%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KRS130+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n018.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 07:52:40 PM UTC 2025 % Result : Theorem 3.88s 4.05s % Output : Proof 3.90s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : KRS130+1 : TPTP v9.2.0. Released v3.1.0. % 0.04/0.13 % Command : duper %s % 0.13/0.34 % Computer : n018.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 10:18:38 EDT 2025 % 0.13/0.34 % CPUTime : % 3.88/4.05 SZS status Theorem for theBenchmark.p % 3.88/4.05 SZS output start Proof for theBenchmark.p % 3.88/4.05 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True % 3.88/4.05 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) True % 3.88/4.05 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), cNothing X → Not (Exists fun Y => rp X Y)) True % 3.88/4.05 Clause #3 (by assumption #[]): Eq (∀ (X : Iota), cNothing X → Exists fun Y0 => rp X Y0) True % 3.88/4.05 Clause #4 (by assumption #[]): Eq % 3.88/4.05 (Not % 3.88/4.05 (And % 3.88/4.05 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 3.88/4.05 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 3.88/4.05 (∀ (X : Iota), Iff (cNothing X) (cowlNothing X)))) % 3.88/4.05 True % 3.88/4.05 Clause #5 (by clausification #[1]): ∀ (a : Iota), Eq (Iff (xsd_string a) (Not (xsd_integer a))) True % 3.88/4.05 Clause #6 (by clausification #[5]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (Not (xsd_integer a)) False) % 3.88/4.05 Clause #7 (by clausification #[5]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (Not (xsd_integer a)) True) % 3.88/4.05 Clause #8 (by clausification #[6]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (xsd_integer a) True) % 3.88/4.05 Clause #9 (by clausification #[7]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (xsd_integer a) False) % 3.88/4.05 Clause #12 (by clausification #[0]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True % 3.88/4.05 Clause #13 (by clausification #[12]): ∀ (a : Iota), Eq (Not (cowlNothing a)) True % 3.88/4.05 Clause #14 (by clausification #[12]): ∀ (a : Iota), Eq (cowlThing a) True % 3.88/4.05 Clause #15 (by clausification #[13]): ∀ (a : Iota), Eq (cowlNothing a) False % 3.88/4.05 Clause #16 (by betaEtaReduce #[2]): Eq (∀ (X : Iota), cNothing X → Not (Exists (rp X))) True % 3.88/4.05 Clause #17 (by clausification #[16]): ∀ (a : Iota), Eq (cNothing a → Not (Exists (rp a))) True % 3.88/4.05 Clause #18 (by clausification #[17]): ∀ (a : Iota), Or (Eq (cNothing a) False) (Eq (Not (Exists (rp a))) True) % 3.88/4.05 Clause #19 (by clausification #[18]): ∀ (a : Iota), Or (Eq (cNothing a) False) (Eq (Exists (rp a)) False) % 3.88/4.05 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), Or (Eq (cNothing