%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KRS148+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n009.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 50.41s 50.60s % Output : Proof 50.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : KRS148+1 : TPTP v9.2.0. Released v3.1.0. % 0.08/0.15 % Command : duper %s % 0.14/0.37 % Computer : n009.cluster.edu % 0.14/0.37 % Model : x86_64 x86_64 % 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.37 % Memory : 8042.1875MB % 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.37 % CPULimit : 300 % 0.14/0.37 % WCLimit : 300 % 0.14/0.37 % DateTime : Thu Oct 2 10:12:08 EDT 2025 % 0.14/0.37 % CPUTime : % 50.41/50.60 SZS status Theorem for theBenchmark.p % 50.41/50.60 SZS output start Proof for theBenchmark.p % 50.41/50.60 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True % 50.41/50.60 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) True % 50.41/50.60 Clause #25 (by assumption #[]): Eq (∀ (X : Iota), Iff (cC140 X) (And (cTOP X) (cC138 X))) True % 50.41/50.60 Clause #71 (by assumption #[]): Eq (∀ (X : Iota), Iff (cTEST X) (And (cC140 X) (cC116 X))) True % 50.41/50.60 Clause #72 (by assumption #[]): Eq (cTEST iV5475) True % 50.41/50.60 Clause #89 (by assumption #[]): Eq % 50.41/50.60 (Not % 50.41/50.60 (And % 50.41/50.60 (And % 50.41/50.60 (And % 50.41/50.60 (And % 50.41/50.60 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 50.41/50.60 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 50.41/50.60 (cC138 iV5475)) % 50.41/50.60 (cowlThing iV5475)) % 50.41/50.60 (cC116 iV5475)) % 50.41/50.60 (cC140 iV5475))) % 50.41/50.60 True % 50.41/50.60 Clause #90 (by clausification #[0]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True % 50.41/50.60 Clause #91 (by clausification #[90]): ∀ (a : Iota), Eq (Not (cowlNothing a)) True % 50.41/50.60 Clause #92 (by clausification #[90]): ∀ (a : Iota), Eq (cowlThing a) True % 50.41/50.60 Clause #93 (by clausification #[91]): ∀ (a : Iota), Eq (cowlNothing a) False % 50.41/50.60 Clause #96 (by clausification #[1]): ∀ (a : Iota), Eq (Iff (xsd_string a) (Not (xsd_integer a))) True % 50.41/50.60 Clause #97 (by clausification #[96]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (Not (xsd_integer a)) False) % 50.41/50.60 Clause #98 (by clausification #[96]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (Not (xsd_integer a)) True) % 50.41/50.60 Clause #99 (by clausification #[97]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (xsd_integer a) True) % 50.41/50.60 Clause #123 (by clausification #[98]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (xsd_integer a) False) % 50.41/50.60 Clause #178 (by clausification #[25]): ∀ (a : Iota), Eq (Iff (cC140 a) (And (cTOP a) (cC138 a))) True % 50.41/50.60 Clause #180 (by clausification #[178]): ∀ (a : Iota), Or (Eq (cC140 a) False) (Eq (And (cTOP a) (cC138 a)) True) % 50.41/50.60 Clause #189 (by clausification #[180]): ∀ (a : Iota), Or (Eq (cC140 a) False) (Eq (cC138 a) True) % 50.41/50.60 Clause #223 (by clausification #[71]): ∀ (a : Iota), Eq (Iff (cTEST a) (And (cC140 a) (cC116 a))) True % 50.41/50.60 Clause #225 (by clausification #[223]): ∀ (a : Iota), Or (Eq (cTEST a) False) (Eq (And (cC140 a) (cC116 a)) True) % 50.41/50.60 Clause #227 (by clausification #[225]): ∀ (a : Iota), Or (Eq (cTEST a) False) (Eq (cC116 a) True) % 50.41/50.60 Clause #228 (by clausification #[225]): ∀ (a : Iota), Or (Eq (cTEST a) False) (Eq (cC140 a) True) % 50.41/50.60 Clause #229 (by superposition #[227, 72]): Or (Eq (cC116 iV5475) True) (Eq False True) % 50.41/50.60 Clause #236 (by clausification #[229]): Eq (cC116 iV5475) True % 50.41/50.60 Clause #237 (by superposition #[228, 72]): Or (Eq (cC140 iV5475) True) (Eq False True) % 50.41/50.60 Clause #238 (by clausification #[237]): Eq (cC140 iV5475) True % 50.41/50.60 Clause #240 (by superposition #[238, 189]): Or (Eq True False) (Eq (cC138 iV5475) True) % 50.41/50.60 Clause #243 (by clausification #[240]): Eq (cC138 iV5475) True % 50.41/50.60 Clause #870 (by clausification #[89]): Eq % 50.41/50.60 (And % 50.41/50.60 (And % 50.41/50.60 (And % 50.41/50.60 (And % 50.41/50.60 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 50.41/50.60 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 50.41/50.60 (cC138 iV5475)) % 50.41/50.60 (cowlThing iV5475)) % 50.41/50.60 (cC116 iV5475)) % 50.41/50.60 (cC140 iV5475)) % 50.41/50.60 False % 50.41/50.60 Clause #871 (by clausification #[870]): Or % 50.41/50.60 (Eq % 50.41/50.60 (And % 50.41/50.60 (And % 50.41/50.60 (And % 50.41/50.60 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 50.41/50.60 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 50.41/50.60 (cC138 iV5475)) % 50.41/50.60 (cowlThing iV5475)) % 50.41/50.60 (cC116 iV5475)) % 50.41/50.60 False) % 50.41/50.60 (Eq (cC140 iV5475) False) % 50.41/50.60 Clause #872 (by clausification #[871]): Or (Eq (cC140 iV5475) False) % 50.41/50.60 (Or % 50.41/50.60 (Eq % 50.41/50.60 (And % 50.41/50.60 (And % 50.41/50.60 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 50.41/50.60 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 50.41/50.60 (cC138 iV5475)) % 50.41/50.60 (cowlThing iV5475)) % 50.41/50.60 False) % 50.41/50.60 (Eq (cC116 iV5475) False)) % 50.41/50.60 Clause #873 (by clausification #[872]): Or (Eq (cC140 iV5475) False) % 50.41/50.60 (Or (Eq (cC116 iV5475) False) % 50.41/50.60 (Or % 50.41/50.60 (Eq % 50.45/50.63 (And % 50.45/50.63 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 50.45/50.63 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 50.45/50.63 (cC138 iV5475)) % 50.45/50.63 False) % 50.45/50.63 (Eq (cowlThing iV5475) False))) % 50.45/50.63 Clause #874 (by clausification #[873]): Or (Eq (cC140 iV5475) False) % 50.45/50.63 (Or (Eq (cC116 iV5475) False) % 50.45/50.63 (Or (Eq (cowlThing iV5475) False) % 50.45/50.63 (Or % 50.45/50.63 (Eq % 50.45/50.63 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 50.45/50.63 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 50.45/50.63 False) % 50.45/50.63 (Eq (cC138 iV5475) False)))) % 50.45/50.63 Clause #875 (by clausification #[874]): Or (Eq (cC140 iV5475) False) % 50.45/50.63 (Or (Eq (cC116 iV5475) False) % 50.45/50.63 (Or (Eq (cowlThing iV5475) False) % 50.45/50.63 (Or (Eq (cC138 iV5475) False) % 50.45/50.63 (Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False) % 50.45/50.63 (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False))))) % 50.45/50.63 Clause #876 (by clausification #[875]): ∀ (a : Iota), % 50.45/50.63 Or (Eq (cC140 iV5475) False) % 50.45/50.63 (Or (Eq (cC116 iV5475) False) % 50.45/50.63 (Or (Eq (cowlThing iV5475) False) % 50.45/50.63 (Or (Eq (cC138 iV5475) False) % 50.45/50.63 (Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False) % 50.45/50.63 (Eq (Not (And (cowlThing (skS.0 32 a)) (Not (cowlNothing (skS.0 32 a))))) True))))) % 50.45/50.63 Clause #877 (by clausification #[876]): ∀ (a a_1 : Iota), % 50.45/50.63 Or (Eq (cC140 iV5475) False) % 50.45/50.63 (Or (Eq (cC116 iV5475) False) % 50.45/50.63 (Or (Eq (cowlThing iV5475) False) % 50.45/50.63 (Or (Eq (cC138 iV5475) False) % 50.45/50.63 (Or (Eq (Not (And (cowlThing (skS.0 32 a)) (Not (cowlNothing (skS.0 32 a))))) True) % 50.45/50.63 (Eq (Not (Iff (xsd_string (skS.0 33 a_1)) (Not (xsd_integer (skS.0 33 a_1))))) True))))) % 50.45/50.63 Clause #878 (by clausification #[877]): ∀ (a a_1 : Iota), % 50.45/50.63 Or (Eq (cC140 iV5475) False) % 50.45/50.63 (Or (Eq (cC116 iV5475) False) % 50.45/50.63 (Or (Eq (cowlThing iV5475) False) % 50.45/50.63 (Or (Eq (cC138 iV5475) False) % 50.45/50.63 (Or (Eq (Not (Iff (xsd_string (skS.0 33 a)) (Not (xsd_integer (skS.0 33 a))))) True) % 50.45/50.63 (Eq (And (cowlThing (skS.0 32 a_1)) (Not (cowlNothing (skS.0 32 a_1)))) False))))) % 50.45/50.63 Clause #879 (by clausification #[878]): ∀ (a a_1 : Iota), % 50.45/50.63 Or (Eq (cC140 iV5475) False) % 50.45/50.63 (Or (Eq (cC116 iV5475) False) % 50.45/50.63 (Or (Eq (cowlThing iV5475) False) % 50.45/50.63 (Or (Eq (cC138 iV5475) False) % 50.45/50.63 (Or (Eq (And (cowlThing (skS.0 32 a)) (Not (cowlNothing (skS.0 32 a)))) False) % 50.45/50.63 (Eq (Iff (xsd_string (skS.0 33 a_1)) (Not (xsd_integer (skS.0 33 a_1)))) False))))) % 50.45/50.63 Clause #880 (by clausification #[879]): ∀ (a a_1 : Iota), % 50.45/50.63 Or (Eq (cC140 iV5475) False) % 50.45/50.63 (Or (Eq (cC116 iV5475) False) % 50.45/50.63 (Or (Eq (cowlThing iV5475) False) % 50.45/50.63 (Or (Eq (cC138 iV5475) False) % 50.45/50.63 (Or (Eq (Iff (xsd_string (skS.0 33 a)) (Not (xsd_integer (skS.0 33 a)))) False) % 50.45/50.63 (Or (Eq (cowlThing (skS.0 32 a_1)) False) (Eq (Not (cowlNothing (skS.0 32 a_1))) False)))))) % 50.45/50.63 Clause #881 (by clausification #[880]): ∀ (a a_1 : Iota), % 50.45/50.63 Or (Eq (cC140 iV5475) False) % 50.45/50.63 (Or (Eq (cC116 iV5475) False) % 50.45/50.63 (Or (Eq (cowlThing iV5475) False) % 50.45/50.63 (Or (Eq (cC138 iV5475) False) % 50.45/50.63 (Or (Eq (cowlThing (skS.0 32 a)) False) % 50.45/50.63 (Or (Eq (Not (cowlNothing (skS.0 32 a))) False) % 50.45/50.63 (Or (Eq (xsd_string (skS.0 33 a_1)) False) (Eq (Not (xsd_integer (skS.0 33 a_1))) False))))))) % 50.45/50.63 Clause #882 (by clausification #[880]): ∀ (a a_1 : Iota), % 50.45/50.63 Or (Eq (cC140 iV5475) False) % 50.45/50.63 (Or (Eq (cC116 iV5475) False) % 50.45/50.63 (Or (Eq (cowlThing iV5475) False) % 50.45/50.63 (Or (Eq (cC138 iV5475) False) % 50.45/50.63 (Or (Eq (cowlThing (skS.0 32 a)) False) % 50.45/50.63 (Or (Eq (Not (cowlNothing (skS.0 32 a))) False) % 50.45/50.63 (Or (Eq (xsd_string (skS.0 33 a_1)) True) (Eq (Not (xsd_integer (skS.0 33 a_1))) True))))))) % 50.45/50.63 Clause #883 (by clausification #[881]): ∀ (a a_1 : Iota), % 50.45/50.63 Or (Eq (cC140 iV5475) False) % 50.45/50.63 (Or (Eq (cC116 iV5475) False) % 50.45/50.63 (Or (Eq (cowlThing iV5475) False) % 50.45/50.63 (Or (Eq (cC138 iV5475) False) % 50.45/50.63 (Or (Eq (cowlThing (skS.0 32 a)) False) % 50.45/50.63 (Or (Eq (xsd_string (skS.0 33 a_1)) False) % 50.45/50.63 (Or (Eq (Not (xsd_integer (skS.0 33 a_1))) False) (Eq (cowlNothing (skS.0 32 a)) True))))))) % 50.45/50.65 Clause #884 (by clausification #[883]): ∀ (a a_1 : Iota), % 50.45/50.65 Or (Eq (cC140 iV5475) False) % 50.45/50.65 (Or (Eq (cC116 iV5475) False) % 50.45/50.65 (Or (Eq (cowlThing iV5475) False) % 50.45/50.65 (Or (Eq (cC138 iV5475) False) % 50.45/50.65 (Or (Eq (cowlThing (skS.0 32 a)) False) % 50.45/50.65 (Or (Eq (xsd_string (skS.0 33 a_1)) False) % 50.45/50.65 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) True))))))) % 50.45/50.65 Clause #885 (by forward demodulation #[884, 238]): ∀ (a a_1 : Iota), % 50.45/50.65 Or (Eq True False) % 50.45/50.65 (Or (Eq (cC116 iV5475) False) % 50.45/50.65 (Or (Eq (cowlThing iV5475) False) % 50.45/50.65 (Or (Eq (cC138 iV5475) False) % 50.45/50.65 (Or (Eq (cowlThing (skS.0 32 a)) False) % 50.45/50.65 (Or (Eq (xsd_string (skS.0 33 a_1)) False) % 50.45/50.65 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) True))))))) % 50.45/50.65 Clause #886 (by clausification #[885]): ∀ (a a_1 : Iota), % 50.45/50.65 Or (Eq (cC116 iV5475) False) % 50.45/50.65 (Or (Eq (cowlThing iV5475) False) % 50.45/50.65 (Or (Eq (cC138 iV5475) False) % 50.45/50.65 (Or (Eq (cowlThing (skS.0 32 a)) False) % 50.45/50.65 (Or (Eq (xsd_string (skS.0 33 a_1)) False) % 50.45/50.65 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) True)))))) % 50.45/50.65 Clause #887 (by forward demodulation #[886, 236]): ∀ (a a_1 : Iota), % 50.45/50.65 Or (Eq True False) % 50.45/50.65 (Or (Eq (cowlThing iV5475) False) % 50.45/50.65 (Or (Eq (cC138 iV5475) False) % 50.45/50.65 (Or (Eq (cowlThing (skS.0 32 a)) False) % 50.45/50.65 (Or (Eq (xsd_string (skS.0 33 a_1)) False) % 50.45/50.65 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) True)))))) % 50.45/50.65 Clause #888 (by clausification #[887]): ∀ (a a_1 : Iota), % 50.45/50.65 Or (Eq (cowlThing iV5475) False) % 50.45/50.65 (Or (Eq (cC138 iV5475) False) % 50.45/50.65 (Or (Eq (cowlThing (skS.0 32 a)) False) % 50.45/50.65 (Or (Eq (xsd_string (skS.0 33 a_1)) False) % 50.45/50.65 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) True))))) % 50.45/50.65 Clause #889 (by forward demodulation #[888, 92]): ∀ (a a_1 : Iota), % 50.45/50.65 Or (Eq True False) % 50.45/50.65 (Or (Eq (cC138 iV5475) False) % 50.45/50.65 (Or (Eq (cowlThing (skS.0 32 a)) False) % 50.45/50.65 (Or (Eq (xsd_string (skS.0 33 a_1)) False) % 50.45/50.65 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) True))))) % 50.45/50.65 Clause #890 (by clausification #[889]): ∀ (a a_1 : Iota), % 50.45/50.65 Or (Eq (cC138 iV5475) False) % 50.45/50.65 (Or (Eq (cowlThing (skS.0 32 a)) False) % 50.45/50.65 (Or (Eq (xsd_string (skS.0 33 a_1)) False) % 50.45/50.65 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) True)))) % 50.45/50.65 Clause #891 (by forward demodulation #[890, 243]): ∀ (a a_1 : Iota), % 50.45/50.65 Or (Eq True False) % 50.45/50.65 (Or (Eq (cowlThing (skS.0 32 a)) False) % 50.45/50.65 (Or (Eq (xsd_string (skS.0 33 a_1)) False) % 50.45/50.65 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) True)))) % 50.45/50.65 Clause #892 (by clausification #[891]): ∀ (a a_1 : Iota), % 50.45/50.65 Or (Eq (cowlThing (skS.0 32 a)) False) % 50.45/50.65 (Or (Eq (xsd_string (skS.0 33 