TSTP Solution File: PUZ060+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : PUZ060+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n016.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 13:14:36 EDT 2023
% Result : Theorem 6.09s 6.31s
% Output : Proof 6.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : PUZ060+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.11 % Command : duper %s
% 0.11/0.32 % Computer : n016.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat Aug 26 23:03:57 EDT 2023
% 0.11/0.32 % CPUTime :
% 6.09/6.31 SZS status Theorem for theBenchmark.p
% 6.09/6.31 SZS output start Proof for theBenchmark.p
% 6.09/6.31 Clause #0 (by assumption #[]): Eq
% 6.09/6.31 (Not
% 6.09/6.31 (∀ (Peanuts John Bill Sue Apples Chicken : Iota),
% 6.09/6.31 And
% 6.09/6.31 (And
% 6.09/6.31 (And
% 6.09/6.31 (And
% 6.09/6.31 (And (And (And (∀ (X : Iota), food X → likes John X) (food Apples)) (food Chicken))
% 6.09/6.31 (∀ (X : Iota), (Exists fun Y => And (eats Y X) (not_killed_by Y X)) → food X))
% 6.09/6.31 (eats Bill Peanuts))
% 6.09/6.31 (alive Bill))
% 6.09/6.31 (∀ (X : Iota), eats Bill X → eats Sue X))
% 6.09/6.31 (∀ (Y : Iota), alive Y → ∀ (X : Iota), not_killed_by Y X) →
% 6.09/6.31 likes John Peanuts))
% 6.09/6.31 True
% 6.09/6.31 Clause #1 (by clausification #[0]): Eq
% 6.09/6.31 (∀ (Peanuts John Bill Sue Apples Chicken : Iota),
% 6.09/6.31 And
% 6.09/6.31 (And
% 6.09/6.31 (And
% 6.09/6.31 (And
% 6.09/6.31 (And (And (And (∀ (X : Iota), food X → likes John X) (food Apples)) (food Chicken))
% 6.09/6.31 (∀ (X : Iota), (Exists fun Y => And (eats Y X) (not_killed_by Y X)) → food X))
% 6.09/6.31 (eats Bill Peanuts))
% 6.09/6.31 (alive Bill))
% 6.09/6.31 (∀ (X : Iota), eats Bill X → eats Sue X))
% 6.09/6.31 (∀ (Y : Iota), alive Y → ∀ (X : Iota), not_killed_by Y X) →
% 6.09/6.31 likes John Peanuts)
% 6.09/6.31 False
% 6.09/6.31 Clause #2 (by clausification #[1]): ∀ (a : Iota),
% 6.09/6.31 Eq
% 6.09/6.31 (Not
% 6.09/6.31 (∀ (John Bill Sue Apples Chicken : Iota),
% 6.09/6.31 And
% 6.09/6.31 (And
% 6.09/6.31 (And
% 6.09/6.31 (And
% 6.09/6.31 (And (And (And (∀ (X : Iota), food X → likes John X) (food Apples)) (food Chicken))
% 6.09/6.31 (∀ (X : Iota), (Exists fun Y => And (eats Y X) (not_killed_by Y X)) → food X))
% 6.09/6.31 (eats Bill (skS.0 0 a)))
% 6.09/6.31 (alive Bill))
% 6.09/6.31 (∀ (X : Iota), eats Bill X → eats Sue X))
% 6.09/6.31 (∀ (Y : Iota), alive Y → ∀ (X : Iota), not_killed_by Y X) →
% 6.09/6.31 likes John (skS.0 0 a)))
% 6.09/6.31 True
% 6.09/6.31 Clause #3 (by clausification #[2]): ∀ (a : Iota),
% 6.09/6.31 Eq
% 6.09/6.31 (∀ (John Bill Sue Apples Chicken : Iota),
% 6.09/6.31 And
% 6.09/6.31 (And
% 6.09/6.31 (And
% 6.09/6.31 (And
% 6.09/6.31 (And (And (And (∀ (X : Iota), food X → likes John X) (food Apples)) (food Chicken))
