%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KRS152+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n020.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 07:52:43 PM UTC 2025 % Result : Theorem 3.80s 3.99s % Output : Proof 3.90s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : KRS152+1 : TPTP v9.2.0. Released v3.1.0. % 0.03/0.14 % Command : duper %s % 0.13/0.35 % Computer : n020.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Thu Oct 2 10:22:23 EDT 2025 % 0.13/0.35 % CPUTime : % 3.80/3.99 SZS status Theorem for theBenchmark.p % 3.80/3.99 SZS output start Proof for theBenchmark.p % 3.80/3.99 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True % 3.80/3.99 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) True % 3.80/3.99 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Iff (cC10 X) (And (cC2 X) (cC4 X))) True % 3.80/3.99 Clause #3 (by assumption #[]): Eq (∀ (X : Iota), Iff (cC12 X) (Exists fun Y => And (rR1 X Y) (cC10 Y))) True % 3.80/3.99 Clause #11 (by assumption #[]): Eq (rR1 iV21080 iV21081) True % 3.80/3.99 Clause #14 (by assumption #[]): Eq (cC2 iV21081) True % 3.80/3.99 Clause #15 (by assumption #[]): Eq (cC4 iV21081) True % 3.80/3.99 Clause #16 (by assumption #[]): Eq % 3.80/3.99 (Not % 3.80/3.99 (And % 3.80/3.99 (And % 3.80/3.99 (And % 3.80/3.99 (And % 3.80/3.99 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 3.80/3.99 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 3.80/3.99 (cowlThing iV21080)) % 3.80/3.99 (cC12 iV21080)) % 3.80/3.99 (cC10 iV21081)) % 3.80/3.99 (cowlThing iV21081))) % 3.80/3.99 True % 3.80/3.99 Clause #17 (by clausification #[0]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True % 3.80/3.99 Clause #18 (by clausification #[17]): ∀ (a : Iota), Eq (Not (cowlNothing a)) True % 3.80/3.99 Clause #19 (by clausification #[17]): ∀ (a : Iota), Eq (cowlThing a) True % 3.80/3.99 Clause #20 (by clausification #[18]): ∀ (a : Iota), Eq (cowlNothing a) False % 3.80/3.99 Clause #27 (by clausification #[1]): ∀ (a : Iota), Eq (Iff (xsd_string a) (Not (xsd_integer a))) True % 3.80/3.99 Clause #28 (by clausification #[27]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (Not (xsd_integer a)) False) % 3.80/3.99 Clause #29 (by clausification #[27]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (Not (xsd_integer a)) True) % 3.80/3.99 Clause #30 (by clausification #[28]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (xsd_integer a) True) % 3.80/3.99 Clause #31 (by clausification #[29]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (xsd_integer a) False) % 3.80/3.99 Clause #32 (by clausification #[2]): ∀ (a : Iota), Eq (Iff (cC10 a) (And (cC2 a) (cC4 a))) True % 3.80/3.99 Clause #33 (by clausification #[32]): ∀ (a : Iota), Or (Eq (cC10 a) True) (Eq (And (cC2 a) (cC4 a)) False) % 3.80/3.99 Clause #35 (by clausification #[33]): ∀ (a : Iota), Or (Eq (cC10 a) True) (Or (Eq (cC2 a) False) (Eq (cC4 a) False)) % 3.80/3.99 Clause #36 (by superposition #[35, 14]): Or (Eq (cC10 iV21081) True) (Or (Eq (cC4 iV21081) False) (Eq False True)) % 3.80/3.99 Clause #37 (by clausification #[36]): Or (Eq (cC10 iV21081) True) (Eq (cC4 iV21081) False) % 3.80/3.99 Clause #38 (by superposition #[37, 15]): Or (Eq (cC10 iV21081) True) (Eq False True) % 3.80/3.99 Clause #39 (by clausification #[38]): Eq (cC10 