%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : PRO011+4 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n016.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 5.55s 5.71s % Output : Proof 5.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : PRO011+4 : TPTP v9.2.0. Released v4.0.0. % 0.07/0.13 % Command : duper %s % 0.13/0.34 % Computer : n016.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 08:46:53 EDT 2025 % 0.13/0.34 % CPUTime : % 5.55/5.71 SZS status Theorem for theBenchmark.p % 5.55/5.71 SZS output start Proof for theBenchmark.p % 5.55/5.71 Clause #8 (by assumption #[]): Eq (∀ (X28 X29 X30 : Iota), And (occurrence_of X28 X29) (occurrence_of X28 X30) → Eq X29 X30) True % 5.55/5.71 Clause #9 (by assumption #[]): Eq % 5.55/5.71 (∀ (X31 X32 X33 : Iota), % 5.55/5.71 And (occurrence_of X31 X33) (leaf_occ X32 X31) → Not (Exists fun X34 => min_precedes X32 X34 X33)) % 5.55/5.71 True % 5.55/5.71 Clause #32 (by assumption #[]): Eq % 5.55/5.71 (∀ (X101 : Iota), % 5.55/5.71 occurrence_of X101 tptp0 → % 5.55/5.71 Exists fun X102 => % 5.55/5.71 Exists fun X103 => % 5.55/5.71 Exists fun X104 => % 5.55/5.71 And % 5.55/5.71 (And % 5.55/5.71 (And % 5.55/5.71 (And (And (And (occurrence_of X102 tptp3) (root_occ X102 X101)) (occurrence_of X103 tptp4)) % 5.55/5.71 (next_subocc X102 X103 tptp0)) % 5.55/5.71 (Or (occurrence_of X104 tptp1) (occurrence_of X104 tptp2))) % 5.55/5.71 (next_subocc X103 X104 tptp0)) % 5.55/5.71 (leaf_occ X104 X101)) % 5.55/5.71 True % 5.55/5.71 Clause #44 (by assumption #[]): Eq (Ne tptp1 tptp2) True % 5.55/5.71 Clause #45 (by assumption #[]): Eq % 5.55/5.71 (Not % 5.55/5.71 (∀ (X105 : Iota), % 5.55/5.71 occurrence_of X105 tptp0 → % 5.55/5.71 Exists fun X106 => % 5.55/5.71 Exists fun X107 => % 5.55/5.71 And % 5.55/5.71 (And (leaf_occ X107 X105) % 5.55/5.71 (occurrence_of X107 tptp1 → % 5.55/5.71 Not % 5.55/5.71 (Exists fun X108 => % 5.55/5.71 And (And (occurrence_of X108 tptp2) (subactivity_occurrence X108 X105)) % 5.55/5.71 (min_precedes X106 X108 tptp0)))) % 5.55/5.71 (occurrence_of X107 tptp2 → % 5.55/5.71 Not % 5.55/5.71 (Exists fun X109 => % 5.55/5.71 And (And (occurrence_of X109 tptp1) (subactivity_occurrence X109 X105)) % 5.55/5.71 (min_precedes X106 X109 tptp0))))) % 5.55/5.71 True % 5.55/5.71 Clause #72 (by clausification #[44]): Ne tptp1 tptp2 % 5.55/5.71 Clause #129 (by clausification #[8]): ∀ (a : Iota), Eq (∀ (X29 X30 : Iota), And (occurrence_of a X29) (occurrence_of a X30) → Eq X29 X30) True % 5.55/5.71 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 % 5.55/5.71 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 % 5.55/5.71 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) % 5.55/5.71 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)) % 5.55/5.71 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)) % 