% 6.09/6.31 (∀ (X : Iota), (Exists fun Y => And (eats Y X) (not_killed_by Y X)) → food X))
% 6.09/6.31 (eats Bill (skS.0 0 a)))
% 6.09/6.31 (alive Bill))
% 6.09/6.31 (∀ (X : Iota), eats Bill X → eats Sue X))
% 6.09/6.31 (∀ (Y : Iota), alive Y → ∀ (X : Iota), not_killed_by Y X) →
% 6.09/6.31 likes John (skS.0 0 a))
% 6.09/6.31 False
% 6.09/6.31 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota),
% 6.09/6.31 Eq
% 6.09/6.31 (Not
% 6.09/6.31 (∀ (Bill Sue Apples Chicken : Iota),
% 6.09/6.31 And
% 6.09/6.31 (And
% 6.09/6.31 (And
% 6.09/6.31 (And
% 6.09/6.31 (And (And (And (∀ (X : Iota), food X → likes (skS.0 1 a a_1) X) (food Apples)) (food Chicken))
% 6.09/6.31 (∀ (X : Iota), (Exists fun Y => And (eats Y X) (not_killed_by Y X)) → food X))
% 6.09/6.31 (eats Bill (skS.0 0 a)))
% 6.09/6.31 (alive Bill))
% 6.09/6.31 (∀ (X : Iota), eats Bill X → eats Sue X))
% 6.09/6.31 (∀ (Y : Iota), alive Y → ∀ (X : Iota), not_killed_by Y X) →
% 6.09/6.31 likes (skS.0 1 a a_1) (skS.0 0 a)))
% 6.09/6.31 True
% 6.09/6.31 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota),
% 6.09/6.31 Eq
% 6.09/6.31 (∀ (Bill Sue Apples Chicken : Iota),
% 6.09/6.31 And
% 6.09/6.31 (And
% 6.09/6.31 (And
% 6.09/6.31 (And
% 6.09/6.31 (And (And (And (∀ (X : Iota), food X → likes (skS.0 1 a a_1) X) (food Apples)) (food Chicken))
% 6.09/6.31 (∀ (X : Iota), (Exists fun Y => And (eats Y X) (not_killed_by Y X)) → food X))
% 6.09/6.31 (eats Bill (skS.0 0 a)))
% 6.09/6.31 (alive Bill))
% 6.09/6.31 (∀ (X : Iota), eats Bill X → eats Sue X))
% 6.09/6.31 (∀ (Y : Iota), alive Y → ∀ (X : Iota), not_killed_by Y X) →
% 6.09/6.31 likes (skS.0 1 a a_1) (skS.0 0 a))
% 6.09/6.31 False
% 6.09/6.31 Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 : Iota),
% 6.09/6.31 Eq
% 6.09/6.31 (Not
% 6.09/6.31 (∀ (Sue Apples Chicken : Iota),
% 6.09/6.31 And
% 6.09/6.31 (And
% 6.09/6.31 (And
% 6.09/6.31 (And
% 6.09/6.31 (And (And (And (∀ (X : Iota), food X → likes (skS.0 1 a a_1) X) (food Apples)) (food Chicken))
% 6.18/6.35 (∀ (X : Iota), (Exists fun Y => And (eats Y X) (not_killed_by Y X)) → food X))
% 6.18/6.35 (eats (skS.0 2 a a_1 a_2) (skS.0 0 a)))
% 6.18/6.35 (alive (skS.0 2 a a_1 a_2)))
% 6.18/6.35 (∀ (X : Iota), eats (skS.0 2 a a_1 a_2) X → eats Sue X))
% 6.18/6.35 (∀ (Y : Iota), alive Y → ∀ (X : Iota), not_killed_by Y X) →
% 6.18/6.35 likes (skS.0 1 a a_1) (skS.0 0 a)))
% 6.18/6.35 True
% 6.18/6.35 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 : Iota),
% 6.18/6.35 Eq
% 6.18/6.35 (∀ (Sue Apples Chicken : Iota),
% 6.18/6.35 And
% 6.18/6.35 (And
% 6.18/6.35 (And
% 6.18/6.35 (And
% 6.18/6.35 (And (And (And (∀ (X : Iota), food X → likes (skS.0 1 a a_1) X) (food Apples)) (food Chicken))
% 6.18/6.35 (∀ (X : Iota), (Exists fun Y => And (eats Y X) (not_killed_by Y X)) → food X))
