TSTP Solution File: PRO010+4 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : PRO010+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n005.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 13:06:49 EDT 2023
% Result : Theorem 5.76s 6.10s
% Output : Proof 5.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : PRO010+4 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 19:12:08 EDT 2023
% 0.14/0.34 % CPUTime :
% 5.76/6.10 SZS status Theorem for theBenchmark.p
% 5.76/6.10 SZS output start Proof for theBenchmark.p
% 5.76/6.10 Clause #8 (by assumption #[]): Eq (∀ (X28 X29 X30 : Iota), And (occurrence_of X28 X29) (occurrence_of X28 X30) → Eq X29 X30) True
% 5.76/6.10 Clause #9 (by assumption #[]): Eq
% 5.76/6.10 (∀ (X31 X32 X33 : Iota),
% 5.76/6.10 And (occurrence_of X31 X33) (leaf_occ X32 X31) → Not (Exists fun X34 => min_precedes X32 X34 X33))
% 5.76/6.10 True
% 5.76/6.10 Clause #32 (by assumption #[]): Eq
% 5.76/6.10 (∀ (X101 : Iota),
% 5.76/6.10 occurrence_of X101 tptp0 →
% 5.76/6.10 Exists fun X102 =>
% 5.76/6.10 Exists fun X103 =>
% 5.76/6.10 Exists fun X104 =>
% 5.76/6.10 And
% 5.76/6.10 (And
% 5.76/6.10 (And
% 5.76/6.10 (And (And (And (occurrence_of X102 tptp3) (root_occ X102 X101)) (occurrence_of X103 tptp4))
% 5.76/6.10 (next_subocc X102 X103 tptp0))
% 5.76/6.10 (Or (occurrence_of X104 tptp1) (occurrence_of X104 tptp2)))
% 5.76/6.10 (next_subocc X103 X104 tptp0))
% 5.76/6.10 (leaf_occ X104 X101))
% 5.76/6.10 True
% 5.76/6.10 Clause #44 (by assumption #[]): Eq (Ne tptp1 tptp2) True
% 5.76/6.10 Clause #45 (by assumption #[]): Eq
% 5.76/6.10 (Not
% 5.76/6.10 (∀ (X105 : Iota),
% 5.76/6.10 occurrence_of X105 tptp0 →
% 5.76/6.10 Exists fun X106 =>
% 5.76/6.10 Exists fun X107 =>
% 5.76/6.10 And
% 5.76/6.10 (And (leaf_occ X107 X105)
% 5.76/6.10 (occurrence_of X107 tptp1 →
% 5.76/6.10 Not (Exists fun X108 => And (occurrence_of X108 tptp2) (min_precedes X106 X108 tptp0))))
% 5.76/6.10 (occurrence_of X107 tptp2 →
% 5.76/6.10 Not (Exists fun X109 => And (occurrence_of X109 tptp1) (min_precedes X106 X109 tptp0)))))
% 5.76/6.10 True
% 5.76/6.10 Clause #72 (by clausification #[44]): Ne tptp1 tptp2
% 5.76/6.10 Clause #129 (by clausification #[8]): ∀ (a : Iota), Eq (∀ (X29 X30 : Iota), And (occurrence_of a X29) (occurrence_of a X30) → Eq X29 X30) True
% 5.76/6.10 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
% 5.76/6.10 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
% 5.76/6.10 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)
% 5.76/6.10 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))
% 5.76/6.10 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))
% 5.76/6.10 Clause #210 (by clausification #[9]): ∀ (a : Iota),
% 5.76/6.10 Eq (∀ (X32 X33 : Iota), And (occurrence_of a X33) (leaf_occ X32 a) → Not (Exists fun X34 => min_precedes X32 X34 X33))
% 5.76/6.10 True
% 5.76/6.10 Clause #211 (by clausification #[210]): ∀ (a a_1 : Iota),
