%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEV290^5 : TPTP v9.2.0. Bugfixed v5.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n029.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 08:03:02 PM UTC 2025 % Result : Theorem 3.54s 3.70s % Output : Proof 3.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : SEV290^5 : TPTP v9.2.0. Bugfixed v5.2.0. % 0.08/0.15 % Command : duper %s % 0.15/0.36 % Computer : n029.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 300 % 0.15/0.36 % DateTime : Fri Oct 3 01:14:53 EDT 2025 % 0.15/0.37 % CPUTime : % 3.54/3.70 SZS status Theorem for theBenchmark.p % 3.54/3.70 SZS output start Proof for theBenchmark.p % 3.54/3.70 Clause #2 (by assumption #[]): Eq (Not (Exists fun A => ∀ (Xx : (Iota → Prop) → Prop), A Xx → c_less__eq_ Xx c0)) True % 3.54/3.70 Clause #3 (by clausification #[2]): Eq (Exists fun A => ∀ (Xx : (Iota → Prop) → Prop), A Xx → c_less__eq_ Xx c0) False % 3.54/3.70 Clause #4 (by clausification #[3]): ∀ (a : ((Iota → Prop) → Prop) → Prop), Eq (∀ (Xx : (Iota → Prop) → Prop), a Xx → c_less__eq_ Xx c0) False % 3.54/3.70 Clause #5 (by clausification #[4]): ∀ (a : ((Iota → Prop) → Prop) → Prop) (a_1 : (Iota → Prop) → Prop), % 3.54/3.70 Eq (Not (a (skS.0 0 a a_1) → c_less__eq_ (skS.0 0 a a_1) c0)) True % 3.54/3.70 Clause #6 (by clausification #[5]): ∀ (a : ((Iota → Prop) → Prop) → Prop) (a_1 : (Iota → Prop) → Prop), % 3.54/3.70 Eq (a (skS.0 0 a a_1) → c_less__eq_ (skS.0 0 a a_1) c0) False % 3.54/3.70 Clause #7 (by clausification #[6]): ∀ (a : ((Iota → Prop) → Prop) → Prop) (a_1 : (Iota → Prop) → Prop), Eq (a (skS.0 0 a a_1)) True % 3.54/3.70 Clause #12 (by fluidSup #[7, 7]): ∀ (a : Prop), Eq ((fun _ => a) True) True % 3.54/3.70 Clause #19 (by betaEtaReduce #[12]): ∀ (a : Prop), Eq a True % 3.54/3.70 Clause #20 (by falseElim #[19]): False % 3.54/3.70 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------