%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO205^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n017.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 08:08:44 PM UTC 2025 % Result : Theorem 4.98s 5.16s % Output : Proof 4.98s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : SYO205^5 : TPTP v9.2.0. Released v4.0.0. % 0.06/0.13 % Command : duper %s % 0.13/0.32 % Computer : n017.cluster.edu % 0.13/0.32 % Model : x86_64 x86_64 % 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.32 % Memory : 8042.1875MB % 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.32 % CPULimit : 300 % 0.13/0.32 % WCLimit : 300 % 0.13/0.32 % DateTime : Fri Oct 3 14:22:53 EDT 2025 % 0.13/0.32 % CPUTime : % 4.98/5.16 SZS status Theorem for theBenchmark.p % 4.98/5.16 SZS output start Proof for theBenchmark.p % 4.98/5.16 Clause #0 (by assumption #[]): Eq (Not (Exists fun Xx => Exists fun Xy => Eq (Eq Xx Xy) (Eq Xy Xx))) True % 4.98/5.16 Clause #1 (by clausification #[0]): Eq (Exists fun Xx => Exists fun Xy => Eq (Eq Xx Xy) (Eq Xy Xx)) False % 4.98/5.16 Clause #2 (by clausification #[1]): ∀ (a : Prop), Eq (Exists fun Xy => Eq (Eq a Xy) (Eq Xy a)) False % 4.98/5.16 Clause #3 (by clausification #[2]): ∀ (a a_1 : Prop), Eq (Eq (Eq a a_1) (Eq a_1 a)) False % 4.98/5.16 Clause #4 (by clausification #[3]): ∀ (a a_1 : Prop), Ne (Eq a a_1) (Eq a_1 a) % 4.98/5.16 Clause #5 (by clausification #[4]): ∀ (a a_1 : Prop), Or (Eq (Eq a a_1) False) (Eq (Eq a_1 a) False) % 4.98/5.16 Clause #7 (by clausification #[5]): ∀ (a a_1 : Prop), Or (Eq (Eq a a_1) False) (Ne a_1 a) % 4.98/5.16 Clause #8 (by clausification #[7]): ∀ (a a_1 : Prop), Or (Ne a a_1) (Ne a_1 a) % 4.98/5.16 Clause #9 (by clausification #[8]): ∀ (a a_1 : Prop), Or (Ne a a_1) (Or (Eq a_1 False) (Eq a False)) % 4.98/5.16 Clause #11 (by clausification #[9]): ∀ (a a_1 : Prop), Or (Eq a False) (Or (Eq a_1 False) (Or (Eq a_1 False) (Eq a False))) % 4.98/5.16 Clause #13 (by eliminate duplicate literals #[11]): ∀ (a a_1 : Prop), Or (Eq a False) (Eq a_1 False) % 4.98/5.16 Clause #14 (by falseElim #[13]): ∀ (a : Prop), Eq a False % 4.98/5.16 Clause #15 (by falseElim #[14]): False % 4.98/5.16 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------