%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KRS160+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n005.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 4.02s 4.17s % Output : Proof 4.08s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : KRS160+1 : TPTP v9.2.0. Released v3.1.0. % 0.03/0.13 % Command : duper %s % 0.13/0.35 % Computer : n005.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 10:14:53 EDT 2025 % 0.13/0.35 % CPUTime : % 4.02/4.17 SZS status Theorem for theBenchmark.p % 4.02/4.17 SZS output start Proof for theBenchmark.p % 4.02/4.17 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True % 4.02/4.17 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) True % 4.02/4.17 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Iff (cC10 X) (And (cC4 X) (cC2 X))) True % 4.02/4.17 Clause #3 (by assumption #[]): Eq (∀ (X : Iota), Iff (cC12 X) (Exists fun Y => And (rR1 X Y) (cC10 Y))) True % 4.02/4.17 Clause #17 (by assumption #[]): Eq (rR1 iV21080 iV21081) True % 4.02/4.17 Clause #18 (by assumption #[]): Eq (cC4 iV21081) True % 4.02/4.17 Clause #20 (by assumption #[]): Eq (cC2 iV21081) True % 4.02/4.17 Clause #22 (by assumption #[]): Eq % 4.02/4.17 (Not % 4.02/4.17 (And % 4.02/4.17 (And % 4.02/4.17 (And % 4.02/4.17 (And % 4.02/4.17 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.02/4.17 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.02/4.17 (cowlThing iV21080)) % 4.02/4.17 (cC12 iV21080)) % 4.02/4.17 (cC10 iV21081)) % 4.02/4.17 (cowlThing iV21081))) % 4.02/4.17 True % 4.02/4.17 Clause #23 (by clausification #[0]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True % 4.02/4.17 Clause #24 (by clausification #[23]): ∀ (a : Iota), Eq (Not (cowlNothing a)) True % 4.02/4.17 Clause #25 (by clausification #[23]): ∀ (a : Iota), Eq (cowlThing a) True % 4.02/4.17 Clause #26 (by clausification #[24]): ∀ (a : Iota), Eq (cowlNothing a) False % 4.02/4.17 Clause #30 (by clausification #[1]): ∀ (a : Iota), Eq (Iff (xsd_string a) (Not (xsd_integer a))) True % 4.02/4.17 Clause #31 (by clausification #[30]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (Not (xsd_integer a)) False) % 4.02/4.17 Clause #32 (by clausification #[30]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (Not (xsd_integer a)) True) % 4.02/4.17 Clause #33 (by clausification #[31]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (xsd_integer a) True) % 4.02/4.17 Clause #34 (by clausification #[32]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (xsd_integer a) False) % 4.02/4.17 Clause #37 (by clausification #[2]): ∀ (a : Iota), Eq (Iff (cC10 a) (And (cC4 a) (cC2 a))) True % 4.02/4.17 Clause #38 (by clausification #[37]): ∀ (a : Iota), Or (Eq (cC10 a) True) (Eq (And (cC4 a) (cC2 a)) False) % 4.02/4.17 Clause #40 (by clausification #[38]): ∀ (a : Iota), Or (Eq (cC10 a) True) (Or (Eq (cC4 a) False) (Eq (cC2 a) False)) % 4.02/4.17 Clause #41 (by superposition #[40, 18]): Or (Eq (cC10 iV21081) True) (Or (Eq (cC2 iV21081) False) (Eq False True)) % 4.02/4.17 Clause #42 (by clausification #[41]): Or (Eq (cC10 iV21081) True) (Eq (cC2 iV21081) False) % 4.02/4.17 Clause #43 (by superposition #[42, 20]): Or (Eq (cC10 iV21081) True) (Eq False True) % 4.02/4.17 Clause #44 (by clausification #[3]): ∀ (a : Iota), Eq (Iff (cC12 a) (Exists fun Y => And (rR1 a Y) (cC10 Y))) True % 4.02/4.17 Clause #45 (by clausification #[44]): ∀ (a : Iota), Or (Eq (cC12 a) True) (Eq (Exists fun Y => And (rR1 a Y) (cC10 Y)) False) % 4.02/4.17 Clause #47 (by clausification #[45]): ∀ (a a_1 : Iota), Or (Eq (cC12 a) True) (Eq (And (rR1 a a_1) (cC10 a_1)) False) % 4.02/4.17 Clause #48 (by clausification #[47]): ∀ (a a_1 : Iota), Or (Eq (cC12 a) True) (Or (Eq (rR1 a a_1) False) (Eq (cC10 a_1) False)) % 4.02/4.17 Clause #49 (by superposition #[48, 17]): Or (Eq (cC12 iV21080) True) (Or (Eq (cC10 iV21081) False) (Eq False True)) % 4.02/4.17 Clause #50 (by clausification #[43]): Eq (cC10 iV21081) True % 4.02/4.17 Clause #52 (by clausification #[49]): Or (Eq (cC12 iV21080) True) (Eq (cC10 iV21081) False) % 4.02/4.17 Clause #53 (by forward demodulation #[52, 50]): Or (Eq (cC12 iV21080) True) (Eq True False) % 4.02/4.17 Clause #54 (by clausification #[53]): Eq (cC12 iV21080) True % 4.02/4.17 Clause #139 (by clausification #[22]): Eq % 4.02/4.17 (And % 4.02/4.17 (And % 4.02/4.17 (And % 4.02/4.17 (And % 4.02/4.17 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.02/4.17 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.02/4.17 (cowlThing iV21080)) % 4.02/4.17 (cC12 iV21080)) % 4.02/4.17 (cC10 iV21081)) % 4.02/4.17 (cowlThing iV21081)) % 4.02/4.17 False % 4.02/4.17 Clause #140 (by clausification #[139]): Or % 4.02/4.17 (Eq % 4.02/4.17 (And % 4.02/4.17 (And % 4.02/4.17 (And % 4.02/4.17 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.02/4.17 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.02/4.17 (cowlThing iV21080)) % 4.02/4.17 (cC12 iV21080)) % 4.02/4.17 (cC10 iV21081)) % 4.02/4.17 False) % 4.02/4.17 (Eq (cowlThing iV21081) False) % 4.02/4.19 Clause #141 (by clausification #[140]): Or (Eq (cowlThing iV21081) False) % 4.02/4.19 (Or % 4.02/4.19 (Eq % 4.02/4.19 (And % 4.02/4.19 (And % 4.02/4.19 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.02/4.19 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.02/4.19 (cowlThing iV21080)) % 4.02/4.19 (cC12 iV21080)) % 4.02/4.19 False) % 4.02/4.19 (Eq (cC10 iV21081) False)) % 4.02/4.19 Clause #142 (by clausification #[141]): Or (Eq (cowlThing iV21081) False) % 4.02/4.19 (Or (Eq (cC10 iV21081) False) % 4.02/4.19 (Or % 4.02/4.19 (Eq % 4.02/4.19 (And % 4.02/4.19 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.02/4.19 