5.55/5.71 Clause #210 (by clausification #[9]): ∀ (a : Iota), % 5.55/5.71 Eq (∀ (X32 X33 : Iota), And (occurrence_of a X33) (leaf_occ X32 a) → Not (Exists fun X34 => min_precedes X32 X34 X33)) % 5.55/5.71 True % 5.55/5.71 Clause #211 (by clausification #[210]): ∀ (a a_1 : Iota), % 5.55/5.71 Eq (∀ (X33 : Iota), And (occurrence_of a X33) (leaf_occ a_1 a) → Not (Exists fun X34 => min_precedes a_1 X34 X33)) % 5.55/5.71 True % 5.55/5.71 Clause #212 (by clausification #[211]): ∀ (a a_1 a_2 : Iota), % 5.55/5.71 Eq (And (occurrence_of a a_1) (leaf_occ a_2 a) → Not (Exists fun X34 => min_precedes a_2 X34 a_1)) True % 5.55/5.71 Clause #213 (by clausification #[212]): ∀ (a a_1 a_2 : Iota), % 5.55/5.71 Or (Eq (And (occurrence_of a a_1) (leaf_occ a_2 a)) False) % 5.55/5.71 (Eq (Not (Exists fun X34 => min_precedes a_2 X34 a_1)) True) % 5.55/5.71 Clause #214 (by clausification #[213]): ∀ (a a_1 a_2 : Iota), % 5.55/5.71 Or (Eq (Not (Exists fun X34 => min_precedes a X34 a_1)) True) % 5.55/5.71 (Or (Eq (occurrence_of a_2 a_1) False) (Eq (leaf_occ a a_2) False)) % 5.55/5.71 Clause #215 (by clausification #[214]): ∀ (a a_1 a_2 : Iota), % 5.55/5.71 Or (Eq (occurrence_of a a_1) False) % 5.55/5.71 (Or (Eq (leaf_occ a_2 a) False) (Eq (Exists fun X34 => min_precedes a_2 X34 a_1) False)) % 5.55/5.71 Clause #216 (by clausification #[215]): ∀ (a a_1 a_2 a_3 : Iota), % 5.55/5.71 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)) % 5.55/5.71 Clause #293 (by clausification #[32]): ∀ (a : Iota), % 5.55/5.71 Eq % 5.55/5.71 (occurrence_of a tptp0 → % 5.55/5.71 Exists fun X102 => % 5.55/5.73 Exists fun X103 => % 5.55/5.73 Exists fun X104 => % 5.55/5.73 And % 5.55/5.73 (And % 5.55/5.73 (And % 5.55/5.73 (And (And (And (occurrence_of X102 tptp3) (root_occ X102 a)) (occurrence_of X103 tptp4)) % 5.55/5.73 (next_subocc X102 X103 tptp0)) % 5.55/5.73 (Or (occurrence_of X104 tptp1) (occurrence_of X104 tptp2))) % 5.55/5.73 (next_subocc X103 X104 tptp0)) % 5.55/5.73 (leaf_occ X104 a)) % 5.55/5.73 True % 5.55/5.73 Clause #294 (by clausification #[293]): ∀ (a : Iota), % 5.55/5.73 Or (Eq (occurrence_of a tptp0) False) % 5.55/5.73 (Eq % 5.55/5.73 (Exists fun X102 => % 5.55/5.73 Exists fun X103 => % 5.55/5.73 Exists fun X104 => % 5.55/5.73 And % 5.55/5.73 (And % 5.55/5.73 (And % 5.55/5.73 (And (And (And (occurrence_of X102 tptp3) (root_occ X102 a)) (occurrence_of X103 tptp4)) % 5.55/5.73 (next_subocc X102 X103 tptp0)) % 5.55/5.73 (Or (occurrence_of X104 tptp1) (occurrence_of X104 tptp2))) % 5.55/5.73 (next_subocc X103 X104 tptp0)) % 5.55/5.73 (leaf_occ X104 a)) % 5.55/5.73 True) % 5.55/5.73 Clause #295 (by clausification #[294]): ∀ (a a_1 : Iota), % 5.55/5.73 Or (Eq (occurrence_of a tptp0) False) % 5.55/5.73 (Eq % 5.55/5.73 (Exists fun X103 => % 5.55/5.73 Exists fun X104 => % 5.55/5.73 And % 5.55/5.73 (And % 