%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEV392^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n002.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 08:03:07 PM UTC 2025 % Result : Theorem 3.51s 3.68s % Output : Proof 3.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SEV392^5 : TPTP v9.2.0. Released v4.0.0. % 0.03/0.13 % Command : duper %s % 0.14/0.34 % Computer : n002.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Fri Oct 3 01:02:38 EDT 2025 % 0.14/0.34 % CPUTime : % 3.51/3.68 SZS status Theorem for theBenchmark.p % 3.51/3.68 SZS output start Proof for theBenchmark.p % 3.51/3.68 Clause #0 (by assumption #[]): Eq (Not ((Eq (fun Xx => And (cR Xx) (cS Xx)) fun Xz => Or (cR Xz) (cS Xz)) → ∀ (Xx : Iota), cR Xx → cS Xx)) True % 3.51/3.68 Clause #1 (by clausification #[0]): Eq ((Eq (fun Xx => And (cR Xx) (cS Xx)) fun Xz => Or (cR Xz) (cS Xz)) → ∀ (Xx : Iota), cR Xx → cS Xx) False % 3.51/3.68 Clause #2 (by clausification #[1]): Eq (Eq (fun Xx => And (cR Xx) (cS Xx)) fun Xz => Or (cR Xz) (cS Xz)) True % 3.51/3.68 Clause #3 (by clausification #[1]): Eq (∀ (Xx : Iota), cR Xx → cS Xx) False % 3.51/3.68 Clause #4 (by clausification #[2]): Eq (fun Xx => And (cR Xx) (cS Xx)) fun Xz => Or (cR Xz) (cS Xz) % 3.51/3.68 Clause #5 (by argument congruence #[4]): ∀ (a : Iota), Eq ((fun Xx => And (cR Xx) (cS Xx)) a) ((fun Xz => Or (cR Xz) (cS Xz)) a) % 3.51/3.68 Clause #6 (by clausification #[3]): ∀ (a : Iota), Eq (Not (cR (skS.0 0 a) → cS (skS.0 0 a))) True % 3.51/3.68 Clause #7 (by clausification #[6]): ∀ (a : Iota), Eq (cR (skS.0 0 a) → cS (skS.0 0 a)) False % 3.51/3.68 Clause #8 (by clausification #[7]): ∀ (a : Iota), Eq (cR (skS.0 0 a)) True % 3.51/3.68 Clause #9 (by clausification #[7]): ∀ (a : Iota), Eq (cS (skS.0 0 a)) False % 3.51/3.68 Clause #10 (by betaEtaReduce #[5]): ∀ (a : Iota), Eq (And (cR a) (cS a)) (Or (cR a) (cS a)) % 3.51/3.68 Clause #12 (by identity boolHoist #[10]): ∀ (a : Iota), Or (Eq (And (cR a) False) (Or (cR a) (cS a))) (Eq (cS a) True) % 3.51/3.68 Clause #19 (by bool simp #[12]): ∀ (a : Iota), Or (Eq False (Or (cR a) (cS a))) (Eq (cS a) True) % 3.51/3.68 Clause #21 (by clausification #[19]): ∀ (a : Iota), Or (Eq (cS a) True) (Eq (cR a) False) % 3.51/3.68 Clause #22 (by superposition #[21, 8]): ∀ (a : Iota), Or (Eq (cS (skS.0 0 a)) True) (Eq False True) % 3.51/3.68 Clause #23 (by clausification #[22]): ∀ (a : Iota), Eq (cS (skS.0 0 a)) True % 3.51/3.68 Clause #24 (by superposition #[23, 9]): Eq True False % 3.51/3.68 Clause #26 (by clausification #[24]): False % 3.51/3.68 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------