% 5.76/6.10 Eq (∀ (X33 : Iota), And (occurrence_of a X33) (leaf_occ a_1 a) → Not (Exists fun X34 => min_precedes a_1 X34 X33))
% 5.76/6.10 True
% 5.76/6.10 Clause #212 (by clausification #[211]): ∀ (a a_1 a_2 : Iota),
% 5.76/6.10 Eq (And (occurrence_of a a_1) (leaf_occ a_2 a) → Not (Exists fun X34 => min_precedes a_2 X34 a_1)) True
% 5.76/6.10 Clause #213 (by clausification #[212]): ∀ (a a_1 a_2 : Iota),
% 5.76/6.10 Or (Eq (And (occurrence_of a a_1) (leaf_occ a_2 a)) False)
% 5.76/6.10 (Eq (Not (Exists fun X34 => min_precedes a_2 X34 a_1)) True)
% 5.76/6.10 Clause #214 (by clausification #[213]): ∀ (a a_1 a_2 : Iota),
% 5.76/6.10 Or (Eq (Not (Exists fun X34 => min_precedes a X34 a_1)) True)
% 5.76/6.10 (Or (Eq (occurrence_of a_2 a_1) False) (Eq (leaf_occ a a_2) False))
% 5.76/6.10 Clause #215 (by clausification #[214]): ∀ (a a_1 a_2 : Iota),
% 5.76/6.10 Or (Eq (occurrence_of a a_1) False)
% 5.76/6.10 (Or (Eq (leaf_occ a_2 a) False) (Eq (Exists fun X34 => min_precedes a_2 X34 a_1) False))
% 5.76/6.10 Clause #216 (by clausification #[215]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.76/6.10 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))
% 5.76/6.10 Clause #293 (by clausification #[32]): ∀ (a : Iota),
% 5.76/6.10 Eq
% 5.76/6.10 (occurrence_of a tptp0 →
% 5.76/6.10 Exists fun X102 =>
% 5.76/6.10 Exists fun X103 =>
% 5.76/6.10 Exists fun X104 =>
% 5.76/6.10 And
% 5.76/6.10 (And
% 5.76/6.10 (And
% 5.76/6.10 (And (And (And (occurrence_of X102 tptp3) (root_occ X102 a)) (occurrence_of X103 tptp4))
% 5.76/6.12 (next_subocc X102 X103 tptp0))
% 5.76/6.12 (Or (occurrence_of X104 tptp1) (occurrence_of X104 tptp2)))
% 5.76/6.12 (next_subocc X103 X104 tptp0))
% 5.76/6.12 (leaf_occ X104 a))
% 5.76/6.12 True
% 5.76/6.12 Clause #294 (by clausification #[293]): ∀ (a : Iota),
% 5.76/6.12 Or (Eq (occurrence_of a tptp0) False)
% 5.76/6.12 (Eq
% 5.76/6.12 (Exists fun X102 =>
% 5.76/6.12 Exists fun X103 =>
% 5.76/6.12 Exists fun X104 =>
% 5.76/6.12 And
% 5.76/6.12 (And
% 5.76/6.12 (And
% 5.76/6.12 (And (And (And (occurrence_of X102 tptp3) (root_occ X102 a)) (occurrence_of X103 tptp4))
% 5.76/6.12 (next_subocc X102 X103 tptp0))
% 5.76/6.12 (Or (occurrence_of X104 tptp1) (occurrence_of X104 tptp2)))
% 5.76/6.12 (next_subocc X103 X104 tptp0))
% 5.76/6.12 (leaf_occ X104 a))
% 5.76/6.12 True)
% 5.76/6.12 Clause #295 (by clausification #[294]): ∀ (a a_1 : Iota),
% 5.76/6.12 Or (Eq (occurrence_of a tptp0) False)
% 5.76/6.12 (Eq
% 5.76/6.12 (Exists fun X103 =>
% 5.76/6.12 Exists fun X104 =>
% 5.76/6.12 And
% 5.76/6.12 (And
% 5.76/6.12 (And
% 5.96/6.12 (And
% 5.96/6.12 (And (And (occurrence_of (skS.0 12 a a_1) tptp3) (root_occ (skS.0 12 a a_1) a))
% 5.96/6.12 (occurrence_of X103 tptp4))
% 5.96/6.12 (next_subocc (skS.0 12 a a_1) X103 tptp0))
% 5.96/6.12 (Or (occurrence_of X104 tptp1) (occurrence_of X104 tptp2)))
% 5.96/6.12 (next_subocc X103 X104 tptp0))
% 5.96/6.12 (leaf_occ X104 a))
