%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO154^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n027.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 08:08:40 PM UTC 2025 % Result : Theorem 5.67s 5.88s % Output : Proof 5.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.10 % Problem : SYO154^5 : TPTP v9.2.0. Released v4.0.0. % 0.06/0.11 % Command : duper %s % 0.10/0.30 % Computer : n027.cluster.edu % 0.10/0.30 % Model : x86_64 x86_64 % 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.30 % Memory : 8042.1875MB % 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.30 % CPULimit : 300 % 0.10/0.30 % WCLimit : 300 % 0.10/0.30 % DateTime : Fri Oct 3 14:36:08 EDT 2025 % 0.10/0.31 % CPUTime : % 5.67/5.88 SZS status Theorem for theBenchmark.p % 5.67/5.88 SZS output start Proof for theBenchmark.p % 5.67/5.88 Clause #0 (by assumption #[]): Eq % 5.67/5.88 (Not % 5.67/5.88 (And (And (cP a) (∀ (Xx : Iota), cP Xx → cQ (f Xx))) (∀ (Xy : Iota), cQ Xy → cR (g Xy)) → Exists fun Xw => cR Xw)) % 5.67/5.88 True % 5.67/5.88 Clause #1 (by betaEtaReduce #[0]): Eq (Not (And (And (cP a) (∀ (Xx : Iota), cP Xx → cQ (f Xx))) (∀ (Xy : Iota), cQ Xy → cR (g Xy)) → Exists cR)) True % 5.67/5.88 Clause #2 (by clausification #[1]): Eq (And (And (cP a) (∀ (Xx : Iota), cP Xx → cQ (f Xx))) (∀ (Xy : Iota), cQ Xy → cR (g Xy)) → Exists cR) False % 5.67/5.88 Clause #3 (by clausification #[2]): Eq (And (And (cP a) (∀ (Xx : Iota), cP Xx → cQ (f Xx))) (∀ (Xy : Iota), cQ Xy → cR (g Xy))) True % 5.67/5.88 Clause #4 (by clausification #[2]): Eq (Exists cR) False % 5.67/5.88 Clause #5 (by clausification #[3]): Eq (∀ (Xy : Iota), cQ Xy → cR (g Xy)) True % 5.67/5.88 Clause #6 (by clausification #[3]): Eq (And (cP a) (∀ (Xx : Iota), cP Xx → cQ (f Xx))) True % 5.67/5.88 Clause #7 (by clausification #[5]): ∀ (a : Iota), Eq (cQ a → cR (g a)) True % 5.67/5.88 Clause #8 (by clausification #[7]): ∀ (a : Iota), Or (Eq (cQ a) False) (Eq (cR (g a)) True) % 5.67/5.88 Clause #9 (by clausification #[4]): ∀ (a : Iota), Eq (cR a) False % 5.67/5.88 Clause #10 (by clausification #[6]): Eq (∀ (Xx : Iota), cP Xx → cQ (f Xx)) True % 5.67/5.88 Clause #11 (by clausification #[6]): Eq (cP a) True % 5.67/5.88 Clause #12 (by clausification #[10]): ∀ (a : Iota), Eq (cP a → cQ (f a)) True % 5.67/5.88 Clause #13 (by clausification #[12]): ∀ (a : Iota), Or (Eq (cP a) False) (Eq (cQ (f a)) True) % 5.67/5.88 Clause #14 (by superposition #[11, 13]): Or (Eq (cQ (f a)) True) (Eq False True) % 5.67/5.88 Clause #15 (by clausification #[14]): Eq (cQ (f a)) True % 5.67/5.88 Clause #16 (by superposition #[15, 8]): Or (Eq True False) (Eq (cR (g (f a))) True) % 5.67/5.88 Clause #17 (by clausification #[16]): Eq (cR (g (f a))) True % 5.67/5.88 Clause #18 (by superposition #[17, 9]): Eq True False % 5.67/5.88 Clause #19 (by clausification #[18]): False % 5.67/5.88 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------