%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR150^2 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n008.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 07:46:55 PM UTC 2025 % Result : Theorem 11.36s 11.52s % Output : Proof 11.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : CSR150^2 : TPTP v9.2.0. Released v4.1.0. % 0.06/0.13 % Command : duper %s % 0.14/0.34 % Computer : n008.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Thu Oct 2 20:03:23 EDT 2025 % 0.14/0.34 % CPUTime : % 11.36/11.52 SZS status Theorem for theBenchmark.p % 11.36/11.52 SZS output start Proof for theBenchmark.p % 11.36/11.52 Clause #2 (by assumption #[]): Eq % 11.36/11.52 (∀ (NUMBER2 NUMBER1 : Iota), % 11.36/11.52 Iff (ltet_THFTYPE_IiioI NUMBER1 NUMBER2) (Or (Eq NUMBER1 NUMBER2) (lt_THFTYPE_IiioI NUMBER1 NUMBER2))) % 11.36/11.52 True % 11.36/11.52 Clause #252 (by assumption #[]): Eq % 11.36/11.52 (Not % 11.36/11.52 (Exists fun Y => % 11.36/11.52 ltet_THFTYPE_IiioI (lCardinalityFn_THFTYPE_IIioIiI fun X => grandchild_THFTYPE_IiioI X lJohn_THFTYPE_i) Y)) % 11.36/11.52 True % 11.36/11.52 Clause #260 (by clausification #[2]): ∀ (a : Iota), % 11.36/11.52 Eq (∀ (NUMBER1 : Iota), Iff (ltet_THFTYPE_IiioI NUMBER1 a) (Or (Eq NUMBER1 a) (lt_THFTYPE_IiioI NUMBER1 a))) True % 11.36/11.52 Clause #261 (by clausification #[260]): ∀ (a a_1 : Iota), Eq (Iff (ltet_THFTYPE_IiioI a a_1) (Or (Eq a a_1) (lt_THFTYPE_IiioI a a_1))) True % 11.36/11.52 Clause #262 (by clausification #[261]): ∀ (a a_1 : Iota), Or (Eq (ltet_THFTYPE_IiioI a a_1) True) (Eq (Or (Eq a a_1) (lt_THFTYPE_IiioI a a_1)) False) % 11.36/11.52 Clause #265 (by clausification #[262]): ∀ (a a_1 : Iota), Or (Eq (ltet_THFTYPE_IiioI a a_1) True) (Eq (Eq a a_1) False) % 11.36/11.52 Clause #3680 (by clausification #[265]): ∀ (a a_1 : Iota), Or (Eq (ltet_THFTYPE_IiioI a a_1) True) (Ne a a_1) % 11.36/11.52 Clause #3681 (by destructive equality resolution #[3680]): ∀ (a : Iota), Eq (ltet_THFTYPE_IiioI a a) True % 11.36/11.52 Clause #4033 (by betaEtaReduce #[252]): Eq % 11.36/11.52 (Not % 11.36/11.52 (Exists (ltet_THFTYPE_IiioI (lCardinalityFn_THFTYPE_IIioIiI fun X => grandchild_THFTYPE_IiioI X lJohn_THFTYPE_i)))) % 11.36/11.52 True % 11.36/11.52 Clause #4034 (by clausification #[4033]): Eq (Exists (ltet_THFTYPE_IiioI (lCardinalityFn_THFTYPE_IIioIiI fun X => grandchild_THFTYPE_IiioI X lJohn_THFTYPE_i))) % 11.36/11.52 False % 11.36/11.52 Clause #4035 (by clausification #[4034]): ∀ (a : Iota), % 11.36/11.52 Eq (ltet_THFTYPE_IiioI (lCardinalityFn_THFTYPE_IIioIiI fun X => grandchild_THFTYPE_IiioI X lJohn_THFTYPE_i) a) False % 11.36/11.52 Clause #4036 (by superposition #[4035, 3681]): Eq False True % 11.36/11.52 Clause #4037 (by clausification #[4036]): False % 11.36/11.52 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------