% 5.96/6.12 True)
% 5.96/6.12 Clause #296 (by clausification #[295]): ∀ (a a_1 a_2 : Iota),
% 5.96/6.12 Or (Eq (occurrence_of a tptp0) False)
% 5.96/6.12 (Eq
% 5.96/6.12 (Exists fun X104 =>
% 5.96/6.12 And
% 5.96/6.12 (And
% 5.96/6.12 (And
% 5.96/6.12 (And
% 5.96/6.12 (And (And (occurrence_of (skS.0 12 a a_1) tptp3) (root_occ (skS.0 12 a a_1) a))
% 5.96/6.12 (occurrence_of (skS.0 13 a a_1 a_2) tptp4))
% 5.96/6.12 (next_subocc (skS.0 12 a a_1) (skS.0 13 a a_1 a_2) tptp0))
% 5.96/6.12 (Or (occurrence_of X104 tptp1) (occurrence_of X104 tptp2)))
% 5.96/6.12 (next_subocc (skS.0 13 a a_1 a_2) X104 tptp0))
% 5.96/6.12 (leaf_occ X104 a))
% 5.96/6.12 True)
% 5.96/6.12 Clause #297 (by clausification #[296]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.96/6.12 Or (Eq (occurrence_of a tptp0) False)
% 5.96/6.12 (Eq
% 5.96/6.12 (And
% 5.96/6.12 (And
% 5.96/6.12 (And
% 5.96/6.12 (And
% 5.96/6.12 (And (And (occurrence_of (skS.0 12 a a_1) tptp3) (root_occ (skS.0 12 a a_1) a))
% 5.96/6.12 (occurrence_of (skS.0 13 a a_1 a_2) tptp4))
% 5.96/6.12 (next_subocc (skS.0 12 a a_1) (skS.0 13 a a_1 a_2) tptp0))
% 5.96/6.12 (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)))
% 5.96/6.12 (next_subocc (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) tptp0))
% 5.96/6.12 (leaf_occ (skS.0 14 a a_1 a_2 a_3) a))
% 5.96/6.12 True)
% 5.96/6.12 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)
% 5.96/6.12 Clause #308 (by clausification #[45]): Eq
% 5.96/6.12 (∀ (X105 : Iota),
% 5.96/6.12 occurrence_of X105 tptp0 →
% 5.96/6.12 Exists fun X106 =>
% 5.96/6.12 Exists fun X107 =>
% 5.96/6.12 And
% 5.96/6.12 (And (leaf_occ X107 X105)
% 5.96/6.12 (occurrence_of X107 tptp1 →
% 5.96/6.12 Not (Exists fun X108 => And (occurrence_of X108 tptp2) (min_precedes X106 X108 tptp0))))
% 5.96/6.12 (occurrence_of X107 tptp2 →
% 5.96/6.12 Not (Exists fun X109 => And (occurrence_of X109 tptp1) (min_precedes X106 X109 tptp0))))
% 5.96/6.12 False
% 5.96/6.12 Clause #309 (by clausification #[308]): ∀ (a : Iota),
% 5.96/6.12 Eq
% 5.96/6.12 (Not
% 5.96/6.12 (occurrence_of (skS.0 16 a) tptp0 →
% 5.96/6.12 Exists fun X106 =>
% 5.96/6.12 Exists fun X107 =>
% 5.96/6.12 And
% 5.96/6.12 (And (leaf_occ X107 (skS.0 16 a))
% 5.96/6.12 (occurrence_of X107 tptp1 →
% 5.96/6.12 Not (Exists fun X108 => And (occurrence_of X108 tptp2) (min_precedes X106 X108 tptp0))))
% 5.96/6.12 (occurrence_of X107 tptp2 →
% 5.96/6.12 Not (Exists fun X109 => And (occurrence_of X109 tptp1) (min_precedes X106 X109 tptp0)))))
% 5.96/6.12 True
% 5.96/6.12 Clause #310 (by clausification #[309]): ∀ (a : Iota),
% 5.96/6.12 Eq
% 5.96/6.12 (occurrence_of (skS.0 16 a) tptp0 →
% 5.96/6.12 Exists fun X106 =>
% 5.96/6.12 Exists fun X107 =>
% 5.96/6.12 And
% 5.96/6.12 (And (leaf_occ X107 (skS.0 16 a))
% 5.96/6.12 (occurrence_of X107 tptp1 →
% 5.96/6.14 Not (Exists fun X108 => And (occurrence_of X108 tptp2) (min_precedes X106 X108 tptp0))))
