TSTP Solution File: PRO011+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : PRO011+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n011.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 : Thu Aug 31 13:06:50 EDT 2023
% Result : Theorem 10.49s 10.76s
% Output : Proof 10.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : PRO011+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n011.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 : Mon Aug 28 19:11:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 10.49/10.76 SZS status Theorem for theBenchmark.p
% 10.49/10.76 SZS output start Proof for theBenchmark.p
% 10.49/10.76 Clause #2 (by assumption #[]): Eq (∀ (X4 X5 X6 : Iota), And (occurrence_of X4 X5) (occurrence_of X4 X6) → Eq X5 X6) True
% 10.49/10.76 Clause #21 (by assumption #[]): Eq
% 10.49/10.76 (∀ (X56 X57 : Iota),
% 10.49/10.76 Iff (leaf X56 X57)
% 10.49/10.76 (And (Or (root X56 X57) (Exists fun X58 => min_precedes X58 X56 X57))
% 10.49/10.76 (Not (Exists fun X59 => min_precedes X56 X59 X57))))
% 10.49/10.76 True
% 10.49/10.76 Clause #34 (by assumption #[]): Eq
% 10.49/10.76 (∀ (X102 X103 : Iota),
% 10.49/10.76 Iff (leaf_occ X102 X103)
% 10.49/10.76 (Exists fun X104 => And (And (occurrence_of X103 X104) (subactivity_occurrence X102 X103)) (leaf X102 X104)))
% 10.49/10.76 True
% 10.49/10.76 Clause #35 (by assumption #[]): Eq
% 10.49/10.76 (∀ (X105 : Iota),
% 10.49/10.76 occurrence_of X105 tptp0 →
% 10.49/10.76 Exists fun X106 =>
% 10.49/10.76 Exists fun X107 =>
% 10.49/10.76 Exists fun X108 =>
% 10.49/10.76 And
% 10.49/10.76 (And
% 10.49/10.76 (And
% 10.49/10.76 (And (And (And (occurrence_of X106 tptp3) (root_occ X106 X105)) (occurrence_of X107 tptp4))
% 10.49/10.76 (next_subocc X106 X107 tptp0))
% 10.49/10.76 (Or (occurrence_of X108 tptp1) (occurrence_of X108 tptp2)))
% 10.49/10.76 (next_subocc X107 X108 tptp0))
% 10.49/10.76 (leaf_occ X108 X105))
% 10.49/10.76 True
% 10.49/10.76 Clause #47 (by assumption #[]): Eq (Ne tptp1 tptp2) True
% 10.49/10.76 Clause #48 (by assumption #[]): Eq
% 10.49/10.76 (Not
% 10.49/10.76 (∀ (X109 : Iota),
% 10.49/10.76 occurrence_of X109 tptp0 →
% 10.49/10.76 Exists fun X110 =>
% 10.49/10.76 Exists fun X111 =>
% 10.49/10.76 And
% 10.49/10.76 (And (leaf_occ X111 X109)
% 10.49/10.76 (occurrence_of X111 tptp1 →
% 10.49/10.76 Not
% 10.49/10.76 (Exists fun X112 =>
% 10.49/10.76 And (And (occurrence_of X112 tptp2) (subactivity_occurrence X112 X109))
% 10.49/10.76 (min_precedes X110 X112 tptp0))))
% 10.49/10.76 (occurrence_of X111 tptp2 →
% 10.49/10.76 Not
% 10.49/10.76 (Exists fun X113 =>
% 10.49/10.76 And (And (occurrence_of X113 tptp1) (subactivity_occurrence X113 X109))
% 10.49/10.76 (min_precedes X110 X113 tptp0)))))
% 10.49/10.76 True
% 10.49/10.76 Clause #57 (by clausification #[47]): Ne tptp1 tptp2
