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src/HOL/SMT/Examples/cert/z3_linarith_18.proof
author haftmann
Tue, 08 Dec 2009 13:40:57 +0100
changeset 34030 829eb528b226
parent 33446 153a27370a42
permissions -rw-r--r--
resorted code equations from "old" number theory version
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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#2 := false
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#55 := 0::int
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#7 := 2::int
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decl uf_1 :: int
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#4 := uf_1
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#8 := (mod uf_1 2::int)
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#9 := (* 2::int #8)
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#56 := (>= #9 0::int)
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#51 := (not #56)
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#5 := 1::int
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#10 := (+ #9 1::int)
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#11 := (+ uf_1 #10)
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#6 := (+ uf_1 1::int)
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#12 := (<= #6 #11)
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#13 := (not #12)
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#58 := (iff #13 #51)
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#39 := (+ uf_1 #9)
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#40 := (+ 1::int #39)
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#30 := (+ 1::int uf_1)
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#45 := (<= #30 #40)
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#48 := (not #45)
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#52 := (iff #48 #51)
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#53 := (iff #45 #56)
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#54 := [rewrite]: #53
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#57 := [monotonicity #54]: #52
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#49 := (iff #13 #48)
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#46 := (iff #12 #45)
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#43 := (= #11 #40)
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#33 := (+ 1::int #9)
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#36 := (+ uf_1 #33)
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#41 := (= #36 #40)
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#42 := [rewrite]: #41
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#37 := (= #11 #36)
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#34 := (= #10 #33)
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#35 := [rewrite]: #34
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#38 := [monotonicity #35]: #37
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#44 := [trans #38 #42]: #43
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#31 := (= #6 #30)
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#32 := [rewrite]: #31
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#47 := [monotonicity #32 #44]: #46
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#50 := [monotonicity #47]: #49
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#59 := [trans #50 #57]: #58
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#29 := [asserted]: #13
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#60 := [mp #29 #59]: #51
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#107 := (>= #8 0::int)
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#1 := true
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#28 := [true-axiom]: true
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#135 := (or false #107)
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#136 := [th-lemma]: #135
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#137 := [unit-resolution #136 #28]: #107
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[th-lemma #137 #60]: false
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unsat
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