TSTP Solution File: PUZ031+2 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : PUZ031+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n001.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 13:14:28 EDT 2023
% Result : Theorem 6.16s 6.47s
% Output : Proof 6.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ031+2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : duper %s
% 0.13/0.34 % Computer : n001.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 : Sat Aug 26 22:45:46 EDT 2023
% 0.13/0.34 % CPUTime :
% 6.16/6.47 SZS status Theorem for theBenchmark.p
% 6.16/6.47 SZS output start Proof for theBenchmark.p
% 6.16/6.47 Clause #0 (by assumption #[]): Eq (Exists fun A => wolf A) True
% 6.16/6.47 Clause #1 (by assumption #[]): Eq (Exists fun A => fox A) True
% 6.16/6.47 Clause #2 (by assumption #[]): Eq (Exists fun A => bird A) True
% 6.16/6.47 Clause #4 (by assumption #[]): Eq (Exists fun A => snail A) True
% 6.16/6.47 Clause #5 (by assumption #[]): Eq (∀ (X : Iota), wolf X → animal X) True
% 6.16/6.47 Clause #6 (by assumption #[]): Eq (∀ (X : Iota), fox X → animal X) True
% 6.16/6.47 Clause #7 (by assumption #[]): Eq (∀ (X : Iota), bird X → animal X) True
% 6.16/6.47 Clause #9 (by assumption #[]): Eq (∀ (X : Iota), snail X → animal X) True
% 6.16/6.47 Clause #10 (by assumption #[]): Eq (Exists fun A => grain A) True
% 6.16/6.47 Clause #11 (by assumption #[]): Eq (∀ (X : Iota), grain X → plant X) True
% 6.16/6.47 Clause #12 (by assumption #[]): Eq
% 6.16/6.47 (∀ (X : Iota),
% 6.16/6.47 animal X →
% 6.16/6.47 Or (∀ (Y : Iota), plant Y → eats X Y)
% 6.16/6.47 (∀ (Y1 : Iota),
% 6.16/6.47 And (And (animal Y1) (much_smaller Y1 X)) (Exists fun Z => And (plant Z) (eats Y1 Z)) → eats X Y1))
% 6.16/6.47 True
% 6.16/6.47 Clause #13 (by assumption #[]): Eq (∀ (Y X : Iota), And (bird Y) (snail X) → much_smaller X Y) True
% 6.16/6.47 Clause #15 (by assumption #[]): Eq (∀ (X Y : Iota), And (bird X) (fox Y) → much_smaller X Y) True
% 6.16/6.47 Clause #16 (by assumption #[]): Eq (∀ (X Y : Iota), And (fox X) (wolf Y) → much_smaller X Y) True
% 6.16/6.47 Clause #17 (by assumption #[]): Eq (∀ (X Y : Iota), And (wolf X) (fox Y) → Not (eats X Y)) True
% 6.16/6.47 Clause #18 (by assumption #[]): Eq (∀ (X Y : Iota), And (wolf X) (grain Y) → Not (eats X Y)) True
% 6.16/6.47 Clause #20 (by assumption #[]): Eq (∀ (X Y : Iota), And (bird X) (snail Y) → Not (eats X Y)) True
% 6.16/6.47 Clause #22 (by assumption #[]): Eq (∀ (X : Iota), snail X → Exists fun Y => And (plant Y) (eats X Y)) True
% 6.16/6.47 Clause #23 (by assumption #[]): Eq
% 6.16/6.47 (Not
% 6.16/6.47 (Exists fun X =>
% 6.16/6.47 Exists fun Y => And (And (animal X) (animal Y)) (Exists fun Z => And (And (grain Z) (eats Y Z)) (eats X Y))))
% 6.16/6.47 True
% 6.16/6.47 Clause #24 (by clausification #[11]): ∀ (a : Iota), Eq (grain a → plant a) True
% 6.16/6.47 Clause #25 (by clausification #[24]): ∀ (a : Iota), Or (Eq (grain a) False) (Eq (plant a) True)
% 6.16/6.47 Clause #26 (by clausification #[9]): ∀ (a : Iota), Eq (snail a → animal a) True
% 6.16/6.47 Clause #27 (by clausification #[26]): ∀ (a : Iota), Or (Eq (snail a) False) (Eq (animal a) True)
% 6.16/6.47 Clause #30 (by clausification #[7]): ∀ (a : Iota), Eq (bird a → animal a) True
% 6.16/6.47 Clause #31 (by clausification #[30]): ∀ (a : Iota), Or (Eq (bird a) False) (Eq (animal a) True)
% 6.16/6.47 Clause #32 (by clausification #[5]): ∀ (a : Iota), Eq (wolf a → animal a) True
% 6.16/6.47 Clause #33 (by clausification #[32]): ∀ (a : Iota), Or (Eq (wolf a) False) (Eq (animal a) True)
% 6.16/6.47 Clause #34 (by betaEtaReduce #[0]): Eq (Exists wolf) True
% 6.16/6.47 Clause #35 (by clausification #[34]): ∀ (a : Iota), Eq (wolf (skS.0 0 a)) True
% 6.16/6.47 Clause #36 (by superposition #[35, 33]): ∀ (a : Iota), Or (Eq True False) (Eq (animal (skS.0 0 a)) True)
% 6.16/6.47 Clause #37 (by clausification #[6]): ∀ (a : Iota), Eq (fox a → animal a) True
% 6.16/6.47 Clause #38 (by clausification #[37]): ∀ (a : Iota), Or (Eq (fox a) False) (Eq (animal a) True)
% 6.16/6.47 Clause #39 (by betaEtaReduce #[10]): Eq (Exists grain) True
% 6.16/6.47 Clause #40 (by clausification #[39]): ∀ (a : Iota), Eq (grain (skS.0 1 a)) True
