%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO139^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n015.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 08:08:38 PM UTC 2025 % Result : Theorem 5.27s 5.44s % Output : Proof 5.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SYO139^5 : TPTP v9.2.0. Released v4.0.0. % 0.04/0.13 % Command : duper %s % 0.14/0.34 % Computer : n015.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 14:09:53 EDT 2025 % 0.14/0.34 % CPUTime : % 5.27/5.44 SZS status Theorem for theBenchmark.p % 5.27/5.44 SZS output start Proof for theBenchmark.p % 5.27/5.44 Clause #0 (by assumption #[]): Eq (Not (Exists fun Xy => Or (And (Exists fun Xx => Or (cP Xx) (Not (cP Xx))) (cQ Xy)) (Not (cQ Xy)))) True % 5.27/5.44 Clause #1 (by clausification #[0]): Eq (Exists fun Xy => Or (And (Exists fun Xx => Or (cP Xx) (Not (cP Xx))) (cQ Xy)) (Not (cQ Xy))) False % 5.27/5.44 Clause #2 (by clausification #[1]): ∀ (a : Iota), Eq (Or (And (Exists fun Xx => Or (cP Xx) (Not (cP Xx))) (cQ a)) (Not (cQ a))) False % 5.27/5.44 Clause #3 (by clausification #[2]): ∀ (a : Iota), Eq (Not (cQ a)) False % 5.27/5.44 Clause #4 (by clausification #[2]): ∀ (a : Iota), Eq (And (Exists fun Xx => Or (cP Xx) (Not (cP Xx))) (cQ a)) False % 5.27/5.44 Clause #5 (by clausification #[3]): ∀ (a : Iota), Eq (cQ a) True % 5.27/5.44 Clause #6 (by clausification #[4]): ∀ (a : Iota), Or (Eq (Exists fun Xx => Or (cP Xx) (Not (cP Xx))) False) (Eq (cQ a) False) % 5.27/5.44 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Or (Eq (cQ a) False) (Eq (Or (cP a_1) (Not (cP a_1))) False) % 5.27/5.44 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq (cQ a) False) (Eq (Not (cP a_1)) False) % 5.27/5.44 Clause #9 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq (cQ a) False) (Eq (cP a_1) False) % 5.27/5.44 Clause #10 (by clausification #[8]): ∀ (a a_1 : Iota), Or (Eq (cQ a) False) (Eq (cP a_1) True) % 5.27/5.44 Clause #11 (by superposition #[10, 5]): ∀ (a : Iota), Or (Eq (cP a) True) (Eq False True) % 5.27/5.44 Clause #12 (by clausification #[11]): ∀ (a : Iota), Eq (cP a) True % 5.27/5.44 Clause #13 (by superposition #[9, 5]): ∀ (a : Iota), Or (Eq (cP a) False) (Eq False True) % 5.27/5.44 Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (cP a) False % 5.27/5.44 Clause #15 (by superposition #[14, 12]): Eq False True % 5.27/5.44 Clause #16 (by clausification #[15]): False % 5.27/5.44 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------