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kok31_13.slt
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kok31_13.slt
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(:DESCRIPTIONS
((:X
499
:Y
15
:ID
2
:NAME
"GIVEN2"
:FORMULA
"(exists x (forall y (Likes x y)))"
:JUSTIFICATION
LOGIC::ASSUME)
(:X
58
:Y
189
:ID
4
:NAME
""
:FORMULA
"(forall (y) (if (Likes a y) (Likes y a)))"
:JUSTIFICATION
LOGIC::FORALL-ELIM)
(:X
77
:Y
351
:ID
5
:NAME
""
:FORMULA
"(if (Likes a b) (Likes b a))"
:JUSTIFICATION
LOGIC::FORALL-ELIM)
(:X
15
:Y
27
:ID
1
:NAME
"GIVEN1"
:FORMULA
"(forall (x y) (if (Likes x y) (Likes y x)))"
:JUSTIFICATION
LOGIC::ASSUME)
(:X
387
:Y
108
:ID
6
:NAME
""
:FORMULA
"(forall (y) (Likes a y))"
:JUSTIFICATION
LOGIC::ASSUME)
(:X
401
:Y
340
:ID
7
:NAME
""
:FORMULA
"(Likes a b)"
:JUSTIFICATION
LOGIC::FORALL-ELIM)
(:X
279
:Y
485
:ID
8
:NAME
""
:FORMULA
"(Likes b a)"
:JUSTIFICATION
LOGIC::PC-PROVABILITY)
(:X
265
:Y
597
:ID
9
:NAME
""
:FORMULA
"(exists (y) (Likes b y))"
:JUSTIFICATION
LOGIC::EXISTS-INTRO)
(:X
443
:Y
710
:ID
10
:NAME
""
:FORMULA
"(exists (y) (Likes b y))"
:JUSTIFICATION
LOGIC::EXISTS-ELIM)
(:X
424
:Y
881
:ID
3
:NAME
"GOAL"
:FORMULA
"(forall x (exists y (Likes x y)))"
:JUSTIFICATION
LOGIC::FORALL-INTRO))
:STRUCTURES
((:CONCLUSION 2 :PREMISES NIL)
(:CONCLUSION 4 :PREMISES (1))
(:CONCLUSION 5 :PREMISES (4))
(:CONCLUSION 1 :PREMISES NIL)
(:CONCLUSION 6 :PREMISES NIL)
(:CONCLUSION 7 :PREMISES (6))
(:CONCLUSION 8 :PREMISES (5 7))
(:CONCLUSION 9 :PREMISES (8))
(:CONCLUSION 10 :PREMISES (9 2))
(:CONCLUSION 3 :PREMISES (10)))
:INTERFACE
(:X
207
:Y
39
:WIDTH
1536
:HEIGHT
781
:PROOF-SYSTEM
LOGIC::FIRST-ORDER-LOGIC))