%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : REL014+1 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n001.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 07:58:34 PM UTC 2025 % Result : Theorem 15.05s 15.25s % Output : Proof 15.05s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : REL014+1 : TPTP v9.2.0. Released v4.0.0. % 0.12/0.13 % Command : duper %s % 0.14/0.35 % Computer : n001.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Thu Oct 2 12:10:23 EDT 2025 % 0.14/0.35 % CPUTime : % 15.05/15.25 SZS status Theorem for theBenchmark.p % 15.05/15.25 SZS output start Proof for theBenchmark.p % 15.05/15.25 Clause #5 (by assumption #[]): Eq (∀ (X0 : Iota), Eq (composition X0 one) X0) True % 15.05/15.25 Clause #7 (by assumption #[]): Eq (∀ (X0 : Iota), Eq (converse (converse X0)) X0) True % 15.05/15.25 Clause #9 (by assumption #[]): Eq (∀ (X0 X1 : Iota), Eq (converse (composition X0 X1)) (composition (converse X1) (converse X0))) True % 15.05/15.25 Clause #13 (by assumption #[]): Eq (Not (∀ (X0 : Iota), And (Eq (composition X0 one) X0) (Eq (composition one X0) X0))) True % 15.05/15.25 Clause #14 (by clausification #[7]): ∀ (a : Iota), Eq (Eq (converse (converse a)) a) True % 15.05/15.25 Clause #15 (by clausification #[14]): ∀ (a : Iota), Eq (converse (converse a)) a % 15.05/15.25 Clause #16 (by clausification #[5]): ∀ (a : Iota), Eq (Eq (composition a one) a) True % 15.05/15.25 Clause #17 (by clausification #[16]): ∀ (a : Iota), Eq (composition a one) a % 15.05/15.25 Clause #193 (by clausification #[9]): ∀ (a : Iota), Eq (∀ (X1 : Iota), Eq (converse (composition a X1)) (composition (converse X1) (converse a))) True % 15.05/15.25 Clause #194 (by clausification #[193]): ∀ (a a_1 : Iota), Eq (Eq (converse (composition a a_1)) (composition (converse a_1) (converse a))) True % 15.05/15.25 Clause #195 (by clausification #[194]): ∀ (a a_1 : Iota), Eq (converse (composition a a_1)) (composition (converse a_1) (converse a)) % 15.05/15.25 Clause #199 (by superposition #[195, 15]): ∀ (a a_1 : Iota), Eq (converse (composition (converse a) a_1)) (composition (converse a_1) a) % 15.05/15.25 Clause #240 (by clausification #[13]): Eq (∀ (X0 : Iota), And (Eq (composition X0 one) X0) (Eq (composition one X0) X0)) False % 15.05/15.25 Clause #241 (by clausification #[240]): ∀ (a : Iota), % 15.05/15.25 Eq (Not (And (Eq (composition (skS.0 0 a) one) (skS.0 0 a)) (Eq (composition one (skS.0 0 a)) (skS.0 0 a)))) True % 15.05/15.25 Clause #242 (by clausification #[241]): ∀ (a : Iota), % 15.05/15.25 Eq (And (Eq (composition (skS.0 0 a) one) (skS.0 0 a)) (Eq (composition one (skS.0 0 a)) (skS.0 0 a))) False % 15.05/15.25 Clause #243 (by clausification #[242]): ∀ (a : Iota), % 15.05/15.25 Or (Eq (Eq (composition (skS.0 0 a) one) (skS.0 0 a)) False) (Eq (Eq (composition one (skS.0 0 a)) (skS.0 0 a)) False) % 15.05/15.25 Clause #244 (by clausification #[243]): ∀ (a : Iota), % 15.05/15.25 Or (Eq (Eq (composition one (skS.0 0 a)) (skS.0 0 a)) False) (Ne (composition (skS.0 0 a) one) (skS.0 0 a)) % 15.05/15.25 Clause #245 (by clausification #[244]): ∀ (a : Iota), Or (Ne (composition (skS.0 0 a) one) (skS.0 0 a)) (Ne (composition one (skS.0 0 a)) (skS.0 0 a)) % 15.05/15.25 Clause #246 (by forward demodulation #[245, 17]): ∀ (a : Iota), Or (Ne (skS.0 0 a) (skS.0 0 a)) (Ne (composition one (skS.0 0 a)) (skS.0 0 a)) % 15.05/15.25 Clause #247 (by eliminate resolved literals #[246]): ∀ (a : Iota), Ne (composition one (skS.0 0 a)) (skS.0 0 a) % 15.05/15.25 Clause #4295 (by superposition #[199, 17]): ∀ (a : Iota), Eq (converse (converse a)) (composition (converse one) a) % 15.05/15.25 Clause #4297 (by forward demodulation #[4295, 15]): ∀ (a : Iota), Eq a (composition (converse one) a) % 15.05/15.25 Clause #4301 (by superposition #[4297, 17]): Eq one (converse one) % 15.05/15.25 Clause #4326 (by backward demodulation #[4301, 4297]): ∀ (a : Iota), Eq a (composition one a) % 15.05/15.25 Clause #4345 (by backward contextual literal cutting #[4326, 247]): False % 15.05/15.25 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------