%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KLE138+1 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n028.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 07:52:26 PM UTC 2025 % Result : Theorem 3.74s 3.95s % Output : Proof 3.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : KLE138+1 : TPTP v9.2.0. Released v4.0.0. % 0.11/0.13 % Command : duper %s % 0.14/0.34 % Computer : n028.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Thu Oct 2 16:53:23 EDT 2025 % 0.14/0.35 % CPUTime : % 3.74/3.95 SZS status Theorem for theBenchmark.p % 3.74/3.95 SZS output start Proof for theBenchmark.p % 3.74/3.95 Clause #0 (by assumption #[]): Eq (∀ (A B : Iota), Eq (addition A B) (addition B A)) True % 3.74/3.95 Clause #2 (by assumption #[]): Eq (∀ (A : Iota), Eq (addition A zero) A) True % 3.74/3.95 Clause #9 (by assumption #[]): Eq (∀ (A : Iota), Eq (multiplication zero A) zero) True % 3.74/3.95 Clause #14 (by assumption #[]): Eq (∀ (A : Iota), Eq (strong_iteration A) (addition (multiplication A (strong_iteration A)) one)) True % 3.74/3.95 Clause #18 (by assumption #[]): Eq (Not (Eq (strong_iteration zero) one)) True % 3.74/3.95 Clause #19 (by clausification #[18]): Eq (Eq (strong_iteration zero) one) False % 3.74/3.95 Clause #20 (by clausification #[19]): Ne (strong_iteration zero) one % 3.74/3.95 Clause #21 (by clausification #[9]): ∀ (a : Iota), Eq (Eq (multiplication zero a) zero) True % 3.74/3.95 Clause #22 (by clausification #[21]): ∀ (a : Iota), Eq (multiplication zero a) zero % 3.74/3.95 Clause #27 (by clausification #[2]): ∀ (a : Iota), Eq (Eq (addition a zero) a) True % 3.74/3.95 Clause #28 (by clausification #[27]): ∀ (a : Iota), Eq (addition a zero) a % 3.74/3.95 Clause #29 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B : Iota), Eq (addition a B) (addition B a)) True % 3.74/3.95 Clause #30 (by clausification #[29]): ∀ (a a_1 : Iota), Eq (Eq (addition a a_1) (addition a_1 a)) True % 3.74/3.95 Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota), Eq (addition a a_1) (addition a_1 a) % 3.74/3.95 Clause #32 (by superposition #[31, 28]): ∀ (a : Iota), Eq (addition zero a) a % 3.74/3.95 Clause #209 (by clausification #[14]): ∀ (a : Iota), Eq (Eq (strong_iteration a) (addition (multiplication a (strong_iteration a)) one)) True % 3.74/3.95 Clause #210 (by clausification #[209]): ∀ (a : Iota), Eq (strong_iteration a) (addition (multiplication a (strong_iteration a)) one) % 3.74/3.95 Clause #219 (by superposition #[210, 22]): Eq (strong_iteration zero) (addition zero one) % 3.74/3.95 Clause #222 (by superposition #[219, 32]): Eq (strong_iteration zero) one % 3.74/3.95 Clause #228 (by forward contextual literal cutting #[222, 20]): False % 3.74/3.95 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------