a) False) (Eq (rp a a_1) False) % 3.88/4.05 Clause #21 (by betaEtaReduce #[3]): Eq (∀ (X : Iota), cNothing X → Exists (rp X)) True % 3.88/4.05 Clause #22 (by clausification #[21]): ∀ (a : Iota), Eq (cNothing a → Exists (rp a)) True % 3.88/4.05 Clause #23 (by clausification #[22]): ∀ (a : Iota), Or (Eq (cNothing a) False) (Eq (Exists (rp a)) True) % 3.88/4.05 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota), Or (Eq (cNothing a) False) (Eq (rp a (skS.0 0 a a_1)) True) % 3.88/4.05 Clause #25 (by clausification #[4]): Eq % 3.88/4.05 (And % 3.88/4.05 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 3.88/4.05 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 3.88/4.05 (∀ (X : Iota), Iff (cNothing X) (cowlNothing X))) % 3.88/4.05 False % 3.88/4.05 Clause #26 (by clausification #[25]): Or % 3.88/4.05 (Eq % 3.88/4.05 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 3.88/4.05 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 3.88/4.05 False) % 3.88/4.05 (Eq (∀ (X : Iota), Iff (cNothing X) (cowlNothing X)) False) % 3.88/4.05 Clause #27 (by clausification #[26]): Or (Eq (∀ (X : Iota), Iff (cNothing X) (cowlNothing X)) False) % 3.88/4.05 (Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False) % 3.88/4.05 (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)) % 3.88/4.05 Clause #28 (by clausification #[27]): ∀ (a : Iota), % 3.88/4.05 Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False) % 3.88/4.05 (Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False) % 3.88/4.05 (Eq (Not (Iff (cNothing (skS.0 1 a)) (cowlNothing (skS.0 1 a)))) True)) % 3.88/4.05 Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota), % 3.88/4.05 Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False) % 3.88/4.05 (Or (Eq (Not (Iff (cNothing (skS.0 1 a)) (cowlNothing (skS.0 1 a)))) True) % 3.88/4.05 (Eq (Not (And (cowlThing (skS.0 2 a_1)) (Not (cowlNothing (skS.0 2 a_1))))) True)) % 3.88/4.05 Clause #30 (by clausification #[29]): ∀ (a a_1 a_2 : Iota), % 3.88/4.05 Or (Eq (Not (Iff (cNothing (skS.0 1 a)) (cowlNothing (skS.0 1 a)))) True) % 3.88/4.05 (Or (Eq (Not (And (cowlThing (skS.0 2 a_1)) (Not (cowlNothing (skS.0 2 a_1))))) True) % 3.90/4.08 (Eq (Not (Iff (xsd_string (skS.0 3 a_2)) (Not (xsd_integer (skS.0 3 a_2))))) True)) % 3.90/4.08 Clause #31 (by clausification #[30]): ∀ (a a_1 a_2 : Iota), % 3.90/4.08 Or (Eq (Not (And (cowlThing (skS.0 2 a)) (Not (cowlNothing (skS.0 2 a))))) True) % 3.90/4.08 (Or (Eq (Not (Iff (xsd_string (skS.0 3 a_1)) (Not (xsd_integer (skS.0 3 a_1))))) True) % 3.90/4.08 (Eq (Iff (cNothing (skS.0 1 a_2)) (cowlNothing (skS.0 1 a_2))) False)) % 3.90/4.08 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 : Iota), % 3.90/4.08 Or (Eq (Not (Iff (xsd_string (skS.0 3 a)) (Not (xsd_integer (skS.0 3 a))))) True) % 