%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : PRO011+1 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n031.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 10.55s 10.70s % Output : Proof 10.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : PRO011+1 : TPTP v9.2.0. Released v4.0.0. % 0.07/0.14 % Command : duper %s % 0.14/0.35 % Computer : n031.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 08:40:38 EDT 2025 % 0.14/0.35 % CPUTime : % 10.55/10.70 SZS status Theorem for theBenchmark.p % 10.55/10.70 SZS output start Proof for theBenchmark.p % 10.55/10.70 Clause #2 (by assumption #[]): Eq (∀ (X4 X5 X6 : Iota), And (occurrence_of X4 X5) (occurrence_of X4 X6) → Eq X5 X6) True % 10.55/10.70 Clause #21 (by assumption #[]): Eq % 10.55/10.70 (∀ (X56 X57 : Iota), % 10.55/10.70 Iff (leaf X56 X57) % 10.55/10.70 (And (Or (root X56 X57) (Exists fun X58 => min_precedes X58 X56 X57)) % 10.55/10.70 (Not (Exists fun X59 => min_precedes X56 X59 X57)))) % 10.55/10.70 True % 10.55/10.70 Clause #34 (by assumption #[]): Eq % 10.55/10.70 (∀ (X102 X103 : Iota), % 10.55/10.70 Iff (leaf_occ X102 X103) % 10.55/10.70 (Exists fun X104 => And (And (occurrence_of X103 X104) (subactivity_occurrence X102 X103)) (leaf X102 X104))) % 10.55/10.70 True % 10.55/10.70 Clause #35 (by assumption #[]): Eq % 10.55/10.70 (∀ (X105 : Iota), % 10.55/10.70 occurrence_of X105 tptp0 → % 10.55/10.70 Exists fun X106 => % 10.55/10.70 Exists fun X107 => % 10.55/10.70 Exists fun X108 => % 10.55/10.70 And % 10.55/10.70 (And % 10.55/10.70 (And % 10.55/10.70 (And (And (And (occurrence_of X106 tptp3) (root_occ X106 X105)) (occurrence_of X107 tptp4)) % 10.55/10.70 (next_subocc X106 X107 tptp0)) % 10.55/10.70 (Or (occurrence_of X108 tptp1) (occurrence_of X108 tptp2))) % 10.55/10.70 (next_subocc X107 X108 tptp0)) % 10.55/10.70 (leaf_occ X108 X105)) % 10.55/10.70 True % 10.55/10.70 Clause #47 (by assumption #[]): Eq (Ne tptp1 tptp2) True % 10.55/10.70 Clause #48 (by assumption #[]): Eq % 10.55/10.70 (Not % 10.55/10.70 (∀ (X109 : Iota), % 10.55/10.70 occurrence_of X109 tptp0 → % 10.55/10.70 Exists fun X110 => % 10.55/10.70 Exists fun X111 => % 10.55/10.70 And % 10.55/10.70 (And (leaf_occ X111 X109) % 10.55/10.70 (occurrence_of X111 tptp1 → % 10.55/10.70 Not % 10.55/10.70 (Exists fun X112 => % 10.55/10.70 And (And (occurrence_of X112 tptp2) (subactivity_occurrence X112 X109)) % 10.55/10.70 (min_precedes X110 X112 tptp0)))) % 10.55/10.70 (occurrence_of X111 tptp2 → % 10.55/10.70 Not % 10.55/10.70 (Exists fun X113 => % 10.55/10.70 And (And (occurrence_of X113 tptp1) (subactivity_occurrence X113 X109)) % 10.55/10.70 (min_precedes X110 X113 tptp0))))) % 10.55/10.70 True % 10.55/10.70 Clause #57 (by clausification #[47]): Ne tptp1 tptp2 % 10.55/10.70 Clause #75 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (X5 X6 : Iota), And (occurrence_of a X5) (occurrence_of