% 10.49/10.76 Clause #75 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (X5 X6 : Iota), And (occurrence_of a X5) (occurrence_of a X6) → Eq X5 X6) True
% 10.49/10.76 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
% 10.49/10.76 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
% 10.49/10.76 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)
% 10.49/10.76 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))
% 10.49/10.76 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))
% 10.49/10.76 Clause #223 (by clausification #[21]): ∀ (a : Iota),
% 10.49/10.76 Eq
% 10.49/10.76 (∀ (X57 : Iota),
% 10.49/10.76 Iff (leaf a X57)
% 10.49/10.76 (And (Or (root a X57) (Exists fun X58 => min_precedes X58 a X57))
% 10.49/10.76 (Not (Exists fun X59 => min_precedes a X59 X57))))
% 10.49/10.76 True
% 10.49/10.76 Clause #224 (by clausification #[223]): ∀ (a a_1 : Iota),
% 10.49/10.76 Eq
% 10.49/10.76 (Iff (leaf a a_1)
% 10.49/10.76 (And (Or (root a a_1) (Exists fun X58 => min_precedes X58 a a_1))
% 10.49/10.76 (Not (Exists fun X59 => min_precedes a X59 a_1))))
% 10.49/10.76 True
% 10.49/10.76 Clause #226 (by clausification #[224]): ∀ (a a_1 : Iota),
% 10.49/10.76 Or (Eq (leaf a a_1) False)
% 10.49/10.76 (Eq
% 10.49/10.76 (And (Or (root a a_1) (Exists fun X58 => min_precedes X58 a a_1))
% 10.49/10.76 (Not (Exists fun X59 => min_precedes a X59 a_1)))
% 10.49/10.76 True)
% 10.49/10.76 Clause #281 (by clausification #[34]): ∀ (a : Iota),
% 10.49/10.76 Eq
% 10.49/10.76 (∀ (X103 : Iota),
% 10.49/10.76 Iff (leaf_occ a X103)
% 10.49/10.76 (Exists fun X104 => And (And (occurrence_of X103 X104) (subactivity_occurrence a X103)) (leaf a X104)))
% 10.49/10.76 True
% 10.49/10.76 Clause #282 (by clausification #[281]): ∀ (a a_1 : Iota),
% 10.49/10.76 Eq
% 10.49/10.76 (Iff (leaf_occ a a_1)
% 10.49/10.76 (Exists fun X104 => And (And (occurrence_of a_1 X104) (subactivity_occurrence a a_1)) (leaf a X104)))
% 10.49/10.76 True
% 10.49/10.76 Clause #284 (by clausification #[282]): ∀ (a a_1 : Iota),
% 10.49/10.78 Or (Eq (leaf_occ a a_1) False)
% 10.49/10.78 (Eq (Exists fun X104 => And (And (occurrence_of a_1 X104) (subactivity_occurrence a a_1)) (leaf a X104)) True)
% 10.49/10.78 Clause #288 (by clausification #[284]): ∀ (a a_1 a_2 : Iota),
% 10.49/10.78 Or (Eq (leaf_occ a a_1) False)
% 10.49/10.78 (Eq
% 10.49/10.78 (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)))
% 10.49/10.78 True)
% 10.49/10.78 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)
% 10.49/10.78 Clause #290 (by clausification #[288]): ∀ (a a_1 a_2 : Iota),
% 10.49/10.78 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)
% 10.49/10.78 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)
% 10.49/10.78 Clause #298 (by clausification #[35]): ∀ (a : Iota),
% 10.49/10.78 Eq
% 10.49/10.78 (occurrence_of a tptp0 →
