restart
help
If these are the first lines of a proof, what would be the most appropriate line to create next?
1. ~(~Rv~S)
2.~Mv~~N
Check
?
~~R&~~S
?
~R&~S
?
~MvN
?
R&S
1. ~S→~T
2.~(~S→W)
Check
?
~S&~W
?
S→W
?
~~S&~W
?
~S
1. ~(~A→B)
2.~~A→(CvD)
Check
?
~A&~B
?
~~A&~B
?
~Av~B
?
A→(CvD)
1. ~(~R&S)
2.~~Tv(W→Z)
Check
?
~~Rv~S
?
~T&~(W→Z)
?
Tv(W→Z)
?
~Rv~S
1. ~(A&B)→C
2.~((C&D)&E)
Check
?
~(C&D)v~E
?
~C&Dv~E
?
(~Cv~D)&~E
?
(A&B)&~C
1. ~((A&B)→C)
2.~(R&S)→T
Check
?
(A&B)&~C
?
~(A&B)&~C
?
(R&S)&~T
?
(R&S)→~T
1. ~((RvS)vT)
2.~(MvN)→W
Check
?
~(RvS)&~T
?
~~(RvS)&~T
?
(~R&~S)&~T
?
(MvN)&~W
1. ~(D&E)→Z
2.~((MvN)→S)
Check
?
(MvN)&~S
?
(D&E)&~Z
?
~(MvN)&~S
?
~(D&E)&~Z
1. ~~(A&~B)
2.~(AvC)v~D
Check
?
A&~B
?
~(AvC)&~~D
?
~~Av~~~B
?
(~A&~C)v~~D
1. ~(R↔(SvT))
2.~~(M&(RvS))
Check
?
M&(RvS)
?
~Mv~(RvS)
?
~R&~(SvT)
?
~(R→(SvT))&~((SvT)→R)
1. A→~B
2. BvC
3. ~~B
Check
?
~A
?
C
?
A
?
~C
1. M→N
2. Mv~N
3. ~N
Check
?
~M
?
M
?
~~M
?
~~N
1. D→~E
2. FvE
3. ~E
Check
?
F
?
~F
?
D
?
~D
1. R→S
2. Rv~S
3. ~R
Check
?
~S
?
~~S
?
S
?
~~R
1. ~Bv~C
2. ~B→D
3. ~~B
Check
?
~C
?
~D
?
D
?
~~C
1. ~R→A
2. B→~R
3. ~~R
Check
?
~B
?
A
?
B
?
~A
1. ~Mv~N
2. ~R→N
3. ~N
Check
?
~~R
?
R
?
~M
?
~~M
1. (RvS)→(T&W)
2. R
3. M→R
Check
?
RvS
?
M
?
~~R
?
~M
1. T→~S
2. (~Sv~N)→W
3. ~S
Check
?
~Sv~N
?
T
?
~T
?
W
1. (MvN)vR
2. M
3. (Mv~T)→~R
Check
?
Mv~T
?
MvN
?
~R
?
MvN
1. ~(Rv~S)→W
2. ~S
3. (Tv~S)→M
Check
?
Tv~S
?
Rv~S
?
~SvT
?
~(Rv~S)
1. (~Rv(J&K))→N
2. R→(S&T)
3. ~R
4. (ZvW)v~R
Check
?
~Rv(J&K)
?
~(S&T)
?
ZvW
?
~(ZvW)
1. (M&N)→~B
2. ~Bv(E&F)
3. ~B
4. ((S→T)v~B)→W
Check
?
(S→T)v~B
?
E&F
?
M&N
?
~(M&N)
1. ~(T→S)→~D
2. Rv~D
3. (~(M&N)v~D)→S
4. ~D
Check
?
~(M&N)v~D
?
(M&N)v~D
?
R
?
~~(T→S)
1. ~(AvB)↔(R&S)
2. ~(RvS)→~Z
3. ~Z
Check
?
~(AvB)→(R&S)
?
(RvS)&~~Z
?
~~(RvS)
?
(RvS)&~~Z
1. ~(MvN)→~R
2. ~A↔(~R→~S)
3. MvN
Check
?
~A→(~R→~S)
?
~~R
?
~M&~N
?