a X6) → Eq X5 X6) True % 10.55/10.70 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 % 10.55/10.70 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 % 10.55/10.70 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) % 10.55/10.70 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)) % 10.55/10.70 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)) % 10.55/10.70 Clause #223 (by clausification #[21]): ∀ (a : Iota), % 10.55/10.70 Eq % 10.55/10.70 (∀ (X57 : Iota), % 10.55/10.70 Iff (leaf a X57) % 10.55/10.70 (And (Or (root a X57) (Exists fun X58 => min_precedes X58 a X57)) % 10.55/10.70 (Not (Exists fun X59 => min_precedes a X59 X57)))) % 10.55/10.70 True % 10.55/10.70 Clause #224 (by clausification #[223]): ∀ (a a_1 : Iota), % 10.55/10.70 Eq % 10.55/10.70 (Iff (leaf a a_1) % 10.55/10.70 (And (Or (root a a_1) (Exists fun X58 => min_precedes X58 a a_1)) % 10.55/10.70 (Not (Exists fun X59 => min_precedes a X59 a_1)))) % 10.55/10.70 True % 10.55/10.70 Clause #226 (by clausification #[224]): ∀ (a a_1 : Iota), % 10.55/10.70 Or (Eq (leaf a a_1) False) % 10.55/10.70 (Eq % 10.55/10.70 (And (Or (root a a_1) (Exists fun X58 => min_precedes X58 a a_1)) % 10.55/10.70 (Not (Exists fun X59 => min_precedes a X59 a_1))) % 10.55/10.70 True) % 10.55/10.70 Clause #281 (by clausification #[34]): ∀ (a : Iota), % 10.55/10.70 Eq % 10.55/10.70 (∀ (X103 : Iota), % 10.55/10.70 Iff (leaf_occ a X103) % 10.55/10.70 (Exists fun X104 => And (And (occurrence_of X103 X104) (subactivity_occurrence a X103)) (leaf a X104))) % 10.55/10.70 True % 10.55/10.70 Clause #282 (by clausification #[281]): ∀ (a a_1 : Iota), % 10.55/10.70 Eq % 10.55/10.70 (Iff (leaf_occ a a_1) % 10.55/10.70 (Exists fun X104 => And (And (occurrence_of a_1 X104) (subactivity_occurrence a a_1)) (leaf a X104))) % 10.55/10.70 True % 10.55/10.70 Clause #284 (by clausification #[282]): ∀ (a a_1 : Iota), % 10.55/10.72 Or (Eq (leaf_occ a a_1) False) % 10.55/10.72 (Eq (Exists fun X104 => And (And (occurrence_of a_1 X104) (subactivity_occurrence a a_1)) (leaf a X104)) True) % 10.55/10.72 Clause #288 (by clausification #[284]): ∀ (a a_1 a_2 : Iota), % 10.55/10.72 Or (Eq (leaf_occ a a_1) False) % 10.55/10.72 (Eq % 10.55/10.72 (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))) % 10.55/10.72 True) % 10.55/10.72 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) % 10.55/10.72 Clause #290 (by clausification #[288]): ∀ (a a_1 a_2 : Iota), % 10.55/10.72 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) % 10.55/10.72 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) % 10.55/10.72 Clause #298 (by clausification #[35]): ∀ (a : Iota), % 10.55/10.72 Eq % 10.55/10.72 (occurrence_of a tptp0 → % 10.55/10.72 Exists fun X106 => % 10.55/10.72 Exists fun X107 => % 10.55/10.72 Exists fun X108 => % 10.55/10.72 And % 10.55/10.72 (And % 10.55/10.72 (And % 10.55/10.72 (And (And (And (occurrence_of X106 tptp3) (root_occ X106 a)) (occurrence_of X107 tptp4)) % 10.55/10.72 (next_subocc X106 X107 tptp0)) % 10.55/10.72 (Or (occurrence_of X108 tptp1) (occurrence_of X108 tptp2))) % 10.55/10.72 (next_subocc X107 X108 tptp0)) % 10.55/10.72 (leaf_occ X108 a)) % 10.55/10.72 True % 10.55/10.72 Clause #299 (by clausification #[298]): ∀ (a : Iota), % 10.55/10.72 Or (Eq (occurrence_of a tptp0) False) % 10.55/10.72 (Eq % 10.55/10.72 (Exists fun X106 => % 10.55/10.72 Exists fun X107 => % 10.55/10.72 Exists fun X108 => % 10.55/10.72 And % 10.55/10.72 (And % 10.55/10.72 (And % 10.55/10.72 (And (And (And (occurrence_of X106 tptp3) (root_occ X106 a)) (occurrence_of X107 tptp4)) % 10.55/10.72 (next_subocc X106 X107 tptp0)) % 10.55/10.72 (Or (occurrence_of X108 tptp1) (occurrence_of X108 tptp2))) % 10.55/10.72 (next_subocc X107 X108 tptp0)) % 10.55/10.72 (leaf_occ X108 a)) % 10.55/10.72 True) % 10.55/10.72 Clause #300 (by clausification #[299]): ∀ (a a_1 : Iota), % 10.55/10.72 Or (Eq (occurrence_of a tptp0) False) % 10.55/10.72 (Eq % 10.55/10.72 (Exists fun X107 => % 10.55/10.72 Exists fun X108 => % 10.55/10.72 And % 10.55/10.72 (And % 10.55/10.72 (And % 10.55/10.72 (And % 10.55/10.72 (And (And (occurrence_of (skS.0 15 a a_1) tptp3) (root_occ (skS.0 15 a a_1) a)) % 10.55/10.72 (occurrence_of X107 tptp4)) % 10.55/10.72 (next_subocc (skS.0 15 a a_1) X107 tptp0)) % 10.55/10.72 (Or (occurrence_of X108 tptp1) (occurrence_of X108 tptp2))) % 10.55/10.72 (next_subocc X107 X108 tptp0)) % 10.55/10.72 (leaf_occ X108 a)) % 10.55/10.72 True) % 10.55/10.72 Clause #301 (by clausification #[300]): ∀ (a a_1 a_2 : Iota), % 10.55/10.72 Or (Eq (occurrence_of a tptp0) False) % 10.55/10.72 (Eq % 10.55/10.72 (Exists fun X108 => % 10.55/10.72 And % 10.55/10.72 (And % 10.55/10.72 (And % 10.55/10.72 (And % 10.55/10.72 (And (And (occurrence_of (skS.0 15 a a_1) tptp3) (root_occ (skS.0 15 a a_1) a)) % 10.55/10.72 (occurrence_of (skS.0 16 a a_1 a_2) tptp4)) % 10.55/10.72 (next_subocc (skS.0 15 a a_1) (skS.0 16 a a_1 a_2) tptp0)) % 10.55/10.72 (Or (occurrence_of X108 tptp1) (occurrence_of X108 tptp2))) % 10.55/10.72 (next_subocc (skS.0 16 a a_1 a_2) X108 tptp0)) % 10.55/10.72 (leaf_occ X108 a)) % 10.55/10.72 True) % 10.55/10.72 Clause #302 (by clausification #[301]): ∀ (a a_1 a_2 a_3 : Iota), % 10.55/10.72 Or (Eq (occurrence_of a tptp0) False) % 10.55/10.72 (Eq % 10.55/10.72 (And % 10.55/10.72 (And % 10.55/10.72 (And % 10.55/10.72 (And % 10.55/10.72 (And (And (occurrence_of (skS.0 15 a a_1) tptp3) (root_occ (skS.0 15 a a_1) a)) % 10.55/10.72 (occurrence_of (skS.0 16 a a_1 a_2) tptp4)) % 10.55/10.72 (next_subocc (skS.0 15 a a_1) (skS.0 16 a a_1 a_2) tptp0)) % 10.55/10.72 (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))) % 10.55/10.72 (next_subocc (skS.0 16 a a_1 a_2) (skS.0 17 a a_1 a_2 a_3) tptp0)) % 10.55/10.72 (leaf_occ (skS.0 17 a a_1 a_2 a_3) a)) % 