%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KRS137+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n004.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 07:52:41 PM UTC 2025 % Result : Theorem 3.86s 4.03s % Output : Proof 3.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : KRS137+1 : TPTP v9.2.0. Released v3.1.0. % 0.07/0.14 % Command : duper %s % 0.15/0.35 % Computer : n004.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 300 % 0.15/0.35 % DateTime : Thu Oct 2 10:22:08 EDT 2025 % 0.15/0.36 % CPUTime : % 3.86/4.03 SZS status Theorem for theBenchmark.p % 3.86/4.03 SZS output start Proof for theBenchmark.p % 3.86/4.03 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True % 3.86/4.03 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) True % 3.86/4.03 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Iff (cCar X) (cAutomobile X)) True % 3.86/4.03 Clause #4 (by assumption #[]): Eq (cAutomobile iauto) True % 3.86/4.03 Clause #6 (by assumption #[]): Eq (cCar icar) True % 3.86/4.03 Clause #7 (by assumption #[]): Eq % 3.86/4.03 (Not % 3.86/4.03 (And % 3.86/4.03 (And % 3.86/4.03 (And % 3.86/4.03 (And % 3.86/4.03 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 3.86/4.03 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 3.86/4.03 (cCar iauto)) % 3.86/4.03 (cowlThing iauto)) % 3.86/4.03 (cowlThing icar)) % 3.86/4.03 (cAutomobile icar))) % 3.86/4.03 True % 3.86/4.03 Clause #8 (by clausification #[2]): ∀ (a : Iota), Eq (Iff (cCar a) (cAutomobile a)) True % 3.86/4.03 Clause #9 (by clausification #[8]): ∀ (a : Iota), Or (Eq (cCar a) True) (Eq (cAutomobile a) False) % 3.86/4.03 Clause #10 (by clausification #[8]): ∀ (a : Iota), Or (Eq (cCar a) False) (Eq (cAutomobile a) True) % 3.86/4.03 Clause #11 (by superposition #[9, 4]): Or (Eq (cCar iauto) True) (Eq False True) % 3.86/4.03 Clause #12 (by clausification #[0]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True % 3.86/4.03 Clause #13 (by clausification #[12]): ∀ (a : Iota), Eq (Not (cowlNothing a)) True % 3.86/4.03 Clause #14 (by clausification #[12]): ∀ (a : Iota), Eq (cowlThing a) True % 3.86/4.03 Clause #15 (by clausification #[13]): ∀ (a : Iota), Eq (cowlNothing a) False % 3.86/4.03 Clause #16 (by clausification #[11]): Eq (cCar iauto) True % 3.86/4.03 Clause #17 (by superposition #[10, 6]): Or (Eq (cAutomobile icar) True) (Eq False True) % 3.86/4.03 Clause #19 (by clausification #[17]): Eq (cAutomobile icar) True % 3.86/4.03 Clause #21 (by clausification #[1]): ∀ (a : Iota), Eq (Iff (xsd_string a) (Not (xsd_integer a))) True % 3.86/4.03 Clause #22 (by clausification #[21]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (Not (xsd_integer a)) False) % 3.86/4.03 Clause #23 (by clausification #[21]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (Not (xsd_integer a)) True) % 3.86/4.03 Clause #24 (by clausification #[22]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (xsd_integer a) True) % 3.86/4.03 Clause #25 (by clausification #[23]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (xsd_integer a) False) % 3.86/4.03 Clause #28 (by clausification #[7]): Eq % 3.86/4.03 (And % 3.86/4.03 (And % 3.86/4.03 (And % 3.86/4.03 (And % 3.86/4.03 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 3.86/4.03 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 3.86/4.03 (cCar iauto)) % 3.86/4.03 (cowlThing iauto)) % 3.86/4.03 (cowlThing icar)) % 3.86/4.03 (cAutomobile icar)) % 3.86/4.03 False % 3.86/4.03 Clause #29 (by clausification #[28]): Or % 3.86/4.03 (Eq % 3.86/4.03 (And % 3.86/4.03 (And % 3.86/4.03 (And % 3.86/4.03 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 3.86/4.03 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 