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Theorem base summary for Specification ShearSort
Status:
Proved!
Axioms: 28, User Theorems: 68 (Proved: 68, Partially proved: 0, Unproved: 0, Invalid: 0, Siginvalid: 0)
Proof steps: 1289, Interactions: 571
allperm-permtoArr(6,3)
colno-updrow(0,0)
colsorted-samecount-above-clean0(25,13)
countevn-def(0,0)
countodd-zero-ind(13,4)
divup2-def(8,4)
log2up-def(0,0)
psortcols-correct(18,9)
rowperms-clean1unchanged(23,11)
srowsorted-dirtyboundunchanged(7,4)
allperm-permtoArr-ind(11,4)
colsort-dirtyboundhalf(64,29)
count-add-even-odd(6,4)
countevn-maxcol0-bounded(46,20)
dirtyrows-def(0,0)
exists-max0column(3,2)
max0column-clean0rowsbounded(49,26)
psortrows(0,0)
rowperms-dirtyrowsunchanged(12,4)
srowsorted-evenrowordered(5,2)
clean0-plus-clean1-bounded(34,13)
colsorted-clean0notls(28,14)
count-add-even-odd-ind(16,2)
countevn-rec(0,0)
dirtyrows-trivialbound(4,2)
exists-max0column-ind(11,6)
max0column-countcol(6,5)
psortrows-correct(46,26)
rowsincreasing-allrowsorted-sorted(5,2)
srowsorted-oddrowordered(5,2)
clean0rows-allls(0,0)
colsorted-clean1notls(30,14)
count0-leq-clean0(7,3)
countevn-zero-ind(12,4)
dirtyrowsbound-def(0,0)
exists-max1column(3,2)
max0column-countcol-big-odd(9,3)
psortrowsnake(0,0)
rowsincreasing-allrowsorted-sorted-ind(32,14)
srowsorted-permrow(4,1)
clean0rows-bounded(0,0)
colsorted-colordered(4,1)
count0-leq-clean0-ind(14,5)
countodd-append-ind(7,3)
dirtyrowsone-rowsincreasing(59,30)
exists-max1column-ind(11,6)
max0column-countcol-small-even(3,2)
psortrowsnake-correct(13,5)
rowsincreasing-def(0,0)
srowsorted-permtoArr(5,3)
clean0rows-notallls(0,0)
colsorted-count-below-clean0rows(10,5)
count1-leq-clean1(9,3)
countodd-base(0,0)
dirytrows-leone(22,12)
fullcountevn-range(41,16)
max0column-determines-clean1rows(33,13)
psortrowssnake(0,0)
rowsorted-biggercol-oddbounded(34,13)
srowsorted-permtoArr-ind(11,6)
clean1rows-allge(0,0)
colsorted-def(0,0)
count1-leq-clean1-ind(14,6)
countodd-bounded-ind(65,26)
dirytrows-zero(7,3)
fullcountodd-range(27,12)
ordered-rev(35,11)
psortrowssnake-correct(23,12)
rowsorted-smallercol-evnbounded(17,9)
clean1rows-bounded(0,0)
colsorted-permcol(5,1)
countevn-append-ind(7,3)
countodd-def(0,0)
divup-def(0,0)
log2ub-lem(12,7)
pshearsort(0,0)
rowno-updcol(0,0)
sort-possible(9,4)
clean1rows-notallge(0,0)
colsorted-permtoArc-ind(11,6)
countevn-base(0,0)
countodd-maxcol0-bounded(43,20)
divup-half(58,23)
log2ub-log2(5,4)
pshearsort-correct(51,13)
rowno-updrow(0,0)
sortedperm-count-splits(4,2)
colno-updcol(0,0)
colsorted-permtoArr(10,7)
countevn-bounded-ind(39,16)
countodd-rec(0,0)
divup-one(2,1)
log2ub-zero(4,2)
psortcols(0,0)
rowperms-clean0unchanged(17,8)
srowsorted-def(0,0)