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.02/4.19 (cowlThing iV21080)) % 4.02/4.19 False) % 4.02/4.19 (Eq (cC12 iV21080) False))) % 4.02/4.19 Clause #143 (by clausification #[142]): Or (Eq (cowlThing iV21081) False) % 4.02/4.19 (Or (Eq (cC10 iV21081) False) % 4.02/4.19 (Or (Eq (cC12 iV21080) False) % 4.02/4.19 (Or % 4.02/4.19 (Eq % 4.02/4.19 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.02/4.19 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.02/4.19 False) % 4.02/4.19 (Eq (cowlThing iV21080) False)))) % 4.02/4.19 Clause #144 (by clausification #[143]): Or (Eq (cowlThing iV21081) False) % 4.02/4.19 (Or (Eq (cC10 iV21081) False) % 4.02/4.19 (Or (Eq (cC12 iV21080) False) % 4.02/4.19 (Or (Eq (cowlThing iV21080) False) % 4.02/4.19 (Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False) % 4.02/4.19 (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False))))) % 4.02/4.19 Clause #145 (by clausification #[144]): ∀ (a : Iota), % 4.02/4.19 Or (Eq (cowlThing iV21081) False) % 4.02/4.19 (Or (Eq (cC10 iV21081) False) % 4.02/4.19 (Or (Eq (cC12 iV21080) False) % 4.02/4.19 (Or (Eq (cowlThing iV21080) False) % 4.02/4.19 (Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False) % 4.02/4.19 (Eq (Not (And (cowlThing (skS.0 6 a)) (Not (cowlNothing (skS.0 6 a))))) True))))) % 4.02/4.19 Clause #146 (by clausification #[145]): ∀ (a a_1 : Iota), % 4.02/4.19 Or (Eq (cowlThing iV21081) False) % 4.02/4.19 (Or (Eq (cC10 iV21081) False) % 4.02/4.19 (Or (Eq (cC12 iV21080) False) % 4.02/4.19 (Or (Eq (cowlThing iV21080) False) % 4.02/4.19 (Or (Eq (Not (And (cowlThing (skS.0 6 a)) (Not (cowlNothing (skS.0 6 a))))) True) % 4.02/4.19 (Eq (Not (Iff (xsd_string (skS.0 7 a_1)) (Not (xsd_integer (skS.0 7 a_1))))) True))))) % 4.02/4.19 Clause #147 (by clausification #[146]): ∀ (a a_1 : Iota), % 4.02/4.19 Or (Eq (cowlThing iV21081) False) % 4.02/4.19 (Or (Eq (cC10 iV21081) False) % 4.02/4.19 (Or (Eq (cC12 iV21080) False) % 4.02/4.19 (Or (Eq (cowlThing iV21080) False) % 4.02/4.19 (Or (Eq (Not (Iff (xsd_string (skS.0 7 a)) (Not (xsd_integer (skS.0 7 a))))) True) % 4.02/4.19 (Eq (And (cowlThing (skS.0 6 a_1)) (Not (cowlNothing (skS.0 6 a_1)))) False))))) % 4.02/4.19 Clause #148 (by clausification #[147]): ∀ (a a_1 : Iota), % 4.02/4.19 Or (Eq (cowlThing iV21081) False) % 4.02/4.19 (Or (Eq (cC10 iV21081) False) % 4.02/4.19 (Or (Eq (cC12 iV21080) False) % 4.02/4.19 (Or (Eq (cowlThing iV21080) False) % 4.02/4.19 (Or (Eq (And (cowlThing (skS.0 6 a)) (Not (cowlNothing (skS.0 6 a)))) False) % 4.02/4.19 (Eq (Iff (xsd_string (skS.0 7 a_1)) (Not (xsd_integer (skS.0 7 a_1)))) False))))) % 4.02/4.19 Clause #149 (by clausification #[148]): ∀ (a a_1 : Iota), % 4.02/4.19 Or (Eq (cowlThing iV21081) False) % 4.02/4.19 (Or (Eq (cC10 iV21081) False) % 4.02/4.19 (Or (Eq (cC12 iV21080) False) % 4.02/4.19 (Or (Eq (cowlThing iV21080) False) % 