%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN959+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n020.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 08:08:19 PM UTC 2025 % Result : Theorem 5.23s 5.44s % Output : Proof 5.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.02/0.10 % Problem : SYN959+1 : TPTP v9.2.0. Released v3.1.0. % 0.02/0.11 % Command : duper %s % 0.10/0.32 % Computer : n020.cluster.edu % 0.10/0.32 % Model : x86_64 x86_64 % 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.32 % Memory : 8042.1875MB % 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.32 % CPULimit : 300 % 0.10/0.32 % WCLimit : 300 % 0.10/0.32 % DateTime : Thu Oct 2 15:32:38 EDT 2025 % 0.10/0.32 % CPUTime : % 5.23/5.44 SZS status Theorem for theBenchmark.p % 5.23/5.44 SZS output start Proof for theBenchmark.p % 5.23/5.44 Clause #0 (by assumption #[]): Eq (Not ((Exists fun X => b X) → Exists fun X => Or (a X) (b X))) True % 5.23/5.44 Clause #1 (by betaEtaReduce #[0]): Eq (Not (Exists b → Exists fun X => Or (a X) (b X))) True % 5.23/5.44 Clause #2 (by clausification #[1]): Eq (Exists b → Exists fun X => Or (a X) (b X)) False % 5.23/5.44 Clause #3 (by clausification #[2]): Eq (Exists b) True % 5.23/5.44 Clause #4 (by clausification #[2]): Eq (Exists fun X => Or (a X) (b X)) False % 5.23/5.44 Clause #5 (by clausification #[3]): ∀ (a : Iota), Eq (b (skS.0 0 a)) True % 5.23/5.44 Clause #6 (by clausification #[4]): ∀ (a_1 : Iota), Eq (Or (a a_1) (b a_1)) False % 5.23/5.44 Clause #7 (by clausification #[6]): ∀ (a : Iota), Eq (b a) False % 5.23/5.44 Clause #9 (by superposition #[7, 5]): Eq False True % 5.23/5.44 Clause #10 (by clausification #[9]): False % 5.23/5.44 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------