% 6.18/6.35 (eats (skS.0 2 a a_1 a_2) (skS.0 0 a)))
% 6.18/6.35 (alive (skS.0 2 a a_1 a_2)))
% 6.18/6.35 (∀ (X : Iota), eats (skS.0 2 a a_1 a_2) X → eats Sue X))
% 6.18/6.35 (∀ (Y : Iota), alive Y → ∀ (X : Iota), not_killed_by Y X) →
% 6.18/6.35 likes (skS.0 1 a a_1) (skS.0 0 a))
% 6.18/6.35 False
% 6.18/6.35 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.18/6.35 Eq
% 6.18/6.35 (Not
% 6.18/6.35 (∀ (Apples Chicken : Iota),
% 6.18/6.35 And
% 6.18/6.35 (And
% 6.18/6.35 (And
% 6.18/6.35 (And
% 6.18/6.35 (And (And (And (∀ (X : Iota), food X → likes (skS.0 1 a a_1) X) (food Apples)) (food Chicken))
% 6.18/6.35 (∀ (X : Iota), (Exists fun Y => And (eats Y X) (not_killed_by Y X)) → food X))
% 6.18/6.35 (eats (skS.0 2 a a_1 a_2) (skS.0 0 a)))
% 6.18/6.35 (alive (skS.0 2 a a_1 a_2)))
% 6.18/6.35 (∀ (X : Iota), eats (skS.0 2 a a_1 a_2) X → eats (skS.0 3 a a_1 a_2 a_3) X))
% 6.18/6.35 (∀ (Y : Iota), alive Y → ∀ (X : Iota), not_killed_by Y X) →
% 6.18/6.35 likes (skS.0 1 a a_1) (skS.0 0 a)))
% 6.18/6.35 True
% 6.18/6.35 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.18/6.35 Eq
% 6.18/6.35 (∀ (Apples Chicken : Iota),
% 6.18/6.35 And
% 6.18/6.35 (And
% 6.18/6.35 (And
% 6.18/6.35 (And
% 6.18/6.35 (And (And (And (∀ (X : Iota), food X → likes (skS.0 1 a a_1) X) (food Apples)) (food Chicken))
% 6.18/6.35 (∀ (X : Iota), (Exists fun Y => And (eats Y X) (not_killed_by Y X)) → food X))
% 6.18/6.35 (eats (skS.0 2 a a_1 a_2) (skS.0 0 a)))
% 6.18/6.35 (alive (skS.0 2 a a_1 a_2)))
% 6.18/6.35 (∀ (X : Iota), eats (skS.0 2 a a_1 a_2) X → eats (skS.0 3 a a_1 a_2 a_3) X))
% 6.18/6.35 (∀ (Y : Iota), alive Y → ∀ (X : Iota), not_killed_by Y X) →
% 6.18/6.35 likes (skS.0 1 a a_1) (skS.0 0 a))
% 6.18/6.35 False
% 6.18/6.35 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 6.18/6.35 Eq
% 6.18/6.35 (Not
% 6.18/6.35 (∀ (Chicken : Iota),
% 6.18/6.35 And
% 6.18/6.35 (And
% 6.18/6.35 (And
% 6.18/6.35 (And
% 6.18/6.35 (And
% 6.18/6.35 (And (And (∀ (X : Iota), food X → likes (skS.0 1 a a_1) X) (food (skS.0 4 a a_1 a_2 a_3 a_4)))
% 6.18/6.35 (food Chicken))
% 6.18/6.35 (∀ (X : Iota), (Exists fun Y => And (eats Y X) (not_killed_by Y X)) → food X))
% 6.18/6.35 (eats (skS.0 2 a a_1 a_2) (skS.0 0 a)))
% 6.18/6.35 (alive (skS.0 2 a a_1 a_2)))
% 6.18/6.35 (∀ (X : Iota), eats (skS.0 2 a a_1 a_2) X → eats (skS.0 3 a a_1 a_2 a_3) X))
% 6.18/6.35 (∀ (Y : Iota), alive Y → ∀ (X : Iota), not_killed_by Y X) →
% 6.18/6.35 likes (skS.0 1 a a_1) (skS.0 0 a)))
% 6.18/6.35 True
% 6.18/6.35 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 6.18/6.35 Eq
% 6.18/6.35 (∀ (Chicken : Iota),
% 6.18/6.35 And
% 6.18/6.35 (And
% 6.18/6.35 (And
% 6.18/6.35 (And
% 6.18/6.35 (And
% 6.18/6.35 (And (And (∀ (X : Iota), food X → likes (skS.0 1 a a_1) X) (food (skS.0 4 a a_1 a_2 a_3 a_4)))
