%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : PRO010+4 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n023.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 07:58:08 PM UTC 2025 % Result : Theorem 5.99s 6.18s % Output : Proof 6.05s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : PRO010+4 : TPTP v9.2.0. Released v4.0.0. % 0.03/0.13 % Command : duper %s % 0.13/0.33 % Computer : n023.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % 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 08:47:38 EDT 2025 % 0.13/0.34 % CPUTime : % 5.99/6.18 SZS status Theorem for theBenchmark.p % 5.99/6.18 SZS output start Proof for theBenchmark.p % 5.99/6.18 Clause #8 (by assumption #[]): Eq (∀ (X28 X29 X30 : Iota), And (occurrence_of X28 X29) (occurrence_of X28 X30) → Eq X29 X30) True % 5.99/6.18 Clause #9 (by assumption #[]): Eq % 5.99/6.18 (∀ (X31 X32 X33 : Iota), % 5.99/6.18 And (occurrence_of X31 X33) (leaf_occ X32 X31) → Not (Exists fun X34 => min_precedes X32 X34 X33)) % 5.99/6.18 True % 5.99/6.18 Clause #32 (by assumption #[]): Eq % 5.99/6.18 (∀ (X101 : Iota), % 5.99/6.18 occurrence_of X101 tptp0 → % 5.99/6.18 Exists fun X102 => % 5.99/6.18 Exists fun X103 => % 5.99/6.18 Exists fun X104 => % 5.99/6.18 And % 5.99/6.18 (And % 5.99/6.18 (And % 5.99/6.18 (And (And (And (occurrence_of X102 tptp3) (root_occ X102 X101)) (occurrence_of X103 tptp4)) % 5.99/6.18 (next_subocc X102 X103 tptp0)) % 5.99/6.18 (Or (occurrence_of X104 tptp1) (occurrence_of X104 tptp2))) % 5.99/6.18 (next_subocc X103 X104 tptp0)) % 5.99/6.18 (leaf_occ X104 X101)) % 5.99/6.18 True % 5.99/6.18 Clause #44 (by assumption #[]): Eq (Ne tptp1 tptp2) True % 5.99/6.18 Clause #45 (by assumption #[]): Eq % 5.99/6.19 (Not % 5.99/6.19 (∀ (X105 : Iota), % 5.99/6.19 occurrence_of X105 tptp0 → % 5.99/6.19 Exists fun X106 => % 5.99/6.19 Exists fun X107 => % 5.99/6.19 And % 5.99/6.19 (And (leaf_occ X107 X105) % 5.99/6.19 (occurrence_of X107 tptp1 → % 5.99/6.19 Not (Exists fun X108 => And (occurrence_of X108 tptp2) (min_precedes X106 X108 tptp0)))) % 5.99/6.19 (occurrence_of X107 tptp2 → % 5.99/6.19 Not (Exists fun X109 => And (occurrence_of X109 tptp1) (min_precedes X106 X109 tptp0))))) % 5.99/6.19 True % 5.99/6.19 Clause #72 (by clausification #[44]): Ne tptp1 tptp2 % 5.99/6.19 Clause #129 (by clausification #[8]): ∀ (a : Iota), Eq (∀ (X29 X30 : Iota), And (occurrence_of a X29) (occurrence_of a X30) → Eq X29 X30) True % 5.99/6.19 Clause #130 (by clausification #[129]): ∀ (a a_1 : Iota), Eq (∀ (X30 : Iota), And (occurrence_of a a_1) (occurrence_of a X30) → Eq a_1 X30) True % 5.99/6.19 Clause #131 (by clausification #[130]): ∀ (a a_1 a_2 : Iota), Eq (And (occurrence_of a a_1) (occurrence_of a a_2) → Eq a_1 a_2) True % 5.99/6.19 Clause #132 (by clausification #[131]): ∀ (a a_1 a_2 : Iota), Or (Eq (And (occurrence_of a a_1) (occurrence_of a a_2)) False) (Eq (Eq a_1 a_2) True) % 5.99/6.19 Clause #133 (by clausification #[132]): ∀ (a a_1 a_2 : Iota), Or (Eq (Eq a a_1) True) (Or (Eq (occurrence_of a_2 a) False) (Eq (occurrence_of a_2 a_1) False)) % 5.99/6.19 