%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM925+1 : TPTP v9.2.0. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n017.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 8.04s 8.26s % Output : Proof 8.09s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : NUM925+1 : TPTP v9.2.0. Released v5.3.0. % 0.04/0.14 % Command : duper %s % 0.13/0.35 % Computer : n017.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Fri Oct 3 08:44:38 EDT 2025 % 0.13/0.35 % CPUTime : % 8.04/8.26 SZS status Theorem for theBenchmark.p % 8.04/8.26 SZS output start Proof for theBenchmark.p % 8.04/8.26 Clause #0 (by assumption #[]): Eq (ord_less_int zero_zero_int (plus_plus_int one_one_int (semiri1621563631at_int n))) True % 8.04/8.26 Clause #7 (by assumption #[]): Eq % 8.04/8.26 (∀ (A_1 : Iota), % 8.04/8.26 Iff (Eq (power_power_int A_1 (number_number_of_nat (bit0 (bit1 pls)))) zero_zero_int) (Eq A_1 zero_zero_int)) % 8.04/8.26 True % 8.04/8.26 Clause #11 (by assumption #[]): Eq (Eq (plus_plus_nat one_one_nat one_one_nat) (number_number_of_nat (bit0 (bit1 pls)))) True % 8.04/8.26 Clause #32 (by assumption #[]): Eq (Not (ord_less_int pls pls)) True % 8.04/8.26 Clause #71 (by assumption #[]): Eq (Eq pls zero_zero_int) True % 8.04/8.26 Clause #73 (by assumption #[]): Eq (∀ (K : Iota), Eq (plus_plus_int K pls) K) True % 8.04/8.26 Clause #88 (by assumption #[]): Eq (∀ (K : Iota), Eq (bit1 K) (plus_plus_int (plus_plus_int one_one_int K) K)) True % 8.04/8.26 Clause #95 (by assumption #[]): Eq % 8.04/8.26 (Not % 8.04/8.26 (Ne % 8.04/8.26 (power_power_int (plus_plus_int one_one_int (semiri1621563631at_int n)) (number_number_of_nat (bit0 (bit1 pls)))) % 8.04/8.26 zero_zero_int)) % 8.04/8.26 True % 8.04/8.26 Clause #97 (by clausification #[71]): Eq pls zero_zero_int % 8.04/8.26 Clause #100 (by forward demodulation #[0, 97]): Eq (ord_less_int pls (plus_plus_int one_one_int (semiri1621563631at_int n))) True % 8.04/8.26 Clause #101 (by clausification #[32]): Eq (ord_less_int pls pls) False % 8.04/8.26 Clause #146 (by clausification #[73]): ∀ (a : Iota), Eq (Eq (plus_plus_int a pls) a) True % 8.04/8.26 Clause #147 (by clausification #[146]): ∀ (a : Iota), Eq (plus_plus_int a pls) a % 8.04/8.26 Clause #168 (by clausification #[7]): ∀ (a : Iota), % 8.04/8.26 Eq (Iff (Eq (power_power_int a (number_number_of_nat (bit0 (bit1 pls)))) zero_zero_int) (Eq a zero_zero_int)) True % 8.04/8.26 Clause #170 (by clausification #[168]): ∀ (a : Iota), % 8.04/8.26 Or (Eq (Eq (power_power_int a (number_number_of_nat (bit0 (bit1 pls)))) zero_zero_int) False) % 8.04/8.26 (Eq (Eq a zero_zero_int) True) % 8.04/8.26 Clause #206 (by clausification #[11]): Eq (plus_plus_nat one_one_nat one_one_nat) (number_number_of_nat (bit0 (bit1 pls))) % 8.04/8.26 Clause #2204 (by clausification #[88]): ∀ (a : Iota), Eq (Eq (bit1 a) (plus_plus_int (plus_plus_int one_one_int a) a)) True % 8.04/8.26 Clause #2205 (by clausification #[2204]): ∀ (a : Iota), Eq (bit1 a) (plus_plus_int (plus_plus_int one_one_int a) a) % 8.04/8.26 Clause #2206 (by superposition #[2205, 147]): Eq (bit1 pls) (plus_plus_int one_one_int pls) % 8.04/8.26 Clause #2233 (by superposition #[2206, 147]): Eq (bit1 pls) one_one_int % 8.04/8.26 Clause #2248 (by backward demodulation #[2233, 206]): Eq (plus_plus_nat one_one_nat one_one_nat) (number_number_of_nat (bit0 one_one_int)) % 8.04/8.26 Clause #2563 (by clausification #[95]): Eq % 8.04/8.26 (Ne (power_power_int (plus_plus_int one_one_int (semiri1621563631at_int n)) (number_number_of_nat (bit0 (bit1 pls)))) % 8.04/8.26 zero_zero_int) % 8.04/8.26 False % 8.04/8.26 Clause #2564 (by clausification #[2563]): Eq (power_power_int (plus_plus_int one_one_int (semiri1621563631at_int n)) (number_number_of_nat (bit0 (bit1 pls)))) % 8.04/8.26 zero_zero_int % 8.04/8.26 Clause #2565 (by forward demodulation #[2564, 2233]): Eq (power_power_int (plus_plus_int one_one_int (semiri1621563631at_int n)) (number_number_of_nat (bit0 one_one_int))) % 8.04/8.26 zero_zero_int % 8.04/8.26 Clause #2566 (by forward demodulation #[2565, 2248]): Eq (power_power_int (plus_plus_int one_one_int (semiri1621563631at_int n)) (plus_plus_nat one_one_nat one_one_nat)) % 8.04/8.26 zero_zero_int % 8.04/8.26 Clause #2567 (by forward demodulation #[2566, 97]): Eq (power_power_int (plus_plus_int one_one_int (semiri1621563631at_int n)) (plus_plus_nat one_one_nat one_one_nat)) pls % 8.04/8.26 Clause #2691 (by clausification #[170]): ∀ (a : Iota), % 8.04/8.26 Or (Eq (Eq a zero_zero_int) True) (Ne (power_power_int a (number_number_of_nat (bit0 (bit1 pls)))) zero_zero_int) % 8.04/8.26 Clause #2692 (by clausification #[2691]): ∀ (a : Iota), Or (Ne (power_power_int a (number_number_of_nat (bit0 (bit1 pls)))) zero_zero_int) (Eq a zero_zero_int) % 8.04/8.26 Clause #2693 (by forward demodulation #[2692, 2233]): ∀ (a : Iota), Or (Ne (power_power_int a (number_number_of_nat (bit0 one_one_int))) zero_zero_int) (Eq a zero_zero_int) % 8.04/8.26 Clause #2694 (by forward demodulation #[2693, 2248]): ∀ (a : Iota), Or (Ne (power_power_int a (plus_plus_nat one_one_nat one_one_nat)) zero_zero_int) (Eq a zero_zero_int) % 8.09/8.27 Clause #2695 (by forward demodulation #[2694, 97]): ∀ (a : Iota), Or (Ne (power_power_int a (plus_plus_nat one_one_nat one_one_nat)) pls) (Eq a zero_zero_int) % 8.09/8.27 Clause #2696 (by forward demodulation #[2695, 97]): ∀ (a : Iota), Or (Ne (power_power_int a (plus_plus_nat one_one_nat one_one_nat)) pls) (Eq a pls) % 8.09/8.27 Clause #2698 (by superposition #[2696, 2567]): Or (Ne pls pls) (Eq (plus_plus_int one_one_int (semiri1621563631at_int n)) pls) % 8.09/8.27 Clause #2705 (by eliminate resolved literals #[2698]): Eq (plus_plus_int one_one_int (semiri1621563631at_int n)) pls % 8.09/8.27 Clause #2706 (by backward demodulation #[2705, 100]): Eq (ord_less_int pls pls) True % 8.09/8.27 Clause #2722 (by superposition #[2706, 101]): Eq True False % 8.09/8.27 Clause #2735 (by clausification #[2722]): False % 8.09/8.27 SZS output end Proof for theBenchmark.p 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