% 6.18/6.35 (food Chicken))
% 6.18/6.35 (∀ (X : Iota), (Exists fun Y => And (eats Y X) (not_killed_by Y X)) → food X))
% 6.18/6.35 (eats (skS.0 2 a a_1 a_2) (skS.0 0 a)))
% 6.18/6.35 (alive (skS.0 2 a a_1 a_2)))
% 6.18/6.35 (∀ (X : Iota), eats (skS.0 2 a a_1 a_2) X → eats (skS.0 3 a a_1 a_2 a_3) X))
% 6.18/6.35 (∀ (Y : Iota), alive Y → ∀ (X : Iota), not_killed_by Y X) →
% 6.18/6.35 likes (skS.0 1 a a_1) (skS.0 0 a))
% 6.23/6.41 False
% 6.23/6.41 Clause #12 (by clausification #[11]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 6.23/6.41 Eq
% 6.23/6.41 (Not
% 6.23/6.41 (And
% 6.23/6.41 (And
% 6.23/6.41 (And
% 6.23/6.41 (And
% 6.23/6.41 (And
% 6.23/6.41 (And (And (∀ (X : Iota), food X → likes (skS.0 1 a a_1) X) (food (skS.0 4 a a_1 a_2 a_3 a_4)))
% 6.23/6.41 (food (skS.0 5 a a_1 a_2 a_3 a_4 a_5)))
% 6.23/6.41 (∀ (X : Iota), (Exists fun Y => And (eats Y X) (not_killed_by Y X)) → food X))
% 6.23/6.41 (eats (skS.0 2 a a_1 a_2) (skS.0 0 a)))
% 6.23/6.41 (alive (skS.0 2 a a_1 a_2)))
% 6.23/6.41 (∀ (X : Iota), eats (skS.0 2 a a_1 a_2) X → eats (skS.0 3 a a_1 a_2 a_3) X))
% 6.23/6.41 (∀ (Y : Iota), alive Y → ∀ (X : Iota), not_killed_by Y X) →
% 6.23/6.41 likes (skS.0 1 a a_1) (skS.0 0 a)))
% 6.23/6.41 True
% 6.23/6.41 Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 6.23/6.41 Eq
% 6.23/6.41 (And
% 6.23/6.41 (And
% 6.23/6.41 (And
% 6.23/6.41 (And
% 6.23/6.41 (And
% 6.23/6.41 (And (And (∀ (X : Iota), food X → likes (skS.0 1 a a_1) X) (food (skS.0 4 a a_1 a_2 a_3 a_4)))
% 6.23/6.41 (food (skS.0 5 a a_1 a_2 a_3 a_4 a_5)))
% 6.23/6.41 (∀ (X : Iota), (Exists fun Y => And (eats Y X) (not_killed_by Y X)) → food X))
% 6.23/6.41 (eats (skS.0 2 a a_1 a_2) (skS.0 0 a)))
% 6.23/6.41 (alive (skS.0 2 a a_1 a_2)))
% 6.23/6.41 (∀ (X : Iota), eats (skS.0 2 a a_1 a_2) X → eats (skS.0 3 a a_1 a_2 a_3) X))
% 6.23/6.41 (∀ (Y : Iota), alive Y → ∀ (X : Iota), not_killed_by Y X) →
% 6.23/6.41 likes (skS.0 1 a a_1) (skS.0 0 a))
% 6.23/6.41 False
% 6.23/6.41 Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 6.23/6.41 Eq
% 6.23/6.41 (And
% 6.23/6.41 (And
% 6.23/6.41 (And
% 6.23/6.41 (And
% 6.23/6.41 (And
% 6.23/6.41 (And (And (∀ (X : Iota), food X → likes (skS.0 1 a a_1) X) (food (skS.0 4 a a_1 a_2 a_3 a_4)))
% 6.23/6.41 (food (skS.0 5 a a_1 a_2 a_3 a_4 a_5)))
% 6.23/6.41 (∀ (X : Iota), (Exists fun Y => And (eats Y X) (not_killed_by Y X)) → food X))
% 6.23/6.41 (eats (skS.0 2 a a_1 a_2) (skS.0 0 a)))
% 6.23/6.41 (alive (skS.0 2 a a_1 a_2)))
% 6.23/6.41 (∀ (X : Iota), eats (skS.0 2 a a_1 a_2) X → eats (skS.0 3 a a_1 a_2 a_3) X))
% 6.23/6.41 (∀ (Y : Iota), alive Y → ∀ (X : Iota), not_killed_by Y X))
% 6.23/6.41 True
% 6.23/6.41 Clause #15 (by clausification #[13]): ∀ (a a_1 : Iota), Eq (likes (skS.0 1 a a_1) (skS.0 0 a)) False
