%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KRS063+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n010.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 07:52:33 PM UTC 2025 % Result : Unsatisfiable 3.66s 3.85s % Output : Proof 3.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS063+1 : TPTP v9.2.0. Released v3.1.0. % 0.12/0.13 % Command : duper %s % 0.13/0.34 % Computer : n010.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Thu Oct 2 10:14:23 EDT 2025 % 0.13/0.35 % CPUTime : % 3.66/3.85 SZS status Theorem for theBenchmark.p % 3.66/3.85 SZS output start Proof for theBenchmark.p % 3.66/3.85 Clause #12 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True % 3.66/3.85 Clause #15 (by assumption #[]): Eq (∀ (X : Iota), Iff (cEuroMP X) (Exists fun Y => And (risEuroMPFrom X Y) (cowlThing Y))) True % 3.66/3.85 Clause #17 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (risEuroMPFrom X Y) (rhasEuroMP Y X)) True % 3.66/3.85 Clause #22 (by assumption #[]): Eq (Not (cEuroMP iKinnock)) True % 3.66/3.85 Clause #26 (by assumption #[]): Eq (rhasEuroMP iUK iKinnock) True % 3.66/3.85 Clause #33 (by clausification #[22]): Eq (cEuroMP iKinnock) False % 3.66/3.85 Clause #114 (by clausification #[12]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True % 3.66/3.85 Clause #116 (by clausification #[114]): ∀ (a : Iota), Eq (cowlThing a) True % 3.66/3.85 Clause #118 (by clausification #[17]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (risEuroMPFrom a Y) (rhasEuroMP Y a)) True % 3.66/3.85 Clause #119 (by clausification #[118]): ∀ (a a_1 : Iota), Eq (Iff (risEuroMPFrom a a_1) (rhasEuroMP a_1 a)) True % 3.66/3.85 Clause #120 (by clausification #[119]): ∀ (a a_1 : Iota), Or (Eq (risEuroMPFrom a a_1) True) (Eq (rhasEuroMP a_1 a) False) % 3.66/3.85 Clause #122 (by superposition #[120, 26]): Or (Eq (risEuroMPFrom iKinnock iUK) True) (Eq False True) % 3.66/3.85 Clause #129 (by clausification #[122]): Eq (risEuroMPFrom iKinnock iUK) True % 3.66/3.85 Clause #131 (by clausification #[15]): ∀ (a : Iota), Eq (Iff (cEuroMP a) (Exists fun Y => And (risEuroMPFrom a Y) (cowlThing Y))) True % 3.66/3.85 Clause #132 (by clausification #[131]): ∀ (a : Iota), Or (Eq (cEuroMP a) True) (Eq (Exists fun Y => And (risEuroMPFrom a Y) (cowlThing Y)) False) % 3.66/3.85 Clause #134 (by clausification #[132]): ∀ (a a_1 : Iota), Or (Eq (cEuroMP a) True) (Eq (And (risEuroMPFrom a a_1) (cowlThing a_1)) False) % 3.66/3.85 Clause #135 (by clausification #[134]): ∀ (a a_1 : Iota), Or (Eq (cEuroMP a) True) (Or (Eq (risEuroMPFrom a a_1) False) (Eq (cowlThing a_1) False)) % 3.66/3.85 Clause #136 (by forward demodulation #[135, 116]): ∀ (a a_1 : Iota), Or (Eq (cEuroMP a) True) (Or (Eq (risEuroMPFrom a a_1) False) (Eq True False)) % 3.66/3.85 Clause #137 (by clausification #[136]): ∀ (a a_1 : Iota), Or (Eq (cEuroMP a) True) (Eq (risEuroMPFrom a a_1) False) % 3.66/3.85 Clause #138 (by superposition #[137, 129]): Or (Eq (cEuroMP iKinnock) True) (Eq False True) % 3.66/3.85 Clause #139 (by clausification #[138]): Eq (cEuroMP iKinnock) True % 3.66/3.85 Clause #140 (by superposition #[139, 33]): Eq True False % 3.66/3.85 Clause #153 (by clausification #[140]): False % 3.66/3.85 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------