fun Xy2 => % 26.33/26.54 Exists fun Xz1 => % 26.33/26.54 Exists fun Xz2 => % 26.33/26.54 And % 26.33/26.54 (And % 26.33/26.54 (And (And (Eq (skS.0 4 a_1 a_2 a_3) (cP Xx1 Xx2)) (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.33/26.54 (Eq Xc (cP Xz1 Xz2))) % 26.33/26.54 (skS.0 1 a_1 Xx1 Xy1 Xz1)) % 26.33/26.54 (skS.0 1 a_1 Xx2 Xy2 Xz2)) → % 26.33/26.54 Or % 26.33/26.54 (Or (And (Eq (skS.0 4 a_1 a_2 a_3) c0) (Eq (skS.0 5 a_1 a_2 a_3 a_4) Xc)) % 26.33/26.54 (And (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) (Eq (skS.0 4 a_1 a_2 a_3) Xc))) % 26.33/26.54 (Exists fun Xx1 => % 26.33/26.54 Exists fun Xx2 => % 26.33/26.54 Exists fun Xy1 => % 26.33/26.54 Exists fun Xy2 => % 26.33/26.54 Exists fun Xz1 => % 26.33/26.54 Exists fun Xz2 => % 26.33/26.54 And % 26.33/26.54 (And % 26.33/26.54 (And (And (Eq (skS.0 4 a_1 a_2 a_3) (cP Xx1 Xx2)) (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.33/26.54 (Eq Xc (cP Xz1 Xz2))) % 26.33/26.54 (skS.0 3 a_1 a_2 Xx1 Xy1 Xz1)) % 26.33/26.54 (skS.0 3 a_1 a_2 Xx2 Xy2 Xz2))) % 26.33/26.54 False % 26.33/26.54 Clause #36 (by clausification #[35]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a), % 26.33/26.54 Eq % 26.33/26.54 (Not % 26.33/26.54 (Or % 26.33/26.54 (Or (And (Eq (skS.0 4 a_1 a_2 a_3) c0) (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5))) % 26.33/26.54 (And (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)))) % 26.33/26.54 (Exists fun Xx1 => % 26.33/26.54 Exists fun Xx2 => % 26.33/26.54 Exists fun Xy1 => % 26.33/26.54 Exists fun Xy2 => % 26.33/26.54 Exists fun Xz1 => % 26.33/26.54 Exists fun Xz2 => % 26.33/26.54 And % 26.33/26.54 (And % 26.33/26.54 (And (And (Eq (skS.0 4 a_1 a_2 a_3) (cP Xx1 Xx2)) (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.33/26.54 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.33/26.54 (skS.0 1 a_1 Xx1 Xy1 Xz1)) % 26.33/26.54 (skS.0 1 a_1 Xx2 Xy2 Xz2)) → % 26.33/26.54 Or % 26.33/26.54 (Or (And (Eq (skS.0 4 a_1 a_2 a_3) c0) (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5))) % 26.33/26.54 (And (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)))) % 26.42/26.57 (Exists fun Xx1 => % 26.42/26.57 Exists fun Xx2 => % 26.42/26.57 Exists fun Xy1 => % 26.42/26.57 Exists fun Xy2 => % 26.42/26.57 Exists fun Xz1 => % 26.42/26.57 Exists fun Xz2 => % 26.42/26.57 And % 26.42/26.57 (And % 26.42/26.57 (And (And (Eq (skS.0 4 a_1 a_2 a_3) (cP Xx1 Xx2)) (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.42/26.57 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.42/26.57 (skS.0 3 a_1 a_2 Xx1 Xy1 Xz1)) % 26.42/26.57 (skS.0 3 a_1 a_2 Xx2 Xy2 Xz2)))) % 26.42/26.57 True % 26.42/26.57 Clause #37 (by clausification #[36]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a), % 26.42/26.57 Eq % 26.42/26.57 (Or % 26.42/26.57 (Or (And (Eq (skS.0 4 a_1 a_2 a_3) c0) (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5))) % 26.42/26.57 (And (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)))) % 26.42/26.57 (Exists fun Xx1 => % 26.42/26.57 Exists fun Xx2 => % 26.42/26.57 Exists fun Xy1 => % 26.42/26.57 Exists fun Xy2 => % 26.42/26.57 Exists fun Xz1 => % 26.42/26.57 Exists fun Xz2 => % 26.42/26.57 And % 26.42/26.57 (And % 26.42/26.57 (And (And (Eq (skS.0 4 a_1 a_2 a_3) (cP Xx1 Xx2)) (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.42/26.57 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.42/26.57 (skS.0 1 a_1 Xx1 Xy1 Xz1)) % 26.42/26.57 (skS.0 1 a_1 Xx2 Xy2 Xz2)) → % 26.42/26.57 Or % 26.42/26.57 (Or (And (Eq (skS.0 4 a_1 a_2 a_3) c0) (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5))) % 26.42/26.57 (And (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)))) % 26.42/26.57 (Exists fun Xx1 => % 26.42/26.57 Exists fun Xx2 => % 26.42/26.57 Exists fun Xy1 => % 26.42/26.57 Exists fun Xy2 => % 26.42/26.57 Exists fun Xz1 => % 26.42/26.57 Exists fun Xz2 => % 26.42/26.57 And % 26.42/26.57 (And % 26.42/26.57 (And (And (Eq (skS.0 4 a_1 a_2 a_3) (cP Xx1 Xx2)) (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.42/26.57 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.42/26.57 (skS.0 3 a_1 a_2 Xx1 Xy1 Xz1)) % 26.42/26.57 (skS.0 3 a_1 a_2 Xx2 Xy2 Xz2))) % 26.42/26.57 False % 26.42/26.57 Clause #38 (by clausification #[37]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a), % 26.42/26.57 Eq % 26.42/26.57 (Or % 26.42/26.57 (Or (And (Eq (skS.0 4 a_1 a_2 a_3) c0) (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5))) % 26.42/26.57 (And (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)))) % 26.42/26.57 (Exists fun Xx1 => % 26.42/26.57 Exists fun Xx2 => % 26.42/26.57 Exists fun Xy1 => % 26.42/26.57 Exists fun Xy2 => % 26.42/26.57 Exists fun Xz1 => % 26.42/26.57 Exists fun Xz2 => % 26.42/26.57 And % 26.42/26.57 (And % 26.42/26.57 (And (And (Eq (skS.0 4 a_1 a_2 a_3) (cP Xx1 Xx2)) (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.42/26.57 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.42/26.57 (skS.0 1 a_1 Xx1 Xy1 Xz1)) % 26.42/26.57 (skS.0 1 a_1 Xx2 Xy2 Xz2))) % 26.42/26.57 True % 26.42/26.57 Clause #39 (by clausification #[37]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a), % 26.42/26.57 Eq % 26.42/26.57 (Or % 26.42/26.57 (Or (And (Eq (skS.0 4 a_1 a_2 a_3) c0) (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5))) % 26.42/26.57 (And (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)))) % 26.42/26.57 (Exists fun Xx1 => % 26.42/26.57 Exists fun Xx2 => % 26.42/26.57 Exists fun Xy1 => % 26.42/26.57 Exists fun Xy2 => % 26.42/26.57 Exists fun Xz1 => % 26.42/26.57 Exists fun Xz2 => % 26.42/26.57 And % 26.42/26.57 (And % 26.42/26.57 (And (And (Eq (skS.0 4 a_1 a_2 a_3) (cP Xx1 Xx2)) (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.42/26.57 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.42/26.57 (skS.0 3 a_1 a_2 Xx1 Xy1 Xz1)) % 26.42/26.57 (skS.0 3 a_1 a_2 Xx2 Xy2 Xz2))) % 26.42/26.57 False % 26.42/26.57 Clause #40 (by clausification #[38]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a), % 26.42/26.57 Or % 26.42/26.57 (Eq % 26.42/26.57 (Or (And (Eq (skS.0 4 a_1 a_2 a_3) c0) (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5))) % 26.45/26.59 (And (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)))) % 26.45/26.59 True) % 26.45/26.59 (Eq % 26.45/26.59 (Exists fun Xx1 => % 26.45/26.59 Exists fun Xx2 => % 26.45/26.59 Exists fun Xy1 => % 26.45/26.59 Exists fun Xy2 => % 26.45/26.59 Exists fun Xz1 => % 26.45/26.59 Exists fun Xz2 => % 26.45/26.59 And % 26.45/26.59 (And % 26.45/26.59 (And (And (Eq (skS.0 4 a_1 a_2 a_3) (cP Xx1 Xx2)) (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.45/26.59 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.45/26.59 (skS.0 1 a_1 Xx1 Xy1 Xz1)) % 26.45/26.59 (skS.0 1 a_1 Xx2 Xy2 Xz2)) % 26.45/26.59 True) % 26.45/26.59 Clause #41 (by clausification #[40]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a), % 26.45/26.59 Or % 26.45/26.59 (Eq % 26.45/26.59 (Exists fun Xx1 => % 26.45/26.59 Exists fun Xx2 => % 26.45/26.59 Exists fun Xy1 => % 26.45/26.59 Exists fun Xy2 => % 26.45/26.59 Exists fun Xz1 => % 26.45/26.59 Exists fun Xz2 => % 26.45/26.59 And % 26.45/26.59 (And % 26.45/26.59 (And (And (Eq (skS.0 4 a_1 a_2 a_3) (cP Xx1 Xx2)) (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.45/26.59 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.45/26.59 (skS.0 1 a_1 Xx1 Xy1 Xz1)) % 26.45/26.59 (skS.0 1 a_1 Xx2 Xy2 Xz2)) % 26.45/26.59 True) % 26.45/26.59 (Or (Eq (And (Eq (skS.0 4 a_1 a_2 a_3) c0) (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5))) True) % 26.45/26.59 (Eq (And (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5))) True)) % 26.45/26.59 Clause #42 (by clausification #[41]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 : a), % 26.45/26.59 Or (Eq (And (Eq (skS.0 4 a_1 a_2 a_3) c0) (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5))) True) % 26.45/26.59 (Or (Eq (And (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5))) True) % 26.45/26.59 (Eq % 26.45/26.59 (Exists fun Xx2 => % 26.45/26.59 Exists fun Xy1 => % 26.45/26.59 Exists fun Xy2 => % 26.45/26.59 Exists fun Xz1 => % 26.45/26.59 Exists fun Xz2 => % 26.45/26.59 And % 26.45/26.59 (And % 26.45/26.59 (And % 26.45/26.59 (And (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) Xx2)) % 26.45/26.59 (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.45/26.59 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.45/26.59 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) Xy1 Xz1)) % 26.45/26.59 (skS.0 1 a_1 Xx2 Xy2 Xz2)) % 26.45/26.59 True)) % 26.45/26.59 Clause #43 (by clausification #[42]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 : a), % 26.45/26.59 Or (Eq (And (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5))) True) % 26.45/26.59 (Or % 26.45/26.59 (Eq % 26.45/26.59 (Exists fun Xx2 => % 26.45/26.59 Exists fun Xy1 => % 26.45/26.59 Exists fun Xy2 => % 26.45/26.59 Exists fun Xz1 => % 26.45/26.59 Exists fun Xz2 => % 26.45/26.59 And % 26.45/26.59 (And % 26.45/26.59 (And % 26.45/26.59 (And (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) Xx2)) % 26.45/26.59 (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.45/26.59 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.45/26.59 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) Xy1 Xz1)) % 26.45/26.59 (skS.0 1 a_1 Xx2 Xy2 Xz2)) % 26.45/26.59 True) % 26.45/26.59 (Eq (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) True)) % 26.45/26.59 Clause #44 (by clausification #[42]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 : a), % 26.45/26.59 Or (Eq (And (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5))) True) % 26.45/26.59 (Or % 26.45/26.59 (Eq % 26.45/26.59 (Exists fun Xx2 => % 26.45/26.59 Exists fun Xy1 => % 26.45/26.59 Exists fun Xy2 => % 26.45/26.59 Exists fun Xz1 => % 26.45/26.59 Exists fun Xz2 => % 26.45/26.59 And % 26.45/26.59 (And % 26.45/26.59 (And % 26.45/26.59 (And (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) Xx2)) % 26.45/26.59 (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.45/26.59 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.45/26.62 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) Xy1 Xz1)) % 26.45/26.62 (skS.0 1 a_1 Xx2 Xy2 Xz2)) % 26.45/26.62 True) % 26.45/26.62 (Eq (Eq (skS.0 4 a_1 a_2 a_3) c0) True)) % 26.45/26.62 Clause #45 (by clausification #[43]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 : a), % 26.45/26.62 Or % 26.45/26.62 (Eq % 26.45/26.62 (Exists fun Xx2 => % 26.45/26.62 Exists fun Xy1 => % 26.45/26.62 Exists fun Xy2 => % 26.45/26.62 Exists fun Xz1 => % 26.45/26.62 Exists fun Xz2 => % 26.45/26.62 And % 26.45/26.62 (And % 26.45/26.62 (And % 26.45/26.62 (And (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) Xx2)) % 26.45/26.62 (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.45/26.62 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.45/26.62 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) Xy1 Xz1)) % 26.45/26.62 (skS.0 1 a_1 Xx2 Xy2 Xz2)) % 26.45/26.62 True) % 26.45/26.62 (Or (Eq (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) True) % 26.45/26.62 (Eq (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) True)) % 26.45/26.62 Clause #46 (by clausification #[43]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 : a), % 26.45/26.62 Or % 26.45/26.62 (Eq % 26.45/26.62 (Exists fun Xx2 => % 26.45/26.62 Exists fun Xy1 => % 26.45/26.62 Exists fun Xy2 => % 26.45/26.62 Exists fun Xz1 => % 26.45/26.62 Exists fun Xz2 => % 26.45/26.62 And % 26.45/26.62 (And % 26.45/26.62 (And % 26.45/26.62 (And (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) Xx2)) % 26.45/26.62 (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.45/26.62 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.45/26.62 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) Xy1 Xz1)) % 26.45/26.62 (skS.0 1 a_1 Xx2 Xy2 Xz2)) % 26.45/26.62 True) % 26.45/26.62 (Or (Eq (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) True) % 26.45/26.62 (Eq (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) True)) % 26.45/26.62 Clause #47 (by clausification #[45]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 26.45/26.62 Or (Eq (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) True) % 26.45/26.62 (Or (Eq (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) True) % 26.45/26.62 (Eq % 26.45/26.62 (Exists fun Xy1 => % 26.45/26.62 Exists fun Xy2 => % 26.45/26.62 Exists fun Xz1 => % 26.45/26.62 Exists fun Xz2 => % 26.45/26.62 And % 26.45/26.62 (And % 26.45/26.62 (And % 26.45/26.62 (And % 26.45/26.62 (Eq (skS.0 4 a_1 a_2 a_3) % 26.45/26.62 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.45/26.62 (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.45/26.62 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.45/26.62 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) Xy1 Xz1)) % 26.45/26.62 (skS.0 1 a_1 (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7) Xy2 Xz2)) % 26.45/26.62 True)) % 26.45/26.62 Clause #48 (by clausification #[47]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 26.45/26.62 Or (Eq (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) True) % 26.45/26.62 (Or % 26.45/26.62 (Eq % 26.45/26.62 (Exists fun Xy1 => % 26.45/26.62 Exists fun Xy2 => % 26.45/26.62 Exists fun Xz1 => % 26.45/26.62 Exists fun Xz2 => % 26.45/26.62 And % 26.45/26.62 (And % 26.45/26.62 (And % 26.45/26.62 (And % 26.45/26.62 (Eq (skS.0 4 a_1 a_2 a_3) % 26.45/26.62 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.45/26.62 (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.45/26.62 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.45/26.62 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) Xy1 Xz1)) % 26.45/26.62 (skS.0 1 a_1 (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7) Xy2 Xz2)) % 26.45/26.62 True) % 26.45/26.62 (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5))) % 26.45/26.62 Clause #49 (by clausification #[48]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 26.45/26.62 Or % 26.45/26.62 (Eq % 26.45/26.62 (Exists fun Xy1 => % 26.45/26.62 Exists fun Xy2 => % 26.45/26.62 Exists fun Xz1 => % 26.45/26.62 Exists fun Xz2 => % 26.45/26.62 And % 26.45/26.62 (And % 26.45/26.62 (And % 26.45/26.62 (And % 26.48/26.64 (Eq (skS.0 4 a_1 a_2 a_3) % 26.48/26.64 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.48/26.64 (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.48/26.64 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.48/26.64 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) Xy1 Xz1)) % 26.48/26.64 (skS.0 1 a_1 (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7) Xy2 Xz2)) % 26.48/26.64 True) % 26.48/26.64 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.48/26.64 (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5))) % 26.48/26.64 Clause #50 (by clausification #[49]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 : a), % 26.48/26.64 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.48/26.64 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.48/26.64 (Eq % 26.48/26.64 (Exists fun Xy2 => % 26.48/26.64 Exists fun Xz1 => % 26.48/26.64 Exists fun Xz2 => % 26.48/26.64 And % 26.48/26.64 (And % 26.48/26.64 (And % 26.48/26.64 (And % 26.48/26.64 (Eq (skS.0 4 a_1 a_2 a_3) % 26.48/26.64 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.48/26.64 (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP (skS.0 9 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) Xy2))) % 26.48/26.64 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.48/26.64 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 9 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) Xz1)) % 26.48/26.64 (skS.0 1 a_1 (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7) Xy2 Xz2)) % 26.48/26.64 True)) % 26.48/26.64 Clause #51 (by clausification #[50]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 26.48/26.64 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.48/26.64 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.48/26.64 (Eq % 26.48/26.64 (Exists fun Xz1 => % 26.48/26.64 Exists fun Xz2 => % 26.48/26.64 And % 26.48/26.64 (And % 26.48/26.64 (And % 26.48/26.64 (And % 26.48/26.64 (Eq (skS.0 4 a_1 a_2 a_3) % 26.48/26.64 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.48/26.64 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.48/26.64 (cP (skS.0 9 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 10 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.48/26.64 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.48/26.64 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 9 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) Xz1)) % 26.48/26.64 (skS.0 1 a_1 (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 10 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) Xz2)) % 26.48/26.64 True)) % 26.48/26.64 Clause #52 (by clausification #[51]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : a), % 26.48/26.64 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.48/26.64 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.48/26.64 (Eq % 26.48/26.64 (Exists fun Xz2 => % 26.48/26.64 And % 26.48/26.64 (And % 26.48/26.64 (And % 26.48/26.64 (And % 26.48/26.64 (Eq (skS.0 4 a_1 a_2 a_3) % 26.48/26.64 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.48/26.64 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.48/26.64 (cP (skS.0 9 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 10 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.48/26.64 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP (skS.0 11 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) Xz2))) % 26.48/26.64 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 9 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 26.48/26.64 (skS.0 11 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 26.48/26.64 (skS.0 1 a_1 (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 10 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) Xz2)) % 26.48/26.64 True)) % 26.48/26.64 Clause #53 (by clausification #[52]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.48/26.64 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.48/26.64 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.48/26.64 (Eq % 26.48/26.64 (And % 26.48/26.64 (And % 26.48/26.64 (And % 26.48/26.64 (And % 26.48/26.64 (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.48/26.64 