%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO232^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n029.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 08:08:47 PM UTC 2025 % Result : Theorem 3.96s 4.16s % Output : Proof 3.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : SYO232^5 : TPTP v9.2.0. Released v4.0.0. % 0.08/0.15 % Command : duper %s % 0.14/0.36 % Computer : n029.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 13:18:23 EDT 2025 % 0.14/0.36 % CPUTime : % 3.96/4.16 SZS status Theorem for theBenchmark.p % 3.96/4.16 SZS output start Proof for theBenchmark.p % 3.96/4.16 Clause #0 (by assumption #[]): Eq (Not ((Eq y y → cB) → cP x → Exists fun Xx0 => cP Xx0)) True % 3.96/4.16 Clause #1 (by betaEtaReduce #[0]): Eq (Not ((Eq y y → cB) → cP x → Exists cP)) True % 3.96/4.16 Clause #2 (by clausification #[1]): Eq ((Eq y y → cB) → cP x → Exists cP) False % 3.96/4.16 Clause #4 (by clausification #[2]): Eq (cP x → Exists cP) False % 3.96/4.16 Clause #8 (by clausification #[4]): Eq (cP x) True % 3.96/4.16 Clause #9 (by clausification #[4]): Eq (Exists cP) False % 3.96/4.16 Clause #10 (by clausification #[9]): ∀ (a : a), Eq (cP a) False % 3.96/4.16 Clause #11 (by superposition #[10, 8]): Eq False True % 3.96/4.16 Clause #12 (by clausification #[11]): False % 3.96/4.16 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------