% 6.16/6.47 Clause #41 (by superposition #[40, 25]): ∀ (a : Iota), Or (Eq True False) (Eq (plant (skS.0 1 a)) True)
% 6.16/6.47 Clause #42 (by betaEtaReduce #[4]): Eq (Exists snail) True
% 6.16/6.47 Clause #43 (by clausification #[42]): ∀ (a : Iota), Eq (snail (skS.0 2 a)) True
% 6.16/6.47 Clause #44 (by superposition #[43, 27]): ∀ (a : Iota), Or (Eq True False) (Eq (animal (skS.0 2 a)) True)
% 6.16/6.47 Clause #48 (by betaEtaReduce #[2]): Eq (Exists bird) True
% 6.16/6.47 Clause #49 (by clausification #[48]): ∀ (a : Iota), Eq (bird (skS.0 4 a)) True
% 6.16/6.47 Clause #50 (by superposition #[49, 31]): ∀ (a : Iota), Or (Eq True False) (Eq (animal (skS.0 4 a)) True)
% 6.16/6.47 Clause #51 (by betaEtaReduce #[1]): Eq (Exists fox) True
% 6.16/6.47 Clause #52 (by clausification #[51]): ∀ (a : Iota), Eq (fox (skS.0 5 a)) True
% 6.16/6.47 Clause #53 (by superposition #[52, 38]): ∀ (a : Iota), Or (Eq True False) (Eq (animal (skS.0 5 a)) True)
% 6.16/6.50 Clause #59 (by clausification #[15]): ∀ (a : Iota), Eq (∀ (Y : Iota), And (bird a) (fox Y) → much_smaller a Y) True
% 6.16/6.50 Clause #60 (by clausification #[59]): ∀ (a a_1 : Iota), Eq (And (bird a) (fox a_1) → much_smaller a a_1) True
% 6.16/6.50 Clause #61 (by clausification #[60]): ∀ (a a_1 : Iota), Or (Eq (And (bird a) (fox a_1)) False) (Eq (much_smaller a a_1) True)
% 6.16/6.50 Clause #62 (by clausification #[61]): ∀ (a a_1 : Iota), Or (Eq (much_smaller a a_1) True) (Or (Eq (bird a) False) (Eq (fox a_1) False))
% 6.16/6.50 Clause #63 (by superposition #[62, 49]): ∀ (a a_1 : Iota), Or (Eq (much_smaller (skS.0 4 a) a_1) True) (Or (Eq (fox a_1) False) (Eq False True))
% 6.16/6.50 Clause #69 (by clausification #[16]): ∀ (a : Iota), Eq (∀ (Y : Iota), And (fox a) (wolf Y) → much_smaller a Y) True
% 6.16/6.50 Clause #70 (by clausification #[69]): ∀ (a a_1 : Iota), Eq (And (fox a) (wolf a_1) → much_smaller a a_1) True
% 6.16/6.50 Clause #71 (by clausification #[70]): ∀ (a a_1 : Iota), Or (Eq (And (fox a) (wolf a_1)) False) (Eq (much_smaller a a_1) True)
% 6.16/6.50 Clause #72 (by clausification #[71]): ∀ (a a_1 : Iota), Or (Eq (much_smaller a a_1) True) (Or (Eq (fox a) False) (Eq (wolf a_1) False))
% 6.16/6.50 Clause #73 (by superposition #[72, 52]): ∀ (a a_1 : Iota), Or (Eq (much_smaller (skS.0 5 a) a_1) True) (Or (Eq (wolf a_1) False) (Eq False True))
% 6.16/6.50 Clause #74 (by clausification #[13]): ∀ (a : Iota), Eq (∀ (X : Iota), And (bird a) (snail X) → much_smaller X a) True
% 6.16/6.50 Clause #75 (by clausification #[74]): ∀ (a a_1 : Iota), Eq (And (bird a) (snail a_1) → much_smaller a_1 a) True
% 6.16/6.50 Clause #76 (by clausification #[75]): ∀ (a a_1 : Iota), Or (Eq (And (bird a) (snail a_1)) False) (Eq (much_smaller a_1 a) True)
% 6.16/6.50 Clause #77 (by clausification #[76]): ∀ (a a_1 : Iota), Or (Eq (much_smaller a a_1) True) (Or (Eq (bird a_1) False) (Eq (snail a) False))
% 6.16/6.50 Clause #78 (by superposition #[77, 49]): ∀ (a a_1 : Iota), Or (Eq (much_smaller a (skS.0 4 a_1)) True) (Or (Eq (snail a) False) (Eq False True))
% 6.16/6.50 Clause #79 (by clausification #[12]): ∀ (a : Iota),
% 6.16/6.50 Eq
% 6.16/6.50 (animal a →
% 6.16/6.50 Or (∀ (Y : Iota), plant Y → eats a Y)
% 6.16/6.50 (∀ (Y1 : Iota),
% 6.16/6.50 And (And (animal Y1) (much_smaller Y1 a)) (Exists fun Z => And (plant Z) (eats Y1 Z)) → eats a Y1))
% 6.16/6.50 True
% 6.16/6.50 Clause #80 (by clausification #[79]): ∀ (a : Iota),
% 6.16/6.50 Or (Eq (animal a) False)
% 6.16/6.50 (Eq
% 6.16/6.50 (Or (∀ (Y : Iota), plant Y → eats a Y)
% 6.16/6.50 (∀ (Y1 : Iota),
% 6.16/6.50 And (And (animal Y1) (much_smaller Y1 a)) (Exists fun Z => And (plant Z) (eats Y1 Z)) → eats a Y1))
% 6.16/6.50 True)
% 6.16/6.50 Clause #81 (by clausification #[80]): ∀ (a : Iota),
% 6.16/6.50 Or (Eq (animal a) False)
% 6.16/6.50 (Or (Eq (∀ (Y : Iota), plant Y → eats a Y) True)
% 6.16/6.50 (Eq
% 6.16/6.50 (∀ (Y1 : Iota),
% 6.16/6.50 And (And (animal Y1) (much_smaller Y1 a)) (Exists fun Z => And (plant Z) (eats Y1 Z)) → eats a Y1)
% 6.16/6.50 True))
% 6.16/6.50 Clause #82 (by clausification #[81]): ∀ (a a_1 : Iota),
% 6.16/6.50 Or (Eq (animal a) False)
% 6.16/6.50 (Or
% 6.16/6.50 (Eq
