%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO262^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n023.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 08:08:49 PM UTC 2025 % Result : Theorem 5.49s 5.69s % Output : Proof 5.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : SYO262^5 : TPTP v9.2.0. Released v4.0.0. % 0.10/0.12 % Command : duper %s % 0.11/0.32 % Computer : n023.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Fri Oct 3 13:16:08 EDT 2025 % 0.11/0.32 % CPUTime : % 5.49/5.69 SZS status Theorem for theBenchmark.p % 5.49/5.69 SZS output start Proof for theBenchmark.p % 5.49/5.69 Clause #0 (by assumption #[]): Eq % 5.49/5.69 (Not % 5.49/5.69 (Not % 5.49/5.69 (And (∀ (Xx : Iota), cP Xx (cE fun Xy => cP Xx Xy)) % 5.49/5.69 (∀ (Xf : Iota → Iota), Not (cP (cE fun Xx => Not (cP Xx (Xf Xx))) (Xf (cE fun Xx => Not (cP Xx (Xf Xx))))))))) % 5.49/5.69 True % 5.49/5.69 Clause #1 (by betaEtaReduce #[0]): Eq % 5.49/5.69 (Not % 5.49/5.69 (Not % 5.49/5.69 (And (∀ (Xx : Iota), cP Xx (cE (cP Xx))) % 5.49/5.69 (∀ (Xf : Iota → Iota), Not (cP (cE fun Xx => Not (cP Xx (Xf Xx))) (Xf (cE fun Xx => Not (cP Xx (Xf Xx))))))))) % 5.49/5.69 True % 5.49/5.69 Clause #2 (by clausification #[1]): Eq % 5.49/5.69 (Not % 5.49/5.69 (And (∀ (Xx : Iota), cP Xx (cE (cP Xx))) % 5.49/5.69 (∀ (Xf : Iota → Iota), Not (cP (cE fun Xx => Not (cP Xx (Xf Xx))) (Xf (cE fun Xx => Not (cP Xx (Xf Xx)))))))) % 5.49/5.69 False % 5.49/5.69 Clause #3 (by clausification #[2]): Eq % 5.49/5.69 (And (∀ (Xx : Iota), cP Xx (cE (cP Xx))) % 5.49/5.69 (∀ (Xf : Iota → Iota), Not (cP (cE fun Xx => Not (cP Xx (Xf Xx))) (Xf (cE fun Xx => Not (cP Xx (Xf Xx))))))) % 5.49/5.69 True % 5.49/5.69 Clause #4 (by clausification #[3]): Eq (∀ (Xf : Iota → Iota), Not (cP (cE fun Xx => Not (cP Xx (Xf Xx))) (Xf (cE fun Xx => Not (cP Xx (Xf Xx)))))) True % 5.49/5.69 Clause #5 (by clausification #[3]): Eq (∀ (Xx : Iota), cP Xx (cE (cP Xx))) True % 5.49/5.69 Clause #6 (by clausification #[4]): ∀ (a : Iota → Iota), Eq (Not (cP (cE fun Xx => Not (cP Xx (a Xx))) (a (cE fun Xx => Not (cP Xx (a Xx)))))) True % 5.49/5.69 Clause #7 (by clausification #[6]): ∀ (a : Iota → Iota), Eq (cP (cE fun Xx => Not (cP Xx (a Xx))) (a (cE fun Xx => Not (cP Xx (a Xx))))) False % 5.49/5.69 Clause #12 (by clausification #[5]): ∀ (a : Iota), Eq (cP a (cE (cP a))) True % 5.49/5.69 Clause #13 (by superposition #[12, 7]): Eq True False % 5.49/5.69 Clause #16 (by clausification #[13]): False % 5.49/5.69 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------