iV21081) True % 3.80/3.99 Clause #41 (by clausification #[3]): ∀ (a : Iota), Eq (Iff (cC12 a) (Exists fun Y => And (rR1 a Y) (cC10 Y))) True % 3.80/3.99 Clause #42 (by clausification #[41]): ∀ (a : Iota), Or (Eq (cC12 a) True) (Eq (Exists fun Y => And (rR1 a Y) (cC10 Y)) False) % 3.80/3.99 Clause #44 (by clausification #[42]): ∀ (a a_1 : Iota), Or (Eq (cC12 a) True) (Eq (And (rR1 a a_1) (cC10 a_1)) False) % 3.80/3.99 Clause #45 (by clausification #[44]): ∀ (a a_1 : Iota), Or (Eq (cC12 a) True) (Or (Eq (rR1 a a_1) False) (Eq (cC10 a_1) False)) % 3.80/3.99 Clause #46 (by superposition #[45, 11]): Or (Eq (cC12 iV21080) True) (Or (Eq (cC10 iV21081) False) (Eq False True)) % 3.80/3.99 Clause #47 (by clausification #[46]): Or (Eq (cC12 iV21080) True) (Eq (cC10 iV21081) False) % 3.80/3.99 Clause #48 (by forward demodulation #[47, 39]): Or (Eq (cC12 iV21080) True) (Eq True False) % 3.80/3.99 Clause #49 (by clausification #[48]): Eq (cC12 iV21080) True % 3.80/3.99 Clause #86 (by clausification #[16]): Eq % 3.80/3.99 (And % 3.80/3.99 (And % 3.80/3.99 (And % 3.80/3.99 (And % 3.80/3.99 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 3.80/3.99 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 3.80/3.99 (cowlThing iV21080)) % 3.80/3.99 (cC12 iV21080)) % 3.80/3.99 (cC10 iV21081)) % 3.80/3.99 (cowlThing iV21081)) % 3.80/3.99 False % 3.80/3.99 Clause #87 (by clausification #[86]): Or % 3.80/3.99 (Eq % 3.80/3.99 (And % 3.80/3.99 (And % 3.80/3.99 (And % 3.80/3.99 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 3.80/3.99 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 3.80/3.99 (cowlThing iV21080)) % 3.80/3.99 (cC12 iV21080)) % 3.80/3.99 (cC10 iV21081)) % 3.80/3.99 False) % 3.80/3.99 (Eq (cowlThing iV21081) False) % 3.80/4.02 Clause #88 (by clausification #[87]): Or (Eq (cowlThing iV21081) False) % 3.80/4.02 (Or % 3.80/4.02 (Eq % 3.80/4.02 (And % 3.80/4.02 (And % 3.80/4.02 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 3.80/4.02 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 3.80/4.02 (cowlThing iV21080)) % 3.80/4.02 (cC12 iV21080)) % 3.80/4.02 False) % 3.80/4.02 (Eq (cC10 iV21081) False)) % 3.80/4.02 Clause #89 (by clausification #[88]): Or (Eq (cowlThing iV21081) False) % 3.80/4.02 (Or (Eq (cC10 iV21081) False) % 3.80/4.02 (Or % 3.80/4.02 (Eq % 3.80/4.02 (And % 3.80/4.02 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 3.80/4.02 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 3.80/4.02 (cowlThing iV21080)) % 3.80/4.02 False) % 3.80/4.02 (Eq (cC12 iV21080) False))) % 3.80/4.02 Clause #90 (by clausification #[89]): Or (Eq (cowlThing iV21081) False) % 3.80/4.02 (Or (Eq (cC10 iV21081) False) % 3.80/4.02 (Or (Eq (cC12 iV21080) False) % 3.80/4.02 (Or % 3.80/4.02 (Eq % 3.80/4.02 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 3.80/4.02 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 3.80/4.02 False) % 3.80/4.02 (Eq (cowlThing iV21080) False)))) % 3.80/4.02 Clause #91 (by clausification #[90]): Or (Eq (cowlThing iV21081) False) % 3.80/4.02 (Or (Eq (cC10 iV21081) False) % 3.80/4.02 (Or (Eq (cC12 iV21080) False) % 3.80/4.02 (Or (Eq (cowlThing iV21080) False) % 3.80/4.02 (Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False) % 3.80/4.02 (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False))))) % 3.80/4.02 Clause #92 (by clausification #[91]): ∀ (a : Iota), % 3.80/4.02 Or (Eq (cowlThing iV21081) False) % 3.80/4.02 (Or (Eq (cC10 iV21081) False) % 3.80/4.02 (Or (Eq (cC12 iV21080) False) % 3.80/4.02 (Or (Eq (cowlThing iV21080) False) % 3.80/4.02 (Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False) % 3.80/4.02 (Eq (Not (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a))))) True))))) % 3.80/4.02 Clause #93 (by clausification #[92]): ∀ (a a_1 : Iota), % 3.80/4.02 Or (Eq (cowlThing iV21081) False) % 3.80/4.02 (Or (Eq (cC10 iV21081) False) % 3.80/4.02 (Or (Eq (cC12 iV21080) False) % 3.80/4.02 (Or (Eq (cowlThing iV21080) False) % 3.80/4.02 (Or (Eq (Not (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a))))) True) % 3.80/4.02 (Eq (Not (Iff (xsd_string (skS.0 1 a_1)) (Not (xsd_integer (skS.0 1 a_1))))) True))))) % 3.80/4.02 Clause #94 (by clausification #[93]): ∀ (a a_1 : Iota), % 3.80/4.02 Or (Eq (cowlThing iV21081) False) % 3.80/4.02 (Or (Eq (cC10 iV21081) False) % 3.80/4.02 (Or (Eq (cC12 iV21080) False) % 3.80/4.02 (Or (Eq (cowlThing iV21080) False) % 3.80/4.02 (Or (Eq (Not (Iff (xsd_string (skS.0 1 a)) (Not (xsd_integer (skS.0 1 a))))) True) % 3.80/4.02 (Eq (And (cowlThing (skS.0 0 a_1)) (Not (cowlNothing (skS.0 0 a_1)))) False))))) % 3.80/4.02 Clause #95 (by clausification #[94]): ∀ (a a_1 : Iota), % 3.80/4.02 Or (Eq (cowlThing iV21081) False) % 3.80/4.02 (Or (Eq (cC10 iV21081) False) % 3.80/4.02 (Or (Eq (cC12 iV21080) False) % 3.80/4.02 (Or (Eq (cowlThing iV21080) False) % 3.80/4.02 (Or (Eq (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a)))) False) % 3.80/4.02 (Eq (Iff (xsd_string (skS.0 1 a_1)) (Not (xsd_integer (skS.0 1 a_1)))) False))))) % 3.80/4.02 Clause #96 (by clausification #[95]): ∀ (a a_1 : Iota), % 3.80/4.02 Or (Eq (cowlThing iV21081) False) % 3.80/4.02 (Or (Eq (cC10 iV21081) False) % 3.80/4.02 (Or (Eq (cC12 iV21080) False) % 3.80/4.02 (Or (Eq (cowlThing iV21080) False) % 3.80/4.02 (Or (Eq (Iff (xsd_string (skS.0 1 a)) (Not (xsd_integer (skS.0 1 a)))) False) % 3.80/4.02 (Or (Eq (cowlThing (skS.0 0 a_1)) False) (Eq (Not (cowlNothing (skS.0 0 a_1))) False)))))) % 3.80/4.02 Clause #97 (by clausification #[96]): ∀ (a a_1 : Iota), % 3.80/4.02 Or (Eq (cowlThing iV21081) False) % 3.80/4.02 (Or (Eq (cC10 iV21081) False) % 3.80/4.02 (Or (Eq (cC12 iV21080) False) % 3.80/4.02 (Or (Eq (cowlThing iV21080) False) % 3.80/4.02 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.80/4.02 (Or (Eq (Not (cowlNothing (skS.0 0 a))) False) % 3.80/4.02 (Or (Eq (xsd_string (skS.0 1 a_1)) False) (Eq (Not (xsd_integer (skS.0 1 a_1))) False))))))) % 3.80/4.02 Clause #98 (by clausification #[96]): ∀ (a a_1 : Iota), % 3.80/4.02 Or (Eq (cowlThing iV21081) False) % 3.80/4.02 (Or (Eq (cC10 iV21081) False) % 3.80/4.02 (Or (Eq (cC12 iV21080) False) % 3.80/4.02 (Or (Eq (cowlThing iV21080) False) % 3.80/4.02 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.80/4.02 (Or (Eq (Not (cowlNothing (skS.0 0 a))) False) % 3.87/4.04 (Or (Eq (xsd_string (skS.0 1 a_1)) True) (Eq (Not (xsd_integer (skS.0 1 a_1))) True))))))) % 3.87/4.04 Clause #99 (by clausification #[97]): ∀ (a a_1 : Iota), % 3.87/4.04 Or (Eq (cowlThing iV21081) False) % 3.87/4.04 (Or (Eq (cC10 iV21081) False) % 3.87/4.04 (Or (Eq (cC12 iV21080) False) % 3.87/4.04 (Or (Eq (cowlThing iV21080) False) % 3.87/4.04 