%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KRS168+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n006.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 07:52:44 PM UTC 2025 % Result : Theorem 4.19s 4.44s % Output : Proof 4.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.15 % Problem : KRS168+1 : TPTP v9.2.0. Released v3.1.0. % 0.11/0.16 % Command : duper %s % 0.14/0.38 % Computer : n006.cluster.edu % 0.14/0.38 % Model : x86_64 x86_64 % 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.38 % Memory : 8042.1875MB % 0.14/0.38 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.38 % CPULimit : 300 % 0.14/0.38 % WCLimit : 300 % 0.14/0.38 % DateTime : Thu Oct 2 10:23:08 EDT 2025 % 0.14/0.38 % CPUTime : % 4.19/4.44 SZS status Theorem for theBenchmark.p % 4.19/4.44 SZS output start Proof for theBenchmark.p % 4.19/4.44 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True % 4.19/4.44 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) True % 4.19/4.44 Clause #2 (by assumption #[]): Eq % 4.19/4.44 (Not % 4.19/4.44 (And % 4.19/4.44 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.19/4.44 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.19/4.44 (∀ (X : Iota), Iff (And (Not (cB X)) (Not (cA X))) (Not (Or (cA X) (cB X)))))) % 4.19/4.44 True % 4.19/4.44 Clause #3 (by clausification #[1]): ∀ (a : Iota), Eq (Iff (xsd_string a) (Not (xsd_integer a))) True % 4.19/4.44 Clause #4 (by clausification #[3]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (Not (xsd_integer a)) False) % 4.19/4.44 Clause #5 (by clausification #[3]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (Not (xsd_integer a)) True) % 4.19/4.44 Clause #6 (by clausification #[4]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (xsd_integer a) True) % 4.19/4.44 Clause #7 (by clausification #[5]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (xsd_integer a) False) % 4.19/4.44 Clause #8 (by clausification #[0]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True % 4.19/4.44 Clause #9 (by clausification #[8]): ∀ (a : Iota), Eq (Not (cowlNothing a)) True % 4.19/4.44 Clause #10 (by clausification #[8]): ∀ (a : Iota), Eq (cowlThing a) True % 4.19/4.44 Clause #11 (by clausification #[9]): ∀ (a : Iota), Eq (cowlNothing a) False % 4.19/4.44 Clause #12 (by clausification #[2]): Eq % 4.19/4.44 (And % 4.19/4.44 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.19/4.44 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.19/4.44 (∀ (X : Iota), Iff (And (Not (cB X)) (Not (cA X))) (Not (Or (cA X) (cB X))))) % 4.19/4.44 False % 4.19/4.44 Clause #13 (by clausification #[12]): Or % 4.19/4.44 (Eq % 4.19/4.44 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.19/4.44 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.19/4.44 False) % 4.19/4.44 (Eq (∀ (X : Iota), Iff (And (Not (cB X)) (Not (cA X))) (Not (Or (cA X) (cB X)))) False) % 4.19/4.44 Clause #14 (by clausification #[13]): Or (Eq (∀ (X : Iota), Iff (And (Not (cB X)) (Not (cA X))) (Not (Or (cA X) (cB X)))) False) % 4.19/4.44 (Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False) % 4.19/4.44 (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)) % 4.19/4.44 Clause #15 (by clausification #[14]): ∀ (a : Iota), % 4.19/4.44 Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False) % 4.19/4.44 (Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False) % 4.19/4.44 (Eq (Not (Iff (And (Not (cB (skS.0 0 a))) (Not (cA (skS.0 0 a)))) (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a)))))) % 4.19/4.44 True)) % 4.19/4.44 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), % 4.19/4.44 Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False) % 4.19/4.44 (Or % 4.19/4.44 (Eq (Not (Iff (And (Not (cB (skS.0 0 a))) (Not (cA (skS.0 0 a)))) (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a)))))) % 4.19/4.44 True) % 4.19/4.44 (Eq (Not (And (cowlThing (skS.0 1 a_1)) (Not (cowlNothing (skS.0 1 a_1))))) True)) % 4.19/4.44 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 : Iota), % 4.19/4.44 Or % 4.19/4.44 (Eq (Not (Iff (And (Not (cB (skS.0 0 a))) (Not (cA (skS.0 0 a)))) (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a)))))) % 4.19/4.44 True) % 4.19/4.44 (Or (Eq (Not (And (cowlThing (skS.0 1 a_1)) (Not (cowlNothing (skS.0 1 a_1))))) True) % 4.19/4.44 (Eq (Not (Iff (xsd_string (skS.0 2 a_2)) (Not (xsd_integer (skS.0 2 a_2))))) True)) % 4.19/4.44 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : Iota), % 4.19/4.44 Or (Eq (Not (And (cowlThing (skS.0 1 a)) (Not (cowlNothing (skS.0 1 a))))) True) % 4.19/4.44 (Or (Eq (Not (Iff (xsd_string (skS.0 2 a_1)) (Not (xsd_integer (skS.0 2 a_1))))) True) % 4.19/4.44 (Eq (Iff (And (Not (cB (skS.0 0 a_2))) (Not (cA (skS.0 0 a_2)))) (Not (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))))) % 4.19/4.44 False)) % 4.19/4.44 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 : Iota), % 4.19/4.44 Or (Eq (Not (Iff (xsd_string (skS.0 2 a)) (Not (xsd_integer (skS.0 2 a))))) True) % 4.19/4.44 (Or % 4.19/4.44 (Eq (Iff (And (Not (cB (skS.0 0 a_1))) (Not (cA (skS.0 0 a_1)))) (Not (Or (cA (skS.0 0 a_1)) (cB (skS.0 0 a_1))))) % 4.19/4.44 False) % 4.19/4.44 (Eq (And (cowlThing (skS.0 1 a_2)) (Not (cowlNothing (skS.0 1 a_2)))) False)) % 4.27/4.47 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 : Iota), % 4.27/4.47 Or (Eq (Iff (And (Not (cB (skS.0 0 a))) (Not (cA (skS.0 0 