% 6.23/6.41 Clause #16 (by clausification #[14]): Eq (∀ (Y : Iota), alive Y → ∀ (X : Iota), not_killed_by Y X) True
% 6.23/6.41 Clause #17 (by clausification #[14]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 6.23/6.41 Eq
% 6.23/6.41 (And
% 6.23/6.41 (And
% 6.23/6.41 (And
% 6.23/6.41 (And
% 6.23/6.41 (And (And (∀ (X : Iota), food X → likes (skS.0 1 a a_1) X) (food (skS.0 4 a a_1 a_2 a_3 a_4)))
% 6.23/6.41 (food (skS.0 5 a a_1 a_2 a_3 a_4 a_5)))
% 6.23/6.41 (∀ (X : Iota), (Exists fun Y => And (eats Y X) (not_killed_by Y X)) → food X))
% 6.23/6.41 (eats (skS.0 2 a a_1 a_2) (skS.0 0 a)))
% 6.23/6.41 (alive (skS.0 2 a a_1 a_2)))
% 6.23/6.41 (∀ (X : Iota), eats (skS.0 2 a a_1 a_2) X → eats (skS.0 3 a a_1 a_2 a_3) X))
% 6.23/6.41 True
% 6.23/6.41 Clause #18 (by clausification #[16]): ∀ (a : Iota), Eq (alive a → ∀ (X : Iota), not_killed_by a X) True
% 6.23/6.41 Clause #19 (by clausification #[18]): ∀ (a : Iota), Or (Eq (alive a) False) (Eq (∀ (X : Iota), not_killed_by a X) True)
% 6.23/6.41 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), Or (Eq (alive a) False) (Eq (not_killed_by a a_1) True)
% 6.23/6.41 Clause #22 (by clausification #[17]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 6.23/6.41 Eq
% 6.23/6.41 (And
% 6.23/6.41 (And
% 6.23/6.41 (And
% 6.23/6.41 (And (And (∀ (X : Iota), food X → likes (skS.0 1 a a_1) X) (food (skS.0 4 a a_1 a_2 a_3 a_4)))
% 6.23/6.41 (food (skS.0 5 a a_1 a_2 a_3 a_4 a_5)))
% 6.23/6.41 (∀ (X : Iota), (Exists fun Y => And (eats Y X) (not_killed_by Y X)) → food X))
% 6.23/6.41 (eats (skS.0 2 a a_1 a_2) (skS.0 0 a)))
% 6.23/6.41 (alive (skS.0 2 a a_1 a_2)))
% 6.23/6.41 True
% 6.23/6.41 Clause #25 (by clausification #[22]): ∀ (a a_1 a_2 : Iota), Eq (alive (skS.0 2 a a_1 a_2)) True
% 6.23/6.41 Clause #26 (by clausification #[22]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 6.23/6.41 Eq
% 6.23/6.41 (And
% 6.23/6.41 (And
% 6.23/6.41 (And (And (∀ (X : Iota), food X → likes (skS.0 1 a a_1) X) (food (skS.0 4 a a_1 a_2 a_3 a_4)))
% 6.23/6.44 (food (skS.0 5 a a_1 a_2 a_3 a_4 a_5)))
% 6.23/6.44 (∀ (X : Iota), (Exists fun Y => And (eats Y X) (not_killed_by Y X)) → food X))
% 6.23/6.44 (eats (skS.0 2 a a_1 a_2) (skS.0 0 a)))
% 6.23/6.44 True
% 6.23/6.44 Clause #27 (by superposition #[25, 20]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (not_killed_by (skS.0 2 a a_1 a_2) a_3) True)
% 6.23/6.44 Clause #28 (by clausification #[27]): ∀ (a a_1 a_2 a_3 : Iota), Eq (not_killed_by (skS.0 2 a a_1 a_2) a_3) True
% 6.23/6.44 Clause #29 (by clausification #[26]): ∀ (a a_1 a_2 : Iota), Eq (eats (skS.0 2 a a_1 a_2) (skS.0 0 a)) True
% 6.23/6.44 Clause #30 (by clausification #[26]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 6.23/6.44 Eq
% 6.23/6.44 (And
% 6.23/6.44 (And (And (∀ (X : Iota), food X → likes (skS.0 1 a a_1) X) (food (skS.0 4 a a_1 a_2 a_3 a_4)))