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.48/26.67 (cP (skS.0 9 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 10 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.48/26.67 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 26.48/26.67 (cP (skS.0 11 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) % 26.48/26.67 (skS.0 12 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)))) % 26.48/26.67 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 9 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 26.48/26.67 (skS.0 11 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 26.48/26.67 (skS.0 1 a_1 (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 10 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) % 26.48/26.67 (skS.0 12 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11))) % 26.48/26.67 True)) % 26.48/26.67 Clause #54 (by clausification #[53]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.48/26.67 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.48/26.67 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.48/26.67 (Eq % 26.48/26.67 (skS.0 1 a_1 (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 10 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) % 26.48/26.67 (skS.0 12 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)) % 26.48/26.67 True)) % 26.48/26.67 Clause #55 (by clausification #[53]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.48/26.67 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.48/26.67 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.48/26.67 (Eq % 26.48/26.67 (And % 26.48/26.67 (And % 26.48/26.67 (And (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.48/26.67 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.48/26.67 (cP (skS.0 9 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 10 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.48/26.67 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 26.48/26.67 (cP (skS.0 11 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) % 26.48/26.67 (skS.0 12 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)))) % 26.48/26.67 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 9 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 26.48/26.67 (skS.0 11 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 26.48/26.67 True)) % 26.48/26.67 Clause #56 (by superposition #[54, 30]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 a_12 : a), % 26.48/26.67 Or % 26.48/26.67 (Eq (skS.0 5 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_4) % 26.48/26.67 (skS.0 6 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_4 a_5)) % 26.48/26.67 (Or % 26.48/26.67 (Eq (skS.0 4 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3) (skS.0 6 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_4 a_5)) % 26.48/26.67 (Or (Eq True False) % 26.48/26.67 (Eq % 26.48/26.67 (skS.0 3 a_1 a_6 (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_7 a_8) (skS.0 10 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10) % 26.48/26.67 (skS.0 12 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10 a_11 a_12)) % 26.48/26.67 True))) % 26.48/26.67 Clause #81 (by betaEtaReduce #[56]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 a_12 : a), % 26.48/26.67 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.48/26.67 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.48/26.67 (Or (Eq True False) % 26.48/26.67 (Eq % 26.48/26.67 (skS.0 3 a_1 a_6 (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_7 a_8) (skS.0 10 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10) % 26.48/26.67 (skS.0 12 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10 a_11 a_12)) % 26.48/26.67 True))) % 26.48/26.67 Clause #82 (by clausification #[81]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 a_12 : a), % 26.48/26.67 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.48/26.67 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.48/26.67 (Eq % 26.48/26.67 (skS.0 3 a_1 a_6 (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_7 a_8) (skS.0 10 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10) % 26.48/26.67 (skS.0 12 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10 a_11 a_12)) % 26.48/26.67 True)) % 26.48/26.67 Clause #83 (by clausification #[46]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 26.48/26.67 Or (Eq (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) True) % 26.48/26.67 (Or (Eq (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) True) % 26.48/26.67 (Eq % 26.48/26.67 (Exists fun Xy1 => % 26.48/26.67 Exists fun Xy2 => % 26.48/26.67 Exists fun Xz1 => % 26.48/26.69 Exists fun Xz2 => % 26.48/26.69 And % 26.48/26.69 (And % 26.48/26.69 (And % 26.48/26.69 (And % 26.48/26.69 (Eq (skS.0 4 a_1 a_2 a_3) % 26.48/26.69 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 22 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.48/26.69 (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.48/26.69 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.48/26.69 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) Xy1 Xz1)) % 26.48/26.69 (skS.0 1 a_1 (skS.0 22 a_1 a_2 a_3 a_4 a_5 a_6 a_7) Xy2 Xz2)) % 26.48/26.69 True)) % 26.48/26.69 Clause #84 (by clausification #[83]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 26.48/26.69 Or (Eq (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) True) % 26.48/26.69 (Or % 26.48/26.69 (Eq % 26.48/26.69 (Exists fun Xy1 => % 26.48/26.69 Exists fun Xy2 => % 26.48/26.69 Exists fun Xz1 => % 26.48/26.69 Exists fun Xz2 => % 26.48/26.69 And % 26.48/26.69 (And % 26.48/26.69 (And % 26.48/26.69 (And % 26.48/26.69 (Eq (skS.0 4 a_1 a_2 a_3) % 26.48/26.69 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 22 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.48/26.69 (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.48/26.69 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.48/26.69 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) Xy1 Xz1)) % 26.48/26.69 (skS.0 1 a_1 (skS.0 22 a_1 a_2 a_3 a_4 a_5 a_6 a_7) Xy2 Xz2)) % 26.48/26.69 True) % 26.48/26.69 (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5))) % 26.48/26.69 Clause #85 (by clausification #[84]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 26.48/26.69 Or % 26.48/26.69 (Eq % 26.48/26.69 (Exists fun Xy1 => % 26.48/26.69 Exists fun Xy2 => % 26.48/26.69 Exists fun Xz1 => % 26.48/26.69 Exists fun Xz2 => % 26.48/26.69 And % 26.48/26.69 (And % 26.48/26.69 (And % 26.48/26.69 (And % 26.48/26.69 (Eq (skS.0 4 a_1 a_2 a_3) % 26.48/26.69 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 22 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.48/26.69 (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.48/26.69 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.48/26.69 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) Xy1 Xz1)) % 26.48/26.69 (skS.0 1 a_1 (skS.0 22 a_1 a_2 a_3 a_4 a_5 a_6 a_7) Xy2 Xz2)) % 26.48/26.69 True) % 26.48/26.69 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0)) % 26.48/26.69 Clause #86 (by clausification #[85]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 : a), % 26.48/26.69 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.48/26.69 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.48/26.69 (Eq % 26.48/26.69 (Exists fun Xy2 => % 26.48/26.69 Exists fun Xz1 => % 26.48/26.69 Exists fun Xz2 => % 26.48/26.69 And % 26.48/26.69 (And % 26.48/26.69 (And % 26.48/26.69 (And % 26.48/26.69 (Eq (skS.0 4 a_1 a_2 a_3) % 26.48/26.69 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 22 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.48/26.69 (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP (skS.0 23 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) Xy2))) % 26.48/26.69 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.48/26.69 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 23 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) Xz1)) % 26.48/26.69 (skS.0 1 a_1 (skS.0 22 a_1 a_2 a_3 a_4 a_5 a_6 a_7) Xy2 Xz2)) % 26.48/26.69 True)) % 26.48/26.69 Clause #87 (by clausification #[86]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 26.48/26.69 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.48/26.69 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.48/26.69 (Eq % 26.48/26.69 (Exists fun Xz1 => % 26.48/26.69 Exists fun Xz2 => % 26.48/26.69 And % 26.48/26.69 (And % 26.48/26.69 (And % 26.48/26.69 (And % 26.48/26.69 (Eq (skS.0 4 a_1 a_2 a_3) % 26.48/26.69 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 22 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.48/26.69 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.48/26.69 (cP (skS.0 23 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 24 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.48/26.69 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.48/26.69 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 23 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) Xz1)) % 26.56/26.71 (skS.0 1 a_1 (skS.0 22 a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 24 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) Xz2)) % 26.56/26.71 True)) % 26.56/26.71 Clause #88 (by clausification #[87]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : a), % 26.56/26.71 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.56/26.71 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.56/26.71 (Eq % 26.56/26.71 (Exists fun Xz2 => % 26.56/26.71 And % 26.56/26.71 (And % 26.56/26.71 (And % 26.56/26.71 (And % 26.56/26.71 (Eq (skS.0 4 a_1 a_2 a_3) % 26.56/26.71 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 22 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.56/26.71 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.56/26.71 (cP (skS.0 23 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 24 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.56/26.71 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP (skS.0 25 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) Xz2))) % 26.56/26.71 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 23 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 26.56/26.71 (skS.0 25 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 26.56/26.71 (skS.0 1 a_1 (skS.0 22 a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 24 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) Xz2)) % 26.56/26.71 True)) % 26.56/26.71 Clause #89 (by clausification #[88]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.56/26.71 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.56/26.71 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.56/26.71 (Eq % 26.56/26.71 (And % 26.56/26.71 (And % 26.56/26.71 (And % 26.56/26.71 (And % 26.56/26.71 (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 22 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.56/26.71 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.56/26.71 (cP (skS.0 23 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 24 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.56/26.71 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 26.56/26.71 (cP (skS.0 25 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) % 26.56/26.71 (skS.0 26 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)))) % 26.56/26.71 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 23 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 26.56/26.71 (skS.0 25 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 26.56/26.71 (skS.0 1 a_1 (skS.0 22 a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 24 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) % 26.56/26.71 (skS.0 26 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11))) % 26.56/26.71 True)) % 26.56/26.71 Clause #90 (by clausification #[89]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.56/26.71 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.56/26.71 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.56/26.71 (Eq % 26.56/26.71 (skS.0 1 a_1 (skS.0 22 a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 24 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) % 26.56/26.71 (skS.0 26 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)) % 26.56/26.71 True)) % 26.56/26.71 Clause #91 (by clausification #[89]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.56/26.71 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.56/26.71 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.56/26.71 (Eq % 26.56/26.71 (And % 26.56/26.71 (And % 26.56/26.71 (And % 26.56/26.71 (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 22 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.56/26.71 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.56/26.71 (cP (skS.0 23 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 24 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.56/26.71 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 26.56/26.71 (cP (skS.0 25 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) % 26.56/26.71 (skS.0 26 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)))) % 26.56/26.71 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 23 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 26.56/26.71 (skS.0 25 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 26.56/26.71 True)) % 26.56/26.71 Clause #92 (by superposition #[90, 30]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 a_12 : a), % 26.56/26.71 Or % 26.56/26.71 (Eq (skS.0 5 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_4) % 26.56/26.71 (skS.0 6 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_4 a_5)) % 26.56/26.74 (Or (Eq (skS.0 5 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_4) c0) % 26.56/26.74 (Or (Eq True False) % 26.56/26.74 (Eq % 26.56/26.74 (skS.0 3 a_1 a_6 (skS.0 22 a_1 a_2 a_3 a_4 a_5 a_7 a_8) (skS.0 24 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10) % 26.56/26.74 (skS.0 26 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10 a_11 a_12)) % 26.56/26.74 True))) % 26.56/26.74 Clause #93 (by betaEtaReduce #[92]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 a_12 : a), % 26.56/26.74 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.56/26.74 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.56/26.74 (Or (Eq True False) % 26.56/26.74 (Eq % 26.56/26.74 (skS.0 3 a_1 a_6 (skS.0 22 a_1 a_2 a_3 a_4 a_5 a_7 a_8) (skS.0 24 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10) % 26.56/26.74 (skS.0 26 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10 a_11 a_12)) % 26.56/26.74 True))) % 26.56/26.74 Clause #94 (by clausification #[93]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 a_12 : a), % 26.56/26.74 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.56/26.74 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.56/26.74 (Eq % 26.56/26.74 (skS.0 3 a_1 a_6 (skS.0 22 a_1 a_2 a_3 a_4 a_5 a_7 a_8) (skS.0 24 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10) % 26.56/26.74 (skS.0 26 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10 a_11 a_12)) % 26.56/26.74 True)) % 26.56/26.74 Clause #104 (by clausification #[44]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 : a), % 26.56/26.74 Or % 26.56/26.74 (Eq % 26.56/26.74 (Exists fun Xx2 => % 26.56/26.74 Exists fun Xy1 => % 26.56/26.74 Exists fun Xy2 => % 26.56/26.74 Exists fun Xz1 => % 26.56/26.74 Exists fun Xz2 => % 26.56/26.74 And % 26.56/26.74 (And % 26.56/26.74 (And % 26.56/26.74 (And (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) Xx2)) % 26.56/26.74 (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.56/26.74 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.56/26.74 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) Xy1 Xz1)) % 26.56/26.74 (skS.0 1 a_1 Xx2 Xy2 Xz2)) % 26.56/26.74 True) % 26.56/26.74 (Or (Eq (Eq (skS.0 4 a_1 a_2 a_3) c0) True) (Eq (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) True)) % 26.56/26.74 Clause #105 (by clausification #[44]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 : a), % 26.56/26.74 Or % 26.56/26.74 (Eq % 26.56/26.74 (Exists fun Xx2 => % 26.56/26.74 Exists fun Xy1 => % 26.56/26.74 Exists fun Xy2 => % 26.56/26.74 Exists fun Xz1 => % 26.56/26.74 Exists fun Xz2 => % 26.56/26.74 And % 26.56/26.74 (And % 26.56/26.74 (And % 26.56/26.74 (And (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) Xx2)) % 26.56/26.74 (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.56/26.74 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.56/26.74 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) Xy1 Xz1)) % 26.56/26.74 (skS.0 1 a_1 Xx2 Xy2 Xz2)) % 26.56/26.74 True) % 26.56/26.74 (Or (Eq (Eq (skS.0 4 a_1 a_2 a_3) c0) True) (Eq (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) True)) % 26.56/26.74 Clause #106 (by clausification #[104]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 26.56/26.74 Or (Eq (Eq (skS.0 4 a_1 a_2 a_3) c0) True) % 26.56/26.74 (Or (Eq (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) True) % 26.56/26.74 (Eq % 26.56/26.74 (Exists fun Xy1 => % 26.56/26.74 Exists fun Xy2 => % 26.56/26.74 Exists fun Xz1 => % 26.56/26.74 Exists fun Xz2 => % 26.56/26.74 And % 26.56/26.74 (And % 26.56/26.74 (And % 26.56/26.74 (And % 26.56/26.74 (Eq (skS.0 4 a_1 a_2 a_3) % 26.56/26.74 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.56/26.74 (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.56/26.74 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.56/26.74 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) Xy1 Xz1)) % 26.56/26.74 (skS.0 1 a_1 (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_6 a_7) Xy2 Xz2)) % 26.56/26.74 True)) % 26.56/26.74 Clause #107 (by clausification #[106]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 26.56/26.74 Or (Eq (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) True) % 26.56/26.74 (Or % 26.56/26.74 (Eq % 26.56/26.74 (Exists fun Xy1 => % 26.56/26.74 Exists fun Xy2 => % 26.56/26.74 Exists fun Xz1 => % 26.56/26.74 Exists fun Xz2 => % 26.56/26.76 And % 26.56/26.76 (And % 26.56/26.76 (And % 26.56/26.76 (And % 26.56/26.76 (Eq (skS.0 4 a_1 a_2 a_3) % 26.56/26.76 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.56/26.76 (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.56/26.76 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.56/26.76 