% 10.49/10.78 Exists fun X106 =>
% 10.49/10.78 Exists fun X107 =>
% 10.49/10.78 Exists fun X108 =>
% 10.49/10.78 And
% 10.49/10.78 (And
% 10.49/10.78 (And
% 10.49/10.78 (And (And (And (occurrence_of X106 tptp3) (root_occ X106 a)) (occurrence_of X107 tptp4))
% 10.49/10.78 (next_subocc X106 X107 tptp0))
% 10.49/10.78 (Or (occurrence_of X108 tptp1) (occurrence_of X108 tptp2)))
% 10.49/10.78 (next_subocc X107 X108 tptp0))
% 10.49/10.78 (leaf_occ X108 a))
% 10.49/10.78 True
% 10.49/10.78 Clause #299 (by clausification #[298]): ∀ (a : Iota),
% 10.49/10.78 Or (Eq (occurrence_of a tptp0) False)
% 10.49/10.78 (Eq
% 10.49/10.78 (Exists fun X106 =>
% 10.49/10.78 Exists fun X107 =>
% 10.49/10.78 Exists fun X108 =>
% 10.49/10.78 And
% 10.49/10.78 (And
% 10.49/10.78 (And
% 10.49/10.78 (And (And (And (occurrence_of X106 tptp3) (root_occ X106 a)) (occurrence_of X107 tptp4))
% 10.49/10.78 (next_subocc X106 X107 tptp0))
% 10.49/10.78 (Or (occurrence_of X108 tptp1) (occurrence_of X108 tptp2)))
% 10.49/10.78 (next_subocc X107 X108 tptp0))
% 10.49/10.78 (leaf_occ X108 a))
% 10.49/10.78 True)
% 10.49/10.78 Clause #300 (by clausification #[299]): ∀ (a a_1 : Iota),
% 10.49/10.78 Or (Eq (occurrence_of a tptp0) False)
% 10.49/10.78 (Eq
% 10.49/10.78 (Exists fun X107 =>
% 10.49/10.78 Exists fun X108 =>
% 10.49/10.78 And
% 10.49/10.78 (And
% 10.49/10.78 (And
% 10.49/10.78 (And
% 10.49/10.78 (And (And (occurrence_of (skS.0 15 a a_1) tptp3) (root_occ (skS.0 15 a a_1) a))
% 10.49/10.78 (occurrence_of X107 tptp4))
% 10.49/10.78 (next_subocc (skS.0 15 a a_1) X107 tptp0))
% 10.49/10.78 (Or (occurrence_of X108 tptp1) (occurrence_of X108 tptp2)))
% 10.49/10.78 (next_subocc X107 X108 tptp0))
% 10.49/10.78 (leaf_occ X108 a))
% 10.49/10.78 True)
% 10.49/10.78 Clause #301 (by clausification #[300]): ∀ (a a_1 a_2 : Iota),
% 10.49/10.78 Or (Eq (occurrence_of a tptp0) False)
% 10.49/10.78 (Eq
% 10.49/10.78 (Exists fun X108 =>
% 10.49/10.78 And
% 10.49/10.78 (And
% 10.49/10.78 (And
% 10.49/10.78 (And
% 10.49/10.78 (And (And (occurrence_of (skS.0 15 a a_1) tptp3) (root_occ (skS.0 15 a a_1) a))
% 10.49/10.78 (occurrence_of (skS.0 16 a a_1 a_2) tptp4))
% 10.49/10.78 (next_subocc (skS.0 15 a a_1) (skS.0 16 a a_1 a_2) tptp0))
% 10.49/10.78 (Or (occurrence_of X108 tptp1) (occurrence_of X108 tptp2)))
% 10.49/10.78 (next_subocc (skS.0 16 a a_1 a_2) X108 tptp0))
% 10.49/10.78 (leaf_occ X108 a))
% 10.49/10.78 True)
% 10.49/10.78 Clause #302 (by clausification #[301]): ∀ (a a_1 a_2 a_3 : Iota),
% 10.49/10.78 Or (Eq (occurrence_of a tptp0) False)
% 10.49/10.78 (Eq
% 10.49/10.78 (And
% 10.49/10.78 (And
% 10.49/10.78 (And
% 10.49/10.78 (And
% 10.49/10.78 (And (And (occurrence_of (skS.0 15 a a_1) tptp3) (root_occ (skS.0 15 a a_1) a))
% 10.49/10.78 (occurrence_of (skS.0 16 a a_1 a_2) tptp4))
% 10.49/10.78 (next_subocc (skS.0 15 a a_1) (skS.0 16 a a_1 a_2) tptp0))
% 10.49/10.78 (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)))
% 10.49/10.78 (next_subocc (skS.0 16 a a_1 a_2) (skS.0 17 a a_1 a_2 a_3) tptp0))
% 10.49/10.78 (leaf_occ (skS.0 17 a a_1 a_2 a_3) a))
% 10.49/10.78 True)
% 10.49/10.78 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)
% 10.49/10.78 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)
% 10.55/10.80 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)
% 10.55/10.80 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)
% 10.55/10.80 Clause #316 (by clausification #[48]): Eq
% 10.55/10.80 (∀ (X109 : Iota),
% 10.55/10.80 occurrence_of X109 tptp0 →
% 10.55/10.80 Exists fun X110 =>
% 10.55/10.80 Exists fun X111 =>
% 10.55/10.80 And
% 10.55/10.80 (And (leaf_occ X111 X109)
% 10.55/10.80 (occurrence_of X111 tptp1 →
% 10.55/10.80 Not
% 10.55/10.80 (Exists fun X112 =>
% 10.55/10.80 And (And (occurrence_of X112 tptp2) (subactivity_occurrence X112 X109))
% 10.55/10.80 (min_precedes X110 X112 tptp0))))
% 10.55/10.80 (occurrence_of X111 tptp2 →
% 10.55/10.80 Not
% 10.55/10.80 (Exists fun X113 =>
% 10.55/10.80 And (And (occurrence_of X113 tptp1) (subactivity_occurrence X113 X109))
% 10.55/10.80 (min_precedes X110 X113 tptp0))))
% 10.55/10.80 False
% 10.55/10.80 Clause #317 (by clausification #[316]): ∀ (a : Iota),
% 10.55/10.80 Eq
% 10.55/10.80 (Not
% 10.55/10.80 (occurrence_of (skS.0 19 a) tptp0 →
% 10.55/10.80 Exists fun X110 =>
% 10.55/10.80 Exists fun X111 =>
% 10.55/10.80 And
% 10.55/10.80 (And (leaf_occ X111 (skS.0 19 a))
% 10.55/10.80 (occurrence_of X111 tptp1 →
% 10.55/10.80 Not
% 10.55/10.80 (Exists fun X112 =>
% 10.55/10.80 And (And (occurrence_of X112 tptp2) (subactivity_occurrence X112 (skS.0 19 a)))
% 10.55/10.80 (min_precedes X110 X112 tptp0))))
% 10.55/10.80 (occurrence_of X111 tptp2 →
% 10.55/10.80 Not
% 10.55/10.80 (Exists fun X113 =>
% 10.55/10.80 And (And (occurrence_of X113 tptp1) (subactivity_occurrence X113 (skS.0 19 a)))
% 10.55/10.80 (min_precedes X110 X113 tptp0)))))
% 10.55/10.80 True
% 10.55/10.80 Clause #318 (by clausification #[317]): ∀ (a : Iota),
% 10.55/10.80 Eq
% 10.55/10.80 (occurrence_of (skS.0 19 a) tptp0 →
% 10.55/10.80 Exists fun X110 =>
% 10.55/10.80 Exists fun X111 =>
% 10.55/10.80 And
% 10.55/10.80 (And (leaf_occ X111 (skS.0 19 a))
% 10.55/10.80 (occurrence_of X111 tptp1 →
% 10.55/10.80 Not
% 10.55/10.80 (Exists fun X112 =>
% 10.55/10.80 And (And (occurrence_of X112 tptp2) (subactivity_occurrence X112 (skS.0 19 a)))
% 10.55/10.80 (min_precedes X110 X112 tptp0))))
% 10.55/10.80 (occurrence_of X111 tptp2 →
% 10.55/10.80 Not
% 10.55/10.80 (Exists fun X113 =>
% 10.55/10.80 And (And (occurrence_of X113 tptp1) (subactivity_occurrence X113 (skS.0 19 a)))
% 10.55/10.80 (min_precedes X110 X113 tptp0))))
