%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN731^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n028.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 08:08:03 PM UTC 2025 % Result : Theorem 3.35s 3.66s % Output : Proof 3.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.28 % Problem : SYN731^5 : TPTP v9.2.0. Released v4.0.0. % 0.11/0.29 % Command : duper %s % 0.14/0.49 % Computer : n028.cluster.edu % 0.14/0.49 % Model : x86_64 x86_64 % 0.14/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.49 % Memory : 8042.1875MB % 0.14/0.49 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.49 % CPULimit : 300 % 0.14/0.49 % WCLimit : 300 % 0.14/0.49 % DateTime : Thu Oct 2 15:37:53 EDT 2025 % 0.14/0.49 % CPUTime : % 3.35/3.66 SZS status Theorem for theBenchmark.p % 3.35/3.66 SZS output start Proof for theBenchmark.p % 3.35/3.66 Clause #0 (by assumption #[]): Eq (Not (Exists fun W => (∀ (X : Iota), Exists fun Y => cP W X Y) → Exists fun Z => cP Z Z W)) True % 3.35/3.66 Clause #1 (by betaEtaReduce #[0]): Eq (Not (Exists fun W => (∀ (X : Iota), Exists (cP W X)) → Exists fun Z => cP Z Z W)) True % 3.35/3.66 Clause #2 (by clausification #[1]): Eq (Exists fun W => (∀ (X : Iota), Exists (cP W X)) → Exists fun Z => cP Z Z W) False % 3.35/3.66 Clause #3 (by clausification #[2]): ∀ (a : Iota), Eq ((∀ (X : Iota), Exists (cP a X)) → Exists fun Z => cP Z Z a) False % 3.35/3.66 Clause #4 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (X : Iota), Exists (cP a X)) True % 3.35/3.66 Clause #5 (by clausification #[3]): ∀ (a : Iota), Eq (Exists fun Z => cP Z Z a) False % 3.35/3.66 Clause #6 (by clausification #[4]): ∀ (a a_1 : Iota), Eq (Exists (cP a a_1)) True % 3.35/3.66 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 : Iota), Eq (cP a a_1 (skS.0 0 a a_1 a_2)) True % 3.35/3.66 Clause #8 (by clausification #[5]): ∀ (a a_1 : Iota), Eq (cP a a a_1) False % 3.35/3.66 Clause #9 (by superposition #[8, 7]): Eq False True % 3.35/3.66 Clause #10 (by clausification #[9]): False % 3.35/3.66 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------