%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KRS158+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 07:52:43 PM UTC 2025 % Result : Theorem 4.75s 5.00s % Output : Proof 5.00s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.15 % Problem : KRS158+1 : TPTP v9.2.0. Released v3.1.0. % 0.11/0.17 % Command : duper %s % 0.15/0.39 % Computer : n009.cluster.edu % 0.15/0.39 % Model : x86_64 x86_64 % 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.39 % Memory : 8042.1875MB % 0.15/0.39 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.39 % CPULimit : 300 % 0.15/0.39 % WCLimit : 300 % 0.15/0.39 % DateTime : Thu Oct 2 10:19:23 EDT 2025 % 0.15/0.39 % CPUTime : % 4.75/5.00 SZS status Theorem for theBenchmark.p % 4.75/5.00 SZS output start Proof for theBenchmark.p % 4.75/5.00 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True % 4.75/5.00 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) True % 4.75/5.00 Clause #5 (by assumption #[]): Eq (∀ (X : Iota), Iff (cC12 X) (And (cC10xcomp X) (cC2xcomp X))) True % 4.75/5.00 Clause #6 (by assumption #[]): Eq (∀ (X : Iota), Iff (cC14 X) (Exists fun Y => And (rR1 X Y) (cC12 Y))) True % 4.75/5.00 Clause #7 (by assumption #[]): Eq (∀ (X : Iota), Iff (cC16 X) (And (cC14 X) (cC8 X))) True % 4.75/5.00 Clause #8 (by assumption #[]): Eq (∀ (X : Iota), Iff (cC18 X) (And (cTOP X) (cC16 X))) True % 4.75/5.00 Clause #14 (by assumption #[]): Eq (∀ (X : Iota), Iff (cC6 X) (And (cC4xcomp X) (cC2xcomp X))) True % 4.75/5.00 Clause #16 (by assumption #[]): Eq (∀ (X : Iota), Iff (cTEST X) (And (cTOP X) (cC18 X))) True % 4.75/5.00 Clause #18 (by assumption #[]): Eq (cTEST iV16560) True % 4.75/5.00 Clause #20 (by assumption #[]): Eq (rR1 iV16560 iV16562) True % 4.75/5.00 Clause #24 (by assumption #[]): Eq (cC4xcomp iV16561) True % 4.75/5.00 Clause #25 (by assumption #[]): Eq (cC2xcomp iV16561) True % 4.75/5.00 Clause #28 (by assumption #[]): Eq (cC10xcomp iV16562) True % 4.75/5.00 Clause #29 (by assumption #[]): Eq (cC2xcomp iV16562) True % 4.75/5.00 Clause #30 (by assumption #[]): Eq % 4.75/5.00 (Not % 4.75/5.00 (And % 4.75/5.00 (And % 4.75/5.00 (And % 4.75/5.00 (And % 4.75/5.00 (And % 4.75/5.00 (And % 4.75/5.00 (And % 4.75/5.00 (And % 4.75/5.00 (And % 4.75/5.00 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.75/5.00 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.75/5.00 (cC18 iV16560)) % 4.75/5.00 (cC14 iV16560)) % 4.75/5.00 (cC8 iV16560)) % 4.75/5.00 (cC16 iV16560)) % 4.75/5.00 (cowlThing iV16560)) % 4.75/5.00 (cC6 iV16561)) % 4.75/5.00 (cowlThing iV16561)) % 4.75/5.00 (cC12 iV16562)) % 4.75/5.00 (cowlThing iV16562))) % 4.75/5.00 True % 4.75/5.00 Clause #31 (by clausification #[0]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True % 4.75/5.00 Clause #32 (by clausification #[31]): ∀ (a : Iota), Eq (Not (cowlNothing a)) True % 4.75/5.00 Clause #33 (by clausification #[31]): ∀ (a : Iota), Eq (cowlThing a) True % 4.75/5.00 Clause #34 (by clausification #[32]): ∀ (a : Iota), Eq (cowlNothing a) False % 4.75/5.00 Clause #35 (by clausification #[1]): ∀ (a : Iota), Eq (Iff (xsd_string a) (Not (xsd_integer a))) True % 4.75/5.00 Clause #36 (by clausification #[35]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (Not (xsd_integer a)) False) % 4.75/5.00 Clause #37 (by clausification #[35]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (Not (xsd_integer a)) True) % 4.75/5.00 Clause #38 (by clausification #[36]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (xsd_integer a) True) % 4.75/5.00 Clause #43 (by clausification #[37]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (xsd_integer a) False) % 4.75/5.00 Clause #52 (by clausification #[14]): ∀ (a : Iota), Eq (Iff (cC6 a) (And (cC4xcomp a) (cC2xcomp a))) True % 4.75/5.00 Clause #53 (by clausification #[52]): ∀ (a : Iota), Or (Eq (cC6 a) True) (Eq (And (cC4xcomp a) (cC2xcomp a)) False) % 4.75/5.00 Clause #55 (by clausification #[53]): ∀ (a : Iota), Or (Eq (cC6 a) True) (Or (Eq (cC4xcomp a) False) (Eq (cC2xcomp a) False)) % 4.75/5.00 Clause #56 (by superposition #[55, 24]): Or (Eq (cC6 iV16561) True) (Or (Eq (cC2xcomp iV16561) False) (Eq False True)) % 4.75/5.00 Clause #57 (by clausification #[56]): Or (Eq (cC6 iV16561) True) (Eq (cC2xcomp iV16561) False) % 4.75/5.00 Clause #58 (by forward demodulation #[57, 25]): Or (Eq (cC6 iV16561) True) (Eq True False) % 4.75/5.00 Clause #59 (by clausification #[58]): Eq (cC6 iV16561) True % 4.75/5.00 Clause #90 (by clausification #[7]): ∀ (a : Iota), Eq (Iff (cC16 a) (And (cC14 a) (cC8 a))) True % 4.75/5.00 Clause #92 (by clausification #[90]): ∀ (a : Iota), Or (Eq (cC16 a) False) (Eq (And (cC14 a) (cC8 a)) True) % 4.75/5.00 Clause #94 (by clausification #[5]): ∀ (a : Iota), Eq (Iff (cC12 a) (And (cC10xcomp a) (cC2xcomp a))) True % 4.75/5.00 Clause #95 (by clausification #[94]): ∀ (a : Iota), Or (Eq (cC12 a) True) (Eq (And (cC10xcomp a) (cC2xcomp a)) False) % 4.75/5.00 Clause #97 (by clausification #[95]): ∀ (a : Iota), Or (Eq (cC12 a) True) (Or (Eq (cC10xcomp a) False) (Eq (cC2xcomp a) False)) % 4.75/5.00 Clause #98 (by superposition #[97, 28]): Or (Eq (cC12 iV16562) True) (Or (Eq (cC2xcomp iV16562) False) (Eq False True)) % 4.75/5.02 Clause #99 (by clausification #[98]): Or (Eq (cC12 iV16562) True) (Eq (cC2xcomp iV16562) False) % 4.75/5.02 Clause #100 (by forward demodulation #[99, 29]): Or (Eq (cC12 iV16562) True) (Eq True False) % 4.75/5.02 Clause #101 (by clausification #[100]): Eq (cC12 iV16562) True % 4.75/5.02 Clause #105 (by clausification #[92]): ∀ (a : Iota), Or (Eq (cC16 a) False) (Eq (cC8 a) True) % 4.75/5.02 Clause #107 (by clausification #[6]): ∀ (a : Iota), Eq (Iff (cC14 a) (Exists fun Y => And (rR1 a Y) (cC12 Y))) True % 4.75/5.02 Clause #108 (by clausification #[107]): ∀ (a : Iota), Or (Eq (cC14 a) True) (Eq (Exists fun Y => And (rR1 a Y) (cC12 Y)) False) % 4.75/5.02 Clause #110 (by clausification #[108]): ∀ (a a_1 : Iota), Or (Eq (cC14 a) True) (Eq (And (rR1 a a_1) (cC12 a_1)) False) % 4.75/5.02 Clause #111 (by clausification #[110]): ∀ (a a_1 : Iota), Or (Eq (cC14 a) True) (Or (Eq (rR1 a a_1) False) (Eq (cC12 a_1) False)) % 4.75/5.02 Clause #113 (by superposition #[111, 20]): Or (Eq (cC14 iV16560) True) (Or (Eq (cC12 iV16562) False) (Eq False True)) % 4.75/5.02 Clause #114 (by clausification #[113]): Or (Eq (cC14 iV16560) True) (Eq (cC12 iV16562) False) % 4.75/5.02 Clause #115 (by forward demodulation #[114, 101]): Or (Eq (cC14 iV16560) True) (Eq True False) % 4.75/5.02 Clause #116 (by clausification #[115]): Eq (cC14 iV16560) True % 4.75/5.02 Clause #120 (by clausification #[8]): ∀ (a : Iota), Eq (Iff (cC18 a) (And (cTOP a) (cC16 a))) True % 4.75/5.02 Clause #122 (by clausification #[120]): ∀ (a : Iota), Or (Eq (cC18 a) False) (Eq (And (cTOP a) (cC16 a)) True) % 4.75/5.02 Clause #132 (by clausification #[122]): ∀ (a : Iota), Or (Eq (cC18 a) False) (Eq (cC16 a) True) % 4.75/5.02 Clause #136 (by clausification #[16]): ∀ (a : Iota), Eq (Iff (cTEST a) (And (cTOP a) (cC18 a))) True % 4.75/5.02 Clause #138 (by clausification #[136]): ∀ (a : Iota), Or (Eq (cTEST a) False) (Eq (And (cTOP a) (cC18 a)) True) % 4.75/5.02 Clause #153 (by clausification #[138]): ∀ (a : Iota), Or (Eq (cTEST a) False) (Eq (cC18 a) True) % 4.75/5.02 Clause #155 (by superposition #[153, 18]): Or (Eq (cC18 iV16560) True) (Eq False True) % 4.75/5.02 Clause #156 (by clausification #[155]): Eq (cC18 iV16560) True % 4.75/5.02 Clause #157 (by superposition #[156, 132]): Or (Eq True False) (Eq (cC16 iV16560) True) % 4.75/5.02 Clause #164 (by clausification #[157]): Eq (cC16 iV16560) True % 4.75/5.02 Clause #166 (by superposition #[164, 105]): Or (Eq True False) (Eq (cC8 iV16560) True) % 4.75/5.02 Clause #168 (by clausification #[166]): Eq (cC8 iV16560) True % 4.75/5.02 Clause #218 (by clausification #[30]): Eq % 4.75/5.02 (And % 4.75/5.02 (And % 4.75/5.02 (And % 4.75/5.02 (And % 4.75/5.02 (And % 4.75/5.02 (And % 4.75/5.02 (And % 4.75/5.02 (And % 4.75/5.02 (And % 4.75/5.02 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.75/5.02 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.75/5.02 (cC18 iV16560)) % 4.75/5.02 (cC14 iV16560)) % 4.75/5.02 (cC8 iV16560)) % 4.75/5.02 (cC16 iV16560)) % 4.75/5.02 (cowlThing iV16560)) % 4.75/5.02 (cC6 iV16561)) % 4.75/5.02 (cowlThing iV16561)) % 4.75/5.02 (cC12 iV16562)) % 4.75/5.02 (cowlThing iV16562)) % 4.75/5.02 False % 4.75/5.02 Clause #219 (by clausification #[218]): Or % 4.75/5.02 (Eq % 4.75/5.02 (And % 4.75/5.02 (And % 4.75/5.02 (And % 4.75/5.02 (And % 4.75/5.02 (And % 4.75/5.02 (And % 4.75/5.02 (And % 4.75/5.02 (And % 4.75/5.02 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.75/5.02 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.75/5.02 (cC18 iV16560)) % 4.75/5.02 (cC14 iV16560)) % 4.75/5.02 (cC8 iV16560)) % 4.75/5.02 (cC16 iV16560)) % 4.75/5.02 (cowlThing iV16560)) % 4.75/5.02 (cC6 iV16561)) % 4.75/5.02 (cowlThing iV16561)) % 4.75/5.02 (cC12 iV16562)) % 4.75/5.02 False) % 4.75/5.02 (Eq (cowlThing iV16562) False) % 4.75/5.02 Clause #220 (by clausification #[219]): Or (Eq (cowlThing iV16562) False) % 4.75/5.02 (Or % 4.75/5.02 (Eq % 4.75/5.02 (And % 4.75/5.02 (And % 4.75/5.02 (And % 4.75/5.02 (And % 4.75/5.02 (And % 4.75/5.02 (And % 4.75/5.02 (And % 4.75/5.02 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.75/5.02 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.75/5.02 (cC18 iV16560)) % 4.75/5.02 (cC14 iV16560)) % 4.75/5.02 (cC8 iV16560)) % 4.84/5.04 (cC16 iV16560)) % 4.84/5.04 (cowlThing iV16560)) % 4.84/5.04 (cC6 iV16561)) % 4.84/5.04 (cowlThing iV16561)) % 4.84/5.04 False) % 4.84/5.04 (Eq (cC12 iV16562) False)) % 4.84/5.04 Clause #221 (by clausification #[220]): Or (Eq (cowlThing iV16562) False) % 4.84/5.04 (Or (Eq (cC12 iV16562) False) % 4.84/5.04 (Or % 4.84/5.04 (Eq % 4.84/5.04 (And % 4.84/5.04 (And % 4.84/5.04 (And % 4.84/5.04 (And % 4.84/5.04 (And % 4.84/5.04 (And % 4.84/5.04 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.84/5.04 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.84/5.04 (cC18 iV16560)) % 4.84/5.04 (cC14 iV16560)) % 4.84/5.04 (cC8 iV16560)) % 4.84/5.04 (cC16 iV16560)) % 4.84/5.04 (cowlThing iV16560)) % 4.84/5.04 (cC6 iV16561)) % 4.84/5.04 False) % 4.84/5.04 (Eq (cowlThing