%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KRS136+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n025.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 3.54s 3.71s % Output : Proof 3.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : KRS136+1 : TPTP v9.2.0. Released v3.1.0. % 0.08/0.14 % Command : duper %s % 0.14/0.35 % Computer : n025.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Thu Oct 2 10:14:23 EDT 2025 % 0.14/0.35 % CPUTime : % 3.54/3.71 SZS status Theorem for theBenchmark.p % 3.54/3.71 SZS output start Proof for theBenchmark.p % 3.54/3.71 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True % 3.54/3.71 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) True % 3.54/3.71 Clause #2 (by assumption #[]): Eq % 3.54/3.71 (Not % 3.54/3.71 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 3.54/3.71 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))) % 3.54/3.71 True % 3.54/3.71 Clause #3 (by clausification #[1]): ∀ (a : Iota), Eq (Iff (xsd_string a) (Not (xsd_integer a))) True % 3.54/3.71 Clause #4 (by clausification #[3]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (Not (xsd_integer a)) False) % 3.54/3.71 Clause #5 (by clausification #[3]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (Not (xsd_integer a)) True) % 3.54/3.71 Clause #6 (by clausification #[4]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (xsd_integer a) True) % 3.54/3.71 Clause #7 (by clausification #[5]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (xsd_integer a) False) % 3.54/3.71 Clause #9 (by clausification #[0]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True % 3.54/3.71 Clause #10 (by clausification #[9]): ∀ (a : Iota), Eq (Not (cowlNothing a)) True % 3.54/3.71 Clause #11 (by clausification #[9]): ∀ (a : Iota), Eq (cowlThing a) True % 3.54/3.71 Clause #12 (by clausification #[10]): ∀ (a : Iota), Eq (cowlNothing a) False % 3.54/3.71 Clause #14 (by clausification #[2]): Eq % 3.54/3.71 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 3.54/3.71 False % 3.54/3.71 Clause #15 (by clausification #[14]): Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False) % 3.54/3.71 (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False) % 3.54/3.71 Clause #16 (by clausification #[15]): ∀ (a : Iota), % 3.54/3.71 Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False) % 3.54/3.71 (Eq (Not (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a))))) True) % 3.54/3.71 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), % 3.54/3.71 Or (Eq (Not (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a))))) True) % 3.54/3.71 (Eq (Not (Iff (xsd_string (skS.0 1 a_1)) (Not (xsd_integer (skS.0 1 a_1))))) True) % 3.54/3.71 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), % 3.54/3.71 Or (Eq (Not (Iff (xsd_string (skS.0 1 a)) (Not (xsd_integer (skS.0 1 a))))) True) % 3.54/3.71 (Eq (And (cowlThing (skS.0 0 a_1)) (Not (cowlNothing (skS.0 0 a_1)))) False) % 3.54/3.71 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), % 3.54/3.71 Or (Eq (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a)))) False) % 3.54/3.71 (Eq (Iff (xsd_string (skS.0 1 a_1)) (Not (xsd_integer (skS.0 1 a_1)))) False) % 3.54/3.71 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), % 3.54/3.71 Or (Eq (Iff (xsd_string (skS.0 1 a)) (Not (xsd_integer (skS.0 1 a)))) False) % 3.54/3.71 (Or (Eq (cowlThing (skS.0 0 a_1)) False) (Eq (Not (cowlNothing (skS.0 0 a_1))) False)) % 3.54/3.71 Clause #21 (by clausification #[20]): ∀ (a a_1 : Iota), % 3.54/3.71 Or (Eq (cowlThing (skS.0 0 a)) False) % 3.54/3.71 (Or (Eq (Not (cowlNothing (skS.0 0 a))) False) % 3.54/3.71 (Or (Eq (xsd_string (skS.0 1 a_1)) False) (Eq (Not (xsd_integer (skS.0 1 a_1))) False))) % 3.54/3.71 Clause #22 (by clausification #[20]): ∀ (a a_1 : Iota), % 3.54/3.71 Or (Eq (cowlThing (skS.0 0 a)) False) % 3.54/3.71 (Or (Eq (Not (cowlNothing (skS.0 0 a))) False) % 3.54/3.71 (Or (Eq (xsd_string (skS.0 1 a_1)) True) (Eq (Not (xsd_integer (skS.0 1 a_1))) True))) % 3.54/3.71 Clause #23 (by clausification #[21]): ∀ (a a_1 : Iota), % 3.54/3.71 Or (Eq (cowlThing (skS.0 0 a)) False) % 3.54/3.71 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 3.54/3.71 (Or (Eq (Not (xsd_integer (skS.0 1 a_1))) False) (Eq (cowlNothing (skS.0 0 a)) True))) % 3.54/3.71 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota), % 3.54/3.71 Or (Eq (cowlThing (skS.0 0 a)) False) % 3.54/3.71 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 3.54/3.71 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))) % 3.54/3.71 Clause #25 (by forward demodulation #[24, 12]): ∀ (a a_1 : Iota), % 3.54/3.71 Or (Eq (cowlThing (skS.0 0 a)) False) % 3.54/3.71 (Or (Eq (xsd_string (skS.0 1 a_1)) False) (Or (Eq False True) (Eq (xsd_integer (skS.0 1 a_1)) True))) % 3.54/3.71 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), % 3.54/3.71 Or (Eq (cowlThing (skS.0 0 a)) False) (Or (Eq (xsd_string (skS.0 1 a_1)) False) (Eq (xsd_integer (skS.0 1 a_1)) True)) % 3.57/3.72 Clause #27 (by superposition #[26, 11]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 1 a)) False) (Or (Eq (xsd_integer (skS.0 1 a)) True) (Eq False True)) % 3.57/3.72 Clause #28 (by clausification #[27]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 1 a)) False) (Eq (xsd_integer (skS.0 1 a)) True) % 3.57/3.72 Clause #29 (by superposition #[28, 6]): ∀ (a : Iota), Or (Eq (xsd_integer (skS.0 1 a)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 1 a)) True)) % 3.57/3.72 Clause #30 (by clausification #[29]): ∀ (a : Iota), Or (Eq (xsd_integer (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 1 a)) True) % 3.57/3.72 Clause #31 (by eliminate duplicate literals #[30]): ∀ (a : Iota), Eq (xsd_integer (skS.0 1 a)) True % 3.57/3.72 Clause #33 (by clausification #[22]): ∀ (a a_1 : Iota), % 3.57/3.72 Or (Eq (cowlThing (skS.0 0 a)) False) % 3.57/3.72 (Or (Eq (xsd_string (skS.0 1 a_1)) True) % 3.57/3.72 (Or (Eq (Not (xsd_integer (skS.0 1 a_1))) True) (Eq (cowlNothing (skS.0 0 a)) True))) % 3.57/3.72 Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota), % 3.57/3.72 Or (Eq (cowlThing (skS.0 0 a)) False) % 3.57/3.72 (Or (Eq (xsd_string (skS.0 1 a_1)) True) % 3.57/3.72 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))) % 3.57/3.72 Clause #35 (by forward demodulation #[34, 12]): ∀ (a a_1 : Iota), % 3.57/3.72 Or (Eq (cowlThing (skS.0 0 a)) False) % 3.57/3.72 (Or (Eq (xsd_string (skS.0 1 a_1)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 1 a_1)) False))) % 3.57/3.72 Clause #36 (by clausification #[35]): ∀ (a a_1 : Iota), % 3.57/3.72 Or (Eq (cowlThing (skS.0 0 a)) False) (Or (Eq (xsd_string (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)) % 3.57/3.72 Clause #37 (by forward demodulation #[36, 31]): ∀ (a a_1 : Iota), Or (Eq (cowlThing (skS.0 0 a)) False) (Or (Eq (xsd_string (skS.0 1 a_1)) True) (Eq True False)) % 3.57/3.72 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota), Or (Eq (cowlThing (skS.0 0 a)) False) (Eq (xsd_string (skS.0 1 a_1)) True) % 3.57/3.72 Clause #39 (by superposition #[38, 11]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 1 a)) True) (Eq False True) % 3.57/3.72 Clause #40 (by clausification #[39]): ∀ (a : Iota), Eq (xsd_string (skS.0 1 a)) True % 3.57/3.72 Clause #41 (by superposition #[40, 7]): ∀ (a : Iota), Or (Eq True False) (Eq (xsd_integer (skS.0 1 a)) False) % 3.57/3.72 Clause #42 (by clausification #[41]): ∀ (a : Iota), Eq (xsd_integer (skS.0 1 a)) False % 3.57/3.72 Clause #43 (by superposition #[42, 31]): Eq False True % 3.57/3.72 Clause #44 (by clausification #[43]): False % 3.57/3.72 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------