%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : PRO010+1 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n026.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 07:58:07 PM UTC 2025 % Result : Theorem 8.39s 8.56s % Output : Proof 8.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : PRO010+1 : TPTP v9.2.0. Released v4.0.0. % 0.11/0.13 % Command : duper %s % 0.13/0.34 % Computer : n026.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 08:44:38 EDT 2025 % 0.13/0.34 % CPUTime : % 8.39/8.56 SZS status Theorem for theBenchmark.p % 8.39/8.56 SZS output start Proof for theBenchmark.p % 8.39/8.56 Clause #2 (by assumption #[]): Eq (∀ (X4 X5 X6 : Iota), And (occurrence_of X4 X5) (occurrence_of X4 X6) → Eq X5 X6) True % 8.39/8.56 Clause #21 (by assumption #[]): Eq % 8.39/8.56 (∀ (X56 X57 : Iota), % 8.39/8.56 Iff (leaf X56 X57) % 8.39/8.56 (And (Or (root X56 X57) (Exists fun X58 => min_precedes X58 X56 X57)) % 8.39/8.56 (Not (Exists fun X59 => min_precedes X56 X59 X57)))) % 8.39/8.56 True % 8.39/8.56 Clause #34 (by assumption #[]): Eq % 8.39/8.56 (∀ (X102 X103 : Iota), % 8.39/8.56 Iff (leaf_occ X102 X103) % 8.39/8.56 (Exists fun X104 => And (And (occurrence_of X103 X104) (subactivity_occurrence X102 X103)) (leaf X102 X104))) % 8.39/8.56 True % 8.39/8.56 Clause #35 (by assumption #[]): Eq % 8.39/8.56 (∀ (X105 : Iota), % 8.39/8.56 occurrence_of X105 tptp0 → % 8.39/8.56 Exists fun X106 => % 8.39/8.56 Exists fun X107 => % 8.39/8.56 Exists fun X108 => % 8.39/8.56 And % 8.39/8.56 (And % 8.39/8.56 (And % 8.39/8.56 (And (And (And (occurrence_of X106 tptp3) (root_occ X106 X105)) (occurrence_of X107 tptp4)) % 8.39/8.56 (next_subocc X106 X107 tptp0)) % 8.39/8.56 (Or (occurrence_of X108 tptp1) (occurrence_of X108 tptp2))) % 8.39/8.56 (next_subocc X107 X108 tptp0)) % 8.39/8.56 (leaf_occ X108 X105)) % 8.39/8.56 True % 8.39/8.56 Clause #47 (by assumption #[]): Eq (Ne tptp1 tptp2) True % 8.39/8.56 Clause #48 (by assumption #[]): Eq % 8.39/8.56 (Not % 8.39/8.56 (∀ (X109 : Iota), % 8.39/8.56 occurrence_of X109 tptp0 → % 8.39/8.56 Exists fun X110 => % 8.39/8.56 Exists fun X111 => % 8.39/8.56 And % 8.39/8.56 (And (leaf_occ X111 X109) % 8.39/8.56 (occurrence_of X111 tptp1 → % 8.39/8.56 Not (Exists fun X112 => And (occurrence_of X112 tptp2) (min_precedes X110 X112 tptp0)))) % 8.39/8.56 (occurrence_of X111 tptp2 → % 8.39/8.56 Not (Exists fun X113 => And (occurrence_of X113 tptp1) (min_precedes X110 X113 tptp0))))) % 8.39/8.56 True % 8.39/8.56 Clause #57 (by clausification #[47]): Ne tptp1 tptp2 % 8.39/8.56 Clause #75 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (X5 X6 : Iota), And (occurrence_of a X5) (occurrence_of a X6) → Eq X5 X6) True % 8.39/8.56 Clause #76 (by clausification #[75]): ∀ (a a_1 : Iota), Eq (∀ (X6 : Iota), And (occurrence_of a a_1) (occurrence_of a X6) → Eq a_1 X6) True % 8.39/8.56 Clause #77 (by clausification #[76]): ∀ (a a_1 a_2 : Iota), Eq (And (occurrence_of a a_1) (occurrence_of a a_2) → Eq a_1 a_2) True % 8.39/8.56 Clause #78 (by clausification #[77]): ∀ (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) % 8.39/8.56 Clause #79 (by