% 6.16/6.50 (∀ (Y1 : Iota),
% 6.16/6.50 And (And (animal Y1) (much_smaller Y1 a)) (Exists fun Z => And (plant Z) (eats Y1 Z)) → eats a Y1)
% 6.16/6.50 True)
% 6.16/6.50 (Eq (plant a_1 → eats a a_1) True))
% 6.16/6.50 Clause #83 (by clausification #[82]): ∀ (a a_1 a_2 : Iota),
% 6.16/6.50 Or (Eq (animal a) False)
% 6.16/6.50 (Or (Eq (plant a_1 → eats a a_1) True)
% 6.16/6.50 (Eq (And (And (animal a_2) (much_smaller a_2 a)) (Exists fun Z => And (plant Z) (eats a_2 Z)) → eats a a_2) True))
% 6.16/6.50 Clause #84 (by clausification #[83]): ∀ (a a_1 a_2 : Iota),
% 6.16/6.50 Or (Eq (animal a) False)
% 6.16/6.50 (Or
% 6.16/6.50 (Eq (And (And (animal a_1) (much_smaller a_1 a)) (Exists fun Z => And (plant Z) (eats a_1 Z)) → eats a a_1) True)
% 6.16/6.50 (Or (Eq (plant a_2) False) (Eq (eats a a_2) True)))
% 6.16/6.50 Clause #85 (by clausification #[84]): ∀ (a a_1 a_2 : Iota),
% 6.16/6.50 Or (Eq (animal a) False)
% 6.16/6.50 (Or (Eq (plant a_1) False)
% 6.16/6.50 (Or (Eq (eats a a_1) True)
% 6.16/6.50 (Or (Eq (And (And (animal a_2) (much_smaller a_2 a)) (Exists fun Z => And (plant Z) (eats a_2 Z))) False)
% 6.16/6.50 (Eq (eats a a_2) True))))
% 6.16/6.50 Clause #86 (by clausification #[85]): ∀ (a a_1 a_2 : Iota),
% 6.16/6.50 Or (Eq (animal a) False)
% 6.16/6.50 (Or (Eq (plant a_1) False)
% 6.16/6.50 (Or (Eq (eats a a_1) True)
% 6.16/6.53 (Or (Eq (eats a a_2) True)
% 6.16/6.53 (Or (Eq (And (animal a_2) (much_smaller a_2 a)) False)
% 6.16/6.53 (Eq (Exists fun Z => And (plant Z) (eats a_2 Z)) False)))))
% 6.16/6.53 Clause #87 (by clausification #[86]): ∀ (a a_1 a_2 : Iota),
% 6.16/6.53 Or (Eq (animal a) False)
% 6.16/6.53 (Or (Eq (plant a_1) False)
% 6.16/6.53 (Or (Eq (eats a a_1) True)
% 6.16/6.53 (Or (Eq (eats a a_2) True)
% 6.16/6.53 (Or (Eq (Exists fun Z => And (plant Z) (eats a_2 Z)) False)
% 6.16/6.53 (Or (Eq (animal a_2) False) (Eq (much_smaller a_2 a) False))))))
% 6.16/6.53 Clause #88 (by clausification #[87]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.16/6.53 Or (Eq (animal a) False)
% 6.16/6.53 (Or (Eq (plant a_1) False)
% 6.16/6.53 (Or (Eq (eats a a_1) True)
% 6.16/6.53 (Or (Eq (eats a a_2) True)
% 6.16/6.53 (Or (Eq (animal a_2) False)
% 6.16/6.53 (Or (Eq (much_smaller a_2 a) False) (Eq (And (plant a_3) (eats a_2 a_3)) False))))))
% 6.16/6.53 Clause #89 (by clausification #[88]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.16/6.53 Or (Eq (animal a) False)
% 6.16/6.53 (Or (Eq (plant a_1) False)
% 6.16/6.53 (Or (Eq (eats a a_1) True)
% 6.16/6.53 (Or (Eq (eats a a_2) True)
% 6.16/6.53 (Or (Eq (animal a_2) False)
% 6.16/6.53 (Or (Eq (much_smaller a_2 a) False) (Or (Eq (plant a_3) False) (Eq (eats a_2 a_3) False)))))))
% 6.16/6.53 Clause #90 (by clausification #[20]): ∀ (a : Iota), Eq (∀ (Y : Iota), And (bird a) (snail Y) → Not (eats a Y)) True
% 6.16/6.53 Clause #91 (by clausification #[90]): ∀ (a a_1 : Iota), Eq (And (bird a) (snail a_1) → Not (eats a a_1)) True
% 6.16/6.53 Clause #92 (by clausification #[91]): ∀ (a a_1 : Iota), Or (Eq (And (bird a) (snail a_1)) False) (Eq (Not (eats a a_1)) True)
% 6.16/6.53 Clause #93 (by clausification #[92]): ∀ (a a_1 : Iota), Or (Eq (Not (eats a a_1)) True) (Or (Eq (bird a) False) (Eq (snail a_1) False))
% 6.16/6.53 Clause #94 (by clausification #[93]): ∀ (a a_1 : Iota), Or (Eq (bird a) False) (Or (Eq (snail a_1) False) (Eq (eats a a_1) False))
% 6.16/6.53 Clause #95 (by superposition #[94, 49]): ∀ (a a_1 : Iota), Or (Eq (snail a) False) (Or (Eq (eats (skS.0 4 a_1) a) False) (Eq False True))
% 6.16/6.53 Clause #96 (by clausification #[18]): ∀ (a : Iota), Eq (∀ (Y : Iota), And (wolf a) (grain Y) → Not (eats a Y)) True
% 6.16/6.53 Clause #97 (by clausification #[96]): ∀ (a a_1 : Iota), Eq (And (wolf a) (grain a_1) → Not (eats a a_1)) True
% 6.16/6.53 Clause #98 (by clausification #[97]): ∀ (a a_1 : Iota), Or (Eq (And (wolf a) (grain a_1)) False) (Eq (Not (eats a a_1)) True)
% 6.16/6.53 Clause #99 (by clausification #[98]): ∀ (a a_1 : Iota), Or (Eq (Not (eats a a_1)) True) (Or (Eq (wolf a) False) (Eq (grain a_1) False))
% 6.16/6.53 Clause #100 (by clausification #[99]): ∀ (a a_1 : Iota), Or (Eq (wolf a) False) (Or (Eq (grain a_1) False) (Eq (eats a a_1) False))