a)))) (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a))))) False) % 4.27/4.47 (Or (Eq (And (cowlThing (skS.0 1 a_1)) (Not (cowlNothing (skS.0 1 a_1)))) False) % 4.27/4.47 (Eq (Iff (xsd_string (skS.0 2 a_2)) (Not (xsd_integer (skS.0 2 a_2)))) False)) % 4.27/4.47 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 : Iota), % 4.27/4.47 Or (Eq (And (cowlThing (skS.0 1 a)) (Not (cowlNothing (skS.0 1 a)))) False) % 4.27/4.47 (Or (Eq (Iff (xsd_string (skS.0 2 a_1)) (Not (xsd_integer (skS.0 2 a_1)))) False) % 4.27/4.47 (Or (Eq (And (Not (cB (skS.0 0 a_2))) (Not (cA (skS.0 0 a_2)))) False) % 4.27/4.47 (Eq (Not (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2)))) False))) % 4.27/4.47 Clause #22 (by clausification #[20]): ∀ (a a_1 a_2 : Iota), % 4.27/4.47 Or (Eq (And (cowlThing (skS.0 1 a)) (Not (cowlNothing (skS.0 1 a)))) False) % 4.27/4.47 (Or (Eq (Iff (xsd_string (skS.0 2 a_1)) (Not (xsd_integer (skS.0 2 a_1)))) False) % 4.27/4.47 (Or (Eq (And (Not (cB (skS.0 0 a_2))) (Not (cA (skS.0 0 a_2)))) True) % 4.27/4.47 (Eq (Not (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2)))) True))) % 4.27/4.47 Clause #23 (by clausification #[21]): ∀ (a a_1 a_2 : Iota), % 4.27/4.47 Or (Eq (Iff (xsd_string (skS.0 2 a)) (Not (xsd_integer (skS.0 2 a)))) False) % 4.27/4.47 (Or (Eq (And (Not (cB (skS.0 0 a_1))) (Not (cA (skS.0 0 a_1)))) False) % 4.27/4.47 (Or (Eq (Not (Or (cA (skS.0 0 a_1)) (cB (skS.0 0 a_1)))) False) % 4.27/4.47 (Or (Eq (cowlThing (skS.0 1 a_2)) False) (Eq (Not (cowlNothing (skS.0 1 a_2))) False)))) % 4.27/4.47 Clause #24 (by clausification #[23]): ∀ (a a_1 a_2 : Iota), % 4.27/4.47 Or (Eq (And (Not (cB (skS.0 0 a))) (Not (cA (skS.0 0 a)))) False) % 4.27/4.47 (Or (Eq (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a)))) False) % 4.27/4.47 (Or (Eq (cowlThing (skS.0 1 a_1)) False) % 4.27/4.47 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False) % 4.27/4.47 (Or (Eq (xsd_string (skS.0 2 a_2)) False) (Eq (Not (xsd_integer (skS.0 2 a_2))) False))))) % 4.27/4.47 Clause #25 (by clausification #[23]): ∀ (a a_1 a_2 : Iota), % 4.27/4.47 Or (Eq (And (Not (cB (skS.0 0 a))) (Not (cA (skS.0 0 a)))) False) % 4.27/4.47 (Or (Eq (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a)))) False) % 4.27/4.47 (Or (Eq (cowlThing (skS.0 1 a_1)) False) % 4.27/4.47 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False) % 4.27/4.47 (Or (Eq (xsd_string (skS.0 2 a_2)) True) (Eq (Not (xsd_integer (skS.0 2 a_2))) True))))) % 4.27/4.47 Clause #26 (by clausification #[24]): ∀ (a a_1 a_2 : Iota), % 4.27/4.47 Or (Eq (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a)))) False) % 4.27/4.47 (Or (Eq (cowlThing (skS.0 1 a_1)) False) % 4.27/4.47 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False) % 4.27/4.47 (Or (Eq (xsd_string (skS.0 2 a_2)) False) % 4.27/4.47 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) False) % 4.27/4.47 (Or (Eq (Not (cB (skS.0 0 a))) False) (Eq (Not (cA (skS.0 0 a))) False)))))) % 4.27/4.47 Clause #27 (by clausification #[26]): ∀ (a a_1 a_2 : Iota), % 4.27/4.47 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.27/4.47 (Or (Eq (Not (cowlNothing (skS.0 1 a))) False) % 4.27/4.47 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 4.27/4.47 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) False) % 4.27/4.47 (Or (Eq (Not (cB (skS.0 0 a_2))) False) % 4.27/4.47 (Or (Eq (Not (cA (skS.0 0 a_2))) False) (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) True)))))) % 4.27/4.47 Clause #28 (by clausification #[27]): ∀ (a a_1 a_2 : Iota), % 4.27/4.47 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.27/4.47 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 4.27/4.47 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) False) % 4.27/4.47 (Or (Eq (Not (cB (skS.0 0 a_2))) False) % 4.27/4.47 (Or (Eq (Not (cA (skS.0 0 a_2))) False) % 4.27/4.47 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) True) (Eq (cowlNothing (skS.0 1 a)) True)))))) % 4.27/4.47 Clause #29 (by clausification #[28]): ∀ (a a_1 a_2 : Iota), % 4.27/4.47 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.27/4.47 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 4.27/4.47 (Or (Eq (Not (cB (skS.0 0 a_2))) False) % 4.27/4.47 (Or (Eq (Not (cA (skS.0 0 a_2))) False) % 4.27/4.47 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) True) % 4.27/4.47 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) True)))))) % 4.27/4.47 Clause #30 (by clausification #[29]): ∀ (a a_1 a_2 : Iota), % 4.27/4.47 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.27/4.47 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 4.27/4.47 (Or (Eq (Not (cA (skS.0 0 a_2))) False) % 4.30/4.50 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) True) % 4.30/4.50 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 4.30/4.50 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (cB (skS.0 0 a_2)) True)))))) % 4.30/4.50 Clause #31 (by clausification #[30]): ∀ (a a_1 a_2 : Iota), % 4.30/4.50 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.30/4.50 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 4.30/4.50 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) True) % 4.30/4.50 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 4.30/4.50 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Or (Eq (cB (skS.0 0 a_2)) True) (Eq (cA (skS.0 0 a_2)) True)))))) % 4.30/4.50 