%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU901^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n012.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 08:02:37 PM UTC 2025 % Result : Theorem 4.68s 4.85s % Output : Proof 4.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU901^5 : TPTP v9.2.0. Released v4.0.0. % 0.07/0.13 % Command : duper %s % 0.13/0.34 % Computer : n012.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Fri Oct 3 05:12:38 EDT 2025 % 0.13/0.35 % CPUTime : % 4.68/4.85 SZS status Theorem for theBenchmark.p % 4.68/4.85 SZS output start Proof for theBenchmark.p % 4.68/4.85 Clause #0 (by assumption #[]): Eq % 4.68/4.85 (Not % 4.68/4.85 (∀ (Xh1 : g → b) (Xh2 : b → a) (Xs1 : g → Prop) (Xf1 : g → g) (Xs2 : b → Prop) (Xf2 : b → b) (Xs3 : a → Prop) % 4.68/4.85 (Xf3 : a → a), % 4.68/4.85 And % 4.68/4.85 (And % 4.68/4.85 (And % 4.68/4.85 (And % 4.68/4.85 (And % 4.68/4.85 (And (And (∀ (Xx : g), Xs1 Xx → Xs1 (Xf1 Xx)) (∀ (Xx : b), Xs2 Xx → Xs2 (Xf2 Xx))) % 4.68/4.85 (∀ (Xx : g), Xs1 Xx → Xs2 (Xh1 Xx))) % 4.68/4.85 (∀ (Xx : g), Xs1 Xx → Eq (Xh1 (Xf1 Xx)) (Xf2 (Xh1 Xx)))) % 4.68/4.85 (∀ (Xx : b), Xs2 Xx → Xs2 (Xf2 Xx))) % 4.68/4.85 (∀ (Xx : a), Xs3 Xx → Xs3 (Xf3 Xx))) % 4.68/4.85 (∀ (Xx : b), Xs2 Xx → Xs3 (Xh2 Xx))) % 4.68/4.85 (∀ (Xx : b), Xs2 Xx → Eq (Xh2 (Xf2 Xx)) (Xf3 (Xh2 Xx))) → % 4.68/4.85 ∀ (Xx : g), Xs1 Xx → Eq (Xh2 (Xh1 (Xf1 Xx))) (Xf3 (Xh2 (Xh1 Xx))))) % 4.68/4.85 True % 4.68/4.85 Clause #1 (by clausification #[0]): Eq % 4.68/4.85 (∀ (Xh1 : g → b) (Xh2 : b → a) (Xs1 : g → Prop) (Xf1 : g → g) (Xs2 : b → Prop) (Xf2 : b → b) (Xs3 : a → Prop) % 4.68/4.85 (Xf3 : a → a), % 4.68/4.85 And % 4.68/4.85 (And % 4.68/4.85 (And % 4.68/4.85 (And % 4.68/4.85 (And % 4.68/4.85 (And (And (∀ (Xx : g), Xs1 Xx → Xs1 (Xf1 Xx)) (∀ (Xx : b), Xs2 Xx → Xs2 (Xf2 Xx))) % 4.68/4.85 (∀ (Xx : g), Xs1 Xx → Xs2 (Xh1 Xx))) % 4.68/4.85 (∀ (Xx : g), Xs1 Xx → Eq (Xh1 (Xf1 Xx)) (Xf2 (Xh1 Xx)))) % 4.68/4.85 (∀ (Xx : b), Xs2 Xx → Xs2 (Xf2 Xx))) % 4.68/4.85 (∀ (Xx : a), Xs3 Xx → Xs3 (Xf3 Xx))) % 4.68/4.85 (∀ (Xx : b), Xs2 Xx → Xs3 (Xh2 Xx))) % 4.68/4.85 (∀ (Xx : b), Xs2 Xx → Eq (Xh2 (Xf2 Xx)) (Xf3 (Xh2 Xx))) → % 4.68/4.85 ∀ (Xx : g), Xs1 Xx → Eq (Xh2 (Xh1 (Xf1 Xx))) (Xf3 (Xh2 (Xh1 Xx)))) % 4.68/4.85 False % 4.68/4.85 Clause #2 (by clausification #[1]): ∀ (a_1 : g → b), % 4.68/4.85 Eq % 4.68/4.85 (Not % 4.68/4.85 (∀ (Xh2 : b → a) (Xs1 : g → Prop) (Xf1 : g → g) (Xs2 : b → Prop) (Xf2 : b → b) (Xs3 : a → Prop) (Xf3 : a → a), % 4.68/4.85 And % 4.68/4.85 (And % 4.68/4.85 (And % 4.68/4.85 (And % 4.68/4.85 (And % 4.68/4.85 (And (And (∀ (Xx : g), Xs1 Xx → Xs1 (Xf1 Xx)) (∀ (Xx : b), Xs2 Xx → Xs2 (Xf2 Xx))) % 4.68/4.85 (∀ (Xx : g), Xs1 Xx → Xs2 (skS.0 0 a_1 Xx))) % 4.68/4.85 (∀ (Xx : g), Xs1 Xx → Eq (skS.0 0 a_1 (Xf1 Xx)) (Xf2 (skS.0 0 a_1 Xx)))) % 4.68/4.85 (∀ (Xx : b), Xs2 Xx → Xs2 (Xf2 Xx))) % 4.68/4.85 (∀ (Xx : a), Xs3 Xx → Xs3 (Xf3 Xx))) % 4.68/4.85 (∀ (Xx : b), Xs2 Xx → Xs3 (Xh2 Xx))) % 4.68/4.85 (∀ (Xx : b), Xs2 Xx → Eq (Xh2 (Xf2 Xx)) (Xf3 (Xh2 Xx))) → % 4.68/4.85 ∀ (Xx : g), Xs1 Xx → Eq (Xh2 (skS.0 0 a_1 (Xf1 Xx))) (Xf3 (Xh2 (skS.0 0 a_1 Xx))))) % 4.68/4.85 True % 4.68/4.85 Clause #3 (by clausification #[2]): ∀ (a_1 : g → b), % 4.68/4.85 Eq % 4.68/4.85 (∀ (Xh2 : b → a) (Xs1 : g → Prop) (Xf1 : g → g) (Xs2 : b → Prop) (Xf2 : b → b) (Xs3 : a → Prop) (Xf3 : a → a), % 4.68/4.85 And % 4.68/4.85 (And % 4.68/4.85 (And % 4.68/4.85 (And % 4.68/4.85 (And % 4.68/4.85 (And (And (∀ (Xx : g), Xs1 Xx → Xs1 (Xf1 Xx)) (∀ (Xx : b), Xs2 Xx → Xs2 (Xf2 Xx))) % 4.68/4.85 (∀ (Xx : g), Xs1 Xx → Xs2 (skS.0 0 a_1 Xx))) % 4.68/4.85 (∀ (Xx : g), Xs1 Xx → Eq (skS.0 0 a_1 (Xf1 Xx)) (Xf2 (skS.0 0 a_1 Xx)))) % 4.68/4.85 (∀ (Xx : b), Xs2 Xx → Xs2 (Xf2 Xx))) % 4.68/4.85 (∀ (Xx : a), Xs3 Xx → Xs3 (Xf3 Xx))) % 4.68/4.85 (∀ (Xx : b), Xs2 Xx → Xs3 (Xh2 Xx))) % 4.68/4.85 (∀ (Xx : b), Xs2 Xx → Eq (Xh2 (Xf2 Xx)) (Xf3 (Xh2 Xx))) → % 4.68/4.85 ∀ (Xx : g), Xs1 Xx → Eq (Xh2 (skS.0 0 a_1 (Xf1 Xx))) (Xf3 (Xh2 (skS.0 0 a_1 Xx)))) % 4.68/4.85 False % 4.68/4.85 Clause #4 (by clausification #[3]): ∀ (a_1 : g → b) (a_2 : b → a), % 4.68/4.85 Eq % 4.68/4.85 (Not % 4.68/4.85 (∀ (Xs1 : g → Prop) (Xf1 : g → g) (Xs2 : b → Prop) (Xf2 : b → b) (Xs3 : a → Prop) (Xf3 : a → a), % 4.68/4.85 And % 4.68/4.85 (And % 4.68/4.85 (And % 4.68/4.85 (And % 4.68/4.85 (And % 4.68/4.85 (And (And (∀ (Xx : g), Xs1 Xx → Xs1 (Xf1 Xx)) (∀ (Xx : b), Xs2 Xx → Xs2 (Xf2 Xx))) % 4.68/4.85 (∀ (Xx : g), Xs1 Xx → Xs2 (skS.0 0 a_1 Xx))) % 4.68/4.85 (∀ (Xx : g), Xs1 Xx → Eq (skS.0 0 a_1 (Xf1 Xx)) (Xf2 (skS.0 0 a_1 Xx)))) % 4.68/4.87 (∀ (Xx : b), Xs2 Xx → Xs2 (Xf2 Xx))) % 4.68/4.87 (∀ (Xx : a), Xs3 Xx → Xs3 (Xf3 Xx))) % 4.68/4.87 (∀ (Xx : b), Xs2 Xx → Xs3 (skS.0 1 a_1 a_2 Xx))) % 4.68/4.87 (∀ (Xx : b), Xs2 Xx → Eq (skS.0 1 a_1 a_2 (Xf2 Xx)) (Xf3 (skS.0 1 a_1 a_2 Xx))) → % 4.68/4.87 ∀ (Xx : g), Xs1 Xx → Eq (skS.0 1 a_1 a_2 (skS.0 0 a_1 (Xf1 Xx))) (Xf3 (skS.0 1 a_1 a_2 (skS.0 0 a_1 Xx))))) % 4.68/4.87 True % 4.68/4.87 Clause #5 (by clausification #[4]): ∀ (a_1 : g → b) (a_2 : b → a), % 4.68/4.87 Eq % 4.68/4.87 (∀ (Xs1 : g → Prop) (Xf1 : g → g) (Xs2 : b → Prop) (Xf2 : b → b) (Xs3 : a → Prop) (Xf3 : a → a), % 4.68/4.87 And % 4.68/4.87 (And % 4.68/4.87 (And % 4.68/4.87 (And % 4.68/4.87 (And % 4.68/4.87 (And (And (∀ (Xx : g), Xs1 Xx → Xs1 (Xf1 Xx)) (∀ (Xx : b), Xs2 Xx → Xs2 (Xf2 Xx))) % 4.68/4.87 (∀ (Xx : g), Xs1 Xx → Xs2 (skS.0 0 a_1 Xx))) % 4.68/4.87 (∀ (Xx : g), Xs1 Xx → Eq (skS.0 0 a_1 (Xf1 Xx)) (Xf2 (skS.0 0 a_1 Xx)))) % 4.68/4.87 (∀ (Xx : b), Xs2 Xx → Xs2 (Xf2 Xx))) % 4.68/4.87 (∀ (Xx : a), Xs3 Xx → Xs3 (Xf3 Xx))) % 4.68/4.87 (∀ (Xx : b), Xs2 Xx → Xs3 (skS.0 1 a_1 a_2 Xx))) % 4.68/4.87 (∀ (Xx : b), Xs2 Xx → Eq (skS.0 1 a_1 a_2 (Xf2 Xx)) (Xf3 (skS.0 1 a_1 a_2 Xx))) → % 4.68/4.87 ∀ (Xx : g), Xs1 Xx → Eq (skS.0 1 a_1 a_2 (skS.0 0 a_1 (Xf1 Xx))) (Xf3 (skS.0 1 a_1 a_2 (skS.0 0 a_1 Xx)))) % 4.68/4.87 False % 4.68/4.87 Clause #6 (by clausification #[5]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop), % 4.68/4.87 Eq % 4.68/4.87 (Not % 4.68/4.87 (∀ (Xf1 : g → g) (Xs2 : b → Prop) (Xf2 : b → b) (Xs3 : a → Prop) (Xf3 : a → a), % 4.68/4.87 And % 4.68/4.87 (And % 4.68/4.87 (And % 4.68/4.87 (And % 4.68/4.87 (And % 4.68/4.87 (And % 4.68/4.87 (And (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 2 a_1 a_2 a_3 (Xf1 Xx)) % 4.68/4.87 (∀ (Xx : b), Xs2 Xx → Xs2 (Xf2 Xx))) % 4.68/4.87 (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → Xs2 (skS.0 0 a_1 Xx))) % 4.68/4.87 (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → Eq (skS.0 0 a_1 (Xf1 Xx)) (Xf2 (skS.0 0 a_1 Xx)))) % 4.68/4.87 (∀ (Xx : b), Xs2 Xx → Xs2 (Xf2 Xx))) % 4.68/4.87 (∀ (Xx : a), Xs3 Xx → Xs3 (Xf3 Xx))) % 4.68/4.87 (∀ (Xx : b), Xs2 Xx → Xs3 (skS.0 1 a_1 a_2 Xx))) % 4.68/4.87 (∀ (Xx : b), Xs2 Xx → Eq (skS.0 1 a_1 a_2 (Xf2 Xx)) (Xf3 (skS.0 1 a_1 a_2 Xx))) → % 4.68/4.87 ∀ (Xx : g), % 4.68/4.87 skS.0 2 a_1 a_2 a_3 Xx → % 4.68/4.87 Eq (skS.0 1 a_1 a_2 (skS.0 0 a_1 (Xf1 Xx))) (Xf3 (skS.0 1 a_1 a_2 (skS.0 0 a_1 Xx))))) % 4.68/4.87 True % 4.68/4.87 Clause #7 (by clausification #[6]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop), % 4.68/4.87 Eq % 4.68/4.87 (∀ (Xf1 : g → g) (Xs2 : b → Prop) (Xf2 : b → b) (Xs3 : a → Prop) (Xf3 : a → a), % 4.68/4.87 And % 4.68/4.87 (And % 4.68/4.87 (And % 4.68/4.87 (And % 4.68/4.87 (And % 4.68/4.87 (And % 4.68/4.87 (And (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 2 a_1 a_2 a_3 (Xf1 Xx)) % 4.68/4.87 (∀ (Xx : b), Xs2 Xx → Xs2 (Xf2 Xx))) % 4.68/4.87 (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → Xs2 (skS.0 0 a_1 Xx))) % 4.68/4.87 (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → Eq (skS.0 0 a_1 (Xf1 Xx)) (Xf2 (skS.0 0 a_1 Xx)))) % 4.68/4.87 (∀ (Xx : b), Xs2 Xx → Xs2 (Xf2 Xx))) % 4.68/4.87 (∀ (Xx : a), Xs3 Xx → Xs3 (Xf3 Xx))) % 4.68/4.87 (∀ (Xx : b), Xs2 Xx → Xs3 (skS.0 1 a_1 a_2 Xx))) % 4.68/4.87 (∀ (Xx : b), Xs2 Xx → Eq (skS.0 1 a_1 a_2 (Xf2 Xx)) (Xf3 (skS.0 1 a_1 a_2 Xx))) → % 4.68/4.87 ∀ (Xx : g), % 4.68/4.87 skS.0 2 a_1 a_2 a_3 Xx → Eq (skS.0 1 a_1 a_2 (skS.0 0 a_1 (Xf1 Xx))) (Xf3 (skS.0 1 a_1 a_2 (skS.0 0 a_1 Xx)))) % 4.68/4.87 False % 4.68/4.87 Clause #8 (by clausification #[7]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g), % 4.68/4.87 Eq % 4.68/4.87 (Not % 4.68/4.87 (∀ (Xs2 : b → Prop) (Xf2 : b → b) (Xs3 : a → Prop) (Xf3 : a → a), % 4.68/4.87 And % 4.68/4.87 (And % 4.68/4.87 (And % 4.68/4.87 (And % 4.68/4.87 (And % 4.68/4.87 (And % 4.68/4.87 (And (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 2 a_1 a_2 a_3 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) % 4.68/4.87 (∀ (Xx : b), Xs2 Xx → Xs2 (Xf2 Xx))) % 4.73/4.89 (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → Xs2 (skS.0 0 a_1 Xx))) % 4.73/4.89 (∀ (Xx : g), % 4.73/4.89 skS.0 2 a_1 a_2 a_3 Xx → Eq (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) (Xf2 (skS.0 0 a_1 Xx)))) % 4.73/4.89 (∀ (Xx : b), Xs2 Xx → Xs2 (Xf2 Xx))) % 4.73/4.89 (∀ (Xx : a), Xs3 Xx → Xs3 (Xf3 Xx))) % 4.73/4.89 (∀ (Xx : b), Xs2 Xx → Xs3 (skS.0 1 a_1 a_2 Xx))) % 4.73/4.89 (∀ (Xx : b), Xs2 Xx → Eq (skS.0 1 a_1 a_2 (Xf2 Xx)) (Xf3 (skS.0 1 a_1 a_2 Xx))) → % 4.73/4.89 ∀ (Xx : g), % 4.73/4.89 skS.0 2 a_1 a_2 a_3 Xx → % 4.73/4.89 Eq (skS.0 1 a_1 a_2 (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx))) (Xf3 (skS.0 1 a_1 a_2 (skS.0 0 a_1 Xx))))) % 4.73/4.89 True % 4.73/4.89 Clause #9 (by clausification #[8]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g), % 4.73/4.89 Eq % 4.73/4.89 (∀ (Xs2 : b → Prop) (Xf2 : b → b) (Xs3 : a → Prop) (Xf3 : a → a), % 4.73/4.89 And % 4.73/4.89 (And % 4.73/4.89 (And % 4.73/4.89 (And % 4.73/4.89 (And % 4.73/4.89 (And % 4.73/4.89 (And (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 2 a_1 a_2 a_3 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) % 4.73/4.89 (∀ (Xx : b), Xs2 Xx → Xs2 (Xf2 Xx))) % 4.73/4.89 (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → Xs2 (skS.0 0 a_1 Xx))) % 4.73/4.89 (∀ (Xx : g), % 4.73/4.89 skS.0 2 a_1 a_2 a_3 Xx → Eq (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) (Xf2 (skS.0 0 a_1 Xx)))) % 4.73/4.89 (∀ (Xx : b), Xs2 Xx → Xs2 (Xf2 Xx))) % 4.73/4.89 (∀ (Xx : a), Xs3 Xx → Xs3 (Xf3 Xx))) % 4.73/4.89 (∀ (Xx : b), Xs2 Xx → Xs3 (skS.0 1 a_1 a_2 Xx))) % 4.73/4.89 (∀ (Xx : b), Xs2 Xx → Eq (skS.0 1 a_1 a_2 (Xf2 Xx)) (Xf3 (skS.0 1 a_1 a_2 Xx))) → % 4.73/4.89 ∀ (Xx : g), % 4.73/4.89 skS.0 2 a_1 a_2 a_3 Xx → % 4.73/4.89 Eq (skS.0 1 a_1 a_2 (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx))) (Xf3 (skS.0 1 a_1 a_2 (skS.0 0 a_1 Xx)))) % 4.73/4.89 False % 4.73/4.89 Clause #10 (by clausification #[9]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop), % 4.73/4.89 Eq % 4.73/4.89 (Not % 4.73/4.89 (∀ (Xf2 : b → b) (Xs3 : a → Prop) (Xf3 : a → a), % 4.73/4.89 And % 4.73/4.89 (And % 4.73/4.89 (And % 4.73/4.89 (And % 4.73/4.89 (And % 4.73/4.89 (And % 4.73/4.89 (And (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 2 a_1 a_2 a_3 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) % 4.73/4.89 (∀ (Xx : b), skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (Xf2 Xx))) % 4.73/4.89 (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 0 a_1 Xx))) % 4.73/4.89 (∀ (Xx : g), % 4.73/4.89 skS.0 2 a_1 a_2 a_3 Xx → Eq (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) (Xf2 (skS.0 0 a_1 Xx)))) % 4.73/4.89 (∀ (Xx : b), skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (Xf2 Xx))) % 4.73/4.89 (∀ (Xx : a), Xs3 Xx → Xs3 (Xf3 Xx))) % 4.73/4.89 (∀ (Xx : b), skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → Xs3 (skS.0 1 a_1 a_2 Xx))) % 4.73/4.89 (∀ (Xx : b), skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → Eq (skS.0 1 a_1 a_2 (Xf2 Xx)) (Xf3 (skS.0 1 a_1 a_2 Xx))) → % 4.73/4.89 ∀ (Xx : g), % 4.73/4.89 skS.0 2 a_1 a_2 a_3 Xx → % 4.73/4.89 Eq (skS.0 1 a_1 a_2 (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx))) (Xf3 (skS.0 1 a_1 a_2 (skS.0 0 a_1 Xx))))) % 4.73/4.89 True % 4.73/4.89 Clause #11 (by clausification #[10]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop), % 4.73/4.89 Eq % 4.73/4.89 (∀ (Xf2 : b → b) (Xs3 : a → Prop) (Xf3 : a → a), % 4.73/4.89 And % 4.73/4.89 (And % 4.73/4.89 (And % 4.73/4.89 (And % 4.73/4.89 (And % 4.73/4.89 (And % 4.73/4.89 (And (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 2 a_1 a_2 a_3 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) % 4.73/4.89 (∀ (Xx : b), skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (Xf2 Xx))) % 4.73/4.89 (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 0 a_1 Xx))) % 4.73/4.89 (∀ (Xx : g), % 4.73/4.89 skS.0 2 a_1 a_2 a_3 Xx → Eq (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) (Xf2 (skS.0 0 a_1 Xx)))) % 4.73/4.91 (∀ (Xx : b), skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (Xf2 Xx))) % 4.73/4.91 (∀ (Xx : a), Xs3 Xx → Xs3 (Xf3 Xx))) % 4.73/4.91 (∀ (Xx : b), skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → Xs3 (skS.0 1 a_1 a_2 Xx))) % 4.73/4.91 (∀ (Xx : b), skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → Eq (skS.0 1 a_1 a_2 (Xf2 Xx)) (Xf3 (skS.0 1 a_1 a_2 Xx))) → % 4.73/4.91 ∀ (Xx : g), % 4.73/4.91 skS.0 2 a_1 a_2 a_3 Xx → % 4.73/4.91 Eq (skS.0 1 a_1 a_2 (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx))) (Xf3 (skS.0 1 a_1 a_2 (skS.0 0 a_1 Xx)))) % 4.73/4.91 False % 4.73/4.91 Clause #12 (by clausification #[11]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : b → b), % 4.73/4.91 Eq % 4.73/4.91 (Not % 4.73/4.91 (∀ (Xs3 : a → Prop) (Xf3 : a → a), % 4.73/4.91 And % 4.73/4.91 (And % 4.73/4.91 (And % 4.73/4.91 (And % 4.73/4.91 (And % 4.73/4.91 (And % 4.73/4.91 (And (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 2 a_1 a_2 a_3 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) % 4.73/4.91 (∀ (Xx : b), % 4.73/4.91 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → % 4.73/4.91 skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx))) % 4.73/4.91 (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 0 a_1 Xx))) % 4.73/4.91 (∀ (Xx : g), % 4.73/4.91 skS.0 2 a_1 a_2 a_3 Xx → % 4.73/4.91 Eq (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) % 4.73/4.91 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 (skS.0 0 a_1 Xx)))) % 4.73/4.91 (∀ (Xx : b), % 4.73/4.91 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx))) % 4.73/4.91 (∀ (Xx : a), Xs3 Xx → Xs3 (Xf3 Xx))) % 4.73/4.91 (∀ (Xx : b), skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → Xs3 (skS.0 1 a_1 a_2 Xx))) % 4.73/4.91 (∀ (Xx : b), % 4.73/4.91 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → % 4.73/4.91 Eq (skS.0 1 a_1 a_2 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx)) (Xf3 (skS.0 1 a_1 a_2 Xx))) → % 4.73/4.91 ∀ (Xx : g), % 4.73/4.91 skS.0 2 a_1 a_2 a_3 Xx → % 4.73/4.91 Eq (skS.0 1 a_1 a_2 (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx))) (Xf3 (skS.0 1 a_1 a_2 (skS.0 0 a_1 Xx))))) % 4.73/4.91 True % 4.73/4.91 Clause #13 (by clausification #[12]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : b → b), % 4.73/4.91 Eq % 