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src/HOL/SMT/Examples/cert/z3_linarith_11.proof
author boehmes
Fri, 11 Dec 2009 15:36:05 +0100
changeset 34069 c1fd26512f6d
parent 33010 39f73a59e855
permissions -rw-r--r--
updated dependencies
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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#2 := false
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#11 := 4::real
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decl uf_2 :: real
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#8 := uf_2
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#7 := 7::real
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#9 := (* 7::real uf_2)
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decl uf_1 :: real
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#5 := uf_1
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#4 := 3::real
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#6 := (* 3::real uf_1)
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#10 := (+ #6 #9)
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#41 := (>= #10 4::real)
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#39 := (not #41)
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#12 := (< #10 4::real)
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#40 := (iff #12 #39)
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#37 := [rewrite]: #40
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#34 := [asserted]: #12
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#38 := [mp #34 #37]: #39
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#13 := 2::real
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#14 := (* 2::real uf_1)
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#43 := (<= #14 3::real)
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#44 := (not #43)
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#15 := (< 3::real #14)
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#45 := (iff #15 #44)
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#46 := [rewrite]: #45
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#35 := [asserted]: #15
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#47 := [mp #35 #46]: #44
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#16 := 0::real
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#51 := (>= uf_2 0::real)
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#17 := (< uf_2 0::real)
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#18 := (not #17)
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#58 := (iff #18 #51)
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#49 := (not #51)
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#53 := (not #49)
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#56 := (iff #53 #51)
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#57 := [rewrite]: #56
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#54 := (iff #18 #53)
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#50 := (iff #17 #49)
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#52 := [rewrite]: #50
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#55 := [monotonicity #52]: #54
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#59 := [trans #55 #57]: #58
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#36 := [asserted]: #18
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#60 := [mp #36 #59]: #51
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[th-lemma #60 #47 #38]: false
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unsat
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