% 5.96/6.14 (occurrence_of X107 tptp2 →
% 5.96/6.14 Not (Exists fun X109 => And (occurrence_of X109 tptp1) (min_precedes X106 X109 tptp0))))
% 5.96/6.14 False
% 5.96/6.14 Clause #311 (by clausification #[310]): ∀ (a : Iota), Eq (occurrence_of (skS.0 16 a) tptp0) True
% 5.96/6.14 Clause #312 (by clausification #[310]): ∀ (a : Iota),
% 5.96/6.14 Eq
% 5.96/6.14 (Exists fun X106 =>
% 5.96/6.14 Exists fun X107 =>
% 5.96/6.14 And
% 5.96/6.14 (And (leaf_occ X107 (skS.0 16 a))
% 5.96/6.14 (occurrence_of X107 tptp1 →
% 5.96/6.14 Not (Exists fun X108 => And (occurrence_of X108 tptp2) (min_precedes X106 X108 tptp0))))
% 5.96/6.14 (occurrence_of X107 tptp2 →
% 5.96/6.14 Not (Exists fun X109 => And (occurrence_of X109 tptp1) (min_precedes X106 X109 tptp0))))
% 5.96/6.14 False
% 5.96/6.14 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)
% 5.96/6.14 Clause #321 (by superposition #[311, 216]): ∀ (a a_1 a_2 : Iota),
% 5.96/6.14 Or (Eq True False) (Or (Eq (leaf_occ a (skS.0 16 a_1)) False) (Eq (min_precedes a a_2 tptp0) False))
% 5.96/6.14 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)
% 5.96/6.14 Clause #367 (by clausification #[312]): ∀ (a a_1 : Iota),
% 5.96/6.14 Eq
% 5.96/6.14 (Exists fun X107 =>
% 5.96/6.14 And
% 5.96/6.14 (And (leaf_occ X107 (skS.0 16 a))
% 5.96/6.14 (occurrence_of X107 tptp1 →
% 5.96/6.14 Not (Exists fun X108 => And (occurrence_of X108 tptp2) (min_precedes a_1 X108 tptp0))))
% 5.96/6.14 (occurrence_of X107 tptp2 →
% 5.96/6.14 Not (Exists fun X109 => And (occurrence_of X109 tptp1) (min_precedes a_1 X109 tptp0))))
% 5.96/6.14 False
% 5.96/6.14 Clause #368 (by clausification #[367]): ∀ (a a_1 a_2 : Iota),
% 5.96/6.14 Eq
% 5.96/6.14 (And
% 5.96/6.14 (And (leaf_occ a (skS.0 16 a_1))
% 5.96/6.14 (occurrence_of a tptp1 → Not (Exists fun X108 => And (occurrence_of X108 tptp2) (min_precedes a_2 X108 tptp0))))
% 5.96/6.14 (occurrence_of a tptp2 → Not (Exists fun X109 => And (occurrence_of X109 tptp1) (min_precedes a_2 X109 tptp0))))
% 5.96/6.14 False
% 5.96/6.14 Clause #369 (by clausification #[368]): ∀ (a a_1 a_2 : Iota),
% 5.96/6.14 Or
% 5.96/6.14 (Eq
% 5.96/6.14 (And (leaf_occ a (skS.0 16 a_1))
% 5.96/6.14 (occurrence_of a tptp1 → Not (Exists fun X108 => And (occurrence_of X108 tptp2) (min_precedes a_2 X108 tptp0))))
% 5.96/6.14 False)
% 5.96/6.14 (Eq (occurrence_of a tptp2 → Not (Exists fun X109 => And (occurrence_of X109 tptp1) (min_precedes a_2 X109 tptp0)))
% 5.96/6.14 False)
% 5.96/6.14 Clause #370 (by clausification #[369]): ∀ (a a_1 a_2 : Iota),
% 5.96/6.14 Or
% 5.96/6.14 (Eq (occurrence_of a tptp2 → Not (Exists fun X109 => And (occurrence_of X109 tptp1) (min_precedes a_1 X109 tptp0)))
% 5.96/6.14 False)
% 5.96/6.14 (Or (Eq (leaf_occ a (skS.0 16 a_2)) False)
% 5.96/6.14 (Eq
% 5.96/6.14 (occurrence_of a tptp1 → Not (Exists fun X108 => And (occurrence_of X108 tptp2) (min_precedes a_1 X108 tptp0)))
% 5.96/6.14 False))
% 5.96/6.14 Clause #371 (by clausification #[370]): ∀ (a a_1 a_2 : Iota),
