%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM659^1 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n009.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 07:56:58 PM UTC 2025 % Result : Theorem 3.38s 3.53s % Output : Proof 3.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.10 % Problem : NUM659^1 : TPTP v9.2.0. Released v3.7.0. % 0.06/0.11 % Command : duper %s % 0.11/0.32 % Computer : n009.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Fri Oct 3 07:45:38 EDT 2025 % 0.11/0.32 % CPUTime : % 3.38/3.53 SZS status Theorem for theBenchmark.p % 3.38/3.53 SZS output start Proof for theBenchmark.p % 3.38/3.53 Clause #0 (by assumption #[]): Eq (Not (Not (less x y) → Eq x y)) True % 3.38/3.53 Clause #2 (by assumption #[]): Eq (∀ (Xx Xy : nat), Ne Xx Xy → Not (more Xx Xy) → less Xx Xy) True % 3.38/3.53 Clause #3 (by assumption #[]): Eq (Not (more x y)) True % 3.38/3.53 Clause #8 (by clausification #[3]): Eq (more x y) False % 3.38/3.53 Clause #9 (by clausification #[0]): Eq (Not (less x y) → Eq x y) False % 3.38/3.53 Clause #10 (by clausification #[9]): Eq (Not (less x y)) True % 3.38/3.53 Clause #11 (by clausification #[9]): Eq (Eq x y) False % 3.38/3.53 Clause #12 (by clausification #[10]): Eq (less x y) False % 3.38/3.53 Clause #13 (by clausification #[11]): Ne x y % 3.38/3.53 Clause #14 (by clausification #[2]): ∀ (a : nat), Eq (∀ (Xy : nat), Ne a Xy → Not (more a Xy) → less a Xy) True % 3.38/3.53 Clause #15 (by clausification #[14]): ∀ (a a_1 : nat), Eq (Ne a a_1 → Not (more a a_1) → less a a_1) True % 3.38/3.53 Clause #16 (by clausification #[15]): ∀ (a a_1 : nat), Or (Eq (Ne a a_1) False) (Eq (Not (more a a_1) → less a a_1) True) % 3.38/3.53 Clause #17 (by clausification #[16]): ∀ (a a_1 : nat), Or (Eq (Not (more a a_1) → less a a_1) True) (Eq a a_1) % 3.38/3.53 Clause #18 (by clausification #[17]): ∀ (a a_1 : nat), Or (Eq a a_1) (Or (Eq (Not (more a a_1)) False) (Eq (less a a_1) True)) % 3.38/3.53 Clause #19 (by clausification #[18]): ∀ (a a_1 : nat), Or (Eq a a_1) (Or (Eq (less a a_1) True) (Eq (more a a_1) True)) % 3.38/3.53 Clause #30 (by superposition #[19, 12]): Or (Eq x y) (Or (Eq (more x y) True) (Eq True False)) % 3.38/3.53 Clause #33 (by clausification #[30]): Or (Eq x y) (Eq (more x y) True) % 3.38/3.53 Clause #34 (by forward contextual literal cutting #[33, 13]): Eq (more x y) True % 3.38/3.53 Clause #35 (by superposition #[34, 8]): Eq True False % 3.38/3.53 Clause #41 (by clausification #[35]): False % 3.38/3.53 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------