clausification #[78]): ∀ (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)) % 8.39/8.56 Clause #80 (by clausification #[79]): ∀ (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)) % 8.39/8.56 Clause #223 (by clausification #[21]): ∀ (a : Iota), % 8.39/8.56 Eq % 8.39/8.56 (∀ (X57 : Iota), % 8.39/8.56 Iff (leaf a X57) % 8.39/8.56 (And (Or (root a X57) (Exists fun X58 => min_precedes X58 a X57)) % 8.39/8.56 (Not (Exists fun X59 => min_precedes a X59 X57)))) % 8.39/8.56 True % 8.39/8.56 Clause #224 (by clausification #[223]): ∀ (a a_1 : Iota), % 8.39/8.56 Eq % 8.39/8.56 (Iff (leaf a a_1) % 8.39/8.56 (And (Or (root a a_1) (Exists fun X58 => min_precedes X58 a a_1)) % 8.39/8.56 (Not (Exists fun X59 => min_precedes a X59 a_1)))) % 8.39/8.56 True % 8.39/8.56 Clause #226 (by clausification #[224]): ∀ (a a_1 : Iota), % 8.39/8.56 Or (Eq (leaf a a_1) False) % 8.39/8.56 (Eq % 8.39/8.56 (And (Or (root a a_1) (Exists fun X58 => min_precedes X58 a a_1)) % 8.39/8.56 (Not (Exists fun X59 => min_precedes a X59 a_1))) % 8.39/8.56 True) % 8.39/8.56 Clause #281 (by clausification #[34]): ∀ (a : Iota), % 8.39/8.56 Eq % 8.39/8.56 (∀ (X103 : Iota), % 8.39/8.56 Iff (leaf_occ a X103) % 8.39/8.56 (Exists fun X104 => And (And (occurrence_of X103 X104) (subactivity_occurrence a X103)) (leaf a X104))) % 8.39/8.56 True % 8.39/8.56 Clause #282 (by clausification #[281]): ∀ (a a_1 : Iota), % 8.39/8.56 Eq % 8.39/8.56 (Iff (leaf_occ a a_1) % 8.39/8.56 (Exists fun X104 => And (And (occurrence_of a_1 X104) (subactivity_occurrence a a_1)) (leaf a X104))) % 8.39/8.56 True % 8.39/8.56 Clause #284 (by clausification #[282]): ∀ (a a_1 : Iota), % 8.39/8.56 Or (Eq (leaf_occ a a_1) False) % 8.39/8.56 (Eq (Exists fun X104 => And (And (occurrence_of a_1 X104) (subactivity_occurrence a a_1)) (leaf a X104)) True) % 8.39/8.56 Clause #288 (by clausification #[284]): ∀ (a a_1 a_2 : Iota), % 8.39/8.58 Or (Eq (leaf_occ a a_1) False) % 8.39/8.58 (Eq % 8.39/8.58 (And (And (occurrence_of a_1 (skS.0 13 a_1 a a_2)) (subactivity_occurrence a a_1)) (leaf a (skS.0 13 a_1 a a_2))) % 8.39/8.58 True) % 8.39/8.58 Clause #289 (by clausification #[288]): ∀ (a a_1 a_2 : Iota), Or (Eq (leaf_occ a a_1) False) (Eq (leaf a (skS.0 13 a_1 a a_2)) True) % 8.39/8.58 Clause #290 (by clausification #[288]): ∀ (a a_1 a_2 : Iota), % 8.39/8.58 Or (Eq (leaf_occ a a_1) False) (Eq (And (occurrence_of a_1 (skS.0 13 a_1 a a_2)) (subactivity_occurrence a a_1)) True) % 8.39/8.58 Clause #297 (by clausification #[290]): ∀ (a a_1 a_2 : Iota), Or (Eq (leaf_occ a a_1) False) (Eq (occurrence_of a_1 (skS.0 13 a_1 a a_2)) True) % 8.39/8.58 Clause #298 (by clausification #[35]): ∀ (a : Iota), % 8.39/8.58 Eq % 8.39/8.58 (occurrence_of a tptp0 → % 8.39/8.58 Exists fun X106 => % 8.39/8.58 Exists fun X107 => % 8.39/8.58 Exists fun X108 => % 8.39/8.58 And % 8.39/8.58 (And % 8.39/8.58 (And % 8.39/8.58 (And (And (And (occurrence_of X106 tptp3) (root_occ X106 a)) (occurrence_of X107 tptp4)) % 8.39/8.58 (next_subocc X106 X107 tptp0)) % 8.39/8.58 (Or (occurrence_of X108 tptp1) (occurrence_of X108 tptp2))) % 8.39/8.58 (next_subocc X107 X108 tptp0)) % 