%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM660^1 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n002.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 3.53s 3.77s % Output : Proof 3.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : NUM660^1 : TPTP v9.2.0. Released v3.7.0. % 0.08/0.13 % Command : duper %s % 0.13/0.34 % Computer : n002.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 07:30:23 EDT 2025 % 0.13/0.34 % CPUTime : % 3.53/3.77 SZS status Theorem for theBenchmark.p % 3.53/3.77 SZS output start Proof for theBenchmark.p % 3.53/3.77 Clause #0 (by assumption #[]): Eq (Not (more x y) → Eq x y) True % 3.53/3.77 Clause #1 (by assumption #[]): Eq (∀ (Xx Xy : nat), more Xx Xy → less Xy Xx) True % 3.53/3.77 Clause #2 (by assumption #[]): Eq (Not (Not (less y x) → Eq y x)) True % 3.53/3.77 Clause #3 (by clausification #[0]): Or (Eq (Not (more x y)) False) (Eq (Eq x y) True) % 3.53/3.77 Clause #4 (by clausification #[3]): Or (Eq (Eq x y) True) (Eq (more x y) True) % 3.53/3.77 Clause #5 (by clausification #[4]): Or (Eq (more x y) True) (Eq x y) % 3.53/3.77 Clause #6 (by clausification #[1]): ∀ (a : nat), Eq (∀ (Xy : nat), more a Xy → less Xy a) True % 3.53/3.77 Clause #7 (by clausification #[6]): ∀ (a a_1 : nat), Eq (more a a_1 → less a_1 a) True % 3.53/3.77 Clause #8 (by clausification #[7]): ∀ (a a_1 : nat), Or (Eq (more a a_1) False) (Eq (less a_1 a) True) % 3.53/3.77 Clause #9 (by superposition #[8, 5]): Or (Eq (less y x) True) (Or (Eq False True) (Eq x y)) % 3.53/3.77 Clause #10 (by clausification #[2]): Eq (Not (less y x) → Eq y x) False % 3.53/3.77 Clause #11 (by clausification #[10]): Eq (Not (less y x)) True % 3.53/3.77 Clause #12 (by clausification #[10]): Eq (Eq y x) False % 3.53/3.77 Clause #13 (by clausification #[11]): Eq (less y x) False % 3.53/3.77 Clause #14 (by clausification #[12]): Ne y x % 3.53/3.77 Clause #17 (by clausification #[9]): Or (Eq (less y x) True) (Eq x y) % 3.53/3.77 Clause #18 (by forward contextual literal cutting #[17, 14]): Eq (less y x) True % 3.53/3.77 Clause #19 (by superposition #[18, 13]): Eq True False % 3.53/3.77 Clause #20 (by clausification #[19]): False % 3.53/3.77 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------