% 6.16/6.53 Clause #101 (by superposition #[100, 35]): ∀ (a a_1 : Iota), Or (Eq (grain a) False) (Or (Eq (eats (skS.0 0 a_1) a) False) (Eq False True))
% 6.16/6.53 Clause #102 (by clausification #[17]): ∀ (a : Iota), Eq (∀ (Y : Iota), And (wolf a) (fox Y) → Not (eats a Y)) True
% 6.16/6.53 Clause #103 (by clausification #[102]): ∀ (a a_1 : Iota), Eq (And (wolf a) (fox a_1) → Not (eats a a_1)) True
% 6.16/6.53 Clause #104 (by clausification #[103]): ∀ (a a_1 : Iota), Or (Eq (And (wolf a) (fox a_1)) False) (Eq (Not (eats a a_1)) True)
% 6.16/6.53 Clause #105 (by clausification #[104]): ∀ (a a_1 : Iota), Or (Eq (Not (eats a a_1)) True) (Or (Eq (wolf a) False) (Eq (fox a_1) False))
% 6.16/6.53 Clause #106 (by clausification #[105]): ∀ (a a_1 : Iota), Or (Eq (wolf a) False) (Or (Eq (fox a_1) False) (Eq (eats a a_1) False))
% 6.16/6.53 Clause #107 (by superposition #[106, 35]): ∀ (a a_1 : Iota), Or (Eq (fox a) False) (Or (Eq (eats (skS.0 0 a_1) a) False) (Eq False True))
% 6.16/6.53 Clause #108 (by clausification #[50]): ∀ (a : Iota), Eq (animal (skS.0 4 a)) True
% 6.16/6.53 Clause #109 (by superposition #[108, 89]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.16/6.53 Or (Eq True False)
% 6.16/6.53 (Or (Eq (plant a) False)
% 6.16/6.53 (Or (Eq (eats (skS.0 4 a_1) a) True)
% 6.16/6.53 (Or (Eq (eats (skS.0 4 a_1) a_2) True)
% 6.16/6.53 (Or (Eq (animal a_2) False)
% 6.16/6.53 (Or (Eq (much_smaller a_2 (skS.0 4 a_1)) False) (Or (Eq (plant a_3) False) (Eq (eats a_2 a_3) False)))))))
% 6.16/6.53 Clause #110 (by clausification #[53]): ∀ (a : Iota), Eq (animal (skS.0 5 a)) True
% 6.16/6.53 Clause #111 (by superposition #[110, 89]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.16/6.56 Or (Eq True False)
% 6.16/6.56 (Or (Eq (plant a) False)
% 6.16/6.56 (Or (Eq (eats (skS.0 5 a_1) a) True)
% 6.16/6.56 (Or (Eq (eats (skS.0 5 a_1) a_2) True)
% 6.16/6.56 (Or (Eq (animal a_2) False)
% 6.16/6.56 (Or (Eq (much_smaller a_2 (skS.0 5 a_1)) False) (Or (Eq (plant a_3) False) (Eq (eats a_2 a_3) False)))))))
% 6.16/6.56 Clause #120 (by clausification #[44]): ∀ (a : Iota), Eq (animal (skS.0 2 a)) True
% 6.16/6.56 Clause #122 (by clausification #[36]): ∀ (a : Iota), Eq (animal (skS.0 0 a)) True
% 6.16/6.56 Clause #123 (by superposition #[122, 89]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.16/6.56 Or (Eq True False)
% 6.16/6.56 (Or (Eq (plant a) False)
% 6.16/6.56 (Or (Eq (eats (skS.0 0 a_1) a) True)
% 6.16/6.56 (Or (Eq (eats (skS.0 0 a_1) a_2) True)
% 6.16/6.56 (Or (Eq (animal a_2) False)
% 6.16/6.56 (Or (Eq (much_smaller a_2 (skS.0 0 a_1)) False) (Or (Eq (plant a_3) False) (Eq (eats a_2 a_3) False)))))))
% 6.16/6.56 Clause #124 (by clausification #[41]): ∀ (a : Iota), Eq (plant (skS.0 1 a)) True
% 6.16/6.56 Clause #125 (by clausification #[22]): ∀ (a : Iota), Eq (snail a → Exists fun Y => And (plant Y) (eats a Y)) True
% 6.16/6.56 Clause #126 (by clausification #[125]): ∀ (a : Iota), Or (Eq (snail a) False) (Eq (Exists fun Y => And (plant Y) (eats a Y)) True)
% 6.16/6.56 Clause #127 (by clausification #[126]): ∀ (a a_1 : Iota), Or (Eq (snail a) False) (Eq (And (plant (skS.0 7 a a_1)) (eats a (skS.0 7 a a_1))) True)
% 6.16/6.56 Clause #128 (by clausification #[127]): ∀ (a a_1 : Iota), Or (Eq (snail a) False) (Eq (eats a (skS.0 7 a a_1)) True)
% 6.16/6.56 Clause #129 (by clausification #[127]): ∀ (a a_1 : Iota), Or (Eq (snail a) False) (Eq (plant (skS.0 7 a a_1)) True)
% 6.16/6.56 Clause #130 (by superposition #[128, 43]): ∀ (a a_1 : Iota), Or (Eq (eats (skS.0 2 a) (skS.0 7 (skS.0 2 a) a_1)) True) (Eq False True)
% 6.16/6.56 Clause #131 (by clausification #[23]): Eq
% 6.16/6.56 (Exists fun X =>
% 6.16/6.56 Exists fun Y => And (And (animal X) (animal Y)) (Exists fun Z => And (And (grain Z) (eats Y Z)) (eats X Y)))
% 6.16/6.56 False
% 6.16/6.56 Clause #132 (by clausification #[131]): ∀ (a : Iota),
% 6.16/6.56 Eq (Exists fun Y => And (And (animal a) (animal Y)) (Exists fun Z => And (And (grain Z) (eats Y Z)) (eats a Y))) False
% 6.16/6.56 Clause #133 (by clausification #[132]): ∀ (a a_1 : Iota),
% 6.16/6.56 Eq (And (And (animal a) (animal a_1)) (Exists fun Z => And (And (grain Z) (eats a_1 Z)) (eats a a_1))) False