8.39/8.58 (leaf_occ X108 a)) % 8.39/8.58 True % 8.39/8.58 Clause #299 (by clausification #[298]): ∀ (a : Iota), % 8.39/8.58 Or (Eq (occurrence_of a tptp0) False) % 8.39/8.58 (Eq % 8.39/8.58 (Exists fun X106 => % 8.39/8.58 Exists fun X107 => % 8.39/8.58 Exists fun X108 => % 8.39/8.58 And % 8.39/8.58 (And % 8.39/8.58 (And % 8.39/8.58 (And (And (And (occurrence_of X106 tptp3) (root_occ X106 a)) (occurrence_of X107 tptp4)) % 8.39/8.58 (next_subocc X106 X107 tptp0)) % 8.39/8.58 (Or (occurrence_of X108 tptp1) (occurrence_of X108 tptp2))) % 8.39/8.58 (next_subocc X107 X108 tptp0)) % 8.39/8.58 (leaf_occ X108 a)) % 8.39/8.58 True) % 8.39/8.58 Clause #300 (by clausification #[299]): ∀ (a a_1 : Iota), % 8.39/8.58 Or (Eq (occurrence_of a tptp0) False) % 8.39/8.58 (Eq % 8.39/8.58 (Exists fun X107 => % 8.39/8.58 Exists fun X108 => % 8.39/8.58 And % 8.39/8.58 (And % 8.39/8.58 (And % 8.39/8.58 (And % 8.39/8.58 (And (And (occurrence_of (skS.0 15 a a_1) tptp3) (root_occ (skS.0 15 a a_1) a)) % 8.39/8.58 (occurrence_of X107 tptp4)) % 8.39/8.58 (next_subocc (skS.0 15 a a_1) X107 tptp0)) % 8.39/8.58 (Or (occurrence_of X108 tptp1) (occurrence_of X108 tptp2))) % 8.39/8.58 (next_subocc X107 X108 tptp0)) % 8.39/8.58 (leaf_occ X108 a)) % 8.39/8.58 True) % 8.39/8.58 Clause #301 (by clausification #[300]): ∀ (a a_1 a_2 : Iota), % 8.39/8.58 Or (Eq (occurrence_of a tptp0) False) % 8.39/8.58 (Eq % 8.39/8.58 (Exists fun X108 => % 8.39/8.58 And % 8.39/8.58 (And % 8.39/8.58 (And % 8.39/8.58 (And % 8.39/8.58 (And (And (occurrence_of (skS.0 15 a a_1) tptp3) (root_occ (skS.0 15 a a_1) a)) % 8.39/8.58 (occurrence_of (skS.0 16 a a_1 a_2) tptp4)) % 8.39/8.58 (next_subocc (skS.0 15 a a_1) (skS.0 16 a a_1 a_2) tptp0)) % 8.39/8.58 (Or (occurrence_of X108 tptp1) (occurrence_of X108 tptp2))) % 8.39/8.58 (next_subocc (skS.0 16 a a_1 a_2) X108 tptp0)) % 8.39/8.58 (leaf_occ X108 a)) % 8.39/8.58 True) % 8.39/8.58 Clause #302 (by clausification #[301]): ∀ (a a_1 a_2 a_3 : Iota), % 8.39/8.58 Or (Eq (occurrence_of a tptp0) False) % 8.39/8.58 (Eq % 8.39/8.58 (And % 8.39/8.58 (And % 8.39/8.58 (And % 8.39/8.58 (And % 8.39/8.58 (And (And (occurrence_of (skS.0 15 a a_1) tptp3) (root_occ (skS.0 15 a a_1) a)) % 8.39/8.58 (occurrence_of (skS.0 16 a a_1 a_2) tptp4)) % 8.39/8.58 (next_subocc (skS.0 15 a a_1) (skS.0 16 a a_1 a_2) tptp0)) % 8.39/8.58 (Or (occurrence_of (skS.0 17 a a_1 a_2 a_3) tptp1) (occurrence_of (skS.0 17 a a_1 a_2 a_3) tptp2))) % 8.39/8.58 (next_subocc (skS.0 16 a a_1 a_2) (skS.0 17 a a_1 a_2 a_3) tptp0)) % 8.39/8.58 (leaf_occ (skS.0 17 a a_1 a_2 a_3) a)) % 8.39/8.58 True) % 8.39/8.58 Clause #303 (by clausification #[302]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (occurrence_of a tptp0) False) (Eq (leaf_occ (skS.0 17 a a_1 a_2 a_3) a) True) % 8.39/8.58 Clause #310 (by clausification #[226]): ∀ (a a_1 : Iota), Or (Eq (leaf a a_1) False) (Eq (Not (Exists fun X59 => min_precedes a X59 a_1)) True) % 8.39/8.58 Clause #312 (by clausification #[310]): ∀ (a a_1 : Iota), Or (Eq (leaf a a_1) False) (Eq (Exists fun X59 => min_precedes a X59 a_1) False) % 8.43/8.60 Clause #313 (by clausification #[312]): ∀ (a a_1 a_2 : Iota), Or (Eq (leaf a a_1) False) (Eq (min_precedes a a_2 a_1) False) % 8.43/8.60 Clause #316 (by clausification #[48]): Eq % 8.43/8.60 (∀ (X109 : Iota), % 8.43/8.60 occurrence_of X109 tptp0 → % 8.43/8.60 Exists fun X110 => % 8.43/8.60 Exists fun X111 => % 8.43/8.60 And % 8.43/8.60 (And (leaf_occ X111 X109) % 8.43/8.60 (occurrence_of X111 tptp1 → % 8.43/8.60 Not (Exists fun X112 => And (occurrence_of X112 tptp2) (min_precedes X110 X112 tptp0)))) % 8.43/8.60 (occurrence_of X111 tptp2 → % 8.43/8.60 Not (Exists fun X113 => And (occurrence_of X113 tptp1) (min_precedes X110 X113 tptp0)))) % 8.43/8.60 False % 8.43/8.60 Clause #317 (by clausification #[316]): ∀ (a : Iota), % 8.43/8.60 Eq % 8.43/8.60 (Not % 8.43/8.60 (occurrence_of (skS.0 19 a) tptp0 → % 8.43/8.60 Exists fun X110 => % 8.43/8.60 Exists fun X111 => % 8.43/8.60 And % 8.43/8.60 (And (leaf_occ X111 (skS.0 19 a)) % 8.43/8.60 (occurrence_of X111 tptp1 → % 8.43/8.60 Not (Exists fun X112 => And (occurrence_of X112 tptp2) (min_precedes X110 X112 tptp0)))) % 8.43/8.60 (occurrence_of X111 tptp2 → % 8.43/8.60 Not (Exists fun X113 => And (occurrence_of X113 tptp1) (min_precedes X110 X113 tptp0))))) % 8.43/8.60 True % 8.43/8.60 Clause #318 (by clausification #[317]): ∀ (a : Iota), % 8.43/8.60 Eq % 8.43/8.60 (occurrence_of (skS.0 19 a) tptp0 → % 8.43/8.60 Exists fun X110 => % 8.43/8.60 Exists fun X111 => % 8.43/8.60 And % 8.43/8.60 (And (leaf_occ X111 (skS.0 19 a)) % 8.43/8.60 (occurrence_of X111 tptp1 → % 8.43/8.60 Not (Exists fun X112 => And (occurrence_of X112 tptp2) (min_precedes X110 X112 tptp0)))) % 8.43/8.60 (occurrence_of X111 tptp2 → % 8.43/8.60 Not (Exists fun X113 => And (occurrence_of X113 tptp1) (min_precedes X110 X113 tptp0)))) % 8.43/8.60 False % 8.43/8.60 Clause #319 (by clausification #[318]): ∀ (a : Iota), Eq (occurrence_of (skS.0 19 a) tptp0) True % 8.43/8.60 Clause #320 (by clausification #[318]): ∀ (a : Iota), % 8.43/8.60 Eq % 8.43/8.60 (Exists fun X110 => % 8.43/8.60 Exists fun X111 => % 8.43/8.60 And % 8.43/8.60 (And (leaf_occ X111 (skS.0 19 a)) % 8.43/8.60 (occurrence_of X111 tptp1 → % 8.43/8.60 Not (Exists fun X112 => And (occurrence_of X112 tptp2) (min_precedes X110 X112 tptp0)))) % 8.43/8.60 (occurrence_of X111 tptp2 → % 8.43/8.60 Not (Exists fun X113 => And (occurrence_of X113 tptp1) (min_precedes X110 X113 tptp0)))) % 8.43/8.60 False % 8.43/8.60 Clause #321 (by superposition #[319, 303]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (leaf_occ (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) (skS.0 19 a)) True) % 8.43/8.60 Clause #323 (by superposition #[319, 80]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (occurrence_of (skS.0 19 a) a_1) False) (Eq tptp0 a_1)) % 8.43/8.60 Clause #338 (by clausification #[323]): ∀ (a a_1 : Iota), Or (Eq (occurrence_of (skS.0 19 a) a_1) False) (Eq tptp0 a_1) % 8.43/8.60 Clause #381 (by clausification #[321]): ∀ (a a_1 a_2 a_3 : Iota), Eq (leaf_occ (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) (skS.0 19 a)) True % 8.43/8.60 Clause #382 (by superposition #[381, 289]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 