% 10.55/10.80 False
% 10.55/10.80 Clause #319 (by clausification #[318]): ∀ (a : Iota), Eq (occurrence_of (skS.0 19 a) tptp0) True
% 10.55/10.80 Clause #320 (by clausification #[318]): ∀ (a : Iota),
% 10.55/10.80 Eq
% 10.55/10.80 (Exists fun X110 =>
% 10.55/10.80 Exists fun X111 =>
% 10.55/10.80 And
% 10.55/10.80 (And (leaf_occ X111 (skS.0 19 a))
% 10.55/10.80 (occurrence_of X111 tptp1 →
% 10.55/10.80 Not
% 10.55/10.80 (Exists fun X112 =>
% 10.55/10.80 And (And (occurrence_of X112 tptp2) (subactivity_occurrence X112 (skS.0 19 a)))
% 10.55/10.80 (min_precedes X110 X112 tptp0))))
% 10.55/10.80 (occurrence_of X111 tptp2 →
% 10.55/10.80 Not
% 10.55/10.80 (Exists fun X113 =>
% 10.55/10.80 And (And (occurrence_of X113 tptp1) (subactivity_occurrence X113 (skS.0 19 a)))
% 10.55/10.80 (min_precedes X110 X113 tptp0))))
% 10.55/10.80 False
% 10.55/10.80 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)
% 10.55/10.80 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))
% 10.55/10.80 Clause #338 (by clausification #[323]): ∀ (a a_1 : Iota), Or (Eq (occurrence_of (skS.0 19 a) a_1) False) (Eq tptp0 a_1)
% 10.55/10.80 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
% 10.55/10.80 Clause #382 (by superposition #[381, 289]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 10.55/10.80 Or (Eq True False)
% 10.55/10.80 (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)
% 10.55/10.80 Clause #384 (by superposition #[381, 297]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 10.55/10.82 Or (Eq True False)
% 10.55/10.82 (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)
% 10.55/10.82 Clause #444 (by clausification #[320]): ∀ (a a_1 : Iota),
% 10.55/10.82 Eq
% 10.55/10.82 (Exists fun X111 =>
% 10.55/10.82 And
% 10.55/10.82 (And (leaf_occ X111 (skS.0 19 a))
% 10.55/10.82 (occurrence_of X111 tptp1 →
% 10.55/10.82 Not
% 10.55/10.82 (Exists fun X112 =>
% 10.55/10.82 And (And (occurrence_of X112 tptp2) (subactivity_occurrence X112 (skS.0 19 a)))
% 10.55/10.82 (min_precedes a_1 X112 tptp0))))
% 10.55/10.82 (occurrence_of X111 tptp2 →
% 10.55/10.82 Not
% 10.55/10.82 (Exists fun X113 =>
% 10.55/10.82 And (And (occurrence_of X113 tptp1) (subactivity_occurrence X113 (skS.0 19 a)))
% 10.55/10.82 (min_precedes a_1 X113 tptp0))))
% 10.55/10.82 False
% 10.55/10.82 Clause #445 (by clausification #[444]): ∀ (a a_1 a_2 : Iota),
% 10.55/10.82 Eq
% 10.55/10.82 (And
% 10.55/10.82 (And (leaf_occ a (skS.0 19 a_1))
% 10.55/10.82 (occurrence_of a tptp1 →
% 10.55/10.82 Not
% 10.55/10.82 (Exists fun X112 =>
% 10.55/10.82 And (And (occurrence_of X112 tptp2) (subactivity_occurrence X112 (skS.0 19 a_1)))
% 10.55/10.82 (min_precedes a_2 X112 tptp0))))
% 10.55/10.82 (occurrence_of a tptp2 →
% 10.55/10.82 Not
% 10.55/10.82 (Exists fun X113 =>
