%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEV393^5 : TPTP v9.2.0. Released v4.0.0. % 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 08:03:08 PM UTC 2025 % Result : Theorem 3.53s 3.70s % Output : Proof 3.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SEV393^5 : TPTP v9.2.0. Released v4.0.0. % 0.04/0.14 % 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 01:21:24 EDT 2025 % 0.14/0.35 % CPUTime : % 3.53/3.70 SZS status Theorem for theBenchmark.p % 3.53/3.70 SZS output start Proof for theBenchmark.p % 3.53/3.70 Clause #0 (by assumption #[]): Eq (Not ((Eq (fun Xz => Or (cR Xz) (cS Xz)) fun Xx => And (cR Xx) (cS Xx)) → ∀ (Xx : Iota), cR Xx → cS Xx)) True % 3.53/3.70 Clause #1 (by clausification #[0]): Eq ((Eq (fun Xz => Or (cR Xz) (cS Xz)) fun Xx => And (cR Xx) (cS Xx)) → ∀ (Xx : Iota), cR Xx → cS Xx) False % 3.53/3.70 Clause #2 (by clausification #[1]): Eq (Eq (fun Xz => Or (cR Xz) (cS Xz)) fun Xx => And (cR Xx) (cS Xx)) True % 3.53/3.70 Clause #3 (by clausification #[1]): Eq (∀ (Xx : Iota), cR Xx → cS Xx) False % 3.53/3.70 Clause #4 (by clausification #[2]): Eq (fun Xz => Or (cR Xz) (cS Xz)) fun Xx => And (cR Xx) (cS Xx) % 3.53/3.70 Clause #5 (by argument congruence #[4]): ∀ (a : Iota), Eq ((fun Xz => Or (cR Xz) (cS Xz)) a) ((fun Xx => And (cR Xx) (cS Xx)) a) % 3.53/3.70 Clause #6 (by clausification #[3]): ∀ (a : Iota), Eq (Not (cR (skS.0 0 a) → cS (skS.0 0 a))) True % 3.53/3.70 Clause #7 (by clausification #[6]): ∀ (a : Iota), Eq (cR (skS.0 0 a) → cS (skS.0 0 a)) False % 3.53/3.70 Clause #8 (by clausification #[7]): ∀ (a : Iota), Eq (cR (skS.0 0 a)) True % 3.53/3.70 Clause #9 (by clausification #[7]): ∀ (a : Iota), Eq (cS (skS.0 0 a)) False % 3.53/3.70 Clause #10 (by betaEtaReduce #[5]): ∀ (a : Iota), Eq (Or (cR a) (cS a)) (And (cR a) (cS a)) % 3.53/3.70 Clause #12 (by identity boolHoist #[10]): ∀ (a : Iota), Or (Eq (Or (cR a) False) (And (cR a) (cS a))) (Eq (cS a) True) % 3.53/3.70 Clause #16 (by bool simp #[12]): ∀ (a : Iota), Or (Eq (cR a) (And (cR a) (cS a))) (Eq (cS a) True) % 3.53/3.70 Clause #18 (by identity boolHoist #[16]): ∀ (a : Iota), Or (Eq (cS a) True) (Or (Eq (cR a) (And (cR a) False)) (Eq (cS a) True)) % 3.53/3.70 Clause #20 (by bool simp #[18]): ∀ (a : Iota), Or (Eq (cS a) True) (Or (Eq (cR a) False) (Eq (cS a) True)) % 3.53/3.70 Clause #21 (by eliminate duplicate literals #[20]): ∀ (a : Iota), Or (Eq (cS a) True) (Eq (cR a) False) % 3.53/3.70 Clause #22 (by superposition #[21, 8]): ∀ (a : Iota), Or (Eq (cS (skS.0 0 a)) True) (Eq False True) % 3.53/3.70 Clause #23 (by clausification #[22]): ∀ (a : Iota), Eq (cS (skS.0 0 a)) True % 3.53/3.70 Clause #24 (by superposition #[23, 9]): Eq True False % 3.53/3.70 Clause #26 (by clausification #[24]): False % 3.53/3.70 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------