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) Xy1 Xz1)) % 26.56/26.76 (skS.0 1 a_1 (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_6 a_7) Xy2 Xz2)) % 26.56/26.76 True) % 26.56/26.76 (Eq (skS.0 4 a_1 a_2 a_3) c0)) % 26.56/26.76 Clause #108 (by clausification #[107]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 26.56/26.76 Or % 26.56/26.76 (Eq % 26.56/26.76 (Exists fun Xy1 => % 26.56/26.76 Exists fun Xy2 => % 26.56/26.76 Exists fun Xz1 => % 26.56/26.76 Exists fun Xz2 => % 26.56/26.76 And % 26.56/26.76 (And % 26.56/26.76 (And % 26.56/26.76 (And % 26.56/26.76 (Eq (skS.0 4 a_1 a_2 a_3) % 26.56/26.76 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.56/26.76 (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.56/26.76 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.56/26.76 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) Xy1 Xz1)) % 26.56/26.76 (skS.0 1 a_1 (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_6 a_7) Xy2 Xz2)) % 26.56/26.76 True) % 26.56/26.76 (Or (Eq (skS.0 4 a_1 a_2 a_3) c0) (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5))) % 26.56/26.76 Clause #109 (by clausification #[108]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 : a), % 26.56/26.76 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.56/26.76 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.56/26.76 (Eq % 26.56/26.76 (Exists fun Xy2 => % 26.56/26.76 Exists fun Xz1 => % 26.56/26.76 Exists fun Xz2 => % 26.56/26.76 And % 26.56/26.76 (And % 26.56/26.76 (And % 26.56/26.76 (And % 26.56/26.76 (Eq (skS.0 4 a_1 a_2 a_3) % 26.56/26.76 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.56/26.76 (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP (skS.0 33 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) Xy2))) % 26.56/26.76 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.56/26.76 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 33 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) Xz1)) % 26.56/26.76 (skS.0 1 a_1 (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_6 a_7) Xy2 Xz2)) % 26.56/26.76 True)) % 26.56/26.76 Clause #110 (by clausification #[109]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 26.56/26.76 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.56/26.76 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.56/26.76 (Eq % 26.56/26.76 (Exists fun Xz1 => % 26.56/26.76 Exists fun Xz2 => % 26.56/26.76 And % 26.56/26.76 (And % 26.56/26.76 (And % 26.56/26.76 (And % 26.56/26.76 (Eq (skS.0 4 a_1 a_2 a_3) % 26.56/26.76 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.56/26.76 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.56/26.76 (cP (skS.0 33 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 34 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.56/26.76 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.56/26.76 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 33 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) Xz1)) % 26.56/26.76 (skS.0 1 a_1 (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 34 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) Xz2)) % 26.56/26.76 True)) % 26.56/26.76 Clause #111 (by clausification #[110]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : a), % 26.56/26.76 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.56/26.76 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.56/26.76 (Eq % 26.56/26.76 (Exists fun Xz2 => % 26.56/26.76 And % 26.56/26.76 (And % 26.56/26.76 (And % 26.56/26.76 (And % 26.56/26.76 (Eq (skS.0 4 a_1 a_2 a_3) % 26.56/26.76 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.56/26.76 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.56/26.76 (cP (skS.0 33 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 34 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.56/26.76 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP (skS.0 35 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) Xz2))) % 26.56/26.78 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 33 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 26.56/26.78 (skS.0 35 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 26.56/26.78 (skS.0 1 a_1 (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 34 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) Xz2)) % 26.56/26.78 True)) % 26.56/26.78 Clause #112 (by clausification #[111]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.56/26.78 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.56/26.78 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.56/26.78 (Eq % 26.56/26.78 (And % 26.56/26.78 (And % 26.56/26.78 (And % 26.56/26.78 (And % 26.56/26.78 (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.56/26.78 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.56/26.78 (cP (skS.0 33 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 34 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.56/26.78 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 26.56/26.78 (cP (skS.0 35 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) % 26.56/26.78 (skS.0 36 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)))) % 26.56/26.78 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 33 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 26.56/26.78 (skS.0 35 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 26.56/26.78 (skS.0 1 a_1 (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 34 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) % 26.56/26.78 (skS.0 36 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11))) % 26.56/26.78 True)) % 26.56/26.78 Clause #113 (by clausification #[112]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.56/26.78 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.56/26.78 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.56/26.78 (Eq % 26.56/26.78 (skS.0 1 a_1 (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 34 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) % 26.56/26.78 (skS.0 36 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)) % 26.56/26.78 True)) % 26.56/26.78 Clause #114 (by clausification #[112]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.56/26.78 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.56/26.78 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.56/26.78 (Eq % 26.56/26.78 (And % 26.56/26.78 (And % 26.56/26.78 (And % 26.56/26.78 (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.56/26.78 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.56/26.78 (cP (skS.0 33 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 34 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.56/26.78 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 26.56/26.78 (cP (skS.0 35 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) % 26.56/26.78 (skS.0 36 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)))) % 26.56/26.78 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 33 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 26.56/26.78 (skS.0 35 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 26.56/26.78 True)) % 26.56/26.78 Clause #115 (by superposition #[113, 30]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 a_12 : a), % 26.56/26.78 Or (Eq (skS.0 4 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3) c0) % 26.56/26.78 (Or % 26.56/26.78 (Eq (skS.0 4 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3) (skS.0 6 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_4 a_5)) % 26.56/26.78 (Or (Eq True False) % 26.56/26.78 (Eq % 26.56/26.78 (skS.0 3 a_1 a_6 (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_7 a_8) (skS.0 34 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10) % 26.56/26.78 (skS.0 36 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10 a_11 a_12)) % 26.56/26.78 True))) % 26.56/26.78 Clause #116 (by clausification #[39]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a), % 26.56/26.78 Eq % 26.56/26.78 (Exists fun Xx1 => % 26.56/26.78 Exists fun Xx2 => % 26.56/26.78 Exists fun Xy1 => % 26.56/26.78 Exists fun Xy2 => % 26.56/26.78 Exists fun Xz1 => % 26.56/26.78 Exists fun Xz2 => % 26.56/26.78 And % 26.56/26.78 (And % 26.56/26.78 (And (And (Eq (skS.0 4 a_1 a_2 a_3) (cP Xx1 Xx2)) (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.56/26.78 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.56/26.78 (skS.0 3 a_1 a_2 Xx1 Xy1 Xz1)) % 26.56/26.78 (skS.0 3 a_1 a_2 Xx2 Xy2 Xz2)) % 26.56/26.78 False % 26.56/26.78 Clause #117 (by clausification #[39]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a), % 26.64/26.81 Eq % 26.64/26.81 (Or (And (Eq (skS.0 4 a_1 a_2 a_3) c0) (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5))) % 26.64/26.81 (And (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)))) % 26.64/26.81 False % 26.64/26.81 Clause #118 (by clausification #[116]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 : a), % 26.64/26.81 Eq % 26.64/26.81 (Exists fun Xx2 => % 26.64/26.81 Exists fun Xy1 => % 26.64/26.81 Exists fun Xy2 => % 26.64/26.81 Exists fun Xz1 => % 26.64/26.81 Exists fun Xz2 => % 26.64/26.81 And % 26.64/26.81 (And % 26.64/26.81 (And (And (Eq (skS.0 4 a_1 a_2 a_3) (cP a_4 Xx2)) (Eq (skS.0 5 a_1 a_2 a_3 a_5) (cP Xy1 Xy2))) % 26.64/26.81 (Eq (skS.0 6 a_1 a_2 a_3 a_5 a_6) (cP Xz1 Xz2))) % 26.64/26.81 (skS.0 3 a_1 a_2 a_4 Xy1 Xz1)) % 26.64/26.81 (skS.0 3 a_1 a_2 Xx2 Xy2 Xz2)) % 26.64/26.81 False % 26.64/26.81 Clause #119 (by clausification #[118]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 26.64/26.81 Eq % 26.64/26.81 (Exists fun Xy1 => % 26.64/26.81 Exists fun Xy2 => % 26.64/26.81 Exists fun Xz1 => % 26.64/26.81 Exists fun Xz2 => % 26.64/26.81 And % 26.64/26.81 (And % 26.64/26.81 (And (And (Eq (skS.0 4 a_1 a_2 a_3) (cP a_4 a_5)) (Eq (skS.0 5 a_1 a_2 a_3 a_6) (cP Xy1 Xy2))) % 26.64/26.81 (Eq (skS.0 6 a_1 a_2 a_3 a_6 a_7) (cP Xz1 Xz2))) % 26.64/26.81 (skS.0 3 a_1 a_2 a_4 Xy1 Xz1)) % 26.64/26.81 (skS.0 3 a_1 a_2 a_5 Xy2 Xz2)) % 26.64/26.81 False % 26.64/26.81 Clause #120 (by clausification #[119]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 : a), % 26.64/26.81 Eq % 26.64/26.81 (Exists fun Xy2 => % 26.64/26.81 Exists fun Xz1 => % 26.64/26.81 Exists fun Xz2 => % 26.64/26.81 And % 26.64/26.81 (And % 26.64/26.81 (And (And (Eq (skS.0 4 a_1 a_2 a_3) (cP a_4 a_5)) (Eq (skS.0 5 a_1 a_2 a_3 a_6) (cP a_7 Xy2))) % 26.64/26.81 (Eq (skS.0 6 a_1 a_2 a_3 a_6 a_8) (cP Xz1 Xz2))) % 26.64/26.81 (skS.0 3 a_1 a_2 a_4 a_7 Xz1)) % 26.64/26.81 (skS.0 3 a_1 a_2 a_5 Xy2 Xz2)) % 26.64/26.81 False % 26.64/26.81 Clause #121 (by clausification #[120]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 26.64/26.81 Eq % 26.64/26.81 (Exists fun Xz1 => % 26.64/26.81 Exists fun Xz2 => % 26.64/26.81 And % 26.64/26.81 (And % 26.64/26.81 (And (And (Eq (skS.0 4 a_1 a_2 a_3) (cP a_4 a_5)) (Eq (skS.0 5 a_1 a_2 a_3 a_6) (cP a_7 a_8))) % 26.64/26.81 (Eq (skS.0 6 a_1 a_2 a_3 a_6 a_9) (cP Xz1 Xz2))) % 26.64/26.81 (skS.0 3 a_1 a_2 a_4 a_7 Xz1)) % 26.64/26.81 (skS.0 3 a_1 a_2 a_5 a_8 Xz2)) % 26.64/26.81 False % 26.64/26.81 Clause #122 (by clausification #[121]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : a), % 26.64/26.81 Eq % 26.64/26.81 (Exists fun Xz2 => % 26.64/26.81 And % 26.64/26.81 (And % 26.64/26.81 (And (And (Eq (skS.0 4 a_1 a_2 a_3) (cP a_4 a_5)) (Eq (skS.0 5 a_1 a_2 a_3 a_6) (cP a_7 a_8))) % 26.64/26.81 (Eq (skS.0 6 a_1 a_2 a_3 a_6 a_9) (cP a_10 Xz2))) % 26.64/26.81 (skS.0 3 a_1 a_2 a_4 a_7 a_10)) % 26.64/26.81 (skS.0 3 a_1 a_2 a_5 a_8 Xz2)) % 26.64/26.81 False % 26.64/26.81 Clause #123 (by clausification #[122]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.64/26.81 Eq % 26.64/26.81 (And % 26.64/26.81 (And % 26.64/26.81 (And (And (Eq (skS.0 4 a_1 a_2 a_3) (cP a_4 a_5)) (Eq (skS.0 5 a_1 a_2 a_3 a_6) (cP a_7 a_8))) % 26.64/26.81 (Eq (skS.0 6 a_1 a_2 a_3 a_6 a_9) (cP a_10 a_11))) % 26.64/26.81 (skS.0 3 a_1 a_2 a_4 a_7 a_10)) % 26.64/26.81 (skS.0 3 a_1 a_2 a_5 a_8 a_11)) % 26.64/26.81 False % 26.64/26.81 Clause #124 (by clausification #[123]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.64/26.81 Or % 26.64/26.81 (Eq % 26.64/26.81 (And % 26.64/26.81 (And (And (Eq (skS.0 4 a_1 a_2 a_3) (cP a_4 a_5)) (Eq (skS.0 5 a_1 a_2 a_3 a_6) (cP a_7 a_8))) % 26.64/26.81 (Eq (skS.0 6 a_1 a_2 a_3 a_6 a_9) (cP a_10 a_11))) % 26.64/26.81 (skS.0 3 a_1 a_2 a_4 a_7 a_10)) % 26.64/26.81 False) % 26.64/26.81 (Eq (skS.0 3 a_1 a_2 a_5 a_8 a_11) False) % 26.64/26.81 Clause #125 (by clausification #[124]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.64/26.81 Or (Eq (skS.0 3 a_1 a_2 a_3 a_4 a_5) False) % 26.64/26.81 (Or % 26.64/26.81 (Eq % 26.64/26.81 (And (And (Eq (skS.0 4 a_1 a_2 a_6) (cP a_7 a_3)) (Eq (skS.0 5 a_1 a_2 a_6 a_8) (cP a_9 a_4))) % 26.64/26.81 (Eq (skS.0 6 a_1 a_2 a_6 a_8 a_10) (cP a_11 a_5))) % 26.64/26.81 False) % 26.64/26.81 (Eq (skS.0 3 a_1 a_2 a_7 a_9 a_11) False)) % 26.64/26.81 Clause #126 (by clausification #[125]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.64/26.84 Or (Eq (skS.0 3 a_1 a_2 a_3 a_4 a_5) False) % 26.64/26.84 (Or (Eq (skS.0 3 a_1 a_2 a_6 a_7 a_8) False) % 26.64/26.84 (Or (Eq (And (Eq (skS.0 4 a_1 a_2 a_9) (cP a_6 a_3)) (Eq (skS.0 5 a_1 a_2 a_9 a_10) (cP a_7 a_4))) False) % 26.64/26.84 (Eq (Eq (skS.0 6 a_1 a_2 a_9 a_10 a_11) (cP a_8 a_5)) False))) % 26.64/26.84 Clause #127 (by clausification #[126]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.64/26.84 Or (Eq (skS.0 3 a_1 a_2 a_3 a_4 a_5) False) % 26.64/26.84 (Or (Eq (skS.0 3 a_1 a_2 a_6 a_7 a_8) False) % 26.64/26.84 (Or (Eq (Eq (skS.0 6 a_1 a_2 a_9 a_10 a_11) (cP a_8 a_5)) False) % 26.64/26.84 (Or (Eq (Eq (skS.0 4 a_1 a_2 a_9) (cP a_6 a_3)) False) % 26.64/26.84 (Eq (Eq (skS.0 5 a_1 a_2 a_9 a_10) (cP a_7 a_4)) False)))) % 26.64/26.84 Clause #128 (by clausification #[127]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.64/26.84 Or (Eq (skS.0 3 a_1 a_2 a_3 a_4 a_5) False) % 26.64/26.84 (Or (Eq (skS.0 3 a_1 a_2 a_6 a_7 a_8) False) % 26.64/26.84 (Or (Eq (Eq (skS.0 4 a_1 a_2 a_9) (cP a_6 a_3)) False) % 26.64/26.84 (Or (Eq (Eq (skS.0 5 a_1 a_2 a_9 a_10) (cP a_7 a_4)) False) (Ne (skS.0 6 a_1 a_2 a_9 a_10 a_11) (cP a_8 a_5))))) % 26.64/26.84 Clause #129 (by clausification #[128]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.64/26.84 Or (Eq (skS.0 3 a_1 a_2 a_3 a_4 a_5) False) % 26.64/26.84 (Or (Eq (skS.0 3 a_1 a_2 a_6 a_7 a_8) False) % 26.64/26.84 (Or (Eq (Eq (skS.0 5 a_1 a_2 a_9 a_10) (cP a_7 a_4)) False) % 26.64/26.84 (Or (Ne (skS.0 6 a_1 a_2 a_9 a_10 a_11) (cP a_8 a_5)) (Ne (skS.0 4 a_1 a_2 a_9) (cP a_6 a_3))))) % 26.64/26.84 Clause #130 (by clausification #[129]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.64/26.84 Or (Eq (skS.0 3 a_1 a_2 a_3 a_4 a_5) False) % 26.64/26.84 (Or (Eq (skS.0 3 a_1 a_2 a_6 a_7 a_8) False) % 26.64/26.84 (Or (Ne (skS.0 6 a_1 a_2 a_9 a_10 a_11) (cP a_8 a_5)) % 26.64/26.84 (Or (Ne (skS.0 4 a_1 a_2 a_9) (cP a_6 a_3)) (Ne (skS.0 5 a_1 a_2 a_9 a_10) (cP a_7 a_4))))) % 26.64/26.84 Clause #131 (by superposition #[130, 82]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 : a) (a_9 : a → a → a → Prop) % 26.64/26.84 (a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18 : a), % 26.64/26.84 Or (Eq (skS.0 3 (fun x x_1 x_2 => a_1 x x_1 x_2) (fun x x_1 x_2 => a_2 x x_1 x_2) a_3 a_4 a_5) False) % 26.64/26.84 (Or % 26.64/26.84 (Ne (skS.0 6 (fun x x_1 x_2 => a_1 x x_1 x_2) (fun x x_1 x_2 => a_2 x x_1 x_2) a_6 a_7 a_8) % 26.64/26.84 (cP a_5 (skS.0 12 a_1 a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18))) % 26.64/26.84 (Or % 26.64/26.84 (Ne (skS.0 4 (fun x x_1 x_2 => a_1 x x_1 x_2) (fun x x_1 x_2 => a_2 x x_1 x_2) a_6) % 26.64/26.84 (cP a_3 (skS.0 8 a_1 a_9 a_10 a_11 a_12 a_13 a_14))) % 26.64/26.84 (Or % 26.64/26.84 (Ne (skS.0 5 (fun x x_1 x_2 => a_1 x x_1 x_2) (fun x x_1 x_2 => a_2 x x_1 x_2) a_6 a_7) % 26.64/26.84 (cP a_4 (skS.0 10 a_1 a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16))) % 26.64/26.84 (Or (Eq (skS.0 5 a_1 a_9 a_10 a_11) (skS.0 6 a_1 a_9 a_10 a_11 a_12)) % 26.64/26.84 (Or (Eq (skS.0 4 a_1 a_9 a_10) (skS.0 6 a_1 a_9 a_10 a_11 a_12)) (Eq False True)))))) % 26.64/26.84 Clause #133 (by clausification #[117]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a), % 26.64/26.84 Eq (And (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5))) False % 26.64/26.84 Clause #134 (by clausification #[117]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a), % 26.64/26.84 Eq (And (Eq (skS.0 4 a_1 a_2 a_3) c0) (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5))) False % 26.64/26.84 Clause #135 (by clausification #[133]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a), % 26.64/26.84 Or (Eq (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) False) (Eq (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) False) % 26.64/26.84 Clause #136 (by clausification #[135]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a), % 26.64/26.84 Or (Eq (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) False) (Ne (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.64/26.84 Clause #137 (by clausification #[136]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a), % 26.64/26.84 Or (Ne (skS.0 5 a_1 a_2 a_3 a_4) c0) (Ne (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.64/26.84 Clause #138 (by clausification #[134]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a), % 26.64/26.84 Or (Eq (Eq (skS.0 4 a_1 a_2 a_3) c0) False) (Eq (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) False) % 26.64/26.86 Clause #139 (by clausification #[138]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a), % 26.64/26.86 Or (Eq (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) False) (Ne (skS.0 4 a_1 a_2 a_3) c0) % 26.64/26.86 Clause #140 (by clausification #[139]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a), % 26.64/26.86 Or (Ne (skS.0 4 a_1 a_2 a_3) c0) (Ne (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.64/26.86 Clause #141 (by betaEtaReduce #[115]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 a_12 : a), % 26.64/26.86 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.64/26.86 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.64/26.86 (Or (Eq True False) % 26.64/26.86 (Eq % 26.64/26.86 (skS.0 3 a_1 a_6 (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_7 a_8) (skS.0 34 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10) % 26.64/26.86 (skS.0 36 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10 