%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KLE059+1 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n007.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 07:52:20 PM UTC 2025 % Result : Theorem 10.14s 10.31s % Output : Proof 10.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : KLE059+1 : TPTP v9.2.0. Released v4.0.0. % 0.11/0.13 % Command : duper %s % 0.13/0.34 % Computer : n007.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 : Thu Oct 2 16:42:38 EDT 2025 % 0.13/0.34 % CPUTime : % 10.14/10.31 SZS status Theorem for theBenchmark.p % 10.14/10.31 SZS output start Proof for theBenchmark.p % 10.14/10.31 Clause #16 (by assumption #[]): Eq (∀ (X0 X1 : Iota), Eq (domain (addition X0 X1)) (addition (domain X0) (domain X1))) True % 10.14/10.31 Clause #17 (by assumption #[]): Eq (Not (∀ (X0 X1 : Iota), Eq (addition X0 X1) X1 → Eq (addition (domain X0) (domain X1)) (domain X1))) True % 10.14/10.31 Clause #189 (by clausification #[16]): ∀ (a : Iota), Eq (∀ (X1 : Iota), Eq (domain (addition a X1)) (addition (domain a) (domain X1))) True % 10.14/10.31 Clause #190 (by clausification #[189]): ∀ (a a_1 : Iota), Eq (Eq (domain (addition a a_1)) (addition (domain a) (domain a_1))) True % 10.14/10.31 Clause #191 (by clausification #[190]): ∀ (a a_1 : Iota), Eq (domain (addition a a_1)) (addition (domain a) (domain a_1)) % 10.14/10.31 Clause #210 (by clausification #[17]): Eq (∀ (X0 X1 : Iota), Eq (addition X0 X1) X1 → Eq (addition (domain X0) (domain X1)) (domain X1)) False % 10.14/10.31 Clause #211 (by clausification #[210]): ∀ (a : Iota), % 10.14/10.31 Eq (Not (∀ (X1 : Iota), Eq (addition (skS.0 0 a) X1) X1 → Eq (addition (domain (skS.0 0 a)) (domain X1)) (domain X1))) % 10.14/10.31 True % 10.14/10.31 Clause #212 (by clausification #[211]): ∀ (a : Iota), % 10.14/10.31 Eq (∀ (X1 : Iota), Eq (addition (skS.0 0 a) X1) X1 → Eq (addition (domain (skS.0 0 a)) (domain X1)) (domain X1)) False % 10.14/10.31 Clause #213 (by clausification #[212]): ∀ (a a_1 : Iota), % 10.14/10.31 Eq % 10.14/10.31 (Not % 10.14/10.31 (Eq (addition (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1) → % 10.14/10.31 Eq (addition (domain (skS.0 0 a)) (domain (skS.0 1 a a_1))) (domain (skS.0 1 a a_1)))) % 10.14/10.31 True % 10.14/10.31 Clause #214 (by clausification #[213]): ∀ (a a_1 : Iota), % 10.14/10.31 Eq % 10.14/10.31 (Eq (addition (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1) → % 10.14/10.31 Eq (addition (domain (skS.0 0 a)) (domain (skS.0 1 a a_1))) (domain (skS.0 1 a a_1))) % 10.14/10.31 False % 10.14/10.31 Clause #215 (by clausification #[214]): ∀ (a a_1 : Iota), Eq (Eq (addition (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1)) True % 10.14/10.31 Clause #216 (by clausification #[214]): ∀ (a a_1 : Iota), Eq (Eq (addition (domain (skS.0 0 a)) (domain (skS.0 1 a a_1))) (domain (skS.0 1 a a_1))) False % 10.14/10.31 Clause #217 (by clausification #[215]): ∀ (a a_1 : Iota), Eq (addition (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1) % 10.14/10.31 Clause #3736 (by clausification #[216]): ∀ (a a_1 : Iota), Ne (addition (domain (skS.0 0 a)) (domain (skS.0 1 a a_1))) (domain (skS.0 1 a a_1)) % 10.14/10.31 Clause #3737 (by forward demodulation #[3736, 191]): ∀ (a a_1 : Iota), Ne (domain (addition (skS.0 0 a) (skS.0 1 a a_1))) (domain (skS.0 1 a a_1)) % 10.14/10.31 Clause #3738 (by forward demodulation #[3737, 217]): ∀ (a a_1 : Iota), Ne (domain (skS.0 1 a a_1)) (domain (skS.0 1 a a_1)) % 10.14/10.31 Clause #3739 (by eliminate resolved literals #[3738]): False % 10.14/10.31 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------