%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEV272^5 : TPTP v9.2.0. Bugfixed v5.2.0. % 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 08:03:01 PM UTC 2025 % Result : Theorem 3.88s 4.11s % Output : Proof 3.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SEV272^5 : TPTP v9.2.0. Bugfixed v5.2.0. % 0.12/0.13 % Command : duper %s % 0.13/0.34 % Computer : n020.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Fri Oct 3 01:48:38 EDT 2025 % 0.13/0.34 % CPUTime : % 3.88/4.11 SZS status Theorem for theBenchmark.p % 3.88/4.11 SZS output start Proof for theBenchmark.p % 3.88/4.11 Clause #2 (by assumption #[]): Eq % 3.88/4.11 (Not % 3.88/4.11 (Eq % 3.88/4.11 (fun N => % 3.88/4.11 ∀ (P : ((Iota → Prop) → Prop) → Prop), And (P cZERO) (∀ (X : (Iota → Prop) → Prop), P X → P (cSUCC X)) → P N) % 3.88/4.11 fun Xx => % 3.88/4.11 ∀ (S : ((Iota → Prop) → Prop) → Prop), And (S cZERO) (∀ (X : (Iota → Prop) → Prop), S X → S (cSUCC X)) → S Xx)) % 3.88/4.11 True % 3.88/4.11 Clause #133 (by clausification #[2]): Eq % 3.88/4.11 (Eq % 3.88/4.11 (fun N => % 3.88/4.11 ∀ (P : ((Iota → Prop) → Prop) → Prop), And (P cZERO) (∀ (X : (Iota → Prop) → Prop), P X → P (cSUCC X)) → P N) % 3.88/4.11 fun Xx => % 3.88/4.11 ∀ (S : ((Iota → Prop) → Prop) → Prop), And (S cZERO) (∀ (X : (Iota → Prop) → Prop), S X → S (cSUCC X)) → S Xx) % 3.88/4.11 False % 3.88/4.11 Clause #134 (by clausification #[133]): Ne % 3.88/4.11 (fun N => % 3.88/4.11 ∀ (P : ((Iota → Prop) → Prop) → Prop), And (P cZERO) (∀ (X : (Iota → Prop) → Prop), P X → P (cSUCC X)) → P N) % 3.88/4.11 fun Xx => % 3.88/4.11 ∀ (S : ((Iota → Prop) → Prop) → Prop), And (S cZERO) (∀ (X : (Iota → Prop) → Prop), S X → S (cSUCC X)) → S Xx % 3.88/4.11 Clause #135 (by eliminate resolved literals #[134]): False % 3.88/4.11 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------