a_11 a_12)) % 26.64/26.86 True))) % 26.64/26.86 Clause #142 (by clausification #[141]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 a_12 : a), % 26.64/26.86 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.64/26.86 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.64/26.86 (Eq % 26.64/26.86 (skS.0 3 a_1 a_6 (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_7 a_8) (skS.0 34 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10) % 26.64/26.86 (skS.0 36 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10 a_11 a_12)) % 26.64/26.86 True)) % 26.64/26.86 Clause #143 (by superposition #[142, 130]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) % 26.64/26.86 (a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18 : a), % 26.64/26.86 Or (Eq (skS.0 4 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3) c0) % 26.64/26.86 (Or % 26.64/26.86 (Eq (skS.0 4 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3) (skS.0 6 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_4 a_5)) % 26.64/26.86 (Or (Eq True False) % 26.64/26.86 (Or (Eq (skS.0 3 a_1 a_6 a_7 a_8 a_9) False) % 26.64/26.86 (Or % 26.64/26.86 (Ne (skS.0 6 a_1 a_6 a_10 a_11 a_12) (cP a_9 (skS.0 36 a_1 a_2 a_3 a_4 a_5 a_13 a_14 a_15 a_16 a_17 a_18))) % 26.64/26.86 (Or (Ne (skS.0 4 a_1 a_6 a_10) (cP a_7 (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_13 a_14))) % 26.64/26.86 (Ne (skS.0 5 a_1 a_6 a_10 a_11) (cP a_8 (skS.0 34 a_1 a_2 a_3 a_4 a_5 a_13 a_14 a_15 a_16)))))))) % 26.64/26.86 Clause #144 (by clausification #[105]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 26.64/26.86 Or (Eq (Eq (skS.0 4 a_1 a_2 a_3) c0) True) % 26.64/26.86 (Or (Eq (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) True) % 26.64/26.86 (Eq % 26.64/26.86 (Exists fun Xy1 => % 26.64/26.86 Exists fun Xy2 => % 26.64/26.86 Exists fun Xz1 => % 26.64/26.86 Exists fun Xz2 => % 26.64/26.86 And % 26.64/26.86 (And % 26.64/26.86 (And % 26.64/26.86 (And % 26.64/26.86 (Eq (skS.0 4 a_1 a_2 a_3) % 26.64/26.86 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 37 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.64/26.86 (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.64/26.86 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.64/26.86 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) Xy1 Xz1)) % 26.64/26.86 (skS.0 1 a_1 (skS.0 37 a_1 a_2 a_3 a_4 a_5 a_6 a_7) Xy2 Xz2)) % 26.64/26.86 True)) % 26.64/26.86 Clause #145 (by clausification #[144]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 26.64/26.86 Or (Eq (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) True) % 26.64/26.86 (Or % 26.64/26.86 (Eq % 26.64/26.86 (Exists fun Xy1 => % 26.64/26.86 Exists fun Xy2 => % 26.64/26.86 Exists fun Xz1 => % 26.64/26.86 Exists fun Xz2 => % 26.64/26.86 And % 26.64/26.86 (And % 26.64/26.86 (And % 26.64/26.86 (And % 26.64/26.86 (Eq (skS.0 4 a_1 a_2 a_3) % 26.64/26.86 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 37 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.64/26.86 (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.64/26.86 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.64/26.86 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) Xy1 Xz1)) % 26.64/26.86 (skS.0 1 a_1 (skS.0 37 a_1 a_2 a_3 a_4 a_5 a_6 a_7) Xy2 Xz2)) % 26.64/26.86 True) % 26.64/26.86 (Eq (skS.0 4 a_1 a_2 a_3) c0)) % 26.64/26.86 Clause #146 (by clausification #[145]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 26.74/26.89 Or % 26.74/26.89 (Eq % 26.74/26.89 (Exists fun Xy1 => % 26.74/26.89 Exists fun Xy2 => % 26.74/26.89 Exists fun Xz1 => % 26.74/26.89 Exists fun Xz2 => % 26.74/26.89 And % 26.74/26.89 (And % 26.74/26.89 (And % 26.74/26.89 (And % 26.74/26.89 (Eq (skS.0 4 a_1 a_2 a_3) % 26.74/26.89 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 37 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.74/26.89 (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP Xy1 Xy2))) % 26.74/26.89 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.74/26.89 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) Xy1 Xz1)) % 26.74/26.89 (skS.0 1 a_1 (skS.0 37 a_1 a_2 a_3 a_4 a_5 a_6 a_7) Xy2 Xz2)) % 26.74/26.89 True) % 26.74/26.89 (Or (Eq (skS.0 4 a_1 a_2 a_3) c0) (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0)) % 26.74/26.89 Clause #147 (by clausification #[146]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 : a), % 26.74/26.89 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.74/26.89 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.74/26.89 (Eq % 26.74/26.89 (Exists fun Xy2 => % 26.74/26.89 Exists fun Xz1 => % 26.74/26.89 Exists fun Xz2 => % 26.74/26.89 And % 26.74/26.89 (And % 26.74/26.89 (And % 26.74/26.89 (And % 26.74/26.89 (Eq (skS.0 4 a_1 a_2 a_3) % 26.74/26.89 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 37 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.74/26.89 (Eq (skS.0 5 a_1 a_2 a_3 a_4) (cP (skS.0 38 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) Xy2))) % 26.74/26.89 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.74/26.89 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 38 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) Xz1)) % 26.74/26.89 (skS.0 1 a_1 (skS.0 37 a_1 a_2 a_3 a_4 a_5 a_6 a_7) Xy2 Xz2)) % 26.74/26.89 True)) % 26.74/26.89 Clause #148 (by clausification #[147]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 26.74/26.89 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.74/26.89 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.74/26.89 (Eq % 26.74/26.89 (Exists fun Xz1 => % 26.74/26.89 Exists fun Xz2 => % 26.74/26.89 And % 26.74/26.89 (And % 26.74/26.89 (And % 26.74/26.89 (And % 26.74/26.89 (Eq (skS.0 4 a_1 a_2 a_3) % 26.74/26.89 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 37 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.74/26.89 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.74/26.89 (cP (skS.0 38 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 39 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.74/26.89 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP Xz1 Xz2))) % 26.74/26.89 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 38 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) Xz1)) % 26.74/26.89 (skS.0 1 a_1 (skS.0 37 a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 39 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) Xz2)) % 26.74/26.89 True)) % 26.74/26.89 Clause #149 (by clausification #[148]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : a), % 26.74/26.89 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.74/26.89 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.74/26.89 (Eq % 26.74/26.89 (Exists fun Xz2 => % 26.74/26.89 And % 26.74/26.89 (And % 26.74/26.89 (And % 26.74/26.89 (And % 26.74/26.89 (Eq (skS.0 4 a_1 a_2 a_3) % 26.74/26.89 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 37 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.74/26.89 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.74/26.89 (cP (skS.0 38 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 39 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.74/26.89 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) (cP (skS.0 40 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) Xz2))) % 26.74/26.89 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 38 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 26.74/26.89 (skS.0 40 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 26.74/26.89 (skS.0 1 a_1 (skS.0 37 a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 39 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) Xz2)) % 26.74/26.89 True)) % 26.74/26.89 Clause #150 (by clausification #[149]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.74/26.89 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.74/26.89 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.74/26.89 (Eq % 26.74/26.89 (And % 26.74/26.89 (And % 26.74/26.89 (And % 26.74/26.89 (And % 26.74/26.89 (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 37 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.74/26.89 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.74/26.89 (cP (skS.0 38 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 39 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.76/26.91 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 26.76/26.91 (cP (skS.0 40 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) % 26.76/26.91 (skS.0 41 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)))) % 26.76/26.91 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 38 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 26.76/26.91 (skS.0 40 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 26.76/26.91 (skS.0 1 a_1 (skS.0 37 a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 39 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) % 26.76/26.91 (skS.0 41 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11))) % 26.76/26.91 True)) % 26.76/26.91 Clause #151 (by clausification #[150]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.76/26.91 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.76/26.91 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.76/26.91 (Eq % 26.76/26.91 (skS.0 1 a_1 (skS.0 37 a_1 a_2 a_3 a_4 a_5 a_6 a_7) (skS.0 39 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) % 26.76/26.91 (skS.0 41 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)) % 26.76/26.91 True)) % 26.76/26.91 Clause #152 (by clausification #[150]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.76/26.91 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.76/26.91 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.76/26.91 (Eq % 26.76/26.91 (And % 26.76/26.91 (And % 26.76/26.91 (And % 26.76/26.91 (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 37 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.76/26.91 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.76/26.91 (cP (skS.0 38 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 39 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.76/26.91 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 26.76/26.91 (cP (skS.0 40 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) % 26.76/26.91 (skS.0 41 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)))) % 26.76/26.91 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 38 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 26.76/26.91 (skS.0 40 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10))) % 26.76/26.91 True)) % 26.76/26.91 Clause #153 (by superposition #[151, 30]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) (a_6 a_7 a_8 a_9 a_10 a_11 a_12 : a), % 26.76/26.91 Or (Eq (skS.0 4 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3) c0) % 26.76/26.91 (Or (Eq (skS.0 5 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_4) c0) % 26.76/26.91 (Or (Eq True False) % 26.76/26.91 (Eq % 26.76/26.91 (skS.0 3 a_1 a_5 (skS.0 37 a_1 a_2 a_3 a_4 a_6 a_7 a_8) (skS.0 39 a_1 a_2 a_3 a_4 a_6 a_7 a_8 a_9 a_10) % 26.76/26.91 (skS.0 41 a_1 a_2 a_3 a_4 a_6 a_7 a_8 a_9 a_10 a_11 a_12)) % 26.76/26.91 True))) % 26.76/26.91 Clause #154 (by betaEtaReduce #[153]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) (a_6 a_7 a_8 a_9 a_10 a_11 a_12 : a), % 26.76/26.91 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.76/26.91 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.76/26.91 (Or (Eq True False) % 26.76/26.91 (Eq % 26.76/26.91 (skS.0 3 a_1 a_5 (skS.0 37 a_1 a_2 a_3 a_4 a_6 a_7 a_8) (skS.0 39 a_1 a_2 a_3 a_4 a_6 a_7 a_8 a_9 a_10) % 26.76/26.91 (skS.0 41 a_1 a_2 a_3 a_4 a_6 a_7 a_8 a_9 a_10 a_11 a_12)) % 26.76/26.91 True))) % 26.76/26.91 Clause #155 (by clausification #[154]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) (a_6 a_7 a_8 a_9 a_10 a_11 a_12 : a), % 26.76/26.91 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.76/26.91 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.76/26.91 (Eq % 26.76/26.91 (skS.0 3 a_1 a_5 (skS.0 37 a_1 a_2 a_3 a_4 a_6 a_7 a_8) (skS.0 39 a_1 a_2 a_3 a_4 a_6 a_7 a_8 a_9 a_10) % 26.76/26.91 (skS.0 41 a_1 a_2 a_3 a_4 a_6 a_7 a_8 a_9 a_10 a_11 a_12)) % 26.76/26.91 True)) % 26.76/26.91 Clause #156 (by superposition #[155, 130]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) % 26.76/26.91 (a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18 : a), % 26.76/26.91 Or (Eq (skS.0 4 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3) c0) % 26.76/26.91 (Or (Eq (skS.0 5 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_4) c0) % 26.76/26.91 (Or (Eq True False) % 26.76/26.91 (Or (Eq (skS.0 3 a_1 a_5 a_6 a_7 a_8) False) % 26.76/26.91 (Or % 26.76/26.91 (Ne (skS.0 6 a_1 a_5 a_9 a_10 a_11) (cP a_8 (skS.0 41 a_1 a_2 a_3 a_4 a_12 a_13 a_14 a_15 a_16 a_17 a_18))) % 26.76/26.91 (Or (Ne (skS.0 4 a_1 a_5 a_9) (cP a_6 (skS.0 37 a_1 a_2 a_3 a_4 a_12 a_13 a_14))) % 26.76/26.91 (Ne (skS.0 5 a_1 a_5 a_9 a_10) (cP a_7 (skS.0 39 a_1 a_2 a_3 a_4 a_12 a_13 a_14 a_15 a_16)))))))) % 26.78/26.94 Clause #157 (by clausification #[55]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : a), % 26.78/26.94 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.78/26.94 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.78/26.94 (Eq % 26.78/26.94 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 9 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 26.78/26.94 (skS.0 11 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)) % 26.78/26.94 True)) % 26.78/26.94 Clause #158 (by clausification #[55]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.78/26.94 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.78/26.94 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.78/26.94 (Eq % 26.78/26.94 (And % 26.78/26.94 (And (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.78/26.94 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.78/26.94 (cP (skS.0 9 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 10 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.78/26.94 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 26.78/26.94 (cP (skS.0 11 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) % 26.78/26.94 (skS.0 12 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)))) % 26.78/26.94 True)) % 26.78/26.94 Clause #159 (by superposition #[157, 30]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 : a), % 26.78/26.94 Or % 26.78/26.94 (Eq (skS.0 5 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_4) % 26.78/26.94 (skS.0 6 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_4 a_5)) % 26.78/26.94 (Or % 26.78/26.94 (Eq (skS.0 4 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3) (skS.0 6 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_4 a_5)) % 26.78/26.94 (Or (Eq True False) % 26.78/26.94 (Eq % 26.78/26.94 (skS.0 3 a_1 a_6 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_7) (skS.0 9 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9) % 26.78/26.94 (skS.0 11 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10 a_11)) % 26.78/26.94 True))) % 26.78/26.94 Clause #160 (by betaEtaReduce #[159]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 : a), % 26.78/26.94 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.78/26.94 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.78/26.94 (Or (Eq True False) % 26.78/26.94 (Eq % 26.78/26.94 (skS.0 3 a_1 a_6 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_7) (skS.0 9 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9) % 26.78/26.94 (skS.0 11 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10 a_11)) % 26.78/26.94 True))) % 26.78/26.94 Clause #161 (by clausification #[160]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 : a), % 26.78/26.94 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.78/26.94 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.78/26.94 (Eq % 26.78/26.94 (skS.0 3 a_1 a_6 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_7) (skS.0 9 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9) % 26.78/26.94 (skS.0 11 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10 a_11)) % 26.78/26.94 True)) % 26.78/26.94 Clause #163 (by betaEtaReduce #[156]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) % 26.78/26.94 (a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18 : a), % 26.78/26.94 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.78/26.94 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.78/26.94 (Or (Eq True False) % 26.78/26.94 (Or (Eq (skS.0 3 a_1 a_5 a_6 a_7 a_8) False) % 26.78/26.94 (Or % 26.78/26.94 (Ne (skS.0 6 a_1 a_5 a_9 a_10 a_11) (cP a_8 (skS.0 41 a_1 a_2 a_3 a_4 a_12 a_13 a_14 a_15 a_16 a_17 a_18))) % 26.78/26.94 (Or (Ne (skS.0 4 a_1 a_5 a_9) (cP a_6 (skS.0 37 a_1 a_2 a_3 a_4 a_12 a_13 a_14))) % 26.78/26.94 (Ne (skS.0 5 a_1 a_5 a_9 a_10) (cP a_7 (skS.0 39 a_1 a_2 a_3 a_4 a_12 a_13 a_14 a_15 a_16)))))))) % 26.78/26.94 Clause #164 (by clausification #[163]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) % 26.78/26.94 (a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18 : a), % 26.78/26.94 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.78/26.94 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.78/26.94 (Or (Eq (skS.0 3 a_1 a_5 a_6 a_7 a_8) False) % 26.78/26.94 (Or (Ne (skS.0 6 a_1 a_5 a_9 a_10 a_11) (cP a_8 (skS.0 41 a_1 a_2 a_3 a_4 a_12 a_13 a_14 a_15 a_16 a_17 a_18))) % 26.78/26.94 (Or (Ne (skS.0 4 a_1 a_5 a_9) (cP a_6 (skS.0 37 a_1 a_2 a_3 a_4 a_12 a_13 a_14))) % 26.78/26.97 (Ne (skS.0 5 a_1 a_5 a_9 a_10) (cP a_7 (skS.0 39 a_1 a_2 a_3 a_4 a_12 a_13 a_14 a_15 a_16))))))) % 26.78/26.97 Clause #170 (by betaEtaReduce #[143]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) % 26.78/26.97 (a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18 : a), % 26.78/26.97 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.78/26.97 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.78/26.97 (Or (Eq True False) % 26.78/26.97 (Or (Eq (skS.0 3 a_1 a_6 a_7 a_8 a_9) False) % 26.78/26.97 (Or % 26.78/26.97 (Ne (skS.0 6 a_1 a_6 a_10 a_11 a_12) (cP a_9 (skS.0 36 a_1 a_2 a_3 a_4 a_5 a_13 a_14 a_15 a_16 a_17 a_18))) % 26.78/26.97 (Or (Ne (skS.0 4 a_1 a_6 a_10) (cP a_7 (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_13 a_14))) % 26.78/26.97 (Ne (skS.0 5 a_1 a_6 a_10 a_11) (cP a_8 (skS.0 34 a_1 a_2 a_3 a_4 