10.55/10.72 True) % 10.55/10.72 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) % 10.55/10.72 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) % 10.59/10.74 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) % 10.59/10.74 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) % 10.59/10.74 Clause #316 (by clausification #[48]): Eq % 10.59/10.74 (∀ (X109 : Iota), % 10.59/10.74 occurrence_of X109 tptp0 → % 10.59/10.74 Exists fun X110 => % 10.59/10.74 Exists fun X111 => % 10.59/10.74 And % 10.59/10.74 (And (leaf_occ X111 X109) % 10.59/10.74 (occurrence_of X111 tptp1 → % 10.59/10.74 Not % 10.59/10.74 (Exists fun X112 => % 10.59/10.74 And (And (occurrence_of X112 tptp2) (subactivity_occurrence X112 X109)) % 10.59/10.74 (min_precedes X110 X112 tptp0)))) % 10.59/10.74 (occurrence_of X111 tptp2 → % 10.59/10.74 Not % 10.59/10.74 (Exists fun X113 => % 10.59/10.74 And (And (occurrence_of X113 tptp1) (subactivity_occurrence X113 X109)) % 10.59/10.74 (min_precedes X110 X113 tptp0)))) % 10.59/10.74 False % 10.59/10.74 Clause #317 (by clausification #[316]): ∀ (a : Iota), % 10.59/10.74 Eq % 10.59/10.74 (Not % 10.59/10.74 (occurrence_of (skS.0 19 a) tptp0 → % 10.59/10.74 Exists fun X110 => % 10.59/10.74 Exists fun X111 => % 10.59/10.74 And % 10.59/10.74 (And (leaf_occ X111 (skS.0 19 a)) % 10.59/10.74 (occurrence_of X111 tptp1 → % 10.59/10.74 Not % 10.59/10.74 (Exists fun X112 => % 10.59/10.74 And (And (occurrence_of X112 tptp2) (subactivity_occurrence X112 (skS.0 19 a))) % 10.59/10.74 (min_precedes X110 X112 tptp0)))) % 10.59/10.74 (occurrence_of X111 tptp2 → % 10.59/10.74 Not % 10.59/10.74 (Exists fun X113 => % 10.59/10.74 And (And (occurrence_of X113 tptp1) (subactivity_occurrence X113 (skS.0 19 a))) % 10.59/10.74 (min_precedes X110 X113 tptp0))))) % 10.59/10.74 True % 10.59/10.74 Clause #318 (by clausification #[317]): ∀ (a : Iota), % 10.59/10.74 Eq % 10.59/10.74 (occurrence_of (skS.0 19 a) tptp0 → % 10.59/10.74 Exists fun X110 => % 10.59/10.74 Exists fun X111 => % 10.59/10.74 And % 10.59/10.74 (And (leaf_occ X111 (skS.0 19 a)) % 10.59/10.74 (occurrence_of X111 tptp1 → % 10.59/10.74 Not % 10.59/10.74 (Exists fun X112 => % 10.59/10.74 And (And (occurrence_of X112 tptp2) (subactivity_occurrence X112 (skS.0 19 a))) % 10.59/10.74 (min_precedes X110 X112 tptp0)))) % 10.59/10.74 (occurrence_of X111 tptp2 → % 10.59/10.74 Not % 10.59/10.74 (Exists fun X113 => % 10.59/10.74 And (And (occurrence_of X113 tptp1) (subactivity_occurrence X113 (skS.0 19 a))) % 10.59/10.74 (min_precedes X110 X113 tptp0)))) % 10.59/10.74 False % 10.59/10.74 Clause #319 (by clausification #[318]): ∀ (a : Iota), Eq (occurrence_of (skS.0 19 a) tptp0) True % 10.59/10.74 Clause #320 (by clausification #[318]): ∀ (a : Iota), % 10.59/10.74 Eq % 10.59/10.74 (Exists fun X110 => % 10.59/10.74 Exists fun X111 => % 10.59/10.74 And % 10.59/10.74 (And (leaf_occ X111 (skS.0 19 a)) % 10.59/10.74 (occurrence_of X111 tptp1 → % 10.59/10.74 Not % 10.59/10.74 (Exists fun X112 => % 10.59/10.74 And (And (occurrence_of X112 tptp2) (subactivity_occurrence X112 (skS.0 19 a))) % 10.59/10.74 (min_precedes X110 X112 tptp0)))) % 10.59/10.74 (occurrence_of X111 tptp2 → % 10.59/10.74 Not % 10.59/10.74 (Exists fun X113 => % 10.59/10.74 And (And (occurrence_of X113 tptp1) (subactivity_occurrence X113 (skS.0 19 a))) % 10.59/10.74 (min_precedes X110 X113 tptp0)))) % 10.59/10.74 False % 10.59/10.74 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) % 10.59/10.74 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)) % 10.59/10.74 Clause #338 (by clausification #[323]): ∀ (a a_1 : Iota), Or (Eq (occurrence_of (skS.0 19 a) a_1) False) (Eq tptp0 a_1) % 10.59/10.74 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 % 10.59/10.74 Clause #382 (by superposition #[381, 289]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 10.59/10.74 Or (Eq True False) % 10.59/10.74 (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) % 10.59/10.74 Clause #384 (by superposition #[381, 297]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 10.59/10.76 Or (Eq True False) % 10.59/10.76 (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) % 10.59/10.76 Clause #444 (by clausification #[320]): ∀ (a a_1 : Iota), % 10.59/10.76 Eq % 10.59/10.76 (Exists fun X111 => % 10.59/10.76 And % 10.59/10.76 (And (leaf_occ X111 (skS.0 19 a)) % 10.59/10.76 (occurrence_of X111 tptp1 → % 10.59/10.76 Not % 10.59/10.76 (Exists fun X112 => % 10.59/10.76 And (And (occurrence_of X112 tptp2) (subactivity_occurrence X112 (skS.0 19 a))) % 10.59/10.76 (min_precedes a_1 X112 tptp0)))) % 10.59/10.76 (occurrence_of X111 tptp2 → % 10.59/10.76 Not % 10.59/10.76 (Exists fun X113 => % 10.59/10.76 And (And (occurrence_of X113 tptp1) (subactivity_occurrence X113 (skS.0 19 a))) % 10.59/10.76 (min_precedes a_1 X113 tptp0)))) % 10.59/10.76 False % 10.59/10.76 Clause #445 (by clausification #[444]): ∀ (a a_1 a_2 : Iota), % 10.59/10.76 Eq % 10.59/10.76 (And % 10.59/10.76 (And (leaf_occ a (skS.0 19 a_1)) % 10.59/10.76 (occurrence_of a tptp1 → % 10.59/10.76 Not % 10.59/10.76 (Exists fun X112 => % 10.59/10.76 And (And (occurrence_of X112 tptp2) (subactivity_occurrence X112 (skS.0 19 a_1))) % 10.59/10.76 (min_precedes a_2 X112 tptp0)))) % 10.59/10.76 (occurrence_of a tptp2 → % 10.59/10.76 Not % 10.59/10.76 (Exists fun X113 => % 10.59/10.76 And (And (occurrence_of X113 tptp1) (subactivity_occurrence X113 (skS.0 19 a_1))) % 10.59/10.76 (min_precedes a_2 X113 tptp0)))) % 10.59/10.76 False % 10.59/10.76 Clause #446 (by clausification #[445]): ∀ (a a_1 a_2 : Iota), % 10.59/10.76 Or % 10.59/10.76 (Eq % 10.59/10.76 (And (leaf_occ a (skS.0 19 a_1)) % 10.59/10.76 (occurrence_of a tptp1 → % 10.59/10.76 Not % 10.59/10.76 (Exists fun X112 => % 10.59/10.76 And (And (occurrence_of X112 tptp2) (subactivity_occurrence X112 (skS.0 19 a_1))) % 10.59/10.76 (min_precedes a_2 X112 tptp0)))) % 10.59/10.76 False) % 10.59/10.76 (Eq % 10.59/10.76 (occurrence_of a tptp2 → % 10.59/10.76 Not % 10.59/10.76 (Exists fun X113 => % 10.59/10.76 And (And (occurrence_of X113 tptp1) (subactivity_occurrence X113 (skS.0 19 a_1))) % 10.59/10.76 (min_precedes a_2 X113 tptp0))) % 10.59/10.76 False) % 10.59/10.76 Clause #447 (by clausification #[446]): ∀ (a a_1 a_2 : Iota), % 10.59/10.76 Or % 10.59/10.76 (Eq % 10.59/10.76 (occurrence_of a tptp2 → % 10.59/10.76 Not % 10.59/10.76 (Exists fun X113 => % 10.59/10.76 And (And (occurrence_of X113 tptp1) (subactivity_occurrence X113 (skS.0 19 a_1))) % 10.59/10.76 (min_precedes a_2 X113 tptp0))) % 10.59/10.76 False) % 10.59/10.76 (Or (Eq (leaf_occ a (skS.0 19 a_1)) False) % 10.59/10.76 (Eq % 10.59/10.76 (occurrence_of a tptp1 → % 10.59/10.76 Not % 10.59/10.76 (Exists fun X112 => % 10.59/10.76 And (And (occurrence_of X112 tptp2) (subactivity_occurrence X112 (skS.0 19 a_1))) % 10.59/10.76 (min_precedes a_2 X112 tptp0))) % 10.59/10.76 False)) % 10.59/10.76 Clause #448 (by clausification #[447]): ∀ (a a_1 a_2 : Iota), % 10.59/10.76 Or (Eq (leaf_occ a (skS.0 19 a_1)) False) % 10.59/10.76 (Or % 10.59/10.76 (Eq % 10.59/10.76 (occurrence_of a tptp1 → % 10.59/10.76 Not % 10.59/10.76 (Exists fun X112 => % 10.59/10.76 And (And (occurrence_of X112 tptp2) (subactivity_occurrence X112 (skS.0 19 a_1))) % 10.59/10.76 (min_precedes a_2 X112 tptp0))) % 10.59/10.76 False) % 10.59/10.76 (Eq (occurrence_of a tptp2) True)) % 10.59/10.76 Clause #449 (by clausification #[447]): ∀ (a a_1 a_2 : Iota), % 10.59/10.76 Or (Eq (leaf_occ a (skS.0 19 a_1)) False) % 10.59/10.76 (Or % 10.59/10.76 (Eq % 10.59/10.76 (occurrence_of a tptp1 → % 10.59/10.76 Not % 10.59/10.76 (Exists fun X112 => % 10.59/10.76 And (And (occurrence_of X112 tptp2) (subactivity_occurrence X112 (skS.0 19 a_1))) % 10.59/10.76 (min_precedes a_2 X112 tptp0))) % 10.59/10.76 False) % 10.59/10.76 (Eq % 10.59/10.76 (Not % 10.59/10.76 (Exists fun X113 => % 10.59/10.76 And (And (occurrence_of X113 tptp1) (subactivity_occurrence X113 (skS.0 19 a_1))) % 10.59/10.76 (min_precedes a_2 X113 tptp0))) % 10.59/10.76 False)) % 10.59/10.76 Clause #451 (by clausification #[448]): ∀ (a a_1 a_2 : Iota), % 10.59/10.76 Or (Eq (leaf_occ a (skS.0 19 a_1)) False) % 10.59/10.76 (Or (Eq (occurrence_of a tptp2) True) % 10.59/10.76 (Eq % 10.59/10.76 (Not % 10.59/10.76 (Exists fun X112 => % 10.59/10.76 And (And (occurrence_of X112 tptp2) (subactivity_occurrence X112 (skS.0 19 a_1))) % 10.59/10.76 (min_precedes a_2 X112 tptp0))) % 10.59/10.76 False)) % 10.59/10.76 Clause #462 (by clausification #[451]): ∀ (a a_1 a_2 : Iota), % 10.59/10.76 Or (Eq (leaf_occ a (skS.0 19 a_1)) False) % 10.59/10.76 (Or (Eq (occurrence_of a tptp2) True) % 10.59/10.76 (Eq % 10.59/10.76 (Exists