%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KRS129+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n013.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 6.16s 6.37s % Output : Proof 6.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.02/0.13 % Problem : KRS129+1 : TPTP v9.2.0. Released v3.1.0. % 0.09/0.14 % Command : duper %s % 0.12/0.35 % Computer : n013.cluster.edu % 0.12/0.35 % Model : x86_64 x86_64 % 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.35 % Memory : 8042.1875MB % 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.35 % CPULimit : 300 % 0.12/0.35 % WCLimit : 300 % 0.12/0.35 % DateTime : Thu Oct 2 10:24:38 EDT 2025 % 0.12/0.35 % CPUTime : % 6.16/6.37 SZS status Theorem for theBenchmark.p % 6.16/6.37 SZS output start Proof for theBenchmark.p % 6.16/6.37 Clause #12 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True % 6.16/6.37 Clause #13 (by assumption #[]): Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) True % 6.16/6.37 Clause #15 (by assumption #[]): Eq (∀ (X : Iota), Iff (cEuroMP X) (Exists fun Y => And (risEuroMPFrom X Y) (cowlThing Y))) True % 6.16/6.37 Clause #17 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (risEuroMPFrom X Y) (rhasEuroMP Y X)) True % 6.16/6.37 Clause #25 (by assumption #[]): Eq (rhasEuroMP iUK iKinnock) True % 6.16/6.37 Clause #26 (by assumption #[]): Eq % 6.16/6.37 (Not % 6.16/6.37 (And % 6.16/6.37 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 6.16/6.37 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 6.16/6.37 (cEuroMP iKinnock))) % 6.16/6.37 True % 6.16/6.37 Clause #93 (by clausification #[13]): ∀ (a : Iota), Eq (Iff (xsd_string a) (Not (xsd_integer a))) True % 6.16/6.37 Clause #94 (by clausification #[93]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (Not (xsd_integer a)) False) % 6.16/6.37 Clause #95 (by clausification #[93]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (Not (xsd_integer a)) True) % 6.16/6.37 Clause #96 (by clausification #[94]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (xsd_integer a) True) % 6.16/6.37 Clause #97 (by clausification #[95]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (xsd_integer a) False) % 6.16/6.37 Clause #98 (by clausification #[12]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True % 6.16/6.37 Clause #99 (by clausification #[98]): ∀ (a : Iota), Eq (Not (cowlNothing a)) True % 6.16/6.37 Clause #100 (by clausification #[98]): ∀ (a : Iota), Eq (cowlThing a) True % 6.16/6.37 Clause #101 (by clausification #[99]): ∀ (a : Iota), Eq (cowlNothing a) False % 6.16/6.37 Clause #115 (by clausification #[17]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (risEuroMPFrom a Y) (rhasEuroMP Y a)) True % 6.16/6.37 Clause #116 (by clausification #[115]): ∀ (a a_1 : Iota), Eq (Iff (risEuroMPFrom a a_1) (rhasEuroMP a_1 a)) True % 6.16/6.37 Clause #117 (by clausification #[116]): ∀ (a a_1 : Iota), Or (Eq (risEuroMPFrom a a_1) True) (Eq (rhasEuroMP a_1 a) False) % 6.16/6.37 Clause #119 (by superposition #[117, 25]): Or (Eq (risEuroMPFrom iKinnock iUK) True) (Eq False True) % 6.16/6.37 Clause #120 (by clausification #[119]): Eq (risEuroMPFrom iKinnock iUK) True % 6.16/6.37 Clause #129 (by clausification #[15]): ∀ (a : Iota), Eq (Iff (cEuroMP a) (Exists fun Y => And (risEuroMPFrom a Y) (cowlThing Y))) True % 6.16/6.37 Clause #130 (by clausification #[129]): ∀ (a : Iota), Or (Eq (cEuroMP a) True) (Eq (Exists fun Y => And (risEuroMPFrom a Y) (cowlThing Y)) False) % 6.16/6.37 Clause #132 (by clausification #[130]): ∀ (a a_1 : Iota), Or (Eq (cEuroMP a) True) (Eq (And (risEuroMPFrom a a_1) (cowlThing a_1)) False) % 6.16/6.37 Clause #133 (by clausification #[132]): ∀ (a a_1 : Iota), Or (Eq (cEuroMP a) True) (Or (Eq (risEuroMPFrom a a_1) False) (Eq (cowlThing a_1) False)) % 6.16/6.37 Clause #134 (by forward demodulation #[133, 100]): ∀ (a a_1 : Iota), Or (Eq (cEuroMP a) True) (Or (Eq (risEuroMPFrom a a_1) False) (Eq True False)) % 6.16/6.37 Clause #135 (by clausification #[134]): ∀ (a a_1 : Iota), Or (Eq (cEuroMP a) True) (Eq (risEuroMPFrom a a_1) False) % 6.16/6.37 Clause #136 (by superposition #[135, 120]): Or (Eq (cEuroMP iKinnock) True) (Eq False True) % 6.16/6.37 Clause #137 (by clausification #[136]): Eq (cEuroMP iKinnock) True % 6.16/6.37 Clause #142 (by clausification #[26]): Eq % 6.16/6.37 (And % 6.16/6.37 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 6.16/6.37 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 6.16/6.37 (cEuroMP iKinnock)) % 6.16/6.37 False % 6.16/6.37 Clause #143 (by clausification #[142]): Or % 6.16/6.37 (Eq % 6.16/6.37 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 6.16/6.37 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 6.16/6.37 False) % 6.16/6.37 (Eq (cEuroMP iKinnock) False) % 6.16/6.37 Clause #144 (by clausification #[143]): Or (Eq (cEuroMP iKinnock) False) % 6.16/6.37 (Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False) % 6.16/6.37 (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)) % 6.16/6.37 Clause #145 (by clausification #[144]): ∀ (a : Iota), % 6.16/6.37 Or (Eq (cEuroMP iKinnock) False) % 6.16/6.37 (Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False) % 6.16/6.37 (Eq (Not (And (cowlThing (skS.0 1 a)) (Not (cowlNothing (skS.0 1 a))))) True)) % 6.16/6.43 Clause #146 (by clausification #[145]): ∀ (a a_1 : Iota), % 6.16/6.43 Or (Eq (cEuroMP iKinnock) False) % 6.16/6.43 (Or (Eq (Not (And (cowlThing (skS.0 1 a)) (Not (cowlNothing (skS.0 1 a))))) True) % 6.16/6.43 (Eq (Not (Iff (xsd_string (skS.0 2 a_1)) (Not (xsd_integer (skS.0 2 a_1))))) True)) % 6.16/6.43 Clause #147 (by clausification #[146]): ∀ (a a_1 : Iota), % 6.16/6.43 Or (Eq (cEuroMP iKinnock) False) % 6.16/6.43 (Or (Eq (Not (Iff (xsd_string (skS.0 2 a)) (Not (xsd_integer (skS.0 2 a))))) True) % 6.16/6.43 (Eq (And (cowlThing (skS.0 1 a_1)) (Not (cowlNothing (skS.0 1 a_1)))) False)) % 6.16/6.43 Clause #148 (by clausification #[147]): ∀ (a a_1 : Iota), % 6.16/6.43 Or (Eq (cEuroMP iKinnock) False) % 6.16/6.43 (Or (Eq (And (cowlThing (skS.0 1 a)) (Not (cowlNothing (skS.0 1 a)))) False) % 6.16/6.43 (Eq (Iff (xsd_string (skS.0 2 a_1)) (Not (xsd_integer (skS.0 2 a_1)))) False)) % 6.16/6.43 Clause #149 (by clausification #[148]): ∀ (a a_1 : Iota), % 6.16/6.43 Or (Eq (cEuroMP iKinnock) False) % 6.16/6.43 (Or (Eq (Iff (xsd_string (skS.0 2 a)) (Not (xsd_integer (skS.0 2 a)))) False) % 6.16/6.43 (Or (Eq (cowlThing (skS.0 1 a_1)) False) (Eq (Not (cowlNothing (skS.0 1 a_1))) False))) % 6.16/6.43 Clause #150 (by clausification #[149]): ∀ (a a_1 : Iota), % 6.16/6.43 Or (Eq (cEuroMP iKinnock) False) % 6.16/6.43 (Or (Eq (cowlThing (skS.0 1 a)) False) % 6.16/6.43 (Or (Eq (Not (cowlNothing (skS.0 1 a))) False) % 6.16/6.43 (Or (Eq (xsd_string (skS.0 2 a_1)) False) (Eq (Not (xsd_integer (skS.0 2 a_1))) False)))) % 6.16/6.43 Clause #151 (by clausification #[149]): ∀ (a a_1 : Iota), % 6.16/6.43 Or (Eq (cEuroMP iKinnock) False) % 6.16/6.43 (Or (Eq (cowlThing (skS.0 1 a)) False) % 6.16/6.43 (Or (Eq (Not (cowlNothing (skS.0 1 a))) False) % 6.16/6.43 (Or (Eq (xsd_string (skS.0 2 a_1)) True) (Eq (Not (xsd_integer (skS.0 2 a_1))) True)))) % 6.16/6.43 Clause #152 (by clausification #[150]): ∀ (a a_1 : Iota), % 6.16/6.43 Or (Eq (cEuroMP iKinnock) False) % 6.16/6.43 (Or (Eq (cowlThing (skS.0 1 a)) False) % 6.16/6.43 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 6.16/6.43 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) False) (Eq (cowlNothing (skS.0 1 a)) True)))) % 6.16/6.43 Clause #153 (by clausification #[152]): ∀ (a a_1 : Iota), % 6.16/6.43 Or (Eq (cEuroMP iKinnock) False) % 6.16/6.43 (Or (Eq (cowlThing (skS.0 1 a)) False) % 6.16/6.43 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 6.16/6.43 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) True)))) % 6.16/6.43 Clause #154 (by forward demodulation #[153, 137]): ∀ (a a_1 : Iota), % 6.16/6.43 Or (Eq True False) % 6.16/6.43 (Or (Eq (cowlThing (skS.0 1 a)) False) % 6.16/6.43 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 6.16/6.43 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) True)))) % 