a_5 a_13 a_14 a_15 a_16)))))))) % 26.78/26.97 Clause #171 (by clausification #[170]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) % 26.78/26.97 (a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18 : a), % 26.78/26.97 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.78/26.97 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.78/26.97 (Or (Eq (skS.0 3 a_1 a_6 a_7 a_8 a_9) False) % 26.78/26.97 (Or (Ne (skS.0 6 a_1 a_6 a_10 a_11 a_12) (cP a_9 (skS.0 36 a_1 a_2 a_3 a_4 a_5 a_13 a_14 a_15 a_16 a_17 a_18))) % 26.78/26.97 (Or (Ne (skS.0 4 a_1 a_6 a_10) (cP a_7 (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_13 a_14))) % 26.78/26.97 (Ne (skS.0 5 a_1 a_6 a_10 a_11) (cP a_8 (skS.0 34 a_1 a_2 a_3 a_4 a_5 a_13 a_14 a_15 a_16))))))) % 26.78/26.97 Clause #234 (by betaEtaReduce #[131]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 : a) (a_9 : a → a → a → Prop) % 26.78/26.97 (a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18 : a), % 26.78/26.97 Or (Eq (skS.0 3 a_1 a_2 a_3 a_4 a_5) False) % 26.78/26.97 (Or (Ne (skS.0 6 a_1 a_2 a_6 a_7 a_8) (cP a_5 (skS.0 12 a_1 a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18))) % 26.78/26.97 (Or (Ne (skS.0 4 a_1 a_2 a_6) (cP a_3 (skS.0 8 a_1 a_9 a_10 a_11 a_12 a_13 a_14))) % 26.78/26.97 (Or (Ne (skS.0 5 a_1 a_2 a_6 a_7) (cP a_4 (skS.0 10 a_1 a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16))) % 26.78/26.97 (Or (Eq (skS.0 5 a_1 a_9 a_10 a_11) (skS.0 6 a_1 a_9 a_10 a_11 a_12)) % 26.78/26.97 (Or (Eq (skS.0 4 a_1 a_9 a_10) (skS.0 6 a_1 a_9 a_10 a_11 a_12)) (Eq False True)))))) % 26.78/26.97 Clause #235 (by clausification #[234]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 : a) (a_9 : a → a → a → Prop) % 26.78/26.97 (a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18 : a), % 26.78/26.97 Or (Eq (skS.0 3 a_1 a_2 a_3 a_4 a_5) False) % 26.78/26.97 (Or (Ne (skS.0 6 a_1 a_2 a_6 a_7 a_8) (cP a_5 (skS.0 12 a_1 a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18))) % 26.78/26.97 (Or (Ne (skS.0 4 a_1 a_2 a_6) (cP a_3 (skS.0 8 a_1 a_9 a_10 a_11 a_12 a_13 a_14))) % 26.78/26.97 (Or (Ne (skS.0 5 a_1 a_2 a_6 a_7) (cP a_4 (skS.0 10 a_1 a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16))) % 26.78/26.97 (Or (Eq (skS.0 5 a_1 a_9 a_10 a_11) (skS.0 6 a_1 a_9 a_10 a_11 a_12)) % 26.78/26.97 (Eq (skS.0 4 a_1 a_9 a_10) (skS.0 6 a_1 a_9 a_10 a_11 a_12)))))) % 26.78/26.97 Clause #240 (by superposition #[235, 161]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14 : a) % 26.78/26.97 (a_15 : a → a → a → Prop) (a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24 : a), % 26.78/26.97 Or % 26.78/26.97 (Ne (skS.0 6 (fun x x_1 x_2 => a_1 x x_1 x_2) (fun x x_1 x_2 => a_2 x x_1 x_2) a_3 a_4 a_5) % 26.78/26.97 (cP (skS.0 11 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14) % 26.78/26.97 (skS.0 12 (fun x x_1 x_2 => a_1 x x_1 x_2) a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24))) % 26.78/26.97 (Or % 26.78/26.97 (Ne (skS.0 4 (fun x x_1 x_2 => a_1 x x_1 x_2) (fun x x_1 x_2 => a_2 x x_1 x_2) a_3) % 26.78/26.97 (cP (skS.0 7 a_1 a_6 a_7 a_8 a_9 a_10) % 26.78/26.97 (skS.0 8 (fun x x_1 x_2 => a_1 x x_1 x_2) a_15 a_16 a_17 a_18 a_19 a_20))) % 26.78/26.97 (Or % 26.78/26.97 (Ne (skS.0 5 (fun x x_1 x_2 => a_1 x x_1 x_2) (fun x x_1 x_2 => a_2 x x_1 x_2) a_3 a_4) % 26.78/26.97 (cP (skS.0 9 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12) % 26.78/26.97 (skS.0 10 (fun x x_1 x_2 => a_1 x x_1 x_2) a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22))) % 26.78/26.97 (Or % 26.78/26.97 (Eq (skS.0 5 (fun x x_1 x_2 => a_1 x x_1 x_2) a_15 a_16 a_17) % 26.78/26.97 (skS.0 6 (fun x x_1 x_2 => a_1 x x_1 x_2) a_15 a_16 a_17 a_18)) % 26.78/26.99 (Or % 26.78/26.99 (Eq (skS.0 4 (fun x x_1 x_2 => a_1 x x_1 x_2) a_15 a_16) % 26.78/26.99 (skS.0 6 (fun x x_1 x_2 => a_1 x x_1 x_2) a_15 a_16 a_17 a_18)) % 26.78/26.99 (Or (Eq (skS.0 5 a_1 a_6 a_7 a_8) (skS.0 6 a_1 a_6 a_7 a_8 a_9)) % 26.78/26.99 (Or (Eq (skS.0 4 a_1 a_6 a_7) (skS.0 6 a_1 a_6 a_7 a_8 a_9)) (Eq False True))))))) % 26.78/26.99 Clause #243 (by clausification #[158]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.78/26.99 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.78/26.99 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.78/26.99 (Eq % 26.78/26.99 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 26.78/26.99 (cP (skS.0 11 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) % 26.78/26.99 (skS.0 12 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11))) % 26.78/26.99 True)) % 26.78/26.99 Clause #244 (by clausification #[158]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 26.78/26.99 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.78/26.99 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.78/26.99 (Eq % 26.78/26.99 (And (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.78/26.99 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.78/26.99 (cP (skS.0 9 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 10 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.78/26.99 True)) % 26.78/26.99 Clause #245 (by clausification #[243]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.78/26.99 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.78/26.99 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.78/26.99 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 26.78/26.99 (cP (skS.0 11 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) % 26.78/26.99 (skS.0 12 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)))) % 26.78/26.99 Clause #246 (by clausification #[244]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 26.78/26.99 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.78/26.99 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.78/26.99 (Eq % 26.78/26.99 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.78/26.99 (cP (skS.0 9 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 10 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))) % 26.78/26.99 True)) % 26.78/26.99 Clause #247 (by clausification #[244]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 26.78/26.99 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.78/26.99 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.78/26.99 (Eq (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) True)) % 26.78/26.99 Clause #248 (by clausification #[246]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 26.78/26.99 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.78/26.99 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.78/26.99 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.78/26.99 (cP (skS.0 9 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 10 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.78/26.99 Clause #249 (by clausification #[247]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 26.78/26.99 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.78/26.99 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.78/26.99 (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7)))) % 26.78/26.99 Clause #256 (by clausification #[91]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : a), % 26.78/26.99 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.78/26.99 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.78/26.99 (Eq % 26.78/26.99 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 23 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 26.78/26.99 (skS.0 25 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)) % 26.78/26.99 True)) % 26.78/26.99 Clause #257 (by clausification #[91]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.78/26.99 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.78/26.99 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.78/26.99 (Eq % 26.78/26.99 (And % 26.78/26.99 (And (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 22 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.87/27.02 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.87/27.02 (cP (skS.0 23 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 24 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.87/27.02 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 26.87/27.02 (cP (skS.0 25 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) % 26.87/27.02 (skS.0 26 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)))) % 26.87/27.02 True)) % 26.87/27.02 Clause #258 (by superposition #[256, 30]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 : a), % 26.87/27.02 Or % 26.87/27.02 (Eq (skS.0 5 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_4) % 26.87/27.02 (skS.0 6 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_4 a_5)) % 26.87/27.02 (Or (Eq (skS.0 5 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_4) c0) % 26.87/27.02 (Or (Eq True False) % 26.87/27.02 (Eq % 26.87/27.02 (skS.0 3 a_1 a_6 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_7) (skS.0 23 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9) % 26.87/27.02 (skS.0 25 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10 a_11)) % 26.87/27.02 True))) % 26.87/27.02 Clause #260 (by betaEtaReduce #[258]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 : a), % 26.87/27.02 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.87/27.02 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.87/27.02 (Or (Eq True False) % 26.87/27.02 (Eq % 26.87/27.02 (skS.0 3 a_1 a_6 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_7) (skS.0 23 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9) % 26.87/27.02 (skS.0 25 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10 a_11)) % 26.87/27.02 True))) % 26.87/27.02 Clause #261 (by clausification #[260]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 : a), % 26.87/27.02 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.87/27.02 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.87/27.02 (Eq % 26.87/27.02 (skS.0 3 a_1 a_6 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_7) (skS.0 23 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9) % 26.87/27.02 (skS.0 25 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10 a_11)) % 26.87/27.02 True)) % 26.87/27.02 Clause #276 (by clausification #[257]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.87/27.02 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.87/27.02 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.87/27.02 (Eq % 26.87/27.02 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 26.87/27.02 (cP (skS.0 25 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) % 26.87/27.02 (skS.0 26 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11))) % 26.87/27.02 True)) % 26.87/27.02 Clause #277 (by clausification #[257]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 26.87/27.02 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.87/27.02 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.87/27.02 (Eq % 26.87/27.02 (And (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 22 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.87/27.02 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.87/27.02 (cP (skS.0 23 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 24 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.87/27.02 True)) % 26.87/27.02 Clause #278 (by clausification #[276]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.87/27.02 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.87/27.02 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.87/27.02 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 26.87/27.02 (cP (skS.0 25 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) % 26.87/27.02 (skS.0 26 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)))) % 26.87/27.02 Clause #279 (by clausification #[277]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 26.87/27.02 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.87/27.02 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.87/27.02 (Eq % 26.87/27.02 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.87/27.02 (cP (skS.0 23 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 24 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))) % 26.87/27.02 True)) % 26.87/27.02 Clause #280 (by clausification #[277]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 26.87/27.02 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.87/27.02 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.87/27.02 (Eq (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 22 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.87/27.02 True)) % 26.87/27.02 Clause #281 (by clausification #[279]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 26.87/27.04 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.87/27.04 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.87/27.04 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.87/27.04 (cP (skS.0 23 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 24 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.87/27.04 Clause #284 (by clausification #[280]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 26.87/27.04 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.87/27.04 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.87/27.04 (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 22 a_1 a_2 a_3 a_4 a_5 a_6 a_7)))) % 26.87/27.04 Clause #294 (by clausification #[114]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : a), % 26.87/27.04 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.87/27.04 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.87/27.04 (Eq % 26.87/27.04 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 33 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 26.87/27.04 (skS.0 35 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)) % 26.87/27.04 True)) % 26.87/27.04 Clause #295 (by clausification #[114]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.87/27.04 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.87/27.04 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.87/27.04 (Eq % 26.87/27.04 (And % 26.87/27.04 (And (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.87/27.04 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.87/27.04 (cP (skS.0 33 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 34 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.87/27.04 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 26.87/27.04 (cP (skS.0 35 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) % 26.87/27.04 (skS.0 36 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)))) % 26.87/27.04 True)) % 26.87/27.04 Clause #296 (by superposition #[294, 30]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 : a), % 26.87/27.04 Or (Eq (skS.0 4 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3) c0) % 26.87/27.04 (Or % 26.87/27.04 (Eq (skS.0 4 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3) (skS.0 6 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_4 a_5)) % 26.87/27.04 (Or (Eq True False) % 26.87/27.04 (Eq % 26.87/27.04 (skS.0 3 a_1 a_6 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_7) (skS.0 33 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9) % 26.87/27.04 (skS.0 35 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10 a_11)) % 26.87/27.04 True))) % 26.87/27.04 Clause #297 (by betaEtaReduce #[296]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 : a), % 26.87/27.04 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.87/27.04 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.87/27.04 (Or (Eq True False) % 26.87/27.04 (Eq % 26.87/27.04 (skS.0 3 a_1 a_6 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_7) (skS.0 33 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9) % 26.87/27.04 (skS.0 35 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10 a_11)) % 26.87/27.04 True))) % 26.87/27.04 Clause #298 (by clausification #[297]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 : a), % 26.87/27.04 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.87/27.04 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.87/27.04 (Eq % 26.87/27.04 (skS.0 3 a_1 a_6 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_7) (skS.0 33 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9) % 26.87/27.04 (skS.0 35 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 a_10 a_11)) % 26.87/27.04 True)) % 26.87/27.04 Clause #315 (by clausification #[295]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.87/27.04 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.87/27.04 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.87/27.04 (Eq % 26.87/27.04 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 26.87/27.04 (cP (skS.0 35 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) % 26.87/27.04 (skS.0 36 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11))) % 26.87/27.04 True)) % 26.87/27.04 Clause #316 (by clausification #[295]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 26.87/27.04 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.87/27.04 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.87/27.04 (Eq % 26.87/27.04 (And (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.87/27.04 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.87/27.04 (cP (skS.0 33 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 34 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.87/27.07 True)) % 26.87/27.07 Clause #317 (by clausification #[315]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.87/27.07 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.87/27.07 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.87/27.07 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 26.87/27.07 (cP (skS.0 35 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) % 26.87/27.07 (skS.0 36 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)))) % 26.87/27.07 Clause #318 (by clausification #[316]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 26.87/27.07 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.87/27.07 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.87/27.07 (Eq % 26.87/27.07 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.87/27.07 (cP (skS.0 33 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 34 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))) % 26.87/27.07 True)) % 26.87/27.07 Clause #319 (by clausification #[316]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 26.87/27.07 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.87/27.07 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.87/27.07 (Eq (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.87/27.07 True)) % 26.87/27.07 Clause #320 (by clausification #[318]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 26.87/27.07 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.87/27.07 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.87/27.07 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.87/27.07 (cP (skS.0 33 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 34 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.87/27.07 Clause #321 (by clausification #[319]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 26.87/27.07 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.87/27.07 (Or (Eq (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.87/27.07 (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_6 a_7)))) % 26.87/27.07 Clause #322 (by clausification #[152]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : a), % 26.87/27.07 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.87/27.07 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.87/27.07 (Eq % 26.87/27.07 (skS.0 1 a_1 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 38 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) % 26.87/27.07 (skS.0 40 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10)) % 26.87/27.07 True)) % 26.87/27.07 Clause #323 (by clausification #[152]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.87/27.07 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.87/27.07 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.87/27.07 (Eq % 26.87/27.07 (And % 26.87/27.07 (And (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 37 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.87/27.07 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.87/27.07 (cP (skS.0 38 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 39 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.87/27.07 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 26.87/27.07 (cP (skS.0 40 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) % 26.87/27.07 (skS.0 41 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)))) % 26.87/27.07 True)) % 26.87/27.07 Clause #324 (by superposition #[322, 30]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) (a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.87/27.07 Or (Eq (skS.0 4 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3) c0) % 26.87/27.07 (Or (Eq (skS.0 5 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_4) c0) % 26.87/27.07 (Or (Eq True False) % 26.87/27.07 (Eq % 26.87/27.07 (skS.0 3 a_1 a_5 (skS.0 7 a_1 a_2 a_3 a_4 a_6 a_7) (skS.0 38 a_1 a_2 a_3 a_4 a_6 a_7 a_8 a_9) % 26.87/27.07 (skS.0 40 a_1 a_2 a_3 a_4 a_6 a_7 a_8 a_9 a_10 a_11)) % 26.87/27.07 True))) % 26.87/27.07 Clause #325 (by betaEtaReduce #[324]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) (a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.87/27.07 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.87/27.07 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.87/27.07 (Or (Eq True False) % 26.87/27.07 (Eq % 26.87/27.07 (skS.0 3 a_1 a_5 (skS.0 7 a_1 a_2 a_3 a_4 a_6 a_7) (skS.0 38 a_1 a_2 a_3 a_4 a_6 a_7 a_8 a_9) % 26.87/27.07 (skS.0 40 a_1 a_2 a_3 a_4 a_6 a_7 a_8 a_9 a_10 a_11)) % 26.87/27.07 True))) % 26.87/27.07 Clause #326 (by clausification #[325]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) (a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.87/27.07 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.94/27.10 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.94/27.10 (Eq % 26.94/27.10 (skS.0 3 a_1 a_5 (skS.0 7 a_1 a_2 a_3 a_4 a_6 a_7) (skS.0 38 a_1 a_2 a_3 a_4 a_6 a_7 a_8 a_9) % 26.94/27.10 (skS.0 40 a_1 a_2 a_3 a_4 a_6 a_7 a_8 a_9 a_10 a_11)) % 26.94/27.10 True)) % 26.94/27.10 Clause #328 (by superposition #[326, 164]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) (a_6 a_7 : a) (a_8 : a → a → a → Prop) % 26.94/27.10 (a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24 : a), % 26.94/27.10 Or (Eq (skS.0 4 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3) c0) % 26.94/27.10 (Or (Eq (skS.0 5 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_4) c0) % 26.94/27.10 (Or (Eq (skS.0 4 a_1 a_5 a_6) c0) % 26.94/27.10 (Or (Eq (skS.0 5 a_1 a_5 a_6 a_7) c0) % 26.94/27.10 (Or (Eq True False) % 26.94/27.10 (Or % 26.94/27.10 (Ne (skS.0 6 a_1 a_8 a_9 a_10 a_11) % 26.94/27.10 (cP (skS.0 40 a_1 a_2 a_3 a_4 a_12 a_13 a_14 a_15 a_16 a_17) % 26.94/27.10 (skS.0 41 a_1 a_5 a_6 a_7 a_18 a_19 a_20 a_21 a_22 a_23 a_24))) % 26.94/27.10 (Or % 26.94/27.10 (Ne (skS.0 4 a_1 a_8 a_9) % 26.94/27.10 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_12 a_13) (skS.0 37 a_1 a_5 a_6 a_7 a_18 a_19 a_20))) % 26.94/27.10 (Ne (skS.0 5 a_1 a_8 a_9 a_10) % 26.94/27.10 (cP (skS.0 38 a_1 a_2 a_3 a_4 a_12 a_13 a_14 a_15) % 26.94/27.10 (skS.0 39 a_1 a_5 a_6 a_7 a_18 a_19 a_20 a_21 a_22))))))))) % 26.94/27.10 Clause #345 (by clausification #[323]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.94/27.10 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.94/27.10 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.94/27.10 (Eq % 26.94/27.10 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 26.94/27.10 (cP (skS.0 40 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) % 26.94/27.10 (skS.0 41 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11))) % 26.94/27.10 True)) % 26.94/27.10 Clause #346 (by clausification #[323]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 26.94/27.10 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.94/27.10 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.94/27.10 (Eq % 26.94/27.10 (And (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 37 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.94/27.10 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.94/27.10 (cP (skS.0 38 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 39 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.94/27.10 True)) % 26.94/27.10 Clause #347 (by clausification #[345]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.94/27.10 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.94/27.10 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.94/27.10 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 26.94/27.10 (cP (skS.0 40 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) % 26.94/27.10 (skS.0 41 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)))) % 26.94/27.10 Clause #348 (by clausification #[346]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 26.94/27.10 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.94/27.10 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.94/27.10 (Eq % 26.94/27.10 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.94/27.10 (cP (skS.0 38 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 39 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))) % 26.94/27.10 True)) % 26.94/27.10 Clause #349 (by clausification #[346]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 26.94/27.10 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.94/27.10 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.94/27.10 (Eq (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 37 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.94/27.10 True)) % 26.94/27.10 Clause #350 (by clausification #[348]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 26.94/27.10 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.94/27.10 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.94/27.10 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.94/27.10 (cP (skS.0 38 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 39 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.94/27.10 Clause #351 (by clausification #[349]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 26.94/27.10 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.94/27.10 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.94/27.10 (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 37 a_1 a_2 a_3 a_4 a_5 a_6 a_7)))) % 26.94/27.10 Clause #354 (by betaEtaReduce #[328]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) (a_6 a_7 : a) (a_8 : a → a → a → Prop) % 26.94/27.10 (a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24 : a), % 26.94/27.13 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.94/27.13 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.94/27.13 (Or (Eq (skS.0 4 a_1 a_5 a_6) c0) % 26.94/27.13 (Or (Eq (skS.0 5 a_1 a_5 a_6 a_7) c0) % 26.94/27.13 (Or (Eq True False) % 26.94/27.13 (Or % 26.94/27.13 (Ne (skS.0 6 a_1 a_8 a_9 a_10 a_11) % 26.94/27.13 (cP (skS.0 40 a_1 a_2 a_3 a_4 a_12 a_13 a_14 a_15 a_16 a_17) % 26.94/27.13 (skS.0 41 a_1 a_5 a_6 a_7 a_18 a_19 a_20 a_21 a_22 a_23 a_24))) % 26.94/27.13 (Or % 26.94/27.13 (Ne (skS.0 4 a_1 a_8 a_9) % 26.94/27.13 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_12 a_13) (skS.0 37 a_1 a_5 a_6 a_7 a_18 a_19 a_20))) % 26.94/27.13 (Ne (skS.0 5 a_1 a_8 a_9 a_10) % 26.94/27.13 (cP (skS.0 38 a_1 a_2 a_3 a_4 a_12 a_13 a_14 a_15) % 26.94/27.13 (skS.0 39 a_1 a_5 a_6 a_7 a_18 a_19 a_20 a_21 a_22))))))))) % 26.94/27.13 Clause #355 (by clausification #[354]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) (a_6 a_7 : a) (a_8 : a → a → a → Prop) % 26.94/27.13 (a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24 : a), % 26.94/27.13 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.94/27.13 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.94/27.13 (Or (Eq (skS.0 4 a_1 a_5 a_6) c0) % 26.94/27.13 (Or (Eq (skS.0 5 a_1 a_5 a_6 a_7) c0) % 26.94/27.13 (Or % 26.94/27.13 (Ne (skS.0 6 a_1 a_8 a_9 a_10 a_11) % 26.94/27.13 (cP (skS.0 40 a_1 a_2 a_3 a_4 a_12 a_13 a_14 a_15 a_16 a_17) % 26.94/27.13 (skS.0 41 a_1 a_5 a_6 a_7 a_18 a_19 a_20 a_21 a_22 a_23 a_24))) % 26.94/27.13 (Or % 26.94/27.13 (Ne (skS.0 4 a_1 a_8 a_9) % 26.94/27.13 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_12 a_13) (skS.0 37 a_1 a_5 a_6 a_7 a_18 a_19 a_20))) % 26.94/27.13 (Ne (skS.0 5 a_1 a_8 a_9 a_10) % 26.94/27.13 (cP (skS.0 38 a_1 a_2 a_3 a_4 a_12 a_13 a_14 a_15) % 26.94/27.13 (skS.0 39 a_1 a_5 a_6 a_7 a_18 a_19 a_20 a_21 a_22)))))))) % 26.94/27.13 Clause #356 (by superposition #[355, 347]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) (a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 : a), % 26.94/27.13 Or (Eq (skS.0 4 (fun x x_1 x_2 => a_1 x x_1 x_2) (fun x x_1 x_2 => a_2 x x_1 x_2) a_3) c0) % 26.94/27.13 (Or (Eq (skS.0 5 (fun x x_1 x_2 => a_1 x x_1 x_2) (fun x x_1 x_2 => a_2 x x_1 x_2) a_3 a_4) c0) % 26.94/27.13 (Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.94/27.13 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.94/27.13 (Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.94/27.13 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.94/27.13 (Or (Ne (skS.0 6 a_1 a_5 a_6 a_7 a_8) (skS.0 6 a_1 a_2 a_3 a_4 a_9)) % 26.94/27.13 (Or % 26.94/27.13 (Ne (skS.0 4 a_1 a_5 a_6) % 26.94/27.13 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_9 a_10) (skS.0 37 a_1 a_2 a_3 a_4 a_9 a_10 a_11))) % 26.94/27.13 (Ne (skS.0 5 a_1 a_5 a_6 a_7) % 26.94/27.13 (cP (skS.0 38 a_1 a_2 a_3 a_4 a_9 a_10 a_11 a_12) % 26.94/27.13 (skS.0 39 a_1 a_2 a_3 a_4 a_9 a_10 a_11 a_12 a_13)))))))))) % 26.94/27.13 Clause #357 (by betaEtaReduce #[356]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) (a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 : a), % 26.94/27.13 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.94/27.13 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.94/27.13 (Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.94/27.13 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.94/27.13 (Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.94/27.13 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.94/27.13 (Or (Ne (skS.0 6 a_1 a_5 a_6 a_7 a_8) (skS.0 6 a_1 a_2 a_3 a_4 a_9)) % 26.94/27.13 (Or % 26.94/27.13 (Ne (skS.0 4 a_1 a_5 a_6) % 26.94/27.13 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_9 a_10) (skS.0 37 a_1 a_2 a_3 a_4 a_9 a_10 a_11))) % 26.94/27.13 (Ne (skS.0 5 a_1 a_5 a_6 a_7) % 26.94/27.13 (cP (skS.0 38 a_1 a_2 a_3 a_4 a_9 a_10 a_11 a_12) % 26.94/27.13 (skS.0 39 a_1 a_2 a_3 a_4 a_9 a_10 a_11 a_12 a_13)))))))))) % 26.94/27.13 Clause #358 (by eliminate duplicate literals #[357]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) (a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 : a), % 26.94/27.13 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.94/27.13 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.94/27.13 (Or (Ne (skS.0 6 a_1 a_5 a_6 a_7 a_8) (skS.0 6 a_1 a_2 a_3 a_4 a_9)) % 26.94/27.13 (Or (Ne (skS.0 4 a_1 a_5 a_6) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_9 a_10) (skS.0 37 a_1 a_2 a_3 a_4 a_9 a_10 a_11))) % 26.94/27.15 (Ne (skS.0 5 a_1 a_5 a_6 a_7) % 26.94/27.15 (cP (skS.0 38 a_1 a_2 a_3 a_4 a_9 a_10 a_11 a_12) (skS.0 39 a_1 a_2 a_3 a_4 a_9 a_10 a_11 a_12 a_13)))))) % 26.94/27.15 Clause #359 (by equality resolution #[358]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 26.94/27.15 Or (Eq (skS.0 4 a_1 (fun x x_1 x_2 => a_2 x x_1 x_2) a_3) c0) % 26.94/27.15 (Or (Eq (skS.0 5 a_1 (fun x x_1 x_2 => a_2 x x_1 x_2) a_3 a_4) c0) % 26.94/27.15 (Or % 26.94/27.15 (Ne (skS.0 4 a_1 a_2 a_3) % 26.94/27.15 (cP (skS.0 7 a_1 (fun x x_1 x_2 => a_2 x x_1 x_2) a_3 a_4 a_5 a_6) % 26.94/27.15 (skS.0 37 a_1 (fun x x_1 x_2 => a_2 x x_1 x_2) a_3 a_4 a_5 a_6 a_7))) % 26.94/27.15 (Ne (skS.0 5 a_1 a_2 a_3 a_4) % 26.94/27.15 (cP (skS.0 38 a_1 (fun x x_1 x_2 => a_2 x x_1 x_2) a_3 a_4 a_5 a_6 a_7 a_8) % 26.94/27.15 (skS.0 39 a_1 (fun x x_1 x_2 => a_2 x x_1 x_2) a_3 a_4 a_5 a_6 a_7 a_8 a_9))))) % 26.94/27.15 Clause #360 (by betaEtaReduce #[359]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 26.94/27.15 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.94/27.15 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.94/27.15 (Or (Ne (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 37 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.94/27.15 (Ne (skS.0 5 a_1 a_2 a_3 a_4) % 26.94/27.15 (cP (skS.0 38 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 39 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))))) % 26.94/27.15 Clause #361 (by forward contextual literal cutting #[360, 351]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 26.94/27.15 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.94/27.15 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.94/27.15 (Ne (skS.0 5 a_1 a_2 a_3 a_4) % 26.94/27.15 (cP (skS.0 38 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 39 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 26.94/27.15 Clause #362 (by forward contextual literal cutting #[361, 350]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a), Or (Eq (skS.0 4 a_1 a_2 a_3) c0) (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 26.94/27.15 Clause #363 (by superposition #[362, 137]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a), % 26.94/27.15 Or (Eq (skS.0 4 (fun x x_1 x_2 => a_1 x x_1 x_2) (fun x x_1 x_2 => a_2 x x_1 x_2) a_3) c0) % 26.94/27.15 (Or (Ne c0 c0) (Ne (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5))) % 26.94/27.15 Clause #364 (by betaEtaReduce #[363]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a), % 26.94/27.15 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) (Or (Ne c0 c0) (Ne (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5))) % 26.94/27.15 Clause #365 (by eliminate resolved literals #[364]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a), % 26.94/27.15 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) (Ne (skS.0 4 a_1 a_2 a_3) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 26.94/27.15 Clause #368 (by backward contextual literal cutting #[365, 317]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.94/27.15 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.94/27.15 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 26.94/27.15 (cP (skS.0 35 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) (skS.0 36 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11))) % 26.94/27.15 Clause #370 (by backward contextual literal cutting #[365, 298]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 : a) (a_4 : a → a → a → Prop) (a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 26.94/27.15 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.94/27.15 (Eq % 26.94/27.15 (skS.0 3 a_1 a_4 (skS.0 7 a_1 a_2 a_3 a_5 a_6 a_7) (skS.0 33 a_1 a_2 a_3 a_5 a_6 a_7 a_8 a_9) % 26.94/27.15 (skS.0 35 a_1 a_2 a_3 a_5 a_6 a_7 a_8 a_9 a_10 a_11)) % 26.94/27.15 True) % 26.94/27.15 Clause #371 (by backward contextual literal cutting #[365, 320]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 26.94/27.15 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.94/27.15 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 26.94/27.15 (cP (skS.0 33 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 34 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))) % 26.94/27.15 Clause #372 (by backward contextual literal cutting #[365, 321]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 26.94/27.15 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 26.94/27.15 (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 26.94/27.15 Clause #373 (by backward contextual literal cutting #[365, 171]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 : a) (a_4 : a → a → a → Prop) % 26.94/27.15 (a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18 : a), % 26.94/27.15 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 27.03/27.18 (Or (Eq (skS.0 3 a_1 a_4 a_5 a_6 a_7) False) % 27.03/27.18 (Or (Ne (skS.0 6 a_1 a_4 a_8 a_9 a_10) (cP a_7 (skS.0 36 a_1 a_2 a_3 a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18))) % 27.03/27.18 (Or (Ne (skS.0 4 a_1 a_4 a_8) (cP a_5 (skS.0 32 a_1 a_2 a_3 a_11 a_12 a_13 a_14))) % 27.03/27.18 (Ne (skS.0 5 a_1 a_4 a_8 a_9) (cP a_6 (skS.0 34 a_1 a_2 a_3 a_11 a_12 a_13 a_14 a_15 a_16)))))) % 27.03/27.18 Clause #403 (by superposition #[373, 370]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 : a) (a_4 : a → a → a → Prop) (a_5 