Clause #134 (by clausification #[133]): ∀ (a a_1 a_2 : Iota), Or (Eq (occurrence_of a a_1) False) (Or (Eq (occurrence_of a a_2) False) (Eq a_1 a_2)) % 5.99/6.19 Clause #210 (by clausification #[9]): ∀ (a : Iota), % 5.99/6.19 Eq (∀ (X32 X33 : Iota), And (occurrence_of a X33) (leaf_occ X32 a) → Not (Exists fun X34 => min_precedes X32 X34 X33)) % 5.99/6.19 True % 5.99/6.19 Clause #211 (by clausification #[210]): ∀ (a a_1 : Iota), % 5.99/6.19 Eq (∀ (X33 : Iota), And (occurrence_of a X33) (leaf_occ a_1 a) → Not (Exists fun X34 => min_precedes a_1 X34 X33)) % 5.99/6.19 True % 5.99/6.19 Clause #212 (by clausification #[211]): ∀ (a a_1 a_2 : Iota), % 5.99/6.19 Eq (And (occurrence_of a a_1) (leaf_occ a_2 a) → Not (Exists fun X34 => min_precedes a_2 X34 a_1)) True % 5.99/6.19 Clause #213 (by clausification #[212]): ∀ (a a_1 a_2 : Iota), % 5.99/6.19 Or (Eq (And (occurrence_of a a_1) (leaf_occ a_2 a)) False) % 5.99/6.19 (Eq (Not (Exists fun X34 => min_precedes a_2 X34 a_1)) True) % 5.99/6.19 Clause #214 (by clausification #[213]): ∀ (a a_1 a_2 : Iota), % 5.99/6.19 Or (Eq (Not (Exists fun X34 => min_precedes a X34 a_1)) True) % 5.99/6.19 (Or (Eq (occurrence_of a_2 a_1) False) (Eq (leaf_occ a a_2) False)) % 5.99/6.19 Clause #215 (by clausification #[214]): ∀ (a a_1 a_2 : Iota), % 5.99/6.19 Or (Eq (occurrence_of a a_1) False) % 5.99/6.19 (Or (Eq (leaf_occ a_2 a) False) (Eq (Exists fun X34 => min_precedes a_2 X34 a_1) False)) % 5.99/6.19 Clause #216 (by clausification #[215]): ∀ (a a_1 a_2 a_3 : Iota), % 5.99/6.19 Or (Eq (occurrence_of a a_1) False) (Or (Eq (leaf_occ a_2 a) False) (Eq (min_precedes a_2 a_3 a_1) False)) % 5.99/6.19 Clause #293 (by clausification #[32]): ∀ (a : Iota), % 5.99/6.19 Eq % 5.99/6.19 (occurrence_of a tptp0 → % 5.99/6.19 Exists fun X102 => % 5.99/6.19 Exists fun X103 => % 5.99/6.19 Exists fun X104 => % 5.99/6.19 And % 5.99/6.19 (And % 5.99/6.19 (And % 5.99/6.19 (And (And (And (occurrence_of X102 tptp3) (root_occ X102 a)) (occurrence_of X103 tptp4)) % 5.99/6.20 (next_subocc X102 X103 tptp0)) % 5.99/6.20 (Or (occurrence_of X104 tptp1) (occurrence_of X104 tptp2))) % 5.99/6.20 (next_subocc X103 X104 tptp0)) % 5.99/6.20 (leaf_occ X104 a)) % 5.99/6.20 True % 5.99/6.20 Clause #294 (by clausification #[293]): ∀ (a : Iota), % 5.99/6.20 Or (Eq (occurrence_of a tptp0) False) % 5.99/6.20 (Eq % 5.99/6.20 (Exists fun X102 => % 5.99/6.20 Exists fun X103 => % 5.99/6.20 Exists fun X104 => % 5.99/6.20 And % 5.99/6.20 (And % 5.99/6.20 (And % 5.99/6.20 (And (And (And (occurrence_of X102 tptp3) (root_occ X102 a)) (occurrence_of X103 tptp4)) % 5.99/6.20 (next_subocc X102 X103 tptp0)) % 5.99/6.20 (Or (occurrence_of X104 tptp1) (occurrence_of X104 tptp2))) % 5.99/6.20 (next_subocc X103 X104 tptp0)) % 5.99/6.20 (leaf_occ X104 a)) % 5.99/6.20 True) % 5.99/6.20 Clause #295 (by clausification #[294]): ∀ (a a_1 : Iota), % 5.99/6.20 Or (Eq (occurrence_of a tptp0) False) % 5.99/6.20 (Eq % 5.99/6.20 (Exists fun X103 => % 5.99/6.20 Exists fun X104 => % 5.99/6.20 And % 5.99/6.20 (And % 5.99/6.20 (And % 5.99/6.20 (And % 5.99/6.20 (And (And (occurrence_of (skS.0 12 a a_1) tptp3) (root_occ (skS.0 12 a a_1) a)) % 5.99/6.20 (occurrence_of X103 tptp4)) % 5.99/6.20 (next_subocc (skS.0 12 a a_1) X103 tptp0)) % 5.99/6.20 (Or (occurrence_of X104 tptp1) (occurrence_of X104 tptp2))) % 5.99/6.20 (next_subocc X103 X104 tptp0)) % 5.99/6.20 (leaf_occ X104 a)) % 5.99/6.20 True) % 5.99/6.20 Clause #296 (by clausification #[295]): ∀ (a a_1 a_2 : Iota), % 5.99/6.20 Or (Eq (occurrence_of a tptp0) False) % 5.99/6.20 (Eq % 5.99/6.20 (Exists fun X104 => % 5.99/6.20 And % 5.99/6.20 (And % 5.99/6.20 (And % 5.99/6.20 (And % 5.99/6.20 (And (And (occurrence_of (skS.0 12 a a_1) tptp3) (root_occ (skS.0 12 a a_1) a)) % 5.99/6.20 (occurrence_of (skS.0 13 a a_1 a_2) tptp4)) % 5.99/6.20 (next_subocc (skS.0 12 a a_1) (skS.0 13 a a_1 a_2) tptp0)) % 5.99/6.20 (Or (occurrence_of X104 tptp1) (occurrence_of X104 tptp2))) % 5.99/6.20 (next_subocc (skS.0 13 a a_1 a_2) X104 tptp0)) % 5.99/6.20 (leaf_occ X104 a)) % 5.99/6.20 True) % 5.99/6.20 Clause #297 (by clausification #[296]): ∀ (a a_1 a_2 a_3 : Iota), % 5.99/6.20 Or (Eq (occurrence_of a tptp0) False) % 5.99/6.20 (Eq % 5.99/6.20 (And % 5.99/6.20 (And % 5.99/6.20 (And % 5.99/6.20 (And % 5.99/6.20 (And (And (occurrence_of (skS.0 12 a a_1) tptp3) (root_occ (skS.0 12 a a_1) a)) % 5.99/6.20 (occurrence_of (skS.0 13 a a_1 a_2) tptp4)) % 5.99/6.20 (next_subocc (skS.0 12 a a_1) (skS.0 13 a a_1 a_2) tptp0)) % 5.99/6.20 (Or (occurrence_of (skS.0 14 a a_1 a_2 a_3) tptp1) (occurrence_of (skS.0 14 a a_1 a_2 a_3) tptp2))) % 5.99/6.20 (next_subocc (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) tptp0)) % 5.99/6.20 (leaf_occ (skS.0 14 a a_1 a_2 a_3) a)) % 5.99/6.20 True) % 5.99/6.20 Clause #298 (by clausification #[297]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (occurrence_of a tptp0) False) (Eq (leaf_occ (skS.0 14 a a_1 a_2 a_3) a) True) % 5.99/6.20 Clause #308 (by clausification #[45]): Eq % 5.99/6.20 (∀ (X105 : Iota), % 5.99/6.20 occurrence_of X105 tptp0 → % 5.99/6.20 Exists fun X106 => % 5.99/6.20 Exists fun X107 => % 5.99/6.20 And % 5.99/6.20 (And (leaf_occ X107 X105) % 5.99/6.20 (occurrence_of X107 tptp1 → % 5.99/6.20 Not (Exists fun X108 => And (occurrence_of X108 tptp2) (min_precedes X106 X108 tptp0)))) % 5.99/6.20 (occurrence_of X107 tptp2 → % 5.99/6.20 Not (Exists fun X109 => And (occurrence_of X109 tptp1) (min_precedes X106 X109 tptp0)))) % 5.99/6.20 False % 5.99/6.20 Clause #309 (by clausification #[308]): ∀ (a : Iota), % 5.99/6.20 Eq % 5.99/6.20 (Not % 5.99/6.20 (occurrence_of (skS.0 16 a) tptp0 → % 5.99/6.20 Exists fun X106 => % 5.99/6.20 Exists fun X107 => % 5.99/6.20 And % 5.99/6.20 (And (leaf_occ X107 (skS.0 16 a)) % 5.99/6.20 (occurrence_of X107 tptp1 → % 5.99/6.20 Not (Exists fun X108 => And (occurrence_of X108 tptp2) (min_precedes X106 X108 tptp0)))) % 5.99/6.20 (occurrence_of X107 tptp2 → % 5.99/6.20 Not (Exists fun X109 => And (occurrence_of X109 tptp1) (min_precedes X106 X109 tptp0))))) % 5.99/6.20 True % 5.99/6.20 Clause #310 (by clausification #[309]): ∀ (a : Iota), % 5.99/6.20 Eq % 5.99/6.20 (occurrence_of (skS.0 16 