8.43/8.60 Or (Eq True False) % 8.43/8.60 (Eq (leaf (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) (skS.0 13 (skS.0 19 a) (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) a_4)) True) % 8.43/8.60 Clause #384 (by superposition #[381, 297]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 8.43/8.60 Or (Eq True False) % 8.43/8.60 (Eq (occurrence_of (skS.0 19 a) (skS.0 13 (skS.0 19 a) (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) a_4)) True) % 8.43/8.60 Clause #444 (by clausification #[320]): ∀ (a a_1 : Iota), % 8.43/8.60 Eq % 8.43/8.60 (Exists fun X111 => % 8.43/8.60 And % 8.43/8.60 (And (leaf_occ X111 (skS.0 19 a)) % 8.43/8.60 (occurrence_of X111 tptp1 → % 8.43/8.60 Not (Exists fun X112 => And (occurrence_of X112 tptp2) (min_precedes a_1 X112 tptp0)))) % 8.43/8.60 (occurrence_of X111 tptp2 → % 8.43/8.60 Not (Exists fun X113 => And (occurrence_of X113 tptp1) (min_precedes a_1 X113 tptp0)))) % 8.43/8.60 False % 8.43/8.60 Clause #445 (by clausification #[444]): ∀ (a a_1 a_2 : Iota), % 8.43/8.60 Eq % 8.43/8.60 (And % 8.43/8.60 (And (leaf_occ a (skS.0 19 a_1)) % 8.43/8.60 (occurrence_of a tptp1 → Not (Exists fun X112 => And (occurrence_of X112 tptp2) (min_precedes a_2 X112 tptp0)))) % 8.43/8.60 (occurrence_of a tptp2 → Not (Exists fun X113 => And (occurrence_of X113 tptp1) (min_precedes a_2 X113 tptp0)))) % 8.43/8.60 False % 8.43/8.60 Clause #446 (by clausification #[445]): ∀ (a a_1 a_2 : Iota), % 8.43/8.63 Or % 8.43/8.63 (Eq % 8.43/8.63 (And (leaf_occ a (skS.0 19 a_1)) % 8.43/8.63 (occurrence_of a tptp1 → Not (Exists fun X112 => And (occurrence_of X112 tptp2) (min_precedes a_2 X112 tptp0)))) % 8.43/8.63 False) % 8.43/8.63 (Eq (occurrence_of a tptp2 → Not (Exists fun X113 => And (occurrence_of X113 tptp1) (min_precedes a_2 X113 tptp0))) % 8.43/8.63 False) % 8.43/8.63 Clause #447 (by clausification #[446]): ∀ (a a_1 a_2 : Iota), % 8.43/8.63 Or % 8.43/8.63 (Eq (occurrence_of a tptp2 → Not (Exists fun X113 => And (occurrence_of X113 tptp1) (min_precedes a_1 X113 tptp0))) % 8.43/8.63 False) % 8.43/8.63 (Or (Eq (leaf_occ a (skS.0 19 a_2)) False) % 8.43/8.63 (Eq % 8.43/8.63 (occurrence_of a tptp1 → Not (Exists fun X112 => And (occurrence_of X112 tptp2) (min_precedes a_1 X112 tptp0))) % 8.43/8.63 False)) % 8.43/8.63 Clause #448 (by clausification #[447]): ∀ (a a_1 a_2 : Iota), % 8.43/8.63 Or (Eq (leaf_occ a (skS.0 19 a_1)) False) % 8.43/8.63 (Or % 8.43/8.63 (Eq % 8.43/8.63 (occurrence_of a tptp1 → Not (Exists fun X112 => And (occurrence_of X112 tptp2) (min_precedes a_2 X112 tptp0))) % 8.43/8.63 False) % 8.43/8.63 (Eq (occurrence_of a tptp2) True)) % 8.43/8.63 Clause #449 (by clausification #[447]): ∀ (a a_1 a_2 : Iota), % 8.43/8.63 Or (Eq (leaf_occ a (skS.0 19 a_1)) False) % 8.43/8.63 (Or % 8.43/8.63 (Eq % 8.43/8.63 (occurrence_of a tptp1 → Not (Exists fun X112 => And (occurrence_of X112 tptp2) (min_precedes a_2 X112 tptp0))) % 8.43/8.63 False) % 8.43/8.63 (Eq (Not (Exists fun X113 => And (occurrence_of X113 tptp1) (min_precedes a_2 X113 tptp0))) False)) % 8.43/8.63 Clause #451 (by clausification #[448]): ∀ (a a_1 a_2 : Iota), % 8.43/8.63 