5.55/5.73 (And % 5.55/5.73 (And % 5.55/5.73 (And (And (occurrence_of (skS.0 12 a a_1) tptp3) (root_occ (skS.0 12 a a_1) a)) % 5.55/5.73 (occurrence_of X103 tptp4)) % 5.55/5.73 (next_subocc (skS.0 12 a a_1) X103 tptp0)) % 5.55/5.73 (Or (occurrence_of X104 tptp1) (occurrence_of X104 tptp2))) % 5.55/5.73 (next_subocc X103 X104 tptp0)) % 5.55/5.73 (leaf_occ X104 a)) % 5.55/5.73 True) % 5.55/5.73 Clause #296 (by clausification #[295]): ∀ (a a_1 a_2 : Iota), % 5.55/5.73 Or (Eq (occurrence_of a tptp0) False) % 5.55/5.73 (Eq % 5.55/5.73 (Exists fun X104 => % 5.55/5.73 And % 5.55/5.73 (And % 5.55/5.73 (And % 5.55/5.73 (And % 5.55/5.73 (And (And (occurrence_of (skS.0 12 a a_1) tptp3) (root_occ (skS.0 12 a a_1) a)) % 5.55/5.73 (occurrence_of (skS.0 13 a a_1 a_2) tptp4)) % 5.55/5.73 (next_subocc (skS.0 12 a a_1) (skS.0 13 a a_1 a_2) tptp0)) % 5.55/5.73 (Or (occurrence_of X104 tptp1) (occurrence_of X104 tptp2))) % 5.55/5.73 (next_subocc (skS.0 13 a a_1 a_2) X104 tptp0)) % 5.55/5.73 (leaf_occ X104 a)) % 5.55/5.73 True) % 5.55/5.73 Clause #297 (by clausification #[296]): ∀ (a a_1 a_2 a_3 : Iota), % 5.55/5.73 Or (Eq (occurrence_of a tptp0) False) % 5.55/5.73 (Eq % 5.55/5.73 (And % 5.55/5.73 (And % 5.55/5.73 (And % 5.55/5.73 (And % 5.55/5.73 (And (And (occurrence_of (skS.0 12 a a_1) tptp3) (root_occ (skS.0 12 a a_1) a)) % 5.55/5.73 (occurrence_of (skS.0 13 a a_1 a_2) tptp4)) % 5.55/5.73 (next_subocc (skS.0 12 a a_1) (skS.0 13 a a_1 a_2) tptp0)) % 5.55/5.73 (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))) % 5.55/5.73 (next_subocc (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) tptp0)) % 5.55/5.73 (leaf_occ (skS.0 14 a a_1 a_2 a_3) a)) % 5.55/5.73 True) % 5.55/5.73 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) % 5.55/5.73 Clause #308 (by clausification #[45]): Eq % 5.55/5.73 (∀ (X105 : Iota), % 5.55/5.73 occurrence_of X105 tptp0 → % 5.55/5.73 Exists fun X106 => % 5.55/5.73 Exists fun X107 => % 5.55/5.73 And % 5.55/5.73 (And (leaf_occ X107 X105) % 5.55/5.73 (occurrence_of X107 tptp1 → % 5.55/5.73 Not % 5.55/5.73 (Exists fun X108 => % 5.55/5.73 And (And (occurrence_of X108 tptp2) (subactivity_occurrence X108 X105)) % 5.55/5.73 (min_precedes X106 X108 tptp0)))) % 5.55/5.73 (occurrence_of X107 tptp2 → % 5.55/5.73 Not % 5.55/5.73 (Exists fun X109 => % 5.55/5.73 And (And (occurrence_of X109 tptp1) (subactivity_occurrence X109 X105)) % 5.55/5.73 (min_precedes X106 X109 tptp0)))) % 5.55/5.73 False % 5.55/5.73 Clause #309 (by clausification #[308]): ∀ (a : Iota), % 5.55/5.73 Eq % 5.55/5.73 (Not % 5.55/5.73 (occurrence_of (skS.0 16 a) tptp0 → % 5.55/5.73 Exists fun X106 => % 5.55/5.73 Exists fun X107 => % 5.55/5.73 And % 5.55/5.73 (And (leaf_occ X107 (skS.0 16 a)) % 5.55/5.73 (occurrence_of X107 tptp1 → % 5.55/5.73 Not % 5.55/5.73 (Exists fun X108 => % 5.55/5.73 And (And (occurrence_of X108 tptp2) (subactivity_occurrence X108 (skS.0 16 a))) % 5.59/5.75 (min_precedes X106 X108 tptp0)))) % 5.59/5.75 (occurrence_of X107 tptp2 → % 5.59/5.75 Not % 5.59/5.75 (Exists fun X109 => % 5.59/5.75 And (And (occurrence_of X109 tptp1) (subactivity_occurrence X109 (skS.0 16 a))) % 5.59/5.75 (min_precedes X106 X109 tptp0))))) % 5.59/5.75 True % 5.59/5.75 Clause #310 (by clausification #[309]): ∀ (a : Iota), % 5.59/5.75 Eq % 5.59/5.75 (occurrence_of (skS.0 16 a) tptp0 → % 5.59/5.75 Exists fun X106 => % 5.59/5.75 Exists fun X107 => % 5.59/5.75 And % 5.59/5.75 (And (leaf_occ X107 (skS.0 16 a)) % 5.59/5.75 (occurrence_of X107 tptp1 → % 5.59/5.75 Not % 5.59/5.75 (Exists fun X108 => % 5.59/5.75 And (And (occurrence_of X108 tptp2) (subactivity_occurrence X108 (skS.0 16 a))) % 5.59/5.75 (min_precedes X106 X108 tptp0)))) % 5.59/5.75 (occurrence_of X107 tptp2 → % 5.59/5.75 Not % 5.59/5.75 (Exists fun X109 => % 5.59/5.75 And (And (occurrence_of X109 tptp1) (subactivity_occurrence X109 (skS.0 16 a))) % 5.59/5.75 (min_precedes X106 X109 tptp0)))) % 5.59/5.75 False % 5.59/5.75 Clause #311 (by clausification #[310]): ∀ (a : Iota), Eq (occurrence_of (skS.0 16 a) tptp0) True % 5.59/5.75 Clause #312 (by clausification #[310]): ∀ (a : Iota), % 5.59/5.75 Eq % 5.59/5.75 (Exists fun X106 => % 5.59/5.75 Exists fun X107 => % 5.59/5.75 And % 5.59/5.75 (And (leaf_occ X107 (skS.0 16 a)) % 5.59/5.75 (occurrence_of X107 tptp1 → % 5.59/5.75 Not % 5.59/5.75 (Exists fun X108 => % 5.59/5.75 And (And (occurrence_of X108 tptp2) (subactivity_occurrence X108 (skS.0 16 a))) % 5.59/5.75 (min_precedes X106 X108 tptp0)))) % 5.59/5.75 (occurrence_of X107 tptp2 → % 5.59/5.75 Not % 5.59/5.75 (Exists fun X109 => % 5.59/5.75 And (And (occurrence_of X109 tptp1) (subactivity_occurrence X109 (skS.0 16 a))) % 5.59/5.75 (min_precedes X106 X109 tptp0)))) % 5.59/5.75 False % 5.59/5.75 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) % 5.59/5.75 Clause #321 (by superposition #[311, 216]): ∀ (a a_1 a_2 : Iota), % 5.59/5.75 Or (Eq True False) (Or (Eq (leaf_occ a (skS.0 16 a_1)) False) (Eq (min_precedes a a_2 tptp0) False)) % 5.59/5.75 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) % 5.59/5.75 Clause #367 (by clausification #[312]): ∀ (a a_1 : Iota), % 5.59/5.75 Eq % 5.59/5.75 (Exists fun X107 => % 5.59/5.75 And % 5.59/5.75 (And (leaf_occ X107 (skS.0 16 a)) % 5.59/5.75 (occurrence_of X107 tptp1 → % 5.59/5.75 Not % 5.59/5.75 (Exists fun X108 => % 5.59/5.75 And (And (occurrence_of X108 tptp2) (subactivity_occurrence X108 (skS.0 16 a))) % 5.59/5.75 (min_precedes a_1 X108 tptp0)))) % 5.59/5.75 (occurrence_of X107 tptp2 → % 5.59/5.75 Not % 5.59/5.75 (Exists fun X109 => % 5.59/5.75 And (And (occurrence_of X109 tptp1) (subactivity_occurrence X109 (skS.0 16 a))) % 5.59/5.75 (min_precedes a_1 X109 tptp0)))) % 