% 10.55/10.82 And (And (occurrence_of X113 tptp1) (subactivity_occurrence X113 (skS.0 19 a_1)))
% 10.55/10.82 (min_precedes a_2 X113 tptp0))))
% 10.55/10.82 False
% 10.55/10.82 Clause #446 (by clausification #[445]): ∀ (a a_1 a_2 : Iota),
% 10.55/10.82 Or
% 10.55/10.82 (Eq
% 10.55/10.82 (And (leaf_occ a (skS.0 19 a_1))
% 10.55/10.82 (occurrence_of a tptp1 →
% 10.55/10.82 Not
% 10.55/10.82 (Exists fun X112 =>
% 10.55/10.82 And (And (occurrence_of X112 tptp2) (subactivity_occurrence X112 (skS.0 19 a_1)))
% 10.55/10.82 (min_precedes a_2 X112 tptp0))))
% 10.55/10.82 False)
% 10.55/10.82 (Eq
% 10.55/10.82 (occurrence_of a tptp2 →
% 10.55/10.82 Not
% 10.55/10.82 (Exists fun X113 =>
% 10.55/10.82 And (And (occurrence_of X113 tptp1) (subactivity_occurrence X113 (skS.0 19 a_1)))
% 10.55/10.82 (min_precedes a_2 X113 tptp0)))
% 10.55/10.82 False)
% 10.55/10.82 Clause #447 (by clausification #[446]): ∀ (a a_1 a_2 : Iota),
% 10.55/10.82 Or
% 10.55/10.82 (Eq
% 10.55/10.82 (occurrence_of a tptp2 →
% 10.55/10.82 Not
% 10.55/10.82 (Exists fun X113 =>
% 10.55/10.82 And (And (occurrence_of X113 tptp1) (subactivity_occurrence X113 (skS.0 19 a_1)))
% 10.55/10.82 (min_precedes a_2 X113 tptp0)))
% 10.55/10.82 False)
% 10.55/10.82 (Or (Eq (leaf_occ a (skS.0 19 a_1)) False)
% 10.55/10.82 (Eq
% 10.55/10.82 (occurrence_of a tptp1 →
% 10.55/10.82 Not
% 10.55/10.82 (Exists fun X112 =>
% 10.55/10.82 And (And (occurrence_of X112 tptp2) (subactivity_occurrence X112 (skS.0 19 a_1)))
% 10.55/10.82 (min_precedes a_2 X112 tptp0)))
% 10.55/10.82 False))
% 10.55/10.82 Clause #448 (by clausification #[447]): ∀ (a a_1 a_2 : Iota),
% 10.55/10.82 Or (Eq (leaf_occ a (skS.0 19 a_1)) False)
% 10.55/10.82 (Or
% 10.55/10.82 (Eq
% 10.55/10.82 (occurrence_of a tptp1 →
% 10.55/10.82 Not
% 10.55/10.82 (Exists fun X112 =>
% 10.55/10.82 And (And (occurrence_of X112 tptp2) (subactivity_occurrence X112 (skS.0 19 a_1)))
% 10.55/10.82 (min_precedes a_2 X112 tptp0)))
% 10.55/10.82 False)
% 10.55/10.82 (Eq (occurrence_of a tptp2) True))
% 10.55/10.82 Clause #449 (by clausification #[447]): ∀ (a a_1 a_2 : Iota),
% 10.55/10.82 Or (Eq (leaf_occ a (skS.0 19 a_1)) False)
% 10.55/10.82 (Or
% 10.55/10.82 (Eq
% 10.55/10.82 (occurrence_of a tptp1 →
% 10.55/10.82 Not
% 10.55/10.82 (Exists fun X112 =>
% 10.55/10.82 And (And (occurrence_of X112 tptp2) (subactivity_occurrence X112 (skS.0 19 a_1)))
% 10.55/10.82 (min_precedes a_2 X112 tptp0)))
% 10.55/10.82 False)
% 10.55/10.82 (Eq
% 10.55/10.82 (Not
% 10.55/10.82 (Exists fun X113 =>
% 10.55/10.82 And (And (occurrence_of X113 tptp1) (subactivity_occurrence X113 (skS.0 19 a_1)))
% 10.55/10.82 (min_precedes a_2 X113 tptp0)))
% 10.55/10.82 False))
% 10.55/10.82 Clause #451 (by clausification #[448]): ∀ (a a_1 a_2 : Iota),
% 10.55/10.82 Or (Eq (leaf_occ a (skS.0 19 a_1)) False)
% 10.55/10.82 (Or (Eq (occurrence_of a tptp2) True)
