0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : duper %s 0.13/0.34 % Computer : n020.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 0.13/0.35 % CPULimit : 1440 0.13/0.35 % WCLimit : 180 0.13/0.35 % DateTime : Mon Jul 3 04:07:31 EDT 2023 0.13/0.35 % CPUTime : 4.76/4.94 SZS status Theorem for theBenchmark.p 4.76/4.94 SZS output start Proof for theBenchmark.p 4.76/4.94 Clause #0 (by assumption #[]): Eq 4.76/4.94 (Not 4.76/4.94 (Not 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) 4.76/4.94 (∀ (X : Iota), Or (Not (bird X)) (animal X))) 4.76/4.94 (∀ (X : Iota), Or (animal X) (Not (caterpillar X)))) 4.76/4.94 (wolf a_wolf)) 4.76/4.94 (fox a_fox)) 4.76/4.94 (bird a_bird)) 4.76/4.94 (caterpillar a_caterpillar)) 4.76/4.94 (∀ (A P S O : Iota), 4.76/4.94 Or 4.76/4.94 (Or 4.76/4.94 (Or 4.76/4.94 (Or 4.76/4.94 (Or (Or (Or (eats A S) (Not (plant P))) (Not (animal S))) 4.76/4.94 (Not (plant O))) 4.76/4.94 (Not (msmaller S A))) 4.76/4.94 (Not (eats S O))) 4.76/4.94 (Not (animal A))) 4.76/4.94 (eats A P))) 4.76/4.94 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.76/4.94 (∀ (F W : Iota), Or (Or (Not (eats W F)) (Not (fox F))) (Not (wolf W)))) 4.76/4.94 (∀ (W G : Iota), Or (Or (Not (eats W G)) (Not (grain G))) (Not (wolf W)))) 4.76/4.94 (∀ (B C : Iota), Or (Or (eats B C) (Not (bird B))) (Not (caterpillar C)))) 4.76/4.94 (∀ (C : Iota), Or (eats C (cf C)) (Not (caterpillar C)))) 4.76/4.94 (∀ (S : Iota), Or (plant (sf S)) (Not (snail S)))) 4.76/4.94 (∀ (A E G : Iota), 4.76/4.94 Or (Or (Or (Or (Not (animal A)) (Not (eats E G))) (Not (eats A E))) (Not (grain G))) 4.76/4.94 (Not (animal E)))) 4.76/4.94 (∀ (S : Iota), Or (Not (snail S)) (eats S (sf S)))) 4.76/4.94 (∀ (C : Iota), Or (plant (cf C)) (Not (caterpillar C)))) 4.76/4.94 (∀ (B S : Iota), Or (Or (Not (bird B)) (Not (snail S))) (Not (eats B S)))) 4.76/4.94 (∀ (F W : Iota), Or (Or (Not (wolf W)) (Not (fox F))) (msmaller F W))) 4.76/4.94 (∀ (B F : Iota), Or (Or (msmaller B F) (Not (bird B))) (Not (fox F)))) 4.76/4.94 (∀ (C B : Iota), Or (Or (msmaller C B) (Not (bird B))) (Not (caterpillar C)))) 4.76/4.94 (∀ (X : Iota), Or (plant X) (Not (grain X)))) 4.76/4.94 (grain a_grain)) 4.76/4.94 (snail a_snail)) 4.76/4.94 (∀ (X : Iota), Or (animal X) (Not (snail X)))) 4.76/4.94 (∀ (X : Iota), Or (Not (fox X)) (animal X))))) 4.76/4.94 True 4.76/4.94 Clause #1 (by clausification #[0]): Eq 4.76/4.94 (Not 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.76/4.94 (And 4.80/4.95 (And 4.80/4.95 (And 4.80/4.95 (And 4.80/4.95 (And 4.80/4.95 (And 4.80/4.95 (And 4.80/4.95 (And 4.80/4.95 (And 4.80/4.95 (And 4.80/4.95 (And 4.80/4.95 (And 4.80/4.95 (And 4.80/4.95 (And 4.80/4.95 (And 4.80/4.95 (And 4.80/4.95 (And 4.80/4.95 (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) 4.80/4.95 (∀ (X : Iota), Or (Not (bird X)) (animal X))) 4.80/4.95 (∀ (X : Iota), Or (animal X) (Not (caterpillar X)))) 4.80/4.95 (wolf a_wolf)) 4.80/4.96 (fox a_fox)) 4.80/4.96 (bird a_bird)) 4.80/4.96 (caterpillar a_caterpillar)) 4.80/4.96 (∀ (A P S O : Iota), 4.80/4.96 Or 4.80/4.96 (Or 4.80/4.96 (Or 4.80/4.96 (Or 4.80/4.96 (Or (Or (Or (eats A S) (Not (plant P))) (Not (animal S))) 4.80/4.96 (Not (plant O))) 4.80/4.96 (Not (msmaller S A))) 4.80/4.96 (Not (eats S O))) 4.80/4.96 (Not (animal A))) 4.80/4.96 (eats A P))) 4.80/4.96 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.80/4.96 (∀ (F W : Iota), Or (Or (Not (eats W F)) (Not (fox F))) (Not (wolf W)))) 4.80/4.96 (∀ (W G : Iota), Or (Or (Not (eats W G)) (Not (grain G))) (Not (wolf W)))) 4.80/4.96 (∀ (B C : Iota), Or (Or (eats B C) (Not (bird B))) (Not (caterpillar C)))) 4.80/4.96 (∀ (C : Iota), Or (eats C (cf C)) (Not (caterpillar C)))) 4.80/4.96 (∀ (S : Iota), Or (plant (sf S)) (Not (snail S)))) 4.80/4.96 (∀ (A E G : Iota), 4.80/4.96 Or (Or (Or (Or (Not (animal A)) (Not (eats E G))) (Not (eats A E))) (Not (grain G))) 4.80/4.96 (Not (animal E)))) 4.80/4.96 (∀ (S : Iota), Or (Not (snail S)) (eats S (sf S)))) 4.80/4.96 (∀ (C : Iota), Or (plant (cf C)) (Not (caterpillar C)))) 4.80/4.96 (∀ (B S : Iota), Or (Or (Not (bird B)) (Not (snail S))) (Not (eats B S)))) 4.80/4.96 (∀ (F W : Iota), Or (Or (Not (wolf W)) (Not (fox F))) (msmaller F W))) 4.80/4.96 (∀ (B F : Iota), Or (Or (msmaller B F) (Not (bird B))) (Not (fox F)))) 4.80/4.96 (∀ (C B : Iota), Or (Or (msmaller C B) (Not (bird B))) (Not (caterpillar C)))) 4.80/4.96 (∀ (X : Iota), Or (plant X) (Not (grain X)))) 4.80/4.96 (grain a_grain)) 4.80/4.96 (snail a_snail)) 4.80/4.96 (∀ (X : Iota), Or (animal X) (Not (snail X)))) 4.80/4.96 (∀ (X : Iota), Or (Not (fox X)) (animal X)))) 4.80/4.96 False 4.80/4.96 Clause #2 (by clausification #[1]): Eq 4.80/4.96 (And 4.80/4.96 (And 4.80/4.96 (And 4.80/4.96 (And 4.80/4.96 (And 4.80/4.96 (And 4.80/4.96 (And 4.80/4.96 (And 4.80/4.96 (And 4.80/4.96 (And 4.80/4.96 (And 4.80/4.96 (And 4.80/4.96 (And 4.80/4.96 (And 4.80/4.96 (And 4.80/4.96 (And 4.80/4.96 (And 4.80/4.96 (And 4.80/4.96 (And 4.80/4.96 (And 4.80/4.97 (And 4.80/4.97 (And 4.80/4.97 (And 4.80/4.97 (And 4.80/4.97 (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) 4.80/4.97 (∀ (X : Iota), Or (Not (bird X)) (animal X))) 4.80/4.97 (∀ (X : Iota), Or (animal X) (Not (caterpillar X)))) 4.80/4.97 (wolf a_wolf)) 4.80/4.97 (fox a_fox)) 4.80/4.97 (bird a_bird)) 4.80/4.97 (caterpillar a_caterpillar)) 4.80/4.97 (∀ (A P S O : Iota), 4.80/4.97 Or 4.80/4.97 (Or 4.80/4.97 (Or 4.80/4.97 (Or 4.80/4.97 (Or (Or (Or (eats A S) (Not (plant P))) (Not (animal S))) 4.80/4.97 (Not (plant O))) 4.80/4.97 (Not (msmaller S A))) 4.80/4.97 (Not (eats S O))) 4.80/4.97 (Not (animal A))) 4.80/4.97 (eats A P))) 4.80/4.97 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.80/4.97 (∀ (F W : Iota), Or (Or (Not (eats W F)) (Not (fox F))) (Not (wolf W)))) 4.80/4.97 (∀ (W G : Iota), Or (Or (Not (eats W G)) (Not (grain G))) (Not (wolf W)))) 4.80/4.97 (∀ (B C : Iota), Or (Or (eats B C) (Not (bird B))) (Not (caterpillar C)))) 4.80/4.97 (∀ (C : Iota), Or (eats C (cf C)) (Not (caterpillar C)))) 4.80/4.97 (∀ (S : Iota), Or (plant (sf S)) (Not (snail S)))) 4.80/4.97 (∀ (A E G : Iota), 4.80/4.97 Or (Or (Or (Or (Not (animal A)) (Not (eats E G))) (Not (eats A E))) (Not (grain G))) 4.80/4.97 (Not (animal E)))) 4.80/4.97 (∀ (S : Iota), Or (Not (snail S)) (eats S (sf S)))) 4.80/4.97 (∀ (C : Iota), Or (plant (cf C)) (Not (caterpillar C)))) 4.80/4.97 (∀ (B S : Iota), Or (Or (Not (bird B)) (Not (snail S))) (Not (eats B S)))) 4.80/4.97 (∀ (F W : Iota), Or (Or (Not (wolf W)) (Not (fox F))) (msmaller F W))) 4.80/4.97 (∀ (B F : Iota), Or (Or (msmaller B F) (Not (bird B))) (Not (fox F)))) 4.80/4.97 (∀ (C B : Iota), Or (Or (msmaller C B) (Not (bird B))) (Not (caterpillar C)))) 4.80/4.97 (∀ (X : Iota), Or (plant X) (Not (grain X)))) 4.80/4.97 (grain a_grain)) 4.80/4.97 (snail a_snail)) 4.80/4.97 (∀ (X : Iota), Or (animal X) (Not (snail X)))) 4.80/4.97 (∀ (X : Iota), Or (Not (fox X)) (animal X))) 4.80/4.97 True 4.80/4.97 Clause #3 (by clausification #[2]): Eq (∀ (X : Iota), Or (Not (fox X)) (animal X)) True 4.80/4.97 Clause #4 (by clausification #[2]): Eq 4.80/4.97 (And 4.80/4.97 (And 4.80/4.97 (And 4.80/4.97 (And 4.80/4.97 (And 4.80/4.97 (And 4.80/4.97 (And 4.80/4.97 (And 4.80/4.97 (And 4.80/4.97 (And 4.80/4.97 (And 4.80/4.97 (And 4.80/4.97 (And 4.80/4.97 (And 4.80/4.97 (And 4.80/4.97 (And 4.80/4.97 (And 4.80/4.97 (And 4.80/4.97 (And 4.80/4.97 (And 4.80/4.97 (And 4.80/4.97 (And 4.80/4.97 (And 4.80/4.97 (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) 4.80/4.97 (∀ (X : Iota), Or (Not (bird X)) (animal X))) 4.80/4.97 (∀ (X : Iota), Or (animal X) (Not (caterpillar X)))) 4.80/4.98 (wolf a_wolf)) 4.80/4.98 (fox a_fox)) 4.80/4.98 (bird a_bird)) 4.80/4.98 (caterpillar a_caterpillar)) 4.80/4.98 (∀ (A P S O : Iota), 4.80/4.98 Or 4.80/4.98 (Or 4.80/4.98 (Or 4.80/4.98 (Or 4.80/4.98 (Or (Or (Or (eats A S) (Not (plant P))) (Not (animal S))) 4.80/4.98 (Not (plant O))) 4.80/4.98 (Not (msmaller S A))) 4.80/4.98 (Not (eats S O))) 4.80/4.98 (Not (animal A))) 4.80/4.98 (eats A P))) 4.80/4.98 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.80/4.98 (∀ (F W : Iota), Or (Or (Not (eats W F)) (Not (fox F))) (Not (wolf W)))) 4.80/4.98 (∀ (W G : Iota), Or (Or (Not (eats W G)) (Not (grain G))) (Not (wolf W)))) 4.80/4.98 (∀ (B C : Iota), Or (Or (eats B C) (Not (bird B))) (Not (caterpillar C)))) 4.80/4.98 (∀ (C : Iota), Or (eats C (cf C)) (Not (caterpillar C)))) 4.80/4.98 (∀ (S : Iota), Or (plant (sf S)) (Not (snail S)))) 4.80/4.98 (∀ (A E G : Iota), 4.80/4.98 Or (Or (Or (Or (Not (animal A)) (Not (eats E G))) (Not (eats A E))) (Not (grain G))) 4.80/4.98 (Not (animal E)))) 4.80/4.98 (∀ (S : Iota), Or (Not (snail S)) (eats S (sf S)))) 4.80/4.98 (∀ (C : Iota), Or (plant (cf C)) (Not (caterpillar C)))) 4.80/4.98 (∀ (B S : Iota), Or (Or (Not (bird B)) (Not (snail S))) (Not (eats B S)))) 4.80/4.98 (∀ (F W : Iota), Or (Or (Not (wolf W)) (Not (fox F))) (msmaller F W))) 4.80/4.98 (∀ (B F : Iota), Or (Or (msmaller B F) (Not (bird B))) (Not (fox F)))) 4.80/4.98 (∀ (C B : Iota), Or (Or (msmaller C B) (Not (bird B))) (Not (caterpillar C)))) 4.80/4.98 (∀ (X : Iota), Or (plant X) (Not (grain X)))) 4.80/4.98 (grain a_grain)) 4.80/4.98 (snail a_snail)) 4.80/4.98 (∀ (X : Iota), Or (animal X) (Not (snail X)))) 4.80/4.98 True 4.80/4.98 Clause #5 (by clausification #[3]): ∀ (a : Iota), Eq (Or (Not (fox a)) (animal a)) True 4.80/4.98 Clause #6 (by clausification #[5]): ∀ (a : Iota), Or (Eq (Not (fox a)) True) (Eq (animal a) True) 4.80/4.98 Clause #7 (by clausification #[6]): ∀ (a : Iota), Or (Eq (animal a) True) (Eq (fox a) False) 4.80/4.98 Clause #8 (by clausification #[4]): Eq (∀ (X : Iota), Or (animal X) (Not (snail X))) True 4.80/4.98 Clause #9 (by clausification #[4]): Eq 4.80/4.98 (And 4.80/4.98 (And 4.80/4.98 (And 4.80/4.98 (And 4.80/4.98 (And 4.80/4.98 (And 4.80/4.98 (And 4.80/4.98 (And 4.80/4.98 (And 4.80/4.98 (And 4.80/4.98 (And 4.80/4.98 (And 4.80/4.98 (And 4.80/4.98 (And 4.80/4.98 (And 4.80/4.98 (And 4.80/4.98 (And 4.80/4.98 (And 4.80/4.98 (And 4.80/4.98 (And 4.80/4.98 (And 4.80/4.98 (And 4.80/4.98 (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) 4.80/4.98 (∀ (X : Iota), Or (Not (bird X)) (animal X))) 4.80/4.98 (∀ (X : Iota), Or (animal X) (Not (caterpillar X)))) 4.80/4.98 (wolf a_wolf)) 4.80/4.98 (fox a_fox)) 4.80/4.98 (bird a_bird)) 4.80/4.98 (caterpillar a_caterpillar)) 4.80/4.98 (∀ (A P S O : Iota), 4.80/4.98 Or 4.80/5.00 (Or 4.80/5.00 (Or 4.80/5.00 (Or 4.80/5.00 (Or (Or (Or (eats A S) (Not (plant P))) (Not (animal S))) (Not (plant O))) 4.80/5.00 (Not (msmaller S A))) 4.80/5.00 (Not (eats S O))) 4.80/5.00 (Not (animal A))) 4.80/5.00 (eats A P))) 4.80/5.00 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.80/5.00 (∀ (F W : Iota), Or (Or (Not (eats W F)) (Not (fox F))) (Not (wolf W)))) 4.80/5.00 (∀ (W G : Iota), Or (Or (Not (eats W G)) (Not (grain G))) (Not (wolf W)))) 4.80/5.00 (∀ (B C : Iota), Or (Or (eats B C) (Not (bird B))) (Not (caterpillar C)))) 4.80/5.00 (∀ (C : Iota), Or (eats C (cf C)) (Not (caterpillar C)))) 4.80/5.00 (∀ (S : Iota), Or (plant (sf S)) (Not (snail S)))) 4.80/5.00 (∀ (A E G : Iota), 4.80/5.00 Or (Or (Or (Or (Not (animal A)) (Not (eats E G))) (Not (eats A E))) (Not (grain G))) 4.80/5.00 (Not (animal E)))) 4.80/5.00 (∀ (S : Iota), Or (Not (snail S)) (eats S (sf S)))) 4.80/5.00 (∀ (C : Iota), Or (plant (cf C)) (Not (caterpillar C)))) 4.80/5.00 (∀ (B S : Iota), Or (Or (Not (bird B)) (Not (snail S))) (Not (eats B S)))) 4.80/5.00 (∀ (F W : Iota), Or (Or (Not (wolf W)) (Not (fox F))) (msmaller F W))) 4.80/5.00 (∀ (B F : Iota), Or (Or (msmaller B F) (Not (bird B))) (Not (fox F)))) 4.80/5.00 (∀ (C B : Iota), Or (Or (msmaller C B) (Not (bird B))) (Not (caterpillar C)))) 4.80/5.00 (∀ (X : Iota), Or (plant X) (Not (grain X)))) 4.80/5.00 (grain a_grain)) 4.80/5.00 (snail a_snail)) 4.80/5.00 True 4.80/5.00 Clause #10 (by clausification #[8]): ∀ (a : Iota), Eq (Or (animal a) (Not (snail a))) True 4.80/5.00 Clause #11 (by clausification #[10]): ∀ (a : Iota), Or (Eq (animal a) True) (Eq (Not (snail a)) True) 4.80/5.00 Clause #12 (by clausification #[11]): ∀ (a : Iota), Or (Eq (animal a) True) (Eq (snail a) False) 4.80/5.00 Clause #13 (by clausification #[9]): Eq (snail a_snail) True 4.80/5.00 Clause #14 (by clausification #[9]): Eq 4.80/5.00 (And 4.80/5.00 (And 4.80/5.00 (And 4.80/5.00 (And 4.80/5.00 (And 4.80/5.00 (And 4.80/5.00 (And 4.80/5.00 (And 4.80/5.00 (And 4.80/5.00 (And 4.80/5.00 (And 4.80/5.00 (And 4.80/5.00 (And 4.80/5.00 (And 4.80/5.00 (And 4.80/5.00 (And 4.80/5.00 (And 4.80/5.00 (And 4.80/5.00 (And 4.80/5.00 (And 4.80/5.00 (And 4.80/5.00 (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) 4.80/5.00 (∀ (X : Iota), Or (Not (bird X)) (animal X))) 4.80/5.00 (∀ (X : Iota), Or (animal X) (Not (caterpillar X)))) 4.80/5.00 (wolf a_wolf)) 4.80/5.00 (fox a_fox)) 4.80/5.00 (bird a_bird)) 4.80/5.00 (caterpillar a_caterpillar)) 4.80/5.00 (∀ (A P S O : Iota), 4.80/5.00 Or 4.80/5.00 (Or 4.80/5.00 (Or 4.80/5.00 (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (animal S))) (Not (plant O))) 4.80/5.00 (Not (msmaller S A))) 4.80/5.00 (Not (eats S O))) 4.80/5.00 (Not (animal A))) 4.80/5.00 (eats A P))) 4.80/5.00 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.80/5.00 (∀ (F W : Iota), Or (Or (Not (eats W F)) (Not (fox F))) (Not (wolf W)))) 4.80/5.01 (∀ (W G : Iota), Or (Or (Not (eats W G)) (Not (grain G))) (Not (wolf W)))) 4.80/5.01 (∀ (B C : Iota), Or (Or (eats B C) (Not (bird B))) (Not (caterpillar C)))) 4.80/5.01 (∀ (C : Iota), Or (eats C (cf C)) (Not (caterpillar C)))) 4.80/5.01 (∀ (S : Iota), Or (plant (sf S)) (Not (snail S)))) 4.80/5.01 (∀ (A E G : Iota), 4.80/5.01 Or (Or (Or (Or (Not (animal A)) (Not (eats E G))) (Not (eats A E))) (Not (grain G))) 4.80/5.01 (Not (animal E)))) 4.80/5.01 (∀ (S : Iota), Or (Not (snail S)) (eats S (sf S)))) 4.80/5.01 (∀ (C : Iota), Or (plant (cf C)) (Not (caterpillar C)))) 4.80/5.01 (∀ (B S : Iota), Or (Or (Not (bird B)) (Not (snail S))) (Not (eats B S)))) 4.80/5.01 (∀ (F W : Iota), Or (Or (Not (wolf W)) (Not (fox F))) (msmaller F W))) 4.80/5.01 (∀ (B F : Iota), Or (Or (msmaller B F) (Not (bird B))) (Not (fox F)))) 4.80/5.01 (∀ (C B : Iota), Or (Or (msmaller C B) (Not (bird B))) (Not (caterpillar C)))) 4.80/5.01 (∀ (X : Iota), Or (plant X) (Not (grain X)))) 4.80/5.01 (grain a_grain)) 4.80/5.01 True 4.80/5.01 Clause #15 (by superposition #[13, 12]): Or (Eq (animal a_snail) True) (Eq True False) 4.80/5.01 Clause #16 (by clausification #[15]): Eq (animal a_snail) True 4.80/5.01 Clause #17 (by clausification #[14]): Eq (grain a_grain) True 4.80/5.01 Clause #18 (by clausification #[14]): Eq 4.80/5.01 (And 4.80/5.01 (And 4.80/5.01 (And 4.80/5.01 (And 4.80/5.01 (And 4.80/5.01 (And 4.80/5.01 (And 4.80/5.01 (And 4.80/5.01 (And 4.80/5.01 (And 4.80/5.01 (And 4.80/5.01 (And 4.80/5.01 (And 4.80/5.01 (And 4.80/5.01 (And 4.80/5.01 (And 4.80/5.01 (And 4.80/5.01 (And 4.80/5.01 (And 4.80/5.01 (And 4.80/5.01 (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) 4.80/5.01 (∀ (X : Iota), Or (Not (bird X)) (animal X))) 4.80/5.01 (∀ (X : Iota), Or (animal X) (Not (caterpillar X)))) 4.80/5.01 (wolf a_wolf)) 4.80/5.01 (fox a_fox)) 4.80/5.01 (bird a_bird)) 4.80/5.01 (caterpillar a_caterpillar)) 4.80/5.01 (∀ (A P S O : Iota), 4.80/5.01 Or 4.80/5.01 (Or 4.80/5.01 (Or 4.80/5.01 (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (animal S))) (Not (plant O))) 4.80/5.01 (Not (msmaller S A))) 4.80/5.01 (Not (eats S O))) 4.80/5.01 (Not (animal A))) 4.80/5.01 (eats A P))) 4.80/5.01 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.80/5.01 (∀ (F W : Iota), Or (Or (Not (eats W F)) (Not (fox F))) (Not (wolf W)))) 4.80/5.01 (∀ (W G : Iota), Or (Or (Not (eats W G)) (Not (grain G))) (Not (wolf W)))) 4.80/5.01 (∀ (B C : Iota), Or (Or (eats B C) (Not (bird B))) (Not (caterpillar C)))) 4.80/5.01 (∀ (C : Iota), Or (eats C (cf C)) (Not (caterpillar C)))) 4.80/5.01 (∀ (S : Iota), Or (plant (sf S)) (Not (snail S)))) 4.80/5.01 (∀ (A E G : Iota), 4.80/5.01 Or (Or (Or (Or (Not (animal A)) (Not (eats E G))) (Not (eats A E))) (Not (grain G))) 4.80/5.01 (Not (animal E)))) 4.80/5.01 (∀ (S : Iota), Or (Not (snail S)) (eats S (sf S)))) 4.80/5.01 (∀ (C : Iota), Or (plant (cf C)) (Not (caterpillar C)))) 4.80/5.01 (∀ (B S : Iota), Or (Or (Not (bird B)) (Not (snail S))) (Not (eats B S)))) 4.80/5.01 (∀ (F W : Iota), Or (Or (Not (wolf W)) (Not (fox F))) (msmaller F W))) 4.80/5.01 (∀ (B F : Iota), Or (Or (msmaller B F) (Not (bird B))) (Not (fox F)))) 4.80/5.03 (∀ (C B : Iota), Or (Or (msmaller C B) (Not (bird B))) (Not (caterpillar C)))) 4.80/5.03 (∀ (X : Iota), Or (plant X) (Not (grain X)))) 4.80/5.03 True 4.80/5.03 Clause #19 (by clausification #[18]): Eq (∀ (X : Iota), Or (plant X) (Not (grain X))) True 4.80/5.03 Clause #20 (by clausification #[18]): Eq 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) 4.80/5.03 (∀ (X : Iota), Or (Not (bird X)) (animal X))) 4.80/5.03 (∀ (X : Iota), Or (animal X) (Not (caterpillar X)))) 4.80/5.03 (wolf a_wolf)) 4.80/5.03 (fox a_fox)) 4.80/5.03 (bird a_bird)) 4.80/5.03 (caterpillar a_caterpillar)) 4.80/5.03 (∀ (A P S O : Iota), 4.80/5.03 Or 4.80/5.03 (Or 4.80/5.03 (Or 4.80/5.03 (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (animal S))) (Not (plant O))) 4.80/5.03 (Not (msmaller S A))) 4.80/5.03 (Not (eats S O))) 4.80/5.03 (Not (animal A))) 4.80/5.03 (eats A P))) 4.80/5.03 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.80/5.03 (∀ (F W : Iota), Or (Or (Not (eats W F)) (Not (fox F))) (Not (wolf W)))) 4.80/5.03 (∀ (W G : Iota), Or (Or (Not (eats W G)) (Not (grain G))) (Not (wolf W)))) 4.80/5.03 (∀ (B C : Iota), Or (Or (eats B C) (Not (bird B))) (Not (caterpillar C)))) 4.80/5.03 (∀ (C : Iota), Or (eats C (cf C)) (Not (caterpillar C)))) 4.80/5.03 (∀ (S : Iota), Or (plant (sf S)) (Not (snail S)))) 4.80/5.03 (∀ (A E G : Iota), 4.80/5.03 Or (Or (Or (Or (Not (animal A)) (Not (eats E G))) (Not (eats A