% 6.16/6.56 Clause #134 (by clausification #[133]): ∀ (a a_1 : Iota),
% 6.16/6.56 Or (Eq (And (animal a) (animal a_1)) False) (Eq (Exists fun Z => And (And (grain Z) (eats a_1 Z)) (eats a a_1)) False)
% 6.16/6.56 Clause #135 (by clausification #[134]): ∀ (a a_1 : Iota),
% 6.16/6.56 Or (Eq (Exists fun Z => And (And (grain Z) (eats a Z)) (eats a_1 a)) False)
% 6.16/6.56 (Or (Eq (animal a_1) False) (Eq (animal a) False))
% 6.16/6.56 Clause #136 (by clausification #[135]): ∀ (a a_1 a_2 : Iota),
% 6.16/6.56 Or (Eq (animal a) False) (Or (Eq (animal a_1) False) (Eq (And (And (grain a_2) (eats a_1 a_2)) (eats a a_1)) False))
% 6.16/6.56 Clause #137 (by clausification #[136]): ∀ (a a_1 a_2 : Iota),
% 6.16/6.56 Or (Eq (animal a) False)
% 6.16/6.56 (Or (Eq (animal a_1) False) (Or (Eq (And (grain a_2) (eats a_1 a_2)) False) (Eq (eats a a_1) False)))
% 6.16/6.56 Clause #138 (by clausification #[137]): ∀ (a a_1 a_2 : Iota),
% 6.16/6.56 Or (Eq (animal a) False)
% 6.16/6.56 (Or (Eq (animal a_1) False) (Or (Eq (eats a a_1) False) (Or (Eq (grain a_2) False) (Eq (eats a_1 a_2) False))))
% 6.16/6.56 Clause #140 (by superposition #[138, 110]): ∀ (a a_1 a_2 : Iota),
% 6.16/6.56 Or (Eq (animal a) False)
% 6.16/6.56 (Or (Eq (eats (skS.0 5 a_1) a) False) (Or (Eq (grain a_2) False) (Or (Eq (eats a a_2) False) (Eq False True))))
% 6.16/6.56 Clause #145 (by superposition #[129, 43]): ∀ (a a_1 : Iota), Or (Eq (plant (skS.0 7 (skS.0 2 a) a_1)) True) (Eq False True)
% 6.16/6.56 Clause #146 (by clausification #[63]): ∀ (a a_1 : Iota), Or (Eq (much_smaller (skS.0 4 a) a_1) True) (Eq (fox a_1) False)
% 6.16/6.56 Clause #147 (by superposition #[146, 52]): ∀ (a a_1 : Iota), Or (Eq (much_smaller (skS.0 4 a) (skS.0 5 a_1)) True) (Eq False True)
% 6.16/6.56 Clause #148 (by clausification #[78]): ∀ (a a_1 : Iota), Or (Eq (much_smaller a (skS.0 4 a_1)) True) (Eq (snail a) False)
% 6.16/6.56 Clause #149 (by superposition #[148, 43]): ∀ (a a_1 : Iota), Or (Eq (much_smaller (skS.0 2 a) (skS.0 4 a_1)) True) (Eq False True)
% 6.16/6.56 Clause #150 (by clausification #[73]): ∀ (a a_1 : Iota), Or (Eq (much_smaller (skS.0 5 a) a_1) True) (Eq (wolf a_1) False)
% 6.30/6.59 Clause #151 (by superposition #[150, 35]): ∀ (a a_1 : Iota), Or (Eq (much_smaller (skS.0 5 a) (skS.0 0 a_1)) True) (Eq False True)
% 6.30/6.59 Clause #156 (by clausification #[107]): ∀ (a a_1 : Iota), Or (Eq (fox a) False) (Eq (eats (skS.0 0 a_1) a) False)
% 6.30/6.59 Clause #157 (by superposition #[156, 52]): ∀ (a a_1 : Iota), Or (Eq (eats (skS.0 0 a) (skS.0 5 a_1)) False) (Eq False True)
% 6.30/6.59 Clause #158 (by clausification #[101]): ∀ (a a_1 : Iota), Or (Eq (grain a) False) (Eq (eats (skS.0 0 a_1) a) False)
% 6.30/6.59 Clause #159 (by superposition #[158, 40]): ∀ (a a_1 : Iota), Or (Eq (eats (skS.0 0 a) (skS.0 1 a_1)) False) (Eq False True)
% 6.30/6.59 Clause #160 (by clausification #[95]): ∀ (a a_1 : Iota), Or (Eq (snail a) False) (Eq (eats (skS.0 4 a_1) a) False)
% 6.30/6.59 Clause #161 (by superposition #[160, 43]): ∀ (a a_1 : Iota), Or (Eq (eats (skS.0 4 a) (skS.0 2 a_1)) False) (Eq False True)
% 6.30/6.59 Clause #162 (by clausification #[161]): ∀ (a a_1 : Iota), Eq (eats (skS.0 4 a) (skS.0 2 a_1)) False
% 6.30/6.59 Clause #163 (by clausification #[109]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.59 Or (Eq (plant a) False)
% 6.30/6.59 (Or (Eq (eats (skS.0 4 a_1) a) True)
% 6.30/6.59 (Or (Eq (eats (skS.0 4 a_1) a_2) True)
% 6.30/6.59 (Or (Eq (animal a_2) False)
% 6.30/6.59 (Or (Eq (much_smaller a_2 (skS.0 4 a_1)) False) (Or (Eq (plant a_3) False) (Eq (eats a_2 a_3) False))))))
% 6.30/6.59 Clause #164 (by superposition #[163, 124]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.59 Or (Eq (eats (skS.0 4 a) (skS.0 1 a_1)) True)
% 6.30/6.59 (Or (Eq (eats (skS.0 4 a) a_2) True)
% 6.30/6.59 (Or (Eq (animal a_2) False)
% 6.30/6.59 (Or (Eq (much_smaller a_2 (skS.0 4 a)) False)
% 6.30/6.59 (Or (Eq (plant a_3) False) (Or (Eq (eats a_2 a_3) False) (Eq False True))))))
% 6.30/6.59 Clause #165 (by clausification #[159]): ∀ (a a_1 : Iota), Eq (eats (skS.0 0 a) (skS.0 1 a_1)) False
% 6.30/6.59 Clause #166 (by clausification #[151]): ∀ (a a_1 : Iota), Eq (much_smaller (skS.0 5 a) (skS.0 0 a_1)) True