6.16/6.43 Clause #155 (by clausification #[154]): ∀ (a a_1 : Iota), % 6.16/6.43 Or (Eq (cowlThing (skS.0 1 a)) False) % 6.16/6.43 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 6.16/6.43 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) True))) % 6.16/6.43 Clause #156 (by forward demodulation #[155, 100]): ∀ (a a_1 : Iota), % 6.16/6.43 Or (Eq True False) % 6.16/6.43 (Or (Eq (xsd_string (skS.0 2 a)) False) % 6.16/6.43 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 2 a)) True))) % 6.16/6.43 Clause #157 (by clausification #[156]): ∀ (a a_1 : Iota), % 6.16/6.43 Or (Eq (xsd_string (skS.0 2 a)) False) (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 2 a)) True)) % 6.16/6.43 Clause #192 (by clausification #[151]): ∀ (a a_1 : Iota), % 6.16/6.43 Or (Eq (cEuroMP iKinnock) False) % 6.16/6.43 (Or (Eq (cowlThing (skS.0 1 a)) False) % 6.16/6.43 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 6.16/6.43 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) True) (Eq (cowlNothing (skS.0 1 a)) True)))) % 6.16/6.43 Clause #193 (by clausification #[192]): ∀ (a a_1 : Iota), % 6.16/6.43 Or (Eq (cEuroMP iKinnock) False) % 6.16/6.43 (Or (Eq (cowlThing (skS.0 1 a)) False) % 6.16/6.43 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 6.16/6.43 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) False)))) % 6.16/6.43 Clause #194 (by forward demodulation #[193, 137]): ∀ (a a_1 : Iota), % 6.16/6.43 Or (Eq True False) % 6.16/6.43 (Or (Eq (cowlThing (skS.0 1 a)) False) % 6.16/6.43 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 6.16/6.43 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) False)))) % 6.16/6.43 Clause #195 (by clausification #[194]): ∀ (a a_1 : Iota), % 6.16/6.43 Or (Eq (cowlThing (skS.0 1 a)) False) % 6.16/6.43 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 6.16/6.46 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) False))) % 6.16/6.46 Clause #196 (by forward demodulation #[195, 100]): ∀ (a a_1 : Iota), % 6.16/6.46 Or (Eq True False) % 6.16/6.46 (Or (Eq (xsd_string (skS.0 2 a)) True) % 6.16/6.46 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 2 a)) False))) % 6.16/6.46 Clause #197 (by clausification #[196]): ∀ (a a_1 : Iota), % 6.16/6.46 Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 2 a)) False)) % 6.16/6.46 Clause #198 (by superposition #[197, 96]): ∀ (a a_1 : Iota), % 6.16/6.46 Or (Eq (xsd_string (skS.0 2 a)) True) % 6.16/6.46 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Or (Eq (xsd_string (skS.0 2 a)) True) (Eq False True))) % 6.16/6.46 Clause #205 (by clausification #[198]): ∀ (a a_1 : Iota), % 6.16/6.46 Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq (xsd_string (skS.0 2 a)) True)) % 6.16/6.46 Clause #206 (by eliminate duplicate literals #[205]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Eq (cowlNothing (skS.0 1 a_1)) True) % 6.16/6.46 Clause #209 (by superposition #[206, 101]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Eq True False) % 6.16/6.46 Clause #210 (by clausification #[209]): ∀ (a : Iota), Eq (xsd_string (skS.0 2 a)) True % 6.16/6.46 Clause #211 (by backward demodulation #[210, 157]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) True)) % 6.16/6.46 Clause #212 (by superposition #[210, 97]): ∀ (a : Iota), Or (Eq True False) (Eq (xsd_integer (skS.0 2 a)) False) % 6.16/6.46 Clause #213 (by clausification #[212]): ∀ (a : Iota), Eq (xsd_integer (skS.0 2 a)) False % 6.16/6.46 Clause #224 (by clausification #[211]): ∀ (a a_1 : Iota), Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) True) % 6.16/6.46 Clause #226 (by superposition #[224, 213]): ∀ (a : Iota), Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq True False) % 6.16/6.46 Clause #227 (by clausification #[226]): ∀ (a : Iota), Eq (cowlNothing (skS.0 1 a)) True % 6.16/6.46 Clause #228 (by superposition #[227, 101]): Eq True False % 6.16/6.46 Clause #229 (by clausification #[228]): False % 6.16/6.46 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------