%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KLE051+1 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n029.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 07:52:19 PM UTC 2025 % Result : Theorem 3.66s 3.84s % Output : Proof 3.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : KLE051+1 : TPTP v9.2.0. Released v4.0.0. % 0.11/0.13 % Command : duper %s % 0.13/0.34 % Computer : n029.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 16:50:38 EDT 2025 % 0.13/0.34 % CPUTime : % 3.66/3.84 SZS status Theorem for theBenchmark.p % 3.66/3.84 SZS output start Proof for theBenchmark.p % 3.66/3.84 Clause #3 (by assumption #[]): Eq (∀ (A : Iota), Eq (addition A A) A) True % 3.66/3.84 Clause #17 (by assumption #[]): Eq (Not (∀ (X0 : Iota), Eq (addition X0 X0) X0)) True % 3.66/3.84 Clause #25 (by clausification #[3]): ∀ (a : Iota), Eq (Eq (addition a a) a) True % 3.66/3.84 Clause #26 (by clausification #[25]): ∀ (a : Iota), Eq (addition a a) a % 3.66/3.84 Clause #210 (by clausification #[17]): Eq (∀ (X0 : Iota), Eq (addition X0 X0) X0) False % 3.66/3.84 Clause #211 (by clausification #[210]): ∀ (a : Iota), Eq (Not (Eq (addition (skS.0 0 a) (skS.0 0 a)) (skS.0 0 a))) True % 3.66/3.84 Clause #212 (by clausification #[211]): ∀ (a : Iota), Eq (Eq (addition (skS.0 0 a) (skS.0 0 a)) (skS.0 0 a)) False % 3.66/3.84 Clause #213 (by clausification #[212]): ∀ (a : Iota), Ne (addition (skS.0 0 a) (skS.0 0 a)) (skS.0 0 a) % 3.66/3.84 Clause #214 (by forward demodulation #[213, 26]): ∀ (a : Iota), Ne (skS.0 0 a) (skS.0 0 a) % 3.66/3.84 Clause #215 (by eliminate resolved literals #[214]): False % 3.66/3.84 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------