% 10.55/10.82 (Eq
% 10.55/10.82 (Not
% 10.55/10.82 (Exists fun X112 =>
% 10.55/10.82 And (And (occurrence_of X112 tptp2) (subactivity_occurrence X112 (skS.0 19 a_1)))
% 10.55/10.82 (min_precedes a_2 X112 tptp0)))
% 10.55/10.82 False))
% 10.55/10.82 Clause #462 (by clausification #[451]): ∀ (a a_1 a_2 : Iota),
% 10.55/10.82 Or (Eq (leaf_occ a (skS.0 19 a_1)) False)
% 10.55/10.82 (Or (Eq (occurrence_of a tptp2) True)
% 10.55/10.82 (Eq
% 10.55/10.82 (Exists fun X112 =>
% 10.67/10.84 And (And (occurrence_of X112 tptp2) (subactivity_occurrence X112 (skS.0 19 a_1)))
% 10.67/10.84 (min_precedes a_2 X112 tptp0))
% 10.67/10.84 True))
% 10.67/10.84 Clause #463 (by clausification #[462]): ∀ (a a_1 a_2 a_3 : Iota),
% 10.67/10.84 Or (Eq (leaf_occ a (skS.0 19 a_1)) False)
% 10.67/10.84 (Or (Eq (occurrence_of a tptp2) True)
% 10.67/10.84 (Eq
% 10.67/10.84 (And
% 10.67/10.84 (And (occurrence_of (skS.0 20 a_1 a_2 a_3) tptp2)
% 10.67/10.84 (subactivity_occurrence (skS.0 20 a_1 a_2 a_3) (skS.0 19 a_1)))
% 10.67/10.84 (min_precedes a_2 (skS.0 20 a_1 a_2 a_3) tptp0))
% 10.67/10.84 True))
% 10.67/10.84 Clause #464 (by clausification #[463]): ∀ (a a_1 a_2 a_3 : Iota),
% 10.67/10.84 Or (Eq (leaf_occ a (skS.0 19 a_1)) False)
% 10.67/10.84 (Or (Eq (occurrence_of a tptp2) True) (Eq (min_precedes a_2 (skS.0 20 a_1 a_2 a_3) tptp0) True))
% 10.67/10.84 Clause #466 (by superposition #[464, 381]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 10.67/10.84 Or (Eq (occurrence_of (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) tptp2) True)
% 10.67/10.84 (Or (Eq (min_precedes a_4 (skS.0 20 a a_4 a_5) tptp0) True) (Eq False True))
% 10.67/10.84 Clause #469 (by clausification #[466]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 10.67/10.84 Or (Eq (occurrence_of (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) tptp2) True)
% 10.67/10.84 (Eq (min_precedes a_4 (skS.0 20 a a_4 a_5) tptp0) True)
% 10.67/10.84 Clause #669 (by clausification #[382]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 10.67/10.84 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
% 10.67/10.84 Clause #693 (by clausification #[384]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 10.67/10.84 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
% 10.67/10.84 Clause #694 (by superposition #[693, 338]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 10.67/10.84 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))
% 10.67/10.84 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)
% 10.67/10.84 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
% 10.67/10.84 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)
% 10.67/10.84 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
% 10.67/10.84 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)