E))) (Not (grain G))) 4.80/5.03 (Not (animal E)))) 4.80/5.03 (∀ (S : Iota), Or (Not (snail S)) (eats S (sf S)))) 4.80/5.03 (∀ (C : Iota), Or (plant (cf C)) (Not (caterpillar C)))) 4.80/5.03 (∀ (B S : Iota), Or (Or (Not (bird B)) (Not (snail S))) (Not (eats B S)))) 4.80/5.03 (∀ (F W : Iota), Or (Or (Not (wolf W)) (Not (fox F))) (msmaller F W))) 4.80/5.03 (∀ (B F : Iota), Or (Or (msmaller B F) (Not (bird B))) (Not (fox F)))) 4.80/5.03 (∀ (C B : Iota), Or (Or (msmaller C B) (Not (bird B))) (Not (caterpillar C)))) 4.80/5.03 True 4.80/5.03 Clause #21 (by clausification #[19]): ∀ (a : Iota), Eq (Or (plant a) (Not (grain a))) True 4.80/5.03 Clause #22 (by clausification #[21]): ∀ (a : Iota), Or (Eq (plant a) True) (Eq (Not (grain a)) True) 4.80/5.03 Clause #23 (by clausification #[22]): ∀ (a : Iota), Or (Eq (plant a) True) (Eq (grain a) False) 4.80/5.03 Clause #24 (by superposition #[23, 17]): Or (Eq (plant a_grain) True) (Eq False True) 4.80/5.03 Clause #25 (by clausification #[24]): Eq (plant a_grain) True 4.80/5.03 Clause #27 (by clausification #[20]): Eq 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And 4.80/5.03 (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) 4.80/5.03 (∀ (X : Iota), Or (Not (bird X)) (animal X))) 4.89/5.04 (∀ (X : Iota), Or (animal X) (Not (caterpillar X)))) 4.89/5.04 (wolf a_wolf)) 4.89/5.04 (fox a_fox)) 4.89/5.04 (bird a_bird)) 4.89/5.04 (caterpillar a_caterpillar)) 4.89/5.04 (∀ (A P S O : Iota), 4.89/5.04 Or 4.89/5.04 (Or 4.89/5.04 (Or 4.89/5.04 (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (animal S))) (Not (plant O))) 4.89/5.04 (Not (msmaller S A))) 4.89/5.04 (Not (eats S O))) 4.89/5.04 (Not (animal A))) 4.89/5.04 (eats A P))) 4.89/5.04 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.89/5.04 (∀ (F W : Iota), Or (Or (Not (eats W F)) (Not (fox F))) (Not (wolf W)))) 4.89/5.04 (∀ (W G : Iota), Or (Or (Not (eats W G)) (Not (grain G))) (Not (wolf W)))) 4.89/5.04 (∀ (B C : Iota), Or (Or (eats B C) (Not (bird B))) (Not (caterpillar C)))) 4.89/5.04 (∀ (C : Iota), Or (eats C (cf C)) (Not (caterpillar C)))) 4.89/5.04 (∀ (S : Iota), Or (plant (sf S)) (Not (snail S)))) 4.89/5.04 (∀ (A E G : Iota), 4.89/5.04 Or (Or (Or (Or (Not (animal A)) (Not (eats E G))) (Not (eats A E))) (Not (grain G))) (Not (animal E)))) 4.89/5.04 (∀ (S : Iota), Or (Not (snail S)) (eats S (sf S)))) 4.89/5.04 (∀ (C : Iota), Or (plant (cf C)) (Not (caterpillar C)))) 4.89/5.04 (∀ (B S : Iota), Or (Or (Not (bird B)) (Not (snail S))) (Not (eats B S)))) 4.89/5.04 (∀ (F W : Iota), Or (Or (Not (wolf W)) (Not (fox F))) (msmaller F W))) 4.89/5.04 (∀ (B F : Iota), Or (Or (msmaller B F) (Not (bird B))) (Not (fox F)))) 4.89/5.04 True 4.89/5.04 Clause #34 (by clausification #[27]): Eq (∀ (B F : Iota), Or (Or (msmaller B F) (Not (bird B))) (Not (fox F))) True 4.89/5.04 Clause #35 (by clausification #[27]): Eq 4.89/5.04 (And 4.89/5.04 (And 4.89/5.04 (And 4.89/5.04 (And 4.89/5.04 (And 4.89/5.04 (And 4.89/5.04 (And 4.89/5.04 (And 4.89/5.04 (And 4.89/5.04 (And 4.89/5.04 (And 4.89/5.04 (And 4.89/5.04 (And 4.89/5.04 (And 4.89/5.04 (And 4.89/5.04 (And 4.89/5.04 (And 4.89/5.04 (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) 4.89/5.04 (∀ (X : Iota), Or (Not (bird X)) (animal X))) 4.89/5.04 (∀ (X : Iota), Or (animal X) (Not (caterpillar X)))) 4.89/5.04 (wolf a_wolf)) 4.89/5.04 (fox a_fox)) 4.89/5.04 (bird a_bird)) 4.89/5.04 (caterpillar a_caterpillar)) 4.89/5.04 (∀ (A P S O : Iota), 4.89/5.04 Or 4.89/5.04 (Or 4.89/5.04 (Or 4.89/5.04 (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (animal S))) (Not (plant O))) 4.89/5.04 (Not (msmaller S A))) 4.89/5.04 (Not (eats S O))) 4.89/5.04 (Not (animal A))) 4.89/5.04 (eats A P))) 4.89/5.04 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.89/5.04 (∀ (F W : Iota), Or (Or (Not (eats W F)) (Not (fox F))) (Not (wolf W)))) 4.89/5.04 (∀ (W G : Iota), Or (Or (Not (eats W G)) (Not (grain G))) (Not (wolf W)))) 4.89/5.04 (∀ (B C : Iota), Or (Or (eats B C) (Not (bird B))) (Not (caterpillar C)))) 4.89/5.04 (∀ (C : Iota), Or (eats C (cf C)) (Not (caterpillar C)))) 4.89/5.04 (∀ (S : Iota), Or (plant (sf S)) (Not (snail S)))) 4.89/5.04 (∀ (A E G : Iota), 4.89/5.04 Or (Or (Or (Or (Not (animal A)) (Not (eats E G))) (Not (eats A E))) (Not (grain G))) (Not (animal E)))) 4.89/5.04 (∀ (S : Iota), Or (Not (snail S)) (eats S (sf S)))) 4.89/5.04 (∀ (C : Iota), Or (plant (cf C)) (Not (caterpillar C)))) 4.89/5.06 (∀ (B S : Iota), Or (Or (Not (bird B)) (Not (snail S))) (Not (eats B S)))) 4.89/5.06 (∀ (F W : Iota), Or (Or (Not (wolf W)) (Not (fox F))) (msmaller F W))) 4.89/5.06 True 4.89/5.06 Clause #36 (by clausification #[34]): ∀ (a : Iota), Eq (∀ (F : Iota), Or (Or (msmaller a F) (Not (bird a))) (Not (fox F))) True 4.89/5.06 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota), Eq (Or (Or (msmaller a a_1) (Not (bird a))) (Not (fox a_1))) True 4.89/5.06 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota), Or (Eq (Or (msmaller a a_1) (Not (bird a))) True) (Eq (Not (fox a_1)) True) 4.89/5.06 Clause #39 (by clausification #[38]): ∀ (a a_1 : Iota), Or (Eq (Not (fox a)) True) (Or (Eq (msmaller a_1 a) True) (Eq (Not (bird a_1)) True)) 4.89/5.06 Clause #40 (by clausification #[39]): ∀ (a a_1 : Iota), Or (Eq (msmaller a a_1) True) (Or (Eq (Not (bird a)) True) (Eq (fox a_1) False)) 4.89/5.06 Clause #41 (by clausification #[40]): ∀ (a a_1 : Iota), Or (Eq (msmaller a a_1) True) (Or (Eq (fox a_1) False) (Eq (bird a) False)) 4.89/5.06 Clause #42 (by clausification #[35]): Eq (∀ (F W : Iota), Or (Or (Not (wolf W)) (Not (fox F))) (msmaller F W)) True 4.89/5.06 Clause #43 (by clausification #[35]): Eq 4.89/5.06 (And 4.89/5.06 (And 4.89/5.06 (And 4.89/5.06 (And 4.89/5.06 (And 4.89/5.06 (And 4.89/5.06 (And 4.89/5.06 (And 4.89/5.06 (And 4.89/5.06 (And 4.89/5.06 (And 4.89/5.06 (And 4.89/5.06 (And 4.89/5.06 (And 4.89/5.06 (And 4.89/5.06 (And 4.89/5.06 (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) 4.89/5.06 (∀ (X : Iota), Or (Not (bird X)) (animal X))) 4.89/5.06 (∀ (X : Iota), Or (animal X) (Not (caterpillar X)))) 4.89/5.06 (wolf a_wolf)) 4.89/5.06 (fox a_fox)) 4.89/5.06 (bird a_bird)) 4.89/5.06 (caterpillar a_caterpillar)) 4.89/5.06 (∀ (A P S O : Iota), 4.89/5.06 Or 4.89/5.06 (Or 4.89/5.06 (Or 4.89/5.06 (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (animal S))) (Not (plant O))) 4.89/5.06 (Not (msmaller S A))) 4.89/5.06 (Not (eats S O))) 4.89/5.06 (Not (animal A))) 4.89/5.06 (eats A P))) 4.89/5.06 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.89/5.06 (∀ (F W : Iota), Or (Or (Not (eats W F)) (Not (fox F))) (Not (wolf W)))) 4.89/5.06 (∀ (W G : Iota), Or (Or (Not (eats W G)) (Not (grain G))) (Not (wolf W)))) 4.89/5.06 (∀ (B C : Iota), Or (Or (eats B C) (Not (bird B))) (Not (caterpillar C)))) 4.89/5.06 (∀ (C : Iota), Or (eats C (cf C)) (Not (caterpillar C)))) 4.89/5.06 (∀ (S : Iota), Or (plant (sf S)) (Not (snail S)))) 4.89/5.06 (∀ (A E G : Iota), 4.89/5.06 Or (Or (Or (Or (Not (animal A)) (Not (eats E G))) (Not (eats A E))) (Not (grain G))) (Not (animal E)))) 4.89/5.06 (∀ (S : Iota), Or (Not (snail S)) (eats S (sf S)))) 4.89/5.06 (∀ (C : Iota), Or (plant (cf C)) (Not (caterpillar C)))) 4.89/5.06 (∀ (B S : Iota), Or (Or (Not (bird B)) (Not (snail S))) (Not (eats B S)))) 4.89/5.06 True 4.89/5.06 Clause #44 (by clausification #[42]): ∀ (a : Iota), Eq (∀ (W : Iota), Or (Or (Not (wolf W)) (Not (fox a))) (msmaller a W)) True 4.89/5.06 Clause #45 (by clausification #[44]): ∀ (a a_1 : Iota), Eq (Or (Or (Not (wolf a)) (Not (fox a_1))) (msmaller a_1 a)) True 4.89/5.06 Clause #46 (by clausification #[45]): ∀ (a a_1 : Iota), Or (Eq (Or (Not (wolf a)) (Not (fox a_1))) True) (Eq (msmaller a_1 a) True) 4.89/5.06 Clause #47 (by clausification #[46]): ∀ (a a_1 : Iota), Or (Eq (msmaller a a_1) True) (Or (Eq (Not (wolf a_1)) True) (Eq (Not (fox a)) True)) 4.89/5.06 Clause #48 (by clausification #[47]): ∀ (a a_1 : Iota), Or (Eq (msmaller a a_1) True) (Or (Eq (Not (fox a)) True) (Eq (wolf a_1) False)) 4.89/5.06 Clause #49 (by clausification #[48]): ∀ (a a_1 : Iota), Or (Eq (msmaller a a_1) True) (Or (Eq (wolf a_1) False) (Eq (fox a) False)) 4.93/5.09 Clause #50 (by clausification #[43]): Eq (∀ (B S : Iota), Or (Or (Not (bird B)) (Not (snail S))) (Not (eats B S))) True 4.93/5.09 Clause #51 (by clausification #[43]): Eq 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) 4.93/5.09 (∀ (X : Iota), Or (Not (bird X)) (animal X))) 4.93/5.09 (∀ (X : Iota), Or (animal X) (Not (caterpillar X)))) 4.93/5.09 (wolf a_wolf)) 4.93/5.09 (fox a_fox)) 4.93/5.09 (bird a_bird)) 4.93/5.09 (caterpillar a_caterpillar)) 4.93/5.09 (∀ (A P S O : Iota), 4.93/5.09 Or 4.93/5.09 (Or 4.93/5.09 (Or 4.93/5.09 (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (animal S))) (Not (plant O))) 4.93/5.09 (Not (msmaller S A))) 4.93/5.09 (Not (eats S O))) 4.93/5.09 (Not (animal A))) 4.93/5.09 (eats A P))) 4.93/5.09 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.93/5.09 (∀ (F W : Iota), Or (Or (Not (eats W F)) (Not (fox F))) (Not (wolf W)))) 4.93/5.09 (∀ (W G : Iota), Or (Or (Not (eats W G)) (Not (grain G))) (Not (wolf W)))) 4.93/5.09 (∀ (B C : Iota), Or (Or (eats B C) (Not (bird B))) (Not (caterpillar C)))) 4.93/5.09 (∀ (C : Iota), Or (eats C (cf C)) (Not (caterpillar C)))) 4.93/5.09 (∀ (S : Iota), Or (plant (sf S)) (Not (snail S)))) 4.93/5.09 (∀ (A E G : Iota), 4.93/5.09 Or (Or (Or (Or (Not (animal A)) (Not (eats E G))) (Not (eats A E))) (Not (grain G))) (Not (animal E)))) 4.93/5.09 (∀ (S : Iota), Or (Not (snail S)) (eats S (sf S)))) 4.93/5.09 (∀ (C : Iota), Or (plant (cf C)) (Not (caterpillar C)))) 4.93/5.09 True 4.93/5.09 Clause #52 (by clausification #[50]): ∀ (a : Iota), Eq (∀ (S : Iota), Or (Or (Not (bird a)) (Not (snail S))) (Not (eats a S))) True 4.93/5.09 Clause #53 (by clausification #[52]): ∀ (a a_1 : Iota), Eq (Or (Or (Not (bird a)) (Not (snail a_1))) (Not (eats a a_1))) True 4.93/5.09 Clause #54 (by clausification #[53]): ∀ (a a_1 : Iota), Or (Eq (Or (Not (bird a)) (Not (snail a_1))) True) (Eq (Not (eats a a_1)) True) 4.93/5.09 Clause #55 (by clausification #[54]): ∀ (a a_1 : Iota), Or (Eq (Not (eats a a_1)) True) (Or (Eq (Not (bird a)) True) (Eq (Not (snail a_1)) True)) 4.93/5.09 Clause #56 (by clausification #[55]): ∀ (a a_1 : Iota), Or (Eq (Not (bird a)) True) (Or (Eq (Not (snail a_1)) True) (Eq (eats a a_1) False)) 4.93/5.09 Clause #57 (by clausification #[56]): ∀ (a a_1 : Iota), Or (Eq (Not (snail a)) True) (Or (Eq (eats a_1 a) False) (Eq (bird a_1) False)) 4.93/5.09 Clause #58 (by clausification #[57]): ∀ (a a_1 : Iota), Or (Eq (eats a a_1) False) (Or (Eq (bird a) False) (Eq (snail a_1) False)) 4.93/5.09 Clause #60 (by clausification #[51]): Eq 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And 4.93/5.09 (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) 4.93/5.09 (∀ (X : Iota), Or (Not (bird X)) (animal X))) 4.93/5.09 (∀ (X : Iota), Or (animal X) (Not (caterpillar X)))) 4.93/5.09 (wolf a_wolf)) 4.93/5.09 (fox a_fox)) 4.93/5.09 (bird a_bird)) 4.93/5.09 (caterpillar a_caterpillar)) 4.93/5.09 (∀ (A P S O : Iota), 4.93/5.09 Or 4.93/5.09 (Or 4.93/5.09 (Or 4.93/5.09 (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (animal S))) (Not (plant O))) 4.93/5.11 (Not (msmaller S A))) 4.93/5.11 (Not (eats S O))) 4.93/5.11 (Not (animal A))) 4.93/5.11 (eats A P))) 4.93/5.11 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.93/5.11 (∀ (F W : Iota), Or (Or (Not (eats W F)) (Not (fox F))) (Not (wolf W)))) 4.93/5.11 (∀ (W G : Iota), Or (Or (Not (eats W G)) (Not (grain G))) (Not (wolf W)))) 4.93/5.11 (∀ (B C : Iota), Or (Or (eats B C) (Not (bird B))) (Not (caterpillar C)))) 4.93/5.11 (∀ (C : Iota), Or (eats C (cf C)) (Not (caterpillar C)))) 4.93/5.11 (∀ (S : Iota), Or (plant (sf S)) (Not (snail S)))) 4.93/5.11 (∀ (A E G : Iota), 4.93/5.11 Or (Or (Or (Or (Not (animal A)) (Not (eats E G))) (Not (eats A E))) (Not (grain G))) (Not (animal E)))) 4.93/5.11 (∀ (S : Iota), Or (Not (snail S)) (eats S (sf S)))) 4.93/5.11 True 4.93/5.11 Clause #64 (by clausification #[60]): Eq (∀ (S : Iota), Or (Not (snail S)) (eats S (sf S))) True 4.93/5.11 Clause #65 (by clausification #[60]): Eq 4.93/5.11 (And 4.93/5.11 (And 4.93/5.11 (And 4.93/5.11 (And 4.93/5.11 (And 4.93/5.11 (And 4.93/5.11 (And 4.93/5.11 (And 4.93/5.11 (And 4.93/5.11 (And 4.93/5.11 (And 4.93/5.11 (And 4.93/5.11 (And 4.93/5.11 (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) 4.93/5.11 (∀ (X : Iota), Or (Not (bird X)) (animal X))) 4.93/5.11 (∀ (X : Iota), Or (animal X) (Not (caterpillar X)))) 4.93/5.11 (wolf a_wolf)) 4.93/5.11 (fox a_fox)) 4.93/5.11 (bird a_bird)) 4.93/5.11 (caterpillar a_caterpillar)) 4.93/5.11 (∀ (A P S O : Iota), 4.93/5.11 Or 4.93/5.11 (Or 4.93/5.11 (Or 4.93/5.11 (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (animal S))) (Not (plant O))) 4.93/5.11 (Not (msmaller S A))) 4.93/5.11 (Not (eats S O))) 4.93/5.11 (Not (animal A))) 4.93/5.11 (eats A P))) 4.93/5.11 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.93/5.11 (∀ (F W : Iota), Or (Or (Not (eats W F)) (Not (fox F))) (Not (wolf W)))) 4.93/5.11 (∀ (W G : Iota), Or (Or (Not (eats W G)) (Not (grain G))) (Not (wolf W)))) 4.93/5.11 (∀ (B C : Iota), Or (Or (eats B C) (Not (bird B))) (Not (caterpillar C)))) 4.93/5.11 (∀ (C : Iota), Or (eats C (cf C)) (Not (caterpillar C)))) 4.93/5.11 (∀ (S : Iota), Or (plant (sf S)) (Not (snail S)))) 4.93/5.11 (∀ (A E G : Iota), 4.93/5.11 Or (Or (Or (Or (Not (animal A)) (Not (eats E G))) (Not (eats A E))) (Not (grain G))) (Not (animal E)))) 4.93/5.11 True 4.93/5.11 Clause #66 (by clausification #[64]): ∀ (a : Iota), Eq (Or (Not (snail a)) (eats a (sf a))) True 4.93/5.11 Clause #67 (by clausification #[66]): ∀ (a : Iota), Or (Eq (Not (snail a)) True) (Eq (eats a (sf a)) True) 4.93/5.11 Clause #68 (by clausification #[67]): ∀ (a : Iota), Or (Eq (eats a (sf a)) True) (Eq (snail a) False) 4.93/5.11 Clause #69 (by superposition #[68, 13]): Or (Eq (eats a_snail (sf a_snail)) True) (Eq False True) 4.93/5.11 Clause #70 (by clausification #[69]): Eq (eats a_snail (sf a_snail)) True 4.93/5.11 Clause #73 (by clausification #[65]): Eq 4.93/5.11 (∀ (A E G : Iota), 4.93/5.11 Or (Or (Or (Or (Not (animal A)) (Not (eats E G))) (Not (eats A E))) (Not (grain G))) (Not (animal E))) 4.93/5.11 True 4.93/5.11 Clause #74 (by clausification #[65]): Eq 4.93/5.11 (And 4.93/5.11 (And 4.93/5.11 (And 4.93/5.11 (And 4.93/5.11 (And 4.93/5.11 (And 4.93/5.11 (And 4.93/5.11 (And 4.93/5.11 (And 4.93/5.11 (And 4.93/5.11 (And 4.93/5.11 (And 4.93/5.11 (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) 4.93/5.11 (∀ (X : Iota), Or (Not (bird X)) (animal X))) 4.93/5.11 (∀ (X : Iota), Or (animal X) (Not (caterpillar X)))) 4.93/5.11 (wolf a_wolf)) 4.93/5.11 (fox a_fox)) 4.93/5.11 (bird a_bird)) 4.93/5.11 (caterpillar a_caterpillar)) 4.93/5.11 (∀ (A P S O : Iota), 4.93/5.11 Or 4.93/5.11 (Or 4.93/5.11 (Or 4.93/5.13 (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (animal S))) (Not (plant O))) 4.93/5.13 (Not (msmaller S A))) 4.93/5.13 (Not (eats S O))) 4.93/5.13 (Not (animal A))) 4.93/5.13 (eats A P))) 4.93/5.13 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.93/5.13 (∀ (F W : Iota), Or (Or (Not (eats W F)) (Not (fox F))) (Not (wolf W)))) 4.93/5.13 (∀ (W G : Iota), Or (Or (Not (eats W G)) (Not (grain G))) (Not (wolf W)))) 4.93/5.13 (∀ (B C : Iota), Or (Or (eats B C) (Not (bird B))) (Not (caterpillar C)))) 4.93/5.13 (∀ (C : Iota), Or (eats C (cf C)) (Not (caterpillar C)))) 4.93/5.13 (∀ (S : Iota), Or (plant (sf S)) (Not (snail S)))) 4.93/5.13 True 4.93/5.13 Clause #75 (by clausification #[73]): ∀ (a : Iota), 4.93/5.13 Eq 4.93/5.13 (∀ (E G : Iota), 4.93/5.13 Or (Or (Or (Or (Not (animal a)) (Not (eats E G))) (Not (eats a E))) (Not (grain G))) (Not (animal E))) 4.93/5.13 True 4.93/5.13 Clause #76 (by clausification #[75]): ∀ (a a_1 : Iota), 4.93/5.13 Eq 4.93/5.13 (∀ (G : Iota), 4.93/5.13 Or (Or (Or (Or (Not (animal a)) (Not (eats a_1 G))) (Not (eats a a_1))) (Not (grain G))) (Not (animal a_1))) 4.93/5.13 True 4.93/5.13 Clause #77 (by clausification #[76]): ∀ (a a_1 a_2 : Iota), 4.93/5.13 Eq (Or (Or (Or (Or (Not (animal a)) (Not (eats a_1 a_2))) (Not (eats a a_1))) (Not (grain a_2))) (Not (animal a_1))) 4.93/5.13 True 4.93/5.13 Clause #78 (by clausification #[77]): ∀ (a a_1 a_2 : Iota), 4.93/5.13 Or (Eq (Or (Or (Or (Not (animal a)) (Not (eats a_1 a_2))) (Not (eats a a_1))) (Not (grain a_2))) True) 4.93/5.13 (Eq (Not (animal a_1)) True) 4.93/5.13 Clause #79 (by clausification #[78]): ∀ (a a_1 a_2 : Iota), 4.93/5.13 Or (Eq (Not (animal a)) True) 4.93/5.13 (Or (Eq (Or (Or (Not (animal a_1)) (Not (eats a a_2))) (Not (eats a_1 a))) True) (Eq (Not (grain a_2)) True)) 4.93/5.13 Clause #80 (by clausification #[79]): ∀ (a a_1 a_2 : Iota), 4.93/5.13 Or (Eq (Or (Or (Not (animal a)) (Not (eats a_1 a_2))) (Not (eats a a_1))) True) 4.93/5.13 (Or (Eq (Not (grain a_2)) True) (Eq (animal a_1) False)) 4.93/5.13 Clause #81 (by clausification #[80]): ∀ (a a_1 a_2 : Iota), 4.93/5.13 Or (Eq (Not (grain a)) True) 4.93/5.13 (Or (Eq (animal a_1) False) 4.93/5.13 (Or (Eq (Or (Not (animal a_2)) (Not (eats a_1 a))) True) (Eq (Not (eats a_2 a_1)) True))) 4.93/5.13 Clause #82 (by clausification #[81]): ∀ (a a_1 a_2 : Iota), 4.93/5.13 Or (Eq (animal a) False) 4.93/5.13 (Or (Eq (Or (Not (animal a_1)) (Not (eats a a_2))) True) (Or (Eq (Not (eats a_1 a)) True) (Eq (grain a_2) False))) 4.93/5.13 Clause #83 (by clausification #[82]): ∀ (a a_1 a_2 : Iota), 4.93/5.13 Or (Eq (animal a) False) 4.93/5.13 (Or (Eq (Not (eats a_1 a)) True) 4.93/5.13 (Or (Eq (grain a_2) False) (Or (Eq (Not (animal a_1)) True) (Eq (Not (eats a a_2)) True)))) 4.93/5.13 Clause #84 (by clausification #[83]): ∀ (a a_1 a_2 : Iota), 4.93/5.13 Or (Eq (animal a) False) 4.93/5.13 (Or (Eq (grain a_1) False) 4.93/5.13 (Or (Eq (Not (animal a_2)) True) (Or (Eq (Not (eats a a_1)) True) (Eq (eats a_2 a) False)))) 4.93/5.13 Clause #85 (by