%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM647^1 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n028.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 07:56:55 PM UTC 2025 % Result : Theorem 5.19s 5.42s % Output : Proof 5.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : NUM647^1 : TPTP v9.2.0. Released v3.7.0. % 0.07/0.12 % Command : duper %s % 0.11/0.31 % Computer : n028.cluster.edu % 0.11/0.31 % Model : x86_64 x86_64 % 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.31 % Memory : 8042.1875MB % 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.31 % CPULimit : 300 % 0.11/0.31 % WCLimit : 300 % 0.11/0.31 % DateTime : Fri Oct 3 06:51:23 EDT 2025 % 0.15/0.31 % CPUTime : % 5.19/5.42 SZS status Theorem for theBenchmark.p % 5.19/5.42 SZS output start Proof for theBenchmark.p % 5.19/5.42 Clause #0 (by assumption #[]): Eq (Eq (pl x y) (pl x z)) True % 5.19/5.42 Clause #2 (by assumption #[]): Eq (∀ (Xx Xy Xz : nat), Ne Xy Xz → Ne (pl Xx Xy) (pl Xx Xz)) True % 5.19/5.42 Clause #3 (by assumption #[]): Eq (Not (Eq y z)) True % 5.19/5.42 Clause #8 (by clausification #[3]): Eq (Eq y z) False % 5.19/5.42 Clause #9 (by clausification #[8]): Ne y z % 5.19/5.42 Clause #10 (by clausification #[0]): Eq (pl x y) (pl x z) % 5.19/5.42 Clause #11 (by clausification #[2]): ∀ (a : nat), Eq (∀ (Xy Xz : nat), Ne Xy Xz → Ne (pl a Xy) (pl a Xz)) True % 5.19/5.42 Clause #12 (by clausification #[11]): ∀ (a a_1 : nat), Eq (∀ (Xz : nat), Ne a Xz → Ne (pl a_1 a) (pl a_1 Xz)) True % 5.19/5.42 Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 : nat), Eq (Ne a a_1 → Ne (pl a_2 a) (pl a_2 a_1)) True % 5.19/5.42 Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 : nat), Or (Eq (Ne a a_1) False) (Eq (Ne (pl a_2 a) (pl a_2 a_1)) True) % 5.19/5.42 Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 : nat), Or (Eq (Ne (pl a a_1) (pl a a_2)) True) (Eq a_1 a_2) % 5.19/5.42 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 : nat), Or (Eq a a_1) (Ne (pl a_2 a) (pl a_2 a_1)) % 5.19/5.42 Clause #18 (by superposition #[16, 10]): ∀ (a : nat), Or (Eq y a) (Ne (pl x z) (pl x a)) % 5.19/5.42 Clause #20 (by equality resolution #[18]): Eq y z % 5.19/5.42 Clause #21 (by forward contextual literal cutting #[20, 9]): False % 5.19/5.42 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------