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.87/4.04 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 3.87/4.04 (Or (Eq (Not (xsd_integer (skS.0 1 a_1))) False) (Eq (cowlNothing (skS.0 0 a)) True))))))) % 3.87/4.04 Clause #100 (by clausification #[99]): ∀ (a a_1 : Iota), % 3.87/4.04 Or (Eq (cowlThing iV21081) False) % 3.87/4.04 (Or (Eq (cC10 iV21081) False) % 3.87/4.04 (Or (Eq (cC12 iV21080) False) % 3.87/4.04 (Or (Eq (cowlThing iV21080) False) % 3.87/4.04 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.87/4.04 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 3.87/4.04 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))))))) % 3.87/4.04 Clause #101 (by forward demodulation #[100, 19]): ∀ (a a_1 : Iota), % 3.87/4.04 Or (Eq True False) % 3.87/4.04 (Or (Eq (cC10 iV21081) False) % 3.87/4.04 (Or (Eq (cC12 iV21080) False) % 3.87/4.04 (Or (Eq (cowlThing iV21080) False) % 3.87/4.04 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.87/4.04 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 3.87/4.04 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))))))) % 3.87/4.04 Clause #102 (by clausification #[101]): ∀ (a a_1 : Iota), % 3.87/4.04 Or (Eq (cC10 iV21081) False) % 3.87/4.04 (Or (Eq (cC12 iV21080) False) % 3.87/4.04 (Or (Eq (cowlThing iV21080) False) % 3.87/4.04 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.87/4.04 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 3.87/4.04 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))))) % 3.87/4.04 Clause #103 (by forward demodulation #[102, 39]): ∀ (a a_1 : Iota), % 3.87/4.04 Or (Eq True False) % 3.87/4.04 (Or (Eq (cC12 iV21080) False) % 3.87/4.04 (Or (Eq (cowlThing iV21080) False) % 3.87/4.04 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.87/4.04 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 3.87/4.04 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))))) % 3.87/4.04 Clause #104 (by clausification #[103]): ∀ (a a_1 : Iota), % 3.87/4.04 Or (Eq (cC12 iV21080) False) % 3.87/4.04 (Or (Eq (cowlThing iV21080) False) % 3.87/4.04 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.87/4.04 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 3.87/4.04 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))))) % 3.87/4.04 Clause #105 (by forward demodulation #[104, 49]): ∀ (a a_1 : Iota), % 3.87/4.04 Or (Eq True False) % 3.87/4.04 (Or (Eq (cowlThing iV21080) False) % 3.87/4.04 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.87/4.04 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 3.87/4.04 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))))) % 3.87/4.04 Clause #106 (by clausification #[105]): ∀ (a a_1 : Iota), % 3.87/4.04 Or (Eq (cowlThing iV21080) False) % 3.87/4.04 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.87/4.04 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 3.87/4.04 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))) % 3.87/4.04 Clause #107 (by forward demodulation #[106, 19]): ∀ (a a_1 : Iota), % 3.87/4.04 Or (Eq True False) % 3.87/4.04 (Or (Eq (cowlThing (skS.0 0 a)) False) % 3.87/4.04 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 3.87/4.04 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))) % 3.87/4.04 Clause #108 (by clausification #[107]): ∀ (a a_1 : Iota), % 3.87/4.04 Or (Eq (cowlThing (skS.0 0 a)) False) % 3.87/4.04 