5.59/5.75 False % 5.59/5.75 Clause #368 (by clausification #[367]): ∀ (a a_1 a_2 : Iota), % 5.59/5.75 Eq % 5.59/5.75 (And % 5.59/5.75 (And (leaf_occ a (skS.0 16 a_1)) % 5.59/5.75 (occurrence_of a tptp1 → % 5.59/5.75 Not % 5.59/5.75 (Exists fun X108 => % 5.59/5.75 And (And (occurrence_of X108 tptp2) (subactivity_occurrence X108 (skS.0 16 a_1))) % 5.59/5.75 (min_precedes a_2 X108 tptp0)))) % 5.59/5.75 (occurrence_of a tptp2 → % 5.59/5.75 Not % 5.59/5.75 (Exists fun X109 => % 5.59/5.75 And (And (occurrence_of X109 tptp1) (subactivity_occurrence X109 (skS.0 16 a_1))) % 5.59/5.75 (min_precedes a_2 X109 tptp0)))) % 5.59/5.75 False % 5.59/5.75 Clause #369 (by clausification #[368]): ∀ (a a_1 a_2 : Iota), % 5.59/5.75 Or % 5.59/5.75 (Eq % 5.59/5.75 (And (leaf_occ a (skS.0 16 a_1)) % 5.59/5.75 (occurrence_of a tptp1 → % 5.59/5.75 Not % 5.59/5.75 (Exists fun X108 => % 5.59/5.75 And (And (occurrence_of X108 tptp2) (subactivity_occurrence X108 (skS.0 16 a_1))) % 5.59/5.75 (min_precedes a_2 X108 tptp0)))) % 5.59/5.75 False) % 5.59/5.75 (Eq % 5.59/5.75 (occurrence_of a tptp2 → % 5.59/5.75 Not % 5.59/5.75 (Exists fun X109 => % 5.59/5.75 And (And (occurrence_of X109 tptp1) (subactivity_occurrence X109 (skS.0 16 a_1))) % 5.59/5.75 (min_precedes a_2 X109 tptp0))) % 5.59/5.77 False) % 5.59/5.77 Clause #370 (by clausification #[369]): ∀ (a a_1 a_2 : Iota), % 5.59/5.77 Or % 5.59/5.77 (Eq % 5.59/5.77 (occurrence_of a tptp2 → % 5.59/5.77 Not % 5.59/5.77 (Exists fun X109 => % 5.59/5.77 And (And (occurrence_of X109 tptp1) (subactivity_occurrence X109 (skS.0 16 a_1))) % 5.59/5.77 (min_precedes a_2 X109 tptp0))) % 5.59/5.77 False) % 5.59/5.77 (Or (Eq (leaf_occ a (skS.0 16 a_1)) False) % 5.59/5.77 (Eq % 5.59/5.77 (occurrence_of a tptp1 → % 5.59/5.77 Not % 5.59/5.77 (Exists fun X108 => % 5.59/5.77 And (And (occurrence_of X108 tptp2) (subactivity_occurrence X108 (skS.0 16 a_1))) % 5.59/5.77 (min_precedes a_2 X108 tptp0))) % 5.59/5.77 False)) % 5.59/5.77 Clause #371 (by clausification #[370]): ∀ (a a_1 a_2 : Iota), % 5.59/5.77 Or (Eq (leaf_occ a (skS.0 16 a_1)) False) % 5.59/5.77 (Or % 5.59/5.77 (Eq % 5.59/5.77 (occurrence_of a tptp1 → % 5.59/5.77 Not % 5.59/5.77 (Exists fun X108 => % 5.59/5.77 And (And (occurrence_of X108 tptp2) (subactivity_occurrence X108 (skS.0 16 a_1))) % 5.59/5.77 (min_precedes a_2 X108 tptp0))) % 5.59/5.77 False) % 5.59/5.77 (Eq (occurrence_of a tptp2) True)) % 5.59/5.77 Clause #372 (by clausification #[370]): ∀ (a a_1 a_2 : Iota), % 5.59/5.77 Or (Eq (leaf_occ a (skS.0 16 a_1)) False) % 5.59/5.77 (Or % 5.59/5.77 (Eq % 5.59/5.77 (occurrence_of a tptp1 → % 5.59/5.77 Not % 5.59/5.77 (Exists fun X108 => % 5.59/5.77 And (And (occurrence_of X108 tptp2) (subactivity_occurrence X108 (skS.0 16 a_1))) % 5.59/5.77 (min_precedes a_2 X108 tptp0))) % 5.59/5.77 False) % 5.59/5.77 (Eq % 