%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUN088+1 : 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 4.23s 4.43s % Output : Proof 4.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : NUN088+1 : TPTP v9.2.0. Released v7.3.0. % 0.03/0.13 % Command : duper %s % 0.14/0.35 % Computer : n028.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Thu Oct 2 11:38:23 EDT 2025 % 0.14/0.35 % CPUTime : % 4.23/4.43 SZS status Theorem for theBenchmark.p % 4.23/4.43 SZS output start Proof for theBenchmark.p % 4.23/4.43 Clause #17 (by assumption #[]): Eq (∀ (X7 Y10 : Iota), Or (∀ (Y20 : Iota), Or (Not (id Y20 Y10)) (Not (r1 Y20))) (Not (r2 X7 Y10))) True % 4.23/4.43 Clause #18 (by assumption #[]): Eq % 4.23/4.43 (Not % 4.23/4.43 (∀ (Y1 : Iota), % 4.23/4.43 Or (∀ (Y2 : Iota), Or (Not (id Y2 Y1)) (Not (r1 Y2))) (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 Y1))))) % 4.23/4.43 True % 4.23/4.43 Clause #45 (by clausification #[17]): ∀ (a : Iota), Eq (∀ (Y10 : Iota), Or (∀ (Y20 : Iota), Or (Not (id Y20 Y10)) (Not (r1 Y20))) (Not (r2 a Y10))) True % 4.23/4.43 Clause #46 (by clausification #[45]): ∀ (a a_1 : Iota), Eq (Or (∀ (Y20 : Iota), Or (Not (id Y20 a)) (Not (r1 Y20))) (Not (r2 a_1 a))) True % 4.23/4.43 Clause #47 (by clausification #[46]): ∀ (a a_1 : Iota), Or (Eq (∀ (Y20 : Iota), Or (Not (id Y20 a)) (Not (r1 Y20))) True) (Eq (Not (r2 a_1 a)) True) % 4.23/4.43 Clause #48 (by clausification #[47]): ∀ (a a_1 a_2 : Iota), Or (Eq (Not (r2 a a_1)) True) (Eq (Or (Not (id a_2 a_1)) (Not (r1 a_2))) True) % 4.23/4.43 Clause #49 (by clausification #[48]): ∀ (a a_1 a_2 : Iota), Or (Eq (Or (Not (id a a_1)) (Not (r1 a))) True) (Eq (r2 a_2 a_1) False) % 4.23/4.43 Clause #50 (by clausification #[49]): ∀ (a a_1 a_2 : Iota), Or (Eq (r2 a a_1) False) (Or (Eq (Not (id a_2 a_1)) True) (Eq (Not (r1 a_2)) True)) % 4.23/4.43 Clause #51 (by clausification #[50]): ∀ (a a_1 a_2 : Iota), Or (Eq (r2 a a_1) False) (Or (Eq (Not (r1 a_2)) True) (Eq (id a_2 a_1) False)) % 4.23/4.43 Clause #52 (by clausification #[51]): ∀ (a a_1 a_2 : Iota), Or (Eq (r2 a a_1) False) (Or (Eq (id a_2 a_1) False) (Eq (r1 a_2) False)) % 4.23/4.43 Clause #303 (by clausification #[18]): Eq % 4.23/4.43 (∀ (Y1 : Iota), % 4.23/4.43 Or (∀ (Y2 : Iota), Or (Not (id Y2 Y1)) (Not (r1 Y2))) (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 Y1)))) % 4.23/4.43 False % 4.23/4.43 Clause #304 (by clausification #[303]): ∀ (a : Iota), % 4.23/4.43 Eq % 4.23/4.43 (Not % 4.23/4.43 (Or (∀ (Y2 : Iota), Or (Not (id Y2 (skS.0 10 a))) (Not (r1 Y2))) % 4.23/4.43 (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 (skS.0 10 a)))))) % 4.23/4.43 True % 4.23/4.43 Clause #305 (by clausification #[304]): ∀ (a : Iota), % 4.23/4.43 Eq % 4.23/4.43 (Or (∀ (Y2 : Iota), Or (Not (id Y2 (skS.0 10 a))) (Not (r1 Y2))) % 4.23/4.43 (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 (skS.0 10 a))))) % 4.23/4.43 False % 4.23/4.43 Clause #306 (by clausification #[305]): ∀ (a : Iota), Eq (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 (skS.0 10 a)))) False % 4.23/4.43 Clause #307 (by clausification #[305]): ∀ (a : Iota), Eq (∀ (Y2 : Iota), Or (Not (id Y2 (skS.0 10 a))) (Not (r1 Y2))) False % 4.23/4.43 Clause #308 (by clausification #[306]): ∀ (a a_1 : Iota), Eq (Not (Or (Not (r1 (skS.0 11 a a_1))) (Not (r2 (skS.0 11 a a_1) (skS.0 10 a))))) True % 4.23/4.43 Clause #309 (by clausification #[308]): ∀ (a a_1 : Iota), Eq (Or (Not (r1 (skS.0 11 a a_1))) (Not (r2 (skS.0 11 a a_1) (skS.0 10 a)))) False % 4.23/4.43 Clause #310 (by clausification #[309]): ∀ (a a_1 : Iota), Eq (Not (r2 (skS.0 11 a a_1) (skS.0 10 a))) False % 4.23/4.43 Clause #312 (by clausification #[310]): ∀ (a a_1 : Iota), Eq (r2 (skS.0 11 a a_1) (skS.0 10 a)) True % 4.23/4.43 Clause #313 (by superposition #[312, 52]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (id a (skS.0 10 a_1)) False) (Eq (r1 a) False)) % 4.23/4.43 Clause #319 (by clausification #[313]): ∀ (a a_1 : Iota), Or (Eq (id a (skS.0 10 a_1)) False) (Eq (r1 a) False) % 4.23/4.43 Clause #332 (by clausification #[307]): ∀ (a a_1 : Iota), Eq (Not (Or (Not (id (skS.0 14 a a_1) (skS.0 10 a))) (Not (r1 (skS.0 14 a a_1))))) True % 4.23/4.43 Clause #333 (by clausification #[332]): ∀ (a a_1 : Iota), Eq (Or (Not (id (skS.0 14 a a_1) (skS.0 10 a))) (Not (r1 (skS.0 14 a a_1)))) False % 4.23/4.43 Clause #334 (by clausification #[333]): ∀ (a a_1 : Iota), Eq (Not (r1 (skS.0 14 a a_1))) False % 4.23/4.43 Clause #335 (by clausification #[333]): ∀ (a a_1 : Iota), Eq (Not (id (skS.0 14 a a_1) (skS.0 10 a))) False % 4.23/4.43 Clause #336 (by clausification #[334]): ∀ (a a_1 : Iota), Eq (r1 (skS.0 14 a a_1)) True % 4.23/4.43 Clause #338 (by clausification #[335]): ∀ (a a_1 : Iota), Eq (id (skS.0 14 a a_1) (skS.0 10 a)) True % 4.23/4.43 Clause #339 (by superposition #[338, 319]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (r1 (skS.0 14 a a_1)) False) % 4.23/4.43 Clause #349 (by clausification #[339]): ∀ (a a_1 : Iota), Eq (r1 (skS.0 14 a a_1)) False % 4.23/4.43 Clause #350 (by superposition #[349, 336]): Eq False True % 4.23/4.43 Clause #351 (by clausification #[350]): False % 4.23/4.43 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------