% 6.30/6.59 Clause #167 (by clausification #[149]): ∀ (a a_1 : Iota), Eq (much_smaller (skS.0 2 a) (skS.0 4 a_1)) True
% 6.30/6.59 Clause #168 (by clausification #[147]): ∀ (a a_1 : Iota), Eq (much_smaller (skS.0 4 a) (skS.0 5 a_1)) True
% 6.30/6.59 Clause #170 (by clausification #[111]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.59 Or (Eq (plant a) False)
% 6.30/6.59 (Or (Eq (eats (skS.0 5 a_1) a) True)
% 6.30/6.59 (Or (Eq (eats (skS.0 5 a_1) a_2) True)
% 6.30/6.59 (Or (Eq (animal a_2) False)
% 6.30/6.59 (Or (Eq (much_smaller a_2 (skS.0 5 a_1)) False) (Or (Eq (plant a_3) False) (Eq (eats a_2 a_3) False))))))
% 6.30/6.59 Clause #171 (by superposition #[170, 124]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.59 Or (Eq (eats (skS.0 5 a) (skS.0 1 a_1)) True)
% 6.30/6.59 (Or (Eq (eats (skS.0 5 a) a_2) True)
% 6.30/6.59 (Or (Eq (animal a_2) False)
% 6.30/6.59 (Or (Eq (much_smaller a_2 (skS.0 5 a)) False)
% 6.30/6.59 (Or (Eq (plant a_3) False) (Or (Eq (eats a_2 a_3) False) (Eq False True))))))
% 6.30/6.59 Clause #173 (by clausification #[157]): ∀ (a a_1 : Iota), Eq (eats (skS.0 0 a) (skS.0 5 a_1)) False
% 6.30/6.59 Clause #174 (by clausification #[145]): ∀ (a a_1 : Iota), Eq (plant (skS.0 7 (skS.0 2 a) a_1)) True
% 6.30/6.59 Clause #187 (by clausification #[140]): ∀ (a a_1 a_2 : Iota),
% 6.30/6.59 Or (Eq (animal a) False) (Or (Eq (eats (skS.0 5 a_1) a) False) (Or (Eq (grain a_2) False) (Eq (eats a a_2) False)))
% 6.30/6.59 Clause #188 (by superposition #[187, 108]): ∀ (a a_1 a_2 : Iota),
% 6.30/6.59 Or (Eq (eats (skS.0 5 a) (skS.0 4 a_1)) False)
% 6.30/6.59 (Or (Eq (grain a_2) False) (Or (Eq (eats (skS.0 4 a_1) a_2) False) (Eq False True)))
% 6.30/6.59 Clause #211 (by clausification #[130]): ∀ (a a_1 : Iota), Eq (eats (skS.0 2 a) (skS.0 7 (skS.0 2 a) a_1)) True
% 6.30/6.59 Clause #230 (by clausification #[123]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.59 Or (Eq (plant a) False)
% 6.30/6.59 (Or (Eq (eats (skS.0 0 a_1) a) True)
% 6.30/6.59 (Or (Eq (eats (skS.0 0 a_1) a_2) True)
% 6.30/6.59 (Or (Eq (animal a_2) False)
% 6.30/6.59 (Or (Eq (much_smaller a_2 (skS.0 0 a_1)) False) (Or (Eq (plant a_3) False) (Eq (eats a_2 a_3) False))))))
% 6.30/6.59 Clause #231 (by superposition #[230, 124]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.59 Or (Eq (eats (skS.0 0 a) (skS.0 1 a_1)) True)
% 6.30/6.59 (Or (Eq (eats (skS.0 0 a) a_2) True)
% 6.30/6.59 (Or (Eq (animal a_2) False)
% 6.30/6.59 (Or (Eq (much_smaller a_2 (skS.0 0 a)) False)
% 6.30/6.62 (Or (Eq (plant a_3) False) (Or (Eq (eats a_2 a_3) False) (Eq False True))))))
% 6.30/6.62 Clause #239 (by clausification #[164]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.62 Or (Eq (eats (skS.0 4 a) (skS.0 1 a_1)) True)
% 6.30/6.62 (Or (Eq (eats (skS.0 4 a) a_2) True)
% 6.30/6.62 (Or (Eq (animal a_2) False)
% 6.30/6.62 (Or (Eq (much_smaller a_2 (skS.0 4 a)) False) (Or (Eq (plant a_3) False) (Eq (eats a_2 a_3) False)))))
% 6.30/6.62 Clause #243 (by superposition #[239, 120]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.62 Or (Eq (eats (skS.0 4 a) (skS.0 1 a_1)) True)
% 6.30/6.62 (Or (Eq (eats (skS.0 4 a) (skS.0 2 a_2)) True)
% 6.30/6.62 (Or (Eq (much_smaller (skS.0 2 a_2) (skS.0 4 a)) False)
% 6.30/6.62 (Or (Eq (plant a_3) False) (Or (Eq (eats (skS.0 2 a_2) a_3) False) (Eq False True)))))
% 6.30/6.62 Clause #252 (by clausification #[171]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.62 Or (Eq (eats (skS.0 5 a) (skS.0 1 a_1)) True)
% 6.30/6.62 (Or (Eq (eats (skS.0 5 a) a_2) True)
% 6.30/6.62 (Or (Eq (animal a_2) False)
% 6.30/6.62 (Or (Eq (much_smaller a_2 (skS.0 5 a)) False) (Or (Eq (plant a_3) False) (Eq (eats a_2 a_3) False)))))
% 6.30/6.62 Clause #253 (by superposition #[252, 108]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.62 Or (Eq (eats (skS.0 5 a) (skS.0 1 a_1)) True)
% 6.30/6.62 (Or (Eq (eats (skS.0 5 a) (skS.0 4 a_2)) True)
% 6.30/6.62 (Or (Eq (much_smaller (skS.0 4 a_2) (skS.0 5 a)) False)
% 6.30/6.62 (Or (Eq (plant a_3) False) (Or (Eq (eats (skS.0 4 a_2) a_3) False) (Eq False True)))))
% 6.30/6.62 Clause #262 (by clausification #[188]): ∀ (a a_1 a_2 : Iota),
