%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KLE058+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 07:52:20 PM UTC 2025 % Result : Theorem 3.66s 3.86s % Output : Proof 3.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : KLE058+1 : TPTP v9.2.0. Released v4.0.0. % 0.11/0.13 % Command : duper %s % 0.13/0.34 % Computer : n001.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 16:56:08 EDT 2025 % 0.13/0.35 % CPUTime : % 3.66/3.86 SZS status Theorem for theBenchmark.p % 3.66/3.86 SZS output start Proof for theBenchmark.p % 3.66/3.86 Clause #0 (by assumption #[]): Eq (∀ (A B : Iota), Eq (addition A B) (addition B A)) True % 3.66/3.86 Clause #5 (by assumption #[]): Eq (∀ (A : Iota), Eq (multiplication A one) A) True % 3.66/3.86 Clause #12 (by assumption #[]): Eq (∀ (X0 : Iota), Eq (addition X0 (multiplication (domain X0) X0)) (multiplication (domain X0) X0)) True % 3.66/3.86 Clause #14 (by assumption #[]): Eq (∀ (X0 : Iota), Eq (addition (domain X0) one) one) True % 3.66/3.86 Clause #17 (by assumption #[]): Eq (Not (Eq (domain one) one)) True % 3.66/3.86 Clause #19 (by clausification #[17]): Eq (Eq (domain one) one) False % 3.66/3.86 Clause #20 (by clausification #[19]): Ne (domain one) one % 3.66/3.86 Clause #23 (by clausification #[5]): ∀ (a : Iota), Eq (Eq (multiplication a one) a) True % 3.66/3.86 Clause #24 (by clausification #[23]): ∀ (a : Iota), Eq (multiplication a one) a % 3.66/3.86 Clause #27 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B : Iota), Eq (addition a B) (addition B a)) True % 3.66/3.86 Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota), Eq (Eq (addition a a_1) (addition a_1 a)) True % 3.66/3.86 Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota), Eq (addition a a_1) (addition a_1 a) % 3.66/3.86 Clause #96 (by clausification #[14]): ∀ (a : Iota), Eq (Eq (addition (domain a) one) one) True % 3.66/3.86 Clause #97 (by clausification #[96]): ∀ (a : Iota), Eq (addition (domain a) one) one % 3.66/3.86 Clause #99 (by superposition #[97, 29]): ∀ (a : Iota), Eq (addition one (domain a)) one % 3.66/3.86 Clause #147 (by clausification #[12]): ∀ (a : Iota), Eq (Eq (addition a (multiplication (domain a) a)) (multiplication (domain a) a)) True % 3.66/3.86 Clause #148 (by clausification #[147]): ∀ (a : Iota), Eq (addition a (multiplication (domain a) a)) (multiplication (domain a) a) % 3.66/3.86 Clause #153 (by superposition #[148, 24]): Eq (addition one (domain one)) (domain one) % 3.66/3.86 Clause #156 (by superposition #[153, 99]): Eq (domain one) one % 3.66/3.86 Clause #160 (by forward contextual literal cutting #[156, 20]): False % 3.66/3.86 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------