% 6.23/6.44 (food (skS.0 5 a a_1 a_2 a_3 a_4 a_5)))
% 6.23/6.44 (∀ (X : Iota), (Exists fun Y => And (eats Y X) (not_killed_by Y X)) → food X))
% 6.23/6.44 True
% 6.23/6.44 Clause #33 (by clausification #[30]): Eq (∀ (X : Iota), (Exists fun Y => And (eats Y X) (not_killed_by Y X)) → food X) True
% 6.23/6.44 Clause #34 (by clausification #[30]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 6.23/6.44 Eq
% 6.23/6.44 (And (And (∀ (X : Iota), food X → likes (skS.0 1 a a_1) X) (food (skS.0 4 a a_1 a_2 a_3 a_4)))
% 6.23/6.44 (food (skS.0 5 a a_1 a_2 a_3 a_4 a_5)))
% 6.23/6.44 True
% 6.23/6.44 Clause #35 (by clausification #[33]): ∀ (a : Iota), Eq ((Exists fun Y => And (eats Y a) (not_killed_by Y a)) → food a) True
% 6.23/6.44 Clause #36 (by clausification #[35]): ∀ (a : Iota), Or (Eq (Exists fun Y => And (eats Y a) (not_killed_by Y a)) False) (Eq (food a) True)
% 6.23/6.44 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota), Or (Eq (food a) True) (Eq (And (eats a_1 a) (not_killed_by a_1 a)) False)
% 6.23/6.44 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota), Or (Eq (food a) True) (Or (Eq (eats a_1 a) False) (Eq (not_killed_by a_1 a) False))
% 6.23/6.44 Clause #39 (by superposition #[38, 29]): ∀ (a a_1 a_2 : Iota),
% 6.23/6.44 Or (Eq (food (skS.0 0 a)) True) (Or (Eq (not_killed_by (skS.0 2 a a_1 a_2) (skS.0 0 a)) False) (Eq False True))
% 6.23/6.44 Clause #41 (by clausification #[39]): ∀ (a a_1 a_2 : Iota), Or (Eq (food (skS.0 0 a)) True) (Eq (not_killed_by (skS.0 2 a a_1 a_2) (skS.0 0 a)) False)
% 6.23/6.44 Clause #42 (by superposition #[41, 28]): ∀ (a : Iota), Or (Eq (food (skS.0 0 a)) True) (Eq False True)
% 6.23/6.44 Clause #43 (by clausification #[42]): ∀ (a : Iota), Eq (food (skS.0 0 a)) True
% 6.23/6.44 Clause #46 (by clausification #[34]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 6.23/6.44 Eq (And (∀ (X : Iota), food X → likes (skS.0 1 a a_1) X) (food (skS.0 4 a a_1 a_2 a_3 a_4))) True
% 6.23/6.44 Clause #48 (by clausification #[46]): ∀ (a a_1 : Iota), Eq (∀ (X : Iota), food X → likes (skS.0 1 a a_1) X) True
% 6.23/6.44 Clause #49 (by clausification #[48]): ∀ (a a_1 a_2 : Iota), Eq (food a → likes (skS.0 1 a_1 a_2) a) True
% 6.23/6.44 Clause #50 (by clausification #[49]): ∀ (a a_1 a_2 : Iota), Or (Eq (food a) False) (Eq (likes (skS.0 1 a_1 a_2) a) True)
% 6.23/6.44 Clause #51 (by superposition #[50, 43]): ∀ (a a_1 a_2 : Iota), Or (Eq (likes (skS.0 1 a a_1) (skS.0 0 a_2)) True) (Eq False True)
% 6.23/6.44 Clause #54 (by clausification #[51]): ∀ (a a_1 a_2 : Iota), Eq (likes (skS.0 1 a a_1) (skS.0 0 a_2)) True
% 6.23/6.44 Clause #55 (by superposition #[54, 15]): Eq True False
% 6.23/6.44 Clause #56 (by clausification #[55]): False
% 6.23/6.44 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------