3.86/4.03 (cCar iauto)) % 3.86/4.03 (cowlThing iauto)) % 3.86/4.03 (cowlThing icar)) % 3.86/4.03 False) % 3.86/4.03 (Eq (cAutomobile icar) False) % 3.86/4.03 Clause #30 (by clausification #[29]): Or (Eq (cAutomobile icar) False) % 3.86/4.03 (Or % 3.86/4.03 (Eq % 3.86/4.03 (And % 3.86/4.03 (And % 3.86/4.03 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 3.86/4.03 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 3.86/4.03 (cCar iauto)) % 3.86/4.03 (cowlThing iauto)) % 3.86/4.03 False) % 3.86/4.03 (Eq (cowlThing icar) False)) % 3.86/4.03 Clause #31 (by clausification #[30]): Or (Eq (cAutomobile icar) False) % 3.86/4.03 (Or (Eq (cowlThing icar) False) % 3.86/4.03 (Or % 3.86/4.03 (Eq % 3.86/4.03 (And % 3.86/4.03 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 3.86/4.03 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 3.86/4.03 (cCar iauto)) % 3.86/4.03 False) % 3.86/4.03 (Eq (cowlThing iauto) False))) % 3.86/4.03 Clause #32 (by clausification #[31]): Or (Eq (cAutomobile icar) False) % 3.86/4.03 (Or (Eq (cowlThing icar) False) % 3.86/4.03 (Or (Eq (cowlThing iauto) False) % 3.86/4.03 (Or % 3.86/4.03 (Eq % 3.86/4.03 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 3.86/4.03 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 3.86/4.03 False) % 3.86/4.03 (Eq (cCar iauto) False)))) % 3.86/4.03 Clause #33 (by clausification #[32]): Or (Eq (cAutomobile icar) False) % 3.90/4.06 (Or (Eq (cowlThing icar) False) % 3.90/4.06 (Or (Eq (cowlThing iauto) False) % 3.90/4.06 (Or (Eq (cCar iauto) False) % 3.90/4.06 (Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False) % 3.90/4.06 (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False))))) % 3.90/4.06 Clause #34 (by clausification #[33]): ∀ (a : Iota), % 3.90/4.06 Or (Eq (cAutomobile icar) False) % 3.90/4.06 (Or (Eq (cowlThing icar) False) % 3.90/4.06 (Or (Eq (cowlThing iauto) False) % 3.90/4.06 (Or (Eq (cCar iauto) False) % 3.90/4.06 (Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False) % 3.90/4.06 (Eq (Not (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a))))) True))))) % 3.90/4.06 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota), % 3.90/4.06 Or (Eq (cAutomobile icar) False) % 3.90/4.06 (Or (Eq (cowlThing icar) False) % 3.90/4.06 (Or (Eq (cowlThing iauto) False) % 3.90/4.06 (Or (Eq (cCar iauto) False) % 3.90/4.06 (Or (Eq (Not (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a))))) True) % 3.90/4.06 (Eq (Not (Iff (xsd_string (skS.0 1 a_1)) (Not (xsd_integer (skS.0 1 a_1))))) True))))) % 3.90/4.06 Clause #36 (by clausification #[35]): ∀ (a a_1 : Iota), % 3.90/4.06 Or (Eq (cAutomobile icar) False) % 3.90/4.06 (Or (Eq (cowlThing icar) False) % 3.90/4.06 (Or (Eq (cowlThing iauto) False) % 3.90/4.06 (Or (Eq (cCar iauto) False) % 3.90/4.06 (Or (Eq (Not (Iff (xsd_string (skS.0 1 a)) (Not (xsd_integer (skS.0 1 a))))) True) % 3.90/4.06 (Eq (And (cowlThing (skS.0 0 a_1)) (Not (cowlNothing (skS.0 0 a_1)))) False))))) % 3.90/4.06 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota), % 3.90/4.06 Or (Eq (cAutomobile icar) False) % 3.90/4.06 (Or (Eq (cowlThing icar) False) % 3.90/4.06 (Or (Eq (cowlThing iauto) False) % 3.90/4.06 (Or (Eq (cCar iauto) False) % 3.90/4.06 (Or (Eq (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a)))) False) % 3.90/4.06 (Eq (Iff (xsd_string (skS.0 1 a_1)) (Not (xsd_integer (skS.0 1 a_1)))) False))))) % 3.90/4.06 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota), % 3.90/4.06 Or (Eq (cAutomobile icar) False) % 3.90/4.06 (Or (Eq (cowlThing icar) False) % 3.90/4.06 (Or (Eq (cowlThing iauto) False) % 3.90/4.06 (Or (Eq (cCar iauto) False) % 3.90/4.06 (Or (Eq (Iff (xsd_string (skS.0 1 a)) (Not (xsd_integer (skS.0 1 a)))) False) % 3.90/4.06 (Or (Eq (cowlThing (skS.0 0 a_1)) False) (Eq (Not (cowlNothing (skS.0 0 a_1))) False)))))) % 3.90/4.06 Clause #39 (by clausification #[38]): ∀ (a a_1 : Iota), % 3.90/4.06 Or (Eq (cAutomobile icar) False) % 3.90/4.06 (Or (Eq (cowlThing icar) False) % 3.90/4.06 (Or (Eq (cowlThing iauto) False) % 3.90/4.06 (Or (Eq (cCar iauto) False) % 3.90/4.06 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.90/4.06 (Or (Eq (Not (cowlNothing (skS.0 0 a))) False) % 3.90/4.06 (Or (Eq (xsd_string (skS.0 1 a_1)) False) (Eq (Not (xsd_integer (skS.0 1 a_1))) False))))))) % 3.90/4.06 Clause #40 (by clausification #[38]): ∀ (a a_1 : Iota), % 3.90/4.06 Or (Eq (cAutomobile icar) False) % 3.90/4.06 (Or (Eq (cowlThing icar) False) % 3.90/4.06 (Or (Eq (cowlThing iauto) False) % 3.90/4.06 (Or (Eq (cCar iauto) False) % 3.90/4.06 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.90/4.06 (Or (Eq (Not (cowlNothing (skS.0 0 a))) False) % 3.90/4.06 (Or (Eq (xsd_string (skS.0 1 a_1)) True) (Eq (Not (xsd_integer (skS.0 1 a_1))) True))))))) % 3.90/4.06 Clause #41 (by clausification #[39]): ∀ (a a_1 : Iota), % 3.90/4.06 Or (Eq (cAutomobile icar) False) % 3.90/4.06 (Or (Eq (cowlThing icar) False) % 3.90/4.06 (Or (Eq (cowlThing iauto) False) % 3.90/4.06 (Or (Eq (cCar iauto) False) % 3.90/4.06 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.90/4.06 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 3.90/4.06 (Or (Eq (Not (xsd_integer (skS.0 1 a_1))) False) (Eq (cowlNothing (skS.0 0 a)) True))))))) % 3.90/4.06 Clause #42 (by clausification #[41]): ∀ (a a_1 : Iota), % 3.90/4.06 Or (Eq (cAutomobile icar) False) % 3.90/4.06 (Or (Eq (cowlThing icar) False) % 3.90/4.06 (Or (Eq (cowlThing iauto) False) % 3.90/4.06 (Or (Eq (cCar iauto) False) % 3.90/4.06 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.90/4.06 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 3.90/4.06 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))))))) % 3.90/4.06 Clause #43 (by forward demodulation #[42, 19]): ∀ (a a_1 : Iota), % 3.90/4.06 Or (Eq True False) % 3.90/4.06 (Or (Eq (cowlThing icar) False) % 3.90/4.06 (Or (Eq (cowlThing iauto) False) % 3.90/4.06 (Or (Eq (cCar iauto) False) % 3.90/4.06 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.90/4.08 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 3.90/4.08 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))))))) % 3.90/4.08 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota), % 3.90/4.08 Or (Eq (cowlThing icar) False) % 3.90/4.08 (Or (Eq (cowlThing iauto) False) % 3.90/4.08 (Or (Eq (cCar iauto) False) % 3.90/4.08 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.90/4.08 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 3.90/4.08 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))))) % 3.90/4.08 Clause #45 (by forward demodulation #[44, 14]): ∀ (a a_1 : Iota), % 3.90/4.08 Or (Eq True False) % 3.90/4.08 (Or (Eq (cowlThing iauto) False) % 3.90/4.08 (Or (Eq (cCar iauto) False) % 3.90/4.08 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.90/4.08 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 3.90/4.08 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))))) % 3.90/4.08 Clause #46 (by clausification #[45]): ∀ (a a_1 : Iota), % 3.90/4.08 Or (Eq (cowlThing iauto) False) % 3.90/4.08 (Or (Eq (cCar iauto) False) % 3.90/4.08 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.90/4.08 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 3.90/4.08 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))))) % 3.90/4.08 Clause #47 (by forward demodulation #[46, 14]): ∀ (a a_1 : Iota), % 3.90/4.08 Or (Eq True False) % 3.90/4.08 (Or (Eq (cCar