4.73/4.91 (∀ (Xs3 : a → Prop) (Xf3 : a → a), % 4.73/4.91 And % 4.73/4.91 (And % 4.73/4.91 (And % 4.73/4.91 (And % 4.73/4.91 (And % 4.73/4.91 (And % 4.73/4.91 (And (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 2 a_1 a_2 a_3 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) % 4.73/4.91 (∀ (Xx : b), % 4.73/4.91 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → % 4.73/4.91 skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx))) % 4.73/4.91 (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 0 a_1 Xx))) % 4.73/4.91 (∀ (Xx : g), % 4.73/4.91 skS.0 2 a_1 a_2 a_3 Xx → % 4.73/4.91 Eq (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 (skS.0 0 a_1 Xx)))) % 4.73/4.91 (∀ (Xx : b), % 4.73/4.91 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx))) % 4.73/4.91 (∀ (Xx : a), Xs3 Xx → Xs3 (Xf3 Xx))) % 4.73/4.91 (∀ (Xx : b), skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → Xs3 (skS.0 1 a_1 a_2 Xx))) % 4.73/4.91 (∀ (Xx : b), % 4.73/4.91 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → % 4.73/4.91 Eq (skS.0 1 a_1 a_2 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx)) (Xf3 (skS.0 1 a_1 a_2 Xx))) → % 4.73/4.91 ∀ (Xx : g), % 4.73/4.91 skS.0 2 a_1 a_2 a_3 Xx → % 4.73/4.91 Eq (skS.0 1 a_1 a_2 (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx))) (Xf3 (skS.0 1 a_1 a_2 (skS.0 0 a_1 Xx)))) % 4.73/4.91 False % 4.73/4.91 Clause #14 (by clausification #[13]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : b → b) (a_7 : a → Prop), % 4.73/4.91 Eq % 4.73/4.91 (Not % 4.73/4.91 (∀ (Xf3 : a → a), % 4.73/4.91 And % 4.73/4.91 (And % 4.73/4.91 (And % 4.73/4.91 (And % 4.73/4.91 (And % 4.73/4.93 (And % 4.73/4.93 (And (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 2 a_1 a_2 a_3 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) % 4.73/4.93 (∀ (Xx : b), % 4.73/4.93 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → % 4.73/4.93 skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx))) % 4.73/4.93 (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 0 a_1 Xx))) % 4.73/4.93 (∀ (Xx : g), % 4.73/4.93 skS.0 2 a_1 a_2 a_3 Xx → % 4.73/4.93 Eq (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) % 4.73/4.93 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 (skS.0 0 a_1 Xx)))) % 4.73/4.93 (∀ (Xx : b), % 4.73/4.93 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx))) % 4.73/4.93 (∀ (Xx : a), skS.0 6 a_1 a_2 a_3 a_4 a_5 a_6 a_7 Xx → skS.0 6 a_1 a_2 a_3 a_4 a_5 a_6 a_7 (Xf3 Xx))) % 4.73/4.93 (∀ (Xx : b), skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → skS.0 6 a_1 a_2 a_3 a_4 a_5 a_6 a_7 (skS.0 1 a_1 a_2 Xx))) % 4.73/4.93 (∀ (Xx : b), % 4.73/4.93 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → % 4.73/4.93 Eq (skS.0 1 a_1 a_2 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx)) (Xf3 (skS.0 1 a_1 a_2 Xx))) → % 4.73/4.93 ∀ (Xx : g), % 4.73/4.93 skS.0 2 a_1 a_2 a_3 Xx → % 4.73/4.93 Eq (skS.0 1 a_1 a_2 (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx))) (Xf3 (skS.0 1 a_1 a_2 (skS.0 0 a_1 Xx))))) % 4.73/4.93 True % 4.73/4.93 Clause #15 (by clausification #[14]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : b → b) (a_7 : a → Prop), % 4.73/4.93 Eq % 4.73/4.93 (∀ (Xf3 : a → a), % 4.73/4.93 And % 4.73/4.93 (And % 4.73/4.93 (And % 4.73/4.93 (And % 4.73/4.93 (And % 4.73/4.93 (And % 4.73/4.93 (And (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 2 a_1 a_2 a_3 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) % 4.73/4.93 (∀ (Xx : b), % 4.73/4.93 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → % 4.73/4.93 skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx))) % 4.73/4.93 (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 0 a_1 Xx))) % 4.73/4.93 (∀ (Xx : g), % 4.73/4.93 skS.0 2 a_1 a_2 a_3 Xx → % 4.73/4.93 Eq (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 (skS.0 0 a_1 Xx)))) % 4.73/4.93 (∀ (Xx : b), % 4.73/4.93 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx))) % 4.73/4.93 (∀ (Xx : a), skS.0 6 a_1 a_2 a_3 a_4 a_5 a_6 a_7 Xx → skS.0 6 a_1 a_2 a_3 a_4 a_5 a_6 a_7 (Xf3 Xx))) % 4.73/4.93 (∀ (Xx : b), skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → skS.0 6 a_1 a_2 a_3 a_4 a_5 a_6 a_7 (skS.0 1 a_1 a_2 Xx))) % 4.73/4.93 (∀ (Xx : b), % 4.73/4.93 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → % 4.73/4.93 Eq (skS.0 1 a_1 a_2 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx)) (Xf3 (skS.0 1 a_1 a_2 Xx))) → % 4.73/4.93 ∀ (Xx : g), % 4.73/4.93 skS.0 2 a_1 a_2 a_3 Xx → % 4.73/4.93 Eq (skS.0 1 a_1 a_2 (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx))) (Xf3 (skS.0 1 a_1 a_2 (skS.0 0 a_1 Xx)))) % 4.73/4.93 False % 4.73/4.93 Clause #16 (by clausification #[15]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : b → b) (a_7 : a → Prop) % 4.73/4.93 (a_8 : a → a), % 4.73/4.93 Eq % 4.73/4.93 (Not % 4.73/4.93 (And % 4.73/4.93 (And % 4.73/4.93 (And % 4.73/4.93 (And % 4.73/4.93 (And % 4.73/4.93 (And % 4.73/4.93 (And (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 2 a_1 a_2 a_3 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) % 4.73/4.93 (∀ (Xx : b), % 4.73/4.93 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → % 4.73/4.93 skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx))) % 4.73/4.93 (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 0 a_1 Xx))) % 4.73/4.93 (∀ (Xx : g), % 4.73/4.93 skS.0 2 a_1 a_2 a_3 Xx → % 4.73/4.93 Eq (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 (skS.0 0 a_1 Xx)))) % 4.73/4.93 (∀ (Xx : b), % 4.73/4.94 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx))) % 4.73/4.94 (∀ (Xx : a), % 4.73/4.94 skS.0 6 a_1 a_2 a_3 a_4 a_5 a_6 a_7 Xx → % 4.73/4.94 skS.0 6 a_1 a_2 a_3 a_4 a_5 a_6 a_7 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 Xx))) % 4.73/4.94 (∀ (Xx : b), skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → skS.0 6 a_1 a_2 a_3 a_4 a_5 a_6 a_7 (skS.0 1 a_1 a_2 Xx))) % 4.73/4.94 (∀ (Xx : b), % 4.73/4.94 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → % 4.73/4.94 Eq (skS.0 1 a_1 a_2 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx)) % 4.73/4.94 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 (skS.0 1 a_1 a_2 Xx))) → % 4.73/4.94 ∀ (Xx : g), % 4.73/4.94 skS.0 2 a_1 a_2 a_3 Xx → % 4.73/4.94 Eq (skS.0 1 a_1 a_2 (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx))) % 4.73/4.94 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 (skS.0 1 a_1 a_2 (skS.0 0 a_1 Xx))))) % 4.73/4.94 True % 4.73/4.94 Clause #17 (by clausification #[16]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : b → b) (a_7 : a → Prop) % 4.73/4.94 (a_8 : a → a), % 4.73/4.94 Eq % 4.73/4.94 (And % 4.73/4.94 (And % 4.73/4.94 (And % 4.73/4.94 (And % 4.73/4.94 (And % 4.73/4.94 (And % 4.73/4.94 (And (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 2 a_1 a_2 a_3 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) % 4.73/4.94 (∀ (Xx : b), % 4.73/4.94 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → % 4.73/4.94 skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx))) % 4.73/4.94 (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 0 a_1 Xx))) % 4.73/4.94 (∀ (Xx : g), % 4.73/4.94 skS.0 2 a_1 a_2 a_3 Xx → % 4.73/4.94 Eq (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 (skS.0 0 a_1 Xx)))) % 4.73/4.94 (∀ (Xx : b), % 4.73/4.94 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx))) % 4.73/4.94 (∀ (Xx : a), % 4.73/4.94 skS.0 6 a_1 a_2 a_3 a_4 a_5 a_6 a_7 Xx → % 4.73/4.94 skS.0 6 a_1 a_2 a_3 a_4 a_5 a_6 a_7 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 Xx))) % 4.73/4.94 (∀ (Xx : b), skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → skS.0 6 a_1 a_2 a_3 a_4 a_5 a_6 a_7 (skS.0 1 a_1 a_2 Xx))) % 4.73/4.94 (∀ (Xx : b), % 4.73/4.94 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → % 4.73/4.94 Eq (skS.0 1 a_1 a_2 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx)) % 4.73/4.94 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 (skS.0 1 a_1 a_2 Xx))) → % 4.73/4.94 ∀ (Xx : g), % 4.73/4.94 skS.0 2 a_1 a_2 a_3 Xx → % 4.73/4.94 Eq (skS.0 1 a_1 a_2 (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx))) % 4.73/4.94 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 (skS.0 1 a_1 a_2 (skS.0 0 a_1 Xx)))) % 4.73/4.94 False % 4.73/4.94 Clause #18 (by clausification #[17]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : b → b) (a_7 : a → Prop) % 4.73/4.94 (a_8 : a → a), % 4.73/4.94 Eq % 4.73/4.94 (And % 4.73/4.94 (And % 4.73/4.94 (And % 4.73/4.94 (And % 4.73/4.94 (And % 4.73/4.94 (And % 4.73/4.94 (And (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 2 a_1 a_2 a_3 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) % 4.73/4.94 (∀ (Xx : b), % 4.73/4.94 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx))) % 4.73/4.94 (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 0 a_1 Xx))) % 4.73/4.94 (∀ (Xx : g), % 4.73/4.94 skS.0 2 a_1 a_2 a_3 Xx → % 4.73/4.94 Eq (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 (skS.0 0 a_1 Xx)))) % 4.73/4.94 (∀ (Xx : b), % 4.73/4.94 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx))) % 4.73/4.94 (∀ (Xx : a), % 4.73/4.94 skS.0 6 a_1 a_2 a_3 a_4 a_5 a_6 a_7 Xx → % 4.73/4.94 skS.0 6 a_1 a_2 a_3 a_4 a_5 a_6 a_7 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 Xx))) % 4.73/4.94 (∀ (Xx : b), skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → skS.0 6 a_1 a_2 a_3 a_4 a_5 a_6 a_7 (skS.0 1 a_1 a_2 Xx))) % 4.73/4.94 (∀ (Xx : b), % 4.73/4.94 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → % 4.73/4.94 Eq (skS.0 1 a_1 a_2 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx)) % 4.73/4.94 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 (skS.0 1 a_1 a_2 Xx)))) % 4.82/4.97 True % 4.82/4.97 Clause #19 (by clausification #[17]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : b → b) (a_7 : a → Prop) % 4.82/4.97 (a_8 : a → a), % 4.82/4.97 Eq % 4.82/4.97 (∀ (Xx : g), % 4.82/4.97 skS.0 2 a_1 a_2 a_3 Xx → % 4.82/4.97 Eq (skS.0 