% 5.96/6.14 Or (Eq (leaf_occ a (skS.0 16 a_1)) False)
% 5.96/6.14 (Or
% 5.96/6.14 (Eq
% 5.96/6.14 (occurrence_of a tptp1 → Not (Exists fun X108 => And (occurrence_of X108 tptp2) (min_precedes a_2 X108 tptp0)))
% 5.96/6.14 False)
% 5.96/6.14 (Eq (occurrence_of a tptp2) True))
% 5.96/6.14 Clause #372 (by clausification #[370]): ∀ (a a_1 a_2 : Iota),
% 5.96/6.14 Or (Eq (leaf_occ a (skS.0 16 a_1)) False)
% 5.96/6.14 (Or
% 5.96/6.14 (Eq
% 5.96/6.14 (occurrence_of a tptp1 → Not (Exists fun X108 => And (occurrence_of X108 tptp2) (min_precedes a_2 X108 tptp0)))
% 5.96/6.14 False)
% 5.96/6.14 (Eq (Not (Exists fun X109 => And (occurrence_of X109 tptp1) (min_precedes a_2 X109 tptp0))) False))
% 5.96/6.14 Clause #374 (by clausification #[371]): ∀ (a a_1 a_2 : Iota),
% 5.96/6.14 Or (Eq (leaf_occ a (skS.0 16 a_1)) False)
% 5.96/6.14 (Or (Eq (occurrence_of a tptp2) True)
% 5.96/6.14 (Eq (Not (Exists fun X108 => And (occurrence_of X108 tptp2) (min_precedes a_2 X108 tptp0))) False))
% 5.96/6.14 Clause #382 (by clausification #[374]): ∀ (a a_1 a_2 : Iota),
% 5.96/6.14 Or (Eq (leaf_occ a (skS.0 16 a_1)) False)
% 5.96/6.14 (Or (Eq (occurrence_of a tptp2) True)
% 5.96/6.14 (Eq (Exists fun X108 => And (occurrence_of X108 tptp2) (min_precedes a_2 X108 tptp0)) True))
% 5.96/6.17 Clause #383 (by clausification #[382]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.96/6.17 Or (Eq (leaf_occ a (skS.0 16 a_1)) False)
% 5.96/6.17 (Or (Eq (occurrence_of a tptp2) True)
% 5.96/6.17 (Eq (And (occurrence_of (skS.0 17 a_2 a_3) tptp2) (min_precedes a_2 (skS.0 17 a_2 a_3) tptp0)) True))
% 5.96/6.17 Clause #384 (by clausification #[383]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.96/6.17 Or (Eq (leaf_occ a (skS.0 16 a_1)) False)
% 5.96/6.17 (Or (Eq (occurrence_of a tptp2) True) (Eq (min_precedes a_2 (skS.0 17 a_2 a_3) tptp0) True))
% 5.96/6.17 Clause #386 (by clausification #[313]): ∀ (a a_1 a_2 a_3 : Iota), Eq (leaf_occ (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) (skS.0 16 a)) True
% 5.96/6.17 Clause #387 (by superposition #[386, 337]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq True False) (Eq (min_precedes (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4 tptp0) False)
% 5.96/6.17 Clause #389 (by superposition #[386, 384]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 5.96/6.17 Or (Eq True False)
% 5.96/6.17 (Or (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp2) True)
% 5.96/6.17 (Eq (min_precedes a_4 (skS.0 17 a_4 a_5) tptp0) True))
% 5.96/6.17 Clause #394 (by clausification #[387]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (min_precedes (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4 tptp0) False
% 5.96/6.17 Clause #523 (by clausification #[389]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 5.96/6.17 Or (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp2) True)