a_1)) False) % 50.45/50.65 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) True))) % 50.45/50.65 Clause #893 (by forward demodulation #[892, 92]): ∀ (a a_1 : Iota), % 50.45/50.65 Or (Eq True False) % 50.45/50.65 (Or (Eq (xsd_string (skS.0 33 a)) False) % 50.45/50.65 (Or (Eq (cowlNothing (skS.0 32 a_1)) True) (Eq (xsd_integer (skS.0 33 a)) True))) % 50.45/50.65 Clause #894 (by clausification #[893]): ∀ (a a_1 : Iota), % 50.45/50.65 Or (Eq (xsd_string (skS.0 33 a)) False) % 50.45/50.65 (Or (Eq (cowlNothing (skS.0 32 a_1)) True) (Eq (xsd_integer (skS.0 33 a)) True)) % 50.45/50.65 Clause #1836 (by clausification #[882]): ∀ (a a_1 : Iota), % 50.45/50.65 Or (Eq (cC140 iV5475) False) % 50.45/50.65 (Or (Eq (cC116 iV5475) False) % 50.45/50.65 (Or (Eq (cowlThing iV5475) False) % 50.45/50.65 (Or (Eq (cC138 iV5475) False) % 50.45/50.65 (Or (Eq (cowlThing (skS.0 32 a)) False) % 50.45/50.65 (Or (Eq (xsd_string (skS.0 33 a_1)) True) % 50.45/50.65 (Or (Eq (Not (xsd_integer (skS.0 33 a_1))) True) (Eq (cowlNothing (skS.0 32 a)) True))))))) % 50.45/50.65 Clause #1837 (by clausification #[1836]): ∀ (a a_1 : Iota), % 50.45/50.65 Or (Eq (cC140 iV5475) False) % 50.45/50.65 (Or (Eq (cC116 iV5475) False) % 50.45/50.65 (Or (Eq (cowlThing iV5475) False) % 50.45/50.65 (Or (Eq (cC138 iV5475) False) % 50.45/50.65 (Or (Eq (cowlThing (skS.0 32 a)) False) % 50.45/50.68 (Or (Eq (xsd_string (skS.0 33 a_1)) True) % 50.45/50.68 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) False))))))) % 50.45/50.68 Clause #1838 (by forward demodulation #[1837, 238]): ∀ (a a_1 : Iota), % 50.45/50.68 Or (Eq True False) % 50.45/50.68 (Or (Eq (cC116 iV5475) False) % 50.45/50.68 (Or (Eq (cowlThing iV5475) False) % 50.45/50.68 (Or (Eq (cC138 iV5475) False) % 50.45/50.68 (Or (Eq (cowlThing (skS.0 32 a)) False) % 50.45/50.68 (Or (Eq (xsd_string (skS.0 33 a_1)) True) % 50.45/50.68 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) False))))))) % 50.45/50.68 Clause #1839 (by clausification #[1838]): ∀ (a a_1 : Iota), % 50.45/50.68 Or (Eq (cC116 iV5475) False) % 50.45/50.68 (Or (Eq (cowlThing iV5475) False) % 50.45/50.68 (Or (Eq (cC138 iV5475) False) % 50.45/50.68 (Or (Eq (cowlThing (skS.0 32 a)) False) % 50.45/50.68 (Or (Eq (xsd_string (skS.0 33 a_1)) True) % 50.45/50.68 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) False)))))) % 50.45/50.68 Clause #1840 (by forward demodulation #[1839, 236]): ∀ (a a_1 : Iota), % 50.45/50.68 Or (Eq True False) % 50.45/50.68 (Or (Eq (cowlThing iV5475) False) % 50.45/50.68 (Or (Eq (cC138 iV5475) False) % 50.45/50.68 (Or (Eq (cowlThing (skS.0 32 a)) False) % 50.45/50.68 (Or (Eq (xsd_string (skS.0 33 a_1)) True) % 50.45/50.68 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) False)))))) % 50.45/50.68 Clause #1841 (by clausification #[1840]): ∀ (a a_1 : Iota), % 50.45/50.68 Or (Eq (cowlThing iV5475) False) % 50.45/50.68 (Or (Eq (cC138 iV5475) False) % 50.45/50.68 (Or (Eq (cowlThing (skS.0 32 a)) False) % 50.45/50.68 (Or (Eq (xsd_string (skS.0 33 a_1)) True) % 50.45/50.68 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) False))))) % 50.45/50.68 Clause #1842 (by forward demodulation #[1841, 92]): ∀ (a a_1 : Iota), % 50.45/50.68 Or (Eq True False) % 50.45/50.68 (Or (Eq (cC138 iV5475) False) % 50.45/50.68 (Or (Eq (cowlThing (skS.0 32 a)) False) % 50.45/50.68 (Or (Eq (xsd_string (skS.0 33 a_1)) True) % 50.45/50.68 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) False))))) % 50.45/50.68 Clause #1843 (by clausification #[1842]): ∀ (a a_1 : Iota), % 50.45/50.68 Or (Eq (cC138 iV5475) False) % 50.45/50.68 (Or (Eq (cowlThing (skS.0 32 a)) False) % 50.45/50.68 (Or (Eq (xsd_string (skS.0 33 a_1)) True) % 50.45/50.68 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) False)))) % 50.45/50.68 Clause #1844 (by forward demodulation #[1843, 243]): ∀ (a a_1 : Iota), % 50.45/50.68 Or (Eq True False) % 50.45/50.68 (Or (Eq (cowlThing (skS.0 32 a)) False) % 50.45/50.68 (Or (Eq (xsd_string (skS.0 33 a_1)) True) % 50.45/50.68 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) False)))) % 50.45/50.68 Clause #1845 (by clausification #[1844]): ∀ (a a_1 : Iota), % 50.45/50.68 Or (Eq (cowlThing (skS.0 32 a)) False) % 50.45/50.68 (Or (Eq (xsd_string (skS.0 33 a_1)) True) % 50.45/50.68 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) False))) % 50.45/50.68 Clause #1846 (by forward demodulation #[1845, 92]): ∀ (a a_1 : Iota), % 50.45/50.68 Or (Eq True False) % 50.45/50.68 (Or (Eq (xsd_string (skS.0 33 a)) True) % 50.45/50.68 (Or (Eq (cowlNothing (skS.0 32 a_1)) True) (Eq (xsd_integer (skS.0 33 a)) False))) % 50.45/50.68 Clause #1847 (by clausification #[1846]): ∀ (a a_1 : Iota), % 50.45/50.68 Or (Eq (xsd_string (skS.0 33 a)) True) % 50.45/50.68 (Or (Eq (cowlNothing (skS.0 32 a_1)) True) (Eq (xsd_integer (skS.0 33 a)) False)) % 50.45/50.68 Clause #1848 (by superposition #[1847, 99]): ∀ (a a_1 : Iota), % 50.45/50.68 Or (Eq (xsd_string (skS.0 33 a)) True) % 50.45/50.68 (Or (Eq (cowlNothing (skS.0 32 a_1)) True) (Or (Eq (xsd_string (skS.0 33 a)) True) (Eq False True))) % 50.45/50.68 Clause #6069 (by clausification #[1848]): ∀ (a a_1 : Iota), % 50.45/50.68 Or (Eq (xsd_string (skS.0 33 a)) True) (Or (Eq (cowlNothing (skS.0 32 a_1)) True) (Eq (xsd_string (skS.0 33 a)) True)) % 50.45/50.68 Clause #6070 (by eliminate duplicate literals #[6069]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 33 a)) True) (Eq (cowlNothing (skS.0 32 a_1)) True) % 50.45/50.68 Clause #6073 (by superposition #[6070, 93]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 33 a)) True) (Eq True False) % 50.45/50.68 Clause #6074 (by clausification #[6073]): ∀ (a : Iota), Eq (xsd_string (skS.0 33 a)) True % 50.45/50.68 Clause #6075 (by backward demodulation #[6074, 894]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) True)) % 50.45/50.68 Clause #6076 (by superposition #[6074, 123]): ∀ (a : Iota), Or (Eq True False) (Eq (xsd_integer (skS.0 33 a)) False) % 50.53/50.71 Clause #6077 (by clausification #[6076]): ∀ (a : Iota), Eq (xsd_integer (skS.0 33 a)) False % 50.53/50.71 Clause #6079 (by clausification #[6075]): ∀ (a a_1 : Iota), Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) True) % 50.53/50.71 Clause #6081 (by superposition #[6079, 6077]): ∀ (a : Iota), Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq True False) % 50.53/50.71 Clause #6082 (by clausification #[6081]): ∀ (a : Iota), Eq (cowlNothing (skS.0 32 a)) True % 50.53/50.71 Clause #6083 (by superposition #[6082, 93]): Eq True False % 50.53/50.71 Clause #6085 (by clausification #[6083]): False % 50.53/50.71 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------