%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEV079^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n012.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 08:02:49 PM UTC 2025 % Result : Theorem 3.53s 3.78s % Output : Proof 3.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : SEV079^5 : TPTP v9.2.0. Released v4.0.0. % 0.08/0.14 % Command : duper %s % 0.13/0.35 % Computer : n012.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Fri Oct 3 01:24:08 EDT 2025 % 0.13/0.35 % CPUTime : % 3.53/3.78 SZS status Theorem for theBenchmark.p % 3.53/3.78 SZS output start Proof for theBenchmark.p % 3.53/3.78 Clause #0 (by assumption #[]): Eq (Not (∀ (X Y Z : Iota), And (Eq X Y) (Eq Y Z) → Eq X Z)) True % 3.53/3.78 Clause #1 (by clausification #[0]): Eq (∀ (X Y Z : Iota), And (Eq X Y) (Eq Y Z) → Eq X Z) False % 3.53/3.78 Clause #2 (by clausification #[1]): ∀ (a : Iota), Eq (Not (∀ (Y Z : Iota), And (Eq (skS.0 0 a) Y) (Eq Y Z) → Eq (skS.0 0 a) Z)) True % 3.53/3.78 Clause #3 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (Y Z : Iota), And (Eq (skS.0 0 a) Y) (Eq Y Z) → Eq (skS.0 0 a) Z) False % 3.53/3.78 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota), % 3.53/3.78 Eq (Not (∀ (Z : Iota), And (Eq (skS.0 0 a) (skS.0 1 a a_1)) (Eq (skS.0 1 a a_1) Z) → Eq (skS.0 0 a) Z)) True % 3.53/3.78 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), % 3.53/3.78 Eq (∀ (Z : Iota), And (Eq (skS.0 0 a) (skS.0 1 a a_1)) (Eq (skS.0 1 a a_1) Z) → Eq (skS.0 0 a) Z) False % 3.53/3.78 Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 : Iota), % 3.53/3.78 Eq % 3.53/3.78 (Not % 3.53/3.78 (And (Eq (skS.0 0 a) (skS.0 1 a a_1)) (Eq (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) → % 3.53/3.78 Eq (skS.0 0 a) (skS.0 2 a a_1 a_2))) % 3.53/3.78 True % 3.53/3.78 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 : Iota), % 3.53/3.78 Eq % 3.53/3.78 (And (Eq (skS.0 0 a) (skS.0 1 a a_1)) (Eq (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) → Eq (skS.0 0 a) (skS.0 2 a a_1 a_2)) % 3.53/3.78 False % 3.53/3.78 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 : Iota), Eq (And (Eq (skS.0 0 a) (skS.0 1 a a_1)) (Eq (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) True % 3.53/3.78 Clause #9 (by clausification #[7]): ∀ (a a_1 a_2 : Iota), Eq (Eq (skS.0 0 a) (skS.0 2 a a_1 a_2)) False % 3.53/3.78 Clause #10 (by clausification #[8]): ∀ (a a_1 a_2 : Iota), Eq (Eq (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) True % 3.53/3.78 Clause #11 (by clausification #[8]): ∀ (a a_1 : Iota), Eq (Eq (skS.0 0 a) (skS.0 1 a a_1)) True % 3.53/3.78 Clause #12 (by clausification #[10]): ∀ (a a_1 a_2 : Iota), Eq (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) % 3.53/3.78 Clause #13 (by clausification #[11]): ∀ (a a_1 : Iota), Eq (skS.0 0 a) (skS.0 1 a a_1) % 3.53/3.78 Clause #14 (by backward demodulation #[13, 12]): ∀ (a a_1 a_2 : Iota), Eq (skS.0 0 a) (skS.0 2 a a_1 a_2) % 3.53/3.78 Clause #15 (by clausification #[9]): ∀ (a a_1 a_2 : Iota), Ne (skS.0 0 a) (skS.0 2 a a_1 a_2) % 3.53/3.78 Clause #16 (by forward demodulation #[15, 14]): ∀ (a : Iota), Ne (skS.0 0 a) (skS.0 0 a) % 3.53/3.78 Clause #17 (by eliminate resolved literals #[16]): False % 3.53/3.78 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------