%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KRS143+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n023.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 07:52:42 PM UTC 2025 % Result : Theorem 5.55s 5.73s % Output : Proof 5.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : KRS143+1 : TPTP v9.2.0. Released v3.1.0. % 0.11/0.13 % Command : duper %s % 0.13/0.34 % Computer : n023.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 : Thu Oct 2 10:23:53 EDT 2025 % 0.13/0.34 % CPUTime : % 5.55/5.73 SZS status Theorem for theBenchmark.p % 5.55/5.73 SZS output start Proof for theBenchmark.p % 5.55/5.73 Clause #7 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True % 5.55/5.73 Clause #8 (by assumption #[]): Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) True % 5.55/5.73 Clause #9 (by assumption #[]): Eq (∀ (X : Iota), cc X → Exists fun Y0 => rp X Y0) True % 5.55/5.73 Clause #10 (by assumption #[]): Eq (∀ (X : Iota), cc X → ∀ (Y0 Y1 : Iota), And (rp X Y0) (rp X Y1) → Eq Y0 Y1) True % 5.55/5.73 Clause #11 (by assumption #[]): Eq % 5.55/5.73 (Not % 5.55/5.73 (And % 5.55/5.73 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 5.55/5.73 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 5.55/5.73 (∀ (X : Iota), cc X → And (Exists fun Y0 => rp X Y0) (∀ (Y0 Y1 : Iota), And (rp X Y0) (rp X Y1) → Eq Y0 Y1)))) % 5.55/5.73 True % 5.55/5.73 Clause #55 (by clausification #[7]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True % 5.55/5.73 Clause #56 (by clausification #[55]): ∀ (a : Iota), Eq (Not (cowlNothing a)) True % 5.55/5.73 Clause #57 (by clausification #[55]): ∀ (a : Iota), Eq (cowlThing a) True % 5.55/5.73 Clause #58 (by clausification #[56]): ∀ (a : Iota), Eq (cowlNothing a) False % 5.55/5.73 Clause #59 (by clausification #[8]): ∀ (a : Iota), Eq (Iff (xsd_string a) (Not (xsd_integer a))) True % 5.55/5.73 Clause #60 (by clausification #[59]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (Not (xsd_integer a)) False) % 5.55/5.73 Clause #61 (by clausification #[59]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (Not (xsd_integer a)) True) % 5.55/5.73 Clause #62 (by clausification #[60]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (xsd_integer a) True) % 5.55/5.73 Clause #63 (by clausification #[61]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (xsd_integer a) False) % 5.55/5.73 Clause #64 (by betaEtaReduce #[9]): Eq (∀ (X : Iota), cc X → Exists (rp X)) True % 5.55/5.73 Clause #65 (by clausification #[64]): ∀ (a : Iota), Eq (cc a → Exists (rp a)) True % 5.55/5.73 Clause #66 (by clausification #[65]): ∀ (a : Iota), Or (Eq (cc a) False) (Eq (Exists (rp a)) True) % 5.55/5.73 Clause #67 (by clausification #[66]): ∀ (a a_1 : Iota), Or (Eq (cc a) False) (Eq (rp a (skS.0 0 a a_1)) True) % 5.55/5.73 Clause #68 (by clausification #[10]): ∀ (a : Iota), Eq (cc a → ∀ (Y0 Y1 : Iota), And (rp a Y0) (rp a Y1) → Eq Y0 Y1) True % 5.55/5.73 Clause #69 (by clausification #[68]): ∀ (a : Iota), Or (Eq (cc a) False) (Eq (∀ (Y0 Y1 : Iota), And (rp a Y0) (rp a Y1) → Eq Y0 Y1) True) % 5.55/5.73 Clause #70 (by clausification #[69]): ∀ (a a_1 : Iota), Or (Eq (cc a) False) (Eq (∀ (Y1 : Iota), And (rp a a_1) (rp a Y1) → Eq a_1 Y1) True) % 5.55/5.73 Clause #71 (by clausification #[70]): ∀ (a a_1 a_2 : Iota), Or (Eq (cc a) False) (Eq (And (rp a a_1) (rp a a_2) → Eq a_1 a_2) True) % 5.55/5.73 Clause #72 (by clausification #[71]): ∀ (a a_1 a_2 : Iota), Or (Eq (cc a) False) (Or (Eq (And (rp a a_1) (rp a a_2)) False) (Eq (Eq a_1 a_2) True)) % 5.55/5.73 Clause #73 (by clausification #[72]): ∀ (a a_1 a_2 : Iota), Or (Eq (cc a) False) (Or (Eq (Eq a_1 a_2) True) (Or (Eq (rp a a_1) False) (Eq (rp a a_2) False))) % 5.55/5.73 Clause #74 (by clausification #[73]): ∀ (a a_1 a_2 : Iota), Or (Eq (cc a) False) (Or (Eq (rp a a_1) False) (Or (Eq (rp a a_2) False) (Eq a_1 a_2))) % 5.55/5.73 Clause #75 (by betaEtaReduce #[11]): Eq % 5.55/5.73 (Not % 5.55/5.73 (And % 5.55/5.73 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 5.55/5.73 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 5.55/5.73 (∀ (X : Iota), cc X → And (Exists (rp X)) (∀ (Y0 Y1 : Iota), And (rp X Y0) (rp X Y1) → Eq Y0 Y1)))) % 5.55/5.73 True % 5.55/5.73 Clause #76 (by clausification #[75]): Eq % 5.55/5.73 (And % 5.55/5.73 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 5.55/5.73 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 5.55/5.73 (∀ (X : Iota), cc X → And (Exists (rp X)) (∀ (Y0 Y1 : Iota), And (rp X Y0) (rp X Y1) → Eq Y0 Y1))) % 5.55/5.73 False % 5.55/5.73 Clause #77 (by clausification #[76]): Or % 5.55/5.73 (Eq % 5.55/5.73 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 5.55/5.73 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 5.55/5.73 False) % 5.55/5.73 (Eq (∀ (X : Iota), cc X → And (Exists (rp X)) (∀ (Y0 Y1 : Iota), And (rp X Y0) (rp X Y1) → Eq Y0 Y1)) False) % 5.55/5.73 Clause #78 (by clausification #[77]): Or (Eq (∀ (X : Iota), cc X → And (Exists (rp X)) (∀ (Y0 Y1 : Iota), And (rp X Y0) (rp X Y1) → Eq Y0 Y1)) False) % 5.55/5.76 (Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False) % 5.55/5.76 (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)) % 5.55/5.76 Clause #79 (by clausification #[78]): ∀ (a : Iota), % 5.55/5.76 Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False) % 5.55/5.76 (Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False) % 5.55/5.76 (Eq % 5.55/5.76 (Not % 5.55/5.76 (cc (skS.0 1 a) → % 5.55/5.76 And (Exists (rp (skS.0 1 a))) (∀ (Y0 Y1 : Iota), And (rp (skS.0 1 a) Y0) (rp (skS.0 1 a) Y1) → Eq Y0 Y1))) % 5.55/5.76 True)) % 5.55/5.76 Clause #80 (by clausification #[79]): ∀ (a a_1 : Iota), % 5.55/5.76 Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False) % 5.55/5.76 (Or % 5.55/5.76 (Eq % 5.55/5.76 (Not % 5.55/5.76 (cc (skS.0 1 a) → % 5.55/5.76 And (Exists (rp (skS.0 1 a))) (∀ (Y0 Y1 : Iota), And (rp (skS.0 1 a) Y0) (rp (skS.0 1 a) Y1) → Eq Y0 Y1))) % 5.55/5.76 True) % 5.55/5.76 (Eq (Not (And (cowlThing (skS.0 2 a_1)) (Not (cowlNothing (skS.0 2 a_1))))) True)) % 5.55/5.76 Clause #81 (by clausification #[80]): ∀ (a a_1 a_2 : Iota), % 5.55/5.76 Or % 5.55/5.76 (Eq % 5.55/5.76 (Not % 5.55/5.76 (cc (skS.0 1 a) → % 5.55/5.76 And (Exists (rp (skS.0 1 a))) (∀ (Y0 Y1 : Iota), And (rp (skS.0 1 a) Y0) (rp (skS.0 1 a) Y1) → Eq Y0 Y1))) % 5.55/5.76 True) % 5.55/5.76 (Or (Eq (Not (And (cowlThing (skS.0 2 a_1)) (Not (cowlNothing (skS.0 2 a_1))))) True) % 5.55/5.76 (Eq (Not (Iff (xsd_string (skS.0 3 a_2)) (Not (xsd_integer (skS.0 3 a_2))))) True)) % 5.55/5.76 Clause #82 (by clausification #[81]): ∀ (a a_1 a_2 : Iota), % 5.55/5.76 Or (Eq (Not (And (cowlThing (skS.0 2 a)) (Not (cowlNothing (skS.0 2 a))))) True) % 5.55/5.76 (Or (Eq (Not (Iff (xsd_string (skS.0 3 a_1)) (Not (xsd_integer (skS.0 3 a_1))))) True) % 5.55/5.76 (Eq % 5.55/5.76 (cc (skS.0 1 a_2) → % 5.55/5.76 And (Exists (rp (skS.0 1 a_2))) % 5.55/5.76 (∀ (Y0 Y1 : Iota), And (rp (skS.0 1 a_2) Y0) (rp (skS.0 1 a_2) Y1) → Eq Y0 Y1)) % 5.55/5.76 False)) % 5.55/5.76 Clause #83 (by clausification #[82]): ∀ (a a_1 a_2 : Iota), % 5.55/5.76 Or (Eq (Not (Iff (xsd_string (skS.0 3 a)) (Not (xsd_integer (skS.0 3 a))))) True) % 5.55/5.76 (Or % 5.55/5.76 (Eq % 5.55/5.76 (cc (skS.0 1 a_1) → % 5.55/5.76 And (Exists (rp (skS.0 1 a_1))) % 5.55/5.76 (∀ (Y0 Y1 : Iota), And (rp (skS.0 1 a_1) Y0) (rp (skS.0 1 a_1) Y1) → Eq Y0 Y1)) % 5.55/5.76 False) % 5.55/5.76 (Eq (And (cowlThing (skS.0 2 a_2)) (Not (cowlNothing (skS.0 2 a_2)))) False)) % 5.55/5.76 Clause #84 (by clausification #[83]): ∀ (a a_1 a_2 : Iota), % 5.55/5.76 Or % 5.55/5.76 (Eq % 5.55/5.76 (cc (skS.0 1 a) → % 5.55/5.76 And (Exists (rp (skS.0 1 a))) (∀ (Y0 Y1 : Iota), And (rp (skS.0 1 a) Y0) (rp (skS.0 1 a) Y1) → Eq Y0 Y1)) % 5.55/5.76 False) % 5.55/5.76 (Or (Eq (And (cowlThing (skS.0 2 a_1)) (Not (cowlNothing (skS.0 2 a_1)))) False) % 5.55/5.76 (Eq (Iff (xsd_string (skS.0 3 a_2)) (Not (xsd_integer (skS.0 3 a_2)))) False)) % 5.55/5.76 Clause #85 (by clausification #[84]): ∀ (a a_1 a_2 : Iota), % 5.55/5.76 Or (Eq (And (cowlThing (skS.0 2 a)) (Not (cowlNothing (skS.0 2 a)))) False) % 5.55/5.76 (Or (Eq (Iff (xsd_string (skS.0 3 a_1)) (Not (xsd_integer (skS.0 3 a_1)))) False) (Eq (cc (skS.0 1 a_2)) True)) % 5.55/5.76 Clause #86 (by clausification #[84]): ∀ (a a_1 a_2 : Iota), % 5.55/5.76 Or (Eq (And (cowlThing (skS.0 2 a)) (Not (cowlNothing (skS.0 2 a)))) False) % 5.55/5.76 (Or (Eq (Iff (xsd_string (skS.0 3 a_1)) (Not (xsd_integer (skS.0 3 a_1)))) False) % 5.55/5.76 (Eq % 5.55/5.76 (And (Exists (rp (skS.0 1 a_2))) (∀ (Y0 Y1 : Iota), And (rp (skS.0 1 a_2) Y0) (rp (skS.0 1 a_2) Y1) → Eq Y0 Y1)) % 5.55/5.76 False)) % 5.55/5.76 Clause #87 (by clausification #[85]): ∀ (a a_1 a_2 : Iota), % 5.55/5.76 Or (Eq (Iff (xsd_string (skS.0 3 a)) (Not (xsd_integer (skS.0 3 a)))) False) % 5.55/5.76 (Or (Eq (cc (skS.0 1 a_1)) True) % 5.55/5.76 (Or (Eq (cowlThing (skS.0 2 a_2)) False) (Eq (Not (cowlNothing (skS.0 2 a_2))) False))) % 5.55/5.76 Clause #88 (by clausification #[87]): ∀ (a a_1 a_2 : Iota), % 5.55/5.76 Or (Eq (cc (skS.0 1 a)) True) % 5.55/5.76 (Or (Eq (cowlThing (skS.0 2 a_1)) False) % 5.55/5.76 (Or (Eq (Not (cowlNothing (skS.0 2 a_1))) False) % 5.55/5.76 (Or (Eq (xsd_string (skS.0 3 a_2)) False) (Eq (Not (xsd_integer (skS.0 3 a_2))) False)))) % 5.55/5.76 Clause #89 (by clausification #[87]): ∀ (a a_1 a_2 : Iota), % 5.55/5.76 Or (Eq (cc (skS.0 1 a)) True) % 5.55/5.76 (Or (Eq (cowlThing (skS.0 2 a_1)) False) % 5.55/5.76 (Or (Eq (Not (cowlNothing (skS.0 2 a_1))) False) % 5.55/5.79 (Or (Eq (xsd_string (skS.0 3 a_2)) True) (Eq (Not (xsd_integer (skS.0 3 a_2))) True)))) % 5.55/5.79 Clause #90 (by clausification #[88]): ∀ (a a_1 a_2 : Iota), % 5.55/5.79 Or (Eq (cc (skS.0 1 a)) True) % 5.55/5.79 (Or (Eq (cowlThing (skS.0 2 a_1)) False) % 5.55/5.79 (Or (Eq (xsd_string (skS.0 3 a_2)) False) % 5.55/5.79 (Or (Eq (Not (xsd_integer (skS.0 3 a_2))) False) (Eq (cowlNothing (skS.0 2 a_1)) True)))) % 5.55/5.79 Clause #91 (by clausification #[90]): ∀ (a a_1 a_2 : Iota), % 5.55/5.79 Or (Eq (cc (skS.0 1 a)) True) % 5.55/5.79 (Or (Eq (cowlThing (skS.0 2 a_1)) False) % 5.55/5.79 (Or (Eq (xsd_string (skS.0 3 a_2)) False) % 5.55/5.79 (Or (Eq (cowlNothing (skS.0 2 a_1)) True) (Eq (xsd_integer (skS.0 3 a_2)) True)))) % 5.55/5.79 Clause #92 (by forward demodulation #[91, 58]): ∀ (a a_1 a_2 : Iota), % 5.55/5.79 Or (Eq (cc (skS.0 1 a)) True) % 5.55/5.79 (Or (Eq (cowlThing (skS.0 2 a_1)) False) % 5.55/5.79 (Or (Eq (xsd_string (skS.0 3 a_2)) False) (Or (Eq False True) (Eq (xsd_integer (skS.0 3 a_2)) True)))) % 5.55/5.79 Clause #93 (by clausification #[92]): ∀ (a a_1 a_2 : Iota), % 5.55/5.79 Or (Eq (cc (skS.0 1 a)) True) % 5.55/5.79 (Or (Eq (cowlThing (skS.0 2 a_1)) False) % 5.55/5.79 (Or (Eq (xsd_string (skS.0 3 a_2)) False) (Eq (xsd_integer (skS.0 3 a_2)) True))) % 5.55/5.79 Clause #94 (by superposition #[93, 57]): ∀ (a a_1 : Iota), % 5.55/5.79 Or (Eq (cc (skS.0 1 a)) True) % 5.55/5.79 (Or (Eq (xsd_string (skS.0 3 a_1)) False) (Or (Eq (xsd_integer (skS.0 3 a_1)) True) (Eq False True))) % 5.55/5.79 Clause #95 (by clausification #[94]): ∀ (a a_1 : Iota), % 5.55/5.79 Or (Eq (cc (skS.0 1 a)) True) (Or (Eq (xsd_string (skS.0 3 a_1)) False) (Eq (xsd_integer (skS.0 3 a_1)) True)) % 5.55/5.79 Clause #96 (by clausification #[89]): ∀ (a a_1 a_2 : Iota), % 5.55/5.79 Or (Eq (cc (skS.0 1 a)) True) % 5.55/5.79 (Or (Eq (cowlThing (skS.0 2 a_1)) False) % 5.55/5.79 (Or (Eq (xsd_string (skS.0 3 a_2)) True) % 5.55/5.79 (Or (Eq (Not (xsd_integer (skS.0 3 a_2))) True) (Eq (cowlNothing (skS.0 2 a_1)) True)))) % 5.55/5.79 Clause #97 (by clausification #[96]): ∀ (a a_1 a_2 : Iota), % 5.55/5.79 Or (Eq (cc (skS.0 1 a)) True) % 5.55/5.79 (Or (Eq (cowlThing (skS.0 2 a_1)) False) % 5.55/5.79 (Or (Eq (xsd_string (skS.0 3 a_2)) True) % 5.55/5.79 (Or (Eq (cowlNothing (skS.0 2 a_1)) True) (Eq (xsd_integer (skS.0 3 a_2)) False)))) % 5.55/5.79 Clause #98 (by forward demodulation #[97, 58]): ∀ (a a_1 a_2 : Iota), % 5.55/5.79 Or (Eq (cc (skS.0 1 a)) True) % 5.55/5.79 (Or (Eq (cowlThing (skS.0 2 a_1)) False) % 5.55/5.79 (Or (Eq (xsd_string (skS.0 3 a_2)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 3 a_2)) False)))) % 5.55/5.79 Clause #99 (by clausification #[98]): ∀ (a a_1 a_2 : Iota), % 5.55/5.79 Or (Eq (cc (skS.0 1 a)) True) % 