a_6 a_7 : a) (a_8 : a → a → a → Prop) % 27.03/27.18 (a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24 : a), % 27.03/27.18 Or (Eq (skS.0 4 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3) c0) % 27.03/27.18 (Or % 27.03/27.18 (Ne (skS.0 6 (fun x x_1 x_2 => a_1 x x_1 x_2) (fun x x_1 x_2 => a_4 x x_1 x_2) a_5 a_6 a_7) % 27.03/27.18 (cP (skS.0 35 a_1 a_8 a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16) % 27.03/27.18 (skS.0 36 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24))) % 27.03/27.18 (Or % 27.03/27.18 (Ne (skS.0 4 (fun x x_1 x_2 => a_1 x x_1 x_2) (fun x x_1 x_2 => a_4 x x_1 x_2) a_5) % 27.03/27.18 (cP (skS.0 7 a_1 a_8 a_9 a_10 a_11 a_12) % 27.03/27.18 (skS.0 32 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_17 a_18 a_19 a_20))) % 27.03/27.18 (Or % 27.03/27.18 (Ne (skS.0 5 (fun x x_1 x_2 => a_1 x x_1 x_2) (fun x x_1 x_2 => a_4 x x_1 x_2) a_5 a_6) % 27.03/27.18 (cP (skS.0 33 a_1 a_8 a_9 a_10 a_11 a_12 a_13 a_14) % 27.03/27.18 (skS.0 34 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_17 a_18 a_19 a_20 a_21 a_22))) % 27.03/27.18 (Or (Eq (skS.0 4 a_1 a_8 a_9) c0) (Eq False True))))) % 27.03/27.18 Clause #450 (by betaEtaReduce #[403]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 : a) (a_4 : a → a → a → Prop) (a_5 a_6 a_7 : a) (a_8 : a → a → a → Prop) % 27.03/27.18 (a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24 : a), % 27.03/27.18 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 27.03/27.18 (Or % 27.03/27.18 (Ne (skS.0 6 a_1 a_4 a_5 a_6 a_7) % 27.03/27.18 (cP (skS.0 35 a_1 a_8 a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16) % 27.03/27.18 (skS.0 36 a_1 a_2 a_3 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24))) % 27.03/27.18 (Or % 27.03/27.18 (Ne (skS.0 4 a_1 a_4 a_5) (cP (skS.0 7 a_1 a_8 a_9 a_10 a_11 a_12) (skS.0 32 a_1 a_2 a_3 a_17 a_18 a_19 a_20))) % 27.03/27.18 (Or % 27.03/27.18 (Ne (skS.0 5 a_1 a_4 a_5 a_6) % 27.03/27.18 (cP (skS.0 33 a_1 a_8 a_9 a_10 a_11 a_12 a_13 a_14) (skS.0 34 a_1 a_2 a_3 a_17 a_18 a_19 a_20 a_21 a_22))) % 27.03/27.18 (Or (Eq (skS.0 4 a_1 a_8 a_9) c0) (Eq False True))))) % 27.03/27.18 Clause #451 (by clausification #[450]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 : a) (a_4 : a → a → a → Prop) (a_5 a_6 a_7 : a) (a_8 : a → a → a → Prop) % 27.03/27.18 (a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24 : a), % 27.03/27.18 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 27.03/27.18 (Or % 27.03/27.18 (Ne (skS.0 6 a_1 a_4 a_5 a_6 a_7) % 27.03/27.18 (cP (skS.0 35 a_1 a_8 a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16) % 27.03/27.18 (skS.0 36 a_1 a_2 a_3 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24))) % 27.03/27.18 (Or % 27.03/27.18 (Ne (skS.0 4 a_1 a_4 a_5) (cP (skS.0 7 a_1 a_8 a_9 a_10 a_11 a_12) (skS.0 32 a_1 a_2 a_3 a_17 a_18 a_19 a_20))) % 27.03/27.18 (Or % 27.03/27.18 (Ne (skS.0 5 a_1 a_4 a_5 a_6) % 27.03/27.18 (cP (skS.0 33 a_1 a_8 a_9 a_10 a_11 a_12 a_13 a_14) (skS.0 34 a_1 a_2 a_3 a_17 a_18 a_19 a_20 a_21 a_22))) % 27.03/27.18 (Eq (skS.0 4 a_1 a_8 a_9) c0)))) % 27.03/27.18 Clause #452 (by superposition #[451, 368]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 : a) (a_4 : a → a → a → Prop) (a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 : a), % 27.03/27.18 Or (Eq (skS.0 4 (fun x x_1 x_2 => a_1 x x_1 x_2) (fun x x_1 x_2 => a_2 x x_1 x_2) a_3) c0) % 27.03/27.18 (Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 27.03/27.18 (Or (Ne (skS.0 6 a_1 a_4 a_5 a_6 a_7) (skS.0 6 a_1 a_2 a_3 a_8 a_9)) % 27.03/27.18 (Or (Ne (skS.0 4 a_1 a_4 a_5) (cP (skS.0 7 a_1 a_2 a_3 a_8 a_9 a_10) (skS.0 32 a_1 a_2 a_3 a_8 a_9 a_10 a_11))) % 27.03/27.18 (Or % 27.03/27.18 (Ne (skS.0 5 a_1 a_4 a_5 a_6) % 27.03/27.18 (cP (skS.0 33 a_1 a_2 a_3 a_8 a_9 a_10 a_11 a_12) (skS.0 34 a_1 a_2 a_3 a_8 a_9 a_10 a_11 a_12 a_13))) % 27.03/27.18 (Eq (skS.0 4 a_1 a_2 a_3) c0))))) % 27.03/27.18 Clause #453 (by betaEtaReduce #[452]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 : a) (a_4 : a → a → a → Prop) (a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 : a), % 27.06/27.21 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 27.06/27.21 (Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 27.06/27.21 (Or (Ne (skS.0 6 a_1 a_4 a_5 a_6 a_7) (skS.0 6 a_1 a_2 a_3 a_8 a_9)) % 27.06/27.21 (Or (Ne (skS.0 4 a_1 a_4 a_5) (cP (skS.0 7 a_1 a_2 a_3 a_8 a_9 a_10) (skS.0 32 a_1 a_2 a_3 a_8 a_9 a_10 a_11))) % 27.06/27.21 (Or % 27.06/27.21 (Ne (skS.0 5 a_1 a_4 a_5 a_6) % 27.06/27.21 (cP (skS.0 33 a_1 a_2 a_3 a_8 a_9 a_10 a_11 a_12) (skS.0 34 a_1 a_2 a_3 a_8 a_9 a_10 a_11 a_12 a_13))) % 27.06/27.21 (Eq (skS.0 4 a_1 a_2 a_3) c0))))) % 27.06/27.21 Clause #454 (by eliminate duplicate literals #[453]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 : a) (a_4 : a → a → a → Prop) (a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 : a), % 27.06/27.21 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 27.06/27.21 (Or (Ne (skS.0 6 a_1 a_4 a_5 a_6 a_7) (skS.0 6 a_1 a_2 a_3 a_8 a_9)) % 27.06/27.21 (Or (Ne (skS.0 4 a_1 a_4 a_5) (cP (skS.0 7 a_1 a_2 a_3 a_8 a_9 a_10) (skS.0 32 a_1 a_2 a_3 a_8 a_9 a_10 a_11))) % 27.06/27.21 (Ne (skS.0 5 a_1 a_4 a_5 a_6) % 27.06/27.21 (cP (skS.0 33 a_1 a_2 a_3 a_8 a_9 a_10 a_11 a_12) (skS.0 34 a_1 a_2 a_3 a_8 a_9 a_10 a_11 a_12 a_13))))) % 27.06/27.21 Clause #455 (by equality resolution #[454]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 27.06/27.21 Or (Eq (skS.0 4 a_1 (fun x x_1 x_2 => a_2 x x_1 x_2) a_3) c0) % 27.06/27.21 (Or % 27.06/27.21 (Ne (skS.0 4 a_1 a_2 a_3) % 27.06/27.21 (cP (skS.0 7 a_1 (fun x x_1 x_2 => a_2 x x_1 x_2) a_3 a_4 a_5 a_6) % 27.06/27.21 (skS.0 32 a_1 (fun x x_1 x_2 => a_2 x x_1 x_2) a_3 a_4 a_5 a_6 a_7))) % 27.06/27.21 (Ne (skS.0 5 a_1 a_2 a_3 a_4) % 27.06/27.21 (cP (skS.0 33 a_1 (fun x x_1 x_2 => a_2 x x_1 x_2) a_3 a_4 a_5 a_6 a_7 a_8) % 27.06/27.21 (skS.0 34 a_1 (fun x x_1 x_2 => a_2 x x_1 x_2) a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 27.06/27.21 Clause #459 (by betaEtaReduce #[455]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 27.06/27.21 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 27.06/27.21 (Or (Ne (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 32 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 27.06/27.21 (Ne (skS.0 5 a_1 a_2 a_3 a_4) % 27.06/27.21 (cP (skS.0 33 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 34 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 27.06/27.21 Clause #460 (by forward contextual literal cutting #[459, 372]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 27.06/27.21 Or (Eq (skS.0 4 a_1 a_2 a_3) c0) % 27.06/27.21 (Ne (skS.0 5 a_1 a_2 a_3 a_4) % 27.06/27.21 (cP (skS.0 33 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 34 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))) % 27.06/27.21 Clause #461 (by forward contextual literal cutting #[460, 371]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 : a), Eq (skS.0 4 a_1 a_2 a_3) c0 % 27.06/27.21 Clause #464 (by backward demodulation #[461, 130]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 27.06/27.21 Or (Eq (skS.0 3 a_1 a_2 a_3 a_4 a_5) False) % 27.06/27.21 (Or (Eq (skS.0 3 a_1 a_2 a_6 a_7 a_8) False) % 27.06/27.21 (Or (Ne (skS.0 6 a_1 a_2 a_9 a_10 a_11) (cP a_8 a_5)) % 27.06/27.21 (Or (Ne c0 (cP a_6 a_3)) (Ne (skS.0 5 a_1 a_2 a_9 a_10) (cP a_7 a_4))))) % 27.06/27.21 Clause #472 (by backward demodulation #[461, 245]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 27.06/27.21 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 27.06/27.21 (Or (Eq c0 (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 27.06/27.21 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 27.06/27.21 (cP (skS.0 11 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) % 27.06/27.21 (skS.0 12 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)))) % 27.06/27.21 Clause #473 (by backward demodulation #[461, 248]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 27.06/27.21 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 27.06/27.21 (Or (Eq c0 (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 27.06/27.21 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 27.06/27.21 (cP (skS.0 9 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 10 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 27.06/27.21 Clause #474 (by backward demodulation #[461, 249]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 27.06/27.21 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 27.06/27.21 (Or (Eq c0 (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 27.06/27.21 (Eq (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7)))) % 27.06/27.21 Clause #476 (by backward demodulation #[461, 284]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 27.08/27.24 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 27.08/27.24 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 27.08/27.24 (Eq c0 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 22 a_1 a_2 a_3 a_4 a_5 a_6 a_7)))) % 27.08/27.24 Clause #503 (by backward contextual literal cutting #[461, 140]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a), Ne (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 27.08/27.24 Clause #505 (by backward contextual literal cutting #[503, 94]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) (a_6 a_7 a_8 a_9 a_10 a_11 a_12 : a), % 27.08/27.24 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 27.08/27.24 (Eq % 27.08/27.24 (skS.0 3 a_1 a_5 (skS.0 22 a_1 a_2 a_3 a_4 a_6 a_7 a_8) (skS.0 24 a_1 a_2 a_3 a_4 a_6 a_7 a_8 a_9 a_10) % 27.08/27.24 (skS.0 26 a_1 a_2 a_3 a_4 a_6 a_7 a_8 a_9 a_10 a_11 a_12)) % 27.08/27.24 True) % 27.08/27.24 Clause #506 (by backward contextual literal cutting #[503, 261]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) (a_6 a_7 a_8 a_9 a_10 a_11 : a), % 27.08/27.24 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 27.08/27.24 (Eq % 27.08/27.24 (skS.0 3 a_1 a_5 (skS.0 7 a_1 a_2 a_3 a_4 a_6 a_7) (skS.0 23 a_1 a_2 a_3 a_4 a_6 a_7 a_8 a_9) % 27.08/27.24 (skS.0 25 a_1 a_2 a_3 a_4 a_6 a_7 a_8 a_9 a_10 a_11)) % 27.08/27.24 True) % 27.08/27.24 Clause #508 (by backward contextual literal cutting #[503, 278]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 27.08/27.24 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 27.08/27.24 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 27.08/27.24 (cP (skS.0 25 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) (skS.0 26 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11))) % 27.08/27.24 Clause #509 (by backward contextual literal cutting #[503, 281]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 27.08/27.24 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 27.08/27.24 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 27.08/27.24 (cP (skS.0 23 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 24 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))) % 27.08/27.24 Clause #516 (by forward contextual literal cutting #[476, 503]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 27.08/27.24 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 27.08/27.24 (Eq c0 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 22 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 27.08/27.24 Clause #521 (by forward demodulation #[474, 461]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 27.08/27.24 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 27.08/27.24 (Or (Eq c0 (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 27.08/27.24 (Eq c0 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7)))) % 27.08/27.24 Clause #522 (by forward contextual literal cutting #[521, 503]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 27.08/27.24 Or (Eq c0 (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 27.08/27.24 (Eq c0 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7))) % 27.08/27.24 Clause #526 (by superposition #[505, 464]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) % 27.08/27.24 (a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18 : a), % 27.08/27.24 Or (Eq (skS.0 5 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_4) c0) % 27.08/27.24 (Or (Eq True False) % 27.08/27.24 (Or (Eq (skS.0 3 a_1 a_5 a_6 a_7 a_8) False) % 27.08/27.24 (Or (Ne (skS.0 6 a_1 a_5 a_9 a_10 a_11) (cP a_8 (skS.0 26 a_1 a_2 a_3 a_4 a_12 a_13 a_14 a_15 a_16 a_17 a_18))) % 27.08/27.24 (Or (Ne c0 (cP a_6 (skS.0 22 a_1 a_2 a_3 a_4 a_12 a_13 a_14))) % 27.08/27.24 (Ne (skS.0 5 a_1 a_5 a_9 a_10) (cP a_7 (skS.0 24 a_1 a_2 a_3 a_4 a_12 a_13 a_14 a_15 a_16))))))) % 27.08/27.24 Clause #528 (by forward contextual literal cutting #[473, 503]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 27.08/27.24 Or (Eq c0 (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 27.08/27.24 (Eq (skS.0 5 a_1 a_2 a_3 a_4) % 27.08/27.24 (cP (skS.0 9 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 10 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))) % 27.08/27.24 Clause #537 (by forward contextual literal cutting #[472, 503]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 27.08/27.24 Or (Eq c0 (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 27.08/27.24 (Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 27.08/27.24 (cP (skS.0 11 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) (skS.0 12 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11))) % 27.08/27.24 Clause #574 (by betaEtaReduce #[526]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) % 27.08/27.26 (a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18 : a), % 27.08/27.26 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 27.08/27.26 (Or (Eq True False) % 27.08/27.26 (Or (Eq (skS.0 3 a_1 a_5 a_6 a_7 a_8) False) % 27.08/27.26 (Or (Ne (skS.0 6 a_1 a_5 a_9 a_10 a_11) (cP a_8 (skS.0 26 a_1 a_2 a_3 a_4 a_12 a_13 a_14 a_15 a_16 a_17 a_18))) % 27.08/27.26 (Or (Ne c0 (cP a_6 (skS.0 22 a_1 a_2 a_3 a_4 a_12 a_13 a_14))) % 27.08/27.26 (Ne (skS.0 5 a_1 a_5 a_9 a_10) (cP a_7 (skS.0 24 a_1 a_2 a_3 a_4 a_12 a_13 a_14 a_15 a_16))))))) % 27.08/27.26 Clause #575 (by clausification #[574]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) % 27.08/27.26 (a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18 : a), % 27.08/27.26 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 27.08/27.26 (Or (Eq (skS.0 3 a_1 a_5 a_6 a_7 a_8) False) % 27.08/27.26 (Or (Ne (skS.0 6 a_1 a_5 a_9 a_10 a_11) (cP a_8 (skS.0 26 a_1 a_2 a_3 a_4 a_12 a_13 a_14 a_15 a_16 a_17 a_18))) % 27.08/27.26 (Or (Ne c0 (cP a_6 (skS.0 22 a_1 a_2 a_3 a_4 a_12 a_13 a_14))) % 27.08/27.26 (Ne (skS.0 5 a_1 a_5 a_9 a_10) (cP a_7 (skS.0 24 a_1 a_2 a_3 a_4 a_12 a_13 a_14 a_15 a_16)))))) % 27.08/27.26 Clause #576 (by superposition #[575, 506]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) (a_6 a_7 a_8 : a) (a_9 : a → a → a → Prop) % 27.08/27.26 (a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24 : a), % 27.08/27.26 Or (Eq (skS.0 5 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_4) c0) % 27.08/27.26 (Or % 27.08/27.26 (Ne (skS.0 6 (fun x x_1 x_2 => a_1 x x_1 x_2) (fun x x_1 x_2 => a_5 x x_1 x_2) a_6 a_7 a_8) % 27.08/27.26 (cP (skS.0 25 a_1 a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17) % 27.08/27.26 (skS.0 26 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_4 a_18 a_19 a_20 a_21 a_22 a_23 a_24))) % 27.08/27.26 (Or % 27.08/27.26 (Ne c0 % 27.08/27.26 (cP (skS.0 7 a_1 a_9 a_10 a_11 a_12 a_13) % 27.08/27.26 (skS.0 22 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_4 a_18 a_19 a_20))) % 27.08/27.26 (Or % 27.08/27.26 (Ne (skS.0 5 (fun x x_1 x_2 => a_1 x x_1 x_2) (fun x x_1 x_2 => a_5 x x_1 x_2) a_6 a_7) % 27.08/27.26 (cP (skS.0 23 a_1 a_9 a_10 a_11 a_12 a_13 a_14 a_15) % 27.08/27.26 (skS.0 24 (fun x x_1 x_2 => a_1 x x_1 x_2) a_2 a_3 a_4 a_18 a_19 a_20 a_21 a_22))) % 27.08/27.26 (Or (Eq (skS.0 5 a_1 a_9 a_10 a_11) c0) (Eq False True))))) % 27.08/27.26 Clause #656 (by betaEtaReduce #[576]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) (a_6 a_7 a_8 : a) (a_9 : a → a → a → Prop) % 27.08/27.26 (a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24 : a), % 27.08/27.26 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 27.08/27.26 (Or % 27.08/27.26 (Ne (skS.0 6 a_1 a_5 a_6 a_7 a_8) % 27.08/27.26 (cP (skS.0 25 a_1 a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17) % 27.08/27.26 (skS.0 26 a_1 a_2 a_3 a_4 a_18 a_19 a_20 a_21 a_22 a_23 a_24))) % 27.08/27.26 (Or (Ne c0 (cP (skS.0 7 a_1 a_9 a_10 a_11 a_12 a_13) (skS.0 22 a_1 a_2 a_3 a_4 a_18 a_19 a_20))) % 27.08/27.26 (Or % 27.08/27.26 (Ne (skS.0 5 a_1 a_5 a_6 a_7) % 27.08/27.26 (cP (skS.0 23 a_1 a_9 a_10 a_11 a_12 a_13 a_14 a_15) (skS.0 24 a_1 a_2 a_3 a_4 a_18 a_19 a_20 a_21 a_22))) % 27.08/27.26 (Or (Eq (skS.0 5 a_1 a_9 a_10 a_11) c0) (Eq False True))))) % 27.08/27.26 Clause #657 (by clausification #[656]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) (a_6 a_7 a_8 : a) (a_9 : a → a → a → Prop) % 27.08/27.26 (a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24 : a), % 27.08/27.26 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 27.08/27.26 (Or % 27.08/27.26 (Ne (skS.0 6 a_1 a_5 a_6 a_7 a_8) % 27.08/27.26 (cP (skS.0 25 a_1 a_9 a_10 a_11 a_12 a_13 a_14 a_15 a_16 a_17) % 27.08/27.26 (skS.0 26 a_1 a_2 a_3 a_4 a_18 a_19 a_20 a_21 a_22 a_23 a_24))) % 27.08/27.26 (Or (Ne c0 (cP (skS.0 7 a_1 a_9 a_10 a_11 a_12 a_13) (skS.0 22 a_1 a_2 a_3 a_4 a_18 a_19 a_20))) % 27.08/27.26 (Or % 27.08/27.26 (Ne (skS.0 5 a_1 a_5 a_6 a_7) % 27.08/27.26 (cP (skS.0 23 a_1 a_9 a_10 a_11 a_12 a_13 a_14 a_15) (skS.0 24 a_1 a_2 a_3 a_4 a_18 a_19 a_20 a_21 a_22))) % 27.08/27.26 (Eq (skS.0 5 a_1 a_9 a_10 a_11) c0)))) % 27.08/27.26 Clause #658 (by superposition #[657, 508]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) (a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 : a), % 27.08/27.29 Or (Eq (skS.0 5 (fun x x_1 x_2 => a_1 x x_1 x_2) (fun x x_1 x_2 => a_2 x x_1 x_2) a_3 a_4) c0) % 27.08/27.29 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 27.08/27.29 (Or (Ne (skS.0 6 a_1 a_5 a_6 a_7 a_8) (skS.0 6 a_1 a_2 a_3 a_4 a_9)) % 27.08/27.29 (Or (Ne c0 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_9 a_10) (skS.0 22 a_1 a_2 a_3 a_4 a_9 a_10 a_11))) % 27.08/27.29 (Or % 27.08/27.29 (Ne (skS.0 5 a_1 a_5 a_6 a_7) % 27.08/27.29 (cP (skS.0 23 a_1 a_2 a_3 a_4 a_9 a_10 a_11 a_12) (skS.0 24 a_1 