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 3.87/4.04 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))) % 3.87/4.04 Clause #109 (by forward demodulation #[108, 19]): ∀ (a a_1 : Iota), % 3.87/4.04 Or (Eq True False) % 3.87/4.04 (Or (Eq (xsd_string (skS.0 1 a)) False) % 3.87/4.04 (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq (xsd_integer (skS.0 1 a)) True))) % 3.87/4.04 Clause #110 (by clausification #[109]): ∀ (a a_1 : Iota), % 3.87/4.04 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)) % 3.87/4.04 Clause #133 (by clausification #[98]): ∀ (a a_1 : Iota), % 3.87/4.04 Or (Eq (cowlThing iV21081) False) % 3.87/4.04 (Or (Eq (cC10 iV21081) False) % 3.87/4.04 (Or (Eq (cC12 iV21080) False) % 3.87/4.04 (Or (Eq (cowlThing iV21080) 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)) True) % 3.90/4.06 (Or (Eq (Not (xsd_integer (skS.0 1 a_1))) True) (Eq (cowlNothing (skS.0 0 a)) True))))))) % 3.90/4.06 Clause #134 (by clausification #[133]): ∀ (a a_1 : Iota), % 3.90/4.06 Or (Eq (cowlThing iV21081) False) % 3.90/4.06 (Or (Eq (cC10 iV21081) False) % 3.90/4.06 (Or (Eq (cC12 iV21080) False) % 3.90/4.06 (Or (Eq (cowlThing iV21080) 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)) True) % 3.90/4.06 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))))))) % 3.90/4.06 Clause #135 (by forward demodulation #[134, 19]): ∀ (a a_1 : Iota), % 3.90/4.06 Or (Eq True False) % 3.90/4.06 (Or (Eq (cC10 iV21081) False) % 3.90/4.06 (Or (Eq (cC12 iV21080) False) % 3.90/4.06 (Or (Eq (cowlThing iV21080) 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)) True) % 3.90/4.06 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))))))) % 3.90/4.06 Clause #136 (by clausification #[135]): ∀ (a a_1 : Iota), % 3.90/4.06 Or (Eq (cC10 iV21081) False) % 3.90/4.06 (Or (Eq (cC12 iV21080) False) % 3.90/4.06 (Or (Eq (cowlThing iV21080) 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)) True) % 3.90/4.06 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))))) % 3.90/4.06 Clause #137 (by forward demodulation #[136, 39]): ∀ (a a_1 : Iota), % 3.90/4.06 Or (Eq True False) % 3.90/4.06 (Or (Eq (cC12 iV21080) False) % 3.90/4.06 (Or (Eq (cowlThing iV21080) 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)) True) % 3.90/4.06 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))))) % 3.90/4.06 Clause #138 (by clausification #[137]): ∀ (a a_1 : Iota), % 3.90/4.06 Or (Eq (cC12 iV21080) False) % 3.90/4.06 (Or (Eq (cowlThing iV21080) 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)) True) % 3.90/4.06 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))))) % 3.90/4.06 Clause #139 (by forward demodulation #[138, 49]): ∀ (a a_1 : Iota), % 3.90/4.06 Or (Eq True False) % 3.90/4.06 (Or (Eq (cowlThing iV21080) 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)) True) % 3.90/4.06 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))))) % 3.90/4.06 Clause #140 (by clausification #[139]): ∀ (a a_1 : Iota), % 3.90/4.06 Or (Eq (cowlThing iV21080) 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)) True) % 3.90/4.06 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))) % 3.90/4.06 Clause #141 (by forward demodulation #[140, 19]): ∀ (a a_1 : Iota), % 3.90/4.06 Or (Eq True 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)) True) % 3.90/4.06 