5.55/5.79 (Or (Eq (cowlThing (skS.0 2 a_1)) False) % 5.55/5.79 (Or (Eq (xsd_string (skS.0 3 a_2)) True) (Eq (xsd_integer (skS.0 3 a_2)) False))) % 5.55/5.79 Clause #100 (by superposition #[99, 57]): ∀ (a a_1 : Iota), % 5.55/5.79 Or (Eq (cc (skS.0 1 a)) True) % 5.55/5.79 (Or (Eq (xsd_string (skS.0 3 a_1)) True) (Or (Eq (xsd_integer (skS.0 3 a_1)) False) (Eq False True))) % 5.55/5.79 Clause #101 (by clausification #[100]): ∀ (a a_1 : Iota), % 5.55/5.79 Or (Eq (cc (skS.0 1 a)) True) (Or (Eq (xsd_string (skS.0 3 a_1)) True) (Eq (xsd_integer (skS.0 3 a_1)) False)) % 5.55/5.79 Clause #102 (by superposition #[101, 62]): ∀ (a a_1 : Iota), % 5.55/5.79 Or (Eq (cc (skS.0 1 a)) True) % 5.55/5.79 (Or (Eq (xsd_string (skS.0 3 a_1)) True) (Or (Eq (xsd_string (skS.0 3 a_1)) True) (Eq False True))) % 5.55/5.79 Clause #103 (by clausification #[86]): ∀ (a a_1 a_2 : Iota), % 5.55/5.79 Or (Eq (Iff (xsd_string (skS.0 3 a)) (Not (xsd_integer (skS.0 3 a)))) False) % 5.55/5.79 (Or % 5.55/5.79 (Eq % 5.55/5.79 (And (Exists (rp (skS.0 1 a_1))) (∀ (Y0 Y1 : Iota), And (rp (skS.0 1 a_1) Y0) (rp (skS.0 1 a_1) Y1) → Eq Y0 Y1)) % 5.55/5.79 False) % 5.55/5.79 (Or (Eq (cowlThing (skS.0 2 a_2)) False) (Eq (Not (cowlNothing (skS.0 2 a_2))) False))) % 5.55/5.79 Clause #104 (by clausification #[103]): ∀ (a a_1 a_2 : Iota), % 5.55/5.79 Or % 5.55/5.79 (Eq (And (Exists (rp (skS.0 1 a))) (∀ (Y0 Y1 : Iota), And (rp (skS.0 1 a) Y0) (rp (skS.0 1 a) Y1) → Eq Y0 Y1)) % 5.55/5.79 False) % 5.55/5.79 (Or (Eq (cowlThing (skS.0 2 a_1)) False) % 5.55/5.79 (Or (Eq (Not (cowlNothing (skS.0 2 a_1))) False) % 5.55/5.79 (Or (Eq (xsd_string (skS.0 3 a_2)) False) (Eq (Not (xsd_integer (skS.0 3 a_2))) False)))) % 5.55/5.79 Clause #105 (by clausification #[103]): ∀ (a a_1 a_2 : Iota), % 5.55/5.79 Or % 5.55/5.79 (Eq (And (Exists (rp (skS.0 1 a))) (∀ (Y0 Y1 : Iota), And (rp (skS.0 1 a) Y0) (rp (skS.0 1 a) Y1) → Eq Y0 Y1)) % 5.63/5.81 False) % 5.63/5.81 (Or (Eq (cowlThing (skS.0 2 a_1)) False) % 5.63/5.81 (Or (Eq (Not (cowlNothing (skS.0 2 a_1))) False) % 5.63/5.81 (Or (Eq (xsd_string (skS.0 3 a_2)) True) (Eq (Not (xsd_integer (skS.0 3 a_2))) True)))) % 5.63/5.81 Clause #106 (by clausification #[104]): ∀ (a a_1 a_2 : Iota), % 5.63/5.81 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.63/5.81 (Or (Eq (Not (cowlNothing (skS.0 2 a))) False) % 5.63/5.81 (Or (Eq (xsd_string (skS.0 3 a_1)) False) % 5.63/5.81 (Or (Eq (Not (xsd_integer (skS.0 3 a_1))) False) % 5.63/5.81 (Or (Eq (Exists (rp (skS.0 1 a_2))) False) % 5.63/5.81 (Eq (∀ (Y0 Y1 : Iota), And (rp (skS.0 1 a_2) Y0) (rp (skS.0 1 a_2) Y1) → Eq Y0 Y1) False))))) % 5.63/5.81 Clause #107 (by clausification #[106]): ∀ (a a_1 a_2 : Iota), % 5.63/5.81 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.63/5.81 (Or (Eq (xsd_string (skS.0 3 a_1)) False) % 5.63/5.81 (Or (Eq (Not (xsd_integer (skS.0 3 a_1))) False) % 5.63/5.81 (Or (Eq (Exists (rp (skS.0 1 a_2))) False) % 5.63/5.81 (Or (Eq (∀ (Y0 Y1 : Iota), And (rp (skS.0 1 a_2) Y0) (rp (skS.0 1 a_2) Y1) → Eq Y0 Y1) False) % 5.63/5.81 (Eq (cowlNothing (skS.0 2 a)) True))))) % 5.63/5.81 Clause #108 (by clausification #[107]): ∀ (a a_1 a_2 : Iota), % 5.63/5.81 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.63/5.81 (Or (Eq (xsd_string (skS.0 3 a_1)) False) % 5.63/5.81 (Or (Eq (Exists (rp (skS.0 1 a_2))) False) % 5.63/5.81 (Or (Eq (∀ (Y0 Y1 : Iota), And (rp (skS.0 1 a_2) Y0) (rp (skS.0 1 a_2) Y1) → Eq Y0 Y1) False) % 5.63/5.81 (Or (Eq (cowlNothing (skS.0 2 a)) True) (Eq (xsd_integer (skS.0 3 a_1)) True))))) % 5.63/5.81 Clause #109 (by clausification #[108]): ∀ (a a_1 a_2 a_3 : Iota), % 5.63/5.81 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.63/5.81 (Or (Eq (xsd_string (skS.0 3 a_1)) False) % 5.63/5.81 (Or (Eq (∀ (Y0 Y1 : Iota), And (rp (skS.0 1 a_2) Y0) (rp (skS.0 1 a_2) Y1) → Eq Y0 Y1) False) % 5.63/5.81 (Or (Eq (cowlNothing (skS.0 2 a)) True) % 5.63/5.81 (Or (Eq (xsd_integer (skS.0 3 a_1)) True) (Eq (rp (skS.0 1 a_2) a_3) False))))) % 5.63/5.81 Clause #110 (by clausification #[109]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.63/5.81 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.63/5.81 (Or (Eq (xsd_string (skS.0 3 a_1)) False) % 5.63/5.81 (Or (Eq (cowlNothing (skS.0 2 a)) True) % 5.63/5.81 (Or (Eq (xsd_integer (skS.0 3 a_1)) True) % 5.63/5.81 (Or (Eq (rp (skS.0 1 a_2) a_3) False) % 5.63/5.81 (Eq % 5.63/5.81 (Not % 5.63/5.81 (∀ (Y1 : Iota), % 5.63/5.81 And (rp (skS.0 1 a_2) (skS.0 4 a_2 a_4)) (rp (skS.0 1 a_2) Y1) → Eq (skS.0 4 a_2 a_4) Y1)) % 5.63/5.81 True))))) % 5.63/5.81 Clause #111 (by clausification #[110]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.63/5.81 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.63/5.81 (Or (Eq (xsd_string (skS.0 3 a_1)) False) % 5.63/5.81 (Or (Eq (cowlNothing (skS.0 2 a)) True) % 5.63/5.81 (Or (Eq (xsd_integer (skS.0 3 a_1)) True) % 5.63/5.81 (Or (Eq (rp (skS.0 1 a_2) a_3) False) % 5.63/5.81 (Eq % 5.63/5.81 (∀ (Y1 : Iota), And (rp (skS.0 1 a_2) (skS.0 4 a_2 a_4)) (rp (skS.0 1 a_2) Y1) → Eq (skS.0 4 a_2 a_4) Y1) % 5.63/5.81 False))))) % 5.63/5.81 Clause #112 (by clausification #[111]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 5.63/5.81 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.63/5.81 (Or (Eq (xsd_string (skS.0 3 a_1)) False) % 5.63/5.81 (Or (Eq (cowlNothing (skS.0 2 a)) True) % 5.63/5.81 (Or (Eq (xsd_integer (skS.0 3 a_1)) True) % 5.63/5.81 (Or (Eq (rp (skS.0 1 a_2) a_3) False) % 5.63/5.81 (Eq % 5.63/5.81 (Not % 5.63/5.81 (And (rp (skS.0 1 a_2) (skS.0 4 a_2 a_4)) (rp (skS.0 1 a_2) (skS.0 5 a_2 a_4 a_5)) → % 5.63/5.81 Eq (skS.0 4 a_2 a_4) (skS.0 5 a_2 a_4 a_5))) % 5.63/5.81 True))))) % 5.63/5.81 Clause #113 (by clausification #[112]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 5.63/5.81 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.63/5.81 (Or (Eq (xsd_string (skS.0 3 a_1)) False) % 5.63/5.81 (Or (Eq (cowlNothing (skS.0 2 a)) True) % 5.63/5.81 (Or (Eq (xsd_integer (skS.0 3 a_1)) True) % 5.63/5.81 (Or (Eq (rp (skS.0 1 a_2) a_3) False) % 5.63/5.81 (Eq % 5.63/5.81 (And (rp (skS.0 1 a_2) (skS.0 4 a_2 a_4)) (rp (skS.0 1 a_2) (skS.0 5 a_2 a_4 a_5)) → % 5.63/5.81 Eq (skS.0 4 a_2 a_4) (skS.0 5 a_2 a_4 a_5)) % 5.63/5.81 False))))) % 5.63/5.81 Clause #114 (by clausification #[113]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 5.63/5.81 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.63/5.81 (Or (Eq (xsd_string (skS.0 3 a_1)) False) % 5.63/5.81 (Or (Eq (cowlNothing (skS.0 2 a)) True) % 5.63/5.84 (Or (Eq (xsd_integer (skS.0 3 a_1)) True) % 5.63/5.84 (Or (Eq (rp (skS.0 1 a_2) a_3) False) % 5.63/5.84 (Eq (And (rp (skS.0 1 a_2) (skS.0 4 a_2 a_4)) (rp (skS.0 1 a_2) (skS.0 5 a_2 a_4 a_5))) True))))) % 5.63/5.84 Clause #115 (by clausification #[113]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 5.63/5.84 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.63/5.84 (Or (Eq (xsd_string (skS.0 3 a_1)) False) % 5.63/5.84 (Or (Eq (cowlNothing (skS.0 2 a)) True) % 5.63/5.84 (Or (Eq (xsd_integer (skS.0 3 a_1)) True) % 5.63/5.84 (Or (Eq (rp (skS.0 1 a_2) a_3) False) (Eq (Eq (skS.0 4 a_2 a_4) (skS.0 5 a_2 a_4 a_5)) False))))) % 5.63/5.84 Clause #116 (by clausification #[114]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 5.63/5.84 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.63/5.84 (Or (Eq (xsd_string (skS.0 3 a_1)) False) % 5.63/5.84 (Or (Eq (cowlNothing (skS.0 2 a)) True) % 5.63/5.84 (Or (Eq (xsd_integer (skS.0 3 a_1)) True) % 5.63/5.84 (Or (Eq (rp (skS.0 1 a_2) a_3) False) (Eq (rp (skS.0 1 a_2) (skS.0 5 a_2 a_4 a_5)) True))))) % 5.63/5.84 Clause #117 (by clausification #[114]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.63/5.84 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.63/5.84 (Or (Eq (xsd_string (skS.0 3 a_1)) False) % 5.63/5.84 (Or (Eq (cowlNothing (skS.0 2 a)) True) % 5.63/5.84 (Or (Eq (xsd_integer (skS.0 3 a_1)) True) % 5.63/5.84 (Or (Eq (rp (skS.0 1 a_2) a_3) False) (Eq (rp (skS.0 1 a_2) (skS.0 4 a_2 a_4)) True))))) % 5.63/5.84 Clause #118 (by forward demodulation #[116, 58]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 5.63/5.84 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.63/5.84 (Or (Eq (xsd_string (skS.0 3 a_1)) False) % 5.63/5.84 (Or (Eq False True) % 5.63/5.84 (Or (Eq (xsd_integer (skS.0 3 a_1)) True) % 5.63/5.84 (Or (Eq (rp (skS.0 1 a_2) a_3) False) (Eq (rp (skS.0 1 a_2) (skS.0 5 a_2 a_4 a_5)) True))))) % 5.63/5.84 Clause #119 (by clausification #[118]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 5.63/5.84 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.63/5.84 (Or (Eq (xsd_string (skS.0 3 a_1)) False) % 5.63/5.84 (Or (Eq (xsd_integer (skS.0 3 a_1)) True) % 5.63/5.84 (Or (Eq (rp (skS.0 1 a_2) a_3) False) (Eq (rp (skS.0 1 a_2) (skS.0 5 a_2 a_4 a_5)) True)))) % 5.63/5.84 Clause #120 (by superposition #[119, 57]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.63/5.84 Or (Eq (xsd_string (skS.0 3 a)) False) % 5.63/5.84 (Or (Eq (xsd_integer (skS.0 3 a)) True) % 5.63/5.84 (Or (Eq (rp (skS.0 1 a_1) a_2) False) (Or (Eq (rp (skS.0 1 a_1) (skS.0 5 a_1 a_3 a_4)) True) (Eq False True)))) % 5.63/5.84 Clause #121 (by clausification #[102]): ∀ (a a_1 : Iota), % 5.63/5.84 Or (Eq (cc (skS.0 1 a)) True) (Or (Eq (xsd_string (skS.0 3 a_1)) True) (Eq (xsd_string (skS.0 3 a_1)) True)) % 5.63/5.84 Clause #122 (by eliminate duplicate literals #[121]): ∀ (a a_1 : Iota), Or (Eq (cc (skS.0 1 a)) True) (Eq (xsd_string (skS.0 3 a_1)) True) % 5.63/5.84 Clause #125 (by superposition #[122, 95]): ∀ (a a_1 a_2 : Iota), % 5.63/5.84 Or (Eq (cc (skS.0 1 a)) True) % 5.63/5.84 (Or (Eq (cc (skS.0 1 a_1)) True) (Or (Eq True False) (Eq (xsd_integer (skS.0 3 a_2)) True))) % 5.63/5.84 Clause #126 (by superposition #[122, 63]): ∀ (a a_1 : Iota), Or (Eq (cc (skS.0 1 a)) True) (Or (Eq True False) (Eq (xsd_integer (skS.0 3 a_1)) False)) % 5.63/5.84 Clause #127 (by clausification #[126]): ∀ (a a_1 : Iota), Or (Eq (cc (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 3 a_1)) False) % 5.63/5.84 Clause #129 (by clausification #[125]): ∀ (a a_1 a_2 : Iota), % 5.63/5.84 Or (Eq (cc (skS.0 1 a)) True) (Or (Eq (cc (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 3 a_2)) True)) % 5.63/5.84 Clause #133 (by equality factoring #[129]): ∀ (a a_1 : Iota), Or (Eq (xsd_integer (skS.0 3 a)) True) (Or (Ne True True) (Eq (cc (skS.0 1 a_1)) True)) % 5.63/5.84 Clause #134 (by clausification #[133]): ∀ (a a_1 : Iota), % 5.63/5.84 Or (Eq (xsd_integer (skS.0 3 a)) True) (Or (Eq (cc (skS.0 1 a_1)) True) (Or (Eq True False) (Eq True False))) % 5.63/5.84 Clause #136 (by clausification #[134]): ∀ (a a_1 : Iota), Or (Eq (xsd_integer (skS.0 3 a)) True) (Or (Eq (cc (skS.0 1 a_1)) True) (Eq True False)) % 5.63/5.84 Clause #137 (by clausification #[136]): ∀ (a a_1 : Iota), Or (Eq (xsd_integer (skS.0 3 a)) True) (Eq (cc (skS.0 1 a_1)) True) % 5.63/5.84 Clause #138 (by superposition #[137, 127]): ∀ (a a_1 : Iota), Or (Eq (cc (skS.0 1 a)) True) (Or (Eq (cc (skS.0 1 a_1)) True) (Eq True False)) % 5.63/5.84 Clause #141 (by clausification #[105]): ∀ (a a_1 a_2 : Iota), % 5.63/5.84 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.63/5.84 (Or (Eq (Not (cowlNothing (skS.0 2 a))) False) % 5.63/5.86 (Or (Eq (xsd_string (skS.0 3 a_1)) True) % 5.63/5.86 (Or (Eq (Not (xsd_integer (skS.0 3 a_1))) True) % 5.63/5.86 (Or (Eq (Exists (rp (skS.0 1 a_2))) False) % 5.63/5.86 (Eq (∀ (Y0 Y1 : Iota), And (rp (skS.0 1 a_2) Y0) (rp (skS.0 1 a_2) Y1) → Eq Y0 Y1) False))))) % 5.63/5.86 Clause #142 (by clausification #[141]): ∀ (a a_1 a_2 : Iota), % 5.63/5.86 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.63/5.86 (Or (Eq (xsd_string (skS.0 3 a_1)) True) % 5.63/5.86 (Or (Eq (Not (xsd_integer (skS.0 3 a_1))) True) % 5.63/5.86 (Or (Eq (Exists (rp (skS.0 1 a_2))) False) % 5.63/5.86 (Or (Eq (∀ (Y0 Y1 : Iota), And (rp (skS.0 1 a_2) Y0) (rp (skS.0 1 a_2) Y1) → Eq Y0 Y1) False) % 5.63/5.86 (Eq (cowlNothing (skS.0 2 a)) True))))) % 5.63/5.86 Clause #143 (by clausification #[142]): ∀ (a a_1 a_2 : Iota), % 5.63/5.86 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.63/5.86 (Or (Eq (xsd_string (skS.0 3 a_1)) True) % 5.63/5.86 (Or (Eq (Exists (rp (skS.0 1 a_2))) False) % 5.63/5.86 (Or (Eq (∀ (Y0 Y1 : Iota), And (rp (skS.0 1 a_2) Y0) (rp (skS.0 1 a_2) Y1) → Eq Y0 Y1) False) % 