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155 lines
4.5 KiB
Text
155 lines
4.5 KiB
Text
;--------------------------------------------------------------------------
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; File : PUZ031+1 : TPTP v2.2.0. Released v2.0.0.
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; Domain : Puzzles
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; Problem : Schubert's Steamroller
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; Version : Especial.
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; English : Wolves, foxes, birds, caterpillars, and snails are animals, and
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; there are some of each of them. Also there are some grains, and
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; grains are plants. Every animal either likes to eat all plants
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; or all animals much smaller than itself that like to eat some
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; plants. Caterpillars and snails are much smaller than birds,
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; which are much smaller than foxes, which in turn are much
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; smaller than wolves. Wolves do not like to eat foxes or grains,
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; while birds like to eat caterpillars but not snails.
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; Caterpillars and snails like to eat some plants. Therefore
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; there is an animal that likes to eat a grain eating animal.
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; Refs : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
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; : [Hah94] Haehnle (1994), Email to G. Sutcliffe
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; Source : [Hah94]
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; Names : Pelletier 47 [Pel86]
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; Status : theorem
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; Rating : 0.00 v2.1.0
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; Syntax : Number of formulae : 21 ( 6 unit)
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; Number of atoms : 55 ( 0 equality)
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; Maximal formula depth : 9 ( 3 average)
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; Number of connectives : 36 ( 2 ~ ; 4 |; 14 &)
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; ( 0 <=>; 16 =>; 0 <=)
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; ( 0 <~>; 0 ~|; 0 ~&)
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; Number of predicates : 10 ( 0 propositional; 1-2 arity)
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; Number of functors : 0 ( 0 constant; --- arity)
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; Number of variables : 33 ( 0 singleton; 22 !; 11 ?)
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; Maximal term depth : 1 ( 1 average)
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; Comments : This problem is named after Len Schubert.
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; : tptp2X -f kif PUZ031+1.p
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;--------------------------------------------------------------------------
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; pel47_1_1, axiom.
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(forall (?A)
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(=> (wolf ?A)
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(animal ?A) ) )
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; pel47_1_2, axiom.
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(exists (?A)(wolf ?A) )
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; pel47_2_1, axiom.
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(forall (?A)
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(=> (fox ?A)
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(animal ?A) ) )
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; pel47_2_2, axiom.
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(exists (?A)(fox ?A) )
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; pel47_3_1, axiom.
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(forall (?A)
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(=> (bird ?A)
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(animal ?A) ) )
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; pel47_3_2, axiom.
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(exists (?A)(bird ?A) )
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; pel47_4_1, axiom.
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(forall (?A)
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(=> (caterpillar ?A)
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(animal ?A) ) )
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; pel47_4_2, axiom.
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(exists (?A)(caterpillar ?A) )
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; pel47_5_1, axiom.
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(forall (?A)
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(=> (snail ?A)
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(animal ?A) ) )
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; pel47_5_2, axiom.
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(exists (?A)(snail ?A) )
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; pel47_6_1, axiom.
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(exists (?A)(grain ?A) )
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; pel47_6_2, axiom.
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(forall (?A)
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(=> (grain ?A)
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(plant ?A) ) )
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; pel47_7, axiom.
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(forall (?A)
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(=> (animal ?A)
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(or (forall (?B)
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(=> (plant ?B)
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(eats ?A ?B) ) )
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(forall (?C)
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(=> (and (and (animal ?C)
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(much_smaller ?C ?A) )
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(exists (?D)
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(and (plant ?D)
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(eats ?C ?D) ) ) )
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(eats ?A ?C) ) ) ) ) )
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; pel47_8, axiom.
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(forall (?A ?B)
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(=> (and (bird ?B)
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(or (snail ?A)
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(caterpillar ?A) ) )
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(much_smaller ?A ?B) ) )
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; pel47_9, axiom.
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(forall (?A ?B)
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(=> (and (bird ?A)
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(fox ?B) )
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(much_smaller ?A ?B) ) )
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; pel47_10, axiom.
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(forall (?A ?B)
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(=> (and (fox ?A)
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(wolf ?B) )
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(much_smaller ?A ?B) ) )
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; pel47_11, axiom.
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(forall (?A ?B)
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(=> (and (wolf ?A)
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(or (fox ?B)
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(grain ?B) ) )
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(not (eats ?A ?B) ) ) )
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; pel47_12, axiom.
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(forall (?A ?B)
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(=> (and (bird ?A)
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(caterpillar ?B) )
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(eats ?A ?B) ) )
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; pel47_13, axiom.
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(forall (?A ?B)
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(=> (and (bird ?A)
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(snail ?B) )
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(not (eats ?A ?B) ) ) )
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; pel47_14, axiom.
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(forall (?A)
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(=> (or (caterpillar ?A)
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(snail ?A) )
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(exists (?B)
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(and (plant ?B)
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(eats ?A ?B) ) ) ) )
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; pel47, conjecture.
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(not (exists (?A ?B)
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(and (and (animal ?A)
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(animal ?B) )
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(exists (?C)
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(and (and (grain ?C)
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(eats ?B ?C) )
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(eats ?A ?B) ) ) ) ) )
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;--------------------------------------------------------------------------
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