%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO204^5 : 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 08:08:44 PM UTC 2025 % Result : Theorem 5.04s 5.26s % Output : Proof 5.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYO204^5 : TPTP v9.2.0. Released v4.0.0. % 0.11/0.13 % Command : duper %s % 0.12/0.34 % Computer : n022.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Fri Oct 3 13:49:23 EDT 2025 % 0.12/0.34 % CPUTime : % 5.04/5.26 SZS status Theorem for theBenchmark.p % 5.04/5.26 SZS output start Proof for theBenchmark.p % 5.04/5.26 Clause #0 (by assumption #[]): Eq (Not (Exists fun Xz => Exists fun Xx => ∀ (Xy : Prop), Xx → Xy)) True % 5.04/5.26 Clause #1 (by clausification #[0]): Eq (Exists fun Xz => Exists fun Xx => ∀ (Xy : Prop), Xx → Xy) False % 5.04/5.26 Clause #2 (by clausification #[1]): Prop → Eq (Exists fun Xx => ∀ (Xy : Prop), Xx → Xy) False % 5.04/5.26 Clause #3 (by clausification #[2]): ∀ (a : Prop), Eq (∀ (Xy : Prop), a → Xy) False % 5.04/5.26 Clause #4 (by clausification #[3]): ∀ (a a_1 : Prop), Eq (Not (a → skS.0 0 a a_1)) True % 5.04/5.26 Clause #5 (by clausification #[4]): ∀ (a a_1 : Prop), Eq (a → skS.0 0 a a_1) False % 5.04/5.26 Clause #6 (by clausification #[5]): ∀ (a : Prop), Eq a True % 5.04/5.26 Clause #8 (by falseElim #[6]): False % 5.04/5.26 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------