% 10.67/10.84 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
% 10.67/10.84 Clause #712 (by superposition #[709, 80]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 10.67/10.84 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))
% 10.67/10.84 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)
% 10.67/10.84 Clause #1041 (by clausification #[449]): ∀ (a a_1 a_2 : Iota),
% 10.67/10.84 Or (Eq (leaf_occ a (skS.0 19 a_1)) False)
% 10.67/10.84 (Or
% 10.67/10.84 (Eq
% 10.67/10.84 (Not
% 10.67/10.84 (Exists fun X113 =>
% 10.67/10.84 And (And (occurrence_of X113 tptp1) (subactivity_occurrence X113 (skS.0 19 a_1)))
% 10.67/10.84 (min_precedes a_2 X113 tptp0)))
% 10.67/10.84 False)
% 10.67/10.84 (Eq (occurrence_of a tptp1) True))
% 10.67/10.84 Clause #1043 (by clausification #[1041]): ∀ (a a_1 a_2 : Iota),
% 10.67/10.84 Or (Eq (leaf_occ a (skS.0 19 a_1)) False)
% 10.67/10.84 (Or (Eq (occurrence_of a tptp1) True)
% 10.67/10.84 (Eq
% 10.67/10.84 (Exists fun X113 =>
% 10.67/10.84 And (And (occurrence_of X113 tptp1) (subactivity_occurrence X113 (skS.0 19 a_1)))
% 10.67/10.84 (min_precedes a_2 X113 tptp0))
% 10.67/10.84 True))
% 10.67/10.84 Clause #1044 (by clausification #[1043]): ∀ (a a_1 a_2 a_3 : Iota),
% 10.67/10.84 Or (Eq (leaf_occ a (skS.0 19 a_1)) False)
% 10.67/10.84 (Or (Eq (occurrence_of a tptp1) True)
% 10.67/10.84 (Eq
% 10.67/10.84 (And
% 10.67/10.84 (And (occurrence_of (skS.0 21 a_1 a_2 a_3) tptp1)
% 10.67/10.84 (subactivity_occurrence (skS.0 21 a_1 a_2 a_3) (skS.0 19 a_1)))
% 10.67/10.84 (min_precedes a_2 (skS.0 21 a_1 a_2 a_3) tptp0))
% 10.67/10.84 True))
% 10.67/10.84 Clause #1045 (by clausification #[1044]): ∀ (a a_1 a_2 a_3 : Iota),
% 10.67/10.85 Or (Eq (leaf_occ a (skS.0 19 a_1)) False)
% 10.67/10.85 (Or (Eq (occurrence_of a tptp1) True) (Eq (min_precedes a_2 (skS.0 21 a_1 a_2 a_3) tptp0) True))
% 10.67/10.85 Clause #1047 (by superposition #[1045, 381]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 10.67/10.85 Or (Eq (occurrence_of (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) tptp1) True)
% 10.67/10.85 (Or (Eq (min_precedes a_4 (skS.0 21 a a_4 a_5) tptp0) True) (Eq False True))
% 10.67/10.85 Clause #1048 (by clausification #[1047]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 10.67/10.85 Or (Eq (occurrence_of (skS.0 17 (skS.0 19 a) a_1 a_2 a_3) tptp1) True)
% 10.67/10.85 (Eq (min_precedes a_4 (skS.0 21 a a_4 a_5) tptp0) True)
% 10.67/10.85 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))
% 10.67/10.85 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)
% 10.67/10.85 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
% 10.67/10.85 Clause #1078 (by superposition #[1077, 707]): Eq True False
% 10.67/10.85 Clause #1094 (by clausification #[1078]): False
% 10.67/10.85 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------