iV16561) False))) % 4.84/5.04 Clause #222 (by clausification #[221]): Or (Eq (cowlThing iV16562) False) % 4.84/5.04 (Or (Eq (cC12 iV16562) False) % 4.84/5.04 (Or (Eq (cowlThing iV16561) False) % 4.84/5.04 (Or % 4.84/5.04 (Eq % 4.84/5.04 (And % 4.84/5.04 (And % 4.84/5.04 (And % 4.84/5.04 (And % 4.84/5.04 (And % 4.84/5.04 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.84/5.04 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.84/5.04 (cC18 iV16560)) % 4.84/5.04 (cC14 iV16560)) % 4.84/5.04 (cC8 iV16560)) % 4.84/5.04 (cC16 iV16560)) % 4.84/5.04 (cowlThing iV16560)) % 4.84/5.04 False) % 4.84/5.04 (Eq (cC6 iV16561) False)))) % 4.84/5.04 Clause #223 (by clausification #[222]): Or (Eq (cowlThing iV16562) False) % 4.84/5.04 (Or (Eq (cC12 iV16562) False) % 4.84/5.04 (Or (Eq (cowlThing iV16561) False) % 4.84/5.04 (Or (Eq (cC6 iV16561) False) % 4.84/5.04 (Or % 4.84/5.04 (Eq % 4.84/5.04 (And % 4.84/5.04 (And % 4.84/5.04 (And % 4.84/5.04 (And % 4.84/5.04 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.84/5.04 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.84/5.04 (cC18 iV16560)) % 4.84/5.04 (cC14 iV16560)) % 4.84/5.04 (cC8 iV16560)) % 4.84/5.04 (cC16 iV16560)) % 4.84/5.04 False) % 4.84/5.04 (Eq (cowlThing iV16560) False))))) % 4.84/5.04 Clause #224 (by clausification #[223]): Or (Eq (cowlThing iV16562) False) % 4.84/5.04 (Or (Eq (cC12 iV16562) False) % 4.84/5.04 (Or (Eq (cowlThing iV16561) False) % 4.84/5.04 (Or (Eq (cC6 iV16561) False) % 4.84/5.04 (Or (Eq (cowlThing iV16560) False) % 4.84/5.04 (Or % 4.84/5.04 (Eq % 4.84/5.04 (And % 4.84/5.04 (And % 4.84/5.04 (And % 4.84/5.04 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.84/5.04 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.84/5.04 (cC18 iV16560)) % 4.84/5.04 (cC14 iV16560)) % 4.84/5.04 (cC8 iV16560)) % 4.84/5.04 False) % 4.84/5.04 (Eq (cC16 iV16560) False)))))) % 4.84/5.04 Clause #225 (by clausification #[224]): Or (Eq (cowlThing iV16562) False) % 4.84/5.04 (Or (Eq (cC12 iV16562) False) % 4.84/5.04 (Or (Eq (cowlThing iV16561) False) % 4.84/5.04 (Or (Eq (cC6 iV16561) False) % 4.84/5.04 (Or (Eq (cowlThing iV16560) False) % 4.84/5.04 (Or (Eq (cC16 iV16560) False) % 4.84/5.04 (Or % 4.84/5.04 (Eq % 4.84/5.04 (And % 4.84/5.04 (And % 4.84/5.04 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.84/5.04 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.84/5.04 (cC18 iV16560)) % 4.84/5.04 (cC14 iV16560)) % 4.84/5.04 False) % 4.84/5.04 (Eq (cC8 iV16560) False))))))) % 4.84/5.04 Clause #226 (by clausification #[225]): Or (Eq (cowlThing iV16562) False) % 4.84/5.04 (Or (Eq (cC12 iV16562) False) % 4.84/5.04 (Or (Eq (cowlThing iV16561) False) % 4.84/5.04 (Or (Eq (cC6 iV16561) False) % 4.84/5.04 (Or (Eq (cowlThing iV16560) False) % 4.84/5.04 (Or (Eq (cC16 iV16560) False) % 4.84/5.04 (Or (Eq (cC8 iV16560) False) % 4.84/5.04 (Or % 4.84/5.04 (Eq % 4.84/5.04 (And % 4.84/5.04 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.84/5.04 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.84/5.04 (cC18 iV16560)) % 4.84/5.04 False) % 4.84/5.04 (Eq (cC14 iV16560) False)))))))) % 4.84/5.04 Clause #227 (by clausification #[226]): Or (Eq (cowlThing iV16562) False) % 4.84/5.07 (Or (Eq (cC12 iV16562) False) % 4.84/5.07 (Or (Eq (cowlThing iV16561) False) % 4.84/5.07 (Or (Eq (cC6 iV16561) False) % 4.84/5.07 (Or (Eq (cowlThing iV16560) False) % 4.84/5.07 (Or (Eq (cC16 iV16560) False) % 4.84/5.07 (Or (Eq (cC8 iV16560) False) % 4.84/5.07 (Or (Eq (cC14 iV16560) False) % 4.84/5.07 (Or % 4.84/5.07 (Eq % 4.84/5.07 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.84/5.07 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.84/5.07 False) % 4.84/5.07 (Eq (cC18 iV16560) False))))))))) % 4.84/5.07 Clause #228 (by clausification #[227]): Or (Eq (cowlThing iV16562) False) % 4.84/5.07 (Or (Eq (cC12 iV16562) False) % 4.84/5.07 (Or (Eq (cowlThing iV16561) False) % 4.84/5.07 (Or (Eq (cC6 iV16561) False) % 4.84/5.07 (Or (Eq (cowlThing iV16560) False) % 4.84/5.07 (Or (Eq (cC16 iV16560) False) % 4.84/5.07 (Or (Eq (cC8 iV16560) False) % 4.84/5.07 (Or (Eq (cC14 iV16560) False) % 4.84/5.07 (Or (Eq (cC18 iV16560) False) % 4.84/5.07 (Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False) % 4.84/5.07 (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)))))))))) % 4.84/5.07 Clause #229 (by clausification #[228]): ∀ (a : Iota), % 4.84/5.07 Or (Eq (cowlThing iV16562) False) % 4.84/5.07 (Or (Eq (cC12 iV16562) False) % 4.84/5.07 (Or (Eq (cowlThing iV16561) False) % 4.84/5.07 (Or (Eq (cC6 iV16561) False) % 4.84/5.07 (Or (Eq (cowlThing iV16560) False) % 4.84/5.07 (Or (Eq (cC16 iV16560) False) % 4.84/5.07 (Or (Eq (cC8 iV16560) False) % 4.84/5.07 (Or (Eq (cC14 iV16560) False) % 4.84/5.07 (Or (Eq (cC18 iV16560) False) % 4.84/5.07 (Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False) % 4.84/5.07 (Eq (Not (And (cowlThing (skS.0 7 a)) (Not (cowlNothing (skS.0 7 a))))) True)))))))))) % 4.84/5.07 Clause #230 (by clausification #[229]): ∀ (a a_1 : Iota), % 4.84/5.07 Or (Eq (cowlThing iV16562) False) % 4.84/5.07 (Or (Eq (cC12 iV16562) False) % 4.84/5.07 (Or (Eq (cowlThing