1 a_1 a_2 (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx))) % 4.82/4.97 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 (skS.0 1 a_1 a_2 (skS.0 0 a_1 Xx)))) % 4.82/4.97 False % 4.82/4.97 Clause #20 (by clausification #[18]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : b → b) (a_7 : a → Prop) % 4.82/4.97 (a_8 : a → a), % 4.82/4.97 Eq % 4.82/4.97 (∀ (Xx : b), % 4.82/4.97 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → % 4.82/4.97 Eq (skS.0 1 a_1 a_2 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx)) % 4.82/4.97 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 (skS.0 1 a_1 a_2 Xx))) % 4.82/4.97 True % 4.82/4.97 Clause #21 (by clausification #[18]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : b → b) (a_7 : a → Prop) % 4.82/4.97 (a_8 : a → a), % 4.82/4.97 Eq % 4.82/4.97 (And % 4.82/4.97 (And % 4.82/4.97 (And % 4.82/4.97 (And % 4.82/4.97 (And % 4.82/4.97 (And (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 2 a_1 a_2 a_3 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) % 4.82/4.97 (∀ (Xx : b), % 4.82/4.97 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx))) % 4.82/4.97 (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 0 a_1 Xx))) % 4.82/4.97 (∀ (Xx : g), % 4.82/4.97 skS.0 2 a_1 a_2 a_3 Xx → % 4.82/4.97 Eq (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 (skS.0 0 a_1 Xx)))) % 4.82/4.97 (∀ (Xx : b), % 4.82/4.97 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx))) % 4.82/4.97 (∀ (Xx : a), % 4.82/4.97 skS.0 6 a_1 a_2 a_3 a_4 a_5 a_6 a_7 Xx → % 4.82/4.97 skS.0 6 a_1 a_2 a_3 a_4 a_5 a_6 a_7 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 Xx))) % 4.82/4.97 (∀ (Xx : b), skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → skS.0 6 a_1 a_2 a_3 a_4 a_5 a_6 a_7 (skS.0 1 a_1 a_2 Xx))) % 4.82/4.97 True % 4.82/4.97 Clause #22 (by clausification #[20]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : b) (a_7 : b → b) (a_8 : a → Prop) % 4.82/4.97 (a_9 : a → a), % 4.82/4.97 Eq % 4.82/4.97 (skS.0 4 a_1 a_2 a_3 a_4 a_5 a_6 → % 4.82/4.97 Eq (skS.0 1 a_1 a_2 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_7 a_6)) % 4.82/4.97 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 (skS.0 1 a_1 a_2 a_6))) % 4.82/4.97 True % 4.82/4.97 Clause #23 (by clausification #[22]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : b) (a_7 : b → b) (a_8 : a → Prop) % 4.82/4.97 (a_9 : a → a), % 4.82/4.97 Or (Eq (skS.0 4 a_1 a_2 a_3 a_4 a_5 a_6) False) % 4.82/4.97 (Eq % 4.82/4.97 (Eq (skS.0 1 a_1 a_2 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_7 a_6)) % 4.82/4.97 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 (skS.0 1 a_1 a_2 a_6))) % 4.82/4.97 True) % 4.82/4.97 Clause #24 (by clausification #[23]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : b) (a_7 : b → b) (a_8 : a → Prop) % 4.82/4.97 (a_9 : a → a), % 4.82/4.97 Or (Eq (skS.0 4 a_1 a_2 a_3 a_4 a_5 a_6) False) % 4.82/4.97 (Eq (skS.0 1 a_1 a_2 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_7 a_6)) % 4.82/4.97 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_7 a_8 a_9 (skS.0 1 a_1 a_2 a_6))) % 4.82/4.97 Clause #25 (by clausification #[19]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : b → b) (a_7 : a → Prop) % 4.82/4.97 (a_8 : a → a) (a_9 : g), % 4.82/4.97 Eq % 4.82/4.97 (Not % 4.82/4.97 (skS.0 2 a_1 a_2 a_3 (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) → % 4.82/4.97 Eq (skS.0 1 a_1 a_2 (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 4.82/4.97 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 % 4.82/4.97 (skS.0 1 a_1 a_2 (skS.0 0 a_1 (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))))) % 4.82/4.97 True % 4.82/4.97 Clause #26 (by clausification #[25]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : b → b) (a_7 : a → Prop) % 4.82/4.97 (a_8 : a → a) (a_9 : g), % 4.82/4.97 Eq % 4.82/4.97 (skS.0 2 a_1 a_2 a_3 (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9) → % 4.82/4.97 Eq (skS.0 1 a_1 a_2 (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 4.82/4.99 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 % 4.82/4.99 (skS.0 1 a_1 a_2 (skS.0 0 a_1 (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))))) % 4.82/4.99 False % 4.82/4.99 Clause #27 (by clausification #[26]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : b → b) (a_7 : a → Prop) % 4.82/4.99 (a_8 : a → a) (a_9 : g), Eq (skS.0 2 a_1 a_2 a_3 (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)) True % 4.82/4.99 Clause #28 (by clausification #[26]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : b → b) (a_7 : a → Prop) % 4.82/4.99 (a_8 : a → a) (a_9 : g), % 4.82/4.99 Eq % 4.82/4.99 (Eq (skS.0 1 a_1 a_2 (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 4.82/4.99 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 % 4.82/4.99 (skS.0 1 a_1 a_2 (skS.0 0 a_1 (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9))))) % 4.82/4.99 False % 4.82/4.99 Clause #29 (by clausification #[28]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : b → b) (a_7 : a → Prop) % 4.82/4.99 (a_8 : a → a) (a_9 : g), % 4.82/4.99 Ne (skS.0 1 a_1 a_2 (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 4.82/4.99 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 % 4.82/4.99 (skS.0 1 a_1 a_2 (skS.0 0 a_1 (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9)))) % 4.82/4.99 Clause #31 (by clausification #[21]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : b → b) (a_7 : a → Prop) % 4.82/4.99 (a_8 : a → a), % 4.82/4.99 Eq % 4.82/4.99 (And % 4.82/4.99 (And % 4.82/4.99 (And % 4.82/4.99 (And % 4.82/4.99 (And (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 2 a_1 a_2 a_3 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) % 4.82/4.99 (∀ (Xx : b), % 4.82/4.99 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx))) % 4.82/4.99 (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 0 a_1 Xx))) % 4.82/4.99 (∀ (Xx : g), % 4.82/4.99 skS.0 2 a_1 a_2 a_3 Xx → % 4.82/4.99 Eq (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 (skS.0 0 a_1 Xx)))) % 4.82/4.99 (∀ (Xx : b), skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx))) % 4.82/4.99 (∀ (Xx : a), % 4.82/4.99 skS.0 6 a_1 a_2 a_3 a_4 a_5 a_6 a_7 Xx → % 4.82/4.99 skS.0 6 a_1 a_2 a_3 a_4 a_5 a_6 a_7 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 Xx))) % 4.82/4.99 True % 4.82/4.99 Clause #35 (by clausification #[31]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : b → b), % 4.82/4.99 Eq % 4.82/4.99 (And % 4.82/4.99 (And % 4.82/4.99 (And % 4.82/4.99 (And (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 2 a_1 a_2 a_3 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) % 4.82/4.99 (∀ (Xx : b), % 4.82/4.99 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx))) % 4.82/4.99 (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 0 a_1 Xx))) % 4.82/4.99 (∀ (Xx : g), % 4.82/4.99 skS.0 2 a_1 a_2 a_3 Xx → % 4.82/4.99 Eq (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 (skS.0 0 a_1 Xx)))) % 4.82/4.99 (∀ (Xx : b), skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx))) % 4.82/4.99 True % 4.82/4.99 Clause #39 (by clausification #[35]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : b → b), % 4.82/4.99 Eq % 4.82/4.99 (And % 4.82/4.99 (And % 4.82/4.99 (And (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 2 a_1 a_2 a_3 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) % 4.82/4.99 (∀ (Xx : b), % 4.82/4.99 skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx))) % 4.82/4.99 (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 0 a_1 Xx))) % 4.82/4.99 (∀ (Xx : g), % 4.82/4.99 skS.0 2 a_1 a_2 a_3 Xx → % 4.82/4.99 Eq (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 (skS.0 0 a_1 Xx)))) % 4.82/4.99 True % 4.82/4.99 Clause #42 (by clausification #[39]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : b → b), % 4.86/5.01 Eq % 4.86/5.01 (∀ (Xx : g), % 4.86/5.01 skS.0 2 a_1 a_2 a_3 Xx → % 4.86/5.01 Eq (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 (skS.0 0 a_1 Xx))) % 4.86/5.01 True % 4.86/5.01 Clause #43 (by clausification #[39]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : b → b), % 4.86/5.01 Eq % 4.86/5.01 (And % 4.86/5.01 (And (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 2 a_1 a_2 a_3 (skS.0 3 a_1 a_2 a_3 a_4 Xx)) % 4.86/5.01 (∀ (Xx : b), skS.0 4 a_1 a_2 a_3 a_4 a_5 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 Xx))) % 4.86/5.01 (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 0 a_1 Xx))) % 4.86/5.01 True % 4.86/5.01 Clause #44 (by clausification #[42]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g) (a_5 : g → g) (a_6 : b → Prop) (a_7 : b → b), % 4.86/5.01 Eq % 4.86/5.01 (skS.0 2 a_1 a_2 a_3 a_4 → % 4.86/5.01 Eq (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_5 a_4)) (skS.0 5 a_1 a_2 a_3 a_5 a_6 a_7 (skS.0 0 a_1 a_4))) % 4.86/5.01 True % 4.86/5.01 Clause #45 (by clausification #[44]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g) (a_5 : g → g) (a_6 : b → Prop) (a_7 : b → b), % 4.86/5.01 Or (Eq (skS.0 2 a_1 a_2 a_3 a_4) False) % 4.86/5.01 (Eq (Eq (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_5 a_4)) (skS.0 5 a_1 a_2 a_3 a_5 a_6 a_7 (skS.0 0 a_1 a_4))) True) % 4.86/5.01 Clause #46 (by clausification #[45]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g) (a_5 : g → g) (a_6 : b → Prop) (a_7 : b → b), % 4.86/5.01 Or (Eq (skS.0 2 a_1 a_2 a_3 a_4) False) % 4.86/5.01 (Eq (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_5 a_4)) (skS.0 5 a_1 a_2 a_3 a_5 a_6 a_7 (skS.0 0 a_1 a_4))) % 4.86/5.01 Clause #47 (by superposition #[46, 27]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 a_5 : g → g) (a_6 : b → Prop) (a_7 : b → b) (a_8 : a → Prop) % 4.86/5.01 (a_9 : a → a) (a_10 : g) (a_11 : b → Prop) (a_12 : b → b), % 4.86/5.01 Or % 4.86/5.01 (Eq % 4.86/5.01 (skS.0 0 (fun x => a_1 x) % 4.86/5.01 (skS.0 3 (fun x => a_1 x) (fun x => a_2 x) (fun x => a_3 x) a_4 (skS.0 8 a_1 