%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KLE076+1 : TPTP v9.2.0. Released v4.0.0. % 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 07:52:21 PM UTC 2025 % Result : Theorem 3.95s 4.10s % Output : Proof 3.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : KLE076+1 : TPTP v9.2.0. Released v4.0.0. % 0.12/0.14 % Command : duper %s % 0.14/0.35 % Computer : n010.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 16:42:38 EDT 2025 % 0.14/0.35 % CPUTime : % 3.95/4.10 SZS status Theorem for theBenchmark.p % 3.95/4.10 SZS output start Proof for theBenchmark.p % 3.95/4.10 Clause #9 (by assumption #[]): Eq (∀ (A : Iota), Eq (multiplication A zero) zero) True % 3.95/4.10 Clause #13 (by assumption #[]): Eq (∀ (X0 X1 : Iota), Eq (domain (multiplication X0 X1)) (domain (multiplication X0 (domain X1)))) True % 3.95/4.10 Clause #15 (by assumption #[]): Eq (Eq (domain zero) zero) True % 3.95/4.10 Clause #17 (by assumption #[]): Eq (Not (∀ (X0 : Iota), Eq (domain (multiplication X0 (domain zero))) zero)) True % 3.95/4.10 Clause #18 (by clausification #[15]): Eq (domain zero) zero % 3.95/4.10 Clause #23 (by clausification #[9]): ∀ (a : Iota), Eq (Eq (multiplication a zero) zero) True % 3.95/4.10 Clause #24 (by clausification #[23]): ∀ (a : Iota), Eq (multiplication a zero) zero % 3.95/4.10 Clause #171 (by clausification #[13]): ∀ (a : Iota), Eq (∀ (X1 : Iota), Eq (domain (multiplication a X1)) (domain (multiplication a (domain X1)))) True % 3.95/4.10 Clause #172 (by clausification #[171]): ∀ (a a_1 : Iota), Eq (Eq (domain (multiplication a a_1)) (domain (multiplication a (domain a_1)))) True % 3.95/4.10 Clause #173 (by clausification #[172]): ∀ (a a_1 : Iota), Eq (domain (multiplication a a_1)) (domain (multiplication a (domain a_1))) % 3.95/4.10 Clause #210 (by clausification #[17]): Eq (∀ (X0 : Iota), Eq (domain (multiplication X0 (domain zero))) zero) False % 3.95/4.10 Clause #211 (by clausification #[210]): ∀ (a : Iota), Eq (Not (Eq (domain (multiplication (skS.0 0 a) (domain zero))) zero)) True % 3.95/4.10 Clause #212 (by clausification #[211]): ∀ (a : Iota), Eq (Eq (domain (multiplication (skS.0 0 a) (domain zero))) zero) False % 3.95/4.10 Clause #213 (by clausification #[212]): ∀ (a : Iota), Ne (domain (multiplication (skS.0 0 a) (domain zero))) zero % 3.95/4.10 Clause #214 (by forward demodulation #[213, 173]): ∀ (a : Iota), Ne (domain (multiplication (skS.0 0 a) zero)) zero % 3.95/4.10 Clause #215 (by forward demodulation #[214, 24]): Ne (domain zero) zero % 3.95/4.10 Clause #216 (by forward demodulation #[215, 18]): Ne zero zero % 3.95/4.10 Clause #217 (by eliminate resolved literals #[216]): False % 3.95/4.10 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------