Or (Eq (leaf_occ a (skS.0 19 a_1)) False) % 8.43/8.63 (Or (Eq (occurrence_of a tptp2) True) % 8.43/8.63 (Eq (Not (Exists fun X112 => And (occurrence_of X112 tptp2) (min_precedes a_2 X112 tptp0))) False)) % 8.43/8.63 Clause #453 (by clausification #[451]): ∀ (a a_1 a_2 : Iota), % 8.43/8.63 Or (Eq (leaf_occ a (skS.0 19 a_1)) False) % 8.43/8.63 (Or (Eq (occurrence_of a tptp2) True) % 8.43/8.63 (Eq (Exists fun X112 => And (occurrence_of X112 tptp2) (min_precedes a_2 X112 tptp0)) True)) % 8.43/8.63 Clause #454 (by clausification #[453]): ∀ (a a_1 a_2 a_3 : Iota), % 8.43/8.63 Or (Eq (leaf_occ a (skS.0 19 a_1)) False) % 8.43/8.63 (Or (Eq (occurrence_of a tptp2) True) % 8.43/8.63 (Eq (And (occurrence_of (skS.0 20 a_2 a_3) tptp2) (min_precedes a_2 (skS.0 20 a_2 a_3) tptp0)) True)) % 8.43/8.63 Clause #455 (by clausification #[454]): ∀ (a a_1 a_2 a_3 : Iota), % 8.43/8.63 Or (Eq (leaf_occ a (skS.0 19 a_1)) False) % 8.43/8.63 (Or (Eq (occurrence_of a tptp2) True) (Eq (min_precedes a_2 (skS.0 20 a_2 a_3) tptp0) True)) % 8.43/8.63 Clause #457 (by superposition #[455, 381]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 8.43/8.63 Or (Eq (occurrence_of (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) tptp2) True) % 8.43/8.63 (Or (Eq (min_precedes a_4 (skS.0 20 a_4 a_5) tptp0) True) (Eq False True)) % 8.43/8.63 Clause #549 (by clausification #[457]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 8.43/8.63 Or (Eq (occurrence_of (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) tptp2) True) % 8.43/8.63 (Eq (min_precedes a_4 (skS.0 20 a_4 a_5) tptp0) True) % 8.43/8.63 Clause #703 (by clausification #[382]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 8.43/8.63 Eq (leaf (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) (skS.0 13 (skS.0 19 a) (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) a_4)) True % 8.43/8.63 Clause #720 (by clausification #[384]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 8.43/8.63 Eq (occurrence_of (skS.0 19 a) (skS.0 13 (skS.0 19 a) (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) a_4)) True % 8.43/8.63 Clause #721 (by superposition #[720, 338]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 8.43/8.63 Or (Eq True False) (Eq tptp0 (skS.0 13 (skS.0 19 a) (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) a_4)) % 8.43/8.63 Clause #737 (by clausification #[721]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq tptp0 (skS.0 13 (skS.0 19 a) (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) a_4) % 8.43/8.63 Clause #738 (by backward demodulation #[737, 703]): ∀ (a a_1 a_2 a_3 : Iota), Eq (leaf (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) tptp0) True % 8.43/8.63 Clause #740 (by superposition #[738, 313]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq True False) (Eq (min_precedes (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) a_4 tptp0) False) % 8.43/8.63 Clause #742 (by clausification #[740]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (min_precedes (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) a_4 tptp0) False % 8.43/8.63 Clause #743 (by