%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO129^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n005.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 5.22s 5.47s % Output : Proof 5.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.02/0.07 % Problem : SYO129^5 : TPTP v9.2.0. Released v4.0.0. % 0.02/0.08 % Command : duper %s % 0.07/0.28 % Computer : n005.cluster.edu % 0.07/0.28 % Model : x86_64 x86_64 % 0.07/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.28 % Memory : 8042.1875MB % 0.07/0.28 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.28 % CPULimit : 300 % 0.07/0.28 % WCLimit : 300 % 0.07/0.28 % DateTime : Fri Oct 3 14:17:53 EDT 2025 % 0.07/0.28 % CPUTime : % 5.22/5.47 SZS status Theorem for theBenchmark.p % 5.22/5.47 SZS output start Proof for theBenchmark.p % 5.22/5.47 Clause #0 (by assumption #[]): Eq (Not ((∀ (Xx : Iota), cP Xx) → And (And (cP a) (cP b)) (cP c))) True % 5.22/5.47 Clause #1 (by clausification #[0]): Eq ((∀ (Xx : Iota), cP Xx) → And (And (cP a) (cP b)) (cP c)) False % 5.22/5.47 Clause #2 (by clausification #[1]): Eq (∀ (Xx : Iota), cP Xx) True % 5.22/5.47 Clause #3 (by clausification #[1]): Eq (And (And (cP a) (cP b)) (cP c)) False % 5.22/5.47 Clause #4 (by clausification #[2]): ∀ (a : Iota), Eq (cP a) True % 5.22/5.47 Clause #5 (by clausification #[3]): Or (Eq (And (cP a) (cP b)) False) (Eq (cP c) False) % 5.22/5.47 Clause #6 (by clausification #[5]): Or (Eq (cP c) False) (Or (Eq (cP a) False) (Eq (cP b) False)) % 5.22/5.47 Clause #7 (by forward demodulation #[6, 4]): Or (Eq (cP c) False) (Or (Eq True False) (Eq (cP b) False)) % 5.22/5.47 Clause #8 (by clausification #[7]): Or (Eq (cP c) False) (Eq (cP b) False) % 5.22/5.47 Clause #9 (by forward demodulation #[8, 4]): Or (Eq (cP c) False) (Eq True False) % 5.22/5.47 Clause #10 (by clausification #[9]): Eq (cP c) False % 5.22/5.47 Clause #11 (by superposition #[10, 4]): Eq False True % 5.22/5.47 Clause #12 (by clausification #[11]): False % 5.22/5.47 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------