%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUN089+2 : TPTP v9.2.0. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n003.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 4.92s 5.14s % Output : Proof 4.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : NUN089+2 : TPTP v9.2.0. Released v7.3.0. % 0.03/0.13 % Command : duper %s % 0.13/0.34 % Computer : n003.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 11:37:38 EDT 2025 % 0.13/0.34 % CPUTime : % 4.92/5.14 SZS status Theorem for theBenchmark.p % 4.92/5.14 SZS output start Proof for theBenchmark.p % 4.92/5.14 Clause #10 (by assumption #[]): Eq (∀ (X7 Y10 : Iota), Or (∀ (Y20 : Iota), Or (Not (r1 Y20)) (Ne Y20 Y10)) (Not (r2 X7 Y10))) True % 4.92/5.14 Clause #11 (by assumption #[]): Eq % 4.92/5.14 (Not % 4.92/5.14 (∀ (Y1 : Iota), % 4.92/5.14 Or (∀ (Y2 : Iota), Or (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 Y2))) (Not (r2 Y2 Y1))) % 4.92/5.14 (∀ (Y4 : Iota), Or (Ne Y4 Y1) (Not (r1 Y4))))) % 4.92/5.14 True % 4.92/5.14 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 % 4.92/5.14 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 % 4.92/5.14 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) % 4.92/5.14 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) % 4.92/5.14 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) % 4.92/5.14 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)) % 4.92/5.14 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)) % 4.92/5.14 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)) % 4.92/5.14 Clause #20 (by destructive equality resolution #[19]): ∀ (a a_1 : Iota), Or (Eq (r2 a a_1) False) (Eq (r1 a_1) False) % 4.92/5.14 Clause #183 (by clausification #[11]): Eq % 4.92/5.14 (∀ (Y1 : Iota), % 4.92/5.14 Or (∀ (Y2 : Iota), Or (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 Y2))) (Not (r2 Y2 Y1))) % 4.92/5.14 (∀ (Y4 : Iota), Or (Ne Y4 Y1) (Not (r1 Y4)))) % 4.92/5.14 False % 4.92/5.14 Clause #184 (by clausification #[183]): ∀ (a : Iota), % 4.92/5.14 Eq % 4.92/5.14 (Not % 4.92/5.14 (Or (∀ (Y2 : Iota), Or (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 Y2))) (Not (r2 Y2 (skS.0 16 a)))) % 4.92/5.14 (∀ (Y4 : Iota), Or (Ne Y4 (skS.0 16 a)) (Not (r1 Y4))))) % 4.92/5.14 True % 4.92/5.14 Clause #185 (by clausification #[184]): ∀ (a : Iota), % 4.92/5.14 Eq % 4.92/5.14 (Or (∀ (Y2 : Iota), Or (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 Y2))) (Not (r2 Y2 (skS.0 16 a)))) % 4.92/5.14 (∀ (Y4 : Iota), Or (Ne Y4 (skS.0 16 a)) (Not (r1 Y4)))) % 4.92/5.14 False % 4.92/5.14 Clause #186 (by clausification #[185]): ∀ (a : Iota), Eq (∀ (Y4 : Iota), Or (Ne Y4 (skS.0 16 a)) (Not (r1 Y4))) False % 4.92/5.14 Clause #187 (by clausification #[185]): ∀ (a : Iota), Eq (∀ (Y2 : Iota), Or (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 Y2))) (Not (r2 Y2 (skS.0 16 a)))) False % 4.92/5.14 Clause #188 (by clausification #[186]): ∀ (a a_1 : Iota), Eq (Not (Or (Ne (skS.0 17 a a_1) (skS.0 16 a)) (Not (r1 (skS.0 17 a a_1))))) True % 4.92/5.14 Clause #189 (by clausification #[188]): ∀ (a a_1 : Iota), Eq (Or (Ne (skS.0 17 a a_1) (skS.0 16 a)) (Not (r1 (skS.0 17 a a_1)))) False % 4.92/5.14 Clause #190 (by clausification #[189]): ∀ (a a_1 : Iota), Eq (Not (r1 (skS.0 17 a a_1))) False % 4.92/5.14 Clause #191 (by clausification #[189]): ∀ (a a_1 : Iota), Eq (Ne (skS.0 17 a a_1) (skS.0 16 a)) False % 4.92/5.14 Clause #192 (by clausification #[190]): ∀ (a a_1 : Iota), Eq (r1 (skS.0 17 a a_1)) True % 4.92/5.14 Clause #198 (by clausification #[191]): ∀ (a a_1 : Iota), Eq (skS.0 17 a a_1) (skS.0 16 a) % 4.92/5.14 Clause #199 (by backward demodulation #[198, 192]): ∀ (a : Iota), Eq (r1 (skS.0 16 a)) True % 4.92/5.14 Clause #228 (by clausification #[187]): ∀ (a a_1 : Iota), % 4.92/5.14 Eq % 4.92/5.14 (Not (Or (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 (skS.0 19 a a_1)))) (Not (r2 (skS.0 19 a a_1) (skS.0 16 a))))) % 4.92/5.14 True % 4.92/5.14 Clause #229 (by clausification #[228]): ∀ (a a_1 : Iota), % 4.92/5.14 Eq (Or (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 (skS.0 19 a a_1)))) (Not (r2 (skS.0 19 a a_1) (skS.0 16 a)))) % 4.92/5.14 False % 4.92/5.14 Clause #230 (by clausification #[229]): ∀ (a a_1 : Iota), Eq (Not (r2 (skS.0 19 a a_1) (skS.0 16 a))) False % 4.92/5.14 Clause #232 (by clausification #[230]): ∀ (a a_1 : Iota), Eq (r2 (skS.0 19 a a_1) (skS.0 16 a)) True % 4.92/5.14 Clause #233 (by superposition #[232, 20]): ∀ (a : Iota), Or (Eq True False) (Eq (r1 (skS.0 16 a)) False) % 4.92/5.14 Clause #237 (by clausification #[233]): ∀ (a : Iota), Eq (r1 (skS.0 16 a)) False % 4.92/5.14 Clause #238 (by superposition #[237, 199]): Eq False True % 4.92/5.14 Clause #239 (by clausification #[238]): False % 4.92/5.14 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------