4.02/4.19 (Or (Eq (Iff (xsd_string (skS.0 7 a)) (Not (xsd_integer (skS.0 7 a)))) False) % 4.02/4.19 (Or (Eq (cowlThing (skS.0 6 a_1)) False) (Eq (Not (cowlNothing (skS.0 6 a_1))) False)))))) % 4.02/4.19 Clause #150 (by clausification #[149]): ∀ (a a_1 : Iota), % 4.02/4.19 Or (Eq (cowlThing iV21081) False) % 4.02/4.19 (Or (Eq (cC10 iV21081) False) % 4.02/4.19 (Or (Eq (cC12 iV21080) False) % 4.02/4.19 (Or (Eq (cowlThing iV21080) False) % 4.02/4.19 (Or (Eq (cowlThing (skS.0 6 a)) False) % 4.02/4.19 (Or (Eq (Not (cowlNothing (skS.0 6 a))) False) % 4.02/4.19 (Or (Eq (xsd_string (skS.0 7 a_1)) False) (Eq (Not (xsd_integer (skS.0 7 a_1))) False))))))) % 4.02/4.19 Clause #151 (by clausification #[149]): ∀ (a a_1 : Iota), % 4.02/4.19 Or (Eq (cowlThing iV21081) False) % 4.02/4.19 (Or (Eq (cC10 iV21081) False) % 4.02/4.19 (Or (Eq (cC12 iV21080) False) % 4.02/4.19 (Or (Eq (cowlThing iV21080) False) % 4.02/4.19 (Or (Eq (cowlThing (skS.0 6 a)) False) % 4.02/4.21 (Or (Eq (Not (cowlNothing (skS.0 6 a))) False) % 4.02/4.21 (Or (Eq (xsd_string (skS.0 7 a_1)) True) (Eq (Not (xsd_integer (skS.0 7 a_1))) True))))))) % 4.02/4.21 Clause #152 (by clausification #[150]): ∀ (a a_1 : Iota), % 4.02/4.21 Or (Eq (cowlThing iV21081) False) % 4.02/4.21 (Or (Eq (cC10 iV21081) False) % 4.02/4.21 (Or (Eq (cC12 iV21080) False) % 4.02/4.21 (Or (Eq (cowlThing iV21080) False) % 4.02/4.21 (Or (Eq (cowlThing (skS.0 6 a)) False) % 4.02/4.21 (Or (Eq (xsd_string (skS.0 7 a_1)) False) % 4.02/4.21 (Or (Eq (Not (xsd_integer (skS.0 7 a_1))) False) (Eq (cowlNothing (skS.0 6 a)) True))))))) % 4.02/4.21 Clause #153 (by clausification #[152]): ∀ (a a_1 : Iota), % 4.02/4.21 Or (Eq (cowlThing iV21081) False) % 4.02/4.21 (Or (Eq (cC10 iV21081) False) % 4.02/4.21 (Or (Eq (cC12 iV21080) False) % 4.02/4.21 (Or (Eq (cowlThing iV21080) False) % 4.02/4.21 (Or (Eq (cowlThing (skS.0 6 a)) False) % 4.02/4.21 (Or (Eq (xsd_string (skS.0 7 a_1)) False) % 4.02/4.21 (Or (Eq (cowlNothing (skS.0 6 a)) True) (Eq (xsd_integer (skS.0 7 a_1)) True))))))) % 4.02/4.21 Clause #154 (by forward demodulation #[153, 25]): ∀ (a a_1 : Iota), % 4.02/4.21 Or (Eq True False) % 4.02/4.21 (Or (Eq (cC10 iV21081) False) % 4.02/4.21 (Or (Eq (cC12 iV21080) False) % 4.02/4.21 (Or (Eq (cowlThing iV21080) False) % 4.02/4.21 (Or (Eq (cowlThing (skS.0 6 a)) False) % 4.02/4.21 (Or (Eq (xsd_string (skS.0 7 a_1)) False) % 4.02/4.21 (Or (Eq (cowlNothing (skS.0 6 a)) True) (Eq (xsd_integer (skS.0 7 a_1)) True))))))) % 4.02/4.21 Clause #155 (by clausification #[154]): ∀ (a a_1 : Iota), % 4.02/4.21 Or (Eq (cC10 iV21081) False) % 4.02/4.21 (Or (Eq (cC12 iV21080) False) % 4.02/4.21 (Or (Eq (cowlThing iV21080) False) % 4.02/4.21 (Or (Eq (cowlThing (skS.0 6 a)) False) % 4.02/4.21 (Or (Eq (xsd_string (skS.0 7 a_1)) False) % 4.02/4.21 (Or (Eq (cowlNothing (skS.0 6 a)) True) (Eq (xsd_integer (skS.0 