clausification #[84]): ∀ (a a_1 a_2 : Iota), 4.93/5.13 Or (Eq (animal a) False) 4.93/5.13 (Or (Eq (grain a_1) False) (Or (Eq (Not (eats a a_1)) True) (Or (Eq (eats a_2 a) False) (Eq (animal a_2) False)))) 4.93/5.13 Clause #86 (by clausification #[85]): ∀ (a a_1 a_2 : Iota), 4.93/5.13 Or (Eq (animal a) False) 4.93/5.13 (Or (Eq (grain a_1) False) (Or (Eq (eats a_2 a) False) (Or (Eq (animal a_2) False) (Eq (eats a a_1) False)))) 4.93/5.13 Clause #90 (by clausification #[74]): Eq (∀ (S : Iota), Or (plant (sf S)) (Not (snail S))) True 4.93/5.13 Clause #91 (by clausification #[74]): Eq 4.93/5.13 (And 4.93/5.13 (And 4.93/5.13 (And 4.93/5.13 (And 4.93/5.13 (And 4.93/5.13 (And 4.93/5.13 (And 4.93/5.13 (And 4.93/5.13 (And 4.93/5.13 (And 4.93/5.13 (And 4.93/5.13 (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) (∀ (X : Iota), Or (Not (bird X)) (animal X))) 4.93/5.13 (∀ (X : Iota), Or (animal X) (Not (caterpillar X)))) 4.93/5.13 (wolf a_wolf)) 4.93/5.13 (fox a_fox)) 4.93/5.13 (bird a_bird)) 4.93/5.13 (caterpillar a_caterpillar)) 4.93/5.13 (∀ (A P S O : Iota), 4.93/5.13 Or 4.93/5.13 (Or 4.93/5.13 (Or 4.93/5.13 (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (animal S))) (Not (plant O))) 4.93/5.15 (Not (msmaller S A))) 4.93/5.15 (Not (eats S O))) 4.93/5.15 (Not (animal A))) 4.93/5.15 (eats A P))) 4.93/5.15 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.93/5.15 (∀ (F W : Iota), Or (Or (Not (eats W F)) (Not (fox F))) (Not (wolf W)))) 4.93/5.15 (∀ (W G : Iota), Or (Or (Not (eats W G)) (Not (grain G))) (Not (wolf W)))) 4.93/5.15 (∀ (B C : Iota), Or (Or (eats B C) (Not (bird B))) (Not (caterpillar C)))) 4.93/5.15 (∀ (C : Iota), Or (eats C (cf C)) (Not (caterpillar C)))) 4.93/5.15 True 4.93/5.15 Clause #92 (by clausification #[90]): ∀ (a : Iota), Eq (Or (plant (sf a)) (Not (snail a))) True 4.93/5.15 Clause #93 (by clausification #[92]): ∀ (a : Iota), Or (Eq (plant (sf a)) True) (Eq (Not (snail a)) True) 4.93/5.15 Clause #94 (by clausification #[93]): ∀ (a : Iota), Or (Eq (plant (sf a)) True) (Eq (snail a) False) 4.93/5.15 Clause #95 (by superposition #[94, 13]): Or (Eq (plant (sf a_snail)) True) (Eq False True) 4.93/5.15 Clause #96 (by clausification #[95]): Eq (plant (sf a_snail)) True 4.93/5.15 Clause #99 (by clausification #[91]): Eq 4.93/5.15 (And 4.93/5.15 (And 4.93/5.15 (And 4.93/5.15 (And 4.93/5.15 (And 4.93/5.15 (And 4.93/5.15 (And 4.93/5.15 (And 4.93/5.15 (And 4.93/5.15 (And (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) (∀ (X : Iota), Or (Not (bird X)) (animal X))) 4.93/5.15 (∀ (X : Iota), Or (animal X) (Not (caterpillar X)))) 4.93/5.15 (wolf a_wolf)) 4.93/5.15 (fox a_fox)) 4.93/5.15 (bird a_bird)) 4.93/5.15 (caterpillar a_caterpillar)) 4.93/5.15 (∀ (A P S O : Iota), 4.93/5.15 Or 4.93/5.15 (Or 4.93/5.15 (Or 4.93/5.15 (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (animal S))) (Not (plant O))) (Not (msmaller S A))) 4.93/5.15 (Not (eats S O))) 4.93/5.15 (Not (animal A))) 4.93/5.15 (eats A P))) 4.93/5.15 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.93/5.15 (∀ (F W : Iota), Or (Or (Not (eats W F)) (Not (fox F))) (Not (wolf W)))) 4.93/5.15 (∀ (W G : Iota), Or (Or (Not (eats W G)) (Not (grain G))) (Not (wolf W)))) 4.93/5.15 (∀ (B C : Iota), Or (Or (eats B C) (Not (bird B))) (Not (caterpillar C)))) 4.93/5.15 True 4.93/5.15 Clause #104 (by clausification #[99]): Eq 4.93/5.15 (And 4.93/5.15 (And 4.93/5.15 (And 4.93/5.15 (And 4.93/5.15 (And 4.93/5.15 (And 4.93/5.15 (And 4.93/5.15 (And 4.93/5.15 (And (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) (∀ (X : Iota), Or (Not (bird X)) (animal X))) 4.93/5.15 (∀ (X : Iota), Or (animal X) (Not (caterpillar X)))) 4.93/5.15 (wolf a_wolf)) 4.93/5.15 (fox a_fox)) 4.93/5.15 (bird a_bird)) 4.93/5.15 (caterpillar a_caterpillar)) 4.93/5.15 (∀ (A P S O : Iota), 4.93/5.15 Or 4.93/5.15 (Or 4.93/5.15 (Or (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (animal S))) (Not (plant O))) (Not (msmaller S A))) 4.93/5.15 (Not (eats S O))) 4.93/5.15 (Not (animal A))) 4.93/5.15 (eats A P))) 4.93/5.15 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 4.93/5.15 (∀ (F W : Iota), Or (Or (Not (eats W F)) (Not (fox F))) (Not (wolf W)))) 4.93/5.15 (∀ (W G : Iota), Or (Or (Not (eats W G)) (Not (grain G))) (Not (wolf W)))) 4.93/5.15 True 4.93/5.15 Clause #111 (by clausification #[104]): Eq (∀ (W G : Iota), Or (Or (Not (eats W G)) (Not (grain G))) (Not (wolf W))) True 4.93/5.15 Clause #112 (by clausification #[104]): Eq 4.93/5.15 (And 4.93/5.15 (And 4.93/5.15 (And 4.93/5.15 (And 4.93/5.15 (And 4.93/5.15 (And 4.93/5.15 (And 4.93/5.15 (And (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) (∀ (X : Iota), Or (Not (bird X)) (animal X))) 4.93/5.15 (∀ (X : Iota), Or (animal X) (Not (caterpillar X)))) 4.93/5.15 (wolf a_wolf)) 4.93/5.15 (fox a_fox)) 4.93/5.15 (bird a_bird)) 4.93/5.15 (caterpillar a_caterpillar)) 4.93/5.15 (∀ (A P S O : Iota), 4.93/5.15 Or 4.93/5.15 (Or 4.93/5.15 (Or (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (animal S))) (Not (plant O))) (Not (msmaller S A))) 4.93/5.15 (Not (eats S O))) 4.93/5.15 (Not (animal A))) 4.93/5.15 (eats A P))) 5.01/5.17 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 5.01/5.17 (∀ (F W : Iota), Or (Or (Not (eats W F)) (Not (fox F))) (Not (wolf W)))) 5.01/5.17 True 5.01/5.17 Clause #113 (by clausification #[111]): ∀ (a : Iota), Eq (∀ (G : Iota), Or (Or (Not (eats a G)) (Not (grain G))) (Not (wolf a))) True 5.01/5.17 Clause #114 (by clausification #[113]): ∀ (a a_1 : Iota), Eq (Or (Or (Not (eats a a_1)) (Not (grain a_1))) (Not (wolf a))) True 5.01/5.17 Clause #115 (by clausification #[114]): ∀ (a a_1 : Iota), Or (Eq (Or (Not (eats a a_1)) (Not (grain a_1))) True) (Eq (Not (wolf a)) True) 5.01/5.17 Clause #116 (by clausification #[115]): ∀ (a a_1 : Iota), Or (Eq (Not (wolf a)) True) (Or (Eq (Not (eats a a_1)) True) (Eq (Not (grain a_1)) True)) 5.01/5.17 Clause #117 (by clausification #[116]): ∀ (a a_1 : Iota), Or (Eq (Not (eats a a_1)) True) (Or (Eq (Not (grain a_1)) True) (Eq (wolf a) False)) 5.01/5.17 Clause #118 (by clausification #[117]): ∀ (a a_1 : Iota), Or (Eq (Not (grain a)) True) (Or (Eq (wolf a_1) False) (Eq (eats a_1 a) False)) 5.01/5.17 Clause #119 (by clausification #[118]): ∀ (a a_1 : Iota), Or (Eq (wolf a) False) (Or (Eq (eats a a_1) False) (Eq (grain a_1) False)) 5.01/5.17 Clause #120 (by clausification #[112]): Eq (∀ (F W : Iota), Or (Or (Not (eats W F)) (Not (fox F))) (Not (wolf W))) True 5.01/5.17 Clause #121 (by clausification #[112]): Eq 5.01/5.17 (And 5.01/5.17 (And 5.01/5.17 (And 5.01/5.17 (And 5.01/5.17 (And 5.01/5.17 (And 5.01/5.17 (And (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) (∀ (X : Iota), Or (Not (bird X)) (animal X))) 5.01/5.17 (∀ (X : Iota), Or (animal X) (Not (caterpillar X)))) 5.01/5.17 (wolf a_wolf)) 5.01/5.17 (fox a_fox)) 5.01/5.17 (bird a_bird)) 5.01/5.17 (caterpillar a_caterpillar)) 5.01/5.17 (∀ (A P S O : Iota), 5.01/5.17 Or 5.01/5.17 (Or 5.01/5.17 (Or (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (animal S))) (Not (plant O))) (Not (msmaller S A))) 5.01/5.17 (Not (eats S O))) 5.01/5.17 (Not (animal A))) 5.01/5.17 (eats A P))) 5.01/5.17 (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B))) 5.01/5.17 True 5.01/5.17 Clause #122 (by clausification #[120]): ∀ (a : Iota), Eq (∀ (W : Iota), Or (Or (Not (eats W a)) (Not (fox a))) (Not (wolf W))) True 5.01/5.17 Clause #123 (by clausification #[122]): ∀ (a a_1 : Iota), Eq (Or (Or (Not (eats a a_1)) (Not (fox a_1))) (Not (wolf a))) True 5.01/5.17 Clause #124 (by clausification #[123]): ∀ (a a_1 : Iota), Or (Eq (Or (Not (eats a a_1)) (Not (fox a_1))) True) (Eq (Not (wolf a)) True) 5.01/5.17 Clause #125 (by clausification #[124]): ∀ (a a_1 : Iota), Or (Eq (Not (wolf a)) True) (Or (Eq (Not (eats a a_1)) True) (Eq (Not (fox a_1)) True)) 5.01/5.17 Clause #126 (by clausification #[125]): ∀ (a a_1 : Iota), Or (Eq (Not (eats a a_1)) True) (Or (Eq (Not (fox a_1)) True) (Eq (wolf a) False)) 5.01/5.17 Clause #127 (by clausification #[126]): ∀ (a a_1 : Iota), Or (Eq (Not (fox a)) True) (Or (Eq (wolf a_1) False) (Eq (eats a_1 a) False)) 5.01/5.17 Clause #128 (by clausification #[127]): ∀ (a a_1 : Iota), Or (Eq (wolf a) False) (Or (Eq (eats a a_1) False) (Eq (fox a_1) False)) 5.01/5.17 Clause #129 (by clausification #[121]): Eq (∀ (S B : Iota), Or (Or (Not (bird B)) (Not (snail S))) (msmaller S B)) True 5.01/5.17 Clause #130 (by clausification #[121]): Eq 5.01/5.17 (And 5.01/5.17 (And 5.01/5.17 (And 5.01/5.17 (And 5.01/5.17 (And 5.01/5.17 (And (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) (∀ (X : Iota), Or (Not (bird X)) (animal X))) 5.01/5.17 (∀ (X : Iota), Or (animal X) (Not (caterpillar X)))) 5.01/5.17 (wolf a_wolf)) 5.01/5.17 (fox a_fox)) 5.01/5.17 (bird a_bird)) 5.01/5.17 (caterpillar a_caterpillar)) 5.01/5.17 (∀ (A P S O : Iota), 5.01/5.17 Or 5.01/5.17 (Or 5.01/5.17 (Or (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (animal