fun X112 => % 10.59/10.78 And (And (occurrence_of X112 tptp2) (subactivity_occurrence X112 (skS.0 19 a_1))) % 10.59/10.78 (min_precedes a_2 X112 tptp0)) % 10.59/10.78 True)) % 10.59/10.78 Clause #463 (by clausification #[462]): ∀ (a a_1 a_2 a_3 : Iota), % 10.59/10.78 Or (Eq (leaf_occ a (skS.0 19 a_1)) False) % 10.59/10.78 (Or (Eq (occurrence_of a tptp2) True) % 10.59/10.78 (Eq % 10.59/10.78 (And % 10.59/10.78 (And (occurrence_of (skS.0 20 a_1 a_2 a_3) tptp2) % 10.59/10.78 (subactivity_occurrence (skS.0 20 a_1 a_2 a_3) (skS.0 19 a_1))) % 10.59/10.78 (min_precedes a_2 (skS.0 20 a_1 a_2 a_3) tptp0)) % 10.59/10.78 True)) % 10.59/10.78 Clause #464 (by clausification #[463]): ∀ (a a_1 a_2 a_3 : Iota), % 10.59/10.78 Or (Eq (leaf_occ a (skS.0 19 a_1)) False) % 10.59/10.78 (Or (Eq (occurrence_of a tptp2) True) (Eq (min_precedes a_2 (skS.0 20 a_1 a_2 a_3) tptp0) True)) % 10.59/10.78 Clause #466 (by superposition #[464, 381]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 10.59/10.78 Or (Eq (occurrence_of (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) tptp2) True) % 10.59/10.78 (Or (Eq (min_precedes a_4 (skS.0 20 a a_4 a_5) tptp0) True) (Eq False True)) % 10.59/10.78 Clause #469 (by clausification #[466]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 10.59/10.78 Or (Eq (occurrence_of (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) tptp2) True) % 10.59/10.78 (Eq (min_precedes a_4 (skS.0 20 a a_4 a_5) tptp0) True) % 10.59/10.78 Clause #669 (by clausification #[382]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 10.59/10.78 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 % 10.59/10.78 Clause #693 (by clausification #[384]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 10.59/10.78 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 % 10.59/10.78 Clause #694 (by superposition #[693, 338]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 10.59/10.78 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)) % 10.59/10.78 Clause #702 (by clausification #[694]): ∀ (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) % 10.59/10.78 Clause #703 (by backward demodulation #[702, 669]): ∀ (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 % 10.59/10.78 Clause #705 (by superposition #[703, 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) % 10.59/10.78 Clause #707 (by clausification #[705]): ∀ (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 % 10.59/10.78 Clause #708 (by superposition #[707, 469]): ∀ (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) % 10.59/10.78 Clause #709 (by clausification #[708]): ∀ (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 % 10.59/10.78 Clause #712 (by superposition #[709, 80]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 10.59/10.78 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)) % 10.59/10.78 Clause #725 (by clausification #[712]): ∀ (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) % 10.59/10.78 Clause #1041 (by clausification #[449]): ∀ (a a_1 a_2 : Iota), % 10.59/10.78 Or (Eq (leaf_occ a (skS.0 19 a_1)) False) % 10.59/10.78 (Or % 10.59/10.78 (Eq % 10.59/10.78 (Not % 10.59/10.78 (Exists fun X113 => % 10.59/10.78 And (And (occurrence_of X113 tptp1) (subactivity_occurrence X113 (skS.0 19 a_1))) % 10.59/10.78 (min_precedes a_2 X113 tptp0))) % 10.59/10.78 False) % 10.59/10.78 (Eq (occurrence_of a tptp1) True)) % 10.59/10.78 Clause #1043 (by clausification #[1041]): ∀ (a a_1 a_2 : Iota), % 10.59/10.78 Or (Eq (leaf_occ a (skS.0 19 a_1)) False) % 10.59/10.78 (Or (Eq (occurrence_of a tptp1) True) % 10.59/10.78 (Eq % 10.59/10.78 (Exists fun X113 => % 10.59/10.78 And (And (occurrence_of X113 tptp1) (subactivity_occurrence X113 (skS.0 19 a_1))) % 10.59/10.78 (min_precedes a_2 X113 tptp0)) % 10.59/10.78 True)) % 10.59/10.78 Clause #1044 (by clausification #[1043]): ∀ (a a_1 a_2 a_3 : Iota), % 10.59/10.78 Or (Eq (leaf_occ a (skS.0 19 a_1)) False) % 10.59/10.78 (Or (Eq (occurrence_of a tptp1) True) % 10.59/10.78 (Eq % 10.59/10.78 (And % 10.59/10.78 (And (occurrence_of (skS.0 21 a_1 a_2 a_3) tptp1) % 10.59/10.78 (subactivity_occurrence (skS.0 21 a_1 a_2 a_3) (skS.0 19 a_1))) % 10.59/10.78 (min_precedes a_2 (skS.0 21 a_1 a_2 a_3) tptp0)) % 10.59/10.78 True)) % 10.59/10.78 Clause #1045 (by clausification #[1044]): ∀ (a a_1 a_2 a_3 : Iota), % 10.59/10.79 Or (Eq (leaf_occ a (skS.0 19 a_1)) False) % 10.59/10.79 (Or (Eq (occurrence_of a tptp1) True) (Eq (min_precedes a_2 (skS.0 21 a_1 a_2 a_3) tptp0) True)) % 10.59/10.79 Clause #1047 (by superposition #[1045, 381]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 10.59/10.79 Or (Eq (occurrence_of (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) tptp1) True) % 10.59/10.79 (Or (Eq (min_precedes a_4 (skS.0 21 a a_4 a_5) tptp0) True) (Eq False True)) % 10.59/10.79 Clause #1048 (by clausification #[1047]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 10.59/10.79 Or (Eq (occurrence_of (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) tptp1) True) % 10.59/10.79 (Eq (min_precedes a_4 (skS.0 21 a a_4 a_5) tptp0) True) % 10.59/10.79 Clause #1049 (by superposition #[1048, 725]): ∀ (a a_1 a_2 : Iota), Or (Eq (min_precedes a (skS.0 21 a_1 a a_2) tptp0) True) (Or (Eq True False) (Eq tptp2 tptp1)) % 10.59/10.79 Clause #1076 (by clausification #[1049]): ∀ (a a_1 a_2 : Iota), Or (Eq (min_precedes a (skS.0 21 a_1 a a_2) tptp0) True) (Eq tptp2 tptp1) % 10.59/10.79 Clause #1077 (by forward contextual literal cutting #[1076, 57]): ∀ (a a_1 a_2 : Iota), Eq (min_precedes a (skS.0 21 a_1 a a_2) tptp0) True % 10.59/10.79 Clause #1078 (by superposition #[1077, 707]): Eq True False % 10.59/10.79 Clause #1094 (by clausification #[1078]): False % 10.59/10.79 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------