%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUN004_5 : TPTP v9.2.0. Released v6.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n016.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 07:57:43 PM UTC 2025 % Result : Theorem 7.42s 7.62s % Output : Proof 7.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : NUN004_5 : TPTP v9.2.0. Released v6.0.0. % 0.11/0.14 % Command : duper %s % 0.14/0.35 % Computer : n016.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Thu Oct 2 11:39:23 EDT 2025 % 0.14/0.35 % CPUTime : % 7.42/7.62 SZS status Theorem for theBenchmark.p % 7.42/7.62 SZS output start Proof for theBenchmark.p % 7.42/7.62 Clause #0 (by assumption #[]): Eq % 7.42/7.62 (Eq % 7.42/7.62 (plus_plus int (power_power int v (number_number_of nat (bit0 (bit1 pls)))) % 7.42/7.62 (power_power int w (number_number_of nat (bit0 (bit1 pls))))) % 7.42/7.62 (times_times int (plus_plus int (one_one int) (semiring_1_of_nat int n)) m1)) % 7.42/7.62 True % 7.42/7.62 Clause #1 (by assumption #[]): Eq % 7.42/7.62 (Eq % 7.42/7.62 (plus_plus int (power_power int x (number_number_of nat (bit0 (bit1 pls)))) % 7.42/7.62 (power_power int y (number_number_of nat (bit0 (bit1 pls))))) % 7.42/7.62 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int)) % 7.42/7.62 (plus_plus int (one_one int) (semiring_1_of_nat int n)))) % 7.42/7.62 True % 7.42/7.62 Clause #114 (by assumption #[]): Eq % 7.42/7.62 (Not % 7.42/7.62 (Eq % 7.42/7.62 (times_times int % 7.42/7.62 (times_times int % 7.42/7.62 (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int)) % 7.42/7.62 (plus_plus int (one_one int) (semiring_1_of_nat int n))) % 7.42/7.62 (plus_plus int (power_power int v (number_number_of nat (bit0 (bit1 pls)))) % 7.42/7.62 (power_power int w (number_number_of nat (bit0 (bit1 pls)))))) % 7.42/7.62 (times_times int % 7.42/7.62 (plus_plus int (power_power int x (number_number_of nat (bit0 (bit1 pls)))) % 7.42/7.62 (power_power int y (number_number_of nat (bit0 (bit1 pls))))) % 7.42/7.62 (plus_plus int (power_power int v (number_number_of nat (bit0 (bit1 pls)))) % 7.42/7.62 (power_power int w (number_number_of nat (bit0 (bit1 pls)))))))) % 7.42/7.62 True % 7.42/7.62 Clause #115 (by clausification #[0]): Eq % 7.42/7.62 (plus_plus int (power_power int v (number_number_of nat (bit0 (bit1 pls)))) % 7.42/7.62 (power_power int w (number_number_of nat (bit0 (bit1 pls))))) % 7.42/7.62 (times_times int (plus_plus int (one_one int) (semiring_1_of_nat int n)) m1) % 7.42/7.62 Clause #116 (by clausification #[1]): Eq % 7.42/7.62 (plus_plus int (power_power int x (number_number_of nat (bit0 (bit1 pls)))) % 7.42/7.62 (power_power int y (number_number_of nat (bit0 (bit1 pls))))) % 7.42/7.62 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int)) % 7.42/7.62 (plus_plus int (one_one int) (semiring_1_of_nat int n))) % 7.42/7.62 Clause #1506 (by clausification #[114]): Eq % 7.42/7.62 (Eq % 7.42/7.62 (times_times int % 7.42/7.62 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int)) % 7.42/7.62 (plus_plus int (one_one int) (semiring_1_of_nat int n))) % 7.42/7.62 (plus_plus int (power_power int v (number_number_of nat (bit0 (bit1 pls)))) % 7.42/7.62 (power_power int w (number_number_of nat (bit0 (bit1 pls)))))) % 7.42/7.62 (times_times