S))) (Not (plant O))) (Not (msmaller S A))) 5.01/5.17 (Not (eats S O))) 5.01/5.17 (Not (animal A))) 5.01/5.17 (eats A P))) 5.01/5.17 True 5.01/5.17 Clause #131 (by clausification #[129]): ∀ (a : Iota), Eq (∀ (B : Iota), Or (Or (Not (bird B)) (Not (snail a))) (msmaller a B)) True 5.01/5.17 Clause #132 (by clausification #[131]): ∀ (a a_1 : Iota), Eq (Or (Or (Not (bird a)) (Not (snail a_1))) (msmaller a_1 a)) True 5.01/5.17 Clause #133 (by clausification #[132]): ∀ (a a_1 : Iota), Or (Eq (Or (Not (bird a)) (Not (snail a_1))) True) (Eq (msmaller a_1 a) True) 5.01/5.20 Clause #134 (by clausification #[133]): ∀ (a a_1 : Iota), Or (Eq (msmaller a a_1) True) (Or (Eq (Not (bird a_1)) True) (Eq (Not (snail a)) True)) 5.01/5.20 Clause #135 (by clausification #[134]): ∀ (a a_1 : Iota), Or (Eq (msmaller a a_1) True) (Or (Eq (Not (snail a)) True) (Eq (bird a_1) False)) 5.01/5.20 Clause #136 (by clausification #[135]): ∀ (a a_1 : Iota), Or (Eq (msmaller a a_1) True) (Or (Eq (bird a_1) False) (Eq (snail a) False)) 5.01/5.20 Clause #137 (by clausification #[130]): Eq 5.01/5.20 (∀ (A P S O : Iota), 5.01/5.20 Or 5.01/5.20 (Or 5.01/5.20 (Or (Or (Or (Or (Or (eats A S) (Not (plant P))) (Not (animal S))) (Not (plant O))) (Not (msmaller S A))) 5.01/5.20 (Not (eats S O))) 5.01/5.20 (Not (animal A))) 5.01/5.20 (eats A P)) 5.01/5.20 True 5.01/5.20 Clause #138 (by clausification #[130]): Eq 5.01/5.20 (And 5.01/5.20 (And 5.01/5.20 (And 5.01/5.20 (And 5.01/5.20 (And (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) (∀ (X : Iota), Or (Not (bird X)) (animal X))) 5.01/5.20 (∀ (X : Iota), Or (animal X) (Not (caterpillar X)))) 5.01/5.20 (wolf a_wolf)) 5.01/5.20 (fox a_fox)) 5.01/5.20 (bird a_bird)) 5.01/5.20 (caterpillar a_caterpillar)) 5.01/5.20 True 5.01/5.20 Clause #139 (by clausification #[137]): ∀ (a : Iota), 5.01/5.20 Eq 5.01/5.20 (∀ (P S O : Iota), 5.01/5.20 Or 5.01/5.20 (Or 5.01/5.20 (Or (Or (Or (Or (Or (eats a S) (Not (plant P))) (Not (animal S))) (Not (plant O))) (Not (msmaller S a))) 5.01/5.20 (Not (eats S O))) 5.01/5.20 (Not (animal a))) 5.01/5.20 (eats a P)) 5.01/5.20 True 5.01/5.20 Clause #140 (by clausification #[139]): ∀ (a a_1 : Iota), 5.01/5.20 Eq 5.01/5.20 (∀ (S O : Iota), 5.01/5.20 Or 5.01/5.20 (Or 5.01/5.20 (Or (Or (Or (Or (Or (eats a S) (Not (plant a_1))) (Not (animal S))) (Not (plant O))) (Not (msmaller S a))) 5.01/5.20 (Not (eats S O))) 5.01/5.20 (Not (animal a))) 5.01/5.20 (eats a a_1)) 5.01/5.20 True 5.01/5.20 Clause #141 (by clausification #[140]): ∀ (a a_1 a_2 : Iota), 5.01/5.20 Eq 5.01/5.20 (∀ (O : Iota), 5.01/5.20 Or 5.01/5.20 (Or 5.01/5.20 (Or 5.01/5.20 (Or (Or (Or (Or (eats a a_1) (Not (plant a_2))) (Not (animal a_1))) (Not (plant O))) (Not (msmaller a_1 a))) 5.01/5.20 (Not (eats a_1 O))) 5.01/5.20 (Not (animal a))) 5.01/5.20 (eats a a_2)) 5.01/5.20 True 5.01/5.20 Clause #142 (by clausification #[141]): ∀ (a a_1 a_2 a_3 : Iota), 5.01/5.20 Eq 5.01/5.20 (Or 5.01/5.20 (Or 5.01/5.20 (Or 5.01/5.20 (Or (Or (Or (Or (eats a a_1) (Not (plant a_2))) (Not (animal a_1))) (Not (plant a_3))) (Not (msmaller a_1 a))) 5.01/5.20 (Not (eats a_1 a_3))) 5.01/5.20 (Not (animal a))) 5.01/5.20 (eats a a_2)) 5.01/5.20 True 5.01/5.20 Clause #143 (by clausification #[142]): ∀ (a a_1 a_2 a_3 : Iota), 5.01/5.20 Or 5.01/5.20 (Eq 5.01/5.20 (Or 5.01/5.20 (Or 5.01/5.20 (Or (Or (Or (Or (eats a a_1) (Not (plant a_2))) (Not (animal a_1))) (Not (plant a_3))) (Not (msmaller a_1 a))) 5.01/5.20 (Not (eats a_1 a_3))) 5.01/5.20 (Not (animal a))) 5.01/5.20 True) 5.01/5.20 (Eq (eats a a_2) True) 5.01/5.20 Clause #144 (by clausification #[143]): ∀ (a a_1 a_2 a_3 : Iota), 5.01/5.20 Or (Eq (eats a a_1) True) 5.01/5.20 (Or 5.01/5.20 (Eq 5.01/5.20 (Or 5.01/5.20 (Or (Or (Or (Or (eats a a_2) (Not (plant a_1))) (Not (animal a_2))) (Not (plant a_3))) (Not (msmaller a_2 a))) 5.01/5.20 (Not (eats a_2 a_3))) 5.01/5.20 True) 5.01/5.20 (Eq (Not (animal a)) True)) 5.01/5.20 Clause #145 (by clausification #[144]): ∀ (a a_1 a_2 a_3 : Iota), 5.01/5.20 Or (Eq (eats a a_1) True) 5.01/5.20 (Or (Eq (Not (animal a)) True) 5.01/5.20 (Or 5.01/5.20 (Eq 5.01/5.20 (Or (Or (Or (Or (eats a a_2) (Not (plant a_1))) (Not (animal a_2))) (Not (plant a_3))) (Not (msmaller a_2 a))) 5.01/5.20 True) 5.01/5.20 (Eq (Not (eats a_2 a_3)) True))) 5.01/5.20 Clause #146 (by clausification #[145]): ∀ (a a_1 a_2 a_3 : Iota), 5.01/5.20 Or (Eq (eats a a_1) True) 5.01/5.20 (Or 5.01/5.20 (Eq (Or (Or (Or (Or (eats a a_2) (Not (plant a_1))) (Not (animal a_2))) (Not (plant a_3))) (Not (msmaller a_2 a))) 5.01/5.20 True) 5.01/5.20 (Or (Eq (Not (eats a_2 a_3)) True) (Eq (animal a) False))) 5.01/5.20 Clause #147 (by clausification #[146]): ∀ (a a_1 a_2 a_3 : Iota), 5.01/5.20 Or (Eq (eats a a_1) True) 5.01/5.20 (Or (Eq (Not (eats a_2 a_3)) True) 5.01/5.20 (Or (Eq (animal a) False) 5.01/5.20 (Or (Eq (Or (Or (Or (eats a a_2) (Not (plant a_1))) (Not (animal a_2))) (Not (plant a_3))) True) 5.01/5.20 (Eq (Not (msmaller a_2 a)) True)))) 5.01/5.20 Clause #148 (by clausification #[147]): ∀ (a a_1 a_2 a_3 : Iota), 5.01/5.20 Or (Eq (eats a a_1) True) 5.01/5.22 (Or (Eq (animal a) False) 5.01/5.22 (Or (Eq (Or (Or (Or (eats a a_2) (Not (plant a_1))) (Not (animal a_2))) (Not (plant a_3))) True) 5.01/5.22 (Or (Eq (Not (msmaller a_2 a)) True) (Eq (eats a_2 a_3) False)))) 5.01/5.22 Clause #149 (by clausification #[148]): ∀ (a a_1 a_2 a_3 : Iota), 5.01/5.22 Or (Eq (eats a a_1) True) 5.01/5.22 (Or (Eq (animal a) False) 5.01/5.22 (Or (Eq (Not (msmaller a_2 a)) True) 5.01/5.22 (Or (Eq (eats a_2 a_3) False) 5.01/5.22 (Or (Eq (Or (Or (eats a a_2) (Not (plant a_1))) (Not (animal a_2))) True) (Eq (Not (plant a_3)) True))))) 5.01/5.22 Clause #150 (by clausification #[149]): ∀ (a a_1 a_2 a_3 : Iota), 5.01/5.22 Or (Eq (eats a a_1) True) 5.01/5.22 (Or (Eq (animal a) False) 5.01/5.22 (Or (Eq (eats a_2 a_3) False) 5.01/5.22 (Or (Eq (Or (Or (eats a a_2) (Not (plant a_1))) (Not (animal a_2))) True) 5.01/5.22 (Or (Eq (Not (plant a_3)) True) (Eq (msmaller a_2 a) False))))) 5.01/5.22 Clause #151 (by clausification #[150]): ∀ (a a_1 a_2 a_3 : Iota), 5.01/5.22 Or (Eq (eats a a_1) True) 5.01/5.22 (Or (Eq (animal a) False) 5.01/5.22 (Or (Eq (eats a_2 a_3) False) 5.01/5.22 (Or (Eq (Not (plant a_3)) True) 5.01/5.22 (Or (Eq (msmaller a_2 a) False) 5.01/5.22 (Or (Eq (Or (eats a a_2) (Not (plant a_1))) True) (Eq (Not (animal a_2)) True)))))) 5.01/5.22 Clause #152 (by clausification #[151]): ∀ (a a_1 a_2 a_3 : Iota), 5.01/5.22 Or (Eq (eats a a_1) True) 5.01/5.22 (Or (Eq (animal a) False) 5.01/5.22 (Or (Eq (eats a_2 a_3) False) 5.01/5.22 (Or (Eq (msmaller a_2 a) False) 5.01/5.22 (Or (Eq (Or (eats a a_2) (Not (plant a_1))) True) (Or (Eq (Not (animal a_2)) True) (Eq (plant a_3) False)))))) 5.01/5.22 Clause #153 (by clausification #[152]): ∀ (a a_1 a_2 a_3 : Iota), 5.01/5.22 Or (Eq (eats a a_1) True) 5.01/5.22 (Or (Eq (animal a) False) 5.01/5.22 (Or (Eq (eats a_2 a_3) False) 5.01/5.22 (Or (Eq (msmaller a_2 a) False) 5.01/5.22 (Or (Eq (Not (animal a_2)) True) 5.01/5.22 (Or (Eq (plant a_3) False) (Or (Eq (eats a a_2) True) (Eq (Not (plant a_1)) True))))))) 5.01/5.22 Clause #154 (by clausification #[153]): ∀ (a a_1 a_2 a_3 : Iota), 5.01/5.22 Or (Eq (eats a a_1) True) 5.01/5.22 (Or (Eq (animal a) False) 5.01/5.22 (Or (Eq (eats a_2 a_3) False) 5.01/5.22 (Or (Eq (msmaller a_2 a) False) 5.01/5.22 (Or (Eq (plant a_3) False) 5.01/5.22 (Or (Eq (eats a a_2) True) (Or (Eq (Not (plant a_1)) True) (Eq (animal a_2) False))))))) 5.01/5.22 Clause #155 (by clausification #[154]): ∀ (a a_1 a_2 a_3 : Iota), 5.01/5.22 Or (Eq (eats a a_1) True) 5.01/5.22 (Or (Eq (animal a) False) 5.01/5.22 (Or (Eq (eats a_2 a_3) False) 5.01/5.22 (Or (Eq (msmaller a_2 a) False) 5.01/5.22 (Or (Eq (plant a_3) False) (Or (Eq (eats a a_2) True) (Or (Eq (animal a_2) False) (Eq (plant a_1) False))))))) 5.01/5.22 Clause #165 (by clausification #[138]): Eq 5.01/5.22 (And 5.01/5.22 (And 5.01/5.22 (And 5.01/5.22 (And (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) (∀ (X : Iota), Or (Not (bird X)) (animal X))) 5.01/5.22 (∀ (X : Iota), Or (animal X) (Not (caterpillar X)))) 5.01/5.22 (wolf a_wolf)) 5.01/5.22 (fox a_fox)) 5.01/5.22 (bird a_bird)) 5.01/5.22 True 5.01/5.22 Clause #170 (by clausification #[165]): Eq (bird a_bird) True 5.01/5.22 Clause #171 (by clausification #[165]): Eq 5.01/5.22 (And 5.01/5.22 (And 5.01/5.22 (And (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) (∀ (X : Iota), Or (Not (bird X)) (animal X))) 5.01/5.22 (∀ (X : Iota), Or (animal X) (Not (caterpillar X)))) 5.01/5.22 (wolf a_wolf)) 5.01/5.22 (fox a_fox)) 5.01/5.22 True 5.01/5.22 Clause #172 (by superposition #[170, 136]): ∀ (a : Iota), Or (Eq (msmaller a a_bird) True) (Or (Eq True False) (Eq (snail a) False)) 5.01/5.22 Clause #177 (by clausification #[172]): ∀ (a : Iota), Or (Eq (msmaller a a_bird) True) (Eq (snail a) False) 5.01/5.22 Clause #178 (by superposition #[177, 13]): Or (Eq (msmaller a_snail a_bird) True) (Eq False True) 5.01/5.22 Clause #179 (by clausification #[178]): Eq (msmaller a_snail a_bird) True 5.01/5.22 Clause #193 (by clausification #[171]): Eq (fox a_fox) True 5.01/5.22 Clause #194 (by clausification #[171]): Eq 5.01/5.22 (And 5.01/5.22 (And (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) (∀ (X : Iota), Or (Not (bird X)) (animal X))) 5.01/5.22 (∀ (X : Iota), Or (animal X) (Not (caterpillar X)))) 5.01/5.22 (wolf a_wolf)) 5.01/5.22 True 5.01/5.22 Clause #195 (by superposition #[193, 7]): Or (Eq (animal a_fox) True) (Eq True False) 5.01/5.22 Clause #196 (by superposition #[193, 41]): ∀ (a : Iota), Or (Eq (msmaller a a_fox) True) (Or (Eq True False) (Eq (bird a) False)) 5.07/5.24 Clause #197 (by clausification #[195]): Eq (animal a_fox) True 5.07/5.24 Clause #199 (by superposition #[197, 155]): ∀ (a a_1 a_2 : Iota), 5.07/5.24 Or (Eq (eats a_fox a) True) 5.07/5.24 (Or (Eq True False) 5.07/5.24 (Or (Eq (eats a_1 a_2) False) 5.07/5.24 (Or (Eq (msmaller a_1 a_fox) False) 5.07/5.24 (Or (Eq (plant a_2) False) 5.07/5.24 (Or (Eq (eats a_fox a_1) True) (Or (Eq (animal a_1) False) (Eq (plant a) False))))))) 5.07/5.24 Clause #200 (by clausification #[196]): ∀ (a : Iota), Or (Eq (msmaller a a_fox) True) (Eq (bird a) False) 5.07/5.24 Clause #201 (by superposition #[200, 170]): Or (Eq (msmaller a_bird a_fox) True) (Eq False True) 5.07/5.24 Clause #202 (by clausification #[201]): Eq (msmaller a_bird a_fox) True 5.07/5.24 Clause #207 (by clausification #[194]): Eq (wolf a_wolf) True 5.07/5.24 Clause #208 (by clausification #[194]): Eq 5.07/5.24 (And (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) (∀ (X : Iota), Or (Not (bird X)) (animal X))) 5.07/5.24 (∀ (X : Iota), Or (animal X) (Not (caterpillar X)))) 5.07/5.24 True 5.07/5.24 Clause #209 (by superposition #[207, 49]): ∀ (a : Iota), Or (Eq (msmaller a a_wolf) True) (Or (Eq True False) (Eq (fox a) False)) 5.07/5.24 Clause #210 (by superposition #[207, 119]): ∀ (a : Iota), Or (Eq True False) (Or (Eq (eats a_wolf a) False) (Eq (grain a) False)) 5.07/5.24 Clause #211 (by superposition #[207, 128]): ∀ (a : Iota), Or (Eq True False) (Or (Eq (eats a_wolf a) False) (Eq (fox a) False)) 5.07/5.24 Clause #212 (by clausification #[211]): ∀ (a : Iota), Or (Eq (eats a_wolf a) False) (Eq (fox a) False) 5.07/5.24 Clause #213 (by clausification #[210]): ∀ (a : Iota), Or (Eq (eats a_wolf a) False) (Eq (grain a) False) 5.07/5.24 Clause #214 (by clausification #[209]): ∀ (a : Iota), Or (Eq (msmaller a a_wolf) True) (Eq (fox a) False) 5.07/5.24 Clause #215 (by superposition #[214, 193]): Or (Eq (msmaller a_fox a_wolf) True) (Eq False True) 5.07/5.24 Clause #216 (by clausification #[215]): Eq (msmaller a_fox a_wolf) True 5.07/5.24 Clause #217 (by clausification #[199]): ∀ (a a_1 a_2 : Iota), 5.07/5.24 Or (Eq (eats a_fox a) True) 5.07/5.24 (Or (Eq (eats a_1 a_2) False) 5.07/5.24 (Or (Eq (msmaller a_1 a_fox) False) 5.07/5.24 (Or (Eq (plant a_2) False) (Or (Eq (eats a_fox a_1) True) (Or (Eq (animal a_1) False) (Eq (plant a) False)))))) 5.07/5.24 Clause #226 (by clausification #[208]): Eq (And (∀ (X : Iota), Or (animal X) (Not (wolf X))) (∀ (X : Iota), Or (Not (bird X)) (animal X))) True 5.07/5.24 Clause #241 (by clausification #[226]): Eq (∀ (X : Iota), Or (Not (bird X)) (animal X)) True 5.07/5.24 Clause #242 (by clausification #[226]): Eq (∀ (X : Iota), Or (animal X) (Not (wolf X))) True 5.07/5.24 Clause #243 (by clausification #[241]): ∀ (a : Iota), Eq (Or (Not (bird a)) (animal a)) True 5.07/5.24 Clause #244 (by clausification #[243]): ∀ (a : Iota), Or (Eq (Not (bird a)) True) (Eq (animal a) True) 5.07/5.24 Clause #245 (by clausification #[244]): ∀ (a : Iota), Or (Eq (animal a) True) (Eq (bird a) False) 5.07/5.24 Clause #246 (by superposition #[245, 170]): Or (Eq (animal a_bird) True) (Eq False True) 5.07/5.24 Clause #247 (by clausification #[246]): Eq (animal a_bird) True 5.07/5.24 Clause #250 (by superposition #[247, 86]): ∀ (a a_1 : Iota), 5.07/5.24 Or (Eq True False) 5.07/5.24 (Or (Eq (grain a) False) (Or (Eq (eats a_1 a_bird) False) (Or (Eq (animal a_1) False) (Eq (eats a_bird a) False)))) 5.07/5.24 Clause #251 (by superposition #[247, 155]): ∀ (a a_1 a_2 : Iota), 5.07/5.24 Or (Eq (eats a_bird a) True) 5.07/5.24 (Or (Eq True False) 5.07/5.24 (Or (Eq (eats a_1 a_2) False) 5.07/5.24 (Or (Eq (msmaller a_1 a_bird) False) 5.07/5.24 (Or (Eq (plant a_2) False) 5.07/5.24 (Or (Eq (eats a_bird a_1) True) (Or (Eq (animal a_1) False) (Eq (plant a) False))))))) 5.07/5.24 Clause #252 (by clausification #[242]): ∀ (a : Iota), Eq (Or (animal a) (Not (wolf a))) True 5.07/5.24 Clause #253 (by clausification #[252]): ∀ (a : Iota), Or (Eq (animal a) True) (Eq (Not (wolf a)) True) 5.07/5.24 Clause #254 (by clausification #[253]): ∀ (a : Iota), Or (Eq (animal a) True) (Eq (wolf a) False) 5.07/5.24 Clause #255 (by superposition #[254, 207]): Or (Eq (animal a_wolf) True) (Eq False True) 5.07/5.24 Clause #256 (by clausification #[255]): Eq (animal a_wolf) True 5.07/5.24 Clause #258 (by superposition #[256, 155]): ∀ (a a_1 a_2 : Iota), 5.07/5.24 Or (Eq (eats a_wolf a) True) 5.07/5.24 (Or (Eq True False) 5.07/5.24 (Or (Eq (eats a_1 a_2) False) 5.10/5.26 (Or (Eq (msmaller a_1 a_wolf) False) 5.10/5.26 (Or (Eq (plant a_2) False) 5.10/5.26 (Or (Eq (eats a_wolf a_1) True) (Or (Eq (animal a_1) False) (Eq (plant a) False))))))) 5.10/5.26 Clause #268 (by clausification #[250]): ∀ (a a_1 : Iota), 5.10/5.26 Or (Eq (grain a) False) (Or (Eq (eats a_1 a_bird) False) (Or (Eq (animal a_1) False) (Eq (eats a_bird a) False))) 5.10/5.26 Clause #269 (by superposition #[268, 17]): ∀ (a : Iota), 5.10/5.26 Or (Eq (eats a a_bird) False) (Or (Eq (animal a) False) (Or (Eq (eats a_bird a_grain) False) (Eq False True))) 5.10/5.26 Clause #270 (by clausification #[269]): ∀ (a : Iota), Or (Eq (eats a a_bird) False) (Or (Eq (animal a) False) (Eq (eats a_bird a_grain) False)) 5.10/5.26 Clause #274 (by clausification #[251]): ∀ (a a_1 a_2 : Iota), 5.10/5.26 Or (Eq (eats a_bird a) True) 5.10/5.26 (Or (Eq (eats a_1 a_2) False) 5.10/5.26 (Or (Eq (msmaller a_1 a_bird) False) 5.10/5.26 (Or (Eq (plant a_2) False) (Or (Eq (eats a_bird a_1) True) (Or (Eq (animal a_1) False) (Eq (plant a) False)))))) 5.10/5.26 Clause #275 (by superposition #[274, 70]): ∀ (a : Iota), 5.10/5.26 Or (Eq (eats a_bird a) True) 5.10/5.26 (Or (Eq (msmaller a_snail a_bird) False) 5.10/5.26 (Or (Eq (plant (sf a_snail)) False) 5.10/5.26 (Or (Eq (eats a_bird a_snail) True) 5.10/5.26 (Or (Eq (animal a_snail) False) (Or (Eq (plant a) False) (Eq False True)))))) 5.10/5.26 Clause #300 (by clausification #[275]): ∀ (a : Iota), 5.10/5.26 Or (Eq (eats a_bird a) True) 5.10/5.26 (Or (Eq (msmaller a_snail a_bird) False) 5.10/5.26 (Or (Eq (plant (sf a_snail)) False) 5.10/5.26 (Or (Eq (eats a_bird a_snail) True) (Or (Eq (animal a_snail) False) (Eq (plant a) False))))) 5.10/5.26 Clause #301 (by forward demodulation #[300, 96]): ∀ (a : Iota), 5.10/5.26 Or (Eq (eats a_bird a) True) 5.10/5.26 (Or (Eq (msmaller a_snail a_bird) False) 5.10/5.26 (Or (Eq True False) (Or (Eq (eats a_bird a_snail) True) (Or (Eq (animal a_snail) False) (Eq (plant a) False))))) 5.10/5.26 Clause #302 (by clausification #[301]): ∀ (a : Iota), 5.10/5.26 Or (Eq (eats a_bird a) True) 5.10/5.26 (Or (Eq (msmaller a_snail a_bird) False) 5.10/5.26 (Or (Eq (eats a_bird a_snail) True) (Or (Eq (animal a_snail) False) (Eq (plant a) False)))) 5.10/5.26 Clause #303 (by forward demodulation #[302, 16]): ∀ (a : Iota), 5.10/5.26 Or (Eq (eats a_bird a) True) 5.10/5.26 (Or (Eq (msmaller a_snail a_bird) False) 5.10/5.26 (Or (Eq (eats a_bird a_snail) True) (Or (Eq True False) (Eq (plant a) False)))) 5.10/5.26 Clause #304 (by clausification #[303]): ∀ (a : Iota), 5.10/5.26 Or (Eq (eats a_bird a) True) 5.10/5.26 (Or (Eq (msmaller a_snail a_bird) False) (Or (Eq (eats a_bird a_snail) True) (Eq (plant a) False))) 5.10/5.26 Clause #305 (by superposition #[304, 179]): ∀ (a : Iota), 5.10/5.26 Or (Eq (eats a_bird a) True) (Or (Eq (eats a_bird a_snail) True) (Or (Eq (plant a) False) (Eq False True))) 5.10/5.26 Clause #306 (by clausification #[305]): ∀ (a : Iota), Or (Eq (eats a_bird a) True) (Or (Eq (eats a_bird a_snail) True) (Eq (plant a) False)) 5.10/5.26 Clause #307 (by superposition #[306, 25]): Or (Eq (eats a_bird a_grain) True) (Or (Eq (eats a_bird a_snail) True) (Eq False True)) 5.10/5.26 Clause #310 (by clausification #[258]): ∀ (a a_1 a_2 : Iota), 5.10/5.26 Or (Eq (eats a_wolf a) True) 5.10/5.26 (Or (Eq (eats a_1 a_2) False) 5.10/5.26 (Or (Eq (msmaller a_1 a_wolf) False) 5.10/5.26 (Or (Eq (plant a_2) False) (Or (Eq (eats a_wolf a_1) True) (Or (Eq (animal a_1) False) (Eq (plant a) False)))))) 5.10/5.26 Clause #314 (by clausification #[307]): Or (Eq (eats a_bird a_grain) True) (Eq (eats a_bird a_snail) True) 5.10/5.26 Clause #317 (by superposition #[314, 217]): ∀ (a : Iota), 5.10/5.26 Or (Eq (eats a_bird a_snail) True) 5.10/5.26 (Or (Eq (eats a_fox a) True) 5.10/5.26 (Or (Eq True False) 5.10/5.26 (Or (Eq (msmaller a_bird a_fox) False) 5.10/5.26 (Or (Eq (plant a_grain) False) 5.10/5.26 (Or (Eq (eats a_fox a_bird) True) (Or (Eq (animal a_bird) False) (Eq (plant a) False))))))) 5.10/5.26 Clause #375 (by clausification #[317]): ∀ (a : Iota), 5.10/5.26 Or (Eq (eats a_bird a_snail) True) 5.10/5.26 (Or (Eq (eats a_fox a) True) 5.10/5.26 (Or (Eq (msmaller a_bird a_fox) False) 5.10/5.26 (Or (Eq (plant a_grain) False) 5.10/5.26 (Or (Eq (eats a_fox a_bird) True) (Or (Eq (animal a_bird) False) (Eq (plant a) False)))))) 5.10/5.26 Clause #376 (by forward demodulation #[375, 25]): ∀ (a : Iota), 5.10/5.26 Or (Eq (eats a_bird a_snail) True) 5.10/5.26 (Or (Eq (eats a_fox a) True) 5.10/5.28 (Or (Eq (msmaller a_bird a_fox) False) 5.10/5.28 (Or (Eq True False) (Or (Eq (eats a_fox a_bird) True) (Or (Eq (animal a_bird) False) (Eq (plant a) False)))))) 5.10/5.28 Clause #377 (by clausification #[376]): ∀ (a : Iota), 5.10/5.28 Or (Eq (eats a_bird a_snail) True) 5.10/5.28 (Or (Eq (eats a_fox a) True) 5.10/5.28 (Or (Eq (msmaller a_bird a_fox) False) 5.10/5.28 (Or (Eq (eats a_fox a_bird) True) (Or (Eq (animal a_bird) False) (Eq (plant a) False))))) 5.10/5.28 Clause #378 (by forward demodulation #[377, 247]): ∀ (a : Iota), 5.10/5.28 Or (Eq (eats a_bird a_snail) True) 5.10/5.28 (Or (Eq (eats a_fox a) True) 5.10/5.28 (Or (Eq (msmaller a_bird a_fox) False) 5.10/5.28 (Or (Eq (eats a_fox a_bird) True) (Or (Eq True False) (Eq (plant a) False))))) 5.10/5.28 Clause #379 (by clausification #[378]): ∀ (a : Iota), 5.10/5.28 Or (Eq (eats a_bird a_snail) True) 5.10/5.28 (Or (Eq (eats a_fox a) True) 5.10/5.28 (Or (Eq (msmaller a_bird a_fox) False) (Or (Eq (eats a_fox a_bird) True) (Eq (plant a) False)))) 5.10/5.28 Clause #380 (by superposition #[379, 202]): ∀ (a : Iota), 5.10/5.28 Or (Eq (eats a_bird a_snail) True) 5.10/5.28 (Or (Eq (eats a_fox a) True) (Or (Eq (eats a_fox a_bird) True) (Or (Eq (plant a) False) (Eq False True)))) 5.10/5.28 Clause #381 (by clausification #[380]): ∀ (a : Iota), 5.10/5.28 Or (Eq (eats a_bird a_snail) True) 5.10/5.28 (Or (Eq (eats a_fox a) True) (Or (Eq (eats a_fox a_bird) True) (Eq (plant a) False))) 5.10/5.28 Clause #382 (by superposition #[381, 25]): Or (Eq (eats a_bird a_snail) True) 5.10/5.28 (Or (Eq (eats a_fox a_grain) True) (Or (Eq (eats a_fox a_bird) True) (Eq False True))) 5.10/5.28 Clause #385 (by clausification #[382]): Or (Eq (eats a_bird a_snail) True) (Or (Eq (eats a_fox a_grain) True) (Eq (eats a_fox a_bird) True)) 5.10/5.28 Clause #387 (by superposition #[385, 58]): Or (Eq (eats a_fox a_grain) True) 5.10/5.28 (Or (Eq (eats a_fox a_bird) True) (Or (Eq True False) (Or (Eq (bird a_bird) False) (Eq (snail a_snail) False)))) 5.10/5.28 Clause #411 (by clausification #[387]): Or (Eq (eats a_fox a_grain) True) 5.10/5.28 (Or (Eq (eats a_fox a_bird) True) (Or (Eq (bird a_bird) False) (Eq (snail a_snail) False))) 5.10/5.28 Clause #412 (by forward demodulation #[411, 170]): 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))) 5.10/5.28 Clause #413 (by clausification #[412]): Or (Eq (eats a_fox a_grain) True) (Or (Eq (eats a_fox a_bird) True) (Eq (snail a_snail) False)) 5.10/5.28 Clause #414 (by forward demodulation #[413, 13]): Or (Eq (eats a_fox a_grain) True) (Or (Eq (eats a_fox a_bird) True) (Eq True False)) 5.10/5.28 Clause #415 (by clausification #[414]): Or (Eq (eats a_fox a_grain) True) (Eq (eats a_fox a_bird) True) 5.10/5.28 Clause #421 (by superposition #[415, 310]): ∀ (a : Iota), 5.10/5.28 Or (Eq (eats a_fox a_bird) True) 5.10/5.28 (Or (Eq (eats a_wolf a) True) 5.10/5.28 (Or (Eq True False) 5.10/5.28 (Or (Eq (msmaller a_fox a_wolf) False) 5.10/5.28 (Or (Eq (plant a_grain) False) 5.10/5.28 (Or (Eq (eats a_wolf a_fox) True) (Or (Eq (animal a_fox) False) (Eq (plant a) False))))))) 5.10/5.28 Clause #447 (by clausification #[421]): ∀ (a : Iota), 5.10/5.28 Or (Eq (eats a_fox a_bird) True) 5.10/5.28 (Or (Eq (eats a_wolf a) True) 5.10/5.28 (Or (Eq (msmaller a_fox a_wolf) False) 5.10/5.28 (Or (Eq (plant a_grain) False) 5.10/5.28 (Or (Eq (eats a_wolf a_fox) True) (Or (Eq (animal a_fox) False) (Eq (plant a) False)))))) 5.10/5.28 Clause #448 (by forward demodulation #[447, 25]): ∀ (a : Iota), 5.10/5.28 Or (Eq (eats a_fox a_bird) True) 5.10/5.28 (Or (Eq (eats a_wolf a) True) 5.10/5.28 (Or (Eq (msmaller a_fox a_wolf) False) 5.10/5.28 (Or (Eq True False) (Or (Eq (eats a_wolf a_fox) True) (Or (Eq (animal a_fox) False) (Eq (plant a) False)))))) 5.10/5.28 Clause #449 (by clausification #[448]): ∀ (a : Iota), 5.10/5.28 Or (Eq (eats a_fox a_bird) True) 5.10/5.28 (Or (Eq (eats a_wolf a) True) 5.10/5.28 (Or (Eq (msmaller a_fox a_wolf) False) 5.10/5.28 (Or (Eq (eats a_wolf a_fox) True) (Or (Eq (animal a_fox) False) (Eq (plant a) False))))) 5.10/5.28 Clause #450 (by forward demodulation #[449, 197]): ∀ (a : Iota), 5.10/5.28 Or (Eq (eats a_fox a_bird) True) 5.10/5.28 (Or (Eq (eats a_wolf a) True) 5.10/5.28 (Or (Eq (msmaller a_fox a_wolf) False) 5.10/5.28 (Or (Eq (eats a_wolf a_fox) True) (Or (Eq True False) (Eq (plant a) False))))) 5.10/5.28 Clause #451 (by clausification #[450]): ∀ (a : Iota), 5.10/5.30 Or (Eq (eats a_fox a_bird) True) 5.10/5.30 (Or (Eq (eats a_wolf a) True) 5.10/5.30 (Or (Eq (msmaller a_fox a_wolf) False) (Or (Eq (eats a_wolf a_fox) True) (Eq (plant a) False)))) 5.10/5.30 Clause #452 (by superposition #[451, 216]): ∀ (a : Iota), 5.10/5.30 Or (Eq (eats a_fox a_bird) True) 5.10/5.30 (Or (Eq (eats a_wolf a) True) (Or (Eq (eats a_wolf a_fox) True) (Or (Eq (plant a) False) (Eq False True)))) 5.10/5.30 Clause #453 (by clausification #[452]): ∀ (a : Iota), 5.10/5.30 Or (Eq (eats a_fox a_bird) True) 5.10/5.30 (Or (Eq (eats a_wolf a) True) (Or (Eq (eats a_wolf a_fox) True) (Eq (plant a) False))) 5.10/5.30 Clause #454 (by superposition #[453, 25]): Or (Eq (eats a_fox a_bird) True) (Or (Eq (eats a_wolf a_grain) True) (Or (Eq (eats a_wolf a_fox) True) (Eq False True))) 5.10/5.30 Clause #460 (by clausification #[454]): Or (Eq (eats a_fox a_bird) True) (Or (Eq (eats a_wolf a_grain) True) (Eq (eats a_wolf a_fox) True)) 5.10/5.30 Clause #461 (by superposition #[460, 270]): Or (Eq (eats a_wolf a_grain) True) 5.10/5.30 (Or (Eq (eats a_wolf a_fox) True) 5.10/5.30 (Or (Eq True False) (Or (Eq (animal a_fox) False) (Eq (eats a_bird a_grain) False)))) 5.10/5.30 Clause #493 (by clausification #[461]): Or (Eq (eats a_wolf a_grain) True) 5.10/5.30 (Or (Eq (eats a_wolf a_fox) True) (Or (Eq (animal a_fox) False) (Eq (eats a_bird a_grain) False))) 5.10/5.30 Clause #494 (by forward demodulation #[493, 197]): Or (Eq (eats a_wolf a_grain) True) 5.10/5.30 (Or (Eq (eats a_wolf a_fox) True) (Or (Eq True False) (Eq (eats a_bird a_grain) False))) 5.10/5.30 Clause #495 (by clausification #[494]): Or (Eq (eats a_wolf a_grain) True) (Or (Eq (eats a_wolf a_fox) True) (Eq (eats a_bird a_grain) False)) 5.10/5.30 Clause #496 (by superposition #[495, 314]): Or (Eq (eats a_wolf a_grain) True) 5.10/5.30 (Or (Eq (eats a_wolf a_fox) True) (Or (Eq False True) (Eq (eats a_bird a_snail) True))) 5.10/5.30 Clause #497 (by clausification #[496]): Or (Eq (eats a_wolf a_grain) True) (Or (Eq (eats a_wolf a_fox) True) (Eq (eats a_bird a_snail) True)) 5.10/5.30 Clause #499 (by superposition #[497, 58]): Or (Eq (eats a_wolf a_grain) True) 5.10/5.30 (Or (Eq (eats a_wolf a_fox) True) (Or (Eq True False) (Or (Eq (bird a_bird) False) (Eq (snail a_snail) False)))) 5.10/5.30 Clause #508 (by clausification #[499]): Or (Eq (eats a_wolf a_grain) True) 5.10/5.30 (Or (Eq (eats a_wolf a_fox) True) (Or (Eq (bird a_bird) False) (Eq (snail a_snail) False))) 5.10/5.30 Clause #509 (by forward demodulation #[508, 170]): Or (Eq (eats a_wolf a_grain) True) (Or (Eq (eats a_wolf a_fox) True) (Or (Eq True False) (Eq (snail a_snail) False))) 5.10/5.30 Clause #510 (by clausification #[509]): Or (Eq (eats a_wolf a_grain) True) (Or (Eq (eats a_wolf a_fox) True) (Eq (snail a_snail) False)) 5.10/5.30 Clause #511 (by forward demodulation #[510, 13]): Or (Eq (eats a_wolf a_grain) True) (Or (Eq (eats a_wolf a_fox) True) (Eq True False)) 5.10/5.30 Clause #512 (by clausification #[511]): Or (Eq (eats a_wolf a_grain) True) (Eq (eats a_wolf a_fox) True) 5.10/5.30 Clause #514 (by superposition #[512, 213]): Or (Eq (eats a_wolf a_fox) True) (Or (Eq True False) (Eq (grain a_grain) False)) 5.10/5.30 Clause #521 (by clausification #[514]): Or (Eq (eats a_wolf a_fox) True) (Eq (grain a_grain) False) 5.10/5.30 Clause #522 (by forward demodulation #[521, 17]): Or (Eq (eats a_wolf a_fox) True) (Eq True False) 5.10/5.30 Clause #523 (by clausification #[522]): Eq (eats a_wolf a_fox) True 5.10/5.30 Clause #533 (by superposition #[523, 212]): Or (Eq True False) (Eq (fox a_fox) False) 5.10/5.30 Clause #542 (by clausification #[533]): Eq (fox a_fox) False 5.10/5.30 Clause #543 (by superposition #[542, 193]): Eq False True 5.10/5.30 Clause #544 (by clausification #[543]): False 5.10/5.30 SZS output end Proof for theBenchmark.p 5.10/5.30 EOF