TSTP Solution File: SWW530_5 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SWW530_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n028.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 Sep 1 00:26:40 EDT 2023
% Result : Theorem 132.40s 132.77s
% Output : Proof 132.89s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW530_5 : TPTP v8.1.2. Released v6.0.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n028.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
% 0.19/0.35 % CPULimit : 300
% 0.19/0.35 % WCLimit : 300
% 0.19/0.35 % DateTime : Sun Aug 27 19:26:54 EDT 2023
% 0.19/0.35 % CPUTime :
% 132.40/132.77 SZS status Theorem for theBenchmark.p
% 132.40/132.77 SZS output start Proof for theBenchmark.p
% 132.40/132.77 Clause #1 (by assumption #[]): Eq
% 132.40/132.77 (∀ (A : Type) (A3 : A) (T : huffma1450048681e_tree A),
% 132.40/132.77 ord_less_eq nat (huffma410068972_depth A T A3) (huffma945805758height A T))
% 132.40/132.77 True
% 132.40/132.77 Clause #5 (by assumption #[]): Eq (∀ (A : Type), linorder A → ∀ (Y X : A), ord_less_eq A X (ord_max A X Y)) True
% 132.40/132.77 Clause #6 (by assumption #[]): Eq (∀ (A : Type), linorder A → ∀ (X Y : A), ord_less_eq A Y (ord_max A X Y)) True
% 132.40/132.77 Clause #38 (by assumption #[]): Eq (∀ (N M : nat), ord_less_eq nat M N → ord_less_eq nat N M → Eq M N) True
% 132.40/132.77 Clause #103 (by assumption #[]): Eq (linorder nat) True
% 132.40/132.77 Clause #116 (by assumption #[]): Eq (Eq (huffma410068972_depth a t_2 a1) (ord_max nat (huffma945805758height b t_1) (huffma945805758height a t_2))) True
% 132.40/132.77 Clause #117 (by assumption #[]): Eq
% 132.40/132.77 (Eq (huffma410068972_depth a t_2 a1) (huffma945805758height a t_2) →
% 132.40/132.77 ord_less_eq nat (huffma945805758height b t_1) (huffma945805758height a t_2) → p)
% 132.40/132.77 True
% 132.40/132.77 Clause #118 (by assumption #[]): Eq (Not p) True
% 132.40/132.77 Clause #119 (by clausification #[118]): Eq p False
% 132.40/132.77 Clause #131 (by clausification #[1]): ∀ (a : Type),
% 132.40/132.77 Eq
% 132.40/132.77 (∀ (A3 : a) (T : huffma1450048681e_tree a),
% 132.40/132.77 ord_less_eq nat (huffma410068972_depth a T A3) (huffma945805758height a T))
% 132.40/132.77 True
% 132.40/132.77 Clause #132 (by clausification #[131]): ∀ (a : Type) (a_1 : a),
% 132.40/132.77 Eq (∀ (T : huffma1450048681e_tree a), ord_less_eq nat (huffma410068972_depth a T a_1) (huffma945805758height a T))
% 132.40/132.77 True
% 132.40/132.77 Clause #133 (by clausification #[132]): ∀ (a : Type) (a_1 : huffma1450048681e_tree a) (a_2 : a),
% 132.40/132.77 Eq (ord_less_eq nat (huffma410068972_depth a a_1 a_2) (huffma945805758height a a_1)) True
% 132.40/132.77 Clause #153 (by clausification #[117]): Or (Eq (Eq (huffma410068972_depth a t_2 a1) (huffma945805758height a t_2)) False)
% 132.40/132.77 (Eq (ord_less_eq nat (huffma945805758height b t_1) (huffma945805758height a t_2) → p) True)
% 132.40/132.77 Clause #154 (by clausification #[153]): Or (Eq (ord_less_eq nat (huffma945805758height b t_1) (huffma945805758height a t_2) → p) True)
% 132.40/132.77 (Ne (huffma410068972_depth a t_2 a1) (huffma945805758height a t_2))
% 132.40/132.77 Clause #155 (by clausification #[154]): Or (Ne (huffma410068972_depth a t_2 a1) (huffma945805758height a t_2))
% 132.40/132.77 (Or (Eq (ord_less_eq nat (huffma945805758height b t_1) (huffma945805758height a t_2)) False) (Eq p True))
% 132.40/132.77 Clause #156 (by forward demodulation #[155, 119]): Or (Ne (huffma410068972_depth a t_2 a1) (huffma945805758height a t_2))
% 132.40/132.77 (Or (Eq (ord_less_eq nat (huffma945805758height b t_1) (huffma945805758height a t_2)) False) (Eq False True))
% 132.40/132.77 Clause #157 (by clausification #[156]): Or (Ne (huffma410068972_depth a t_2 a1) (huffma945805758height a t_2))
% 132.40/132.77 (Eq (ord_less_eq nat (huffma945805758height b t_1) (huffma945805758height a t_2)) False)
% 132.40/132.77 Clause #168 (by clausification #[5]): ∀ (a : Type), Eq (linorder a → ∀ (Y X : a), ord_less_eq a X (ord_max a X Y)) True
% 132.40/132.77 Clause #169 (by clausification #[168]): ∀ (a : Type), Or (Eq (linorder a) False) (Eq (∀ (Y X : a), ord_less_eq a X (ord_max a X Y)) True)
