%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUN088+3 : TPTP v9.2.0. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n026.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 07:57:51 PM UTC 2025 % Result : Theorem 6.31s 6.52s % Output : Proof 6.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : NUN088+3 : TPTP v9.2.0. Released v7.3.0. % 0.03/0.12 % Command : duper %s % 0.12/0.33 % Computer : n026.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Thu Oct 2 11:41:38 EDT 2025 % 0.12/0.33 % CPUTime : % 6.31/6.52 SZS status Theorem for theBenchmark.p % 6.31/6.52 SZS output start Proof for theBenchmark.p % 6.31/6.52 Clause #10 (by assumption #[]): Eq (∀ (X7 Y10 : Iota), Or (∀ (Y20 : Iota), Or (Not (r1 Y20)) (Ne Y20 Y10)) (Not (r2 X7 Y10))) True % 6.31/6.52 Clause #11 (by assumption #[]): Eq (Not (∀ (Y0 : Iota), Or (∀ (Y1 : Iota), Or (Ne Y0 Y1) (Not (r2 Y0 Y1))) (Not (r1 Y0)))) True % 6.31/6.52 Clause #12 (by clausification #[11]): Eq (∀ (Y0 : Iota), Or (∀ (Y1 : Iota), Or (Ne Y0 Y1) (Not (r2 Y0 Y1))) (Not (r1 Y0))) False % 6.31/6.52 Clause #13 (by clausification #[12]): ∀ (a : Iota), % 6.31/6.52 Eq (Not (Or (∀ (Y1 : Iota), Or (Ne (skS.0 0 a) Y1) (Not (r2 (skS.0 0 a) Y1))) (Not (r1 (skS.0 0 a))))) True % 6.31/6.52 Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (Or (∀ (Y1 : Iota), Or (Ne (skS.0 0 a) Y1) (Not (r2 (skS.0 0 a) Y1))) (Not (r1 (skS.0 0 a)))) False % 6.31/6.52 Clause #15 (by clausification #[14]): ∀ (a : Iota), Eq (Not (r1 (skS.0 0 a))) False % 6.31/6.52 Clause #16 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (Y1 : Iota), Or (Ne (skS.0 0 a) Y1) (Not (r2 (skS.0 0 a) Y1))) False % 6.31/6.52 Clause #17 (by clausification #[15]): ∀ (a : Iota), Eq (r1 (skS.0 0 a)) True % 6.31/6.52 Clause #18 (by clausification #[10]): ∀ (a : Iota), Eq (∀ (Y10 : Iota), Or (∀ (Y20 : Iota), Or (Not (r1 Y20)) (Ne Y20 Y10)) (Not (r2 a Y10))) True % 6.31/6.52 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), Eq (Or (∀ (Y20 : Iota), Or (Not (r1 Y20)) (Ne Y20 a)) (Not (r2 a_1 a))) True % 6.31/6.52 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), Or (Eq (∀ (Y20 : Iota), Or (Not (r1 Y20)) (Ne Y20 a)) True) (Eq (Not (r2 a_1 a)) True) % 6.31/6.52 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 : Iota), Or (Eq (Not (r2 a a_1)) True) (Eq (Or (Not (r1 a_2)) (Ne a_2 a_1)) True) % 6.31/6.52 Clause #22 (by clausification #[21]): ∀ (a a_1 a_2 : Iota), Or (Eq (Or (Not (r1 a)) (Ne a a_1)) True) (Eq (r2 a_2 a_1) False) % 6.31/6.52 Clause #23 (by clausification #[22]): ∀ (a a_1 a_2 : Iota), Or (Eq (r2 a a_1) False) (Or (Eq (Not (r1 a_2)) True) (Eq (Ne a_2 a_1) True)) % 6.31/6.52 Clause #24 (by clausification #[23]): ∀ (a a_1 a_2 : Iota), Or (Eq (r2 a a_1) False) (Or (Eq (Ne a_2 a_1) True) (Eq (r1 a_2) False)) % 6.31/6.52 Clause #25 (by clausification #[24]): ∀ (a a_1 a_2 : Iota), Or (Eq (r2 a a_1) False) (Or (Eq (r1 a_2) False) (Ne a_2 a_1)) % 6.31/6.52 Clause #26 (by destructive equality resolution #[25]): ∀ (a a_1 : Iota), Or (Eq (r2 a a_1) False) (Eq (r1 a_1) False) % 6.31/6.52 Clause #106 (by clausification #[16]): ∀ (a a_1 : Iota), Eq (Not (Or (Ne (skS.0 0 a) (skS.0 7 a a_1)) (Not (r2 (skS.0 0 a) (skS.0 7 a a_1))))) True % 6.31/6.52 Clause #107 (by clausification #[106]): ∀ (a a_1 : Iota), Eq (Or (Ne (skS.0 0 a) (skS.0 7 a a_1)) (Not (r2 (skS.0 0 a) (skS.0 7 a a_1)))) False % 6.31/6.52 Clause #108 (by clausification #[107]): ∀ (a a_1 : Iota), Eq (Not (r2 (skS.0 0 a) (skS.0 7 a a_1))) False % 6.31/6.52 Clause #109 (by clausification #[107]): ∀ (a a_1 : Iota), Eq (Ne (skS.0 0 a) (skS.0 7 a a_1)) False % 6.31/6.52 Clause #110 (by clausification #[108]): ∀ (a a_1 : Iota), Eq (r2 (skS.0 0 a) (skS.0 7 a a_1)) True % 6.31/6.52 Clause #111 (by superposition #[110, 26]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (r1 (skS.0 7 a a_1)) False) % 6.31/6.52 Clause #122 (by clausification #[111]): ∀ (a a_1 : Iota), Eq (r1 (skS.0 7 a a_1)) False % 6.31/6.52 Clause #123 (by clausification #[109]): ∀ (a a_1 : Iota), Eq (skS.0 0 a) (skS.0 7 a a_1) % 6.31/6.52 Clause #124 (by backward demodulation #[123, 122]): ∀ (a : Iota), Eq (r1 (skS.0 0 a)) False % 6.31/6.52 Clause #127 (by superposition #[124, 17]): Eq False True % 6.31/6.52 Clause #137 (by clausification #[127]): False % 6.31/6.52 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------