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 : Iota), % 4.30/4.50 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.30/4.50 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 4.30/4.50 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 4.30/4.50 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) % 4.30/4.50 (Or (Eq (cB (skS.0 0 a_2)) True) % 4.30/4.50 (Or (Eq (cA (skS.0 0 a_2)) True) (Or (Eq (cA (skS.0 0 a_2)) True) (Eq (cB (skS.0 0 a_2)) True))))))) % 4.30/4.50 Clause #33 (by eliminate duplicate literals #[32]): ∀ (a a_1 a_2 : Iota), % 4.30/4.50 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.30/4.50 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 4.30/4.50 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 4.30/4.50 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Or (Eq (cB (skS.0 0 a_2)) True) (Eq (cA (skS.0 0 a_2)) True))))) % 4.30/4.50 Clause #34 (by forward demodulation #[33, 11]): ∀ (a a_1 a_2 : Iota), % 4.30/4.50 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.30/4.50 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 4.30/4.50 (Or (Eq False True) % 4.30/4.50 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Or (Eq (cB (skS.0 0 a_2)) True) (Eq (cA (skS.0 0 a_2)) True))))) % 4.30/4.50 Clause #35 (by clausification #[34]): ∀ (a a_1 a_2 : Iota), % 4.30/4.50 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.30/4.50 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 4.30/4.50 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Or (Eq (cB (skS.0 0 a_2)) True) (Eq (cA (skS.0 0 a_2)) True)))) % 4.30/4.50 Clause #36 (by superposition #[35, 10]): ∀ (a a_1 : Iota), % 4.30/4.50 Or (Eq (xsd_string (skS.0 2 a)) False) % 4.30/4.50 (Or (Eq (xsd_integer (skS.0 2 a)) True) % 4.30/4.50 (Or (Eq (cB (skS.0 0 a_1)) True) (Or (Eq (cA (skS.0 0 a_1)) True) (Eq False True)))) % 4.30/4.50 Clause #37 (by clausification #[22]): ∀ (a a_1 a_2 : Iota), % 4.30/4.50 Or (Eq (Iff (xsd_string (skS.0 2 a)) (Not (xsd_integer (skS.0 2 a)))) False) % 4.30/4.50 (Or (Eq (And (Not (cB (skS.0 0 a_1))) (Not (cA (skS.0 0 a_1)))) True) % 4.30/4.50 (Or (Eq (Not (Or (cA (skS.0 0 a_1)) (cB (skS.0 0 a_1)))) True) % 4.30/4.50 (Or (Eq (cowlThing (skS.0 1 a_2)) False) (Eq (Not (cowlNothing (skS.0 1 a_2))) False)))) % 4.30/4.50 Clause #38 (by clausification #[37]): ∀ (a a_1 a_2 : Iota), % 4.30/4.50 Or (Eq (And (Not (cB (skS.0 0 a))) (Not (cA (skS.0 0 a)))) True) % 4.30/4.50 (Or (Eq (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a)))) True) % 4.30/4.50 (Or (Eq (cowlThing (skS.0 1 a_1)) False) % 4.30/4.50 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False) % 4.30/4.50 (Or (Eq (xsd_string (skS.0 2 a_2)) False) (Eq (Not (xsd_integer (skS.0 2 a_2))) False))))) % 4.30/4.50 Clause #39 (by clausification #[37]): ∀ (a a_1 a_2 : Iota), % 4.30/4.50 Or (Eq (And (Not (cB (skS.0 0 a))) (Not (cA (skS.0 0 a)))) True) % 4.30/4.50 (Or (Eq (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a)))) True) % 4.30/4.50 (Or (Eq (cowlThing (skS.0 1 a_1)) False) % 4.30/4.50 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False) % 4.30/4.50 (Or (Eq (xsd_string (skS.0 2 a_2)) True) (Eq (Not (xsd_integer (skS.0 2 a_2))) True))))) % 4.30/4.50 Clause #40 (by clausification #[38]): ∀ (a a_1 a_2 : Iota), % 4.30/4.50 Or (Eq (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a)))) True) % 4.30/4.50 (Or (Eq (cowlThing (skS.0 1 a_1)) False) % 4.30/4.50 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False) % 4.30/4.50 (Or (Eq (xsd_string (skS.0 2 a_2)) False) % 4.30/4.50 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) False) (Eq (Not (cA (skS.0 0 a))) True))))) % 4.30/4.50 Clause #41 (by clausification #[38]): ∀ (a a_1 a_2 : Iota), % 4.30/4.50 Or (Eq (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a)))) True) % 4.30/4.50 (Or (Eq (cowlThing (skS.0 1 a_1)) False) % 4.30/4.50 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False) % 4.30/4.50 (Or (Eq (xsd_string (skS.0 2 a_2)) False) % 4.30/4.50 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) False) (Eq (Not (cB (skS.0 0 a))) True))))) % 4.30/4.50 Clause #42 (by clausification #[40]): ∀ (a a_1 a_2 : Iota), % 4.30/4.53 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.30/4.53 (Or (Eq (Not (cowlNothing (skS.0 1 a))) False) % 4.30/4.53 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 4.30/4.53 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) False) % 4.30/4.53 (Or (Eq (Not (cA (skS.0 0 a_2))) True) (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False))))) % 4.30/4.53 Clause #43 (by clausification #[42]): ∀ (a a_1 a_2 : Iota), % 4.30/4.53 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.30/4.53 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 4.30/4.53 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) False) % 4.30/4.53 (Or (Eq (Not (cA (skS.0 0 a_2))) True) % 4.30/4.53 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False) (Eq (cowlNothing (skS.0 1 a)) True))))) % 4.30/4.53 Clause #44 (by clausification #[43]): ∀ (a a_1 a_2 : Iota), % 4.30/4.53 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.30/4.53 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 4.30/4.53 (Or (Eq (Not (cA (skS.0 0 a_2))) True) % 4.30/4.53 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False) % 4.30/4.53 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) True))))) % 4.30/4.53 Clause #45 (by clausification #[44]): ∀ (a a_1 a_2 : Iota), % 4.30/4.53 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.30/4.53 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 4.30/4.53 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False) % 4.30/4.53 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 4.30/4.53 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (cA (skS.0 0 a_2)) False))))) % 4.30/4.53 Clause #47 (by clausification #[45]): ∀ (a a_1 a_2 : Iota), % 4.30/4.53 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.30/4.53 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 4.30/4.53 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 4.30/4.53 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Or (Eq (cA (skS.0 0 a_2)) False) (Eq (cA (skS.0 0 a_2)) False))))) % 4.30/4.53 Clause #51 (by clausification #[36]): ∀ (a a_1 : Iota), % 4.30/4.53 Or (Eq (xsd_string (skS.0 2 a)) False) % 4.30/4.53 (Or (Eq (xsd_integer (skS.0 2 a)) True) (Or (Eq (cB (skS.0 0 a_1)) True) (Eq (cA (skS.0 0 a_1)) True))) % 4.30/4.53 Clause #53 (by eliminate duplicate literals #[47]): ∀ (a a_1 a_2 : Iota), % 4.30/4.53 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.30/4.53 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 4.30/4.53 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (cA (skS.0 0 a_2)) False)))) % 4.30/4.53 Clause #54 (by forward demodulation #[53, 11]): ∀ (a a_1 a_2 : Iota), % 4.30/4.53 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.30/4.53 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 4.30/4.53 (Or (Eq False True) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (cA (skS.0 0 a_2)) False)))) % 4.30/4.53 Clause #55 (by clausification #[54]): ∀ (a a_1 a_2 : Iota), % 4.30/4.53 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.30/4.53 (Or (Eq (xsd_string (skS.0 2 a_1)) False) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (cA (skS.0 0 a_2)) False))) % 4.30/4.53 Clause #56 (by superposition #[55, 10]): ∀ (a a_1 : Iota), % 4.30/4.53 Or (Eq (xsd_string (skS.0 2 a)) False) % 4.30/4.53 (Or (Eq (xsd_integer (skS.0 2 a)) True) (Or (Eq (cA (skS.0 0 a_1)) False) (Eq False True))) % 4.30/4.53 Clause #57 (by clausification #[56]): ∀ (a a_1 : Iota), % 4.30/4.53 Or (Eq (xsd_string (skS.0 2 a)) False) (Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (cA (skS.0 0 a_1)) False)) % 4.30/4.53 Clause #58 (by clausification #[41]): ∀ (a a_1 a_2 : Iota), % 4.30/4.53 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.30/4.53 (Or (Eq (Not (cowlNothing (skS.0 1 a))) False) % 4.30/4.53 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 4.30/4.53 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) False) % 4.30/4.53 (Or (Eq (Not (cB (skS.0 0 a_2))) True) (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False))))) % 4.30/4.53 Clause #59 (by clausification #[58]): ∀ (a a_1 a_2 : Iota), % 4.30/4.53 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.30/4.53 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 4.30/4.53 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) False) % 4.30/4.53 (Or (Eq (Not (cB (skS.0 0 a_2))) True) % 4.30/4.53 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False) (Eq (cowlNothing (skS.0 1 a)) True))))) % 4.30/4.53 Clause #60 (by clausification #[59]): ∀ (a a_1 a_2 : Iota), % 4.30/4.53 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.30/4.53 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 4.30/4.53 (Or (Eq (Not (cB (skS.0 0 a_2))) True) % 4.30/4.53 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False) % 4.30/4.53 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) True))))) % 4.30/4.53 Clause #61 (by clausification #[60]): ∀ (a a_1 a_2 : Iota), % 4.38/4.55 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.38/4.55 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 4.38/4.55 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False) % 4.38/4.55 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 4.38/4.55 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (cB (skS.0 0 a_2)) False))))) % 4.38/4.55 Clause #62 (by clausification #[61]): ∀ (a a_1 a_2 : Iota), % 4.38/4.55 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.38/4.55 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 4.38/4.55 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 4.38/4.55 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Or (Eq (cB (skS.0 0 a_2)) False) (Eq (cB (skS.0 0 a_2)) False))))) % 4.38/4.55 Clause #64 (by eliminate duplicate literals #[62]): ∀ (a a_1 a_2 : Iota), % 4.38/4.55 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.38/4.55 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 4.38/4.55 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (cB (skS.0 0 a_2)) False)))) % 4.38/4.55 Clause #65 (by forward demodulation #[64, 11]): ∀ (a a_1 a_2 : Iota), % 4.38/4.55 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.38/4.55 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 4.38/4.55 (Or (Eq False True) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (cB (skS.0 0 a_2)) False)))) % 4.38/4.55 Clause #66 (by clausification #[65]): ∀ (a a_1 a_2 : Iota), % 4.38/4.55 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.38/4.55 (Or (Eq (xsd_string (skS.0 2 a_1)) False) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (cB (skS.0 0 a_2)) False))) % 4.38/4.55 Clause #67 (by superposition #[66, 