5.63/5.86 (Or (Eq (cowlNothing (skS.0 2 a)) True) (Eq (xsd_integer (skS.0 3 a_1)) False))))) % 5.63/5.86 Clause #144 (by clausification #[143]): ∀ (a a_1 a_2 a_3 : Iota), % 5.63/5.86 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.63/5.86 (Or (Eq (xsd_string (skS.0 3 a_1)) True) % 5.63/5.86 (Or (Eq (∀ (Y0 Y1 : Iota), And (rp (skS.0 1 a_2) Y0) (rp (skS.0 1 a_2) Y1) → Eq Y0 Y1) False) % 5.63/5.86 (Or (Eq (cowlNothing (skS.0 2 a)) True) % 5.63/5.86 (Or (Eq (xsd_integer (skS.0 3 a_1)) False) (Eq (rp (skS.0 1 a_2) a_3) False))))) % 5.63/5.86 Clause #145 (by clausification #[144]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.63/5.86 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.63/5.86 (Or (Eq (xsd_string (skS.0 3 a_1)) True) % 5.63/5.86 (Or (Eq (cowlNothing (skS.0 2 a)) True) % 5.63/5.86 (Or (Eq (xsd_integer (skS.0 3 a_1)) False) % 5.63/5.86 (Or (Eq (rp (skS.0 1 a_2) a_3) False) % 5.63/5.86 (Eq % 5.63/5.86 (Not % 5.63/5.86 (∀ (Y1 : Iota), % 5.63/5.86 And (rp (skS.0 1 a_2) (skS.0 6 a_2 a_4)) (rp (skS.0 1 a_2) Y1) → Eq (skS.0 6 a_2 a_4) Y1)) % 5.63/5.86 True))))) % 5.63/5.86 Clause #146 (by clausification #[145]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.63/5.86 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.63/5.86 (Or (Eq (xsd_string (skS.0 3 a_1)) True) % 5.63/5.86 (Or (Eq (cowlNothing (skS.0 2 a)) True) % 5.63/5.86 (Or (Eq (xsd_integer (skS.0 3 a_1)) False) % 5.63/5.86 (Or (Eq (rp (skS.0 1 a_2) a_3) False) % 5.63/5.86 (Eq % 5.63/5.86 (∀ (Y1 : Iota), And (rp (skS.0 1 a_2) (skS.0 6 a_2 a_4)) (rp (skS.0 1 a_2) Y1) → Eq (skS.0 6 a_2 a_4) Y1) % 5.63/5.86 False))))) % 5.63/5.86 Clause #147 (by clausification #[146]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 5.63/5.86 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.63/5.86 (Or (Eq (xsd_string (skS.0 3 a_1)) True) % 5.63/5.86 (Or (Eq (cowlNothing (skS.0 2 a)) True) % 5.63/5.86 (Or (Eq (xsd_integer (skS.0 3 a_1)) False) % 5.63/5.86 (Or (Eq (rp (skS.0 1 a_2) a_3) False) % 5.63/5.86 (Eq % 5.63/5.86 (Not % 5.63/5.86 (And (rp (skS.0 1 a_2) (skS.0 6 a_2 a_4)) (rp (skS.0 1 a_2) (skS.0 7 a_2 a_4 a_5)) → % 5.63/5.86 Eq (skS.0 6 a_2 a_4) (skS.0 7 a_2 a_4 a_5))) % 5.63/5.86 True))))) % 5.63/5.86 Clause #148 (by clausification #[147]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 5.63/5.86 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.63/5.86 (Or (Eq (xsd_string (skS.0 3 a_1)) True) % 5.63/5.86 (Or (Eq (cowlNothing (skS.0 2 a)) True) % 5.63/5.86 (Or (Eq (xsd_integer (skS.0 3 a_1)) False) % 5.63/5.86 (Or (Eq (rp (skS.0 1 a_2) a_3) False) % 5.63/5.86 (Eq % 5.63/5.86 (And (rp (skS.0 1 a_2) (skS.0 6 a_2 a_4)) (rp (skS.0 1 a_2) (skS.0 7 a_2 a_4 a_5)) → % 5.63/5.86 Eq (skS.0 6 a_2 a_4) (skS.0 7 a_2 a_4 a_5)) % 5.63/5.86 False))))) % 5.63/5.86 Clause #149 (by clausification #[148]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 5.63/5.86 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.63/5.86 (Or (Eq (xsd_string (skS.0 3 a_1)) True) % 5.63/5.86 (Or (Eq (cowlNothing (skS.0 2 a)) True) % 5.63/5.86 (Or (Eq (xsd_integer (skS.0 3 a_1)) False) % 5.63/5.86 (Or (Eq (rp (skS.0 1 a_2) a_3) False) % 5.63/5.86 (Eq (And (rp (skS.0 1 a_2) (skS.0 6 a_2 a_4)) (rp (skS.0 1 a_2) (skS.0 7 a_2 a_4 a_5))) True))))) % 5.63/5.86 Clause #150 (by clausification #[148]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 5.63/5.86 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.63/5.86 (Or (Eq (xsd_string (skS.0 3 a_1)) True) % 5.63/5.86 (Or (Eq (cowlNothing (skS.0 2 a)) True) % 5.73/5.89 (Or (Eq (xsd_integer (skS.0 3 a_1)) False) % 5.73/5.89 (Or (Eq (rp (skS.0 1 a_2) a_3) False) (Eq (Eq (skS.0 6 a_2 a_4) (skS.0 7 a_2 a_4 a_5)) False))))) % 5.73/5.89 Clause #151 (by clausification #[149]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 5.73/5.89 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.73/5.89 (Or (Eq (xsd_string (skS.0 3 a_1)) True) % 5.73/5.89 (Or (Eq (cowlNothing (skS.0 2 a)) True) % 5.73/5.89 (Or (Eq (xsd_integer (skS.0 3 a_1)) False) % 5.73/5.89 (Or (Eq (rp (skS.0 1 a_2) a_3) False) (Eq (rp (skS.0 1 a_2) (skS.0 7 a_2 a_4 a_5)) True))))) % 5.73/5.89 Clause #152 (by clausification #[149]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.73/5.89 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.73/5.89 (Or (Eq (xsd_string (skS.0 3 a_1)) True) % 5.73/5.89 (Or (Eq (cowlNothing (skS.0 2 a)) True) % 5.73/5.89 (Or (Eq (xsd_integer (skS.0 3 a_1)) False) % 5.73/5.89 (Or (Eq (rp (skS.0 1 a_2) a_3) False) (Eq (rp (skS.0 1 a_2) (skS.0 6 a_2 a_4)) True))))) % 5.73/5.89 Clause #153 (by forward demodulation #[151, 58]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 5.73/5.89 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.73/5.89 (Or (Eq (xsd_string (skS.0 3 a_1)) True) % 5.73/5.89 (Or (Eq False True) % 5.73/5.89 (Or (Eq (xsd_integer (skS.0 3 a_1)) False) % 5.73/5.89 (Or (Eq (rp (skS.0 1 a_2) a_3) False) (Eq (rp (skS.0 1 a_2) (skS.0 7 a_2 a_4 a_5)) True))))) % 5.73/5.89 Clause #154 (by clausification #[153]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 5.73/5.89 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.73/5.89 (Or (Eq (xsd_string (skS.0 3 a_1)) True) % 5.73/5.89 (Or (Eq (xsd_integer (skS.0 3 a_1)) False) % 5.73/5.89 (Or (Eq (rp (skS.0 1 a_2) a_3) False) (Eq (rp (skS.0 1 a_2) (skS.0 7 a_2 a_4 a_5)) True)))) % 5.73/5.89 Clause #155 (by superposition #[154, 57]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.73/5.89 Or (Eq (xsd_string (skS.0 3 a)) True) % 5.73/5.89 (Or (Eq (xsd_integer (skS.0 3 a)) False) % 5.73/5.89 (Or (Eq (rp (skS.0 1 a_1) a_2) False) (Or (Eq (rp (skS.0 1 a_1) (skS.0 7 a_1 a_3 a_4)) True) (Eq False True)))) % 5.73/5.89 Clause #156 (by clausification #[138]): ∀ (a a_1 : Iota), Or (Eq (cc (skS.0 1 a)) True) (Eq (cc (skS.0 1 a_1)) True) % 5.73/5.89 Clause #159 (by equality factoring #[156]): ∀ (a : Iota), Or (Ne True True) (Eq (cc (skS.0 1 a)) True) % 5.73/5.89 Clause #160 (by clausification #[159]): ∀ (a : Iota), Or (Eq (cc (skS.0 1 a)) True) (Or (Eq True False) (Eq True False)) % 5.73/5.89 Clause #162 (by clausification #[160]): ∀ (a : Iota), Or (Eq (cc (skS.0 1 a)) True) (Eq True False) % 5.73/5.89 Clause #163 (by clausification #[162]): ∀ (a : Iota), Eq (cc (skS.0 1 a)) True % 5.73/5.89 Clause #164 (by superposition #[163, 67]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (rp (skS.0 1 a) (skS.0 0 (skS.0 1 a) a_1)) True) % 5.73/5.89 Clause #165 (by superposition #[163, 74]): ∀ (a a_1 a_2 : Iota), % 5.73/5.89 Or (Eq True False) (Or (Eq (rp (skS.0 1 a) a_1) False) (Or (Eq (rp (skS.0 1 a) a_2) False) (Eq a_1 a_2))) % 5.73/5.89 Clause #166 (by clausification #[165]): ∀ (a a_1 a_2 : Iota), Or (Eq (rp (skS.0 1 a) a_1) False) (Or (Eq (rp (skS.0 1 a) a_2) False) (Eq a_1 a_2)) % 5.73/5.89 Clause #167 (by clausification #[115]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 5.73/5.89 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.73/5.89 (Or (Eq (xsd_string (skS.0 3 a_1)) False) % 5.73/5.89 (Or (Eq (cowlNothing (skS.0 2 a)) True) % 5.73/5.89 (Or (Eq (xsd_integer (skS.0 3 a_1)) True) % 5.73/5.89 (Or (Eq (rp (skS.0 1 a_2) a_3) False) (Ne (skS.0 4 a_2 a_4) (skS.0 5 a_2 a_4 a_5)))))) % 5.73/5.89 Clause #168 (by forward demodulation #[167, 58]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 5.73/5.89 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.73/5.89 (Or (Eq (xsd_string (skS.0 3 a_1)) False) % 5.73/5.89 (Or (Eq False True) % 5.73/5.89 (Or (Eq (xsd_integer (skS.0 3 a_1)) True) % 5.73/5.89 (Or (Eq (rp (skS.0 1 a_2) a_3) False) (Ne (skS.0 4 a_2 a_4) (skS.0 5 a_2 a_4 a_5)))))) % 5.73/5.89 Clause #169 (by clausification #[168]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 5.73/5.89 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.73/5.89 (Or (Eq (xsd_string (skS.0 3 a_1)) False) % 5.73/5.89 (Or (Eq (xsd_integer (skS.0 3 a_1)) True) % 5.73/5.89 (Or (Eq (rp (skS.0 1 a_2) a_3) False) (Ne (skS.0 4 a_2 a_4) (skS.0 5 a_2 a_4 a_5))))) % 5.73/5.89 Clause #170 (by superposition #[169, 57]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.73/5.89 Or (Eq (xsd_string (skS.0 3 a)) False) % 5.73/5.89 (Or (Eq (xsd_integer (skS.0 3 a)) True) % 5.73/5.89 (Or (Eq (rp (skS.0 1 a_1) a_2) False) (Or (Ne (skS.0 4 a_1 a_3) (skS.0 5 a_1 a_3 a_4)) (Eq False True)))) % 5.75/5.92 Clause #171 (by clausification #[164]): ∀ (a a_1 : Iota), Eq (rp (skS.0 1 a) (skS.0 0 (skS.0 1 a) a_1)) True % 5.75/5.92 Clause #172 (by superposition #[171, 166]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Or (Eq (rp (skS.0 1 a) a_1) False) (Eq (skS.0 0 (skS.0 1 a) a_2) a_1)) % 5.75/5.92 Clause #173 (by clausification #[172]): ∀ (a a_1 a_2 : Iota), Or (Eq (rp (skS.0 1 a) a_1) False) (Eq (skS.0 0 (skS.0 1 a) a_2) a_1) % 5.75/5.92 Clause #178 (by forward demodulation #[117, 58]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.75/5.92 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.75/5.92 (Or (Eq (xsd_string (skS.0 3 a_1)) False) % 5.75/5.92 (Or (Eq False True) % 5.75/5.92 (Or (Eq (xsd_integer (skS.0 3 a_1)) True) % 5.75/5.92 (Or (Eq (rp (skS.0 1 a_2) a_3) False) (Eq (rp (skS.0 1 a_2) (skS.0 4 a_2 a_4)) True))))) % 5.75/5.92 Clause #179 (by clausification #[178]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.75/5.92 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.75/5.92 (Or (Eq (xsd_string (skS.0 3 a_1)) False) % 5.75/5.92 (Or (Eq (xsd_integer (skS.0 3 a_1)) True) % 5.75/5.92 (Or (Eq (rp (skS.0 1 a_2) a_3) False) (Eq (rp (skS.0 1 a_2) (skS.0 4 a_2 a_4)) True)))) % 5.75/5.92 Clause #180 (by superposition #[179, 57]): ∀ (a a_1 a_2 a_3 : Iota), % 5.75/5.92 Or (Eq (xsd_string (skS.0 3 a)) False) % 5.75/5.92 (Or (Eq (xsd_integer (skS.0 3 a)) True) % 5.75/5.92 (Or (Eq (rp (skS.0 1 a_1) a_2) False) (Or (Eq (rp (skS.0 1 a_1) (skS.0 4 a_1 a_3)) True) (Eq False True)))) % 5.75/5.92 Clause #186 (by clausification #[120]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.75/5.92 Or (Eq (xsd_string (skS.0 3 a)) False) % 5.75/5.92 (Or (Eq (xsd_integer (skS.0 3 a)) True) % 5.75/5.92 (Or (Eq (rp (skS.0 1 a_1) a_2) False) (Eq (rp (skS.0 1 a_1) (skS.0 5 a_1 a_3 a_4)) True))) % 5.75/5.92 Clause #189 (by clausification #[180]): ∀ (a a_1 a_2 a_3 : Iota), % 5.75/5.92 Or (Eq (xsd_string (skS.0 3 a)) False) % 5.75/5.92 (Or (Eq (xsd_integer (skS.0 3 a)) True) % 5.75/5.92 (Or (Eq (rp (skS.0 1 a_1) a_2) False) (Eq (rp (skS.0 1 a_1) (skS.0 4 a_1 a_3)) True))) % 5.75/5.92 Clause #190 (by clausification #[170]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.75/5.92 Or (Eq (xsd_string (skS.0 3 a)) False) % 5.75/5.92 (Or (Eq (xsd_integer (skS.0 3 a)) True) % 5.75/5.92 (Or (Eq (rp (skS.0 1 a_1) a_2) False) (Ne (skS.0 4 a_1 a_3) (skS.0 5 a_1 a_3 a_4)))) % 5.75/5.92 Clause #191 (by clausification #[155]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.75/5.92 Or (Eq (xsd_string (skS.0 3 a)) True) % 5.75/5.92 (Or (Eq (xsd_integer (skS.0 3 a)) False) % 5.75/5.92 (Or (Eq (rp (skS.0 1 a_1) a_2) False) (Eq (rp (skS.0 1 a_1) (skS.0 7 a_1 a_3 a_4)) True))) % 5.75/5.92 Clause #192 (by superposition #[191, 62]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.75/5.92 Or (Eq (xsd_string (skS.0 3 a)) True) % 5.75/5.92 (Or (Eq (rp (skS.0 1 a_1) a_2) False) % 5.75/5.92 (Or (Eq (rp (skS.0 1 a_1) (skS.0 7 a_1 a_3 a_4)) True) (Or (Eq (xsd_string (skS.0 3 a)) True) (Eq False True)))) % 5.75/5.92 Clause #193 (by clausification #[150]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 5.75/5.92 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.75/5.92 (Or (Eq (xsd_string (skS.0 3 a_1)) True) % 5.75/5.92 (Or (Eq (cowlNothing (skS.0 2 a)) True) % 5.75/5.92 (Or (Eq (xsd_integer (skS.0 3 a_1)) False) % 5.75/5.92 (Or (Eq (rp (skS.0 1 a_2) a_3) False) (Ne (skS.0 6 a_2 a_4) (skS.0 7 a_2 a_4 a_5)))))) % 5.75/5.92 Clause #194 (by forward demodulation #[193, 58]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 5.75/5.92 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.75/5.92 (Or (Eq (xsd_string (skS.0 3 a_1)) True) % 5.75/5.92 (Or (Eq False True) % 5.75/5.92 (Or (Eq (xsd_integer (skS.0 3 a_1)) False) % 5.75/5.92 (Or (Eq (rp (skS.0 1 a_2) a_3) False) (Ne (skS.0 6 a_2 a_4) (skS.0 7 a_2 a_4 a_5)))))) % 5.75/5.92 Clause #195 (by clausification #[194]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 5.75/5.92 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.75/5.92 (Or (Eq (xsd_string (skS.0 3 a_1)) True) % 5.75/5.92 (Or (Eq (xsd_integer (skS.0 3 a_1)) False) % 5.75/5.92 (Or (Eq (rp (skS.0 1 a_2) a_3) False) (Ne (skS.0 6 a_2 a_4) (skS.0 7 a_2 a_4 a_5))))) % 5.75/5.92 Clause #196 (by superposition #[195, 57]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.75/5.92 Or (Eq (xsd_string (skS.0 3 a)) True) % 5.75/5.92 (Or (Eq (xsd_integer (skS.0 3 a)) False) % 5.75/5.92 (Or (Eq (rp (skS.0 1 a_1) a_2) False) (Or (Ne (skS.0 6 a_1 a_3) (skS.0 7 a_1 a_3 a_4)) (Eq False True)))) % 5.75/5.92 Clause #197 (by clausification #[196]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.75/5.92 Or (Eq (xsd_string (skS.0 3 a)) True) % 5.75/5.92 (Or (Eq (xsd_integer (skS.0 3 a)) False) % 5.75/5.92 (Or (Eq (rp (skS.0 1 a_1) a_2) False) (Ne (skS.0 6 a_1 a_3) (skS.0 7 a_1 a_3 a_4)))) % 5.75/5.95 Clause #198 (by superposition #[197, 62]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.75/5.95 Or (Eq (xsd_string (skS.0 3 a)) True) % 5.75/5.95 (Or (Eq (rp (skS.0 1 a_1) a_2) False) % 5.75/5.95 (Or (Ne (skS.0 6 a_1 a_3) (skS.0 7 a_1 a_3 a_4)) (Or (Eq (xsd_string (skS.0 3 a)) True) (Eq False True)))) % 5.75/5.95 Clause #199 (by clausification #[198]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.75/5.95 Or (Eq (xsd_string (skS.0 3 a)) True) % 5.75/5.95 (Or (Eq (rp (skS.0 1 a_1) a_2) False) % 5.75/5.95 (Or (Ne (skS.0 6 a_1 a_3) (skS.0 7 a_1 a_3 a_4)) (Eq (xsd_string (skS.0 3 a)) True))) % 5.75/5.95 Clause #200 (by eliminate duplicate literals #[199]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.75/5.95 Or (Eq (xsd_string (skS.0 3 a)) True) % 5.75/5.95 (Or (Eq (rp (skS.0 1 a_1) a_2) False) (Ne (skS.0 6 a_1 a_3) (skS.0 7 a_1 a_3 a_4))) % 5.75/5.95 Clause #201 (by superposition #[200, 171]): ∀ (a a_1 a_2 a_3 : Iota), % 5.75/5.95 Or (Eq (xsd_string (skS.0 3 a)) True) (Or (Ne (skS.0 6 a_1 a_2) (skS.0 7 a_1 a_2 a_3)) (Eq False True)) % 5.75/5.95 Clause #202 (by clausification #[201]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (xsd_string (skS.0 3 a)) True) (Ne (skS.0 6 a_1 a_2) (skS.0 7 a_1 a_2 a_3)) % 5.75/5.95 Clause #203 (by clausification #[192]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.75/5.95 Or (Eq (xsd_string (skS.0 3 a)) True) % 5.75/5.95 (Or (Eq (rp (skS.0 1 a_1) a_2) False) % 5.75/5.95 (Or (Eq (rp (skS.0 1 a_1) (skS.0 7 a_1 a_3 a_4)) True) (Eq (xsd_string (skS.0 3 a)) True))) % 5.75/5.95 Clause #204 (by eliminate duplicate literals #[203]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.75/5.95 Or (Eq (xsd_string (skS.0 3 a)) True) % 5.75/5.95 (Or (Eq (rp (skS.0 1 a_1) a_2) False) (Eq (rp (skS.0 1 a_1) (skS.0 7 a_1 a_3 a_4)) True)) % 5.75/5.95 Clause #205 (by superposition #[204, 171]): ∀ (a a_1 a_2 a_3 : Iota), % 5.75/5.95 Or (Eq (xsd_string (skS.0 3 a)) True) (Or (Eq (rp (skS.0 1 a_1) (skS.0 7 a_1 a_2 a_3)) True) (Eq False True)) % 5.75/5.95 Clause #206 (by clausification #[205]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (xsd_string (skS.0 3 a)) True) (Eq (rp (skS.0 1 a_1) (skS.0 7 a_1 a_2 a_3)) True) % 5.75/5.95 Clause #211 (by superposition #[206, 166]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.75/5.95 Or (Eq (xsd_string (skS.0 3 a)) True) % 5.75/5.95 (Or (Eq True False) (Or (Eq (rp (skS.0 1 a_1) a_2) False) (Eq (skS.0 7 a_1 a_3 a_4) a_2))) % 5.75/5.95 Clause #213 (by forward demodulation #[152, 58]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.75/5.95 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.75/5.95 (Or (Eq (xsd_string (skS.0 3 a_1)) True) % 5.75/5.95 (Or (Eq False True) % 5.75/5.95 (Or (Eq (xsd_integer (skS.0 3 a_1)) False) % 5.75/5.95 (Or (Eq (rp (skS.0 1 a_2) a_3) False) (Eq (rp (skS.0 1 a_2) (skS.0 6 a_2 a_4)) True))))) % 5.75/5.95 Clause #214 (by clausification #[213]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.75/5.95 Or (Eq (cowlThing (skS.0 2 a)) False) % 5.75/5.95 (Or (Eq (xsd_string (skS.0 3 a_1)) True) % 5.75/5.95 (Or (Eq (xsd_integer (skS.0 3 a_1)) False) % 5.75/5.95 (Or (Eq (rp (skS.0 1 a_2) a_3) False) (Eq (rp (skS.0 1 a_2) (skS.0 6 a_2 a_4)) True)))) % 5.75/5.95 Clause #215 (by superposition #[214, 57]): ∀ (a a_1 a_2 a_3 : Iota), % 5.75/5.95 Or (Eq (xsd_string (skS.0 3 a)) True) % 5.75/5.95 (Or (Eq (xsd_integer (skS.0 3 a)) False) % 5.75/5.95 (Or (Eq (rp (skS.0 1 a_1) a_2) False) (Or (Eq (rp (skS.0 1 a_1) (skS.0 6 a_1 a_3)) True) (Eq False True)))) % 5.75/5.95 Clause #219 (by clausification #[211]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.75/5.95 Or (Eq (xsd_string (skS.0 3 a)) True) (Or (Eq (rp (skS.0 1 a_1) a_2) False) (Eq (skS.0 7 a_1 a_3 a_4) a_2)) % 5.75/5.95 Clause #220 (by superposition #[219, 171]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.75/5.95 Or (Eq (xsd_string (skS.0 3 a)) True) (Or (Eq (skS.0 7 a_1 a_2 a_3) (skS.0 0 (skS.0 1 a_1) a_4)) (Eq False True)) % 5.75/5.95 Clause #222 (by clausification #[220]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.75/5.95 Or (Eq (xsd_string (skS.0 3 a)) True) (Eq (skS.0 7 a_1 a_2 a_3) (skS.0 0 (skS.0 1 a_1) a_4)) % 5.75/5.95 Clause #227 (by superposition #[222, 202]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.75/5.95 Or (Eq (xsd_string (skS.0 3 a)) True) % 5.75/5.95 (Or (Eq (xsd_string (skS.0 3 a_1)) True) (Ne (skS.0 6 a_2 a_3) (skS.0 0 (skS.0 1 a_2) a_4))) % 5.75/5.95 Clause #272 (by clausification #[215]): ∀ (a a_1 a_2 a_3 : Iota), % 5.75/5.95 Or (Eq (xsd_string (skS.0 3 a)) True) % 5.75/5.95 (Or (Eq (xsd_integer (skS.0 3 a)) False) % 5.75/5.95 (Or (Eq (rp (skS.0 1 a_1) a_2) False) (Eq (rp (skS.0 1 a_1) (skS.0 6 a_1 a_3)) True))) % 5.75/5.95 Clause #273 (by superposition #[272, 62]): ∀ (a a_1 a_2 a_3 : Iota), % 5.75/5.97 Or (Eq (xsd_string (skS.0 3 a)) True) % 5.75/5.97 (Or (Eq (rp (skS.0 1 a_1) a_2) False) % 5.75/5.97 (Or (Eq (rp (skS.0 1 a_1) (skS.0 6 a_1 a_3)) True) (Or (Eq (xsd_string (skS.0 3 a)) True) (Eq False True)))) % 5.75/5.97 Clause #277 (by clausification #[273]): ∀ (a a_1 a_2 a_3 : Iota), % 5.75/5.97 Or (Eq (xsd_string (skS.0 3 a)) True) % 5.75/5.97 (Or (Eq (rp (skS.0 1 