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))) % 3.90/4.06 Clause #142 (by clausification #[141]): ∀ (a a_1 : Iota), % 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)) True) % 3.90/4.06 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))) % 3.90/4.06 Clause #143 (by forward demodulation #[142, 19]): ∀ (a a_1 : Iota), % 3.90/4.06 Or (Eq True False) % 3.90/4.06 (Or (Eq (xsd_string (skS.0 1 a)) True) % 3.90/4.06 (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq (xsd_integer (skS.0 1 a)) False))) % 3.90/4.06 Clause #144 (by clausification #[143]): ∀ (a a_1 : Iota), % 3.90/4.06 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)) % 3.90/4.06 Clause #145 (by superposition #[144, 30]): ∀ (a a_1 : Iota), % 3.90/4.06 Or (Eq (xsd_string (skS.0 1 a)) True) % 3.90/4.06 (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Or (Eq (xsd_string (skS.0 1 a)) True) (Eq False True))) % 3.90/4.06 Clause #152 (by clausification #[145]): ∀ (a a_1 : Iota), % 3.90/4.06 Or (Eq (xsd_string (skS.0 1 a)) True) (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq (xsd_string (skS.0 1 a)) True)) % 3.90/4.06 Clause #153 (by eliminate duplicate literals #[152]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 1 a)) True) (Eq (cowlNothing (skS.0 0 a_1)) True) % 3.90/4.08 Clause #154 (by superposition #[153, 110]): ∀ (a a_1 a_2 : Iota), % 3.90/4.08 Or (Eq (cowlNothing (skS.0 0 a)) True) % 3.90/4.08 (Or (Eq True False) (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq (xsd_integer (skS.0 1 a_2)) True))) % 3.90/4.08 Clause #156 (by superposition #[153, 20]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 1 a)) True) (Eq True False) % 3.90/4.08 Clause #157 (by clausification #[156]): ∀ (a : Iota), Eq (xsd_string (skS.0 1 a)) True % 3.90/4.08 Clause #159 (by superposition #[157, 31]): ∀ (a : Iota), Or (Eq True False) (Eq (xsd_integer (skS.0 1 a)) False) % 3.90/4.08 Clause #160 (by clausification #[154]): ∀ (a a_1 a_2 : Iota), % 3.90/4.08 Or (Eq (cowlNothing (skS.0 0 a)) True) % 3.90/4.08 (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq (xsd_integer (skS.0 1 a_2)) True)) % 3.90/4.08 Clause #162 (by equality factoring #[160]): ∀ (a a_1 : Iota), Or (Eq (xsd_integer (skS.0 1 a)) True) (Or (Ne True True) (Eq (cowlNothing (skS.0 0 a_1)) True)) % 3.90/4.08 Clause #163 (by clausification #[159]): ∀ (a : Iota), Eq (xsd_integer (skS.0 1 a)) False % 3.90/4.08 Clause #167 (by clausification #[162]): ∀ (a a_1 : Iota), % 3.90/4.08 Or (Eq (xsd_integer (skS.0 1 a)) True) (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Or (Eq True False) (Eq True False))) % 3.90/4.08 Clause #169 (by clausification #[167]): ∀ (a a_1 : Iota), Or (Eq (xsd_integer (skS.0 1 a)) True) (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq True False)) % 3.90/4.08 Clause #170 (by clausification #[169]): ∀ (a a_1 : Iota), Or (Eq (xsd_integer (skS.0 1 a)) True) (Eq (cowlNothing (skS.0 0 a_1)) True) % 3.90/4.08 Clause #172 (by superposition #[170, 20]): ∀ (a : Iota), Or (Eq (xsd_integer (skS.0 1 a)) True) (Eq True False) % 3.90/4.08 Clause #173 (by clausification #[172]): ∀ (a : Iota), Eq (xsd_integer (skS.0 1 a)) True % 3.90/4.08 Clause #174 (by superposition #[173, 163]): Eq True False % 3.90/4.08 Clause #176 (by clausification #[174]): False % 3.90/4.08 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------