10]): ∀ (a a_1 : Iota), % 4.38/4.55 Or (Eq (xsd_string (skS.0 2 a)) False) % 4.38/4.55 (Or (Eq (xsd_integer (skS.0 2 a)) True) (Or (Eq (cB (skS.0 0 a_1)) False) (Eq False True))) % 4.38/4.55 Clause #68 (by clausification #[25]): ∀ (a a_1 a_2 : Iota), % 4.38/4.55 Or (Eq (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a)))) False) % 4.38/4.55 (Or (Eq (cowlThing (skS.0 1 a_1)) False) % 4.38/4.55 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False) % 4.38/4.55 (Or (Eq (xsd_string (skS.0 2 a_2)) True) % 4.38/4.55 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) True) % 4.38/4.55 (Or (Eq (Not (cB (skS.0 0 a))) False) (Eq (Not (cA (skS.0 0 a))) False)))))) % 4.38/4.55 Clause #69 (by clausification #[68]): ∀ (a a_1 a_2 : Iota), % 4.38/4.55 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.38/4.55 (Or (Eq (Not (cowlNothing (skS.0 1 a))) False) % 4.38/4.55 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 4.38/4.55 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) True) % 4.38/4.55 (Or (Eq (Not (cB (skS.0 0 a_2))) False) % 4.38/4.55 (Or (Eq (Not (cA (skS.0 0 a_2))) False) (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) True)))))) % 4.38/4.55 Clause #70 (by clausification #[69]): ∀ (a a_1 a_2 : Iota), % 4.38/4.55 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.38/4.55 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 4.38/4.55 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) True) % 4.38/4.55 (Or (Eq (Not (cB (skS.0 0 a_2))) False) % 4.38/4.55 (Or (Eq (Not (cA (skS.0 0 a_2))) False) % 4.38/4.55 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) True) (Eq (cowlNothing (skS.0 1 a)) True)))))) % 4.38/4.55 Clause #71 (by clausification #[70]): ∀ (a a_1 a_2 : Iota), % 4.38/4.55 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.38/4.55 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 4.38/4.55 (Or (Eq (Not (cB (skS.0 0 a_2))) False) % 4.38/4.55 (Or (Eq (Not (cA (skS.0 0 a_2))) False) % 4.38/4.55 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) True) % 4.38/4.55 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) False)))))) % 4.38/4.55 Clause #72 (by clausification #[71]): ∀ (a a_1 a_2 : Iota), % 4.38/4.55 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.38/4.55 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 4.38/4.55 (Or (Eq (Not (cA (skS.0 0 a_2))) False) % 4.38/4.55 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) True) % 4.38/4.55 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 4.38/4.55 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Eq (cB (skS.0 0 a_2)) True)))))) % 4.38/4.55 Clause #73 (by clausification #[72]): ∀ (a a_1 a_2 : Iota), % 4.38/4.55 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.38/4.55 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 4.38/4.55 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) True) % 4.38/4.55 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 4.38/4.55 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Or (Eq (cB (skS.0 0 a_2)) True) (Eq (cA (skS.0 0 a_2)) True)))))) % 4.38/4.55 Clause #74 (by clausification #[73]): ∀ (a a_1 a_2 : Iota), % 4.38/4.58 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.38/4.58 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 4.38/4.58 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 4.38/4.58 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) % 4.38/4.58 (Or (Eq (cB (skS.0 0 a_2)) True) % 4.38/4.58 (Or (Eq (cA (skS.0 0 a_2)) True) (Or (Eq (cA (skS.0 0 a_2)) True) (Eq (cB (skS.0 0 a_2)) True))))))) % 4.38/4.58 Clause #75 (by eliminate duplicate literals #[74]): ∀ (a a_1 a_2 : Iota), % 4.38/4.58 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.38/4.58 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 4.38/4.58 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 4.38/4.58 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Or (Eq (cB (skS.0 0 a_2)) True) (Eq (cA (skS.0 0 a_2)) True))))) % 4.38/4.58 Clause #76 (by forward demodulation #[75, 11]): ∀ (a a_1 a_2 : Iota), % 4.38/4.58 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.38/4.58 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 4.38/4.58 (Or (Eq False True) % 4.38/4.58 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Or (Eq (cB (skS.0 0 a_2)) True) (Eq (cA (skS.0 0 a_2)) True))))) % 4.38/4.58 Clause #77 (by clausification #[76]): ∀ (a a_1 a_2 : Iota), % 4.38/4.58 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.38/4.58 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 4.38/4.58 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Or (Eq (cB (skS.0 0 a_2)) True) (Eq (cA (skS.0 0 a_2)) True)))) % 4.38/4.58 Clause #78 (by superposition #[77, 10]): ∀ (a a_1 : Iota), % 4.38/4.58 Or (Eq (xsd_string (skS.0 2 a)) True) % 4.38/4.58 (Or (Eq (xsd_integer (skS.0 2 a)) False) % 4.38/4.58 (Or (Eq (cB (skS.0 0 a_1)) True) (Or (Eq (cA (skS.0 0 a_1)) True) (Eq False True)))) % 4.38/4.58 Clause #79 (by clausification #[67]): ∀ (a a_1 : Iota), % 4.38/4.58 Or (Eq (xsd_string (skS.0 2 a)) False) (Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (cB (skS.0 0 a_1)) False)) % 4.38/4.58 Clause #80 (by clausification #[78]): ∀ (a a_1 : Iota), % 4.38/4.58 Or (Eq (xsd_string (skS.0 2 a)) True) % 4.38/4.58 (Or (Eq (xsd_integer (skS.0 2 a)) False) (Or (Eq (cB (skS.0 0 a_1)) True) (Eq (cA (skS.0 0 a_1)) True))) % 4.38/4.58 