a_2 a_3 a_4 a_9 a_10 a_11 a_12 a_13))) % 27.08/27.29 (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0))))) % 27.08/27.29 Clause #659 (by betaEtaReduce #[658]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) (a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 : a), % 27.08/27.29 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 27.08/27.29 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 27.08/27.29 (Or (Ne (skS.0 6 a_1 a_5 a_6 a_7 a_8) (skS.0 6 a_1 a_2 a_3 a_4 a_9)) % 27.08/27.29 (Or (Ne c0 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_9 a_10) (skS.0 22 a_1 a_2 a_3 a_4 a_9 a_10 a_11))) % 27.08/27.29 (Or % 27.08/27.29 (Ne (skS.0 5 a_1 a_5 a_6 a_7) % 27.08/27.29 (cP (skS.0 23 a_1 a_2 a_3 a_4 a_9 a_10 a_11 a_12) (skS.0 24 a_1 a_2 a_3 a_4 a_9 a_10 a_11 a_12 a_13))) % 27.08/27.29 (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0))))) % 27.08/27.29 Clause #660 (by eliminate duplicate literals #[659]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) (a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 : a), % 27.08/27.29 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 27.08/27.29 (Or (Ne (skS.0 6 a_1 a_5 a_6 a_7 a_8) (skS.0 6 a_1 a_2 a_3 a_4 a_9)) % 27.08/27.29 (Or (Ne c0 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_9 a_10) (skS.0 22 a_1 a_2 a_3 a_4 a_9 a_10 a_11))) % 27.08/27.29 (Ne (skS.0 5 a_1 a_5 a_6 a_7) % 27.08/27.29 (cP (skS.0 23 a_1 a_2 a_3 a_4 a_9 a_10 a_11 a_12) (skS.0 24 a_1 a_2 a_3 a_4 a_9 a_10 a_11 a_12 a_13))))) % 27.08/27.29 Clause #661 (by forward contextual literal cutting #[660, 516]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a) (a_5 : a → a → a → Prop) (a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 : a), % 27.08/27.29 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 27.08/27.29 (Or (Ne (skS.0 6 a_1 a_5 a_6 a_7 a_8) (skS.0 6 a_1 a_2 a_3 a_4 a_9)) % 27.08/27.29 (Ne (skS.0 5 a_1 a_5 a_6 a_7) % 27.08/27.29 (cP (skS.0 23 a_1 a_2 a_3 a_4 a_9 a_10 a_11 a_12) (skS.0 24 a_1 a_2 a_3 a_4 a_9 a_10 a_11 a_12 a_13)))) % 27.08/27.29 Clause #662 (by equality resolution #[661]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 27.08/27.29 Or (Eq (skS.0 5 a_1 (fun x x_1 x_2 => a_2 x x_1 x_2) a_3 a_4) c0) % 27.08/27.29 (Ne (skS.0 5 a_1 a_2 a_3 a_4) % 27.08/27.29 (cP (skS.0 23 a_1 (fun x x_1 x_2 => a_2 x x_1 x_2) a_3 a_4 a_5 a_6 a_7 a_8) % 27.08/27.29 (skS.0 24 a_1 (fun x x_1 x_2 => a_2 x x_1 x_2) a_3 a_4 a_5 a_6 a_7 a_8 a_9))) % 27.08/27.29 Clause #663 (by betaEtaReduce #[662]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 27.08/27.29 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4) c0) % 27.08/27.29 (Ne (skS.0 5 a_1 a_2 a_3 a_4) % 27.08/27.29 (cP (skS.0 23 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 24 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))) % 27.08/27.29 Clause #664 (by forward contextual literal cutting #[663, 509]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 : a), Eq (skS.0 5 a_1 a_2 a_3 a_4) c0 % 27.08/27.29 Clause #665 (by backward demodulation #[664, 503]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a), Ne c0 (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 27.08/27.29 Clause #675 (by backward demodulation #[664, 528]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 27.08/27.29 Or (Eq c0 (skS.0 6 a_1 a_2 a_3 a_4 a_5)) % 27.08/27.29 (Eq c0 (cP (skS.0 9 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 10 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))) % 27.08/27.29 Clause #698 (by backward contextual literal cutting #[665, 522]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 : a), % 27.08/27.29 Eq c0 (cP (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7)) % 27.08/27.29 Clause #700 (by backward contextual literal cutting #[665, 537]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : a), % 27.08/27.29 Eq (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 27.08/27.29 (cP (skS.0 11 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10) (skS.0 12 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11)) % 27.08/27.29 Clause #714 (by forward contextual literal cutting #[675, 665]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 a_6 a_7 a_8 a_9 : a), % 27.17/27.31 Eq c0 (cP (skS.0 9 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) (skS.0 10 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)) % 27.17/27.31 Clause #751 (by betaEtaReduce #[240]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14 : a) % 27.17/27.31 (a_15 : a → a → a → Prop) (a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24 : a), % 27.17/27.31 Or % 27.17/27.31 (Ne (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 27.17/27.31 (cP (skS.0 11 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14) % 27.17/27.31 (skS.0 12 a_1 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24))) % 27.17/27.31 (Or (Ne (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_6 a_7 a_8 a_9 a_10) (skS.0 8 a_1 a_15 a_16 a_17 a_18 a_19 a_20))) % 27.17/27.31 (Or % 27.17/27.31 (Ne (skS.0 5 a_1 a_2 a_3 a_4) % 27.17/27.31 (cP (skS.0 9 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12) (skS.0 10 a_1 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22))) % 27.17/27.31 (Or (Eq (skS.0 5 a_1 a_15 a_16 a_17) (skS.0 6 a_1 a_15 a_16 a_17 a_18)) % 27.17/27.31 (Or (Eq (skS.0 4 a_1 a_15 a_16) (skS.0 6 a_1 a_15 a_16 a_17 a_18)) % 27.17/27.31 (Or (Eq (skS.0 5 a_1 a_6 a_7 a_8) (skS.0 6 a_1 a_6 a_7 a_8 a_9)) % 27.17/27.31 (Or (Eq (skS.0 4 a_1 a_6 a_7) (skS.0 6 a_1 a_6 a_7 a_8 a_9)) (Eq False True))))))) % 27.17/27.31 Clause #752 (by clausification #[751]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14 : a) % 27.17/27.31 (a_15 : a → a → a → Prop) (a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24 : a), % 27.17/27.31 Or % 27.17/27.31 (Ne (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 27.17/27.31 (cP (skS.0 11 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14) % 27.17/27.31 (skS.0 12 a_1 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24))) % 27.17/27.31 (Or (Ne (skS.0 4 a_1 a_2 a_3) (cP (skS.0 7 a_1 a_6 a_7 a_8 a_9 a_10) (skS.0 8 a_1 a_15 a_16 a_17 a_18 a_19 a_20))) % 27.17/27.31 (Or % 27.17/27.31 (Ne (skS.0 5 a_1 a_2 a_3 a_4) % 27.17/27.31 (cP (skS.0 9 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12) (skS.0 10 a_1 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22))) % 27.17/27.31 (Or (Eq (skS.0 5 a_1 a_15 a_16 a_17) (skS.0 6 a_1 a_15 a_16 a_17 a_18)) % 27.17/27.31 (Or (Eq (skS.0 4 a_1 a_15 a_16) (skS.0 6 a_1 a_15 a_16 a_17 a_18)) % 27.17/27.31 (Or (Eq (skS.0 5 a_1 a_6 a_7 a_8) (skS.0 6 a_1 a_6 a_7 a_8 a_9)) % 27.17/27.31 (Eq (skS.0 4 a_1 a_6 a_7) (skS.0 6 a_1 a_6 a_7 a_8 a_9))))))) % 27.17/27.31 Clause #753 (by forward demodulation #[752, 461]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14 : a) % 27.17/27.31 (a_15 : a → a → a → Prop) (a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24 : a), % 27.17/27.31 Or % 27.17/27.31 (Ne (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 27.17/27.31 (cP (skS.0 11 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14) % 27.17/27.31 (skS.0 12 a_1 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24))) % 27.17/27.31 (Or (Ne c0 (cP (skS.0 7 a_1 a_6 a_7 a_8 a_9 a_10) (skS.0 8 a_1 a_15 a_16 a_17 a_18 a_19 a_20))) % 27.17/27.31 (Or % 27.17/27.31 (Ne (skS.0 5 a_1 a_2 a_3 a_4) % 27.17/27.31 (cP (skS.0 9 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12) (skS.0 10 a_1 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22))) % 27.17/27.31 (Or (Eq (skS.0 5 a_1 a_15 a_16 a_17) (skS.0 6 a_1 a_15 a_16 a_17 a_18)) % 27.17/27.31 (Or (Eq (skS.0 4 a_1 a_15 a_16) (skS.0 6 a_1 a_15 a_16 a_17 a_18)) % 27.17/27.31 (Or (Eq (skS.0 5 a_1 a_6 a_7 a_8) (skS.0 6 a_1 a_6 a_7 a_8 a_9)) % 27.17/27.31 (Eq (skS.0 4 a_1 a_6 a_7) (skS.0 6 a_1 a_6 a_7 a_8 a_9))))))) % 27.17/27.31 Clause #754 (by forward demodulation #[753, 664]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14 : a) % 27.17/27.31 (a_15 : a → a → a → Prop) (a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24 : a), % 27.17/27.31 Or % 27.17/27.31 (Ne (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 27.17/27.31 (cP (skS.0 11 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14) % 27.17/27.31 (skS.0 12 a_1 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24))) % 27.17/27.31 (Or (Ne c0 (cP (skS.0 7 a_1 a_6 a_7 a_8 a_9 a_10) (skS.0 8 a_1 a_15 a_16 a_17 a_18 a_19 a_20))) % 27.17/27.31 (Or % 27.17/27.31 (Ne c0 (cP (skS.0 9 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12) (skS.0 10 a_1 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22))) % 27.17/27.31 (Or (Eq (skS.0 5 a_1 a_15 a_16 a_17) (skS.0 6 a_1 a_15 a_16 a_17 a_18)) % 27.17/27.31 (Or (Eq (skS.0 4 a_1 a_15 a_16) (skS.0 6 a_1 a_15 a_16 a_17 a_18)) % 27.17/27.31 (Or (Eq (skS.0 5 a_1 a_6 a_7 a_8) (skS.0 6 a_1 a_6 a_7 a_8 a_9)) % 27.17/27.34 (Eq (skS.0 4 a_1 a_6 a_7) (skS.0 6 a_1 a_6 a_7 a_8 a_9))))))) % 27.17/27.34 Clause #755 (by forward demodulation #[754, 664]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14 : a) % 27.17/27.34 (a_15 : a → a → a → Prop) (a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24 : a), % 27.17/27.34 Or % 27.17/27.34 (Ne (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 27.17/27.34 (cP (skS.0 11 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14) % 27.17/27.34 (skS.0 12 a_1 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24))) % 27.17/27.34 (Or (Ne c0 (cP (skS.0 7 a_1 a_6 a_7 a_8 a_9 a_10) (skS.0 8 a_1 a_15 a_16 a_17 a_18 a_19 a_20))) % 27.17/27.34 (Or % 27.17/27.34 (Ne c0 (cP (skS.0 9 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12) (skS.0 10 a_1 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22))) % 27.17/27.34 (Or (Eq c0 (skS.0 6 a_1 a_15 a_16 a_17 a_18)) % 27.17/27.34 (Or (Eq (skS.0 4 a_1 a_15 a_16) (skS.0 6 a_1 a_15 a_16 a_17 a_18)) % 27.17/27.34 (Or (Eq (skS.0 5 a_1 a_6 a_7 a_8) (skS.0 6 a_1 a_6 a_7 a_8 a_9)) % 27.17/27.34 (Eq (skS.0 4 a_1 a_6 a_7) (skS.0 6 a_1 a_6 a_7 a_8 a_9))))))) % 27.17/27.34 Clause #756 (by forward demodulation #[755, 461]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14 : a) % 27.17/27.34 (a_15 : a → a → a → Prop) (a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24 : a), % 27.17/27.34 Or % 27.17/27.34 (Ne (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 27.17/27.34 (cP (skS.0 11 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14) % 27.17/27.34 (skS.0 12 a_1 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24))) % 27.17/27.34 (Or (Ne c0 (cP (skS.0 7 a_1 a_6 a_7 a_8 a_9 a_10) (skS.0 8 a_1 a_15 a_16 a_17 a_18 a_19 a_20))) % 27.17/27.34 (Or % 27.17/27.34 (Ne c0 (cP (skS.0 9 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12) (skS.0 10 a_1 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22))) % 27.17/27.34 (Or (Eq c0 (skS.0 6 a_1 a_15 a_16 a_17 a_18)) % 27.17/27.34 (Or (Eq c0 (skS.0 6 a_1 a_15 a_16 a_17 a_18)) % 27.17/27.34 (Or (Eq (skS.0 5 a_1 a_6 a_7 a_8) (skS.0 6 a_1 a_6 a_7 a_8 a_9)) % 27.17/27.34 (Eq (skS.0 4 a_1 a_6 a_7) (skS.0 6 a_1 a_6 a_7 a_8 a_9))))))) % 27.17/27.34 Clause #757 (by eliminate duplicate literals #[756]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14 : a) % 27.17/27.34 (a_15 : a → a → a → Prop) (a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24 : a), % 27.17/27.34 Or % 27.17/27.34 (Ne (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 27.17/27.34 (cP (skS.0 11 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14) % 27.17/27.34 (skS.0 12 a_1 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24))) % 27.17/27.34 (Or (Ne c0 (cP (skS.0 7 a_1 a_6 a_7 a_8 a_9 a_10) (skS.0 8 a_1 a_15 a_16 a_17 a_18 a_19 a_20))) % 27.17/27.34 (Or % 27.17/27.34 (Ne c0 (cP (skS.0 9 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12) (skS.0 10 a_1 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22))) % 27.17/27.34 (Or (Eq c0 (skS.0 6 a_1 a_15 a_16 a_17 a_18)) % 27.17/27.34 (Or (Eq (skS.0 5 a_1 a_6 a_7 a_8) (skS.0 6 a_1 a_6 a_7 a_8 a_9)) % 27.17/27.34 (Eq (skS.0 4 a_1 a_6 a_7) (skS.0 6 a_1 a_6 a_7 a_8 a_9)))))) % 27.17/27.34 Clause #758 (by forward demodulation #[757, 664]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14 : a) % 27.17/27.34 (a_15 : a → a → a → Prop) (a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24 : a), % 27.17/27.34 Or % 27.17/27.34 (Ne (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 27.17/27.34 (cP (skS.0 11 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14) % 27.17/27.34 (skS.0 12 a_1 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24))) % 27.17/27.34 (Or (Ne c0 (cP (skS.0 7 a_1 a_6 a_7 a_8 a_9 a_10) (skS.0 8 a_1 a_15 a_16 a_17 a_18 a_19 a_20))) % 27.17/27.34 (Or % 27.17/27.34 (Ne c0 (cP (skS.0 9 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12) (skS.0 10 a_1 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22))) % 27.17/27.34 (Or (Eq c0 (skS.0 6 a_1 a_15 a_16 a_17 a_18)) % 27.17/27.34 (Or (Eq c0 (skS.0 6 a_1 a_6 a_7 a_8 a_9)) (Eq (skS.0 4 a_1 a_6 a_7) (skS.0 6 a_1 a_6 a_7 a_8 a_9)))))) % 27.17/27.34 Clause #759 (by forward demodulation #[758, 461]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14 : a) % 27.17/27.34 (a_15 : a → a → a → Prop) (a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24 : a), % 27.17/27.34 Or % 27.17/27.34 (Ne (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 27.17/27.34 (cP (skS.0 11 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14) % 27.17/27.37 (skS.0 12 a_1 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24))) % 27.17/27.37 (Or (Ne c0 (cP (skS.0 7 a_1 a_6 a_7 a_8 a_9 a_10) (skS.0 8 a_1 a_15 a_16 a_17 a_18 a_19 a_20))) % 27.17/27.37 (Or % 27.17/27.37 (Ne c0 (cP (skS.0 9 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12) (skS.0 10 a_1 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22))) % 27.17/27.37 (Or (Eq c0 (skS.0 6 a_1 a_15 a_16 a_17 a_18)) % 27.17/27.37 (Or (Eq c0 (skS.0 6 a_1 a_6 a_7 a_8 a_9)) (Eq c0 (skS.0 6 a_1 a_6 a_7 a_8 a_9)))))) % 27.17/27.37 Clause #760 (by eliminate duplicate literals #[759]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14 : a) % 27.17/27.37 (a_15 : a → a → a → Prop) (a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24 : a), % 27.17/27.37 Or % 27.17/27.37 (Ne (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 27.17/27.37 (cP (skS.0 11 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14) % 27.17/27.37 (skS.0 12 a_1 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24))) % 27.17/27.37 (Or (Ne c0 (cP (skS.0 7 a_1 a_6 a_7 a_8 a_9 a_10) (skS.0 8 a_1 a_15 a_16 a_17 a_18 a_19 a_20))) % 27.17/27.37 (Or % 27.17/27.37 (Ne c0 (cP (skS.0 9 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12) (skS.0 10 a_1 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22))) % 27.17/27.37 (Or (Eq c0 (skS.0 6 a_1 a_15 a_16 a_17 a_18)) (Eq c0 (skS.0 6 a_1 a_6 a_7 a_8 a_9))))) % 27.17/27.37 Clause #761 (by forward contextual literal cutting #[760, 665]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14 : a) % 27.17/27.37 (a_15 : a → a → a → Prop) (a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24 : a), % 27.17/27.37 Or % 27.17/27.37 (Ne (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 27.17/27.37 (cP (skS.0 11 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14) % 27.17/27.37 (skS.0 12 a_1 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24))) % 27.17/27.37 (Or (Ne c0 (cP (skS.0 7 a_1 a_6 a_7 a_8 a_9 a_10) (skS.0 8 a_1 a_15 a_16 a_17 a_18 a_19 a_20))) % 27.17/27.37 (Or % 27.17/27.37 (Ne c0 (cP (skS.0 9 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12) (skS.0 10 a_1 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22))) % 27.17/27.37 (Eq c0 (skS.0 6 a_1 a_6 a_7 a_8 a_9)))) % 27.17/27.37 Clause #762 (by forward contextual literal cutting #[761, 665]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14 : a) % 27.17/27.37 (a_15 : a → a → a → Prop) (a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24 : a), % 27.17/27.37 Or % 27.17/27.37 (Ne (skS.0 6 a_1 a_2 a_3 a_4 a_5) % 27.17/27.37 (cP (skS.0 11 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 a_14) % 27.17/27.37 (skS.0 12 a_1 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22 a_23 a_24))) % 27.17/27.37 (Or (Ne c0 (cP (skS.0 7 a_1 a_6 a_7 a_8 a_9 a_10) (skS.0 8 a_1 a_15 a_16 a_17 a_18 a_19 a_20))) % 27.17/27.37 (Ne c0 (cP (skS.0 9 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12) (skS.0 10 a_1 a_15 a_16 a_17 a_18 a_19 a_20 a_21 a_22)))) % 27.17/27.37 Clause #763 (by superposition #[762, 700]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 a_12 a_13 : a), % 27.17/27.37 Or (Ne (skS.0 6 a_1 a_2 a_3 a_4 a_5) (skS.0 6 a_1 a_6 a_7 a_8 a_9)) % 27.17/27.37 (Or (Ne c0 (cP (skS.0 7 a_1 a_6 a_7 a_8 a_9 a_10) (skS.0 8 a_1 a_6 a_7 a_8 a_9 a_10 a_11))) % 27.17/27.37 (Ne c0 (cP (skS.0 9 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12) (skS.0 10 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13)))) % 27.17/27.37 Clause #764 (by forward demodulation #[763, 698]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 a_12 a_13 : a), % 27.17/27.37 Or (Ne (skS.0 6 a_1 a_2 a_3 a_4 a_5) (skS.0 6 a_1 a_6 a_7 a_8 a_9)) % 27.17/27.37 (Or (Ne c0 c0) % 27.17/27.37 (Ne c0 (cP (skS.0 9 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12) (skS.0 10 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13)))) % 27.17/27.37 Clause #765 (by eliminate resolved literals #[764]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 a_10 a_11 a_12 a_13 : a), % 27.17/27.37 Or (Ne (skS.0 6 a_1 a_2 a_3 a_4 a_5) (skS.0 6 a_1 a_6 a_7 a_8 a_9)) % 27.17/27.37 (Ne c0 (cP (skS.0 9 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12) (skS.0 10 a_1 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13))) % 27.17/27.37 Clause #766 (by forward demodulation #[765, 714]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 : a), % 27.17/27.37 Or (Ne (skS.0 6 a_1 a_2 a_3 a_4 a_5) (skS.0 6 a_1 a_6 a_7 a_8 a_9)) (Ne c0 c0) % 27.17/27.38 Clause #767 (by eliminate resolved literals #[766]): ∀ (a_1 a_2 : a → a → a → Prop) (a_3 a_4 a_5 : a) (a_6 : a → a → a → Prop) (a_7 a_8 a_9 : a), % 27.17/27.38 Ne (skS.0 6 a_1 a_2 a_3 a_4 a_5) (skS.0 6 a_1 a_6 a_7 a_8 a_9) % 27.17/27.38 Clause #768 (by equality resolution #[767]): False % 27.17/27.38 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------