0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : duper %s 0.14/0.34 % Computer : n007.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 : 1440 0.14/0.34 % WCLimit : 180 0.14/0.34 % DateTime : Mon Jul 3 03:20:12 EDT 2023 0.14/0.35 % CPUTime : 4.38/4.55 SZS status Theorem for theBenchmark.p 4.38/4.55 SZS output start Proof for theBenchmark.p 4.38/4.55 Clause #0 (by assumption #[]): Eq 4.38/4.55 (Not 4.38/4.55 (Not 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And (∀ (X : Iota), Or (Not (wolf X)) (animal X)) 4.38/4.55 (∀ (X : Iota), Or (animal X) (Not (bird X)))) 4.38/4.55 (∀ (X : Iota), Or (animal X) (Not (snail X)))) 4.38/4.55 (bird a_bird)) 4.38/4.55 (snail a_snail)) 4.38/4.55 (grain a_grain)) 4.38/4.55 (∀ (A P S O : Iota), 4.38/4.55 Or 4.38/4.55 (Or 4.38/4.55 (Or 4.38/4.55 (Or 4.38/4.55 (Or (Or (Or (eats A S) (Not (plant P))) (Not (plant O))) 4.38/4.55 (Not (msmaller S A))) 4.38/4.55 (Not (eats S O))) 4.38/4.55 (Not (animal S))) 4.38/4.55 (Not (animal A))) 4.38/4.55 (eats A P))) 4.38/4.55 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.38/4.55 (∀ (F W : Iota), Or (Or (msmaller F W) (Not (fox F))) (Not (wolf W)))) 4.38/4.55 (∀ (F W : Iota), Or (Or (Not (wolf W)) (Not (eats W F))) (Not (fox F)))) 4.38/4.55 (∀ (W G : Iota), Or (Or (Not (grain G)) (Not (eats W G))) (Not (wolf W)))) 4.38/4.55 (∀ (S : Iota), Or (Not (snail S)) (plant (sf S)))) 4.38/4.55 (∀ (S : Iota), Or (eats S (sf S)) (Not (snail S)))) 4.38/4.55 (∀ (A E G : Iota), 4.38/4.55 Or (Or (Or (Or (Not (animal E)) (Not (grain G))) (Not (eats A E))) (Not (eats E G))) 4.38/4.55 (Not (animal A)))) 4.38/4.55 (∀ (B S : Iota), Or (Or (Not (eats B S)) (Not (snail S))) (Not (bird B)))) 4.38/4.55 (∀ (B F : Iota), Or (Or (Not (bird B)) (Not (fox F))) (msmaller B F))) 4.38/4.55 (∀ (X : Iota), Or (Not (grain X)) (plant X))) 4.38/4.55 (fox a_fox)) 4.38/4.55 (wolf a_wolf)) 4.38/4.55 (∀ (X : Iota), Or (Not (fox X)) (animal X))))) 4.38/4.55 True 4.38/4.55 Clause #1 (by clausification #[0]): Eq 4.38/4.55 (Not 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And 4.38/4.55 (And (∀ (X : Iota), Or (Not (wolf X)) (animal X)) 4.38/4.55 (∀ (X : Iota), Or (animal X) (Not (bird X)))) 4.38/4.55 (∀ (X : Iota), Or (animal X) (Not (snail X)))) 4.38/4.55 (bird a_bird)) 4.38/4.55 (snail a_snail)) 4.38/4.55 (grain a_grain)) 4.38/4.55 (∀ (A P S O : Iota), 4.38/4.55 Or 4.38/4.55 (Or 4.38/4.55 (Or 4.38/4.55 (Or 4.38/4.55 (Or (Or (Or (eats A S) (Not (plant P))) (Not (plant O))) (Not (msmaller S A))) 4.38/4.57 (Not (eats S O))) 4.38/4.57 (Not (animal S))) 4.38/4.57 (Not (animal A))) 4.38/4.57 (eats A P))) 4.38/4.57 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.38/4.57 (∀ (F W : Iota), Or (Or (msmaller F W) (Not (fox F))) (Not (wolf W)))) 4.38/4.57 (∀ (F W : Iota), Or (Or (Not (wolf W)) (Not (eats W F))) (Not (fox F)))) 4.38/4.57 (∀ (W G : Iota), Or (Or (Not (grain G)) (Not (eats W G))) (Not (wolf W)))) 4.38/4.57 (∀ (S : Iota), Or (Not (snail S)) (plant (sf S)))) 4.38/4.57 (∀ (S : Iota), Or (eats S (sf S)) (Not (snail S)))) 4.38/4.57 (∀ (A E G : Iota), 4.38/4.57 Or (Or (Or (Or (Not (animal E)) (Not (grain G))) (Not (eats A E))) (Not (eats E G))) 4.38/4.57 (Not (animal A)))) 4.38/4.57 (∀ (B S : Iota), Or (Or (Not (eats B S)) (Not (snail S))) (Not (bird B)))) 4.38/4.57 (∀ (B F : Iota), Or (Or (Not (bird B)) (Not (fox F))) (msmaller B F))) 4.38/4.57 (∀ (X : Iota), Or (Not (grain X)) (plant X))) 4.38/4.57 (fox a_fox)) 4.38/4.57 (wolf a_wolf)) 4.38/4.57 (∀ (X : Iota), Or (Not (fox X)) (animal X)))) 4.38/4.57 False 4.38/4.57 Clause #2 (by clausification #[1]): Eq 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And (∀ (X : Iota), Or (Not (wolf X)) (animal X)) 4.38/4.57 (∀ (X : Iota), Or (animal X) (Not (bird X)))) 4.38/4.57 (∀ (X : Iota), Or (animal X) (Not (snail X)))) 4.38/4.57 (bird a_bird)) 4.38/4.57 (snail a_snail)) 4.38/4.57 (grain a_grain)) 4.38/4.57 (∀ (A P S O : Iota), 4.38/4.57 Or 4.38/4.57 (Or 4.38/4.57 (Or 4.38/4.57 (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (plant O))) (Not (msmaller S A))) 4.38/4.57 (Not (eats S O))) 4.38/4.57 (Not (animal S))) 4.38/4.57 (Not (animal A))) 4.38/4.57 (eats A P))) 4.38/4.57 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.38/4.57 (∀ (F W : Iota), Or (Or (msmaller F W) (Not (fox F))) (Not (wolf W)))) 4.38/4.57 (∀ (F W : Iota), Or (Or (Not (wolf W)) (Not (eats W F))) (Not (fox F)))) 4.38/4.57 (∀ (W G : Iota), Or (Or (Not (grain G)) (Not (eats W G))) (Not (wolf W)))) 4.38/4.57 (∀ (S : Iota), Or (Not (snail S)) (plant (sf S)))) 4.38/4.57 (∀ (S : Iota), Or (eats S (sf S)) (Not (snail S)))) 4.38/4.57 (∀ (A E G : Iota), 4.38/4.57 Or (Or (Or (Or (Not (animal E)) (Not (grain G))) (Not (eats A E))) (Not (eats E G))) 4.38/4.57 (Not (animal A)))) 4.38/4.57 (∀ (B S : Iota), Or (Or (Not (eats B S)) (Not (snail S))) (Not (bird B)))) 4.38/4.57 (∀ (B F : Iota), Or (Or (Not (bird B)) (Not (fox F))) (msmaller B F))) 4.38/4.57 (∀ (X : Iota), Or (Not (grain X)) (plant X))) 4.38/4.57 (fox a_fox)) 4.38/4.57 (wolf a_wolf)) 4.38/4.57 (∀ (X : Iota), Or (Not (fox X)) (animal X))) 4.38/4.57 True 4.38/4.57 Clause #3 (by clausification #[2]): Eq (∀ (X : Iota), Or (Not (fox X)) (animal X)) True 4.38/4.57 Clause #4 (by clausification #[2]): Eq 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And 4.38/4.57 (And 4.38/4.58 (And 4.38/4.58 (And 4.38/4.58 (And 4.38/4.58 (And 4.38/4.58 (And 4.38/4.58 (And (∀ (X : Iota), Or (Not (wolf X)) (animal X)) 4.38/4.58 (∀ (X : Iota), Or (animal X) (Not (bird X)))) 4.38/4.58 (∀ (X : Iota), Or (animal X) (Not (snail X)))) 4.38/4.58 (bird a_bird)) 4.38/4.58 (snail a_snail)) 4.38/4.58 (grain a_grain)) 4.38/4.58 (∀ (A P S O : Iota), 4.38/4.58 Or 4.38/4.58 (Or 4.38/4.58 (Or 4.38/4.58 (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (plant O))) (Not (msmaller S A))) 4.38/4.58 (Not (eats S O))) 4.38/4.58 (Not (animal S))) 4.38/4.58 (Not (animal A))) 4.38/4.58 (eats A P))) 4.38/4.58 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.38/4.58 (∀ (F W : Iota), Or (Or (msmaller F W) (Not (fox F))) (Not (wolf W)))) 4.38/4.58 (∀ (F W : Iota), Or (Or (Not (wolf W)) (Not (eats W F))) (Not (fox F)))) 4.38/4.58 (∀ (W G : Iota), Or (Or (Not (grain G)) (Not (eats W G))) (Not (wolf W)))) 4.38/4.58 (∀ (S : Iota), Or (Not (snail S)) (plant (sf S)))) 4.38/4.58 (∀ (S : Iota), Or (eats S (sf S)) (Not (snail S)))) 4.38/4.58 (∀ (A E G : Iota), 4.38/4.58 Or (Or (Or (Or (Not (animal E)) (Not (grain G))) (Not (eats A E))) (Not (eats E G))) (Not (animal A)))) 4.38/4.58 (∀ (B S : Iota), Or (Or (Not (eats B S)) (Not (snail S))) (Not (bird B)))) 4.38/4.58 (∀ (B F : Iota), Or (Or (Not (bird B)) (Not (fox F))) (msmaller B F))) 4.38/4.58 (∀ (X : Iota), Or (Not (grain X)) (plant X))) 4.38/4.58 (fox a_fox)) 4.38/4.58 (wolf a_wolf)) 4.38/4.58 True 4.38/4.58 Clause #5 (by clausification #[3]): ∀ (a : Iota), Eq (Or (Not (fox a)) (animal a)) True 4.38/4.58 Clause #6 (by clausification #[5]): ∀ (a : Iota), Or (Eq (Not (fox a)) True) (Eq (animal a) True) 4.38/4.58 Clause #7 (by clausification #[6]): ∀ (a : Iota), Or (Eq (animal a) True) (Eq (fox a) False) 4.38/4.58 Clause #8 (by