Clause #81 (by superposition #[80, 6]): ∀ (a a_1 : Iota), % 4.38/4.58 Or (Eq (xsd_string (skS.0 2 a)) True) % 4.38/4.58 (Or (Eq (cB (skS.0 0 a_1)) True) % 4.38/4.58 (Or (Eq (cA (skS.0 0 a_1)) True) (Or (Eq (xsd_string (skS.0 2 a)) True) (Eq False True)))) % 4.38/4.58 Clause #82 (by clausification #[81]): ∀ (a a_1 : Iota), % 4.38/4.58 Or (Eq (xsd_string (skS.0 2 a)) True) % 4.38/4.58 (Or (Eq (cB (skS.0 0 a_1)) True) (Or (Eq (cA (skS.0 0 a_1)) True) (Eq (xsd_string (skS.0 2 a)) True))) % 4.38/4.58 Clause #83 (by eliminate duplicate literals #[82]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq (cB (skS.0 0 a_1)) True) (Eq (cA (skS.0 0 a_1)) True)) % 4.38/4.58 Clause #84 (by superposition #[83, 51]): ∀ (a a_1 a_2 : Iota), % 4.38/4.58 Or (Eq (cB (skS.0 0 a)) True) % 4.38/4.58 (Or (Eq (cA (skS.0 0 a)) True) % 4.38/4.58 (Or (Eq True False) % 4.38/4.58 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Or (Eq (cB (skS.0 0 a_2)) True) (Eq (cA (skS.0 0 a_2)) True))))) % 4.38/4.58 Clause #87 (by superposition #[83, 7]): ∀ (a a_1 : Iota), % 4.38/4.58 Or (Eq (cB (skS.0 0 a)) True) % 4.38/4.58 (Or (Eq (cA (skS.0 0 a)) True) (Or (Eq True False) (Eq (xsd_integer (skS.0 2 a_1)) False))) % 4.38/4.58 Clause #88 (by clausification #[87]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 0 a)) True) (Or (Eq (cA (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) False)) % 4.38/4.58 Clause #91 (by clausification #[39]): ∀ (a a_1 a_2 : Iota), % 4.38/4.58 Or (Eq (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a)))) True) % 4.38/4.58 (Or (Eq (cowlThing (skS.0 1 a_1)) False) % 4.38/4.58 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False) % 4.38/4.58 (Or (Eq (xsd_string (skS.0 2 a_2)) True) % 4.38/4.58 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) True) (Eq (Not (cA (skS.0 0 a))) True))))) % 4.38/4.58 Clause #92 (by clausification #[39]): ∀ (a a_1 a_2 : Iota), % 4.38/4.58 Or (Eq (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a)))) True) % 4.38/4.58 (Or (Eq (cowlThing (skS.0 1 a_1)) False) % 4.38/4.58 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False) % 4.38/4.58 (Or (Eq (xsd_string (skS.0 2 a_2)) True) % 4.38/4.58 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) True) (Eq (Not (cB (skS.0 0 a))) True))))) % 4.38/4.58 Clause #93 (by clausification #[91]): ∀ (a a_1 a_2 : Iota), % 4.38/4.58 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.38/4.58 (Or (Eq (Not (cowlNothing (skS.0 1 a))) False) % 4.38/4.58 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 4.38/4.58 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) True) % 4.38/4.58 (Or (Eq (Not (cA (skS.0 0 a_2))) True) (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False))))) % 4.38/4.61 Clause #94 (by clausification #[93]): ∀ (a a_1 a_2 : Iota), % 4.38/4.61 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.38/4.61 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 4.38/4.61 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) True) % 4.38/4.61 (Or (Eq (Not (cA (skS.0 0 a_2))) True) % 4.38/4.61 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False) (Eq (cowlNothing (skS.0 1 a)) True))))) % 4.38/4.61 Clause #95 (by clausification #[94]): ∀ (a a_1 a_2 : Iota), % 4.38/4.61 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.38/4.61 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 4.38/4.61 (Or (Eq (Not (cA (skS.0 0 a_2))) True) % 4.38/4.61 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False) % 4.38/4.61 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) False))))) % 4.38/4.61 Clause #96 (by clausification #[95]): ∀ (a a_1 a_2 : Iota), % 4.38/4.61 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.38/4.61 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 4.38/4.61 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False) % 4.38/4.61 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 4.38/4.61 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Eq (cA (skS.0 0 a_2)) False))))) % 4.38/4.61 Clause #98 (by clausification #[96]): ∀ (a a_1 a_2 : Iota), % 4.38/4.61 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.38/4.61 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 4.38/4.61 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 4.38/4.61 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Or (Eq (cA (skS.0 0 a_2)) False) (Eq (cA (skS.0 0 a_2)) False))))) % 4.38/4.61 Clause #113 (by clausification #[84]): ∀ (a a_1 a_2 : Iota), % 4.38/4.61 Or (Eq (cB (skS.0 0 a)) True) % 4.38/4.61 (Or (Eq (cA (skS.0 0 a)) True) % 4.38/4.61 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Or (Eq (cB (skS.0 0 a_2)) True) (Eq (cA (skS.0 0 a_2)) True)))) % 4.38/4.61 Clause #119 (by equality factoring #[113]): ∀ (a a_1 : Iota), % 4.38/4.61 Or (Eq (cB (skS.0 0 a)) True) % 4.38/4.61 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) % 4.38/4.61 (Or (Eq (cB (skS.0 0 a)) True) (Or (Ne True True) (Eq (cA (skS.0 0 a)) True)))) % 4.38/4.61 Clause #120 (by clausification #[119]): ∀ (a a_1 : Iota), % 4.38/4.61 Or (Eq (cB (skS.0 0 a)) True) % 4.38/4.61 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) % 4.38/4.61 (Or (Eq (cB (skS.0 0 a)) True) (Or (Eq (cA (skS.0 0 a)) True) (Or (Eq True False) (Eq True False))))) % 4.38/4.61 Clause #122 (by clausification #[120]): ∀ (a a_1 : Iota), % 4.38/4.61 Or (Eq (cB (skS.0 0 a)) True) % 4.38/4.61 