5 #83 := (<= ?x1!0 0::int)
7 #155 := [hypothesis]: #83
9 #81 := (>= ?x1!0 1::int)
12 #157 := [th-lemma]: #156
13 #158 := [unit-resolution #157 #155]: #82
16 #79 := (<= ?x1!0 -1::int)
18 #84 := (ite #83 #82 #80)
21 #50 := (<= #5 -1::int)
26 #61 := (ite #45 #54 #51)
27 #66 := (forall (vars (?x1 int)) #61)
35 #11 := (ite #6 #9 #10)
36 #12 := (forall (vars (?x1 int)) #11)
41 #36 := (ite #6 #33 #10)
42 #39 := (forall (vars (?x1 int)) #36)
48 #58 := (ite #46 #51 #54)
58 #60 := [monotonicity #48 #53 #57]: #59
59 #65 := [trans #60 #63]: #64
60 #68 := [quant-intro #65]: #67
61 #71 := [monotonicity #68]: #70
68 #35 := [monotonicity #32]: #34
69 #38 := [monotonicity #35]: #37
70 #41 := [quant-intro #38]: #40
71 #44 := [monotonicity #41]: #43
72 #73 := [trans #44 #71]: #72
73 #29 := [asserted]: #13
74 #74 := [mp #29 #73]: #69
75 #90 := [mp~ #74 #87]: #85
76 #151 := (or #84 #146 #81)
77 #152 := [def-axiom]: #151
78 #160 := [unit-resolution #152 #90]: #159
79 #161 := [unit-resolution #160 #158 #155]: false
80 #162 := [lemma #161]: #146
82 #164 := [th-lemma]: #163
83 #165 := [unit-resolution #164 #162]: #80
85 #153 := (or #84 #83 #79)
86 #154 := [def-axiom]: #153
87 #167 := [unit-resolution #154 #90]: #166
88 [unit-resolution #167 #165 #162]: false