iV16561) False) % 4.84/5.07 (Or (Eq (cC6 iV16561) False) % 4.84/5.07 (Or (Eq (cowlThing iV16560) False) % 4.84/5.07 (Or (Eq (cC16 iV16560) False) % 4.84/5.07 (Or (Eq (cC8 iV16560) False) % 4.84/5.07 (Or (Eq (cC14 iV16560) False) % 4.84/5.07 (Or (Eq (cC18 iV16560) False) % 4.84/5.07 (Or (Eq (Not (And (cowlThing (skS.0 7 a)) (Not (cowlNothing (skS.0 7 a))))) True) % 4.84/5.07 (Eq (Not (Iff (xsd_string (skS.0 8 a_1)) (Not (xsd_integer (skS.0 8 a_1))))) True)))))))))) % 4.84/5.07 Clause #231 (by clausification #[230]): ∀ (a a_1 : Iota), % 4.84/5.07 Or (Eq (cowlThing iV16562) False) % 4.84/5.07 (Or (Eq (cC12 iV16562) False) % 4.84/5.07 (Or (Eq (cowlThing iV16561) False) % 4.84/5.07 (Or (Eq (cC6 iV16561) False) % 4.84/5.07 (Or (Eq (cowlThing iV16560) False) % 4.84/5.07 (Or (Eq (cC16 iV16560) False) % 4.84/5.07 (Or (Eq (cC8 iV16560) False) % 4.84/5.07 (Or (Eq (cC14 iV16560) False) % 4.84/5.07 (Or (Eq (cC18 iV16560) False) % 4.84/5.07 (Or (Eq (Not (Iff (xsd_string (skS.0 8 a)) (Not (xsd_integer (skS.0 8 a))))) True) % 4.84/5.07 (Eq (And (cowlThing (skS.0 7 a_1)) (Not (cowlNothing (skS.0 7 a_1)))) False)))))))))) % 4.84/5.07 Clause #232 (by clausification #[231]): ∀ (a a_1 : Iota), % 4.84/5.07 Or (Eq (cowlThing iV16562) False) % 4.84/5.07 (Or (Eq (cC12 iV16562) False) % 4.84/5.07 (Or (Eq (cowlThing iV16561) False) % 4.84/5.07 (Or (Eq (cC6 iV16561) False) % 4.84/5.07 (Or (Eq (cowlThing iV16560) False) % 4.84/5.07 (Or (Eq (cC16 iV16560) False) % 4.84/5.07 (Or (Eq (cC8 iV16560) False) % 4.84/5.07 (Or (Eq (cC14 iV16560) False) % 4.84/5.07 (Or (Eq (cC18 iV16560) False) % 4.84/5.07 (Or (Eq (And (cowlThing (skS.0 7 a)) (Not (cowlNothing (skS.0 7 a)))) False) % 4.84/5.07 (Eq (Iff (xsd_string (skS.0 8 a_1)) (Not (xsd_integer (skS.0 8 a_1)))) False)))))))))) % 4.84/5.07 Clause #233 (by clausification #[232]): ∀ (a a_1 : Iota), % 4.84/5.07 Or (Eq (cowlThing iV16562) False) % 4.84/5.07 (Or (Eq (cC12 iV16562) False) % 4.84/5.07 (Or (Eq (cowlThing iV16561) False) % 4.84/5.07 (Or (Eq (cC6 iV16561) False) % 4.84/5.07 (Or (Eq (cowlThing iV16560) False) % 4.84/5.07 (Or (Eq (cC16 iV16560) False) % 4.84/5.07 (Or (Eq (cC8 iV16560) False) % 4.84/5.07 (Or (Eq (cC14 iV16560) False) % 4.84/5.07 (Or (Eq (cC18 iV16560) False) % 4.84/5.09 (Or (Eq (Iff (xsd_string (skS.0 8 a)) (Not (xsd_integer (skS.0 8 a)))) False) % 4.84/5.09 (Or (Eq (cowlThing (skS.0 7 a_1)) False) (Eq (Not (cowlNothing (skS.0 7 a_1))) False))))))))))) % 4.84/5.09 Clause #234 (by clausification #[233]): ∀ (a a_1 : Iota), % 4.84/5.09 Or (Eq (cowlThing iV16562) False) % 4.84/5.09 (Or (Eq (cC12 iV16562) False) % 4.84/5.09 (Or (Eq (cowlThing iV16561) False) % 4.84/5.09 (Or (Eq (cC6 iV16561) False) % 4.84/5.09 (Or (Eq (cowlThing iV16560) False) % 4.84/5.09 (Or (Eq (cC16 iV16560) False) % 4.84/5.09 (Or (Eq (cC8 iV16560) False) % 4.84/5.09 (Or (Eq (cC14 iV16560) False) % 4.84/5.09 (Or (Eq (cC18 iV16560) False) % 4.84/5.09 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.84/5.09 (Or (Eq (Not (cowlNothing (skS.0 7 a))) False) % 4.84/5.09 (Or (Eq (xsd_string (skS.0 8 a_1)) False) % 4.84/5.09 (Eq (Not (xsd_integer (skS.0 8 a_1))) False)))))))))))) % 4.84/5.09 Clause #235 (by clausification #[233]): ∀ (a a_1 : Iota), % 4.84/5.09 Or (Eq (cowlThing iV16562) False) % 4.84/5.09 (Or (Eq (cC12 iV16562) False) % 4.84/5.09 (Or (Eq (cowlThing iV16561) False) % 4.84/5.09 (Or (Eq (cC6 iV16561) False) % 4.84/5.09 (Or (Eq (cowlThing iV16560) False) % 4.84/5.09 (Or (Eq (cC16 iV16560) False) % 4.84/5.09 (Or (Eq (cC8 iV16560) False) % 4.84/5.09 (Or (Eq (cC14 iV16560) False) % 4.84/5.09 (Or (Eq (cC18 iV16560) False) % 4.84/5.09 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.84/5.09 (Or (Eq (Not (cowlNothing (skS.0 7 a))) False) % 4.84/5.09 (Or (Eq (xsd_string (skS.0 8 a_1)) True) (Eq (Not (xsd_integer (skS.0 8 a_1))) True)))))))))))) % 4.84/5.09 Clause #236 (by clausification #[234]): ∀ (a a_1 : Iota), % 4.84/5.09 Or (Eq (cowlThing iV16562) False) % 4.84/5.09 (Or (Eq (cC12 iV16562) False) % 4.84/5.09 (Or (Eq (cowlThing iV16561) False) % 4.84/5.09 (Or (Eq (cC6 iV16561) False) % 4.84/5.09 (Or (Eq (cowlThing iV16560) False) % 4.84/5.09 (Or (Eq (cC16 iV16560) False) % 4.84/5.09 (Or (Eq (cC8 iV16560) False) % 4.84/5.09 (Or (Eq (cC14 iV16560) False) % 4.84/5.09 (Or (Eq (cC18 iV16560) False) % 4.84/5.09 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.84/5.09 (Or (Eq (xsd_string (skS.0 8 a_1)) False) % 4.84/5.09 (Or (Eq (Not (xsd_integer (skS.0 8 a_1))) False) (Eq (cowlNothing (skS.0 7 a)) True)))))))))))) % 4.84/5.09 Clause #237 (by clausification #[236]): ∀ (a a_1 : Iota), % 4.84/5.09 Or (Eq (cowlThing iV16562) False) % 4.84/5.09 (Or (Eq (cC12 iV16562) False) % 4.84/5.09 (Or (Eq (cowlThing iV16561) False) % 4.84/5.09 (Or (Eq (cC6 iV16561) False) % 4.84/5.09 (Or (Eq (cowlThing iV16560) False) % 4.84/5.09 (Or (Eq (cC16 iV16560) False) % 4.84/5.09 (Or (Eq (cC8 iV16560) False) % 4.84/5.09 (Or (Eq (cC14 iV16560) False) % 4.84/5.09 (Or (Eq (cC18 iV16560) False) % 4.84/5.09 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.84/5.09 (Or (Eq (xsd_string (skS.0 8 a_1)) False) % 4.84/5.09 