%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM692^1 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n024.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 07:57:05 PM UTC 2025 % Result : Theorem 3.53s 3.75s % Output : Proof 3.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : NUM692^1 : TPTP v9.2.0. Released v3.7.0. % 0.08/0.14 % Command : duper %s % 0.14/0.35 % Computer : n024.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 : Fri Oct 3 08:26:23 EDT 2025 % 0.14/0.35 % CPUTime : % 3.53/3.75 SZS status Theorem for theBenchmark.p % 3.53/3.75 SZS output start Proof for theBenchmark.p % 3.53/3.75 Clause #0 (by assumption #[]): Eq (lessis x y) True % 3.53/3.75 Clause #1 (by assumption #[]): Eq (lessis z u) True % 3.53/3.75 Clause #2 (by assumption #[]): Eq (∀ (Xx Xy : nat), moreis Xx Xy → lessis Xy Xx) True % 3.53/3.75 Clause #3 (by assumption #[]): Eq (∀ (Xx Xy Xz Xu : nat), moreis Xx Xy → moreis Xz Xu → moreis (ts Xx Xz) (ts Xy Xu)) True % 3.53/3.75 Clause #4 (by assumption #[]): Eq (∀ (Xx Xy : nat), lessis Xx Xy → moreis Xy Xx) True % 3.53/3.75 Clause #5 (by assumption #[]): Eq (Not (lessis (ts x z) (ts y u))) True % 3.53/3.75 Clause #6 (by clausification #[2]): ∀ (a : nat), Eq (∀ (Xy : nat), moreis a Xy → lessis Xy a) True % 3.53/3.75 Clause #7 (by clausification #[6]): ∀ (a a_1 : nat), Eq (moreis a a_1 → lessis a_1 a) True % 3.53/3.75 Clause #8 (by clausification #[7]): ∀ (a a_1 : nat), Or (Eq (moreis a a_1) False) (Eq (lessis a_1 a) True) % 3.53/3.75 Clause #9 (by clausification #[4]): ∀ (a : nat), Eq (∀ (Xy : nat), lessis a Xy → moreis Xy a) True % 3.53/3.75 Clause #10 (by clausification #[9]): ∀ (a a_1 : nat), Eq (lessis a a_1 → moreis a_1 a) True % 3.53/3.75 Clause #11 (by clausification #[10]): ∀ (a a_1 : nat), Or (Eq (lessis a a_1) False) (Eq (moreis a_1 a) True) % 3.53/3.75 Clause #12 (by superposition #[11, 1]): Or (Eq (moreis u z) True) (Eq False True) % 3.53/3.75 Clause #13 (by superposition #[11, 0]): Or (Eq (moreis y x) True) (Eq False True) % 3.53/3.75 Clause #14 (by clausification #[13]): Eq (moreis y x) True % 3.53/3.75 Clause #16 (by clausification #[3]): ∀ (a : nat), Eq (∀ (Xy Xz Xu : nat), moreis a Xy → moreis Xz Xu → moreis (ts a Xz) (ts Xy Xu)) True % 3.53/3.75 Clause #17 (by clausification #[16]): ∀ (a a_1 : nat), Eq (∀ (Xz Xu : nat), moreis a a_1 → moreis Xz Xu → moreis (ts a Xz) (ts a_1 Xu)) True % 3.53/3.75 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : nat), Eq (∀ (Xu : nat), moreis a a_1 → moreis a_2 Xu → moreis (ts a a_2) (ts a_1 Xu)) True % 3.53/3.75 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 a_3 : nat), Eq (moreis a a_1 → moreis a_2 a_3 → moreis (ts a a_2) (ts a_1 a_3)) True % 3.53/3.75 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 a_3 : nat), Or (Eq (moreis a a_1) False) (Eq (moreis a_2 a_3 → moreis (ts a a_2) (ts a_1 a_3)) True) % 3.53/3.75 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 a_3 : nat), % 3.53/3.75 Or (Eq (moreis a a_1) False) (Or (Eq (moreis a_2 a_3) False) (Eq (moreis (ts a a_2) (ts a_1 a_3)) True)) % 3.53/3.75 Clause #22 (by superposition #[21, 14]): ∀ (a a_1 : nat), Or (Eq (moreis a a_1) False) (Or (Eq (moreis (ts y a) (ts x a_1)) True) (Eq False True)) % 3.53/3.75 Clause #23 (by clausification #[12]): Eq (moreis u z) True % 3.53/3.75 Clause #26 (by clausification #[5]): Eq (lessis (ts x z) (ts y u)) False % 3.53/3.75 Clause #27 (by clausification #[22]): ∀ (a a_1 : nat), Or (Eq (moreis a a_1) False) (Eq (moreis (ts y a) (ts x a_1)) True) % 3.53/3.75 Clause #29 (by superposition #[27, 23]): Or (Eq (moreis (ts y u) (ts x z)) True) (Eq False True) % 3.53/3.75 Clause #40 (by clausification #[29]): Eq (moreis (ts y u) (ts x z)) True % 3.53/3.75 Clause #41 (by superposition #[40, 8]): Or (Eq True False) (Eq (lessis (ts x z) (ts y u)) True) % 3.53/3.75 Clause #45 (by clausification #[41]): Eq (lessis (ts x z) (ts y u)) True % 3.53/3.75 Clause #46 (by superposition #[45, 26]): Eq True False % 3.53/3.75 Clause #53 (by clausification #[46]): False % 3.53/3.75 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------