%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : PUZ088^5 : 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 07:58:20 PM UTC 2025 % Result : Theorem 3.83s 4.06s % Output : Proof 3.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : PUZ088^5 : TPTP v9.2.0. Released v4.0.0. % 0.12/0.14 % Command : duper %s % 0.15/0.35 % Computer : n002.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 300 % 0.15/0.35 % DateTime : Thu Oct 2 20:44:53 EDT 2025 % 0.15/0.35 % CPUTime : % 3.83/4.06 SZS status Theorem for theBenchmark.p % 3.83/4.06 SZS output start Proof for theBenchmark.p % 3.83/4.06 Clause #0 (by assumption #[]): Eq % 3.83/4.06 (Not % 3.83/4.06 (And (∀ (X : Iota), cLIKES X cBRUCE) (∀ (Y : Iota), (Exists fun Z => cLIKES Y Z) → cLIKES cLYLE Y) → % 3.83/4.06 Exists fun U => ∀ (V : Iota), cLIKES U V)) % 3.83/4.06 True % 3.83/4.06 Clause #1 (by betaEtaReduce #[0]): Eq % 3.83/4.06 (Not % 3.83/4.06 (And (∀ (X : Iota), cLIKES X cBRUCE) (∀ (Y : Iota), Exists (cLIKES Y) → cLIKES cLYLE Y) → % 3.83/4.06 Exists fun U => ∀ (V : Iota), cLIKES U V)) % 3.83/4.06 True % 3.83/4.06 Clause #2 (by clausification #[1]): Eq % 3.83/4.06 (And (∀ (X : Iota), cLIKES X cBRUCE) (∀ (Y : Iota), Exists (cLIKES Y) → cLIKES cLYLE Y) → % 3.83/4.06 Exists fun U => ∀ (V : Iota), cLIKES U V) % 3.83/4.06 False % 3.83/4.06 Clause #3 (by clausification #[2]): Eq (And (∀ (X : Iota), cLIKES X cBRUCE) (∀ (Y : Iota), Exists (cLIKES Y) → cLIKES cLYLE Y)) True % 3.83/4.06 Clause #4 (by clausification #[2]): Eq (Exists fun U => ∀ (V : Iota), cLIKES U V) False % 3.83/4.06 Clause #5 (by clausification #[3]): Eq (∀ (Y : Iota), Exists (cLIKES Y) → cLIKES cLYLE Y) True % 3.83/4.06 Clause #6 (by clausification #[3]): Eq (∀ (X : Iota), cLIKES X cBRUCE) True % 3.83/4.06 Clause #7 (by clausification #[5]): ∀ (a : Iota), Eq (Exists (cLIKES a) → cLIKES cLYLE a) True % 3.83/4.06 Clause #8 (by clausification #[7]): ∀ (a : Iota), Or (Eq (Exists (cLIKES a)) False) (Eq (cLIKES cLYLE a) True) % 3.83/4.06 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), Or (Eq (cLIKES cLYLE a) True) (Eq (cLIKES a a_1) False) % 3.83/4.06 Clause #10 (by clausification #[6]): ∀ (a : Iota), Eq (cLIKES a cBRUCE) True % 3.83/4.06 Clause #11 (by superposition #[10, 9]): ∀ (a : Iota), Or (Eq (cLIKES cLYLE a) True) (Eq True False) % 3.83/4.06 Clause #12 (by clausification #[11]): ∀ (a : Iota), Eq (cLIKES cLYLE a) True % 3.83/4.06 Clause #13 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (V : Iota), cLIKES a V) False % 3.83/4.06 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Eq (Not (cLIKES a (skS.0 0 a a_1))) True % 3.83/4.06 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Eq (cLIKES a (skS.0 0 a a_1)) False % 3.83/4.06 Clause #16 (by superposition #[15, 12]): Eq False True % 3.83/4.06 Clause #17 (by clausification #[16]): False % 3.83/4.06 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------