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) True)))))))))))) % 4.84/5.09 Clause #238 (by forward demodulation #[237, 33]): ∀ (a a_1 : Iota), % 4.84/5.09 Or (Eq True False) % 4.84/5.09 (Or (Eq (cC12 iV16562) False) % 4.84/5.09 (Or (Eq (cowlThing iV16561) False) % 4.84/5.09 (Or (Eq (cC6 iV16561) False) % 4.84/5.09 (Or (Eq (cowlThing iV16560) False) % 4.84/5.09 (Or (Eq (cC16 iV16560) False) % 4.84/5.09 (Or (Eq (cC8 iV16560) False) % 4.84/5.09 (Or (Eq (cC14 iV16560) False) % 4.84/5.09 (Or (Eq (cC18 iV16560) False) % 4.84/5.09 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.84/5.09 (Or (Eq (xsd_string (skS.0 8 a_1)) False) % 4.84/5.09 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) True)))))))))))) % 4.84/5.09 Clause #239 (by clausification #[238]): ∀ (a a_1 : Iota), % 4.84/5.09 Or (Eq (cC12 iV16562) False) % 4.84/5.09 (Or (Eq (cowlThing iV16561) False) % 4.84/5.09 (Or (Eq (cC6 iV16561) False) % 4.84/5.09 (Or (Eq (cowlThing iV16560) False) % 4.84/5.09 (Or (Eq (cC16 iV16560) False) % 4.84/5.09 (Or (Eq (cC8 iV16560) False) % 4.84/5.09 (Or (Eq (cC14 iV16560) False) % 4.84/5.09 (Or (Eq (cC18 iV16560) False) % 4.84/5.09 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.84/5.09 (Or (Eq (xsd_string (skS.0 8 a_1)) False) % 4.92/5.11 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) True))))))))))) % 4.92/5.11 Clause #240 (by forward demodulation #[239, 101]): ∀ (a a_1 : Iota), % 4.92/5.11 Or (Eq True False) % 4.92/5.11 (Or (Eq (cowlThing iV16561) False) % 4.92/5.11 (Or (Eq (cC6 iV16561) False) % 4.92/5.11 (Or (Eq (cowlThing iV16560) False) % 4.92/5.11 (Or (Eq (cC16 iV16560) False) % 4.92/5.11 (Or (Eq (cC8 iV16560) False) % 4.92/5.11 (Or (Eq (cC14 iV16560) False) % 4.92/5.11 (Or (Eq (cC18 iV16560) False) % 4.92/5.11 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.92/5.11 (Or (Eq (xsd_string (skS.0 8 a_1)) False) % 4.92/5.11 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) True))))))))))) % 4.92/5.11 Clause #241 (by clausification #[240]): ∀ (a a_1 : Iota), % 4.92/5.11 Or (Eq (cowlThing iV16561) False) % 4.92/5.11 (Or (Eq (cC6 iV16561) False) % 4.92/5.11 (Or (Eq (cowlThing iV16560) False) % 4.92/5.11 (Or (Eq (cC16 iV16560) False) % 4.92/5.11 (Or (Eq (cC8 iV16560) False) % 4.92/5.11 (Or (Eq (cC14 iV16560) False) % 4.92/5.11 (Or (Eq (cC18 iV16560) False) % 4.92/5.11 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.92/5.11 (Or (Eq (xsd_string (skS.0 8 a_1)) False) % 4.92/5.11 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) True)))))))))) % 4.92/5.11 Clause #242 (by forward demodulation #[241, 33]): ∀ (a a_1 : Iota), % 4.92/5.11 Or (Eq True False) % 4.92/5.11 (Or (Eq (cC6 iV16561) False) % 4.92/5.11 (Or (Eq (cowlThing iV16560) False) % 4.92/5.11 (Or (Eq (cC16 iV16560) False) % 4.92/5.11 (Or (Eq (cC8 iV16560) False) % 4.92/5.11 (Or (Eq (cC14 iV16560) False) % 4.92/5.11 (Or (Eq (cC18 iV16560) False) % 4.92/5.11 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.92/5.11 (Or (Eq (xsd_string (skS.0 8 a_1)) False) % 4.92/5.11 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) True)))))))))) % 4.92/5.11 Clause #243 (by clausification #[242]): ∀ (a a_1 : Iota), % 4.92/5.11 Or (Eq (cC6 iV16561) False) % 4.92/5.11 (Or (Eq (cowlThing iV16560) False) % 4.92/5.11 (Or (Eq (cC16 iV16560) False) % 4.92/5.11 (Or (Eq (cC8 iV16560) False) % 4.92/5.11 (Or (Eq (cC14 iV16560) False) % 4.92/5.11 (Or (Eq (cC18 iV16560) False) % 4.92/5.11 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.92/5.11 (Or (Eq (xsd_string (skS.0 8 a_1)) False) % 4.92/5.11 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) True))))))))) % 4.92/5.11 Clause #244 (by forward demodulation #[243, 59]): ∀ (a a_1 : Iota), % 4.92/5.11 Or (Eq True False) % 4.92/5.11 (Or (Eq (cowlThing iV16560) False) % 4.92/5.11 (Or (Eq (cC16 iV16560) False) % 4.92/5.11 (Or (Eq (cC8 iV16560) False) % 4.92/5.11 (Or (Eq (cC14 iV16560) False) % 4.92/5.11 (Or (Eq (cC18 iV16560) False) % 4.92/5.11 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.92/5.11 (Or (Eq (xsd_string (skS.0 8 a_1)) False) % 4.92/5.11 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) True))))))))) % 4.92/5.11 Clause #245 (by clausification #[244]): ∀ (a a_1 : Iota), % 4.92/5.11 Or (Eq (cowlThing iV16560) False) % 4.92/5.11 (Or (Eq (cC16 iV16560) False) % 4.92/5.11 (Or (Eq (cC8 iV16560) False) % 4.92/5.11 (Or (Eq (cC14 iV16560) False) % 4.92/5.11 (Or (Eq (cC18 iV16560) False) % 4.92/5.11 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.92/5.11 (Or (Eq (xsd_string (skS.0 8 a_1)) False) % 4.92/5.11 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) True)))))))) % 4.92/5.11 Clause #246 (by forward demodulation #[245, 33]): ∀ (a a_1 : Iota), % 4.92/5.11 Or (Eq True False) % 4.92/5.11 (Or (Eq (cC16 iV16560) False) % 4.92/5.11 (Or (Eq (cC8 iV16560) False) % 4.92/5.11 (Or (Eq (cC14 iV16560) False) % 4.92/5.11 (Or (Eq (cC18 iV16560) False) % 4.92/5.11 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.92/5.11 (Or (Eq (xsd_string (skS.0 8 a_1)) False) % 4.92/5.11 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) True)))))))) % 4.92/5.11 Clause #247 (by clausification #[246]): ∀ (a a_1 : Iota), % 4.92/5.11 Or (Eq (cC16 iV16560) False) % 4.92/5.11 (Or (Eq (cC8 iV16560) False) % 4.92/5.11 (Or (Eq (cC14 iV16560) False) % 4.92/5.11 (Or (Eq (cC18 iV16560) False) % 4.92/5.11 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.92/5.11 (Or (Eq (xsd_string (skS.0 8 a_1)) False) % 4.92/5.11 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) True))))))) % 4.92/5.14 Clause #248 (by forward demodulation #[247, 164]): ∀ (a a_1 : Iota), % 4.92/5.14 Or (Eq True False) % 4.92/5.14 (Or (Eq (cC8 iV16560) False) % 4.92/5.14 (Or (Eq (cC14 iV16560) False) % 4.92/5.14 (Or (Eq (cC18 iV16560) False) % 4.92/5.14 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.92/5.14 (Or (Eq (xsd_string (skS.0 8 a_1)) False) % 4.92/5.14 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) True))))))) % 4.92/5.14 Clause #249 (by clausification #[248]): ∀ (a a_1 : Iota), % 4.92/5.14 Or (Eq (cC8 iV16560) False) % 4.92/5.14 (Or (Eq (cC14 iV16560) False) % 4.92/5.14 (Or (Eq (cC18 iV16560) False) % 4.92/5.14 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.92/5.14 (Or (Eq (xsd_string (skS.0 8 a_1)) False) % 4.92/5.14 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) True)))))) % 4.92/5.14 Clause #250 (by forward demodulation #[249, 168]): ∀ (a a_1 : Iota), % 4.92/5.14 Or (Eq True False) % 4.92/5.14 (Or (Eq (cC14 iV16560) False) % 4.92/5.14 (Or (Eq (cC18 iV16560) False) % 4.92/5.14 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.92/5.14 (Or (Eq (xsd_string (skS.0 8 a_1)) False) % 4.92/5.14 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) True)))))) % 4.92/5.14 Clause #251 (by clausification #[250]): ∀ (a a_1 : Iota), % 4.92/5.14 Or (Eq (cC14 iV16560) False) % 4.92/5.14 (Or (Eq (cC18 iV16560) False) % 4.92/5.14 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.92/5.14 (Or (Eq (xsd_string (skS.0 8 a_1)) False) % 4.92/5.14 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) True))))) % 4.92/5.14 Clause #252 (by forward demodulation #[251, 116]): ∀ (a a_1 : Iota), % 4.92/5.14 Or (Eq True False) % 4.92/5.14 (Or (Eq (cC18 iV16560) False) % 4.92/5.14 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.92/5.14 (Or (Eq (xsd_string (skS.0 8 a_1)) False) % 4.92/5.14 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) True))))) % 4.92/5.14 Clause #253 (by clausification #[252]): ∀ (a a_1 : Iota), % 4.92/5.14 Or (Eq (cC18 iV16560) False) % 4.92/5.14 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.92/5.14 (Or (Eq (xsd_string (skS.0 8 a_1)) False) % 4.92/5.14 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) True)))) % 4.92/5.14 Clause #254 (by forward demodulation #[253, 156]): ∀ (a a_1 : Iota), % 4.92/5.14 Or (Eq True False) % 4.92/5.14 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.92/5.14 (Or (Eq (xsd_string (skS.0 8 a_1)) False) % 4.92/5.14 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) True)))) % 4.92/5.14 Clause #255 (by clausification #[254]): ∀ (a a_1 : Iota), % 4.92/5.14 Or (Eq (cowlThing (skS.0 7 a)) False) % 4.92/5.14 (Or (Eq (xsd_string (skS.0 8 a_1)) False) % 4.92/5.14 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) True))) % 4.92/5.14 Clause #256 (by forward demodulation #[255, 33]): ∀ (a a_1 : Iota), % 4.92/5.14 Or (Eq True False) % 4.92/5.14 (Or (Eq (xsd_string (skS.0 8 a)) False) % 4.92/5.14 (Or (Eq (cowlNothing (skS.0 7 a_1)) True) (Eq (xsd_integer (skS.0 8 a)) True))) % 4.92/5.14 Clause #257 (by clausification #[256]): ∀ (a a_1 : Iota), % 4.92/5.14 Or (Eq (xsd_string (skS.0 8 a)) False) (Or (Eq (cowlNothing (skS.0 7 a_1)) True) (Eq (xsd_integer (skS.0 8 a)) True)) % 4.92/5.14 Clause #258 (by superposition #[257, 38]): ∀ (a a_1 : Iota), % 4.92/5.14 Or (Eq (cowlNothing (skS.0 7 a)) True) % 4.92/5.14 (Or (Eq (xsd_integer (skS.0 8 a_1)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 8 a_1)) True))) % 4.92/5.14 Clause #335 (by clausification #[235]): ∀ (a a_1 : Iota), % 4.92/5.14 Or (Eq (cowlThing iV16562) False) % 4.92/5.14 (Or (Eq (cC12 iV16562) False) % 4.92/5.14 (Or (Eq (cowlThing iV16561) False) % 4.92/5.14 (Or (Eq (cC6 iV16561) False) % 4.92/5.14 (Or (Eq (cowlThing iV16560) False) % 4.92/5.14 (Or (Eq (cC16 iV16560) False) % 4.92/5.14 (Or (Eq (cC8 iV16560) False) % 4.92/5.14 (Or (Eq (cC14 iV16560) False) % 4.92/5.14 (Or (Eq (cC18 iV16560) False) % 4.92/5.14 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.92/5.14 (Or (Eq (xsd_string (skS.0 8 a_1)) True) % 4.92/5.14 (Or (Eq (Not (xsd_integer (skS.0 8 a_1))) True) (Eq (cowlNothing (skS.0 7 a)) True)))))))))))) % 4.92/5.14 Clause #336 (by clausification #[335]): ∀ (a a_1 : Iota), % 4.92/5.14 Or (Eq (cowlThing iV16562) False) % 4.92/5.14 (Or (Eq (cC12 iV16562) False) % 4.92/5.14 (Or (Eq (cowlThing iV16561) False) % 4.92/5.14 (Or (Eq (cC6 iV16561) False) % 4.92/5.14 (Or (Eq (cowlThing iV16560) False) % 4.92/5.16 (Or (Eq (cC16 iV16560) False) % 4.92/5.16 (Or (Eq (cC8 iV16560) False) % 4.92/5.16 (Or (Eq (cC14 iV16560) False) % 4.92/5.16 (Or (Eq (cC18 iV16560) False) % 4.92/5.16 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.92/5.16 (Or (Eq (xsd_string (skS.0 8 a_1)) True) % 