iauto) False) % 3.90/4.08 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.90/4.08 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 3.90/4.08 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))))) % 3.90/4.08 Clause #48 (by clausification #[47]): ∀ (a a_1 : Iota), % 3.90/4.08 Or (Eq (cCar iauto) False) % 3.90/4.08 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.90/4.08 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 3.90/4.08 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))) % 3.90/4.08 Clause #49 (by forward demodulation #[48, 16]): ∀ (a a_1 : Iota), % 3.90/4.08 Or (Eq True False) % 3.90/4.08 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.90/4.08 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 3.90/4.08 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))) % 3.90/4.08 Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota), % 3.90/4.08 Or (Eq (cowlThing (skS.0 0 a)) False) % 3.90/4.08 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 3.90/4.08 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))) % 3.90/4.08 Clause #51 (by forward demodulation #[50, 14]): ∀ (a a_1 : Iota), % 3.90/4.08 Or (Eq True False) % 3.90/4.08 (Or (Eq (xsd_string (skS.0 1 a)) False) % 3.90/4.08 (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq (xsd_integer (skS.0 1 a)) True))) % 3.90/4.08 Clause #52 (by clausification #[51]): ∀ (a a_1 : Iota), % 3.90/4.08 Or (Eq (xsd_string (skS.0 1 a)) False) (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq (xsd_integer (skS.0 1 a)) True)) % 3.90/4.08 Clause #53 (by superposition #[52, 24]): ∀ (a a_1 : Iota), % 3.90/4.08 Or (Eq (cowlNothing (skS.0 0 a)) True) % 3.90/4.08 (Or (Eq (xsd_integer (skS.0 1 a_1)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 1 a_1)) True))) % 3.90/4.08 Clause #54 (by clausification #[53]): ∀ (a a_1 : Iota), % 3.90/4.08 Or (Eq (cowlNothing (skS.0 0 a)) True) % 3.90/4.08 (Or (Eq (xsd_integer (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)) % 3.90/4.08 Clause #55 (by eliminate duplicate literals #[54]): ∀ (a a_1 : Iota), Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True) % 3.90/4.08 Clause #56 (by superposition #[55, 15]): ∀ (a : Iota), Or (Eq (xsd_integer (skS.0 1 a)) True) (Eq True False) % 3.90/4.08 Clause #57 (by clausification #[40]): ∀ (a a_1 : Iota), % 3.90/4.08 Or (Eq (cAutomobile icar) False) % 3.90/4.08 (Or (Eq (cowlThing icar) False) % 3.90/4.08 (Or (Eq (cowlThing iauto) False) % 3.90/4.08 (Or (Eq (cCar iauto) False) % 3.90/4.08 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.90/4.08 (Or (Eq (xsd_string (skS.0 1 a_1)) True) % 3.90/4.08 (Or (Eq (Not (xsd_integer (skS.0 1 a_1))) True) (Eq (cowlNothing (skS.0 0 a)) True))))))) % 3.90/4.08 Clause #58 (by clausification #[57]): ∀ (a a_1 : Iota), % 3.90/4.08 Or (Eq (cAutomobile icar) False) % 3.90/4.08 (Or (Eq (cowlThing icar) False) % 3.90/4.08 (Or (Eq (cowlThing iauto) False) % 3.90/4.08 (Or (Eq (cCar iauto) False) % 3.90/4.08 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.90/4.08 (Or (Eq (xsd_string (skS.0 1 a_1)) True) % 3.90/4.08 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))))))) % 3.96/4.11 Clause #59 (by forward demodulation #[58, 19]): ∀ (a a_1 : Iota), % 3.96/4.11 Or (Eq True False) % 3.96/4.11 (Or (Eq (cowlThing icar) False) % 3.96/4.11 (Or (Eq (cowlThing iauto) False) % 3.96/4.11 (Or (Eq (cCar iauto) False) % 3.96/4.11 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.96/4.11 (Or (Eq (xsd_string (skS.0 1 a_1)) True) % 3.96/4.11 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))))))) % 3.96/4.11 Clause #60 (by clausification #[59]): ∀ (a a_1 : Iota), % 3.96/4.11 Or (Eq (cowlThing icar) False) % 3.96/4.11 (Or (Eq (cowlThing iauto) False) % 3.96/4.11 (Or (Eq (cCar iauto) False) % 3.96/4.11 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.96/4.11 (Or (Eq (xsd_string (skS.0 1 a_1)) True) % 3.96/4.11 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))))) % 3.96/4.11 Clause #61 (by forward demodulation #[60, 14]): ∀ (a a_1 : Iota), % 3.96/4.11 Or (Eq True False) % 3.96/4.11 (Or (Eq (cowlThing iauto) False) % 3.96/4.11 (Or (Eq (cCar iauto) False) % 3.96/4.11 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.96/4.11 (Or (Eq (xsd_string (skS.0 1 a_1)) True) % 3.96/4.11 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))))) % 3.96/4.11 Clause #62 (by clausification #[61]): ∀ (a a_1 : Iota), % 3.96/4.11 Or (Eq (cowlThing iauto) False) % 3.96/4.11 (Or (Eq (cCar iauto) False) % 3.96/4.11 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.96/4.11 (Or (Eq (xsd_string (skS.0 1 a_1)) True) % 3.96/4.11 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))))) % 3.96/4.11 Clause #63 (by forward demodulation #[62, 14]): ∀ (a a_1 : Iota), % 3.96/4.11 Or (Eq True False) % 3.96/4.11 (Or (Eq (cCar iauto) False) % 3.96/4.11 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.96/4.11 (Or (Eq (xsd_string (skS.0 1 a_1)) True) % 3.96/4.11 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))))) % 3.96/4.11 Clause #64 (by clausification #[63]): ∀ (a a_1 : Iota), % 3.96/4.11 Or (Eq (cCar iauto) False) % 3.96/4.11 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.96/4.11 (Or (Eq (xsd_string (skS.0 1 a_1)) True) % 3.96/4.11 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))) % 3.96/4.11 Clause #65 (by forward demodulation #[64, 16]): ∀ (a a_1 : Iota), % 3.96/4.11 Or (Eq True False) % 3.96/4.11 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.96/4.11 (Or (Eq (xsd_string (skS.0 1 a_1)) True) % 3.96/4.11 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))) % 3.96/4.11 Clause #66 (by clausification #[65]): ∀ (a a_1 : Iota), % 3.96/4.11 Or (Eq (cowlThing (skS.0 0 a)) False) % 3.96/4.11 (Or (Eq (xsd_string (skS.0 1 a_1)) True) % 3.96/4.11 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))) % 3.96/4.11 Clause #67 (by forward demodulation #[66, 14]): ∀ (a a_1 : Iota), % 3.96/4.11 Or (Eq True False) % 3.96/4.11 (Or (Eq (xsd_string (skS.0 1 a)) True) % 3.96/4.11 (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq (xsd_integer (skS.0 1 a)) False))) % 3.96/4.11 Clause #68 (by clausification #[67]): ∀ (a a_1 : Iota), % 3.96/4.11 Or (Eq (xsd_string (skS.0 1 a)) True) (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq (xsd_integer (skS.0 1 a)) False)) % 3.96/4.11 Clause #70 (by clausification #[56]): ∀ (a : Iota), Eq (xsd_integer (skS.0 1 a)) True % 3.96/4.11 Clause #71 (by backward demodulation #[70, 68]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 1 a)) True) (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq True False)) % 3.96/4.11 Clause #72 (by clausification #[71]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 1 a)) True) (Eq (cowlNothing (skS.0 0 a_1)) True) % 3.96/4.11 Clause #74 (by superposition #[72, 15]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 1 a)) True) (Eq True False) % 3.96/4.11 Clause #75 (by clausification #[74]): ∀ (a : Iota), Eq (xsd_string (skS.0 1 a)) True % 3.96/4.11 Clause #76 (by superposition #[75, 25]): ∀ (a : Iota), Or (Eq True False) (Eq (xsd_integer (skS.0 1 a)) False) % 3.96/4.11 Clause #77 (by clausification #[76]): ∀ (a : Iota), Eq (xsd_integer (skS.0 1 a)) False % 3.96/4.11 Clause #78 (by superposition #[77, 70]): Eq False True % 3.96/4.11 Clause #79 (by clausification #[78]): False % 3.96/4.11 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------