3.90/4.08 (Or (Eq (Iff (cNothing (skS.0 1 a_1)) (cowlNothing (skS.0 1 a_1))) False) % 3.90/4.08 (Eq (And (cowlThing (skS.0 2 a_2)) (Not (cowlNothing (skS.0 2 a_2)))) False)) % 3.90/4.08 Clause #33 (by clausification #[32]): ∀ (a a_1 a_2 : Iota), % 3.90/4.08 Or (Eq (Iff (cNothing (skS.0 1 a)) (cowlNothing (skS.0 1 a))) False) % 3.90/4.08 (Or (Eq (And (cowlThing (skS.0 2 a_1)) (Not (cowlNothing (skS.0 2 a_1)))) False) % 3.90/4.08 (Eq (Iff (xsd_string (skS.0 3 a_2)) (Not (xsd_integer (skS.0 3 a_2)))) False)) % 3.90/4.08 Clause #35 (by clausification #[33]): ∀ (a a_1 a_2 : Iota), % 3.90/4.08 Or (Eq (And (cowlThing (skS.0 2 a)) (Not (cowlNothing (skS.0 2 a)))) False) % 3.90/4.08 (Or (Eq (Iff (xsd_string (skS.0 3 a_1)) (Not (xsd_integer (skS.0 3 a_1)))) False) % 3.90/4.08 (Or (Eq (cNothing (skS.0 1 a_2)) True) (Eq (cowlNothing (skS.0 1 a_2)) True))) % 3.90/4.08 Clause #42 (by clausification #[35]): ∀ (a a_1 a_2 : Iota), % 3.90/4.08 Or (Eq (Iff (xsd_string (skS.0 3 a)) (Not (xsd_integer (skS.0 3 a)))) False) % 3.90/4.08 (Or (Eq (cNothing (skS.0 1 a_1)) True) % 3.90/4.08 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) % 3.90/4.08 (Or (Eq (cowlThing (skS.0 2 a_2)) False) (Eq (Not (cowlNothing (skS.0 2 a_2))) False)))) % 3.90/4.08 Clause #43 (by clausification #[42]): ∀ (a a_1 a_2 : Iota), % 3.90/4.08 Or (Eq (cNothing (skS.0 1 a)) True) % 3.90/4.08 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 3.90/4.08 (Or (Eq (cowlThing (skS.0 2 a_1)) False) % 3.90/4.08 (Or (Eq (Not (cowlNothing (skS.0 2 a_1))) False) % 3.90/4.08 (Or (Eq (xsd_string (skS.0 3 a_2)) False) (Eq (Not (xsd_integer (skS.0 3 a_2))) False))))) % 3.90/4.08 Clause #44 (by clausification #[42]): ∀ (a a_1 a_2 : Iota), % 3.90/4.08 Or (Eq (cNothing (skS.0 1 a)) True) % 3.90/4.08 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 3.90/4.08 (Or (Eq (cowlThing (skS.0 2 a_1)) False) % 3.90/4.08 (Or (Eq (Not (cowlNothing (skS.0 2 a_1))) False) % 3.90/4.08 (Or (Eq (xsd_string (skS.0 3 a_2)) True) (Eq (Not (xsd_integer (skS.0 3 a_2))) True))))) % 3.90/4.08 Clause #45 (by clausification #[43]): ∀ (a a_1 a_2 : Iota), % 3.90/4.08 Or (Eq (cNothing (skS.0 1 a)) True) % 3.90/4.08 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 3.90/4.08 (Or (Eq (cowlThing (skS.0 2 a_1)) False) % 3.90/4.08 (Or (Eq (xsd_string (skS.0 3 a_2)) False) % 3.90/4.08 (Or (Eq (Not (xsd_integer (skS.0 3 a_2))) False) (Eq (cowlNothing (skS.0 2 a_1)) True))))) % 3.90/4.08 Clause #46 (by clausification #[45]): ∀ (a a_1 a_2 : Iota), % 3.90/4.08 Or (Eq (cNothing (skS.0 1 a)) True) % 3.90/4.08 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 3.90/4.08 (Or (Eq (cowlThing (skS.0 2 a_1)) False) % 3.90/4.08 (Or (Eq (xsd_string (skS.0 3 a_2)) False) % 3.90/4.08 (Or (Eq (cowlNothing (skS.0 2 a_1)) True) (Eq (xsd_integer (skS.0 3 a_2)) True))))) % 3.90/4.08 Clause #47 (by forward demodulation #[46, 15]): ∀ (a a_1 a_2 : Iota), % 3.90/4.08 Or (Eq (cNothing (skS.0 1 a)) True) % 3.90/4.08 (Or (Eq False True) % 3.90/4.08 (Or (Eq (cowlThing (skS.0 2 a_1)) False) % 3.90/4.08 (Or (Eq (xsd_string (skS.0 3 a_2)) False) % 3.90/4.08 (Or (Eq (cowlNothing (skS.0 2 a_1)) True) (Eq (xsd_integer (skS.0 3 a_2)) True))))) % 3.90/4.08 Clause #48 (by clausification #[47]): ∀ (a a_1 a_2 : Iota), % 3.90/4.08 Or (Eq (cNothing (skS.0 1 a)) True) % 3.90/4.08 (Or (Eq (cowlThing (skS.0 2 a_1)) False) % 3.90/4.08 (Or (Eq (xsd_string (skS.0 3 a_2)) False) % 3.90/4.08 (Or (Eq (cowlNothing (skS.0 2 a_1)) True) (Eq (xsd_integer (skS.0 3 a_2)) True)))) % 3.90/4.08 Clause #49 (by forward demodulation #[48, 15]): ∀ (a a_1 a_2 : Iota), % 3.90/4.08 Or (Eq (cNothing (skS.0 1 a)) True) % 3.90/4.08 (Or (Eq (cowlThing (skS.0 2 a_1)) False) % 3.90/4.08 (Or (Eq (xsd_string (skS.0 3 a_2)) False) (Or (Eq False True) (Eq (xsd_integer (skS.0 3 a_2)) True)))) % 3.90/4.08 Clause #50 (by clausification #[49]): ∀ (a a_1 a_2 : Iota), % 3.90/4.08 Or (Eq (cNothing (skS.0 1 a)) True) % 3.90/4.08 (Or (Eq (cowlThing (skS.0 2 a_1)) False) % 3.90/4.08 (Or (Eq (xsd_string (skS.0 3 a_2)) False) (Eq (xsd_integer (skS.0 3 a_2)) True))) % 3.90/4.10 Clause #51 (by superposition #[50, 14]): ∀ (a a_1 : Iota), % 3.90/4.10 Or (Eq (cNothing (skS.0 1 a)) True) % 3.90/4.10 (Or (Eq (xsd_string (skS.0 3 a_1)) False) (Or (Eq (xsd_integer (skS.0 3 a_1)) True) (Eq False True))) % 3.90/4.10 Clause #52 (by clausification #[51]): ∀ (a a_1 : Iota), % 3.90/4.10 Or (Eq (cNothing (skS.0 1 a)) True) (Or (Eq (xsd_string (skS.0 3 a_1)) False) (Eq (xsd_integer (skS.0 3 a_1)) True)) % 3.90/4.10 Clause #53 (by superposition #[52, 8]): ∀ (a a_1 : Iota), % 3.90/4.10 Or (Eq (cNothing (skS.0 1 a)) True) % 3.90/4.10 (Or (Eq (xsd_integer (skS.0 3 a_1)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 3 a_1)) True))) % 3.90/4.10 Clause #54 (by clausification #[53]): ∀ (a a_1 : Iota), % 3.90/4.10 Or (Eq (cNothing (skS.0 1 a)) True) (Or (Eq (xsd_integer (skS.0 3 a_1)) True) (Eq (xsd_integer (skS.0 3 a_1)) True)) % 3.90/4.10 Clause #55 (by eliminate duplicate literals #[54]): ∀ (a a_1 : Iota), Or (Eq (cNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 3 a_1)) True) % 3.90/4.10 Clause #56 (by superposition #[55, 20]): ∀ (a a_1 a_2 : Iota), Or (Eq (xsd_integer (skS.0 3 a)) True) (Or (Eq True False) (Eq (rp (skS.0 1 a_1) a_2) False)) % 3.90/4.10 Clause #57 (by superposition #[55, 24]): ∀ (a a_1 a_2 : Iota), % 3.90/4.10 Or (Eq (xsd_integer (skS.0 3 a)) True) (Or (Eq True False) (Eq (rp (skS.0 1 a_1) (skS.0 0 (skS.0 1 a_1) a_2)) True)) % 3.90/4.10 Clause #61 (by clausification #[56]): ∀ (a a_1 a_2 : Iota), Or (Eq (xsd_integer (skS.0 3 a)) True) (Eq (rp (skS.0 1 a_1) a_2) False) % 3.90/4.10 Clause #62 (by clausification #[57]): ∀ (a a_1 a_2 : Iota), Or (Eq (xsd_integer (skS.0 3 a)) True) (Eq (rp (skS.0 1 a_1) (skS.0 0 (skS.0 1 a_1) a_2)) True) % 3.90/4.10 Clause #63 (by superposition #[62, 61]): ∀ (a a_1 : Iota), Or (Eq (xsd_integer (skS.0 3 a)) True) (Or (Eq (xsd_integer (skS.0 3 a_1)) True) (Eq True False)) % 3.90/4.10 Clause #64 (by clausification #[63]): ∀ (a a_1 : Iota), Or (Eq (xsd_integer (skS.0 3 a)) True) (Eq (xsd_integer (skS.0 3 a_1)) True) % 3.90/4.10 Clause #65 (by equality factoring #[64]): ∀ (a : Iota), Or (Ne True True) (Eq (xsd_integer (skS.0 3 a)) True) % 3.90/4.10 Clause #66 (by clausification #[65]): ∀ (a : Iota), Or (Eq (xsd_integer (skS.0 3 a)) True) (Or (Eq True False) (Eq True False)) % 3.90/4.10 Clause #68 (by clausification #[66]): ∀ (a : Iota), Or (Eq (xsd_integer (skS.0 3 a)) True) (Eq True False) % 3.90/4.10 Clause #69 (by clausification #[68]): ∀ (a : Iota), Eq (xsd_integer (skS.0 3 a)) True % 3.90/4.10 Clause #70 (by clausification #[44]): ∀ (a a_1 a_2 : Iota), % 3.90/4.10 Or (Eq (cNothing (skS.0 1 a)) True) % 3.90/4.10 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 3.90/4.10 (Or (Eq (cowlThing (skS.0 2 a_1)) False) % 3.90/4.10 (Or (Eq (xsd_string (skS.0 3 a_2)) True) % 3.90/4.10 (Or (Eq (Not (xsd_integer (skS.0 3 a_2))) True) (Eq (cowlNothing (skS.0 2 a_1)) True))))) % 3.90/4.10 Clause #71 (by clausification #[70]): ∀ (a a_1 a_2 : Iota), % 3.90/4.10 Or (Eq (cNothing (skS.0 1 a)) True) % 3.90/4.10 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 3.90/4.10 (Or (Eq (cowlThing (skS.0 2 a_1)) False) % 3.90/4.10 (Or (Eq (xsd_string (skS.0 3 a_2)) True) % 3.90/4.10 (Or (Eq (cowlNothing (skS.0 2 a_1)) True) (Eq (xsd_integer (skS.0 3 a_2)) False))))) % 3.90/4.10 Clause #72 (by forward demodulation #[71, 15]): ∀ (a a_1 a_2 : Iota), % 3.90/4.10 Or (Eq (cNothing (skS.0 1 a)) True) % 3.90/4.10 (Or (Eq False True) % 3.90/4.10 (Or (Eq (cowlThing (skS.0 2 a_1)) False) % 3.90/4.10 (Or (Eq (xsd_string (skS.0 3 a_2)) True) % 3.90/4.10 (Or (Eq (cowlNothing (skS.0 2 a_1)) True) (Eq (xsd_integer (skS.0 3 a_2)) False))))) % 3.90/4.10 Clause #73 (by clausification #[72]): ∀ (a a_1 a_2 : Iota), % 3.90/4.10 Or (Eq (cNothing (skS.0 1 a)) True) % 3.90/4.10 (Or (Eq (cowlThing (skS.0 2 a_1)) False) % 3.90/4.10 (Or (Eq (xsd_string (skS.0 3 a_2)) True) % 3.90/4.10 (Or (Eq (cowlNothing (skS.0 2 a_1)) True) (Eq (xsd_integer (skS.0 3 a_2)) False)))) % 3.90/4.10 Clause #74 (by forward demodulation #[73, 15]): ∀ (a a_1 a_2 : Iota), % 3.90/4.10 Or (Eq (cNothing (skS.0 1 a)) True) % 3.90/4.10 (Or (Eq (cowlThing (skS.0 2 a_1)) False) % 3.90/4.10 (Or (Eq (xsd_string (skS.0 3 a_2)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 3 a_2)) False)))) % 