superposition #[742, 549]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (occurrence_of (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) tptp2) True) (Eq False True) % 8.48/8.64 Clause #752 (by clausification #[743]): ∀ (a a_1 a_2 a_3 : Iota), Eq (occurrence_of (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) tptp2) True % 8.48/8.64 Clause #756 (by superposition #[752, 80]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 8.48/8.64 Or (Eq True False) (Or (Eq (occurrence_of (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) a_4) False) (Eq tptp2 a_4)) % 8.48/8.64 Clause #765 (by clausification #[756]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (occurrence_of (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) a_4) False) (Eq tptp2 a_4) % 8.48/8.64 Clause #870 (by clausification #[449]): ∀ (a a_1 a_2 : Iota), % 8.48/8.64 Or (Eq (leaf_occ a (skS.0 19 a_1)) False) % 8.48/8.64 (Or (Eq (Not (Exists fun X113 => And (occurrence_of X113 tptp1) (min_precedes a_2 X113 tptp0))) False) % 8.48/8.64 (Eq (occurrence_of a tptp1) True)) % 8.48/8.64 Clause #872 (by clausification #[870]): ∀ (a a_1 a_2 : Iota), % 8.48/8.64 Or (Eq (leaf_occ a (skS.0 19 a_1)) False) % 8.48/8.64 (Or (Eq (occurrence_of a tptp1) True) % 8.48/8.64 (Eq (Exists fun X113 => And (occurrence_of X113 tptp1) (min_precedes a_2 X113 tptp0)) True)) % 8.48/8.64 Clause #873 (by clausification #[872]): ∀ (a a_1 a_2 a_3 : Iota), % 8.48/8.64 Or (Eq (leaf_occ a (skS.0 19 a_1)) False) % 8.48/8.64 (Or (Eq (occurrence_of a tptp1) True) % 8.48/8.64 (Eq (And (occurrence_of (skS.0 21 a_2 a_3) tptp1) (min_precedes a_2 (skS.0 21 a_2 a_3) tptp0)) True)) % 8.48/8.64 Clause #874 (by clausification #[873]): ∀ (a a_1 a_2 a_3 : Iota), % 8.48/8.64 Or (Eq (leaf_occ a (skS.0 19 a_1)) False) % 8.48/8.64 (Or (Eq (occurrence_of a tptp1) True) (Eq (min_precedes a_2 (skS.0 21 a_2 a_3) tptp0) True)) % 8.48/8.64 Clause #876 (by superposition #[874, 381]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 8.48/8.64 Or (Eq (occurrence_of (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) tptp1) True) % 8.48/8.64 (Or (Eq (min_precedes a_4 (skS.0 21 a_4 a_5) tptp0) True) (Eq False True)) % 8.48/8.64 Clause #1008 (by clausification #[876]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 8.48/8.64 Or (Eq (occurrence_of (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) tptp1) True) % 8.48/8.64 (Eq (min_precedes a_4 (skS.0 21 a_4 a_5) tptp0) True) % 8.48/8.64 Clause #1012 (by superposition #[1008, 765]): ∀ (a a_1 : Iota), Or (Eq (min_precedes a (skS.0 21 a a_1) tptp0) True) (Or (Eq True False) (Eq tptp2 tptp1)) % 8.48/8.64 Clause #1037 (by clausification #[1012]): ∀ (a a_1 : Iota), Or (Eq (min_precedes a (skS.0 21 a a_1) tptp0) True) (Eq tptp2 tptp1) % 8.48/8.64 Clause #1038 (by forward contextual literal cutting #[1037, 57]): ∀ (a a_1 : Iota), Eq (min_precedes a (skS.0 21 a a_1) tptp0) True % 8.48/8.64 Clause #1039 (by superposition #[1038, 742]): Eq True False % 8.48/8.64 Clause #1055 (by clausification #[1039]): False % 8.48/8.64 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------