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) % 4.38/4.61 (Or (Eq (cB (skS.0 0 a)) True) (Or (Eq (cA (skS.0 0 a)) True) (Eq True False)))) % 4.38/4.61 Clause #123 (by clausification #[122]): ∀ (a a_1 : Iota), % 4.38/4.61 Or (Eq (cB (skS.0 0 a)) True) % 4.38/4.61 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Or (Eq (cB (skS.0 0 a)) True) (Eq (cA (skS.0 0 a)) True))) % 4.38/4.61 Clause #124 (by eliminate duplicate literals #[123]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 0 a)) True) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (cA (skS.0 0 a)) True)) % 4.38/4.61 Clause #125 (by superposition #[124, 88]): ∀ (a a_1 : Iota), % 4.38/4.61 Or (Eq (cB (skS.0 0 a)) True) % 4.38/4.61 (Or (Eq (cA (skS.0 0 a)) True) (Or (Eq (cB (skS.0 0 a_1)) True) (Or (Eq (cA (skS.0 0 a_1)) True) (Eq True False)))) % 4.38/4.61 Clause #128 (by clausification #[125]): ∀ (a a_1 : Iota), % 4.38/4.61 Or (Eq (cB (skS.0 0 a)) True) % 4.38/4.61 (Or (Eq (cA (skS.0 0 a)) True) (Or (Eq (cB (skS.0 0 a_1)) True) (Eq (cA (skS.0 0 a_1)) True))) % 4.38/4.61 Clause #131 (by equality factoring #[128]): ∀ (a : Iota), % 4.38/4.61 Or (Eq (cB (skS.0 0 a)) True) (Or (Eq (cB (skS.0 0 a)) True) (Or (Ne True True) (Eq (cA (skS.0 0 a)) True))) % 4.38/4.61 Clause #132 (by clausification #[131]): ∀ (a : Iota), % 4.38/4.61 Or (Eq (cB (skS.0 0 a)) True) % 4.38/4.61 (Or (Eq (cB (skS.0 0 a)) True) (Or (Eq (cA (skS.0 0 a)) True) (Or (Eq True False) (Eq True False)))) % 4.38/4.61 Clause #134 (by clausification #[132]): ∀ (a : Iota), % 4.38/4.61 Or (Eq (cB (skS.0 0 a)) True) (Or (Eq (cB (skS.0 0 a)) True) (Or (Eq (cA (skS.0 0 a)) True) (Eq True False))) % 4.38/4.61 Clause #135 (by clausification #[134]): ∀ (a : Iota), Or (Eq (cB (skS.0 0 a)) True) (Or (Eq (cB (skS.0 0 a)) True) (Eq (cA (skS.0 0 a)) True)) % 4.38/4.61 Clause #136 (by eliminate duplicate literals #[135]): ∀ (a : Iota), Or (Eq (cB (skS.0 0 a)) True) (Eq (cA (skS.0 0 a)) True) % 4.38/4.61 Clause #138 (by clausification #[92]): ∀ (a a_1 a_2 : Iota), % 4.38/4.61 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.38/4.61 (Or (Eq (Not (cowlNothing (skS.0 1 a))) False) % 4.44/4.64 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 4.44/4.64 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) True) % 4.44/4.64 (Or (Eq (Not (cB (skS.0 0 a_2))) True) (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False))))) % 4.44/4.64 Clause #139 (by clausification #[138]): ∀ (a a_1 a_2 : Iota), % 4.44/4.64 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.44/4.64 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 4.44/4.64 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) True) % 4.44/4.64 (Or (Eq (Not (cB (skS.0 0 a_2))) True) % 4.44/4.64 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False) (Eq (cowlNothing (skS.0 1 a)) True))))) % 4.44/4.64 Clause #140 (by clausification #[139]): ∀ (a a_1 a_2 : Iota), % 4.44/4.64 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.44/4.64 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 4.44/4.64 (Or (Eq (Not (cB (skS.0 0 a_2))) True) % 4.44/4.64 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False) % 4.44/4.64 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) False))))) % 4.44/4.64 Clause #141 (by clausification #[140]): ∀ (a a_1 a_2 : Iota), % 4.44/4.64 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.44/4.64 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 4.44/4.64 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False) % 4.44/4.64 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 4.44/4.64 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Eq (cB (skS.0 0 a_2)) False))))) % 4.44/4.64 Clause #142 (by clausification #[141]): ∀ (a a_1 a_2 : Iota), % 4.44/4.64 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.44/4.64 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 4.44/4.64 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 4.44/4.64 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Or (Eq (cB (skS.0 0 a_2)) False) (Eq (cB (skS.0 0 a_2)) False))))) % 4.44/4.64 Clause #144 (by eliminate duplicate literals #[142]): ∀ (a a_1 a_2 : Iota), % 4.44/4.64 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.44/4.64 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 4.44/4.64 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 4.44/4.64 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Eq (cB (skS.0 0 a_2)) False)))) % 4.44/4.64 Clause #145 (by forward demodulation #[144, 11]): ∀ (a a_1 a_2 : Iota), % 4.44/4.64 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.44/4.64 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 4.44/4.64 (Or (Eq False True) (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Eq (cB (skS.0 0 a_2)) False)))) % 4.44/4.64 Clause #146 (by clausification #[145]): ∀ (a a_1 a_2 : Iota), % 4.44/4.64 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.44/4.64 (Or (Eq (xsd_string (skS.0 2 a_1)) True) (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Eq (cB (skS.0 0 a_2)) False))) % 4.44/4.64 Clause #147 (by superposition #[146, 10]): ∀ (a a_1 : Iota), % 4.44/4.64 Or (Eq (xsd_string (skS.0 2 a)) True) % 4.44/4.64 (Or (Eq (xsd_integer (skS.0 2 a)) False) (Or (Eq (cB (skS.0 0 a_1)) False) (Eq False True))) % 4.44/4.64 Clause #148 (by clausification #[147]): ∀ (a a_1 : Iota), % 4.44/4.64 Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq (xsd_integer (skS.0 2 a)) False) (Eq (cB (skS.0 0 a_1)) False)) % 4.44/4.64 Clause #149 (by superposition #[148, 6]): ∀ (a a_1 : Iota), % 4.44/4.64 Or (Eq (xsd_string (skS.0 2 a)) True) % 4.44/4.64 (Or (Eq (cB (skS.0 0 a_1)) False) (Or (Eq (xsd_string (skS.0 2 a)) True) (Eq False True))) % 4.44/4.64 Clause #150 (by clausification #[149]): ∀ (a a_1 : Iota), % 4.44/4.64 Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq (cB (skS.0 0 a_1)) False) (Eq (xsd_string (skS.0 2 a)) True)) % 4.44/4.64 Clause #151 (by eliminate duplicate literals #[150]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Eq (cB (skS.0 0 a_1)) False) % 4.44/4.64 Clause #153 (by eliminate duplicate literals #[98]): ∀ (a a_1 a_2 : Iota), % 4.44/4.64 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.44/4.64 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 4.44/4.64 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 4.44/4.64 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Eq (cA (skS.0 0 a_2)) False)))) % 4.44/4.64 Clause #154 (by forward demodulation #[153, 11]): ∀ (a a_1 a_2 : Iota), % 4.44/4.64 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.44/4.64 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 4.44/4.64 (Or (Eq False True) (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Eq (cA (skS.0 0 a_2)) False)))) % 4.44/4.64 Clause #155 (by clausification #[154]): ∀ (a a_1 a_2 : Iota), % 4.44/4.64 Or (Eq (cowlThing (skS.0 1 a)) False) % 4.44/4.64 (Or (Eq (xsd_string (skS.0 2 a_1)) True) (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Eq (cA (skS.0 0 a_2)) False))) % 4.44/4.64 Clause #156 (by superposition #[155, 10]): ∀ (a a_1 : Iota), % 4.49/4.66 Or (Eq (xsd_string (skS.0 2 a)) True) % 4.49/4.66 (Or (Eq (xsd_integer (skS.0 2 a)) False) (Or (Eq (cA (skS.0 0 a_1)) False) (Eq False True))) % 4.49/4.66 Clause #157 (by clausification #[156]): ∀ (a a_1 : Iota), % 4.49/4.66 Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq (xsd_integer (skS.0 2 a)) False) (Eq (cA (skS.0 0 a_1)) False)) % 4.49/4.66 Clause #158 (by superposition #[157, 6]): ∀ (a a_1 : Iota), % 4.49/4.66 Or (Eq (xsd_string (skS.0 2 a)) True) % 4.49/4.66 (Or (Eq (cA (skS.0 0 a_1)) False) (Or (Eq (xsd_string (skS.0 2 a)) True) (Eq False True))) % 4.49/4.66 Clause #159 (by clausification #[158]): ∀ (a a_1 : Iota), % 4.49/4.66 Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq (cA (skS.0 0 a_1)) False) (Eq (xsd_string (skS.0 2 a)) True)) % 4.49/4.66 Clause #160 (by eliminate duplicate literals #[159]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Eq (cA (skS.0 0 a_1)) False) % 4.49/4.66 Clause #161 (by superposition #[160, 136]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq (cB (skS.0 0 a_1)) True) (Eq False True)) % 4.49/4.66 Clause #162 (by clausification #[161]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Eq (cB (skS.0 0 a_1)) True) % 4.49/4.66 Clause #166 (by superposition #[162, 151]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq (xsd_string (skS.0 2 a_1)) True) (Eq True False)) % 4.49/4.66 Clause #167 (by clausification #[166]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Eq (xsd_string (skS.0 2 a_1)) True) % 4.49/4.66 Clause #171 (by equality factoring #[167]): ∀ (a : Iota), Or (Ne True True) (Eq (xsd_string (skS.0 2 a)) True) % 4.49/4.66 Clause #172 (by clausification #[171]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq True False) (Eq True False)) % 4.49/4.66 Clause #174 (by clausification #[172]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Eq True False) % 4.49/4.66 Clause #175 (by clausification #[174]): ∀ (a : Iota), Eq (xsd_string (skS.0 2 a)) True % 4.49/4.66 Clause #176 (by backward demodulation #[175, 57]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (cA (skS.0 0 a_1)) False)) % 4.49/4.66 Clause #177 (by backward demodulation #[175, 79]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (cB (skS.0 0 a_1)) False)) % 4.49/4.66 Clause #178 (by superposition #[175, 7]): ∀ (a : Iota), Or (Eq True False) (Eq (xsd_integer (skS.0 2 a)) False) % 4.49/4.66 Clause #180 (by clausification #[178]): ∀ (a : Iota), Eq (xsd_integer (skS.0 2 a)) False % 4.49/4.66 Clause #182 (by clausification #[177]): ∀ (a a_1 : Iota), Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (cB (skS.0 0 a_1)) False) % 4.49/4.66 Clause #183 (by clausification #[176]): ∀ (a a_1 : Iota), Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (cA (skS.0 0 a_1)) False) % 4.49/4.66 Clause #184 (by superposition #[183, 136]): ∀ (a a_1 : Iota), Or (Eq (xsd_integer (skS.0 2 a)) True) (Or (Eq (cB (skS.0 0 a_1)) True) (Eq False True)) % 4.49/4.66 Clause #186 (by clausification #[184]): ∀ (a a_1 : Iota), Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (cB (skS.0 0 a_1)) True) % 4.49/4.66 Clause #187 (by superposition #[186, 180]): ∀ (a : Iota), Or (Eq (cB (skS.0 0 a)) True) (Eq True False) % 4.49/4.66 Clause #189 (by clausification #[187]): ∀ (a : Iota), Eq (cB (skS.0 0 a)) True % 4.49/4.66 Clause #191 (by superposition #[189, 182]): ∀ (a : Iota), Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq True False) % 4.49/4.66 Clause #192 (by clausification #[191]): ∀ (a : Iota), Eq (xsd_integer (skS.0 2 a)) True % 4.49/4.66 Clause #193 (by superposition #[192, 180]): Eq True False % 4.49/4.66 Clause #194 (by clausification #[193]): False % 4.49/4.66 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------