int % 7.42/7.62 (plus_plus int (power_power int x (number_number_of nat (bit0 (bit1 pls)))) % 7.42/7.62 (power_power int y (number_number_of nat (bit0 (bit1 pls))))) % 7.42/7.62 (plus_plus int (power_power int v (number_number_of nat (bit0 (bit1 pls)))) % 7.42/7.62 (power_power int w (number_number_of nat (bit0 (bit1 pls))))))) % 7.42/7.62 False % 7.42/7.62 Clause #1507 (by clausification #[1506]): Ne % 7.42/7.62 (times_times int % 7.42/7.62 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int)) % 7.42/7.62 (plus_plus int (one_one int) (semiring_1_of_nat int n))) % 7.42/7.62 (plus_plus int (power_power int v (number_number_of nat (bit0 (bit1 pls)))) % 7.42/7.62 (power_power int w (number_number_of nat (bit0 (bit1 pls)))))) % 7.42/7.62 (times_times int % 7.42/7.62 (plus_plus int (power_power int x (number_number_of nat (bit0 (bit1 pls)))) % 7.42/7.62 (power_power int y (number_number_of nat (bit0 (bit1 pls))))) % 7.42/7.62 (plus_plus int (power_power int v (number_number_of nat (bit0 (bit1 pls)))) % 7.42/7.62 (power_power int w (number_number_of nat (bit0 (bit1 pls)))))) % 7.42/7.62 Clause #1508 (by forward demodulation #[1507, 115]): Ne % 7.42/7.62 (times_times int % 7.42/7.62 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int)) % 7.42/7.62 (plus_plus int (one_one int) (semiring_1_of_nat int n))) % 7.42/7.62 (times_times int (plus_plus int (one_one int) (semiring_1_of_nat int n)) m1)) % 7.42/7.62 (times_times int % 7.42/7.62 (plus_plus int (power_power int x (number_number_of nat (bit0 (bit1 pls)))) % 7.42/7.62 (power_power int y (number_number_of nat (bit0 (bit1 pls))))) % 7.42/7.62 (plus_plus int (power_power int v (number_number_of nat (bit0 (bit1 pls)))) % 7.42/7.62 (power_power int w (number_number_of nat (bit0 (bit1 pls)))))) % 7.42/7.62 Clause #1509 (by forward demodulation #[1508, 116]): Ne % 7.42/7.62 (times_times int % 7.42/7.62 (plus_plus int (power_power int x (number_number_of nat (bit0 (bit1 pls)))) % 7.42/7.62 (power_power int y (number_number_of nat (bit0 (bit1 pls))))) % 7.42/7.62 (times_times int (plus_plus int (one_one int) (semiring_1_of_nat int n)) m1)) % 7.42/7.62 (times_times int % 7.42/7.62 (plus_plus int (power_power int x (number_number_of nat (bit0 (bit1 pls)))) % 7.42/7.62 (power_power int y (number_number_of nat (bit0 (bit1 pls))))) % 7.42/7.62 (plus_plus int (power_power int v (number_number_of nat (bit0 (bit1 pls)))) % 7.42/7.62 (power_power int w (number_number_of nat (bit0 (bit1 pls)))))) % 7.42/7.62 Clause #1510 (by forward demodulation #[1509, 115]): Ne % 7.42/7.62 (times_times int % 7.42/7.62 (plus_plus int (power_power int x (number_number_of nat (bit0 (bit1 pls)))) % 7.42/7.62 (power_power int y (number_number_of nat (bit0 (bit1 pls))))) % 7.42/7.62 (times_times int (plus_plus int (one_one int) (semiring_1_of_nat int n)) m1)) % 7.42/7.62 (times_times int % 7.42/7.62 (plus_plus int (power_power int x (number_number_of nat (bit0 (bit1 pls)))) % 7.42/7.62 (power_power int y (number_number_of nat (bit0 (bit1 pls))))) % 7.42/7.62 (times_times int (plus_plus int (one_one int) (semiring_1_of_nat int n)) m1)) % 7.42/7.62 Clause #1511 (by eliminate resolved literals #[1510]): False % 7.42/7.62 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------