%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO192^5 : TPTP v9.2.0. Released v4.0.0. % 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 08:08:43 PM UTC 2025 % Result : Theorem 3.42s 3.65s % Output : Proof 3.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO192^5 : TPTP v9.2.0. Released v4.0.0. % 0.12/0.14 % Command : duper %s % 0.13/0.35 % Computer : n022.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Fri Oct 3 13:15:23 EDT 2025 % 0.13/0.36 % CPUTime : % 3.42/3.65 SZS status Theorem for theBenchmark.p % 3.42/3.65 SZS output start Proof for theBenchmark.p % 3.42/3.65 Clause #0 (by assumption #[]): Eq (Not (Exists fun Xx => Exists fun Xy => Eq Xx Xy)) True % 3.42/3.65 Clause #1 (by betaEtaReduce #[0]): Eq (Not (Exists fun Xx => Exists (Eq Xx))) True % 3.42/3.65 Clause #2 (by clausification #[1]): Eq (Exists fun Xx => Exists (Eq Xx)) False % 3.42/3.65 Clause #3 (by clausification #[2]): ∀ (a : Prop), Eq (Exists (Eq a)) False % 3.42/3.65 Clause #4 (by clausification #[3]): ∀ (a a_1 : Prop), Eq (Eq a a_1) False % 3.42/3.65 Clause #5 (by clausification #[4]): ∀ (a a_1 : Prop), Ne a a_1 % 3.42/3.65 Clause #6 (by clausification #[5]): ∀ (a a_1 : Prop), Or (Eq a False) (Eq a_1 False) % 3.42/3.65 Clause #8 (by falseElim #[6]): ∀ (a : Prop), Eq a False % 3.42/3.65 Clause #9 (by falseElim #[8]): False % 3.42/3.65 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------