clausification #[4]): Eq (wolf a_wolf) True 4.38/4.58 Clause #9 (by clausification #[4]): Eq 4.38/4.58 (And 4.38/4.58 (And 4.38/4.58 (And 4.38/4.58 (And 4.38/4.58 (And 4.38/4.58 (And 4.38/4.58 (And 4.38/4.58 (And 4.38/4.58 (And 4.38/4.58 (And 4.38/4.58 (And 4.38/4.58 (And 4.38/4.58 (And 4.38/4.58 (And 4.38/4.58 (And 4.38/4.58 (And 4.38/4.58 (And (∀ (X : Iota), Or (Not (wolf X)) (animal X)) 4.38/4.58 (∀ (X : Iota), Or (animal X) (Not (bird X)))) 4.38/4.58 (∀ (X : Iota), Or (animal X) (Not (snail X)))) 4.38/4.58 (bird a_bird)) 4.38/4.58 (snail a_snail)) 4.38/4.58 (grain a_grain)) 4.38/4.58 (∀ (A P S O : Iota), 4.38/4.58 Or 4.38/4.58 (Or 4.38/4.58 (Or 4.38/4.58 (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (plant O))) (Not (msmaller S A))) 4.38/4.58 (Not (eats S O))) 4.38/4.58 (Not (animal S))) 4.38/4.58 (Not (animal A))) 4.38/4.58 (eats A P))) 4.38/4.58 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.38/4.58 (∀ (F W : Iota), Or (Or (msmaller F W) (Not (fox F))) (Not (wolf W)))) 4.38/4.58 (∀ (F W : Iota), Or (Or (Not (wolf W)) (Not (eats W F))) (Not (fox F)))) 4.38/4.58 (∀ (W G : Iota), Or (Or (Not (grain G)) (Not (eats W G))) (Not (wolf W)))) 4.38/4.58 (∀ (S : Iota), Or (Not (snail S)) (plant (sf S)))) 4.38/4.58 (∀ (S : Iota), Or (eats S (sf S)) (Not (snail S)))) 4.44/4.60 (∀ (A E G : Iota), 4.44/4.60 Or (Or (Or (Or (Not (animal E)) (Not (grain G))) (Not (eats A E))) (Not (eats E G))) (Not (animal A)))) 4.44/4.60 (∀ (B S : Iota), Or (Or (Not (eats B S)) (Not (snail S))) (Not (bird B)))) 4.44/4.60 (∀ (B F : Iota), Or (Or (Not (bird B)) (Not (fox F))) (msmaller B F))) 4.44/4.60 (∀ (X : Iota), Or (Not (grain X)) (plant X))) 4.44/4.60 (fox a_fox)) 4.44/4.60 True 4.44/4.60 Clause #10 (by clausification #[9]): Eq (fox a_fox) True 4.44/4.60 Clause #11 (by clausification #[9]): Eq 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And (∀ (X : Iota), Or (Not (wolf X)) (animal X)) 4.44/4.60 (∀ (X : Iota), Or (animal X) (Not (bird X)))) 4.44/4.60 (∀ (X : Iota), Or (animal X) (Not (snail X)))) 4.44/4.60 (bird a_bird)) 4.44/4.60 (snail a_snail)) 4.44/4.60 (grain a_grain)) 4.44/4.60 (∀ (A P S O : Iota), 4.44/4.60 Or 4.44/4.60 (Or 4.44/4.60 (Or 4.44/4.60 (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (plant O))) (Not (msmaller S A))) 4.44/4.60 (Not (eats S O))) 4.44/4.60 (Not (animal S))) 4.44/4.60 (Not (animal A))) 4.44/4.60 (eats A P))) 4.44/4.60 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.44/4.60 (∀ (F W : Iota), Or (Or (msmaller F W) (Not (fox F))) (Not (wolf W)))) 4.44/4.60 (∀ (F W : Iota), Or (Or (Not (wolf W)) (Not (eats W F))) (Not (fox F)))) 4.44/4.60 (∀ (W G : Iota), Or (Or (Not (grain G)) (Not (eats W G))) (Not (wolf W)))) 4.44/4.60 (∀ (S : Iota), Or (Not (snail S)) (plant (sf S)))) 4.44/4.60 (∀ (S : Iota), Or (eats S (sf S)) (Not (snail S)))) 4.44/4.60 (∀ (A E G : Iota), 4.44/4.60 Or (Or (Or (Or (Not (animal E)) (Not (grain G))) (Not (eats A E))) (Not (eats E G))) (Not (animal A)))) 4.44/4.60 (∀ (B S : Iota), Or (Or (Not (eats B S)) (Not (snail S))) (Not (bird B)))) 4.44/4.60 (∀ (B F : Iota), Or (Or (Not (bird B)) (Not (fox F))) (msmaller B F))) 4.44/4.60 (∀ (X : Iota), Or (Not (grain X)) (plant X))) 4.44/4.60 True 4.44/4.60 Clause #12 (by superposition #[10, 7]): Or (Eq (animal a_fox) True) (Eq True False) 4.44/4.60 Clause #13 (by clausification #[12]): Eq (animal a_fox) True 4.44/4.60 Clause #14 (by clausification #[11]): Eq (∀ (X : Iota), Or (Not (grain X)) (plant X)) True 4.44/4.60 Clause #15 (by clausification #[11]): Eq 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And 4.44/4.60 (And (∀ (X : Iota), Or (Not (wolf X)) (animal X)) 4.44/4.60 (∀ (X : Iota), Or (animal X) (Not (bird X)))) 4.44/4.60 (∀ (X : Iota), Or (animal X) (Not (snail X)))) 4.44/4.60 (bird a_bird)) 4.44/4.60 (snail a_snail)) 4.44/4.60 (grain a_grain)) 4.44/4.60 (∀ (A P S O : Iota), 4.44/4.60 Or 4.44/4.60 (Or 4.44/4.60 (Or 4.44/4.60 (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (plant O))) (Not (msmaller S A))) 4.44/4.60 (Not (eats S O))) 4.44/4.60 (Not (animal S))) 4.44/4.60 (Not (animal A))) 4.44/4.60 (eats A P))) 4.44/4.60 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.44/4.60 (∀ (F W : Iota), Or (Or (msmaller F W) (Not (fox F))) (Not (wolf W)))) 4.44/4.62 (∀ (F W : Iota), Or (Or (Not (wolf W)) (Not (eats W F))) (Not (fox F)))) 4.44/4.62 (∀ (W G : Iota), Or (Or (Not (grain G)) (Not (eats W G))) (Not (wolf W)))) 4.44/4.62 (∀ (S : Iota), Or (Not (snail S)) (plant (sf S)))) 4.44/4.62 (∀ (S : Iota), Or (eats S (sf S)) (Not (snail S)))) 4.44/4.62 (∀ (A E G : Iota), 4.44/4.62 Or (Or (Or (Or (Not (animal E)) (Not (grain G))) (Not (eats A E))) (Not (eats E G))) (Not (animal A)))) 4.44/4.62 (∀ (B S : Iota), Or (Or (Not (eats B S)) (Not (snail S))) (Not (bird B)))) 4.44/4.62 (∀ (B F : Iota), Or (Or (Not (bird B)) (Not (fox F))) (msmaller B F))) 4.44/4.62 True 4.44/4.62 Clause #16 (by clausification #[14]): ∀ (a : Iota), Eq (Or (Not (grain a)) (plant a)) True 4.44/4.62 Clause #17 (by clausification #[16]): ∀ (a : Iota), Or (Eq (Not (grain a)) True) (Eq (plant a) True) 4.44/4.62 Clause #18 (by clausification #[17]): ∀ (a : Iota), Or (Eq (plant a) True) (Eq (grain a) False) 4.44/4.62 Clause #19 (by clausification #[15]): Eq (∀ (B F : Iota), Or (Or (Not (bird B)) (Not (fox F))) (msmaller B F)) True 4.44/4.62 Clause #20 (by clausification #[15]): Eq 4.44/4.62 (And 4.44/4.62 (And 4.44/4.62 (And 4.44/4.62 (And 4.44/4.62 (And 4.44/4.62 (And 4.44/4.62 (And 4.44/4.62 (And 4.44/4.62 (And 4.44/4.62 (And 4.44/4.62 (And 4.44/4.62 (And 4.44/4.62 (And 4.44/4.62 (And (∀ (X : Iota), Or (Not (wolf X)) (animal X)) 4.44/4.62 (∀ (X : Iota), Or (animal X) (Not (bird X)))) 4.44/4.62 (∀ (X : Iota), Or (animal X) (Not (snail X)))) 4.44/4.62 (bird a_bird)) 4.44/4.62 (snail a_snail)) 4.44/4.62 (grain a_grain)) 4.44/4.62 (∀ (A P S O : Iota), 4.44/4.62 Or 4.44/4.62 (Or 4.44/4.62 (Or 4.44/4.62 (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (plant O))) (Not (msmaller S A))) 4.44/4.62 (Not (eats S O))) 4.44/4.62 (Not (animal S))) 4.44/4.62 (Not (animal A))) 4.44/4.62 (eats A P))) 4.44/4.62 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.44/4.62 (∀ (F W : Iota), Or (Or (msmaller F W) (Not (fox F))) (Not (wolf W)))) 4.44/4.62 (∀ (F W : Iota), Or (Or (Not (wolf W)) (Not (eats W F))) (Not (fox F)))) 4.44/4.62 (∀ (W G : Iota), Or (Or (Not (grain G)) (Not (eats W G))) (Not (wolf W)))) 4.44/4.62 (∀ (S : Iota), Or (Not (snail S)) (plant (sf S)))) 4.44/4.62 (∀ (S : Iota), Or (eats S (sf S)) (Not (snail S)))) 4.44/4.62 (∀ (A E G : Iota), 4.44/4.62 Or (Or (Or (Or (Not (animal E)) (Not (grain G))) (Not (eats A E))) (Not (eats E G))) (Not (animal A)))) 4.44/4.62 (∀ (B S : Iota), Or (Or (Not (eats B S)) (Not (snail S))) (Not (bird B)))) 4.44/4.62 True 4.44/4.62 Clause #21 (by clausification #[19]): ∀ (a : Iota), Eq (∀ (F : Iota), Or (Or (Not (bird a)) (Not (fox F))) (msmaller a F)) True 4.44/4.62 Clause #22 (by clausification #[21]): ∀ (a a_1 : Iota), Eq (Or (Or (Not (bird a)) (Not (fox a_1))) (msmaller a a_1)) True 4.44/4.62 Clause #23 (by clausification #[22]): ∀ (a a_1 : Iota), Or (Eq (Or (Not (bird a)) (Not (fox a_1))) True) (Eq (msmaller a a_1) True) 4.44/4.62 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota), Or (Eq (msmaller a a_1) True) (Or (Eq (Not (bird a)) True) (Eq (Not (fox a_1)) True)) 4.44/4.62 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Or (Eq (msmaller a a_1) True) (Or (Eq (Not (fox a_1)) True) (Eq (bird a) False)) 4.44/4.62 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Or (Eq (msmaller a a_1) True) (Or (Eq (bird a) False) (Eq (fox a_1) False)) 4.44/4.62 Clause #27 (by clausification #[20]): Eq (∀ (B S : Iota), Or (Or (Not (eats B S)) (Not (snail S))) (Not (bird B))) True 4.44/4.62 Clause #28 (by clausification #[20]): Eq 4.44/4.62 (And 4.44/4.62 (And 4.44/4.62 (And 4.44/4.62 (And 4.44/4.62 (And 4.44/4.62 (And 4.44/4.62 (And 4.44/4.62 (And 4.44/4.62 (And 4.44/4.62 (And 4.44/4.62 (And 4.44/4.62 (And 4.44/4.62 (And (∀ (X : Iota), Or (Not (wolf X)) (animal X)) 4.44/4.62 (∀ (X : Iota), Or (animal X) (Not (bird X)))) 4.44/4.64 (∀ (X : Iota), Or (animal X) (Not (snail X)))) 4.44/4.64 (bird a_bird)) 4.44/4.64 (snail a_snail)) 4.44/4.64 (grain a_grain)) 4.44/4.64 (∀ (A P S O : Iota), 4.44/4.64 Or 4.44/4.64 (Or 4.44/4.64 (Or 4.44/4.64 (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (plant O))) (Not (msmaller S A))) 4.44/4.64 (Not (eats S O))) 4.44/4.64 (Not (animal S))) 4.44/4.64 (Not (animal A))) 4.44/4.64 (eats A P))) 4.44/4.64 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.44/4.64 (∀ (F W : Iota), Or (Or (msmaller F W) (Not (fox F))) (Not (wolf W)))) 4.44/4.64 (∀ (F W : Iota), Or (Or (Not (wolf W)) (Not (eats W F))) (Not (fox F)))) 4.44/4.64 (∀ (W G : Iota), Or (Or (Not (grain G)) (Not (eats W G))) (Not (wolf W)))) 4.44/4.64 (∀ (S : Iota), Or (Not (snail S)) (plant (sf S)))) 4.44/4.64 (∀ (S : Iota), Or (eats S (sf S)) (Not (snail S)))) 4.44/4.64 (∀ (A E G : Iota), 4.44/4.64 Or (Or (Or (Or (Not (animal E)) (Not (grain G))) (Not (eats A E))) (Not (eats E G))) (Not (animal A)))) 4.44/4.64 True 4.44/4.64 Clause #29 (by clausification #[27]): ∀ (a : Iota), Eq (∀ (S : Iota), Or (Or (Not (eats a S)) (Not (snail S))) (Not (bird a))) True 4.44/4.64 Clause #30 (by clausification #[29]): ∀ (a a_1 : Iota), Eq (Or (Or (Not (eats a a_1)) (Not (snail a_1))) (Not (bird a))) True 4.44/4.64 Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota), Or (Eq (Or (Not (eats a a_1)) (Not (snail a_1))) True) (Eq (Not (bird a)) True) 4.44/4.64 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Or (Eq (Not (bird a)) True) (Or (Eq (Not (eats a a_1)) True) (Eq (Not (snail a_1)) True)) 4.44/4.64 Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota), Or (Eq (Not (eats a a_1)) True) (Or (Eq (Not (snail a_1)) True) (Eq (bird a) False)) 4.44/4.64 Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota), Or (Eq (Not (snail a)) True) (Or (Eq (bird a_1) False) (Eq (eats a_1 a) False)) 4.44/4.64 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota), Or (Eq (bird a) False) (Or (Eq (eats a a_1) False) (Eq (snail a_1) False)) 4.44/4.64 Clause #36 (by clausification #[28]): Eq 4.44/4.64 (∀ (A E G : Iota), 4.44/4.64 Or (Or (Or (Or (Not (animal E)) (Not (grain G))) (Not (eats A E))) (Not (eats E G))) (Not (animal A))) 4.44/4.64 True 4.44/4.64 Clause #37 (by clausification #[28]): Eq 4.44/4.64 (And 4.44/4.64 (And 4.44/4.64 (And 4.44/4.64 (And 4.44/4.64 (And 4.44/4.64 (And 4.44/4.64 (And 4.44/4.64 (And 4.44/4.64 (And 4.44/4.64 (And 4.44/4.64 (And 4.44/4.64 (And (∀ (X : Iota), Or (Not (wolf X)) (animal X)) (∀ (X : Iota), Or (animal X) (Not (bird X)))) 4.44/4.64 (∀ (X : Iota), Or (animal X) (Not (snail X)))) 4.44/4.64 (bird a_bird)) 4.44/4.64 (snail a_snail)) 4.44/4.64 (grain a_grain)) 4.44/4.64 (∀ (A P S O : Iota), 4.44/4.64 Or 4.44/4.64 (Or 4.44/4.64 (Or 4.44/4.64 (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (plant O))) (Not (msmaller S A))) 4.44/4.64 (Not (eats S O))) 4.44/4.64 (Not (animal S))) 4.44/4.64 (Not (animal A))) 4.44/4.64 (eats A P))) 4.44/4.64 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.44/4.64 (∀ (F W : Iota), Or (Or (msmaller F W) (Not (fox F))) (Not (wolf W)))) 4.44/4.64 (∀ (F W : Iota), Or (Or (Not (wolf W)) (Not (eats W F))) (Not (fox F)))) 4.44/4.64 (∀ (W G : Iota), Or (Or (Not (grain G)) (Not (eats W G))) (Not (wolf W)))) 4.44/4.64 (∀ (S : Iota), Or (Not (snail S)) (plant (sf S)))) 4.44/4.64 (∀ (S : Iota), Or (eats S (sf S)) (Not (snail S)))) 4.44/4.64 True 4.44/4.64 Clause #38 (by clausification #[36]): ∀ (a : Iota), 4.44/4.64 Eq 4.44/4.64 (∀ (E G : Iota), 4.44/4.64 Or (Or (Or (Or (Not (animal E)) (Not (grain G))) (Not (eats a E))) (Not (eats E G))) (Not (animal a))) 4.44/4.64 True 4.44/4.64 Clause #39 (by clausification #[38]): ∀ (a a_1 : Iota), 4.44/4.64 Eq 4.44/4.64 (∀ (G : Iota), 4.44/4.64 Or (Or (Or (Or (Not (animal a)) (Not (grain G))) (Not (eats a_1 a))) (Not (eats a G))) (Not (animal a_1))) 4.44/4.67 True 4.44/4.67 Clause #40 (by clausification #[39]): ∀ (a a_1 a_2 : Iota), 4.44/4.67 Eq (Or (Or (Or (Or (Not (animal a)) (Not (grain a_1))) (Not (eats a_2 a))) (Not (eats a a_1))) (Not (animal a_2))) 4.44/4.67 True 4.44/4.67 Clause #41 (by clausification #[40]): ∀ (a a_1 a_2 : Iota), 4.44/4.67 Or (Eq (Or (Or (Or (Not (animal a)) (Not (grain a_1))) (Not (eats a_2 a))) (Not (eats a a_1))) True) 4.44/4.67 (Eq (Not (animal a_2)) True) 4.44/4.67 Clause #42 (by clausification #[41]): ∀ (a a_1 a_2 : Iota), 4.44/4.67 Or (Eq (Not (animal a)) True) 4.44/4.67 (Or (Eq (Or (Or (Not (animal a_1)) (Not (grain a_2))) (Not (eats a a_1))) True) (Eq (Not (eats a_1 a_2)) True)) 4.44/4.67 Clause #43 (by clausification #[42]): ∀ (a a_1 a_2 : Iota), 4.44/4.67 Or (Eq (Or (Or (Not (animal a)) (Not (grain a_1))) (Not (eats a_2 a))) True) 4.44/4.67 (Or (Eq (Not (eats a a_1)) True) (Eq (animal a_2) False)) 4.44/4.67 Clause #44 (by clausification #[43]): ∀ (a a_1 a_2 : Iota), 4.44/4.67 Or (Eq (Not (eats a a_1)) True) 4.44/4.67 (Or (Eq (animal a_2) False) (Or (Eq (Or (Not (animal a)) (Not (grain a_1))) True) (Eq (Not (eats a_2 a)) True))) 4.44/4.67 Clause #45 (by clausification #[44]): ∀ (a a_1 a_2 : Iota), 4.44/4.67 Or (Eq (animal a) False) 4.44/4.67 (Or (Eq (Or (Not (animal a_1)) (Not (grain a_2))) True) (Or (Eq (Not (eats a a_1)) True) (Eq (eats a_1 a_2) False))) 4.44/4.67 Clause #46 (by clausification #[45]): ∀ (a a_1 a_2 : Iota), 4.44/4.67 Or (Eq (animal a) False) 4.44/4.67 (Or (Eq (Not (eats a a_1)) True) 4.44/4.67 (Or (Eq (eats a_1 a_2) False) (Or (Eq (Not (animal a_1)) True) (Eq (Not (grain a_2)) True)))) 4.44/4.67 Clause #47 (by clausification #[46]): ∀ (a a_1 a_2 : Iota), 4.44/4.67 Or (Eq (animal a) False) 4.44/4.67 (Or (Eq (eats a_1 a_2) False) 4.44/4.67 (Or (Eq (Not (animal a_1)) True) (Or (Eq (Not (grain a_2)) True) (Eq (eats a a_1) False)))) 4.44/4.67 Clause #48 (by clausification #[47]): ∀ (a a_1 a_2 : Iota), 4.44/4.67 Or (Eq (animal a) False) 4.44/4.67 (Or (Eq (eats a_1 a_2) False) (Or (Eq (Not (grain a_2)) True) (Or (Eq (eats a a_1) False) (Eq (animal a_1) False)))) 4.44/4.67 Clause #49 (by clausification #[48]): ∀ (a a_1 a_2 : Iota), 4.44/4.67 Or (Eq (animal a) False) 4.44/4.67 (Or (Eq (eats a_1 a_2) False) (Or (Eq (eats a a_1) False) (Or (Eq (animal a_1) False) (Eq (grain a_2) False)))) 4.44/4.67 Clause #50 (by superposition #[49, 13]): ∀ (a a_1 : Iota), 4.44/4.67 Or (Eq (eats a a_1) False) 4.44/4.67 (Or (Eq (eats a_fox a) False) (Or (Eq (animal a) False) (Or (Eq (grain a_1) False) (Eq False True)))) 4.44/4.67 Clause #51 (by clausification #[50]): ∀ (a a_1 : Iota), 4.44/4.67 Or (Eq (eats a a_1) False) (Or (Eq (eats a_fox a) False) (Or (Eq (animal a) False) (Eq (grain a_1) False))) 4.44/4.67 Clause #52 (by clausification #[37]): Eq (∀ (S : Iota), Or (eats S (sf S)) (Not (snail S))) True 4.44/4.67 Clause #53 (by clausification #[37]): Eq 4.44/4.67 (And 4.44/4.67 (And 4.44/4.67 (And 4.44/4.67 (And 4.44/4.67 (And 4.44/4.67 (And 4.44/4.67 (And 4.44/4.67 (And 4.44/4.67 (And 4.44/4.67 (And (And (∀ (X : Iota), Or (Not (wolf X)) (animal X)) (∀ (X : Iota), Or (animal X) (Not (bird X)))) 4.44/4.67 (∀ (X : Iota), Or (animal X) (Not (snail X)))) 4.44/4.67 (bird a_bird)) 4.44/4.67 (snail a_snail)) 4.44/4.67 (grain a_grain)) 4.44/4.67 (∀ (A P S O : Iota), 4.44/4.67 Or 4.44/4.67 (Or 4.44/4.67 (Or 4.44/4.67 (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (plant O))) (Not (msmaller S A))) 4.44/4.67 (Not (eats S O))) 4.44/4.67 (Not (animal S))) 4.44/4.67 (Not (animal A))) 4.44/4.67 (eats A P))) 4.44/4.67 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.44/4.67 (∀ (F W : Iota), Or (Or (msmaller F W) (Not (fox F))) (Not (wolf W)))) 4.44/4.67 (∀ (F W : Iota), Or (Or (Not (wolf W)) (Not (eats W F))) (Not (fox F)))) 4.44/4.67 (∀ (W G : Iota), Or (Or (Not (grain G)) (Not (eats W G))) (Not (wolf W)))) 4.44/4.67 (∀ (S : Iota), Or (Not (snail S)) (plant (sf S)))) 4.44/4.67 True 4.44/4.67 Clause #54 (by clausification #[52]): ∀ (a : Iota), Eq (Or (eats a (sf a)) (Not (snail a))) True 4.44/4.67 Clause #55 (by clausification #[54]): ∀ (a : Iota), Or (Eq (eats a (sf a)) True) (Eq (Not (snail a)) True) 4.44/4.67 Clause #56 (by clausification #[55]): ∀ (a : Iota), Or (Eq (eats a (sf a)) True) (Eq (snail a) False) 4.53/4.69 Clause #57 (by clausification #[53]): Eq (∀ (S : Iota), Or (Not (snail S)) (plant (sf S))) True 4.53/4.69 Clause #58 (by clausification #[53]): Eq 4.53/4.69 (And 4.53/4.69 (And 4.53/4.69 (And 4.53/4.69 (And 4.53/4.69 (And 4.53/4.69 (And 4.53/4.69 (And 4.53/4.69 (And 4.53/4.69 (And (And (∀ (X : Iota), Or (Not (wolf X)) (animal X)) (∀ (X : Iota), Or (animal X) (Not (bird X)))) 4.53/4.69 (∀ (X : Iota), Or (animal X) (Not (snail X)))) 4.53/4.69 (bird a_bird)) 4.53/4.69 (snail a_snail)) 4.53/4.69 (grain a_grain)) 4.53/4.69 (∀ (A P S O : Iota), 4.53/4.69 Or 4.53/4.69 (Or 4.53/4.69 (Or 4.53/4.69 (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (plant O))) (Not (msmaller S A))) (Not (eats S O))) 4.53/4.69 (Not (animal S))) 4.53/4.69 (Not (animal A))) 4.53/4.69 (eats A P))) 4.53/4.69 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.53/4.69 (∀ (F W : Iota), Or (Or (msmaller F W) (Not (fox F))) (Not (wolf W)))) 4.53/4.69 (∀ (F W : Iota), Or (Or (Not (wolf W)) (Not (eats W F))) (Not (fox F)))) 4.53/4.69 (∀ (W G : Iota), Or (Or (Not (grain G)) (Not (eats W G))) (Not (wolf W)))) 4.53/4.69 True 4.53/4.69 Clause #59 (by clausification #[57]): ∀ (a : Iota), Eq (Or (Not (snail a)) (plant (sf a))) True 4.53/4.69 Clause #60 (by clausification #[59]): ∀ (a : Iota), Or (Eq (Not (snail a)) True) (Eq (plant (sf a)) True) 4.53/4.69 Clause #61 (by clausification #[60]): ∀ (a : Iota), Or (Eq (plant (sf a)) True) (Eq (snail a) False) 4.53/4.69 Clause #62 (by clausification #[58]): Eq (∀ (W G : Iota), Or (Or (Not (grain G)) (Not (eats W G))) (Not (wolf W))) True 4.53/4.69 Clause #63 (by clausification #[58]): Eq 4.53/4.69 (And 4.53/4.69 (And 4.53/4.69 (And 4.53/4.69 (And 4.53/4.69 (And 4.53/4.69 (And 4.53/4.69 (And 4.53/4.69 (And (And (∀ (X : Iota), Or (Not (wolf X)) (animal X)) (∀ (X : Iota), Or (animal X) (Not (bird X)))) 4.53/4.69 (∀ (X : Iota), Or (animal X) (Not (snail X)))) 4.53/4.69 (bird a_bird)) 4.53/4.69 (snail a_snail)) 4.53/4.69 (grain a_grain)) 4.53/4.69 (∀ (A P S O : Iota), 4.53/4.69 Or 4.53/4.69 (Or 4.53/4.69 (Or (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (plant O))) (Not (msmaller S A))) (Not (eats S O))) 4.53/4.69 (Not (animal S))) 4.53/4.69 (Not (animal A))) 4.53/4.69 (eats A P))) 4.53/4.69 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.53/4.69 (∀ (F W : Iota), Or (Or (msmaller F W) (Not (fox F))) (Not (wolf W)))) 4.53/4.69 (∀ (F W : Iota), Or (Or (Not (wolf W)) (Not (eats W F))) (Not (fox F)))) 4.53/4.69 True 4.53/4.69 Clause #64 (by clausification #[62]): ∀ (a : Iota), Eq (∀ (G : Iota), Or (Or (Not (grain G)) (Not (eats a G))) (Not (wolf a))) True 4.53/4.69 Clause #65 (by clausification #[64]): ∀ (a a_1 : Iota), Eq (Or (Or (Not (grain a)) (Not (eats a_1 a))) (Not (wolf a_1))) True 4.53/4.69 Clause #66 (by clausification #[65]): ∀ (a a_1 : Iota), Or (Eq (Or (Not (grain a)) (Not (eats a_1 a))) True) (Eq (Not (wolf a_1)) True) 4.53/4.69 Clause #67 (by clausification #[66]): ∀ (a a_1 : Iota), Or (Eq (Not (wolf a)) True) (Or (Eq (Not (grain a_1)) True) (Eq (Not (eats a a_1)) True)) 4.53/4.69 Clause #68 (by clausification #[67]): ∀ (a a_1 : Iota), Or (Eq (Not (grain a)) True) (Or (Eq (Not (eats a_1 a)) True) (Eq (wolf a_1) False)) 4.53/4.69 Clause #69 (by clausification #[68]): ∀ (a a_1 : Iota), Or (Eq (Not (eats a a_1)) True) (Or (Eq (wolf a) False) (Eq (grain a_1) False)) 4.53/4.69 Clause #70 (by clausification #[69]): ∀ (a a_1 : Iota), Or (Eq (wolf a) False) (Or (Eq (grain a_1) False) (Eq (eats a a_1) False)) 4.53/4.69 Clause #71 (by superposition #[70, 8]): ∀ (a : Iota), Or (Eq (grain a) False) (Or (Eq (eats a_wolf a) False) (Eq False True)) 4.53/4.69 Clause #72 (by clausification #[71]): ∀ (a : Iota), Or (Eq (grain a) False) (Eq (eats a_wolf a) False) 4.53/4.69 Clause #73 (by clausification #[63]): Eq (∀ (F W : Iota), Or (Or (Not (wolf W)) (Not (eats W F))) (Not (fox F))) True 4.53/4.69 Clause #74 (by clausification #[63]): Eq 4.53/4.69 (And 4.53/4.69 (And 4.53/4.69 (And 4.53/4.69 (And 4.53/4.69 (And 4.53/4.69 (And 4.53/4.69 (And (And (∀ (X : Iota), Or (Not (wolf X)) (animal X)) (∀ (X : Iota), Or (animal X) (Not (bird X)))) 4.53/4.72 (∀ (X : Iota), Or (animal X) (Not (snail X)))) 4.53/4.72 (bird a_bird)) 4.53/4.72 (snail a_snail)) 4.53/4.72 (grain a_grain)) 4.53/4.72 (∀ (A P S O : Iota), 4.53/4.72 Or 4.53/4.72 (Or 4.53/4.72 (Or (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (plant O))) (Not (msmaller S A))) (Not (eats S O))) 4.53/4.72 (Not (animal S))) 4.53/4.72 (Not (animal A))) 4.53/4.72 (eats A P))) 4.53/4.72 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.53/4.72 (∀ (F W : Iota), Or (Or (msmaller F W) (Not (fox F))) (Not (wolf W)))) 4.53/4.72 True 4.53/4.72 Clause #75 (by clausification #[73]): ∀ (a : Iota), Eq (∀ (W : Iota), Or (Or (Not (wolf W)) (Not (eats W a))) (Not (fox a))) True 4.53/4.72 Clause #76 (by clausification #[75]): ∀ (a a_1 : Iota), Eq (Or (Or (Not (wolf a)) (Not (eats a a_1))) (Not (fox a_1))) True 4.53/4.72 Clause #77 (by clausification #[76]): ∀ (a a_1 : Iota), Or (Eq (Or (Not (wolf