%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO146^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n016.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 08:08:39 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 % 0.07/0.13 % Problem : SYO146^5 : TPTP v9.2.0. Released v4.0.0. % 0.07/0.14 % Command : duper %s % 0.14/0.36 % Computer : n016.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Fri Oct 3 13:03:08 EDT 2025 % 0.14/0.36 % 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 ((∀ (Xx : Iota), Or (∀ (Xy : Iota), cP Xx Xy) (cQ Xx)) → Or (And (cP a b) (cP a c)) (cQ a))) True % 3.53/3.70 Clause #1 (by clausification #[0]): Eq ((∀ (Xx : Iota), Or (∀ (Xy : Iota), cP Xx Xy) (cQ Xx)) → Or (And (cP a b) (cP a c)) (cQ a)) False % 3.53/3.70 Clause #2 (by clausification #[1]): Eq (∀ (Xx : Iota), Or (∀ (Xy : Iota), cP Xx Xy) (cQ Xx)) True % 3.53/3.70 Clause #3 (by clausification #[1]): Eq (Or (And (cP a b) (cP a c)) (cQ a)) False % 3.53/3.70 Clause #4 (by clausification #[2]): ∀ (a : Iota), Eq (Or (∀ (Xy : Iota), cP a Xy) (cQ a)) True % 3.53/3.70 Clause #5 (by clausification #[4]): ∀ (a : Iota), Or (Eq (∀ (Xy : Iota), cP a Xy) True) (Eq (cQ a) True) % 3.53/3.70 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (cQ a) True) (Eq (cP a a_1) True) % 3.53/3.70 Clause #7 (by clausification #[3]): Eq (cQ a) False % 3.53/3.70 Clause #8 (by clausification #[3]): Eq (And (cP a b) (cP a c)) False % 3.53/3.70 Clause #9 (by clausification #[8]): Or (Eq (cP a b) False) (Eq (cP a c) False) % 3.53/3.70 Clause #10 (by superposition #[9, 6]): Or (Eq (cP a c) False) (Or (Eq (cQ a) True) (Eq False True)) % 3.53/3.70 Clause #11 (by clausification #[10]): Or (Eq (cP a c) False) (Eq (cQ a) True) % 3.53/3.70 Clause #12 (by forward demodulation #[11, 7]): Or (Eq (cP a c) False) (Eq False True) % 3.53/3.70 Clause #13 (by clausification #[12]): Eq (cP a c) False % 3.53/3.70 Clause #14 (by superposition #[13, 6]): Or (Eq (cQ a) True) (Eq False True) % 3.53/3.70 Clause #15 (by clausification #[14]): Eq (cQ a) True % 3.53/3.70 Clause #16 (by superposition #[15, 7]): Eq True False % 3.53/3.70 Clause #17 (by clausification #[16]): False % 3.53/3.70 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------