%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO136^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n002.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 3.32s 3.52s % Output : Proof 3.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SYO136^5 : TPTP v9.2.0. Released v4.0.0. % 0.03/0.12 % Command : duper %s % 0.11/0.33 % Computer : n002.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 300 % 0.11/0.33 % DateTime : Fri Oct 3 13:15:08 EDT 2025 % 0.11/0.33 % CPUTime : % 3.32/3.52 SZS status Theorem for theBenchmark.p % 3.32/3.52 SZS output start Proof for theBenchmark.p % 3.32/3.52 Clause #0 (by assumption #[]): Eq (Not ((((Exists fun Xx0 => cP Xx0) → cB) → cB) → cQ x → Exists fun Xx0 => cQ Xx0)) True % 3.32/3.52 Clause #1 (by betaEtaReduce #[0]): Eq (Not (((Exists cP → cB) → cB) → cQ x → Exists cQ)) True % 3.32/3.52 Clause #2 (by clausification #[1]): Eq (((Exists cP → cB) → cB) → cQ x → Exists cQ) False % 3.32/3.52 Clause #4 (by clausification #[2]): Eq (cQ x → Exists cQ) False % 3.32/3.52 Clause #9 (by clausification #[4]): Eq (cQ x) True % 3.32/3.52 Clause #10 (by clausification #[4]): Eq (Exists cQ) False % 3.32/3.52 Clause #11 (by clausification #[10]): ∀ (a : Iota), Eq (cQ a) False % 3.32/3.52 Clause #12 (by superposition #[11, 9]): Eq False True % 3.32/3.52 Clause #13 (by clausification #[12]): False % 3.32/3.52 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------