3.90/4.10 Clause #75 (by clausification #[74]): ∀ (a a_1 a_2 : Iota), % 3.90/4.10 Or (Eq (cNothing (skS.0 1 a)) True) % 3.90/4.10 (Or (Eq (cowlThing (skS.0 2 a_1)) False) % 3.90/4.10 (Or (Eq (xsd_string (skS.0 3 a_2)) True) (Eq (xsd_integer (skS.0 3 a_2)) False))) % 3.90/4.12 Clause #76 (by forward demodulation #[75, 69]): ∀ (a a_1 a_2 : Iota), % 3.90/4.12 Or (Eq (cNothing (skS.0 1 a)) True) % 3.90/4.12 (Or (Eq (cowlThing (skS.0 2 a_1)) False) (Or (Eq (xsd_string (skS.0 3 a_2)) True) (Eq True False))) % 3.90/4.12 Clause #77 (by clausification #[76]): ∀ (a a_1 a_2 : Iota), % 3.90/4.12 Or (Eq (cNothing (skS.0 1 a)) True) (Or (Eq (cowlThing (skS.0 2 a_1)) False) (Eq (xsd_string (skS.0 3 a_2)) True)) % 3.90/4.12 Clause #78 (by superposition #[77, 14]): ∀ (a a_1 : Iota), Or (Eq (cNothing (skS.0 1 a)) True) (Or (Eq (xsd_string (skS.0 3 a_1)) True) (Eq False True)) % 3.90/4.12 Clause #79 (by clausification #[78]): ∀ (a a_1 : Iota), Or (Eq (cNothing (skS.0 1 a)) True) (Eq (xsd_string (skS.0 3 a_1)) True) % 3.90/4.12 Clause #81 (by superposition #[79, 24]): ∀ (a a_1 a_2 : Iota), % 3.90/4.12 Or (Eq (xsd_string (skS.0 3 a)) True) (Or (Eq True False) (Eq (rp (skS.0 1 a_1) (skS.0 0 (skS.0 1 a_1) a_2)) True)) % 3.90/4.12 Clause #82 (by superposition #[79, 9]): ∀ (a a_1 : Iota), Or (Eq (cNothing (skS.0 1 a)) True) (Or (Eq True False) (Eq (xsd_integer (skS.0 3 a_1)) False)) % 3.90/4.12 Clause #83 (by clausification #[82]): ∀ (a a_1 : Iota), Or (Eq (cNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 3 a_1)) False) % 3.90/4.12 Clause #84 (by superposition #[83, 69]): ∀ (a : Iota), Or (Eq (cNothing (skS.0 1 a)) True) (Eq False True) % 3.90/4.12 Clause #85 (by clausification #[84]): ∀ (a : Iota), Eq (cNothing (skS.0 1 a)) True % 3.90/4.12 Clause #86 (by superposition #[85, 20]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (rp (skS.0 1 a) a_1) False) % 3.90/4.12 Clause #88 (by clausification #[86]): ∀ (a a_1 : Iota), Eq (rp (skS.0 1 a) a_1) False % 3.90/4.12 Clause #90 (by clausification #[81]): ∀ (a a_1 a_2 : Iota), Or (Eq (xsd_string (skS.0 3 a)) True) (Eq (rp (skS.0 1 a_1) (skS.0 0 (skS.0 1 a_1) a_2)) True) % 3.90/4.12 Clause #92 (by superposition #[90, 88]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 3 a)) True) (Eq True False) % 3.90/4.12 Clause #93 (by clausification #[92]): ∀ (a : Iota), Eq (xsd_string (skS.0 3 a)) True % 3.90/4.12 Clause #94 (by superposition #[93, 9]): ∀ (a : Iota), Or (Eq True False) (Eq (xsd_integer (skS.0 3 a)) False) % 3.90/4.12 Clause #95 (by clausification #[94]): ∀ (a : Iota), Eq (xsd_integer (skS.0 3 a)) False % 3.90/4.12 Clause #96 (by superposition #[95, 69]): Eq False True % 3.90/4.12 Clause #97 (by clausification #[96]): False % 3.90/4.12 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------