%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEV232^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n010.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 08:02:58 PM UTC 2025 % Result : Theorem 3.66s 3.84s % Output : Proof 3.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SEV232^5 : TPTP v9.2.0. Released v4.0.0. % 0.12/0.13 % Command : duper %s % 0.13/0.34 % Computer : n010.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 01:49:23 EDT 2025 % 0.13/0.34 % CPUTime : % 3.66/3.84 SZS status Theorem for theBenchmark.p % 3.66/3.84 SZS output start Proof for theBenchmark.p % 3.66/3.84 Clause #0 (by assumption #[]): Eq % 3.66/3.84 (Not % 3.66/3.84 (Eq % 3.66/3.84 (fun N => ∀ (P : ((Iota → Prop) → Prop) → Prop), And (P c0) (∀ (X : (Iota → Prop) → Prop), P X → P (cS X)) → P N) % 3.66/3.84 fun Xx => % 3.66/3.84 ∀ (S0 : ((Iota → Prop) → Prop) → Prop), And (S0 c0) (∀ (X : (Iota → Prop) → Prop), S0 X → S0 (cS X)) → S0 Xx)) % 3.66/3.84 True % 3.66/3.84 Clause #1 (by clausification #[0]): Eq % 3.66/3.84 (Eq (fun N => ∀ (P : ((Iota → Prop) → Prop) → Prop), And (P c0) (∀ (X : (Iota → Prop) → Prop), P X → P (cS X)) → P N) % 3.66/3.84 fun Xx => % 3.66/3.84 ∀ (S0 : ((Iota → Prop) → Prop) → Prop), And (S0 c0) (∀ (X : (Iota → Prop) → Prop), S0 X → S0 (cS X)) → S0 Xx) % 3.66/3.84 False % 3.66/3.84 Clause #2 (by clausification #[1]): Ne (fun N => ∀ (P : ((Iota → Prop) → Prop) → Prop), And (P c0) (∀ (X : (Iota → Prop) → Prop), P X → P (cS X)) → P N) % 3.66/3.84 fun Xx => ∀ (S0 : ((Iota → Prop) → Prop) → Prop), And (S0 c0) (∀ (X : (Iota → Prop) → Prop), S0 X → S0 (cS X)) → S0 Xx % 3.66/3.84 Clause #3 (by eliminate resolved literals #[2]): False % 3.66/3.84 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------