% 132.40/132.77 Clause #170 (by clausification #[169]): ∀ (a : Type) (a_1 : a), Or (Eq (linorder a) False) (Eq (∀ (X : a), ord_less_eq a X (ord_max a X a_1)) True)
% 132.40/132.77 Clause #171 (by clausification #[170]): ∀ (a : Type) (a_1 a_2 : a), Or (Eq (linorder a) False) (Eq (ord_less_eq a a_1 (ord_max a a_1 a_2)) True)
% 132.40/132.77 Clause #173 (by superposition #[171, 103]): ∀ (a a_1 : nat), Or (Eq (ord_less_eq nat a (ord_max nat a a_1)) True) (Eq False True)
% 132.40/132.77 Clause #196 (by clausification #[6]): ∀ (a : Type), Eq (linorder a → ∀ (X Y : a), ord_less_eq a Y (ord_max a X Y)) True
% 132.40/132.77 Clause #197 (by clausification #[196]): ∀ (a : Type), Or (Eq (linorder a) False) (Eq (∀ (X Y : a), ord_less_eq a Y (ord_max a X Y)) True)
% 132.40/132.77 Clause #198 (by clausification #[197]): ∀ (a : Type) (a_1 : a), Or (Eq (linorder a) False) (Eq (∀ (Y : a), ord_less_eq a Y (ord_max a a_1 Y)) True)
% 132.40/132.77 Clause #199 (by clausification #[198]): ∀ (a : Type) (a_1 a_2 : a), Or (Eq (linorder a) False) (Eq (ord_less_eq a a_1 (ord_max a a_2 a_1)) True)
% 132.40/132.77 Clause #201 (by superposition #[199, 103]): ∀ (a a_1 : nat), Or (Eq (ord_less_eq nat a (ord_max nat a_1 a)) True) (Eq False True)
% 132.89/133.03 Clause #237 (by clausification #[38]): ∀ (a : nat), Eq (∀ (M : nat), ord_less_eq nat M a → ord_less_eq nat a M → Eq M a) True
% 132.89/133.03 Clause #238 (by clausification #[237]): ∀ (a a_1 : nat), Eq (ord_less_eq nat a a_1 → ord_less_eq nat a_1 a → Eq a a_1) True
% 132.89/133.03 Clause #239 (by clausification #[238]): ∀ (a a_1 : nat), Or (Eq (ord_less_eq nat a a_1) False) (Eq (ord_less_eq nat a_1 a → Eq a a_1) True)
% 132.89/133.03 Clause #240 (by clausification #[239]): ∀ (a a_1 : nat), Or (Eq (ord_less_eq nat a a_1) False) (Or (Eq (ord_less_eq nat a_1 a) False) (Eq (Eq a a_1) True))
% 132.89/133.03 Clause #241 (by clausification #[240]): ∀ (a a_1 : nat), Or (Eq (ord_less_eq nat a a_1) False) (Or (Eq (ord_less_eq nat a_1 a) False) (Eq a a_1))
% 132.89/133.03 Clause #242 (by superposition #[241, 133]): ∀ (a : Type) (a_1 : huffma1450048681e_tree a) (a_2 : a),
% 132.89/133.03 Or (Eq (ord_less_eq nat (huffma945805758height a a_1) (huffma410068972_depth a a_1 a_2)) False)
% 132.89/133.03 (Or (Eq (huffma410068972_depth a a_1 a_2) (huffma945805758height a a_1)) (Eq False True))
% 132.89/133.03 Clause #307 (by clausification #[201]): ∀ (a a_1 : nat), Eq (ord_less_eq nat a (ord_max nat a_1 a)) True
% 132.89/133.03 Clause #310 (by clausification #[173]): ∀ (a a_1 : nat), Eq (ord_less_eq nat a (ord_max nat a a_1)) True
% 132.89/133.03 Clause #2668 (by clausification #[116]): Eq (huffma410068972_depth a t_2 a1) (ord_max nat (huffma945805758height b t_1) (huffma945805758height a t_2))
% 132.89/133.03 Clause #2670 (by superposition #[2668, 307]): Eq (ord_less_eq nat (huffma945805758height a t_2) (huffma410068972_depth a t_2 a1)) True
% 132.89/133.03 Clause #2671 (by superposition #[2668, 310]): Eq (ord_less_eq nat (huffma945805758height b t_1) (huffma410068972_depth a t_2 a1)) True
% 132.89/133.03 Clause #4073 (by clausification #[242]): ∀ (a : Type) (a_1 : huffma1450048681e_tree a) (a_2 : a),
% 132.89/133.03 Or (Eq (ord_less_eq nat (huffma945805758height a a_1) (huffma410068972_depth a a_1 a_2)) False)
% 132.89/133.03 (Eq (huffma410068972_depth a a_1 a_2) (huffma945805758height a a_1))
% 132.89/133.03 Clause #42312 (by superposition #[2670, 4073]): Or (Eq (huffma410068972_depth a t_2 a1) (huffma945805758height a t_2)) (Eq False True)
% 132.89/133.03 Clause #42320 (by clausification #[42312]): Eq (huffma410068972_depth a t_2 a1) (huffma945805758height a t_2)
% 132.89/133.03 Clause #42323 (by backward demodulation #[42320, 2671]): Eq (ord_less_eq nat (huffma945805758height b t_1) (huffma945805758height a t_2)) True
% 132.89/133.03 Clause #42325 (by backward contextual literal cutting #[42320, 157]): Eq (ord_less_eq nat (huffma945805758height b t_1) (huffma945805758height a t_2)) False
% 132.89/133.03 Clause #42352 (by superposition #[42323, 42325]): Eq False True
% 132.89/133.03 Clause #42353 (by clausification #[42352]): False
% 132.89/133.03 SZS output end Proof for theBenchmark.p
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