%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KLE003+1 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n020.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 07:52:14 PM UTC 2025 % Result : Theorem 3.70s 3.88s % Output : Proof 3.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE003+1 : TPTP v9.2.0. Released v4.0.0. % 0.13/0.13 % Command : duper %s % 0.13/0.34 % Computer : n020.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 16:42:53 EDT 2025 % 0.13/0.35 % CPUTime : % 3.70/3.88 SZS status Theorem for theBenchmark.p % 3.70/3.88 SZS output start Proof for theBenchmark.p % 3.70/3.88 Clause #3 (by assumption #[]): Eq (∀ (A : Iota), Eq (addition A A) A) True % 3.70/3.88 Clause #12 (by assumption #[]): Eq (Not (Iff (∀ (X0 : Iota), Eq (addition X0 X0) X0) (Eq (addition one one) one))) True % 3.70/3.88 Clause #19 (by clausification #[3]): ∀ (a : Iota), Eq (Eq (addition a a) a) True % 3.70/3.88 Clause #20 (by clausification #[19]): ∀ (a : Iota), Eq (addition a a) a % 3.70/3.88 Clause #156 (by clausification #[12]): Eq (Iff (∀ (X0 : Iota), Eq (addition X0 X0) X0) (Eq (addition one one) one)) False % 3.70/3.88 Clause #157 (by clausification #[156]): Or (Eq (∀ (X0 : Iota), Eq (addition X0 X0) X0) False) (Eq (Eq (addition one one) one) False) % 3.70/3.88 Clause #159 (by clausification #[157]): ∀ (a : Iota), % 3.70/3.88 Or (Eq (Eq (addition one one) one) False) (Eq (Not (Eq (addition (skS.0 0 a) (skS.0 0 a)) (skS.0 0 a))) True) % 3.70/3.88 Clause #160 (by clausification #[159]): ∀ (a : Iota), Or (Eq (Not (Eq (addition (skS.0 0 a) (skS.0 0 a)) (skS.0 0 a))) True) (Ne (addition one one) one) % 3.70/3.88 Clause #161 (by clausification #[160]): ∀ (a : Iota), Or (Ne (addition one one) one) (Eq (Eq (addition (skS.0 0 a) (skS.0 0 a)) (skS.0 0 a)) False) % 3.70/3.88 Clause #162 (by clausification #[161]): ∀ (a : Iota), Or (Ne (addition one one) one) (Ne (addition (skS.0 0 a) (skS.0 0 a)) (skS.0 0 a)) % 3.70/3.88 Clause #163 (by forward demodulation #[162, 20]): ∀ (a : Iota), Or (Ne one one) (Ne (addition (skS.0 0 a) (skS.0 0 a)) (skS.0 0 a)) % 3.70/3.88 Clause #164 (by eliminate resolved literals #[163]): ∀ (a : Iota), Ne (addition (skS.0 0 a) (skS.0 0 a)) (skS.0 0 a) % 3.70/3.88 Clause #165 (by forward demodulation #[164, 20]): ∀ (a : Iota), Ne (skS.0 0 a) (skS.0 0 a) % 3.70/3.88 Clause #166 (by eliminate resolved literals #[165]): False % 3.70/3.88 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------