% 6.30/6.62 Or (Eq (eats (skS.0 5 a) (skS.0 4 a_1)) False) (Or (Eq (grain a_2) False) (Eq (eats (skS.0 4 a_1) a_2) False))
% 6.30/6.62 Clause #271 (by clausification #[231]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.62 Or (Eq (eats (skS.0 0 a) (skS.0 1 a_1)) True)
% 6.30/6.62 (Or (Eq (eats (skS.0 0 a) a_2) True)
% 6.30/6.62 (Or (Eq (animal a_2) False)
% 6.30/6.62 (Or (Eq (much_smaller a_2 (skS.0 0 a)) False) (Or (Eq (plant a_3) False) (Eq (eats a_2 a_3) False)))))
% 6.30/6.62 Clause #273 (by superposition #[271, 110]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.62 Or (Eq (eats (skS.0 0 a) (skS.0 1 a_1)) True)
% 6.30/6.62 (Or (Eq (eats (skS.0 0 a) (skS.0 5 a_2)) True)
% 6.30/6.62 (Or (Eq (much_smaller (skS.0 5 a_2) (skS.0 0 a)) False)
% 6.30/6.62 (Or (Eq (plant a_3) False) (Or (Eq (eats (skS.0 5 a_2) a_3) False) (Eq False True)))))
% 6.30/6.62 Clause #350 (by clausification #[243]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.62 Or (Eq (eats (skS.0 4 a) (skS.0 1 a_1)) True)
% 6.30/6.62 (Or (Eq (eats (skS.0 4 a) (skS.0 2 a_2)) True)
% 6.30/6.62 (Or (Eq (much_smaller (skS.0 2 a_2) (skS.0 4 a)) False)
% 6.30/6.62 (Or (Eq (plant a_3) False) (Eq (eats (skS.0 2 a_2) a_3) False))))
% 6.30/6.62 Clause #351 (by forward demodulation #[350, 162]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.62 Or (Eq (eats (skS.0 4 a) (skS.0 1 a_1)) True)
% 6.30/6.62 (Or (Eq False True)
% 6.30/6.62 (Or (Eq (much_smaller (skS.0 2 a_2) (skS.0 4 a)) False)
% 6.30/6.62 (Or (Eq (plant a_3) False) (Eq (eats (skS.0 2 a_2) a_3) False))))
% 6.30/6.62 Clause #352 (by clausification #[351]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.62 Or (Eq (eats (skS.0 4 a) (skS.0 1 a_1)) True)
% 6.30/6.62 (Or (Eq (much_smaller (skS.0 2 a_2) (skS.0 4 a)) False)
% 6.30/6.62 (Or (Eq (plant a_3) False) (Eq (eats (skS.0 2 a_2) a_3) False)))
% 6.30/6.62 Clause #353 (by superposition #[352, 167]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.62 Or (Eq (eats (skS.0 4 a) (skS.0 1 a_1)) True)
% 6.30/6.62 (Or (Eq (plant a_2) False) (Or (Eq (eats (skS.0 2 a_3) a_2) False) (Eq False True)))
% 6.30/6.62 Clause #354 (by clausification #[353]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.62 Or (Eq (eats (skS.0 4 a) (skS.0 1 a_1)) True) (Or (Eq (plant a_2) False) (Eq (eats (skS.0 2 a_3) a_2) False))
% 6.30/6.62 Clause #356 (by superposition #[354, 174]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 6.30/6.62 Or (Eq (eats (skS.0 4 a) (skS.0 1 a_1)) True)
% 6.30/6.62 (Or (Eq (eats (skS.0 2 a_2) (skS.0 7 (skS.0 2 a_3) a_4)) False) (Eq False True))
% 6.30/6.62 Clause #359 (by clausification #[253]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.62 Or (Eq (eats (skS.0 5 a) (skS.0 1 a_1)) True)
% 6.30/6.62 (Or (Eq (eats (skS.0 5 a) (skS.0 4 a_2)) True)
% 6.30/6.62 (Or (Eq (much_smaller (skS.0 4 a_2) (skS.0 5 a)) False)
% 6.30/6.62 (Or (Eq (plant a_3) False) (Eq (eats (skS.0 4 a_2) a_3) False))))
% 6.30/6.62 Clause #360 (by superposition #[359, 168]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.62 Or (Eq (eats (skS.0 5 a) (skS.0 1 a_1)) True)
% 6.30/6.62 (Or (Eq (eats (skS.0 5 a) (skS.0 4 a_2)) True)
% 6.30/6.62 (Or (Eq (plant a_3) False) (Or (Eq (eats (skS.0 4 a_2) a_3) False) (Eq False True))))
% 6.30/6.65 Clause #362 (by clausification #[356]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 6.30/6.65 Or (Eq (eats (skS.0 4 a) (skS.0 1 a_1)) True) (Eq (eats (skS.0 2 a_2) (skS.0 7 (skS.0 2 a_3) a_4)) False)
% 6.30/6.65 Clause #363 (by superposition #[362, 211]): ∀ (a a_1 : Iota), Or (Eq (eats (skS.0 4 a) (skS.0 1 a_1)) True) (Eq False True)
% 6.30/6.65 Clause #364 (by clausification #[363]): ∀ (a a_1 : Iota), Eq (eats (skS.0 4 a) (skS.0 1 a_1)) True
% 6.30/6.65 Clause #365 (by clausification #[360]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.65 Or (Eq (eats (skS.0 5 a) (skS.0 1 a_1)) True)
% 6.30/6.65 (Or (Eq (eats (skS.0 5 a) (skS.0 4 a_2)) True) (Or (Eq (plant a_3) False) (Eq (eats (skS.0 4 a_2) a_3) False)))
% 6.30/6.65 Clause #366 (by superposition #[365, 124]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.65 Or (Eq (eats (skS.0 5 a) (skS.0 1 a_1)) True)
