%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU844^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n020.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 08:02:33 PM UTC 2025 % Result : Theorem 7.28s 7.47s % Output : Proof 7.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU844^5 : TPTP v9.2.0. Released v4.0.0. % 0.07/0.13 % Command : duper %s % 0.12/0.34 % Computer : n020.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 06:03:38 EDT 2025 % 0.12/0.34 % CPUTime : % 7.28/7.47 SZS status Theorem for theBenchmark.p % 7.28/7.47 SZS output start Proof for theBenchmark.p % 7.28/7.47 Clause #0 (by assumption #[]): Eq (Not ((∀ (S0 T0 : a → Prop), Eq S0 T0) → And (∀ (Xx : a), cS Xx → cT Xx) (∀ (Xx : a), cT Xx → cS Xx))) True % 7.28/7.47 Clause #1 (by clausification #[0]): Eq ((∀ (S0 T0 : a → Prop), Eq S0 T0) → And (∀ (Xx : a), cS Xx → cT Xx) (∀ (Xx : a), cT Xx → cS Xx)) False % 7.28/7.47 Clause #2 (by clausification #[1]): Eq (∀ (S0 T0 : a → Prop), Eq S0 T0) True % 7.28/7.47 Clause #4 (by clausification #[2]): ∀ (a_1 : a → Prop), Eq (∀ (T0 : a → Prop), Eq a_1 T0) True % 7.28/7.47 Clause #5 (by clausification #[4]): ∀ (a_1 a_2 : a → Prop), Eq (Eq a_1 a_2) True % 7.28/7.47 Clause #6 (by clausification #[5]): ∀ (a_1 a_2 : a → Prop), Eq a_1 a_2 % 7.28/7.47 Clause #7 (by argument congruence #[6]): ∀ (a_1 : a → Prop) (a_2 : a) (a : a → Prop), Eq (a_1 a_2) (a a_2) % 7.28/7.47 Clause #16 (by fluidSup #[7, 7]): ∀ (a_1 : Prop) (a_2 : a → Prop) (a_3 : a) (a_4 : a → Prop) (a : a), Eq ((fun _ => a_1) (a_2 a_3)) (a_4 a) % 7.28/7.47 Clause #660 (by betaEtaReduce #[16]): ∀ (a_1 : Prop) (a_2 : a → Prop) (a : a), Eq a_1 (a_2 a) % 7.28/7.47 Clause #747 (by fluidSup #[660, 660]): ∀ (a a_1 a_2 : Prop), Eq a ((fun _ => a_1) a_2) % 7.28/7.47 Clause #1067 (by betaEtaReduce #[747]): ∀ (a a_1 : Prop), Eq a a_1 % 7.28/7.47 Clause #1070 (by falseElim #[1067]): False % 7.28/7.47 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------