(MvN)&~~R
1. (A↔B)→~C
2. A→B
3. ~(R↔S)
4. B→A
Check
?
A↔B
?
~(R→S)&~(S→R)
?
~R&~S
?
~Rv~S
1. ~E→(CvD)
2. ~C
3. ((CvD)↔~E)→M
4. (CvD)→~E
Check
?
(CvD)↔~E
?
M
?
~Cv~D
?
~CvD
1. T→~(R&S)
2. Tv~(S&R)
3. ~(R&S)→T
4. (~(R&S)↔T)→N
Check
?
~(R&S)↔T
?
~T
?
S&R
?
T
1. (MvN)v~(R↔T)
2. ~M
3. R→T
4. ~(R↔T)→M
Check
?
~~(R↔T)
?
~(R↔T)
?
MvN
?
~MvN
1. A→~T
2. Av~B
3. R→~B
4. ~B→~T
Check
?
~T
?
A
?
~R
?
~B
1. (S→T)→~M
2. ~S→T
3. Rv(S→T)
4. R→~M
Check
?
~M
?
R
?
T
?
~R
1. ~(AvB)→(NvM)
2. C→(NvM)
3. ~NvM
4. ~(AvB)vC
Check
?
NvM
?
~N
?
~C
?
~~(AvB)
1. ~Av~Z
2. ~Z→~(M→N)
3. ~M→N
4. ~A→~(M→N)
Check
?
~(M→N)
?
~M→N
?
~~A
?
~~Z
1. RvS
2. R→~M
3. S→~Z
4. ~~M
Check
?
~R
?
~M
?
~Z
?
S
1. ~T→~N
2. (T→~N)→~S
3. ~(~R→W)
4. ~S
Check
?
~R&~W
?
~(T→~N)
?
T→~N
?
~S
1. ~(MvN)v~R
2. ~R→T
3. MvN
4. T→(MvN)
Check
?
~~(MvN)
?
~R
?
T
?
~T
1. ~R→~S
2. S
3. SvT
Check
?
~~S
?
~~R
?
T
?
~R
1. ~~M→(AvB)
2. M
3. (R&S)→M
Check
?
~~M
?
R&S
?
AvB
?
~(R&S)
1. A
2. C→A
3. ~AvB
Check
?
~~A
?
~C
?
B
?
C
1. (N&M)v~S
2. RvS
3. S
Check
?
~~S
?
R
?
N&M
?
~(N&M)
1. R→S
2. Tv~(R→S)
3. T→~W
4. ~W→~S
Check
?
~~(R→S)
?
T
?
W&~S
?
~W&~S
1. ~A→(B↔C)
2. ~C
3. ~(B↔C)
4. ~B
Check
?
~~A
?
~Bv~C
?
~B&~C
?
~A
1. ~(S↔T)
2. T→~(R&S)
3. ~R→(S↔T)
4. ~(S↔T)vM
Check
?
~~R
?
M
?
~M
?
~(S→T)&~(T→S)
1. (MvN)v~S
2. ~~S
3. (RvZ)v~T
4. ~T
Check
?
MvN
?
RvZ
?
~(RvZ)
?
~(MvN)
1. A→~(BvC)
2. B
3. ~M→(BvD)
Check
?
BvC
?
BvD
?
~A
?
~(BvD)
1. ~E→~(SvT)
2. D
3. S
4. ~E→(DvE)
Check
?
SvT
?
DvE
?
~(DvE)
?
~E
1. M
2. S
3. ~(WvN)v(RvS)
4. ~(MvN)vT
Check
?
MvN
?
RvS
?
T
?
~(WvN)&~(RvS)
1. ~R
2. ~(~Rv~D)→~C
3. ~C→~(AvB)
4. B
Check
?
AvB
?
~Rv~D
?
~C
?
C&~~(AvB)
1. ~(N&M)v~(DvE)
2. N
3. D
Check
?
DvE
?
NvM
?
~(N&M)&~~(DvE)
?
N&D
1. (R→S)→~T
2. Tv~N
3. ~~T
4. ~T→W
Check
?
~(R→S)
?
~N
?
T&~W
?
~W
~
&
→
v
↔
(
)
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
R
S
T
U
W
Y
Z
<<
>>
Show all
OK
restart
help