5.59/5.77 (Not % 5.59/5.77 (Exists fun X109 => % 5.59/5.77 And (And (occurrence_of X109 tptp1) (subactivity_occurrence X109 (skS.0 16 a_1))) % 5.59/5.77 (min_precedes a_2 X109 tptp0))) % 5.59/5.77 False)) % 5.59/5.77 Clause #374 (by clausification #[371]): ∀ (a a_1 a_2 : Iota), % 5.59/5.77 Or (Eq (leaf_occ a (skS.0 16 a_1)) False) % 5.59/5.77 (Or (Eq (occurrence_of a tptp2) True) % 5.59/5.77 (Eq % 5.59/5.77 (Not % 5.59/5.77 (Exists fun X108 => % 5.59/5.77 And (And (occurrence_of X108 tptp2) (subactivity_occurrence X108 (skS.0 16 a_1))) % 5.59/5.77 (min_precedes a_2 X108 tptp0))) % 5.59/5.77 False)) % 5.59/5.77 Clause #382 (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 % 5.59/5.77 Clause #383 (by superposition #[382, 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) % 5.59/5.77 Clause #398 (by clausification #[383]): ∀ (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 % 5.59/5.77 Clause #415 (by clausification #[374]): ∀ (a a_1 a_2 : Iota), % 5.59/5.77 Or (Eq (leaf_occ a (skS.0 16 a_1)) False) % 5.59/5.77 (Or (Eq (occurrence_of a tptp2) True) % 5.59/5.77 (Eq % 5.59/5.77 (Exists fun X108 => % 5.59/5.77 And (And (occurrence_of X108 tptp2) (subactivity_occurrence X108 (skS.0 16 a_1))) % 5.59/5.77 (min_precedes a_2 X108 tptp0)) % 5.59/5.77 True)) % 5.59/5.77 Clause #416 (by clausification #[415]): ∀ (a a_1 a_2 a_3 : Iota), % 5.59/5.77 Or (Eq (leaf_occ a (skS.0 16 a_1)) False) % 5.59/5.77 (Or (Eq (occurrence_of a tptp2) True) % 5.59/5.77 (Eq % 5.59/5.77 (And % 5.59/5.77 (And (occurrence_of (skS.0 17 a_1 a_2 a_3) tptp2) % 5.59/5.77 (subactivity_occurrence (skS.0 17 a_1 a_2 a_3) (skS.0 16 a_1))) % 5.59/5.77 (min_precedes a_2 (skS.0 17 a_1 a_2 a_3) tptp0)) % 5.59/5.77 True)) % 5.59/5.77 Clause #417 (by clausification #[416]): ∀ (a a_1 a_2 a_3 : Iota), % 5.59/5.77 Or (Eq (leaf_occ a (skS.0 16 a_1)) False) % 5.59/5.77 (Or (Eq (occurrence_of a tptp2) True) (Eq (min_precedes a_2 (skS.0 17 a_1 a_2 a_3) tptp0) True)) % 5.59/5.77 Clause #419 (by superposition #[417, 382]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 5.59/5.77 Or (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp2) True) % 5.59/5.77 (Or (Eq (min_precedes a_4 (skS.0 17 a a_4 a_5) tptp0) True) (Eq False True)) % 5.59/5.77 Clause #429 (by clausification #[419]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 5.59/5.77 Or (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp2) True) % 5.59/5.77 (Eq (min_precedes a_4 (skS.0 17 a a_4 a_5) tptp0) True) % 5.59/5.77 Clause #440 (by superposition #[429, 398]): ∀ (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) % 5.59/5.77 Clause #475 (by clausification #[440]): ∀ (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 % 5.59/5.78 Clause #479 (by superposition #[475, 134]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.59/5.78 