%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO281^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n028.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 08:08:50 PM UTC 2025 % Result : Theorem 4.69s 4.89s % Output : Proof 4.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : SYO281^5 : TPTP v9.2.0. Released v4.0.0. % 0.00/0.11 % Command : duper %s % 0.09/0.31 % Computer : n028.cluster.edu % 0.09/0.31 % Model : x86_64 x86_64 % 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.31 % Memory : 8042.1875MB % 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.31 % CPULimit : 300 % 0.09/0.31 % WCLimit : 300 % 0.09/0.31 % DateTime : Fri Oct 3 13:13:08 EDT 2025 % 0.15/0.31 % CPUTime : % 4.69/4.89 SZS status Theorem for theBenchmark.p % 4.69/4.89 SZS output start Proof for theBenchmark.p % 4.69/4.89 Clause #0 (by assumption #[]): Eq (Not (∀ (Xp : Iota → Prop), Exists fun Xq => ∀ (Xx : Iota), Xp Xx → Xq Xx)) True % 4.69/4.89 Clause #1 (by clausification #[0]): Eq (∀ (Xp : Iota → Prop), Exists fun Xq => ∀ (Xx : Iota), Xp Xx → Xq Xx) False % 4.69/4.89 Clause #2 (by clausification #[1]): ∀ (a : Iota → Prop), Eq (Not (Exists fun Xq => ∀ (Xx : Iota), skS.0 0 a Xx → Xq Xx)) True % 4.69/4.89 Clause #3 (by clausification #[2]): ∀ (a : Iota → Prop), Eq (Exists fun Xq => ∀ (Xx : Iota), skS.0 0 a Xx → Xq Xx) False % 4.69/4.89 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota → Prop), Eq (∀ (Xx : Iota), skS.0 0 a Xx → a_1 Xx) False % 4.69/4.89 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota → Prop) (a_2 : Iota), Eq (Not (skS.0 0 a (skS.0 1 a a_1 a_2) → a_1 (skS.0 1 a a_1 a_2))) True % 4.69/4.89 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota → Prop) (a_2 : Iota), Eq (skS.0 0 a (skS.0 1 a a_1 a_2) → a_1 (skS.0 1 a a_1 a_2)) False % 4.69/4.89 Clause #8 (by clausification #[6]): ∀ (a a_1 : Iota → Prop) (a_2 : Iota), Eq (a (skS.0 1 a_1 a a_2)) False % 4.69/4.89 Clause #12 (by fluidSup #[8, 8]): ∀ (a : Prop), Eq ((fun _ => a) False) False % 4.69/4.89 Clause #20 (by betaEtaReduce #[12]): ∀ (a : Prop), Eq a False % 4.69/4.89 Clause #22 (by falseElim #[20]): False % 4.69/4.89 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------