%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWV573_5 : TPTP v9.2.0. Released v6.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n022.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 08:05:23 PM UTC 2025 % Result : Theorem 7.48s 7.66s % Output : Proof 7.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWV573_5 : TPTP v9.2.0. Released v6.0.0. % 0.07/0.13 % Command : duper %s % 0.13/0.34 % Computer : n022.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 12:58:53 EDT 2025 % 0.13/0.34 % CPUTime : % 7.48/7.66 SZS status Theorem for theBenchmark.p % 7.48/7.66 SZS output start Proof for theBenchmark.p % 7.48/7.66 Clause #4 (by assumption #[]): Eq (∀ (N : nat), Eq (re (semiring_1_of_nat complex1 N)) (semiring_1_of_nat real N)) True % 7.48/7.66 Clause #7 (by assumption #[]): Eq (∀ (N : nat), Eq (im (semiring_1_of_nat complex1 N)) (zero_zero real)) True % 7.48/7.66 Clause #24 (by assumption #[]): Eq (∀ (Z : complex1), Eq (complex (re Z) (im Z)) Z) True % 7.48/7.66 Clause #135 (by assumption #[]): Eq (Not (Eq (semiring_1_of_nat complex1 n) (complex (semiring_1_of_nat real n) (zero_zero real)))) True % 7.48/7.66 Clause #169 (by clausification #[4]): ∀ (a : nat), Eq (Eq (re (semiring_1_of_nat complex1 a)) (semiring_1_of_nat real a)) True % 7.48/7.66 Clause #170 (by clausification #[169]): ∀ (a : nat), Eq (re (semiring_1_of_nat complex1 a)) (semiring_1_of_nat real a) % 7.48/7.66 Clause #190 (by clausification #[7]): ∀ (a : nat), Eq (Eq (im (semiring_1_of_nat complex1 a)) (zero_zero real)) True % 7.48/7.66 Clause #191 (by clausification #[190]): ∀ (a : nat), Eq (im (semiring_1_of_nat complex1 a)) (zero_zero real) % 7.48/7.66 Clause #514 (by clausification #[24]): ∀ (a : complex1), Eq (Eq (complex (re a) (im a)) a) True % 7.48/7.66 Clause #515 (by clausification #[514]): ∀ (a : complex1), Eq (complex (re a) (im a)) a % 7.48/7.66 Clause #516 (by superposition #[515, 191]): ∀ (a : nat), Eq (complex (re (semiring_1_of_nat complex1 a)) (zero_zero real)) (semiring_1_of_nat complex1 a) % 7.48/7.66 Clause #545 (by forward demodulation #[516, 170]): ∀ (a : nat), Eq (complex (semiring_1_of_nat real a) (zero_zero real)) (semiring_1_of_nat complex1 a) % 7.48/7.66 Clause #1507 (by clausification #[135]): Eq (Eq (semiring_1_of_nat complex1 n) (complex (semiring_1_of_nat real n) (zero_zero real))) False % 7.48/7.66 Clause #1508 (by clausification #[1507]): Ne (semiring_1_of_nat complex1 n) (complex (semiring_1_of_nat real n) (zero_zero real)) % 7.48/7.66 Clause #1509 (by forward demodulation #[1508, 545]): Ne (semiring_1_of_nat complex1 n) (semiring_1_of_nat complex1 n) % 7.48/7.66 Clause #1510 (by eliminate resolved literals #[1509]): False % 7.48/7.66 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------