a)) (Not (eats a a_1))) True) (Eq (Not (fox a_1)) True) 4.53/4.72 Clause #78 (by clausification #[77]): ∀ (a a_1 : Iota), Or (Eq (Not (fox a)) True) (Or (Eq (Not (wolf a_1)) True) (Eq (Not (eats a_1 a)) True)) 4.53/4.72 Clause #79 (by clausification #[78]): ∀ (a a_1 : Iota), Or (Eq (Not (wolf a)) True) (Or (Eq (Not (eats a a_1)) True) (Eq (fox a_1) False)) 4.53/4.72 Clause #80 (by clausification #[79]): ∀ (a a_1 : Iota), Or (Eq (Not (eats a a_1)) True) (Or (Eq (fox a_1) False) (Eq (wolf a) False)) 4.53/4.72 Clause #81 (by clausification #[80]): ∀ (a a_1 : Iota), Or (Eq (fox a) False) (Or (Eq (wolf a_1) False) (Eq (eats a_1 a) False)) 4.53/4.72 Clause #82 (by superposition #[81, 10]): ∀ (a : Iota), Or (Eq (wolf a) False) (Or (Eq (eats a a_fox) False) (Eq False True)) 4.53/4.72 Clause #83 (by clausification #[82]): ∀ (a : Iota), Or (Eq (wolf a) False) (Eq (eats a a_fox) False) 4.53/4.72 Clause #84 (by superposition #[83, 8]): Or (Eq (eats a_wolf a_fox) False) (Eq False True) 4.53/4.72 Clause #85 (by clausification #[84]): Eq (eats a_wolf a_fox) False 4.53/4.72 Clause #86 (by clausification #[74]): Eq (∀ (F W : Iota), Or (Or (msmaller F W) (Not (fox F))) (Not (wolf W))) True 4.53/4.72 Clause #87 (by clausification #[74]): Eq 4.53/4.72 (And 4.53/4.72 (And 4.53/4.72 (And 4.53/4.72 (And 4.53/4.72 (And 4.53/4.72 (And (And (∀ (X : Iota), Or (Not (wolf X)) (animal X)) (∀ (X : Iota), Or (animal X) (Not (bird X)))) 4.53/4.72 (∀ (X : Iota), Or (animal X) (Not (snail X)))) 4.53/4.72 (bird a_bird)) 4.53/4.72 (snail a_snail)) 4.53/4.72 (grain a_grain)) 4.53/4.72 (∀ (A P S O : Iota), 4.53/4.72 Or 4.53/4.72 (Or 4.53/4.72 (Or (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (plant O))) (Not (msmaller S A))) (Not (eats S O))) 4.53/4.72 (Not (animal S))) 4.53/4.72 (Not (animal A))) 4.53/4.72 (eats A P))) 4.53/4.72 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.53/4.72 True 4.53/4.72 Clause #88 (by clausification #[86]): ∀ (a : Iota), Eq (∀ (W : Iota), Or (Or (msmaller a W) (Not (fox a))) (Not (wolf W))) True 4.53/4.72 Clause #89 (by clausification #[88]): ∀ (a a_1 : Iota), Eq (Or (Or (msmaller a a_1) (Not (fox a))) (Not (wolf a_1))) True 4.53/4.72 Clause #90 (by clausification #[89]): ∀ (a a_1 : Iota), Or (Eq (Or (msmaller a a_1) (Not (fox a))) True) (Eq (Not (wolf a_1)) True) 4.53/4.72 Clause #91 (by clausification #[90]): ∀ (a a_1 : Iota), Or (Eq (Not (wolf a)) True) (Or (Eq (msmaller a_1 a) True) (Eq (Not (fox a_1)) True)) 4.53/4.72 Clause #92 (by clausification #[91]): ∀ (a a_1 : Iota), Or (Eq (msmaller a a_1) True) (Or (Eq (Not (fox a)) True) (Eq (wolf a_1) False)) 4.53/4.72 Clause #93 (by clausification #[92]): ∀ (a a_1 : Iota), Or (Eq (msmaller a a_1) True) (Or (Eq (wolf a_1) False) (Eq (fox a) False)) 4.53/4.72 Clause #94 (by superposition #[93, 8]): ∀ (a : Iota), Or (Eq (msmaller a a_wolf) True) (Or (Eq (fox a) False) (Eq False True)) 4.53/4.72 Clause #95 (by clausification #[87]): Eq (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B)) True 4.53/4.72 Clause #96 (by clausification #[87]): Eq 4.53/4.72 (And 4.53/4.72 (And 4.53/4.72 (And 4.53/4.72 (And 4.53/4.72 (And (And (∀ (X : Iota), Or (Not (wolf X)) (animal X)) (∀ (X : Iota), Or (animal X) (Not (bird X)))) 4.58/4.74 (∀ (X : Iota), Or (animal X) (Not (snail X)))) 4.58/4.74 (bird a_bird)) 4.58/4.74 (snail a_snail)) 4.58/4.74 (grain a_grain)) 4.58/4.74 (∀ (A P S O : Iota), 4.58/4.74 Or 4.58/4.74 (Or 4.58/4.74 (Or (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (plant O))) (Not (msmaller S A))) (Not (eats S O))) 4.58/4.74 (Not (animal S))) 4.58/4.74 (Not (animal A))) 4.58/4.74 (eats A P))) 4.58/4.74 True 4.58/4.74 Clause #97 (by clausification #[95]): ∀ (a : Iota), Eq (∀ (B : Iota), Or (Or (Not (bird B)) (Not (snail a))) (msmaller a B)) True 4.58/4.74 Clause #98 (by clausification #[97]): ∀ (a a_1 : Iota), Eq (Or (Or (Not (bird a)) (Not (snail a_1))) (msmaller a_1 a)) True 4.58/4.74 Clause #99 (by clausification #[98]): ∀ (a a_1 : Iota), Or (Eq (Or (Not (bird a)) (Not (snail a_1))) True) (Eq (msmaller a_1 a) True) 4.58/4.74 Clause #100 (by clausification #[99]): ∀ (a a_1 : Iota), Or (Eq (msmaller a a_1) True) (Or (Eq (Not (bird a_1)) True) (Eq (Not (snail a)) True)) 4.58/4.74 Clause #101 (by clausification #[100]): ∀ (a a_1 : Iota), Or (Eq (msmaller a a_1) True) (Or (Eq (Not (snail a)) True) (Eq (bird a_1) False)) 4.58/4.74 Clause #102 (by clausification #[101]): ∀ (a a_1 : Iota), Or (Eq (msmaller a a_1) True) (Or (Eq (bird a_1) False) (Eq (snail a) False)) 4.58/4.74 Clause #103 (by clausification #[94]): ∀ (a : Iota), Or (Eq (msmaller a a_wolf) True) (Eq (fox a) False) 4.58/4.74 Clause #104 (by superposition #[103, 10]): Or (Eq (msmaller a_fox a_wolf) True) (Eq False True) 4.58/4.74 Clause #105 (by clausification #[104]): Eq (msmaller a_fox a_wolf) True 4.58/4.74 Clause #106 (by clausification #[96]): Eq 4.58/4.74 (∀ (A P S O : Iota), 4.58/4.74 Or 4.58/4.74 (Or 4.58/4.74 (Or (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (plant O))) (Not (msmaller S A))) (Not (eats S O))) 4.58/4.74 (Not (animal S))) 4.58/4.74 (Not (animal A))) 4.58/4.74 (eats A P)) 4.58/4.74 True 4.58/4.74 Clause #107 (by clausification #[96]): Eq 4.58/4.74 (And 4.58/4.74 (And 4.58/4.74 (And 4.58/4.74 (And (And (∀ (X : Iota), Or (Not (wolf X)) (animal X)) (∀ (X : Iota), Or (animal X) (Not (bird X)))) 4.58/4.74 (∀ (X : Iota), Or (animal X) (Not (snail X)))) 4.58/4.74 (bird a_bird)) 4.58/4.74 (snail a_snail)) 4.59/4.74 (grain a_grain)) 4.59/4.74 True 4.59/4.74 Clause #108 (by clausification #[106]): ∀ (a : Iota), 4.59/4.74 Eq 4.59/4.74 (∀ (P S O : Iota), 4.59/4.74 Or 4.59/4.74 (Or 4.59/4.74 (Or (Or (Or (Or (Or (eats a S) (Not (plant P))) (Not (plant O))) (Not (msmaller S a))) (Not (eats S O))) 4.59/4.74 (Not (animal S))) 4.59/4.74 (Not (animal a))) 4.59/4.74 (eats a P)) 4.59/4.74 True 4.59/4.74 Clause #109 (by clausification #[108]): ∀ (a a_1 : Iota), 4.59/4.74 Eq 4.59/4.74 (∀ (S O : Iota), 4.59/4.74 Or 4.59/4.74 (Or 4.59/4.74 (Or (Or (Or (Or (Or (eats a S) (Not (plant a_1))) (Not (plant O))) (Not (msmaller S a))) (Not (eats S O))) 4.59/4.74 (Not (animal S))) 4.59/4.74 (Not (animal a))) 4.59/4.74 (eats a a_1)) 4.59/4.74 True 4.59/4.74 Clause #110 (by clausification #[109]): ∀ (a a_1 a_2 : Iota), 4.59/4.74 Eq 4.59/4.74 (∀ (O : Iota), 4.59/4.74 Or 4.59/4.74 (Or 4.59/4.74 (Or 4.59/4.74 (Or (Or (Or (Or (eats a a_1) (Not (plant a_2))) (Not (plant O))) (Not (msmaller a_1 a))) (Not (eats a_1 O))) 4.59/4.74 (Not (animal a_1))) 4.59/4.74 (Not (animal a))) 4.59/4.74 (eats a a_2)) 4.59/4.74 True 4.59/4.74 Clause #111 (by clausification #[110]): ∀ (a a_1 a_2 a_3 : Iota), 4.59/4.74 Eq 4.59/4.74 (Or 4.59/4.74 (Or 4.59/4.74 (Or 4.59/4.74 (Or (Or (Or (Or (eats a a_1) (Not (plant a_2))) (Not (plant a_3))) (Not (msmaller a_1 a))) 4.59/4.74 (Not (eats a_1 a_3))) 4.59/4.74 (Not (animal a_1))) 4.59/4.74 (Not (animal a))) 4.59/4.74 (eats a a_2)) 4.59/4.74 True 4.59/4.74 Clause #112 (by clausification #[111]): ∀ (a a_1 a_2 a_3 : Iota), 4.59/4.74 Or 4.59/4.74 (Eq 4.59/4.74 (Or 4.59/4.74 (Or 4.59/4.74 (Or (Or (Or (Or (eats a a_1) (Not (plant a_2))) (Not (plant a_3))) (Not (msmaller a_1 a))) 4.59/4.74 (Not (eats a_1 a_3))) 4.59/4.74 (Not (animal a_1))) 4.59/4.74 (Not (animal a))) 4.59/4.74 True) 4.59/4.74 (Eq (eats a a_2) True) 4.59/4.74 Clause #113 (by clausification #[112]): ∀ (a a_1 a_2 a_3 : Iota), 4.59/4.74 Or (Eq (eats a a_1) True) 4.59/4.74 (Or 4.59/4.74 (Eq 4.59/4.74 (Or 4.59/4.74 (Or (Or (Or (Or (eats a a_2) (Not (plant a_1))) (Not (plant a_3))) (Not (msmaller a_2 a))) 4.59/4.74 (Not (eats a_2 a_3))) 4.59/4.74 (Not (animal a_2))) 4.59/4.74 True) 4.59/4.74 (Eq (Not (animal a)) True)) 4.59/4.74 Clause #114 (by clausification #[113]): ∀ (a a_1 a_2 a_3 : Iota), 4.59/4.76 Or (Eq (eats a a_1) True) 4.59/4.76 (Or (Eq (Not (animal a)) True) 4.59/4.76 (Or 4.59/4.76 (Eq 4.59/4.76 (Or (Or (Or (Or (eats a a_2) (Not (plant a_1))) (Not (plant a_3))) (Not (msmaller a_2 a))) 4.59/4.76 (Not (eats a_2 a_3))) 4.59/4.76 True) 4.59/4.76 (Eq (Not (animal a_2)) True))) 4.59/4.76 Clause #115 (by clausification #[114]): ∀ (a a_1 a_2 a_3 : Iota), 4.59/4.76 Or (Eq (eats a a_1) True) 4.59/4.76 (Or 4.59/4.76 (Eq 4.59/4.76 (Or (Or (Or (Or (eats a a_2) (Not (plant a_1))) (Not (plant a_3))) (Not (msmaller a_2 a))) (Not (eats a_2 a_3))) 4.59/4.76 True) 4.59/4.76 (Or (Eq (Not (animal a_2)) True) (Eq (animal a) False))) 4.59/4.76 Clause #116 (by clausification #[115]): ∀ (a a_1 a_2 a_3 : Iota), 4.59/4.76 Or (Eq (eats a a_1) True) 4.59/4.76 (Or (Eq (Not (animal a_2)) True) 4.59/4.76 (Or (Eq (animal a) False) 4.59/4.76 (Or (Eq (Or (Or (Or (eats a a_2) (Not (plant a_1))) (Not (plant a_3))) (Not (msmaller a_2 a))) True) 4.59/4.76 (Eq (Not (eats a_2 a_3)) True)))) 4.59/4.76 Clause #117 (by clausification #[116]): ∀ (a a_1 a_2 a_3 : Iota), 4.59/4.76 Or (Eq (eats a a_1) True) 4.59/4.76 (Or (Eq (animal a) False) 4.59/4.76 (Or (Eq (Or (Or (Or (eats a a_2) (Not (plant a_1))) (Not (plant a_3))) (Not (msmaller a_2 a))) True) 4.59/4.76 (Or (Eq (Not (eats a_2 a_3)) True) (Eq (animal a_2) False)))) 4.59/4.76 Clause #118 (by clausification #[117]): ∀ (a a_1 a_2 a_3 : Iota), 4.59/4.76 Or (Eq (eats a a_1) True) 4.59/4.76 (Or (Eq (animal a) False) 4.59/4.76 (Or (Eq (Not (eats a_2 a_3)) True) 4.59/4.76 (Or (Eq (animal a_2) False) 4.59/4.76 (Or (Eq (Or (Or (eats a a_2) (Not (plant a_1))) (Not (plant a_3))) True) (Eq (Not (msmaller a_2 a)) True))))) 4.59/4.76 Clause #119 (by clausification #[118]): ∀ (a a_1 a_2 a_3 : Iota), 4.59/4.76 Or (Eq (eats a a_1) True) 4.59/4.76 (Or (Eq (animal a) False) 4.59/4.76 (Or (Eq (animal a_2) False) 4.59/4.76 (Or (Eq (Or (Or (eats a a_2) (Not (plant a_1))) (Not (plant a_3))) True) 4.59/4.76 (Or (Eq (Not (msmaller a_2 a)) True) (Eq (eats a_2 a_3) False))))) 4.59/4.76 Clause #120 (by clausification #[119]): ∀ (a a_1 a_2 a_3 : Iota), 4.59/4.76 Or (Eq (eats a a_1) True) 4.59/4.76 (Or (Eq (animal a) False) 4.59/4.76 (Or (Eq (animal a_2) False) 4.59/4.76 (Or (Eq (Not (msmaller a_2 a)) True) 4.59/4.76 (Or (Eq (eats a_2 a_3) False) 4.59/4.76 (Or (Eq (Or (eats a a_2) (Not (plant a_1))) True) (Eq (Not (plant a_3)) True)))))) 4.59/4.76 Clause #121 (by clausification #[120]): ∀ (a a_1 a_2 a_3 : Iota), 4.59/4.76 Or (Eq (eats a a_1) True) 4.59/4.76 (Or (Eq (animal a) False) 4.59/4.76 (Or (Eq (animal a_2) False) 4.59/4.76 (Or (Eq (eats a_2 a_3) False) 4.59/4.76 (Or (Eq (Or (eats a a_2) (Not (plant a_1))) True) 4.59/4.76 (Or (Eq (Not (plant a_3)) True) (Eq (msmaller a_2 a) False)))))) 4.59/4.76 Clause #122 (by clausification #[121]): ∀ (a a_1 a_2 a_3 : Iota), 4.59/4.76 Or (Eq (eats a a_1) True) 4.59/4.76 (Or (Eq (animal a) False) 4.59/4.76 (Or (Eq (animal a_2) False) 4.59/4.76 (Or (Eq (eats a_2 a_3) False) 4.59/4.76 (Or (Eq (Not (plant a_3)) True) 4.59/4.76 (Or (Eq (msmaller a_2 a) False) (Or (Eq (eats a a_2) True) (Eq (Not (plant a_1)) True))))))) 4.59/4.76 Clause #123 (by clausification #[122]): ∀ (a a_1 a_2 a_3 : Iota), 4.59/4.76 Or (Eq (eats a a_1) True) 4.59/4.76 (Or (Eq (animal a) False) 4.59/4.76 (Or (Eq (animal a_2) False) 4.59/4.76 (Or (Eq (eats a_2 a_3) False) 4.59/4.76 (Or (Eq (msmaller a_2 a) False) 4.59/4.76 (Or (Eq (eats a a_2) True) (Or (Eq (Not (plant a_1)) True) (Eq (plant a_3) False))))))) 4.59/4.76 Clause #124 (by clausification #[123]): ∀ (a a_1 a_2 a_3 : Iota), 4.59/4.76 Or (Eq (eats a a_1) True) 4.59/4.76 (Or (Eq (animal a) False) 4.59/4.76 (Or (Eq (animal a_2) False) 4.59/4.76 (Or (Eq (eats a_2 a_3) False) 4.59/4.76 (Or (Eq (msmaller a_2 a) False) 4.59/4.76 (Or (Eq (eats a a_2) True) (Or (Eq (plant a_3) False) (Eq (plant a_1) False))))))) 4.59/4.76 Clause #125 (by superposition #[124, 13]): ∀ (a a_1 a_2 : Iota), 4.59/4.76 Or (Eq (eats a_fox a) True) 4.59/4.76 (Or (Eq (animal a_1) False) 4.59/4.76 (Or (Eq (eats a_1 a_2) False) 4.59/4.76 (Or (Eq (msmaller a_1 a_fox) False) 4.59/4.76 (Or (Eq (eats a_fox a_1) True) (Or (Eq (plant a_2) False) (Or (Eq (plant a) False) (Eq False True))))))) 4.59/4.76 Clause #126 (by clausification #[125]): ∀ (a a_1 a_2 : Iota), 4.59/4.76 Or (Eq (eats a_fox a) True) 4.59/4.76 (Or (Eq (animal a_1) False) 4.59/4.76 (Or (Eq (eats a_1 a_2) False) 4.59/4.76 (Or (Eq (msmaller a_1 a_fox) False) 4.59/4.76 (Or (Eq (eats a_fox a_1) True) (Or (Eq (plant a_2) False) (Eq (plant a) False)))))) 4.59/4.79 Clause #129 (by clausification #[107]): Eq (grain a_grain) True 4.59/4.79 Clause #130 (by clausification #[107]): Eq 4.59/4.79 (And 4.59/4.79 (And 4.59/4.79 (And (And (∀ (X : Iota), Or (Not (wolf X)) (animal X)) (∀ (X : Iota), Or (animal X) (Not (bird X)))) 4.59/4.79 (∀ (X : Iota), Or (animal X) (Not (snail X)))) 4.59/4.79 (bird a_bird)) 4.59/4.79 (snail a_snail)) 4.59/4.79 True 4.59/4.79 Clause #131 (by superposition #[129, 18]): Or (Eq (plant a_grain) True) (Eq True False) 4.59/4.79 Clause #132 (by superposition #[129, 72]): Or (Eq True False) (Eq (eats a_wolf a_grain) False) 4.59/4.79 Clause #133 (by clausification #[131]): Eq (plant a_grain) True 4.59/4.79 Clause #134 (by clausification #[132]): Eq (eats a_wolf a_grain) False 4.59/4.79 Clause #135 (by clausification #[130]): Eq (snail a_snail) True 4.59/4.79 Clause #136 (by clausification #[130]): Eq 4.59/4.79 (And 4.59/4.79 (And (And (∀ (X : Iota), Or (Not (wolf X)) (animal X)) (∀ (X : Iota), Or (animal X) (Not (bird X)))) 4.59/4.79 (∀ (X : Iota), Or (animal X) (Not (snail X)))) 4.59/4.79 (bird a_bird)) 4.59/4.79 True 4.59/4.79 Clause #137 (by superposition #[135, 56]): Or (Eq (eats a_snail (sf a_snail)) True) (Eq True False) 4.59/4.79 Clause #138 (by superposition #[135, 61]): Or (Eq (plant (sf a_snail)) True) (Eq True False) 4.59/4.79 Clause #139 (by clausification #[138]): Eq (plant (sf a_snail)) True 4.59/4.79 Clause #140 (by clausification #[137]): Eq (eats a_snail (sf a_snail)) True 4.59/4.79 Clause #142 (by clausification #[136]): Eq (bird a_bird) True 4.59/4.79 Clause #143 (by clausification #[136]): Eq 4.59/4.79 (And (And (∀ (X : Iota), Or (Not (wolf X)) (animal X)) (∀ (X : Iota), Or (animal X) (Not (bird X)))) 4.59/4.79 (∀ (X : Iota), Or (animal X) (Not (snail X)))) 4.59/4.79 True 4.59/4.79 Clause #144 (by superposition #[142, 26]): ∀ (a : Iota), Or (Eq (msmaller a_bird a) True) (Or (Eq True False) (Eq (fox a) False)) 4.59/4.79 Clause #145 (by superposition #[142, 35]): ∀ (a : Iota), Or (Eq True False) (Or (Eq (eats a_bird a) False) (Eq (snail a) False)) 4.59/4.79 Clause #146 (by superposition #[142, 102]): ∀ (a : Iota), Or (Eq (msmaller a a_bird) True) (Or (Eq True False) (Eq (snail a) False)) 4.59/4.79 Clause #147 (by clausification #[146]): ∀ (a : Iota), Or (Eq (msmaller a a_bird) True) (Eq (snail a) False) 4.59/4.79 Clause #148 (by superposition #[147, 135]): Or (Eq (msmaller a_snail a_bird) True) (Eq False True) 4.59/4.79 Clause #149 (by clausification #[148]): Eq (msmaller a_snail a_bird) True 4.59/4.79 Clause #150 (by clausification #[145]): ∀ (a : Iota), Or (Eq (eats a_bird a) False) (Eq (snail a) False) 4.59/4.79 Clause #151 (by clausification #[144]): ∀ (a : Iota), Or (Eq (msmaller a_bird a) True) (Eq (fox a) False) 4.59/4.79 Clause #152 (by superposition #[151, 10]): Or (Eq (msmaller a_bird a_fox) True) (Eq False True) 4.59/4.79 Clause #153 (by clausification #[152]): Eq (msmaller a_bird a_fox) True 4.59/4.79 Clause #155 (by clausification #[143]): Eq (∀ (X : Iota), Or (animal X) (Not (snail X))) True 4.59/4.79 Clause #156 (by clausification #[143]): Eq (And (∀ (X : Iota), Or (Not (wolf X)) (animal X)) (∀ (X : Iota), Or (animal X) (Not (bird X)))) True 4.59/4.79 Clause #157 (by clausification #[155]): ∀ (a : Iota), Eq (Or (animal a) (Not (snail a))) True 4.59/4.79 Clause #158 (by clausification #[157]): ∀ (a : Iota), Or (Eq (animal a) True) (Eq (Not (snail a)) True) 4.59/4.79 Clause #159 (by clausification #[158]): ∀ (a : Iota), Or (Eq (animal a) True) (Eq (snail a) False) 4.59/4.79 Clause #160 (by superposition #[159, 135]): Or (Eq (animal a_snail) True) (Eq False True) 4.59/4.79 Clause #161 (by clausification #[160]): Eq (animal a_snail) True 4.59/4.79 Clause #172 (by clausification #[156]): Eq (∀ (X : Iota), Or (animal X) (Not (bird X))) True 4.59/4.79 Clause #173 (by clausification #[156]): Eq (∀ (X : Iota), Or (Not (wolf X)) (animal X)) True 4.59/4.79 Clause #174 (by clausification #[172]): ∀ (a : Iota), Eq (Or (animal a) (Not (bird a))) True 4.59/4.79 Clause #175 (by clausification #[174]): ∀ (a : Iota), Or (Eq (animal a) True) (Eq (Not (bird a)) True) 4.59/4.79 Clause #176 (by clausification #[175]): ∀ (a : Iota), Or (Eq (animal a) True) (Eq (bird a) False) 4.59/4.79 Clause #177 (by superposition #[176, 142]): Or (Eq (animal a_bird) True) (Eq False True) 4.59/4.79 Clause #178 (by clausification #[177]): Eq (animal a_bird) True 4.59/4.79 Clause #180 (by superposition #[178, 124]): ∀ (a a_1 a_2 : Iota), 4.59/4.81 Or (Eq (eats a_bird a) True) 4.59/4.81 (Or (Eq True False) 4.59/4.81 (Or (Eq (animal a_1) False) 4.59/4.81 (Or (Eq (eats a_1 a_2) False) 4.59/4.81 (Or (Eq (msmaller a_1 a_bird) False) 4.59/4.81 (Or (Eq (eats a_bird a_1) True) (Or (Eq (plant a_2) False) (Eq (plant a) False))))))) 4.59/4.81 Clause #181 (by superposition #[178, 126]): ∀ (a a_1 : Iota), 4.59/4.81 Or (Eq (eats a_fox a) True) 4.59/4.81 (Or (Eq True False) 4.59/4.81 (Or (Eq (eats a_bird a_1) False) 4.59/4.81 (Or (Eq (msmaller a_bird a_fox) False) 4.59/4.81 (Or (Eq (eats a_fox a_bird) True) (Or (Eq (plant a_1) False) (Eq (plant a) False)))))) 4.59/4.81 Clause #182 (by clausification #[173]): ∀ (a : Iota), Eq (Or (Not (wolf a)) (animal a)) True 4.59/4.81 Clause #183 (by clausification #[182]): ∀ (a : Iota), Or (Eq (Not (wolf a)) True) (Eq (animal a) True) 4.59/4.81 Clause #184 (by clausification #[183]): ∀ (a : Iota), Or (Eq (animal a) True) (Eq (wolf a) False) 4.59/4.81 Clause #185 (by superposition #[184, 8]): Or (Eq (animal a_wolf) True) (Eq False True) 4.59/4.81 Clause #186 (by clausification #[185]): Eq (animal a_wolf) True 4.59/4.81 Clause #188 (by superposition #[186, 124]): ∀ (a a_1 a_2 : Iota), 4.59/4.81 Or (Eq (eats a_wolf a) True) 4.59/4.81 (Or (Eq True False) 4.59/4.81 (Or (Eq (animal a_1) False) 4.59/4.81 (Or (Eq (eats a_1 a_2) False) 4.59/4.81 (Or (Eq (msmaller a_1 a_wolf) False) 4.59/4.81 (Or (Eq (eats a_wolf a_1) True) (Or (Eq (plant a_2) False) (Eq (plant a) False))))))) 4.59/4.81 Clause #205 (by clausification #[181]): ∀ (a a_1 : Iota), 4.59/4.81 Or (Eq (eats a_fox a) True) 4.59/4.81 (Or (Eq (eats a_bird a_1) False) 4.59/4.81 (Or (Eq (msmaller a_bird a_fox) False) 4.59/4.81 (Or (Eq (eats a_fox a_bird) True) (Or (Eq (plant a_1) False) (Eq (plant a) False))))) 4.59/4.81 Clause #209 (by clausification #[180]): ∀ (a a_1 a_2 : Iota), 4.59/4.81 Or (Eq (eats a_bird a) True) 4.59/4.81 (Or (Eq (animal a_1) False) 4.59/4.81 (Or (Eq (eats a_1 a_2) False) 4.59/4.81 (Or (Eq (msmaller a_1 a_bird) False) 4.59/4.81 (Or (Eq (eats a_bird a_1) True) (Or (Eq (plant a_2) False) (Eq (plant a) False)))))) 4.59/4.81 Clause #211 (by superposition #[209, 161]): ∀ (a a_1 : Iota), 4.59/4.81 Or (Eq (eats a_bird a) True) 4.59/4.81 (Or (Eq (eats a_snail a_1) False) 4.59/4.81 (Or (Eq (msmaller a_snail a_bird) False) 4.59/4.81 (Or (Eq (eats a_bird a_snail) True) (Or (Eq (plant a_1) False) (Or (Eq (plant a) False) (Eq False True)))))) 4.59/4.81 Clause #220 (by clausification #[211]): ∀ (a a_1 : Iota), 4.59/4.81 Or (Eq (eats a_bird a) True) 4.59/4.81 (Or (Eq (eats a_snail a_1) False) 4.59/4.81 (Or (Eq (msmaller a_snail a_bird) False) 4.59/4.81 (Or (Eq (eats a_bird a_snail) True) (Or (Eq (plant a_1) False) (Eq (plant a) False))))) 4.59/4.81 Clause #221 (by superposition #[220, 140]): ∀ (a : Iota), 4.59/4.81 Or (Eq (eats a_bird a) True) 4.59/4.81 (Or (Eq (msmaller a_snail a_bird) False) 4.59/4.81 (Or (Eq (eats a_bird a_snail) True) 4.59/4.81 (Or (Eq (plant (sf a_snail)) False) (Or (Eq (plant a) False) (Eq False True))))) 4.59/4.81 Clause #222 (by clausification #[188]): ∀ (a a_1 a_2 : Iota), 4.59/4.81 Or (Eq (eats a_wolf a) True) 4.59/4.81 (Or (Eq (animal a_1) False) 4.59/4.81 (Or (Eq (eats a_1 a_2) False) 4.59/4.81 (Or (Eq (msmaller a_1 a_wolf) False) 4.59/4.81 (Or (Eq (eats a_wolf a_1) True) (Or (Eq (plant a_2) False) (Eq (plant a) False)))))) 4.59/4.81 Clause #223 (by superposition #[222, 13]): ∀ (a a_1 : Iota), 4.59/4.81 Or (Eq (eats a_wolf a) True) 4.59/4.81 (Or (Eq (eats a_fox a_1) False) 4.59/4.81 (Or (Eq (msmaller a_fox a_wolf) False) 4.59/4.81 (Or (Eq (eats a_wolf a_fox) True) (Or (Eq (plant a_1) False) (Or (Eq (plant a) False) (Eq False True)))))) 4.59/4.81 Clause #227 (by clausification #[221]): ∀ (a : Iota), 4.59/4.81 Or (Eq (eats a_bird a) True) 4.59/4.81 (Or (Eq (msmaller a_snail a_bird) False) 4.59/4.81 (Or (Eq (eats a_bird a_snail) True) (Or (Eq (plant (sf a_snail)) False) (Eq (plant a) False)))) 4.59/4.81 Clause #228 (by forward demodulation #[227, 139]): ∀ (a : Iota), 4.59/4.81 Or (Eq (eats a_bird a) True) 4.59/4.81 (Or (Eq (msmaller a_snail a_bird) False) 4.59/4.81 (Or (Eq (eats a_bird a_snail) True) (Or (Eq True False) (Eq (plant a) False)))) 4.59/4.81 Clause #229 (by clausification #[228]): ∀ (a : Iota), 4.59/4.81 Or (Eq (eats a_bird a) True) 4.59/4.81 (Or (Eq (msmaller a_snail a_bird) False) (Or (Eq (eats a_bird a_snail) True) (Eq (plant a) False))) 4.59/4.81 Clause #230 (by superposition #[229, 149]): ∀ (a : Iota), 4.66/4.83 Or (Eq (eats a_bird a) True) (Or (Eq (eats a_bird a_snail) True) (Or (Eq (plant a) False) (Eq False True))) 4.66/4.83 Clause #231 (by clausification #[230]): ∀ (a : Iota), Or (Eq (eats a_bird a) True) (Or (Eq (eats a_bird a_snail) True) (Eq (plant a) False)) 4.66/4.83 Clause #232 (by superposition #[231, 133]): Or (Eq (eats a_bird a_grain) True) (Or (Eq (eats a_bird a_snail) True) (Eq False True)) 4.66/4.83 Clause #234 (by clausification #[232]): Or (Eq (eats a_bird a_grain) True) (Eq (eats a_bird a_snail) True) 4.66/4.83 Clause #236 (by superposition #[234, 205]): ∀ (a : Iota), 4.66/4.83 Or (Eq (eats a_bird a_snail) True) 4.66/4.83 (Or (Eq (eats a_fox a) True) 4.66/4.83 (Or (Eq True False) 4.66/4.83 (Or (Eq (msmaller a_bird a_fox) False) 4.66/4.83 (Or (Eq (eats a_fox a_bird) True) (Or (Eq (plant a_grain) False) (Eq (plant a) False)))))) 4.66/4.83 Clause #238 (by superposition #[234, 51]): Or (Eq (eats a_bird a_snail) True) 4.66/4.83 (Or (Eq True False) (Or (Eq (eats a_fox a_bird) False) (Or (Eq (animal a_bird) False) (Eq (grain a_grain) False)))) 4.66/4.83 Clause #268 (by clausification #[238]): Or (Eq (eats a_bird a_snail) True) 4.66/4.83 (Or (Eq (eats a_fox a_bird) False) (Or (Eq (animal a_bird) False) (Eq (grain a_grain) False))) 4.66/4.83 Clause #269 (by forward demodulation #[268, 178]): Or (Eq (eats a_bird a_snail) True) (Or (Eq (eats a_fox a_bird) False) (Or (Eq True False) (Eq (grain a_grain) False))) 4.66/4.83 Clause #270 (by clausification #[269]): Or (Eq (eats a_bird a_snail) True) (Or (Eq (eats a_fox a_bird) False) (Eq (grain a_grain) False)) 4.66/4.83 Clause #271 (by forward demodulation #[270, 129]): Or (Eq (eats a_bird a_snail) True) (Or (Eq (eats a_fox a_bird) False) (Eq True False)) 4.66/4.83 Clause #272 (by clausification #[271]): Or (Eq (eats a_bird a_snail) True) (Eq (eats a_fox a_bird) False) 4.66/4.83 Clause #303 (by clausification #[236]): ∀ (a : Iota), 4.66/4.83 Or (Eq (eats a_bird a_snail) True) 4.66/4.83 (Or (Eq (eats a_fox a) True) 4.66/4.83 (Or (Eq (msmaller a_bird a_fox) False) 4.66/4.83 (Or (Eq (eats a_fox a_bird) True) (Or (Eq (plant a_grain) False) (Eq (plant a) False))))) 4.66/4.83 Clause #304 (by forward demodulation #[303, 133]): ∀ (a : Iota), 4.66/4.83 Or (Eq (eats a_bird a_snail) True) 4.66/4.83 (Or (Eq (eats a_fox a) True) 4.66/4.83 (Or (Eq (msmaller a_bird a_fox) False) 4.66/4.83 (Or (Eq (eats a_fox a_bird) True) (Or (Eq True False) (Eq (plant a) False))))) 4.66/4.83 Clause #305 (by clausification #[304]): ∀ (a : Iota), 4.66/4.83 Or (Eq (eats a_bird a_snail) True) 4.66/4.83 (Or (Eq (eats a_fox a) True) 4.66/4.83 (Or (Eq (msmaller a_bird a_fox) False) (Or (Eq (eats a_fox a_bird) True) (Eq (plant a) False)))) 4.66/4.83 Clause #306 (by superposition #[305, 153]): ∀ (a : Iota), 4.66/4.83 Or (Eq (eats a_bird a_snail) True) 4.66/4.83 (Or (Eq (eats a_fox a) True) (Or (Eq (eats a_fox a_bird) True) (Or (Eq (plant a) False) (Eq False True)))) 4.66/4.83 Clause #308 (by clausification #[306]): ∀ (a : Iota), 4.66/4.83 Or (Eq (eats a_bird a_snail) True) 4.66/4.83 (Or (Eq (eats a_fox a) True) (Or (Eq (eats a_fox a_bird) True) (Eq (plant a) False))) 4.66/4.83 Clause #309 (by superposition #[308, 133]): Or (Eq (eats a_bird a_snail) True) 4.66/4.83 (Or (Eq (eats a_fox a_grain) True) (Or (Eq (eats a_fox a_bird) True) (Eq False True))) 4.66/4.83 Clause #311 (by clausification #[309]): Or (Eq (eats a_bird a_snail) True) (Or (Eq (eats a_fox a_grain) True) (Eq (eats a_fox a_bird) True)) 4.66/4.83 Clause #313 (by superposition #[311, 150]): Or (Eq (eats a_fox a_grain) True) (Or (Eq (eats a_fox a_bird) True) (Or (Eq True False) (Eq (snail a_snail) False))) 4.66/4.83 Clause #322 (by clausification #[313]): Or (Eq (eats a_fox a_grain) True) (Or (Eq (eats a_fox a_bird) True) (Eq (snail a_snail) False)) 4.66/4.83 Clause #323 (by forward demodulation #[322, 135]): Or (Eq (eats a_fox a_grain) True) (Or (Eq (eats a_fox a_bird) True) (Eq True False)) 4.66/4.83 Clause #324 (by clausification #[323]): Or (Eq (eats a_fox a_grain) True) (Eq (eats a_fox a_bird) True) 4.66/4.83 Clause #344 (by clausification #[223]): ∀ (a a_1 : Iota), 4.66/4.83 Or (Eq (eats a_wolf a) True) 4.66/4.83 (Or (Eq (eats a_fox a_1) False) 4.66/4.83 (Or (Eq (msmaller a_fox a_wolf) False) 4.66/4.83 (Or (Eq (eats a_wolf a_fox) True) (Or (Eq (plant a_1) False) (Eq (plant a) False))))) 4.66/4.83 Clause #345 (by forward demodulation #[344, 85]): ∀ (a a_1 : Iota), 4.66/4.83 Or (Eq (eats a_wolf a) True) 4.66/4.84 (Or (Eq (eats a_fox a_1) False) 4.66/4.84 (Or (Eq (msmaller a_fox a_wolf) False) (Or (Eq False True) (Or (Eq (plant a_1) False) (Eq (plant a) False))))) 4.66/4.84 Clause #346 (by clausification #[345]): ∀ (a a_1 : Iota), 4.66/4.84 Or (Eq (eats a_wolf a) True) 4.66/4.84 (Or (Eq (eats a_fox a_1) False) 4.66/4.84 (Or (Eq (msmaller a_fox a_wolf) False) (Or (Eq (plant a_1) False) (Eq (plant a) False)))) 4.66/4.84 Clause #347 (by superposition #[346, 324]): ∀ (a : Iota), 4.66/4.84 Or (Eq (eats a_wolf a) True) 4.66/4.84 (Or (Eq (msmaller a_fox a_wolf) False) 4.66/4.84 (Or (Eq (plant a_grain) False) (Or (Eq (plant a) False) (Or (Eq False True) (Eq (eats a_fox a_bird) True))))) 4.66/4.84 Clause #401 (by clausification #[347]): ∀ (a : Iota), 4.66/4.84 Or (Eq (eats a_wolf a) True) 4.66/4.84 (Or (Eq (msmaller a_fox a_wolf) False) 4.66/4.84 (Or (Eq (plant a_grain) False) (Or (Eq (plant a) False) (Eq (eats a_fox a_bird) True)))) 4.66/4.84 Clause #402 (by forward demodulation #[401, 133]): ∀ (a : Iota), 4.66/4.84 Or (Eq (eats a_wolf a) True) 4.66/4.84 (Or (Eq (msmaller a_fox a_wolf) False) (Or (Eq True False) (Or (Eq (plant a) False) (Eq (eats a_fox a_bird) True)))) 4.66/4.84 Clause #403 (by clausification #[402]): ∀ (a : Iota), 4.66/4.84 Or (Eq (eats a_wolf a) True) 4.66/4.84 (Or (Eq (msmaller a_fox a_wolf) False) (Or (Eq (plant a) False) (Eq (eats a_fox a_bird) True))) 4.66/4.84 Clause #404 (by superposition #[403, 105]): ∀ (a : Iota), Or (Eq (eats a_wolf a) True) (Or (Eq (plant a) False) (Or (Eq (eats a_fox a_bird) True) (Eq False True))) 4.66/4.84 Clause #406 (by clausification #[404]): ∀ (a : Iota), Or (Eq (eats a_wolf a) True) (Or (Eq (plant a) False) (Eq (eats a_fox a_bird) True)) 4.66/4.84 Clause #407 (by superposition #[406, 133]): Or (Eq (eats a_wolf a_grain) True) (Or (Eq (eats a_fox a_bird) True) (Eq False True)) 4.66/4.84 Clause #409 (by clausification #[407]): Or (Eq (eats a_wolf a_grain) True) (Eq (eats a_fox a_bird) True) 4.66/4.84 Clause #410 (by forward demodulation #[409, 134]): Or (Eq False True) (Eq (eats a_fox a_bird) True) 4.66/4.84 Clause #411 (by clausification #[410]): Eq (eats a_fox a_bird) True 4.66/4.84 Clause #413 (by backward demodulation #[411, 272]): Or (Eq (eats a_bird a_snail) True) (Eq True False) 4.66/4.84 Clause #430 (by clausification #[413]): Eq (eats a_bird a_snail) True 4.66/4.84 Clause #438 (by superposition #[430, 150]): Or (Eq True False) (Eq (snail a_snail) False) 4.66/4.84 Clause #446 (by clausification #[438]): Eq (snail a_snail) False 4.66/4.84 Clause #447 (by superposition #[446, 135]): Eq False True 4.66/4.84 Clause #448 (by clausification #[447]): False 4.66/4.84 SZS output end Proof for theBenchmark.p 4.66/4.85 EOF