%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KLE085+1 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n014.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 07:52:22 PM UTC 2025 % Result : Theorem 5.46s 5.65s % Output : Proof 5.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : KLE085+1 : TPTP v9.2.0. Released v4.0.0. % 0.10/0.11 % Command : duper %s % 0.11/0.31 % Computer : n014.cluster.edu % 0.11/0.31 % Model : x86_64 x86_64 % 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.31 % Memory : 8042.1875MB % 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.31 % CPULimit : 300 % 0.11/0.31 % WCLimit : 300 % 0.11/0.31 % DateTime : Thu Oct 2 16:43:53 EDT 2025 % 0.11/0.31 % CPUTime : % 5.46/5.65 SZS status Theorem for theBenchmark.p % 5.46/5.65 SZS output start Proof for theBenchmark.p % 5.46/5.65 Clause #0 (by assumption #[]): Eq (∀ (A B : Iota), Eq (addition A B) (addition B A)) True % 5.46/5.65 Clause #1 (by assumption #[]): Eq (∀ (C B A : Iota), Eq (addition A (addition B C)) (addition (addition A B) C)) True % 5.46/5.65 Clause #3 (by assumption #[]): Eq (∀ (A : Iota), Eq (addition A A) A) True % 5.46/5.65 Clause #14 (by assumption #[]): Eq (∀ (X0 : Iota), Eq (addition (antidomain (antidomain X0)) (antidomain X0)) one) True % 5.46/5.65 Clause #15 (by assumption #[]): Eq (∀ (X0 : Iota), Eq (domain X0) (antidomain (antidomain X0))) True % 5.46/5.65 Clause #20 (by assumption #[]): Eq (Not (∀ (X0 : Iota), Eq (addition (domain X0) one) one)) True % 5.46/5.65 Clause #27 (by clausification #[3]): ∀ (a : Iota), Eq (Eq (addition a a) a) True % 5.46/5.65 Clause #28 (by clausification #[27]): ∀ (a : Iota), Eq (addition a a) a % 5.46/5.65 Clause #31 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B : Iota), Eq (addition a B) (addition B a)) True % 5.46/5.65 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Eq (Eq (addition a a_1) (addition a_1 a)) True % 5.46/5.65 Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota), Eq (addition a a_1) (addition a_1 a) % 5.46/5.65 Clause #38 (by clausification #[15]): ∀ (a : Iota), Eq (Eq (domain a) (antidomain (antidomain a))) True % 5.46/5.65 Clause #39 (by clausification #[38]): ∀ (a : Iota), Eq (domain a) (antidomain (antidomain a)) % 5.46/5.65 Clause #42 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (B A : Iota), Eq (addition A (addition B a)) (addition (addition A B) a)) True % 5.46/5.65 Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota), Eq (∀ (A : Iota), Eq (addition A (addition a a_1)) (addition (addition A a) a_1)) True % 5.46/5.65 Clause #44 (by clausification #[43]): ∀ (a a_1 a_2 : Iota), Eq (Eq (addition a (addition a_1 a_2)) (addition (addition a a_1) a_2)) True % 5.46/5.65 Clause #45 (by clausification #[44]): ∀ (a a_1 a_2 : Iota), Eq (addition a (addition a_1 a_2)) (addition (addition a a_1) a_2) % 5.46/5.65 Clause #53 (by superposition #[45, 28]): ∀ (a a_1 : Iota), Eq (addition a (addition a a_1)) (addition a a_1) % 5.46/5.65 Clause #60 (by superposition #[53, 33]): ∀ (a a_1 : Iota), Eq (addition a (addition a_1 a)) (addition a_1 a) % 5.46/5.65 Clause #188 (by clausification #[14]): ∀ (a : Iota), Eq (Eq (addition (antidomain (antidomain a)) (antidomain a)) one) True % 5.46/5.65 Clause #189 (by clausification #[188]): ∀ (a : Iota), Eq (addition (antidomain (antidomain a)) (antidomain a)) one % 5.46/5.65 Clause #190 (by forward demodulation #[189, 39]): ∀ (a : Iota), Eq (addition (domain a) (antidomain a)) one % 5.46/5.65 Clause #195 (by superposition #[190, 60]): ∀ (a : Iota), Eq (addition (antidomain a) one) one % 5.46/5.65 Clause #259 (by superposition #[195, 33]): ∀ (a : Iota), Eq (addition one (antidomain a)) one % 5.46/5.65 Clause #265 (by superposition #[259, 39]): ∀ (a : Iota), Eq (addition one (domain a)) one % 5.46/5.65 Clause #295 (by clausification #[20]): Eq (∀ (X0 : Iota), Eq (addition (domain X0) one) one) False % 5.46/5.65 Clause #296 (by clausification #[295]): ∀ (a : Iota), Eq (Not (Eq (addition (domain (skS.0 0 a)) one) one)) True % 5.46/5.65 Clause #297 (by clausification #[296]): ∀ (a : Iota), Eq (Eq (addition (domain (skS.0 0 a)) one) one) False % 5.46/5.65 Clause #298 (by clausification #[297]): ∀ (a : Iota), Ne (addition (domain (skS.0 0 a)) one) one % 5.46/5.65 Clause #299 (by forward demodulation #[298, 33]): ∀ (a : Iota), Ne (addition one (domain (skS.0 0 a))) one % 5.46/5.65 Clause #303 (by backward contextual literal cutting #[265, 299]): False % 5.46/5.65 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------