%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM924+5 : TPTP v9.2.0. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n025.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 07:57:34 PM UTC 2025 % Result : Theorem 31.14s 31.35s % Output : Proof 31.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM924+5 : TPTP v9.2.0. Released v5.3.0. % 0.12/0.13 % Command : duper %s % 0.13/0.34 % Computer : n025.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 : Fri Oct 3 08:01:23 EDT 2025 % 0.13/0.34 % CPUTime : % 31.14/31.35 SZS status Theorem for theBenchmark.p % 31.14/31.35 SZS output start Proof for theBenchmark.p % 31.14/31.35 Clause #41 (by assumption #[]): Eq % 31.14/31.35 (ord_less int % 31.14/31.35 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int)) % 31.14/31.35 t) % 31.14/31.35 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int)) % 31.14/31.35 (zero_zero int))) % 31.14/31.35 True % 31.14/31.35 Clause #42 (by assumption #[]): Eq % 31.14/31.35 (Eq (plus_plus int (power_power int s (number_number_of nat (bit0 (bit1 pls)))) (one_one int)) % 31.14/31.35 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int)) % 31.14/31.35 t)) % 31.14/31.35 True % 31.14/31.35 Clause #61 (by assumption #[]): Eq (∀ (K_1 : Iota), Eq (number_number_of int K_1) K_1) True % 31.14/31.35 Clause #62 (by assumption #[]): Eq (∀ (Z W : Iota), Eq (times_times int Z W) (times_times int W Z)) True % 31.14/31.35 Clause #98 (by assumption #[]): Eq (∀ (W : Iota), Eq (times_times int pls W) pls) True % 31.14/31.35 Clause #130 (by assumption #[]): Eq (∀ (Z W : Iota), Eq (plus_plus int Z W) (plus_plus int W Z)) True % 31.14/31.35 Clause #131 (by assumption #[]): Eq (Eq (zero_zero int) (number_number_of int pls)) True % 31.14/31.35 Clause #149 (by assumption #[]): Eq % 31.14/31.35 (Not % 31.14/31.35 (ord_less int (plus_plus int (power_power int s (number_number_of nat (bit0 (bit1 pls)))) (one_one int)) % 31.14/31.35 (zero_zero int))) % 31.14/31.35 True % 31.14/31.35 Clause #195 (by clausification #[131]): Eq (zero_zero int) (number_number_of int pls) % 31.14/31.35 Clause #202 (by clausification #[61]): ∀ (a : Iota), Eq (Eq (number_number_of int a) a) True % 31.14/31.35 Clause #203 (by clausification #[202]): ∀ (a : Iota), Eq (number_number_of int a) a % 31.14/31.35 Clause #204 (by superposition #[203, 195]): Eq (zero_zero int) pls % 31.14/31.35 Clause #262 (by clausification #[98]): ∀ (a : Iota), Eq (Eq (times_times int pls a) pls) True % 31.14/31.35 Clause #263 (by clausification #[262]): ∀ (a : Iota), Eq (times_times int pls a) pls % 31.14/31.35 Clause #582 (by forward demodulation #[41, 204]): Eq % 31.14/31.35 (ord_less int % 31.14/31.35 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int)) % 31.14/31.35 t) % 31.14/31.35 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int)) % 31.14/31.35 pls)) % 31.14/31.35 True % 31.14/31.35 Clause #583 (by forward demodulation #[582, 203]): Eq % 31.14/31.35 (ord_less int % 31.14/31.35 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int)) % 31.14/31.35 t) % 31.14/31.35 (times_times int (plus_plus int (times_times int (bit0 (bit0 (bit1 pls))) m) (one_one int)) pls)) % 31.14/31.35 True % 31.14/31.35 Clause #584 (by forward demodulation #[583, 203]): Eq % 31.14/31.35 (ord_less int (times_times int (plus_plus int (times_times int (bit0 (bit0 (bit1 pls))) m) (one_one int)) t) % 31.14/31.35 (times_times int (plus_plus int (times_times int (bit0 (bit0 (bit1 pls))) m) (one_one int)) pls)) % 31.14/31.35 True % 31.14/31.35 Clause #602 (by clausification #[42]): Eq (plus_plus int (power_power int s (number_number_of nat (bit0 (bit1 pls)))) (one_one int)) % 31.14/31.35 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int)) t) % 31.14/31.35 Clause #603 (by forward demodulation #[602, 203]): Eq (plus_plus int (power_power int s (number_number_of nat (bit0 (bit1 pls)))) (one_one int)) % 31.14/31.35 (times_times int (plus_plus int (times_times int (bit0 (bit0 (bit1 pls))) m) (one_one int)) t) % 31.14/31.35 Clause #604 (by backward demodulation #[603, 584]): Eq % 31.14/31.35 (ord_less int (plus_plus int (power_power int s (number_number_of nat (bit0 (bit1 pls)))) (one_one int)) % 31.14/31.35 (times_times int (plus_plus int (times_times int (bit0 (bit0 (bit1 pls))) m) (one_one int)) pls)) % 31.14/31.35 True % 31.14/31.35 Clause #948 (by clausification #[62]): ∀ (a : Iota), Eq (∀ (W : Iota), Eq (times_times int a W) (times_times int W a)) True % 31.14/31.35 Clause #949 (by clausification #[948]): ∀ (a a_1 : Iota), Eq (Eq (times_times int a a_1) (times_times int a_1 a)) True % 31.14/31.35 Clause #950 (by clausification #[949]): ∀ (a a_1 : Iota), Eq (times_times int a a_1) (times_times int a_1 a) % 31.14/31.35 Clause #957 (by superposition #[950, 263]): ∀ (a : Iota), Eq (times_times int a pls) pls % 31.14/31.35 Clause #4933 (by clausification #[130]): ∀ (a : Iota), Eq (∀ (W : Iota), Eq (plus_plus int a W) (plus_plus int W a)) True % 31.20/31.39 Clause #4934 (by clausification #[4933]): ∀ (a a_1 : Iota), Eq (Eq (plus_plus int a a_1) (plus_plus int a_1 a)) True % 31.20/31.39 Clause #4935 (by clausification #[4934]): ∀ (a a_1 : Iota), Eq (plus_plus int a a_1) (plus_plus int a_1 a) % 31.20/31.39 Clause #5072 (by clausification #[149]): Eq % 31.20/31.39 (ord_less int (plus_plus int (power_power int s (number_number_of nat (bit0 (bit1 pls)))) (one_one int)) % 31.20/31.39 (zero_zero int)) % 31.20/31.39 False % 31.20/31.39 Clause #5073 (by forward demodulation #[5072, 204]): Eq (ord_less int (plus_plus int (power_power int s (number_number_of nat (bit0 (bit1 pls)))) (one_one int)) pls) False % 31.20/31.39 Clause #5074 (by forward demodulation #[5073, 4935]): Eq (ord_less int (plus_plus int (one_one int) (power_power int s (number_number_of nat (bit0 (bit1 pls))))) pls) False % 31.20/31.39 Clause #11254 (by forward demodulation #[604, 957]): Eq (ord_less int (plus_plus int (power_power int s (number_number_of nat (bit0 (bit1 pls)))) (one_one int)) pls) True % 31.20/31.39 Clause #11255 (by forward demodulation #[11254, 4935]): Eq (ord_less int (plus_plus int (one_one int) (power_power int s (number_number_of nat (bit0 (bit1 pls))))) pls) True % 31.20/31.39 Clause #11256 (by superposition #[11255, 5074]): Eq True False % 31.20/31.39 Clause #11281 (by clausification #[11256]): False % 31.20/31.39 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------