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)) % 5.59/5.78 Clause #491 (by clausification #[479]): ∀ (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) % 5.59/5.78 Clause #580 (by clausification #[372]): ∀ (a a_1 a_2 : Iota), % 5.59/5.78 Or (Eq (leaf_occ a (skS.0 16 a_1)) False) % 5.59/5.78 (Or % 5.59/5.78 (Eq % 5.59/5.78 (Not % 5.59/5.78 (Exists fun X109 => % 5.59/5.78 And (And (occurrence_of X109 tptp1) (subactivity_occurrence X109 (skS.0 16 a_1))) % 5.59/5.78 (min_precedes a_2 X109 tptp0))) % 5.59/5.78 False) % 5.59/5.78 (Eq (occurrence_of a tptp1) True)) % 5.59/5.78 Clause #582 (by clausification #[580]): ∀ (a a_1 a_2 : Iota), % 5.59/5.78 Or (Eq (leaf_occ a (skS.0 16 a_1)) False) % 5.59/5.78 (Or (Eq (occurrence_of a tptp1) True) % 5.59/5.78 (Eq % 5.59/5.78 (Exists fun X109 => % 5.59/5.78 And (And (occurrence_of X109 tptp1) (subactivity_occurrence X109 (skS.0 16 a_1))) % 5.59/5.78 (min_precedes a_2 X109 tptp0)) % 5.59/5.78 True)) % 5.59/5.78 Clause #583 (by clausification #[582]): ∀ (a a_1 a_2 a_3 : Iota), % 5.59/5.78 Or (Eq (leaf_occ a (skS.0 16 a_1)) False) % 5.59/5.78 (Or (Eq (occurrence_of a tptp1) True) % 5.59/5.78 (Eq % 5.59/5.78 (And % 5.59/5.78 (And (occurrence_of (skS.0 18 a_1 a_2 a_3) tptp1) % 5.59/5.78 (subactivity_occurrence (skS.0 18 a_1 a_2 a_3) (skS.0 16 a_1))) % 5.59/5.78 (min_precedes a_2 (skS.0 18 a_1 a_2 a_3) tptp0)) % 5.59/5.78 True)) % 5.59/5.78 Clause #584 (by clausification #[583]): ∀ (a a_1 a_2 a_3 : Iota), % 5.59/5.78 Or (Eq (leaf_occ a (skS.0 16 a_1)) False) % 5.59/5.78 (Or (Eq (occurrence_of a tptp1) True) (Eq (min_precedes a_2 (skS.0 18 a_1 a_2 a_3) tptp0) True)) % 5.59/5.78 Clause #586 (by superposition #[584, 382]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 5.59/5.78 Or (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp1) True) % 5.59/5.78 (Or (Eq (min_precedes a_4 (skS.0 18 a a_4 a_5) tptp0) True) (Eq False True)) % 5.59/5.78 Clause #587 (by clausification #[586]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 5.59/5.78 Or (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp1) True) % 5.59/5.78 (Eq (min_precedes a_4 (skS.0 18 a a_4 a_5) tptp0) True) % 5.59/5.78 Clause #588 (by superposition #[587, 491]): ∀ (a a_1 a_2 : Iota), Or (Eq (min_precedes a (skS.0 18 a_1 a a_2) tptp0) True) (Or (Eq True False) (Eq tptp2 tptp1)) % 5.59/5.78 Clause #611 (by clausification #[588]): ∀ (a a_1 a_2 : Iota), Or (Eq (min_precedes a (skS.0 18 a_1 a a_2) tptp0) True) (Eq tptp2 tptp1) % 5.59/5.78 Clause #612 (by forward contextual literal cutting #[611, 72]): ∀ (a a_1 a_2 : Iota), Eq (min_precedes a (skS.0 18 a_1 a a_2) tptp0) True % 5.59/5.78 Clause #613 (by superposition #[612, 398]): Eq True False % 5.59/5.78 Clause #625 (by clausification #[613]): False % 5.59/5.78 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------