4.92/5.16 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) False)))))))))))) % 4.92/5.16 Clause #337 (by forward demodulation #[336, 33]): ∀ (a a_1 : Iota), % 4.92/5.16 Or (Eq True False) % 4.92/5.16 (Or (Eq (cC12 iV16562) False) % 4.92/5.16 (Or (Eq (cowlThing iV16561) False) % 4.92/5.16 (Or (Eq (cC6 iV16561) False) % 4.92/5.16 (Or (Eq (cowlThing iV16560) False) % 4.92/5.16 (Or (Eq (cC16 iV16560) False) % 4.92/5.16 (Or (Eq (cC8 iV16560) False) % 4.92/5.16 (Or (Eq (cC14 iV16560) False) % 4.92/5.16 (Or (Eq (cC18 iV16560) False) % 4.92/5.16 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.92/5.16 (Or (Eq (xsd_string (skS.0 8 a_1)) True) % 4.92/5.16 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) False)))))))))))) % 4.92/5.16 Clause #338 (by clausification #[337]): ∀ (a a_1 : Iota), % 4.92/5.16 Or (Eq (cC12 iV16562) False) % 4.92/5.16 (Or (Eq (cowlThing iV16561) False) % 4.92/5.16 (Or (Eq (cC6 iV16561) False) % 4.92/5.16 (Or (Eq (cowlThing iV16560) False) % 4.92/5.16 (Or (Eq (cC16 iV16560) False) % 4.92/5.16 (Or (Eq (cC8 iV16560) False) % 4.92/5.16 (Or (Eq (cC14 iV16560) False) % 4.92/5.16 (Or (Eq (cC18 iV16560) False) % 4.92/5.16 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.92/5.16 (Or (Eq (xsd_string (skS.0 8 a_1)) True) % 4.92/5.16 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) False))))))))))) % 4.92/5.16 Clause #339 (by forward demodulation #[338, 101]): ∀ (a a_1 : Iota), % 4.92/5.16 Or (Eq True False) % 4.92/5.16 (Or (Eq (cowlThing iV16561) False) % 4.92/5.16 (Or (Eq (cC6 iV16561) False) % 4.92/5.16 (Or (Eq (cowlThing iV16560) False) % 4.92/5.16 (Or (Eq (cC16 iV16560) False) % 4.92/5.16 (Or (Eq (cC8 iV16560) False) % 4.92/5.16 (Or (Eq (cC14 iV16560) False) % 4.92/5.16 (Or (Eq (cC18 iV16560) False) % 4.92/5.16 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.92/5.16 (Or (Eq (xsd_string (skS.0 8 a_1)) True) % 4.92/5.16 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) False))))))))))) % 4.92/5.16 Clause #340 (by clausification #[339]): ∀ (a a_1 : Iota), % 4.92/5.16 Or (Eq (cowlThing iV16561) False) % 4.92/5.16 (Or (Eq (cC6 iV16561) False) % 4.92/5.16 (Or (Eq (cowlThing iV16560) False) % 4.92/5.16 (Or (Eq (cC16 iV16560) False) % 4.92/5.16 (Or (Eq (cC8 iV16560) False) % 4.92/5.16 (Or (Eq (cC14 iV16560) False) % 4.92/5.16 (Or (Eq (cC18 iV16560) False) % 4.92/5.16 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.92/5.16 (Or (Eq (xsd_string (skS.0 8 a_1)) True) % 4.92/5.16 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) False)))))))))) % 4.92/5.16 Clause #341 (by forward demodulation #[340, 33]): ∀ (a a_1 : Iota), % 4.92/5.16 Or (Eq True False) % 4.92/5.16 (Or (Eq (cC6 iV16561) False) % 4.92/5.16 (Or (Eq (cowlThing iV16560) False) % 4.92/5.16 (Or (Eq (cC16 iV16560) False) % 4.92/5.16 (Or (Eq (cC8 iV16560) False) % 4.92/5.16 (Or (Eq (cC14 iV16560) False) % 4.92/5.16 (Or (Eq (cC18 iV16560) False) % 4.92/5.16 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.92/5.16 (Or (Eq (xsd_string (skS.0 8 a_1)) True) % 4.92/5.16 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) False)))))))))) % 4.92/5.16 Clause #342 (by clausification #[341]): ∀ (a a_1 : Iota), % 4.92/5.16 Or (Eq (cC6 iV16561) False) % 4.92/5.16 (Or (Eq (cowlThing iV16560) False) % 4.92/5.16 (Or (Eq (cC16 iV16560) False) % 4.92/5.16 (Or (Eq (cC8 iV16560) False) % 4.92/5.16 (Or (Eq (cC14 iV16560) False) % 4.92/5.16 (Or (Eq (cC18 iV16560) False) % 4.92/5.16 (Or (Eq (cowlThing (skS.0 7 a)) False) % 4.92/5.16 (Or (Eq (xsd_string (skS.0 8 a_1)) True) % 4.92/5.16 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) False))))))))) % 4.92/5.16 Clause #343 (by forward demodulation #[342, 59]): ∀ (a a_1 : Iota), % 4.92/5.16 Or (Eq True False) % 4.92/5.16 (Or (Eq (cowlThing iV16560) False) % 4.92/5.16 (Or (Eq (cC16 iV16560) False) % 4.92/5.16 (Or (Eq (cC8 iV16560) False) % 5.00/5.18 (Or (Eq (cC14 iV16560) False) % 5.00/5.18 (Or (Eq (cC18 iV16560) False) % 5.00/5.18 (Or (Eq (cowlThing (skS.0 7 a)) False) % 5.00/5.18 (Or (Eq (xsd_string (skS.0 8 a_1)) True) % 5.00/5.18 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) False))))))))) % 5.00/5.18 Clause #344 (by clausification #[343]): ∀ (a a_1 : Iota), % 5.00/5.18 Or (Eq (cowlThing iV16560) False) % 5.00/5.18 (Or (Eq (cC16 iV16560) False) % 5.00/5.18 (Or (Eq (cC8 iV16560) False) % 5.00/5.18 (Or (Eq (cC14 iV16560) False) % 5.00/5.18 (Or (Eq (cC18 iV16560) False) % 5.00/5.18 (Or (Eq (cowlThing (skS.0 7 a)) False) % 5.00/5.18 (Or (Eq (xsd_string (skS.0 8 a_1)) True) % 5.00/5.18 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) False)))))))) % 5.00/5.18 Clause #345 (by forward demodulation #[344, 33]): ∀ (a a_1 : Iota), % 5.00/5.18 Or (Eq True False) % 5.00/5.18 (Or (Eq (cC16 iV16560) False) % 5.00/5.18 (Or (Eq (cC8 iV16560) False) % 5.00/5.18 (Or (Eq (cC14 iV16560) False) % 5.00/5.18 (Or (Eq (cC18 iV16560) False) % 5.00/5.18 (Or (Eq (cowlThing (skS.0 7 a)) False) % 5.00/5.18 (Or (Eq (xsd_string (skS.0 8 a_1)) True) % 5.00/5.18 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) False)))))))) % 5.00/5.18 Clause #346 (by clausification #[345]): ∀ (a a_1 : Iota), % 5.00/5.18 Or (Eq (cC16 iV16560) False) % 5.00/5.18 (Or (Eq (cC8 iV16560) False) % 5.00/5.18 (Or (Eq (cC14 iV16560) False) % 5.00/5.18 (Or (Eq (cC18 iV16560) False) % 5.00/5.18 (Or (Eq (cowlThing (skS.0 7 a)) False) % 5.00/5.18 (Or (Eq (xsd_string (skS.0 8 a_1)) True) % 5.00/5.18 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) False))))))) % 5.00/5.18 Clause #347 (by forward demodulation #[346, 164]): ∀ (a a_1 : Iota), % 5.00/5.18 Or (Eq True False) % 5.00/5.18 (Or (Eq (cC8 iV16560) False) % 5.00/5.18 (Or (Eq (cC14 iV16560) False) % 5.00/5.18 (Or (Eq (cC18 iV16560) False) % 5.00/5.18 (Or (Eq (cowlThing (skS.0 7 a)) False) % 5.00/5.18 (Or (Eq (xsd_string (skS.0 8 a_1)) True) % 5.00/5.18 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) False))))))) % 5.00/5.18 Clause #348 (by clausification #[347]): ∀ (a a_1 : Iota), % 5.00/5.18 Or (Eq (cC8 iV16560) False) % 5.00/5.18 (Or (Eq (cC14 iV16560) False) % 5.00/5.18 (Or (Eq (cC18 iV16560) False) % 5.00/5.18 (Or (Eq (cowlThing (skS.0 7 a)) False) % 5.00/5.18 (Or (Eq (xsd_string (skS.0 8 a_1)) True) % 5.00/5.18 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) False)))))) % 5.00/5.18 Clause #349 (by forward demodulation #[348, 168]): ∀ (a a_1 : Iota), % 5.00/5.18 Or (Eq True False) % 5.00/5.18 (Or (Eq (cC14 iV16560) False) % 5.00/5.18 (Or (Eq (cC18 iV16560) False) % 5.00/5.18 (Or (Eq (cowlThing (skS.0 7 a)) False) % 5.00/5.18 (Or (Eq (xsd_string (skS.0 8 a_1)) True) % 5.00/5.18 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) False)))))) % 5.00/5.18 Clause #350 (by clausification #[349]): ∀ (a a_1 : Iota), % 5.00/5.18 Or (Eq (cC14 iV16560) False) % 5.00/5.18 (Or (Eq (cC18 iV16560) False) % 5.00/5.18 (Or (Eq (cowlThing (skS.0 7 a)) False) % 5.00/5.18 (Or (Eq (xsd_string (skS.0 8 a_1)) True) % 5.00/5.18 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) False))))) % 5.00/5.18 Clause #351 (by forward demodulation #[350, 116]): ∀ (a a_1 : Iota), % 5.00/5.18 Or (Eq True False) % 5.00/5.18 (Or (Eq (cC18 iV16560) False) % 5.00/5.18 (Or (Eq (cowlThing (skS.0 7 a)) False) % 5.00/5.18 (Or (Eq (xsd_string (skS.0 8 a_1)) True) % 5.00/5.18 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) False))))) % 5.00/5.18 Clause #352 (by clausification #[351]): ∀ (a a_1 : Iota), % 5.00/5.18 Or (Eq (cC18 iV16560) False) % 5.00/5.18 (Or (Eq (cowlThing (skS.0 7 a)) False) % 5.00/5.18 (Or (Eq (xsd_string (skS.0 8 a_1)) True) % 5.00/5.18 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) False)))) % 5.00/5.18 Clause #353 (by forward demodulation #[352, 156]): ∀ (a a_1 : Iota), % 5.00/5.18 Or (Eq True False) % 5.00/5.18 (Or (Eq (cowlThing (skS.0 7 a)) False) % 5.00/5.18 (Or (Eq (xsd_string (skS.0 8 a_1)) True) % 5.00/5.18 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) False)))) % 5.00/5.18 Clause #354 (by clausification #[353]): ∀ (a a_1 : Iota), % 5.00/5.18 Or (Eq (cowlThing (skS.0 7 a)) False) % 5.00/5.18 (Or (Eq (xsd_string (skS.0 8 a_1)) True) % 5.00/5.18 (Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) False))) % 5.00/5.19 Clause #355 (by forward demodulation #[354, 33]): ∀ (a a_1 : Iota), % 5.00/5.19 Or (Eq True False) % 5.00/5.19 (Or (Eq (xsd_string (skS.0 8 a)) True) % 5.00/5.19 (Or (Eq (cowlNothing (skS.0 7 a_1)) True) (Eq (xsd_integer (skS.0 8 a)) False))) % 5.00/5.19 Clause #356 (by clausification #[355]): ∀ (a a_1 : Iota), % 5.00/5.19 Or (Eq (xsd_string (skS.0 8 a)) True) (Or (Eq (cowlNothing (skS.0 7 a_1)) True) (Eq (xsd_integer (skS.0 8 a)) False)) % 5.00/5.19 Clause #366 (by clausification #[258]): ∀ (a a_1 : Iota), % 5.00/5.19 Or (Eq (cowlNothing (skS.0 7 a)) True) % 5.00/5.19 (Or (Eq (xsd_integer (skS.0 8 a_1)) True) (Eq (xsd_integer (skS.0 8 a_1)) True)) % 5.00/5.19 Clause #367 (by eliminate duplicate literals #[366]): ∀ (a a_1 : Iota), Or (Eq (cowlNothing (skS.0 7 a)) True) (Eq (xsd_integer (skS.0 8 a_1)) True) % 5.00/5.19 Clause #368 (by superposition #[367, 34]): ∀ (a : Iota), Or (Eq (xsd_integer (skS.0 8 a)) True) (Eq True False) % 5.00/5.19 Clause #370 (by clausification #[368]): ∀ (a : Iota), Eq (xsd_integer (skS.0 8 a)) True % 5.00/5.19 Clause #371 (by backward demodulation #[370, 356]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 8 a)) True) (Or (Eq (cowlNothing (skS.0 7 a_1)) True) (Eq True False)) % 5.00/5.19 Clause #428 (by clausification #[371]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 8 a)) True) (Eq (cowlNothing (skS.0 7 a_1)) True) % 5.00/5.19 Clause #430 (by superposition #[428, 34]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 8 a)) True) (Eq True False) % 5.00/5.19 Clause #431 (by clausification #[430]): ∀ (a : Iota), Eq (xsd_string (skS.0 8 a)) True % 5.00/5.19 Clause #432 (by superposition #[431, 43]): ∀ (a : Iota), Or (Eq True False) (Eq (xsd_integer (skS.0 8 a)) False) % 5.00/5.19 Clause #466 (by clausification #[432]): ∀ (a : Iota), Eq (xsd_integer (skS.0 8 a)) False % 5.00/5.19 Clause #467 (by superposition #[466, 370]): Eq False True % 5.00/5.19 Clause #468 (by clausification #[467]): False % 5.00/5.19 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------