7 a_1)) True)))))) % 4.02/4.21 Clause #156 (by forward demodulation #[155, 50]): ∀ (a a_1 : Iota), % 4.02/4.21 Or (Eq True False) % 4.02/4.21 (Or (Eq (cC12 iV21080) False) % 4.02/4.21 (Or (Eq (cowlThing iV21080) False) % 4.02/4.21 (Or (Eq (cowlThing (skS.0 6 a)) False) % 4.02/4.21 (Or (Eq (xsd_string (skS.0 7 a_1)) False) % 4.02/4.21 (Or (Eq (cowlNothing (skS.0 6 a)) True) (Eq (xsd_integer (skS.0 7 a_1)) True)))))) % 4.02/4.22 Clause #157 (by clausification #[156]): ∀ (a a_1 : Iota), % 4.02/4.22 Or (Eq (cC12 iV21080) False) % 4.02/4.22 (Or (Eq (cowlThing iV21080) False) % 4.02/4.22 (Or (Eq (cowlThing (skS.0 6 a)) False) % 4.02/4.22 (Or (Eq (xsd_string (skS.0 7 a_1)) False) % 4.02/4.22 (Or (Eq (cowlNothing (skS.0 6 a)) True) (Eq (xsd_integer (skS.0 7 a_1)) True))))) % 4.02/4.22 Clause #158 (by forward demodulation #[157, 54]): ∀ (a a_1 : Iota), % 4.02/4.22 Or (Eq True False) % 4.02/4.22 (Or (Eq (cowlThing iV21080) False) % 4.02/4.22 (Or (Eq (cowlThing (skS.0 6 a)) False) % 4.02/4.22 (Or (Eq (xsd_string (skS.0 7 a_1)) False) % 4.02/4.22 (Or (Eq (cowlNothing (skS.0 6 a)) True) (Eq (xsd_integer (skS.0 7 a_1)) True))))) % 4.02/4.22 Clause #159 (by clausification #[158]): ∀ (a a_1 : Iota), % 4.02/4.22 Or (Eq (cowlThing iV21080) False) % 4.02/4.22 (Or (Eq (cowlThing (skS.0 6 a)) False) % 4.02/4.22 (Or (Eq (xsd_string (skS.0 7 a_1)) False) % 4.02/4.22 (Or (Eq (cowlNothing (skS.0 6 a)) True) (Eq (xsd_integer (skS.0 7 a_1)) True)))) % 4.02/4.22 Clause #160 (by forward demodulation #[159, 25]): ∀ (a a_1 : Iota), % 4.02/4.22 Or (Eq True False) % 4.02/4.22 (Or (Eq (cowlThing (skS.0 6 a)) False) % 4.02/4.22 (Or (Eq (xsd_string (skS.0 7 a_1)) False) % 4.02/4.22 (Or (Eq (cowlNothing (skS.0 6 a)) True) (Eq (xsd_integer (skS.0 7 a_1)) True)))) % 4.02/4.22 Clause #161 (by clausification #[160]): ∀ (a a_1 : Iota), % 4.02/4.22 Or (Eq (cowlThing (skS.0 6 a)) False) % 4.02/4.22 (Or (Eq (xsd_string (skS.0 7 a_1)) False) % 4.02/4.22 (Or (Eq (cowlNothing (skS.0 6 a)) True) (Eq (xsd_integer (skS.0 7 a_1)) True))) % 4.02/4.22 Clause #162 (by forward demodulation #[161, 25]): ∀ (a a_1 : Iota), % 4.02/4.22 Or (Eq True False) % 4.02/4.22 (Or (Eq (xsd_string (skS.0 7 a)) False) % 4.02/4.22 (Or (Eq (cowlNothing (skS.0 6 a_1)) True) (Eq (xsd_integer (skS.0 7 a)) True))) % 4.02/4.22 Clause #163 (by clausification #[162]): ∀ (a a_1 : Iota), % 4.02/4.22 Or (Eq (xsd_string (skS.0 7 a)) False) (Or (Eq (cowlNothing (skS.0 6 a_1)) True) (Eq (xsd_integer (skS.0 7 a)) True)) % 4.02/4.22 Clause #164 (by superposition #[163, 33]): ∀ (a a_1 : Iota), % 4.02/4.22 Or (Eq (cowlNothing (skS.0 6 a)) True) % 4.02/4.22 (Or (Eq (xsd_integer (skS.0 7 a_1)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 7 a_1)) True))) % 4.08/4.24 Clause #208 (by clausification #[151]): ∀ (a a_1 : Iota), % 4.08/4.24 Or (Eq (cowlThing iV21081) False) % 