a) tptp0 → % 5.99/6.20 Exists fun X106 => % 5.99/6.20 Exists fun X107 => % 5.99/6.20 And % 5.99/6.20 (And (leaf_occ X107 (skS.0 16 a)) % 5.99/6.20 (occurrence_of X107 tptp1 → % 6.05/6.22 Not (Exists fun X108 => And (occurrence_of X108 tptp2) (min_precedes X106 X108 tptp0)))) % 6.05/6.22 (occurrence_of X107 tptp2 → % 6.05/6.22 Not (Exists fun X109 => And (occurrence_of X109 tptp1) (min_precedes X106 X109 tptp0)))) % 6.05/6.22 False % 6.05/6.22 Clause #311 (by clausification #[310]): ∀ (a : Iota), Eq (occurrence_of (skS.0 16 a) tptp0) True % 6.05/6.22 Clause #312 (by clausification #[310]): ∀ (a : Iota), % 6.05/6.22 Eq % 6.05/6.22 (Exists fun X106 => % 6.05/6.22 Exists fun X107 => % 6.05/6.22 And % 6.05/6.22 (And (leaf_occ X107 (skS.0 16 a)) % 6.05/6.22 (occurrence_of X107 tptp1 → % 6.05/6.22 Not (Exists fun X108 => And (occurrence_of X108 tptp2) (min_precedes X106 X108 tptp0)))) % 6.05/6.22 (occurrence_of X107 tptp2 → % 6.05/6.22 Not (Exists fun X109 => And (occurrence_of X109 tptp1) (min_precedes X106 X109 tptp0)))) % 6.05/6.22 False % 6.05/6.22 Clause #313 (by superposition #[311, 298]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (leaf_occ (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) (skS.0 16 a)) True) % 6.05/6.22 Clause #321 (by superposition #[311, 216]): ∀ (a a_1 a_2 : Iota), % 6.05/6.22 Or (Eq True False) (Or (Eq (leaf_occ a (skS.0 16 a_1)) False) (Eq (min_precedes a a_2 tptp0) False)) % 6.05/6.22 Clause #337 (by clausification #[321]): ∀ (a a_1 a_2 : Iota), Or (Eq (leaf_occ a (skS.0 16 a_1)) False) (Eq (min_precedes a a_2 tptp0) False) % 6.05/6.22 Clause #367 (by clausification #[312]): ∀ (a a_1 : Iota), % 6.05/6.22 Eq % 6.05/6.22 (Exists fun X107 => % 6.05/6.22 And % 6.05/6.22 (And (leaf_occ X107 (skS.0 16 a)) % 6.05/6.22 (occurrence_of X107 tptp1 → % 6.05/6.22 Not (Exists fun X108 => And (occurrence_of X108 tptp2) (min_precedes a_1 X108 tptp0)))) % 6.05/6.22 (occurrence_of X107 tptp2 → % 6.05/6.22 Not (Exists fun X109 => And (occurrence_of X109 tptp1) (min_precedes a_1 X109 tptp0)))) % 6.05/6.22 False % 6.05/6.22 Clause #368 (by clausification #[367]): ∀ (a a_1 a_2 : Iota), % 6.05/6.22 Eq % 6.05/6.22 (And % 6.05/6.22 (And (leaf_occ a (skS.0 16 a_1)) % 6.05/6.22 (occurrence_of a tptp1 → Not (Exists fun X108 => And (occurrence_of X108 tptp2) (min_precedes a_2 X108 tptp0)))) % 6.05/6.22 (occurrence_of a tptp2 → Not (Exists fun X109 => And (occurrence_of X109 tptp1) (min_precedes a_2 X109 tptp0)))) % 6.05/6.22 False % 6.05/6.22 Clause #369 (by clausification #[368]): ∀ (a a_1 a_2 : Iota), % 6.05/6.22 Or % 6.05/6.22 (Eq % 6.05/6.22 (And (leaf_occ a (skS.0 16 a_1)) % 6.05/6.22 (occurrence_of a tptp1 → Not (Exists fun X108 => And (occurrence_of X108 tptp2) (min_precedes a_2 X108 tptp0)))) % 6.05/6.22 False) % 6.05/6.22 (Eq (occurrence_of a tptp2 → Not (Exists fun X109 => And (occurrence_of X109 tptp1) (min_precedes a_2 X109 tptp0))) % 6.05/6.22 False) % 6.05/6.22 Clause #370 (by clausification #[369]): ∀ (a a_1 a_2 : Iota), % 6.05/6.22 Or % 6.05/6.22 (Eq (occurrence_of a tptp2 → Not (Exists fun X109 => And (occurrence_of X109 tptp1) (min_precedes a_1 X109 tptp0))) % 6.05/6.22 False) % 6.05/6.22 (Or (Eq (leaf_occ a (skS.0 16 a_2)) False) % 6.05/6.22 (Eq % 6.05/6.22 (occurrence_of a tptp1 → Not (Exists fun X108 => And (occurrence_of X108 tptp2) (min_precedes a_1 X108 tptp0))) % 6.05/6.22 False)) % 6.05/6.22 Clause #371 (by clausification #[370]): ∀ (a a_1 a_2 : Iota), % 6.05/6.22 Or (Eq (leaf_occ a (skS.0 16 a_1)) False) % 6.05/6.22 (Or % 6.05/6.22 (Eq % 6.05/6.22 (occurrence_of a tptp1 → Not (Exists fun X108 => And (occurrence_of X108 tptp2) (min_precedes a_2 X108 tptp0))) % 6.05/6.22 False) % 6.05/6.22 (Eq (occurrence_of a tptp2) True)) % 6.05/6.22 Clause #372 (by clausification #[370]): ∀ (a a_1 a_2 : Iota), % 6.05/6.22 Or (Eq (leaf_occ a (skS.0 16 a_1)) False) % 6.05/6.22 (Or % 6.05/6.22 (Eq % 6.05/6.22 (occurrence_of a tptp1 → Not (Exists fun X108 => And (occurrence_of X108 tptp2) (min_precedes a_2 X108 tptp0))) % 6.05/6.22 False) % 6.05/6.22 (Eq (Not (Exists fun X109 => And (occurrence_of X109 tptp1) (min_precedes a_2 X109 tptp0))) False)) % 6.05/6.22 Clause #374 (by clausification #[371]): ∀ (a a_1 a_2 : Iota), % 6.05/6.22 Or (Eq (leaf_occ a (skS.0 16 a_1)) False) % 6.05/6.22 (Or (Eq (occurrence_of a tptp2) True) % 6.05/6.22 (Eq (Not (Exists fun X108 => And (occurrence_of X108 tptp2) (min_precedes a_2 X108 tptp0))) False)) % 6.05/6.22 Clause #382 (by clausification #[374]): ∀ (a a_1 a_2 : Iota), % 6.05/6.22 Or (Eq (leaf_occ a (skS.0 16 a_1)) False) % 6.05/6.22 (Or (Eq (occurrence_of a tptp2) True) % 6.05/6.22 (Eq (Exists fun X108 => And (occurrence_of X108 tptp2) (min_precedes a_2 X108 tptp0)) True)) % 6.05/6.25 Clause #383 (by clausification #[382]): ∀ (a a_1 a_2 a_3 : Iota), % 6.05/6.25 Or (Eq (leaf_occ a (skS.0 16 a_1)) False) % 6.05/6.25 (Or (Eq (occurrence_of a tptp2) True) % 6.05/6.25 (Eq (And (occurrence_of (skS.0 17 a_2 a_3) tptp2) (min_precedes a_2 (skS.0 17 a_2 a_3) tptp0)) True)) % 6.05/6.25 Clause #384 (by clausification #[383]): ∀ (a a_1 a_2 a_3 : Iota), % 6.05/6.25 Or (Eq (leaf_occ a (skS.0 16 a_1)) False) % 6.05/6.25 (Or (Eq (occurrence_of a tptp2) True) (Eq (min_precedes a_2 (skS.0 17 a_2 a_3) tptp0) True)) % 6.05/6.25 Clause #386 (by clausification #[313]): ∀ (a a_1 a_2 a_3 : Iota), Eq (leaf_occ (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) (skS.0 16 a)) True % 6.05/6.25 Clause #387 (by superposition #[386, 337]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq True False) (Eq (min_precedes (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4 tptp0) False) % 6.05/6.25 Clause #389 (by superposition #[386, 384]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 6.05/6.25 Or (Eq True False) % 6.05/6.25 (Or (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp2) True) % 6.05/6.25 (Eq (min_precedes a_4 (skS.0 17 a_4 a_5) tptp0) True)) % 6.05/6.25 Clause #394 (by clausification #[387]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (min_precedes (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4 tptp0) False % 6.05/6.25 Clause #523 (by clausification #[389]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 6.05/6.25 Or (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp2) True) % 6.05/6.25 (Eq (min_precedes a_4 (skS.0 17 a_4 a_5) tptp0) True) % 6.05/6.25 Clause #534 (by superposition #[523, 394]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp2) True) (Eq True False) % 6.05/6.25 Clause #548 (by clausification #[534]): ∀ (a a_1 a_2 a_3 : Iota), Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp2) True % 6.05/6.25 Clause #552 (by superposition #[548, 134]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 6.05/6.25 Or (Eq True False) (Or (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) False) (Eq tptp2 a_4)) % 6.05/6.25 Clause #566 (by clausification #[552]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) False) (Eq tptp2 a_4) % 6.05/6.25 Clause #593 (by clausification #[372]): ∀ (a a_1 a_2 : Iota), % 6.05/6.25 Or (Eq (leaf_occ a (skS.0 16 a_1)) False) % 6.05/6.25 (Or (Eq (Not (Exists fun X109 => And (occurrence_of X109 tptp1) (min_precedes a_2 X109 tptp0))) False) % 6.05/6.25 (Eq (occurrence_of a tptp1) True)) % 6.05/6.25 Clause #595 (by clausification #[593]): ∀ (a a_1 a_2 : Iota), % 6.05/6.25 Or (Eq (leaf_occ a (skS.0 16 a_1)) False) % 6.05/6.25 (Or (Eq (occurrence_of a tptp1) True) % 6.05/6.25 (Eq (Exists fun X109 => And (occurrence_of X109 tptp1) (min_precedes a_2 X109 tptp0)) True)) % 6.05/6.25 Clause #596 (by clausification #[595]): ∀ (a a_1 a_2 a_3 : Iota), % 6.05/6.25 Or (Eq (leaf_occ a (skS.0 16 a_1)) False) % 6.05/6.25 (Or (Eq (occurrence_of a tptp1) True) % 6.05/6.25 (Eq (And (occurrence_of (skS.0 18 a_2 a_3) tptp1) (min_precedes a_2 (skS.0 18 a_2 a_3) tptp0)) True)) % 6.05/6.25 Clause #597 (by clausification #[596]): ∀ (a a_1 a_2 a_3 : Iota), % 6.05/6.25 Or (Eq (leaf_occ a (skS.0 16 a_1)) False) % 6.05/6.25 (Or (Eq (occurrence_of a tptp1) True) (Eq (min_precedes a_2 (skS.0 18 a_2 a_3) tptp0) True)) % 6.05/6.25 Clause #599 (by superposition #[597, 386]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 6.05/6.25 Or (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp1) True) % 6.05/6.25 (Or (Eq (min_precedes a_4 (skS.0 18 a_4 a_5) tptp0) True) (Eq False True)) % 6.05/6.25 Clause #704 (by clausification #[599]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 6.05/6.25 Or (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp1) True) % 6.05/6.25 (Eq (min_precedes a_4 (skS.0 18 a_4 a_5) tptp0) True) % 6.05/6.25 Clause #705 (by superposition #[704, 566]): ∀ (a a_1 : Iota), Or (Eq (min_precedes a (skS.0 18 a a_1) tptp0) True) (Or (Eq True False) (Eq tptp2 tptp1)) % 6.05/6.25 Clause #728 (by clausification #[705]): ∀ (a a_1 : Iota), Or (Eq (min_precedes a (skS.0 18 a a_1) tptp0) True) (Eq tptp2 tptp1) % 6.05/6.25 Clause #729 (by forward contextual literal cutting #[728, 72]): ∀ (a a_1 : Iota), Eq (min_precedes a (skS.0 18 a a_1) tptp0) True % 6.05/6.25 Clause #730 (by superposition #[729, 394]): Eq True False % 6.05/6.25 Clause #742 (by clausification #[730]): False % 6.05/6.25 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------