% 6.30/6.65 (Or (Eq (eats (skS.0 5 a) (skS.0 4 a_2)) True) (Or (Eq (eats (skS.0 4 a_2) (skS.0 1 a_3)) False) (Eq False True)))
% 6.30/6.65 Clause #369 (by clausification #[366]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.65 Or (Eq (eats (skS.0 5 a) (skS.0 1 a_1)) True)
% 6.30/6.65 (Or (Eq (eats (skS.0 5 a) (skS.0 4 a_2)) True) (Eq (eats (skS.0 4 a_2) (skS.0 1 a_3)) False))
% 6.30/6.65 Clause #370 (by superposition #[369, 364]): ∀ (a a_1 a_2 : Iota),
% 6.30/6.65 Or (Eq (eats (skS.0 5 a) (skS.0 1 a_1)) True) (Or (Eq (eats (skS.0 5 a) (skS.0 4 a_2)) True) (Eq False True))
% 6.30/6.65 Clause #372 (by clausification #[370]): ∀ (a a_1 a_2 : Iota), Or (Eq (eats (skS.0 5 a) (skS.0 1 a_1)) True) (Eq (eats (skS.0 5 a) (skS.0 4 a_2)) True)
% 6.30/6.65 Clause #373 (by superposition #[372, 262]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.65 Or (Eq (eats (skS.0 5 a) (skS.0 1 a_1)) True)
% 6.30/6.65 (Or (Eq True False) (Or (Eq (grain a_2) False) (Eq (eats (skS.0 4 a_3) a_2) False)))
% 6.30/6.65 Clause #374 (by clausification #[373]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.65 Or (Eq (eats (skS.0 5 a) (skS.0 1 a_1)) True) (Or (Eq (grain a_2) False) (Eq (eats (skS.0 4 a_3) a_2) False))
% 6.30/6.65 Clause #375 (by superposition #[374, 40]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.65 Or (Eq (eats (skS.0 5 a) (skS.0 1 a_1)) True) (Or (Eq (eats (skS.0 4 a_2) (skS.0 1 a_3)) False) (Eq False True))
% 6.30/6.65 Clause #376 (by clausification #[375]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (eats (skS.0 5 a) (skS.0 1 a_1)) True) (Eq (eats (skS.0 4 a_2) (skS.0 1 a_3)) False)
% 6.30/6.65 Clause #377 (by superposition #[376, 364]): ∀ (a a_1 : Iota), Or (Eq (eats (skS.0 5 a) (skS.0 1 a_1)) True) (Eq False True)
% 6.30/6.65 Clause #378 (by clausification #[377]): ∀ (a a_1 : Iota), Eq (eats (skS.0 5 a) (skS.0 1 a_1)) True
% 6.30/6.65 Clause #385 (by clausification #[273]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.65 Or (Eq (eats (skS.0 0 a) (skS.0 1 a_1)) True)
% 6.30/6.65 (Or (Eq (eats (skS.0 0 a) (skS.0 5 a_2)) True)
% 6.30/6.65 (Or (Eq (much_smaller (skS.0 5 a_2) (skS.0 0 a)) False)
% 6.30/6.65 (Or (Eq (plant a_3) False) (Eq (eats (skS.0 5 a_2) a_3) False))))
% 6.30/6.65 Clause #386 (by forward demodulation #[385, 173]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.65 Or (Eq (eats (skS.0 0 a) (skS.0 1 a_1)) True)
% 6.30/6.65 (Or (Eq False True)
% 6.30/6.65 (Or (Eq (much_smaller (skS.0 5 a_2) (skS.0 0 a)) False)
% 6.30/6.65 (Or (Eq (plant a_3) False) (Eq (eats (skS.0 5 a_2) a_3) False))))
% 6.30/6.65 Clause #387 (by clausification #[386]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.65 Or (Eq (eats (skS.0 0 a) (skS.0 1 a_1)) True)
% 6.30/6.65 (Or (Eq (much_smaller (skS.0 5 a_2) (skS.0 0 a)) False)
% 6.30/6.65 (Or (Eq (plant a_3) False) (Eq (eats (skS.0 5 a_2) a_3) False)))
% 6.30/6.65 Clause #388 (by superposition #[387, 166]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.65 Or (Eq (eats (skS.0 0 a) (skS.0 1 a_1)) True)
% 6.30/6.65 (Or (Eq (plant a_2) False) (Or (Eq (eats (skS.0 5 a_3) a_2) False) (Eq False True)))
% 6.30/6.65 Clause #390 (by clausification #[388]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.65 Or (Eq (eats (skS.0 0 a) (skS.0 1 a_1)) True) (Or (Eq (plant a_2) False) (Eq (eats (skS.0 5 a_3) a_2) False))
% 6.30/6.65 Clause #391 (by superposition #[390, 124]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.30/6.65 Or (Eq (eats (skS.0 0 a) (skS.0 1 a_1)) True) (Or (Eq (eats (skS.0 5 a_2) (skS.0 1 a_3)) False) (Eq False True))
% 6.30/6.65 Clause #394 (by clausification #[391]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (eats (skS.0 0 a) (skS.0 1 a_1)) True) (Eq (eats (skS.0 5 a_2) (skS.0 1 a_3)) False)
% 6.30/6.65 Clause #395 (by superposition #[394, 378]): ∀ (a a_1 : Iota), Or (Eq (eats (skS.0 0 a) (skS.0 1 a_1)) True) (Eq False True)
% 6.30/6.65 Clause #396 (by clausification #[395]): ∀ (a a_1 : Iota), Eq (eats (skS.0 0 a) (skS.0 1 a_1)) True
% 6.30/6.65 Clause #397 (by superposition #[396, 165]): Eq True False
% 6.30/6.65 Clause #398 (by clausification #[397]): False
% 6.30/6.65 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------