%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM387+1 : TPTP v9.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n020.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 07:56:25 PM UTC 2025 % Result : Theorem 3.74s 3.91s % Output : Proof 3.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : NUM387+1 : TPTP v9.2.0. Released v3.2.0. % 0.11/0.13 % Command : duper %s % 0.12/0.34 % Computer : n020.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Fri Oct 3 08:56:38 EDT 2025 % 0.12/0.34 % CPUTime : % 3.74/3.91 SZS status Theorem for theBenchmark.p % 3.74/3.91 SZS output start Proof for theBenchmark.p % 3.74/3.91 Clause #0 (by assumption #[]): Eq (∀ (A B : Iota), in A B → Not (in B A)) True % 3.74/3.91 Clause #25 (by assumption #[]): Eq (∀ (A : Iota), in A (succ A)) True % 3.74/3.91 Clause #26 (by assumption #[]): Eq (Not (∀ (A : Iota), Ne A (succ A))) True % 3.74/3.91 Clause #41 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B : Iota), in a B → Not (in B a)) True % 3.74/3.91 Clause #42 (by clausification #[41]): ∀ (a a_1 : Iota), Eq (in a a_1 → Not (in a_1 a)) True % 3.74/3.91 Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota), Or (Eq (in a a_1) False) (Eq (Not (in a_1 a)) True) % 3.74/3.91 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota), Or (Eq (in a a_1) False) (Eq (in a_1 a) False) % 3.74/3.91 Clause #47 (by clausification #[25]): ∀ (a : Iota), Eq (in a (succ a)) True % 3.74/3.91 Clause #48 (by superposition #[47, 44]): ∀ (a : Iota), Or (Eq True False) (Eq (in (succ a) a) False) % 3.74/3.91 Clause #62 (by clausification #[48]): ∀ (a : Iota), Eq (in (succ a) a) False % 3.74/3.91 Clause #91 (by clausification #[26]): Eq (∀ (A : Iota), Ne A (succ A)) False % 3.74/3.91 Clause #92 (by clausification #[91]): ∀ (a : Iota), Eq (Not (Ne (skS.0 2 a) (succ (skS.0 2 a)))) True % 3.74/3.91 Clause #93 (by clausification #[92]): ∀ (a : Iota), Eq (Ne (skS.0 2 a) (succ (skS.0 2 a))) False % 3.74/3.91 Clause #94 (by clausification #[93]): ∀ (a : Iota), Eq (skS.0 2 a) (succ (skS.0 2 a)) % 3.74/3.91 Clause #96 (by superposition #[94, 47]): ∀ (a : Iota), Eq (in (skS.0 2 a) (skS.0 2 a)) True % 3.74/3.91 Clause #97 (by superposition #[94, 62]): ∀ (a : Iota), Eq (in (skS.0 2 a) (skS.0 2 a)) False % 3.74/3.91 Clause #184 (by superposition #[96, 97]): Eq False True % 3.74/3.91 Clause #193 (by clausification #[184]): False % 3.74/3.91 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------