%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUN088+2 : TPTP v9.2.0. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n028.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 3.69s 3.91s % Output : Proof 3.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : NUN088+2 : TPTP v9.2.0. Released v7.3.0. % 0.06/0.12 % Command : duper %s % 0.12/0.33 % Computer : n028.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 11:38:08 EDT 2025 % 0.12/0.33 % CPUTime : % 3.69/3.91 SZS status Theorem for theBenchmark.p % 3.69/3.91 SZS output start Proof for theBenchmark.p % 3.69/3.91 Clause #10 (by assumption #[]): Eq (∀ (X7 Y10 : Iota), Or (∀ (Y20 : Iota), Or (Not (r1 Y20)) (Ne Y20 Y10)) (Not (r2 X7 Y10))) True % 3.69/3.91 Clause #11 (by assumption #[]): Eq % 3.69/3.91 (Not % 3.69/3.91 (∀ (Y1 : Iota), Or (∀ (Y2 : Iota), Or (Not (r1 Y2)) (Ne Y2 Y1)) (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 Y1))))) % 3.69/3.91 True % 3.69/3.91 Clause #12 (by clausification #[10]): ∀ (a : Iota), Eq (∀ (Y10 : Iota), Or (∀ (Y20 : Iota), Or (Not (r1 Y20)) (Ne Y20 Y10)) (Not (r2 a Y10))) True % 3.69/3.91 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), Eq (Or (∀ (Y20 : Iota), Or (Not (r1 Y20)) (Ne Y20 a)) (Not (r2 a_1 a))) True % 3.69/3.91 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Or (Eq (∀ (Y20 : Iota), Or (Not (r1 Y20)) (Ne Y20 a)) True) (Eq (Not (r2 a_1 a)) True) % 3.69/3.91 Clause #15 (by clausification #[14]): ∀ (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) % 3.69/3.91 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 : Iota), Or (Eq (Or (Not (r1 a)) (Ne a a_1)) True) (Eq (r2 a_2 a_1) False) % 3.69/3.91 Clause #17 (by clausification #[16]): ∀ (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)) % 3.69/3.91 Clause #18 (by clausification #[17]): ∀ (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)) % 3.69/3.91 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 : Iota), Or (Eq (r2 a a_1) False) (Or (Eq (r1 a_2) False) (Ne a_2 a_1)) % 3.69/3.91 Clause #20 (by destructive equality resolution #[19]): ∀ (a a_1 : Iota), Or (Eq (r2 a a_1) False) (Eq (r1 a_1) False) % 3.69/3.91 Clause #109 (by clausification #[11]): Eq (∀ (Y1 : Iota), Or (∀ (Y2 : Iota), Or (Not (r1 Y2)) (Ne Y2 Y1)) (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 Y1)))) % 3.69/3.91 False % 3.69/3.91 Clause #110 (by clausification #[109]): ∀ (a : Iota), % 3.69/3.91 Eq % 3.69/3.91 (Not % 3.69/3.91 (Or (∀ (Y2 : Iota), Or (Not (r1 Y2)) (Ne Y2 (skS.0 8 a))) % 3.69/3.91 (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 (skS.0 8 a)))))) % 3.69/3.91 True % 3.69/3.91 Clause #111 (by clausification #[110]): ∀ (a : Iota), % 3.69/3.91 Eq % 3.69/3.91 (Or (∀ (Y2 : Iota), Or (Not (r1 Y2)) (Ne Y2 (skS.0 8 a))) % 3.69/3.91 (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 (skS.0 8 a))))) % 3.69/3.91 False % 3.69/3.91 Clause #112 (by clausification #[111]): ∀ (a : Iota), Eq (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 (skS.0 8 a)))) False % 3.69/3.91 Clause #113 (by clausification #[111]): ∀ (a : Iota), Eq (∀ (Y2 : Iota), Or (Not (r1 Y2)) (Ne Y2 (skS.0 8 a))) False % 3.69/3.91 Clause #114 (by clausification #[112]): ∀ (a a_1 : Iota), Eq (Not (Or (Not (r1 (skS.0 9 a a_1))) (Not (r2 (skS.0 9 a a_1) (skS.0 8 a))))) True % 3.69/3.91 Clause #115 (by clausification #[114]): ∀ (a a_1 : Iota), Eq (Or (Not (r1 (skS.0 9 a a_1))) (Not (r2 (skS.0 9 a a_1) (skS.0 8 a)))) False % 3.69/3.91 Clause #116 (by clausification #[115]): ∀ (a a_1 : Iota), Eq (Not (r2 (skS.0 9 a a_1) (skS.0 8 a))) False % 3.69/3.91 Clause #118 (by clausification #[116]): ∀ (a a_1 : Iota), Eq (r2 (skS.0 9 a a_1) (skS.0 8 a)) True % 3.69/3.91 Clause #119 (by superposition #[118, 20]): ∀ (a : Iota), Or (Eq True False) (Eq (r1 (skS.0 8 a)) False) % 3.69/3.91 Clause #121 (by clausification #[119]): ∀ (a : Iota), Eq (r1 (skS.0 8 a)) False % 3.69/3.91 Clause #124 (by clausification #[113]): ∀ (a a_1 : Iota), Eq (Not (Or (Not (r1 (skS.0 10 a a_1))) (Ne (skS.0 10 a a_1) (skS.0 8 a)))) True % 3.69/3.91 Clause #125 (by clausification #[124]): ∀ (a a_1 : Iota), Eq (Or (Not (r1 (skS.0 10 a a_1))) (Ne (skS.0 10 a a_1) (skS.0 8 a))) False % 3.69/3.91 Clause #126 (by clausification #[125]): ∀ (a a_1 : Iota), Eq (Ne (skS.0 10 a a_1) (skS.0 8 a)) False % 3.69/3.91 Clause #127 (by clausification #[125]): ∀ (a a_1 : Iota), Eq (Not (r1 (skS.0 10 a a_1))) False % 3.69/3.91 Clause #128 (by clausification #[126]): ∀ (a a_1 : Iota), Eq (skS.0 10 a a_1) (skS.0 8 a) % 3.69/3.91 Clause #137 (by clausification #[127]): ∀ (a a_1 : Iota), Eq (r1 (skS.0 10 a a_1)) True % 3.69/3.91 Clause #138 (by forward demodulation #[137, 128]): ∀ (a : Iota), Eq (r1 (skS.0 8 a)) True % 3.69/3.91 Clause #139 (by superposition #[138, 121]): Eq True False % 3.69/3.91 Clause #141 (by clausification #[139]): False % 3.69/3.91 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------