%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU306+1 : TPTP v9.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n001.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 08:01:21 PM UTC 2025 % Result : Theorem 4.18s 4.35s % Output : Proof 4.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SEU306+1 : TPTP v9.2.0. Released v3.3.0. % 0.10/0.13 % Command : duper %s % 0.13/0.34 % Computer : n001.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 06:27:38 EDT 2025 % 0.13/0.35 % CPUTime : % 4.18/4.35 SZS status Theorem for theBenchmark.p % 4.18/4.35 SZS output start Proof for theBenchmark.p % 4.18/4.35 Clause #34 (by assumption #[]): Eq (∀ (A : Iota), one_sorted_str A → Eq (cast_as_carrier_subset A) (the_carrier A)) True % 4.18/4.35 Clause #35 (by assumption #[]): Eq (Not (∀ (A : Iota), one_sorted_str A → Eq (cast_as_carrier_subset A) (the_carrier A))) True % 4.18/4.35 Clause #79 (by clausification #[34]): ∀ (a : Iota), Eq (one_sorted_str a → Eq (cast_as_carrier_subset a) (the_carrier a)) True % 4.18/4.35 Clause #80 (by clausification #[79]): ∀ (a : Iota), Or (Eq (one_sorted_str a) False) (Eq (Eq (cast_as_carrier_subset a) (the_carrier a)) True) % 4.18/4.35 Clause #81 (by clausification #[80]): ∀ (a : Iota), Or (Eq (one_sorted_str a) False) (Eq (cast_as_carrier_subset a) (the_carrier a)) % 4.18/4.35 Clause #125 (by clausification #[35]): Eq (∀ (A : Iota), one_sorted_str A → Eq (cast_as_carrier_subset A) (the_carrier A)) False % 4.18/4.35 Clause #126 (by clausification #[125]): ∀ (a : Iota), % 4.18/4.35 Eq (Not (one_sorted_str (skS.0 3 a) → Eq (cast_as_carrier_subset (skS.0 3 a)) (the_carrier (skS.0 3 a)))) True % 4.18/4.35 Clause #127 (by clausification #[126]): ∀ (a : Iota), Eq (one_sorted_str (skS.0 3 a) → Eq (cast_as_carrier_subset (skS.0 3 a)) (the_carrier (skS.0 3 a))) False % 4.18/4.35 Clause #128 (by clausification #[127]): ∀ (a : Iota), Eq (one_sorted_str (skS.0 3 a)) True % 4.18/4.35 Clause #129 (by clausification #[127]): ∀ (a : Iota), Eq (Eq (cast_as_carrier_subset (skS.0 3 a)) (the_carrier (skS.0 3 a))) False % 4.18/4.35 Clause #130 (by superposition #[128, 81]): ∀ (a : Iota), Or (Eq True False) (Eq (cast_as_carrier_subset (skS.0 3 a)) (the_carrier (skS.0 3 a))) % 4.18/4.35 Clause #354 (by clausification #[129]): ∀ (a : Iota), Ne (cast_as_carrier_subset (skS.0 3 a)) (the_carrier (skS.0 3 a)) % 4.18/4.35 Clause #358 (by clausification #[130]): ∀ (a : Iota), Eq (cast_as_carrier_subset (skS.0 3 a)) (the_carrier (skS.0 3 a)) % 4.18/4.35 Clause #359 (by forward contextual literal cutting #[358, 354]): False % 4.18/4.35 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------