a_1) a_2) False) % 5.75/5.97 (Or (Eq (rp (skS.0 1 a_1) (skS.0 6 a_1 a_3)) True) (Eq (xsd_string (skS.0 3 a)) True))) % 5.75/5.97 Clause #278 (by eliminate duplicate literals #[277]): ∀ (a a_1 a_2 a_3 : Iota), % 5.75/5.97 Or (Eq (xsd_string (skS.0 3 a)) True) % 5.75/5.97 (Or (Eq (rp (skS.0 1 a_1) a_2) False) (Eq (rp (skS.0 1 a_1) (skS.0 6 a_1 a_3)) True)) % 5.75/5.97 Clause #279 (by superposition #[278, 171]): ∀ (a a_1 a_2 : Iota), % 5.75/5.97 Or (Eq (xsd_string (skS.0 3 a)) True) (Or (Eq (rp (skS.0 1 a_1) (skS.0 6 a_1 a_2)) True) (Eq False True)) % 5.75/5.97 Clause #281 (by clausification #[279]): ∀ (a a_1 a_2 : Iota), Or (Eq (xsd_string (skS.0 3 a)) True) (Eq (rp (skS.0 1 a_1) (skS.0 6 a_1 a_2)) True) % 5.75/5.97 Clause #287 (by superposition #[281, 173]): ∀ (a a_1 a_2 a_3 : Iota), % 5.75/5.97 Or (Eq (xsd_string (skS.0 3 a)) True) (Or (Eq True False) (Eq (skS.0 0 (skS.0 1 a_1) a_2) (skS.0 6 a_1 a_3))) % 5.75/5.97 Clause #303 (by clausification #[287]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (xsd_string (skS.0 3 a)) True) (Eq (skS.0 0 (skS.0 1 a_1) a_2) (skS.0 6 a_1 a_3)) % 5.75/5.97 Clause #304 (by backward contextual literal cutting #[303, 227]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 3 a)) True) (Eq (xsd_string (skS.0 3 a_1)) True) % 5.75/5.97 Clause #316 (by equality factoring #[304]): ∀ (a : Iota), Or (Ne True True) (Eq (xsd_string (skS.0 3 a)) True) % 5.75/5.97 Clause #317 (by clausification #[316]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 3 a)) True) (Or (Eq True False) (Eq True False)) % 5.75/5.97 Clause #319 (by clausification #[317]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 3 a)) True) (Eq True False) % 5.75/5.97 Clause #320 (by clausification #[319]): ∀ (a : Iota), Eq (xsd_string (skS.0 3 a)) True % 5.75/5.97 Clause #321 (by backward demodulation #[320, 186]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.75/5.97 Or (Eq True False) % 5.75/5.97 (Or (Eq (xsd_integer (skS.0 3 a)) True) % 5.75/5.97 (Or (Eq (rp (skS.0 1 a_1) a_2) False) (Eq (rp (skS.0 1 a_1) (skS.0 5 a_1 a_3 a_4)) True))) % 5.75/5.97 Clause #322 (by backward demodulation #[320, 189]): ∀ (a a_1 a_2 a_3 : Iota), % 5.75/5.97 Or (Eq True False) % 5.75/5.97 (Or (Eq (xsd_integer (skS.0 3 a)) True) % 5.75/5.97 (Or (Eq (rp (skS.0 1 a_1) a_2) False) (Eq (rp (skS.0 1 a_1) (skS.0 4 a_1 a_3)) True))) % 5.75/5.97 Clause #323 (by backward demodulation #[320, 190]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.75/5.97 Or (Eq True False) % 5.75/5.97 (Or (Eq (xsd_integer (skS.0 3 a)) True) % 5.75/5.97 (Or (Eq (rp (skS.0 1 a_1) a_2) False) (Ne (skS.0 4 a_1 a_3) (skS.0 5 a_1 a_3 a_4)))) % 5.75/5.97 Clause #324 (by superposition #[320, 63]): ∀ (a : Iota), Or (Eq True False) (Eq (xsd_integer (skS.0 3 a)) False) % 5.75/5.97 Clause #325 (by clausification #[324]): ∀ (a : Iota), Eq (xsd_integer (skS.0 3 a)) False % 5.75/5.97 Clause #334 (by clausification #[322]): ∀ (a a_1 a_2 a_3 : Iota), % 5.75/5.97 Or (Eq (xsd_integer (skS.0 3 a)) True) % 5.75/5.97 (Or (Eq (rp (skS.0 1 a_1) a_2) False) (Eq (rp (skS.0 1 a_1) (skS.0 4 a_1 a_3)) True)) % 5.75/5.97 Clause #335 (by superposition #[334, 171]): ∀ (a a_1 a_2 : Iota), % 5.75/5.97 Or (Eq (xsd_integer (skS.0 3 a)) True) (Or (Eq (rp (skS.0 1 a_1) (skS.0 4 a_1 a_2)) True) (Eq False True)) % 5.75/5.97 Clause #336 (by clausification #[335]): ∀ (a a_1 a_2 : Iota), Or (Eq (xsd_integer (skS.0 3 a)) True) (Eq (rp (skS.0 1 a_1) (skS.0 4 a_1 a_2)) True) % 5.75/5.97 Clause #337 (by superposition #[336, 325]): ∀ (a a_1 : Iota), Or (Eq (rp (skS.0 1 a) (skS.0 4 a a_1)) True) (Eq True False) % 5.75/5.97 Clause #345 (by clausification #[337]): ∀ (a a_1 : Iota), Eq (rp (skS.0 1 a) (skS.0 4 a a_1)) True % 5.75/5.97 Clause #346 (by superposition #[345, 166]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Or (Eq (rp (skS.0 1 a) a_1) False) (Eq (skS.0 4 a a_2) a_1)) % 5.75/5.97 Clause #352 (by clausification #[346]): ∀ (a a_1 a_2 : Iota), Or (Eq (rp (skS.0 1 a) a_1) False) (Eq (skS.0 4 a a_2) a_1) % 5.75/5.97 Clause #382 (by clausification #[323]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.75/5.97 Or (Eq (xsd_integer (skS.0 3 a)) True) % 5.75/5.97 (Or (Eq (rp (skS.0 1 a_1) a_2) False) (Ne (skS.0 4 a_1 a_3) (skS.0 5 a_1 a_3 a_4))) % 5.75/5.97 Clause #383 (by superposition #[382, 171]): ∀ (a a_1 a_2 a_3 : Iota), % 5.75/5.98 Or (Eq (xsd_integer (skS.0 3 a)) True) (Or (Ne (skS.0 4 a_1 a_2) (skS.0 5 a_1 a_2 a_3)) (Eq False True)) % 5.75/5.98 Clause #387 (by clausification #[383]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (xsd_integer (skS.0 3 a)) True) (Ne (skS.0 4 a_1 a_2) (skS.0 5 a_1 a_2 a_3)) % 5.75/5.98 Clause #388 (by clausification #[321]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.75/5.98 Or (Eq (xsd_integer (skS.0 3 a)) True) % 5.75/5.98 (Or (Eq (rp (skS.0 1 a_1) a_2) False) (Eq (rp (skS.0 1 a_1) (skS.0 5 a_1 a_3 a_4)) True)) % 5.75/5.98 Clause #389 (by superposition #[388, 171]): ∀ (a a_1 a_2 a_3 : Iota), % 5.75/5.98 Or (Eq (xsd_integer (skS.0 3 a)) True) (Or (Eq (rp (skS.0 1 a_1) (skS.0 5 a_1 a_2 a_3)) True) (Eq False True)) % 5.75/5.98 Clause #392 (by clausification #[389]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (xsd_integer (skS.0 3 a)) True) (Eq (rp (skS.0 1 a_1) (skS.0 5 a_1 a_2 a_3)) True) % 5.75/5.98 Clause #393 (by superposition #[392, 325]): ∀ (a a_1 a_2 : Iota), Or (Eq (rp (skS.0 1 a) (skS.0 5 a a_1 a_2)) True) (Eq True False) % 5.75/5.98 Clause #397 (by clausification #[393]): ∀ (a a_1 a_2 : Iota), Eq (rp (skS.0 1 a) (skS.0 5 a a_1 a_2)) True % 5.75/5.98 Clause #400 (by superposition #[397, 352]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (skS.0 4 a a_1) (skS.0 5 a a_2 a_3)) % 5.75/5.98 Clause #401 (by clausification #[400]): ∀ (a a_1 a_2 a_3 : Iota), Eq (skS.0 4 a a_1) (skS.0 5 a a_2 a_3) % 5.75/5.98 Clause #402 (by backward contextual literal cutting #[401, 387]): ∀ (a : Iota), Eq (xsd_integer (skS.0 3 a)) True % 5.75/5.98 Clause #406 (by superposition #[402, 325]): Eq True False % 5.75/5.98 Clause #407 (by clausification #[406]): False % 5.75/5.98 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------