Datasets:
Tasks:
Text Generation
Modalities:
Text
Sub-tasks:
language-modeling
Languages:
English
Size:
100K - 1M
License:
File size: 753 Bytes
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TAUT
`(~input_a ==> (internal <=> T)) /\
(~input_b ==> (output <=> internal)) /\
(input_a ==> (output <=> F)) /\
(input_b ==> (output <=> F))
==> (output <=> ~(input_a \/ input_b))`;;
TAUT
`(i1 /\ i2 <=> a) /\
(i1 /\ i3 <=> b) /\
(i2 /\ i3 <=> c) /\
(i1 /\ c <=> d) /\
(m /\ r <=> e) /\
(m /\ w <=> f) /\
(n /\ w <=> g) /\
(p /\ w <=> h) /\
(q /\ w <=> i) /\
(s /\ x <=> j) /\
(t /\ x <=> k) /\
(v /\ x <=> l) /\
(i1 \/ i2 <=> m) /\
(i1 \/ i3 <=> n) /\
(i1 \/ q <=> p) /\
(i2 \/ i3 <=> q) /\
(i3 \/ a <=> r) /\
(a \/ w <=> s) /\
(b \/ w <=> t) /\
(d \/ h <=> u) /\
(c \/ w <=> v) /\
(~e <=> w) /\
(~u <=> x) /\
(i \/ l <=> o1) /\
(g \/ k <=> o2) /\
(f \/ j <=> o3)
==> (o1 <=> ~i1) /\ (o2 <=> ~i2) /\ (o3 <=> ~i3)`;;
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