4.08/4.24 (Or (Eq (cC10 iV21081) False) % 4.08/4.24 (Or (Eq (cC12 iV21080) False) % 4.08/4.24 (Or (Eq (cowlThing iV21080) False) % 4.08/4.24 (Or (Eq (cowlThing (skS.0 6 a)) False) % 4.08/4.24 (Or (Eq (xsd_string (skS.0 7 a_1)) True) % 4.08/4.24 (Or (Eq (Not (xsd_integer (skS.0 7 a_1))) True) (Eq (cowlNothing (skS.0 6 a)) True))))))) % 4.08/4.24 Clause #209 (by clausification #[208]): ∀ (a a_1 : Iota), % 4.08/4.24 Or (Eq (cowlThing iV21081) False) % 4.08/4.24 (Or (Eq (cC10 iV21081) False) % 4.08/4.24 (Or (Eq (cC12 iV21080) False) % 4.08/4.24 (Or (Eq (cowlThing iV21080) False) % 4.08/4.24 (Or (Eq (cowlThing (skS.0 6 a)) False) % 4.08/4.24 (Or (Eq (xsd_string (skS.0 7 a_1)) True) % 4.08/4.24 (Or (Eq (cowlNothing (skS.0 6 a)) True) (Eq (xsd_integer (skS.0 7 a_1)) False))))))) % 4.08/4.24 Clause #210 (by forward demodulation #[209, 25]): ∀ (a a_1 : Iota), % 4.08/4.24 Or (Eq True False) % 4.08/4.24 (Or (Eq (cC10 iV21081) False) % 4.08/4.24 (Or (Eq (cC12 iV21080) False) % 4.08/4.24 (Or (Eq (cowlThing iV21080) False) % 4.08/4.24 (Or (Eq (cowlThing (skS.0 6 a)) False) % 4.08/4.24 (Or (Eq (xsd_string (skS.0 7 a_1)) True) % 4.08/4.24 (Or (Eq (cowlNothing (skS.0 6 a)) True) (Eq (xsd_integer (skS.0 7 a_1)) False))))))) % 4.08/4.24 Clause #211 (by clausification #[210]): ∀ (a a_1 : Iota), % 4.08/4.24 Or (Eq (cC10 iV21081) False) % 4.08/4.24 (Or (Eq (cC12 iV21080) False) % 4.08/4.24 (Or (Eq (cowlThing iV21080) False) % 4.08/4.24 (Or (Eq (cowlThing (skS.0 6 a)) False) % 4.08/4.24 (Or (Eq (xsd_string (skS.0 7 a_1)) True) % 4.08/4.24 (Or (Eq (cowlNothing (skS.0 6 a)) True) (Eq (xsd_integer (skS.0 7 a_1)) False)))))) % 4.08/4.24 Clause #212 (by forward demodulation #[211, 50]): ∀ (a a_1 : Iota), % 4.08/4.24 Or (Eq True False) % 4.08/4.24 (Or (Eq (cC12 iV21080) False) % 4.08/4.24 (Or (Eq (cowlThing iV21080) False) % 4.08/4.24 (Or (Eq (cowlThing (skS.0 6 a)) False) % 4.08/4.24 (Or (Eq (xsd_string (skS.0 7 a_1)) True) % 4.08/4.24 (Or (Eq (cowlNothing (skS.0 6 a)) True) (Eq (xsd_integer (skS.0 7 a_1)) False)))))) % 4.08/4.24 Clause #213 (by clausification #[212]): ∀ (a a_1 : Iota), % 4.08/4.24 Or (Eq (cC12 iV21080) False) % 4.08/4.24 (Or (Eq (cowlThing iV21080) False) % 4.08/4.24 (Or (Eq (cowlThing (skS.0 6 a)) False) % 4.08/4.24 (Or (Eq (xsd_string (skS.0 7 a_1)) True) % 4.08/4.24 (Or (Eq (cowlNothing (skS.0 6 a)) True) (Eq (xsd_integer (skS.0 7 a_1)) False))))) % 4.08/4.24 Clause #214 (by forward demodulation #[213, 54]): ∀ (a a_1 : Iota), % 4.08/4.24 Or (Eq True False) % 4.08/4.24 (Or (Eq (cowlThing iV21080) False) % 4.08/4.24 (Or (Eq (cowlThing (skS.0 6 a)) False) % 4.08/4.24 (Or (Eq (xsd_string (skS.0 7 a_1)) True) % 4.08/4.24 (Or (Eq (cowlNothing (skS.0 6 a)) True) (Eq (xsd_integer (skS.0 7 a_1)) False))))) % 4.08/4.24 Clause #215 (by clausification #[214]): ∀ (a a_1 : Iota), % 4.08/4.24 Or (Eq (cowlThing