a_2 a_3 a_5 a_6 a_7 a_8 a_9 a_10))) % 4.86/5.01 (skS.0 5 (fun x => a_1 x) (fun x => a_2 x) (fun x => a_3 x) a_4 a_11 a_12 % 4.86/5.01 (skS.0 0 (fun x => a_1 x) (skS.0 8 a_1 a_2 a_3 a_5 a_6 a_7 a_8 a_9 a_10)))) % 4.86/5.01 (Eq False True) % 4.86/5.01 Clause #48 (by clausification #[43]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop), % 4.86/5.01 Eq (∀ (Xx : g), skS.0 2 a_1 a_2 a_3 Xx → skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 0 a_1 Xx)) True % 4.86/5.01 Clause #50 (by clausification #[48]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g) (a_5 : g → g) (a_6 : b → Prop), % 4.86/5.01 Eq (skS.0 2 a_1 a_2 a_3 a_4 → skS.0 4 a_1 a_2 a_3 a_5 a_6 (skS.0 0 a_1 a_4)) True % 4.86/5.01 Clause #51 (by clausification #[50]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g) (a_5 : g → g) (a_6 : b → Prop), % 4.86/5.01 Or (Eq (skS.0 2 a_1 a_2 a_3 a_4) False) (Eq (skS.0 4 a_1 a_2 a_3 a_5 a_6 (skS.0 0 a_1 a_4)) True) % 4.86/5.01 Clause #52 (by superposition #[51, 27]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : g → g) (a_7 : b → Prop) % 4.86/5.01 (a_8 : b → b) (a_9 : a → Prop) (a_10 : a → a) (a_11 : g), % 4.86/5.01 Or % 4.86/5.01 (Eq % 4.86/5.01 (skS.0 4 (fun x => a_1 x) (fun x => a_2 x) (fun x => a_3 x) a_4 a_5 % 4.86/5.01 (skS.0 0 (fun x => a_1 x) (skS.0 8 a_1 a_2 a_3 a_6 a_7 a_8 a_9 a_10 a_11))) % 4.86/5.01 True) % 4.86/5.01 (Eq False True) % 4.86/5.01 Clause #53 (by betaEtaReduce #[52]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : g → g) (a_7 : b → Prop) % 4.86/5.01 (a_8 : b → b) (a_9 : a → Prop) (a_10 : a → a) (a_11 : g), % 4.86/5.01 Or (Eq (skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 0 a_1 (skS.0 8 a_1 a_2 a_3 a_6 a_7 a_8 a_9 a_10 a_11))) True) % 4.86/5.01 (Eq False True) % 4.86/5.01 Clause #54 (by clausification #[53]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : g → g) (a_7 : b → Prop) % 4.86/5.01 (a_8 : b → b) (a_9 : a → Prop) (a_10 : a → a) (a_11 : g), % 4.86/5.01 Eq (skS.0 4 a_1 a_2 a_3 a_4 a_5 (skS.0 0 a_1 (skS.0 8 a_1 a_2 a_3 a_6 a_7 a_8 a_9 a_10 a_11))) True % 4.86/5.01 Clause #55 (by superposition #[54, 24]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : b → b) (a_7 : g → g) % 4.86/5.02 (a_8 : b → Prop) (a_9 : b → b) (a_10 : a → Prop) (a_11 : a → a) (a_12 : g) (a_13 : a → Prop) (a_14 : a → a), % 4.86/5.02 Or (Eq True False) % 4.86/5.02 (Eq % 4.86/5.02 (skS.0 1 a_1 a_2 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 (skS.0 0 a_1 (skS.0 8 a_1 a_2 a_3 a_7 a_8 a_9 a_10 a_11 a_12)))) % 4.86/5.02 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6 a_13 a_14 % 4.86/5.02 (skS.0 1 a_1 a_2 (skS.0 0 a_1 (skS.0 8 a_1 a_2 a_3 a_7 a_8 a_9 a_10 a_11 a_12))))) % 4.86/5.02 Clause #61 (by betaEtaReduce #[47]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 a_5 : g → g) (a_6 : b → Prop) (a_7 : b → b) (a_8 : a → Prop) % 4.86/5.02 (a_9 : a → a) (a_10 : g) (a_11 : b → Prop) (a_12 : b → b), % 4.86/5.02 Or % 4.86/5.02 (Eq (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 (skS.0 8 a_1 a_2 a_3 a_5 a_6 a_7 a_8 a_9 a_10))) % 4.86/5.02 (skS.0 5 a_1 a_2 a_3 a_4 a_11 a_12 (skS.0 0 a_1 (skS.0 8 a_1 a_2 a_3 a_5 a_6 a_7 a_8 a_9 a_10)))) % 4.86/5.02 (Eq False True) % 4.86/5.02 Clause #62 (by clausification #[61]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 a_5 : g → g) (a_6 : b → Prop) (a_7 : b → b) (a_8 : a → Prop) % 4.86/5.02 (a_9 : a → a) (a_10 : g) (a_11 : b → Prop) (a_12 : b → b), % 4.86/5.02 Eq (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 (skS.0 8 a_1 a_2 a_3 a_5 a_6 a_7 a_8 a_9 a_10))) % 4.86/5.02 (skS.0 5 a_1 a_2 a_3 a_4 a_11 a_12 (skS.0 0 a_1 (skS.0 8 a_1 a_2 a_3 a_5 a_6 a_7 a_8 a_9 a_10))) % 4.86/5.02 Clause #81 (by clausification #[55]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 : g → g) (a_5 : b → Prop) (a_6 : b → b) (a_7 : g → g) % 4.86/5.02 (a_8 : b → Prop) (a_9 : b → b) (a_10 : a → Prop) (a_11 : a → a) (a_12 : g) (a_13 : a → Prop) (a_14 : a → a), % 4.86/5.02 Eq (skS.0 1 a_1 a_2 (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6 (skS.0 0 a_1 (skS.0 8 a_1 a_2 a_3 a_7 a_8 a_9 a_10 a_11 a_12)))) % 4.86/5.02 (skS.0 7 a_1 a_2 a_3 a_4 a_5 a_6 a_13 a_14 % 4.86/5.02 (skS.0 1 a_1 a_2 (skS.0 0 a_1 (skS.0 8 a_1 a_2 a_3 a_7 a_8 a_9 a_10 a_11 a_12)))) % 4.86/5.02 Clause #82 (by forward demodulation #[81, 62]): ∀ (a_1 : g → b) (a_2 : b → a) (a_3 : g → Prop) (a_4 a_5 : g → g) (a_6 : b → Prop) (a_7 : b → b) (a_8 : a → Prop) % 4.86/5.02 (a_9 : a → a) (a_10 : g) (a_11 : b → Prop) (a_12 : b → b) (a_13 : a → Prop) (a_14 : a → a), % 4.86/5.02 Eq (skS.0 1 a_1 a_2 (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3 a_4 (skS.0 8 a_1 a_2 a_3 a_5 a_6 a_7 a_8 a_9 a_10)))) % 4.86/5.02 (skS.0 7 a_1 a_2 a_3 a_4 a_11 a_12 a_13 a_14 % 4.86/5.02 (skS.0 1 a_1 a_2 (skS.0 0 a_1 (skS.0 8 a_1 a_2 a_3 a_5 a_6 a_7 a_8 a_9 a_10)))) % 4.86/5.02 Clause #84 (by backward contextual literal cutting #[82, 29]): False % 4.86/5.02 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------