% 5.96/6.17 (Eq (min_precedes a_4 (skS.0 17 a_4 a_5) tptp0) True)
% 5.96/6.17 Clause #534 (by superposition #[523, 394]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp2) True) (Eq True False)
% 5.96/6.17 Clause #548 (by clausification #[534]): ∀ (a a_1 a_2 a_3 : Iota), Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp2) True
% 5.96/6.17 Clause #552 (by superposition #[548, 134]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 5.96/6.17 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))
% 5.96/6.17 Clause #566 (by clausification #[552]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) False) (Eq tptp2 a_4)
% 5.96/6.17 Clause #593 (by clausification #[372]): ∀ (a a_1 a_2 : Iota),
% 5.96/6.17 Or (Eq (leaf_occ a (skS.0 16 a_1)) False)
% 5.96/6.17 (Or (Eq (Not (Exists fun X109 => And (occurrence_of X109 tptp1) (min_precedes a_2 X109 tptp0))) False)
% 5.96/6.17 (Eq (occurrence_of a tptp1) True))
% 5.96/6.17 Clause #595 (by clausification #[593]): ∀ (a a_1 a_2 : Iota),
% 5.96/6.17 Or (Eq (leaf_occ a (skS.0 16 a_1)) False)
% 5.96/6.17 (Or (Eq (occurrence_of a tptp1) True)
% 5.96/6.17 (Eq (Exists fun X109 => And (occurrence_of X109 tptp1) (min_precedes a_2 X109 tptp0)) True))
% 5.96/6.17 Clause #596 (by clausification #[595]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.96/6.17 Or (Eq (leaf_occ a (skS.0 16 a_1)) False)
% 5.96/6.17 (Or (Eq (occurrence_of a tptp1) True)
% 5.96/6.17 (Eq (And (occurrence_of (skS.0 18 a_2 a_3) tptp1) (min_precedes a_2 (skS.0 18 a_2 a_3) tptp0)) True))
% 5.96/6.17 Clause #597 (by clausification #[596]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.96/6.17 Or (Eq (leaf_occ a (skS.0 16 a_1)) False)
% 5.96/6.17 (Or (Eq (occurrence_of a tptp1) True) (Eq (min_precedes a_2 (skS.0 18 a_2 a_3) tptp0) True))
% 5.96/6.17 Clause #599 (by superposition #[597, 386]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 5.96/6.17 Or (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp1) True)
% 5.96/6.17 (Or (Eq (min_precedes a_4 (skS.0 18 a_4 a_5) tptp0) True) (Eq False True))
% 5.96/6.17 Clause #704 (by clausification #[599]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 5.96/6.17 Or (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp1) True)
% 5.96/6.17 (Eq (min_precedes a_4 (skS.0 18 a_4 a_5) tptp0) True)
% 5.96/6.17 Clause #705 (by superposition #[704, 566]): ∀ (a a_1 : Iota), Or (Eq (min_precedes a (skS.0 18 a a_1) tptp0) True) (Or (Eq True False) (Eq tptp2 tptp1))
% 5.96/6.17 Clause #728 (by clausification #[705]): ∀ (a a_1 : Iota), Or (Eq (min_precedes a (skS.0 18 a a_1) tptp0) True) (Eq tptp2 tptp1)
% 5.96/6.17 Clause #729 (by forward contextual literal cutting #[728, 72]): ∀ (a a_1 : Iota), Eq (min_precedes a (skS.0 18 a a_1) tptp0) True
% 5.96/6.17 Clause #730 (by superposition #[729, 394]): Eq True False
% 5.96/6.17 Clause #742 (by clausification #[730]): False
% 5.96/6.17 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------