%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN958+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n022.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 08:08:18 PM UTC 2025 % Result : Theorem 5.59s 5.77s % Output : Proof 5.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.05/0.10 % Problem : SYN958+1 : TPTP v9.2.0. Released v3.1.0. % 0.05/0.11 % Command : duper %s % 0.10/0.31 % Computer : n022.cluster.edu % 0.10/0.31 % Model : x86_64 x86_64 % 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.31 % Memory : 8042.1875MB % 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.31 % CPULimit : 300 % 0.10/0.31 % WCLimit : 300 % 0.10/0.31 % DateTime : Thu Oct 2 15:46:53 EDT 2025 % 0.10/0.31 % CPUTime : % 5.59/5.77 SZS status Theorem for theBenchmark.p % 5.59/5.77 SZS output start Proof for theBenchmark.p % 5.59/5.77 Clause #0 (by assumption #[]): Eq (Not (And (Exists fun X => a X) (∀ (X : Iota), b X) → Exists fun X => And (a X) (b X))) True % 5.59/5.77 Clause #1 (by betaEtaReduce #[0]): Eq (Not (And (Exists a) (∀ (X : Iota), b X) → Exists fun X => And (a X) (b X))) True % 5.59/5.77 Clause #2 (by clausification #[1]): Eq (And (Exists a) (∀ (X : Iota), b X) → Exists fun X => And (a X) (b X)) False % 5.59/5.77 Clause #3 (by clausification #[2]): Eq (And (Exists a) (∀ (X : Iota), b X)) True % 5.59/5.77 Clause #4 (by clausification #[2]): Eq (Exists fun X => And (a X) (b X)) False % 5.59/5.77 Clause #5 (by clausification #[3]): Eq (∀ (X : Iota), b X) True % 5.59/5.77 Clause #6 (by clausification #[3]): Eq (Exists a) True % 5.59/5.77 Clause #7 (by clausification #[5]): ∀ (a : Iota), Eq (b a) True % 5.59/5.77 Clause #8 (by clausification #[6]): ∀ (a_1 : Iota), Eq (a (skS.0 0 a_1)) True % 5.59/5.77 Clause #9 (by clausification #[4]): ∀ (a_1 : Iota), Eq (And (a a_1) (b a_1)) False % 5.59/5.77 Clause #10 (by clausification #[9]): ∀ (a_1 : Iota), Or (Eq (a a_1) False) (Eq (b a_1) False) % 5.59/5.77 Clause #11 (by forward demodulation #[10, 7]): ∀ (a_1 : Iota), Or (Eq (a a_1) False) (Eq True False) % 5.59/5.77 Clause #12 (by clausification #[11]): ∀ (a_1 : Iota), Eq (a a_1) False % 5.59/5.77 Clause #13 (by superposition #[12, 8]): Eq False True % 5.59/5.77 Clause #14 (by clausification #[13]): False % 5.59/5.77 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------