iV21080) False) % 4.08/4.24 (Or (Eq (cowlThing (skS.0 6 a)) False) % 4.08/4.24 (Or (Eq (xsd_string (skS.0 7 a_1)) True) % 4.08/4.24 (Or (Eq (cowlNothing (skS.0 6 a)) True) (Eq (xsd_integer (skS.0 7 a_1)) False)))) % 4.08/4.24 Clause #216 (by forward demodulation #[215, 25]): ∀ (a a_1 : Iota), % 4.08/4.24 Or (Eq True False) % 4.08/4.24 (Or (Eq (cowlThing (skS.0 6 a)) False) % 4.08/4.24 (Or (Eq (xsd_string (skS.0 7 a_1)) True) % 4.08/4.24 (Or (Eq (cowlNothing (skS.0 6 a)) True) (Eq (xsd_integer (skS.0 7 a_1)) False)))) % 4.08/4.24 Clause #217 (by clausification #[216]): ∀ (a a_1 : Iota), % 4.08/4.24 Or (Eq (cowlThing (skS.0 6 a)) False) % 4.08/4.24 (Or (Eq (xsd_string (skS.0 7 a_1)) True) % 4.08/4.24 (Or (Eq (cowlNothing (skS.0 6 a)) True) (Eq (xsd_integer (skS.0 7 a_1)) False))) % 4.08/4.24 Clause #218 (by forward demodulation #[217, 25]): ∀ (a a_1 : Iota), % 4.08/4.24 Or (Eq True False) % 4.08/4.24 (Or (Eq (xsd_string (skS.0 7 a)) True) % 4.08/4.24 (Or (Eq (cowlNothing (skS.0 6 a_1)) True) (Eq (xsd_integer (skS.0 7 a)) False))) % 4.08/4.24 Clause #219 (by clausification #[218]): ∀ (a a_1 : Iota), % 4.08/4.24 Or (Eq (xsd_string (skS.0 7 a)) True) (Or (Eq (cowlNothing (skS.0 6 a_1)) True) (Eq (xsd_integer (skS.0 7 a)) False)) % 4.08/4.24 Clause #226 (by clausification #[164]): ∀ (a a_1 : Iota), % 4.08/4.24 Or (Eq (cowlNothing (skS.0 6 a)) True) % 4.08/4.24 (Or (Eq (xsd_integer (skS.0 7 a_1)) True) (Eq (xsd_integer (skS.0 7 a_1)) True)) % 4.08/4.24 Clause #227 (by eliminate duplicate literals #[226]): ∀ (a a_1 : Iota), Or (Eq (cowlNothing (skS.0 6 a)) True) (Eq (xsd_integer (skS.0 7 a_1)) True) % 4.08/4.25 Clause #228 (by superposition #[227, 26]): ∀ (a : Iota), Or (Eq (xsd_integer (skS.0 7 a)) True) (Eq True False) % 4.08/4.25 Clause #230 (by clausification #[228]): ∀ (a : Iota), Eq (xsd_integer (skS.0 7 a)) True % 4.08/4.25 Clause #231 (by backward demodulation #[230, 219]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 7 a)) True) (Or (Eq (cowlNothing (skS.0 6 a_1)) True) (Eq True False)) % 4.08/4.25 Clause #232 (by clausification #[231]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 7 a)) True) (Eq (cowlNothing (skS.0 6 a_1)) True) % 4.08/4.25 Clause #234 (by superposition #[232, 26]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 7 a)) True) (Eq True False) % 4.08/4.25 Clause #235 (by clausification #[234]): ∀ (a : Iota), Eq (xsd_string (skS.0 7 a)) True % 4.08/4.25 Clause #236 (by superposition #[235, 34]): ∀ (a : Iota), Or (Eq True False) (Eq (xsd_integer (skS.0 7 a)) False) % 4.08/4.25 Clause #237 (by clausification #[236]): ∀ (a : Iota), Eq (xsd_integer (skS.0 7 a)) False % 4.08/4.25 Clause #238 (by superposition #[237, 230]): Eq False True % 4.08/4.25 Clause #239 (by clausification #[238]): False % 4.08/4.25 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------